The mean of the temperatures shown is -39.4°F.
What is the mean temperature?
The average mean air temperature throughout a specific time period, typically a day, a month, or a year, as measured by a thermometer that has been properly exposed. The mean temperature is often calculated for the year and for each month in climatological tables.
Date: Low temperature:
January 1 -42°F
January 2 -31°F
January 3 -40°F
January 4 -40°F
January 5 -44°F
Mean = Total sum of all 5 days temperature / total number of days
Mean = -42 - 31 - 40 - 40 - 44 / 5
= -197 / 5
= - 39.4°F
Hence, the mean of the temperatures shown is -39.4°F.
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a strawberry field, you will find 4 plants per square foot. How many strawberry plants will you find in a square field that has a length of 208 ft (approx 1 acre )?
Answer: 832 plants
Step-by-step explanation:
If there are 4 plants for every 1 square ft the ratio is 4:1.
This tells us to multiply 208x4 giving us 832.
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3. 5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
The amount of interest Amy will pay over the 3 years is $105.
Simple interest is a method of calculating the interest amount on a loan or investment by multiplying the principal amount, the annual interest rate, and the time in years. In Amy's case, she borrowed $1,000 with an annual interest rate of 3.5% and will take 3 years to pay back the loan.
To calculate the interest Amy will pay, use the formula: Interest = Principal x Rate x Time
Interest = $1,000 x 0.035 (3.5% as a decimal) x 3 years
Interest = $1,000 x 0.035 x 3 = $105
Amy will pay $105 in interest over the 3 years.
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HURRY PLEASE!!!!
The number of bacteria in a culture quadruples every hour. There were
65,536 bacteria in the culture at 8:00 A. M. The expression 65,536 4h models
the number of bacteria in the culture h hours after 8:00 A. M.
a. What is the value of the expression for h= -4?
b. What does the value of the expression in part (a) represent
The value of the expression 65,536 x 4h for h = -4 is 256. The value represents the number of bacteria in the culture 4 hours before 8:00 A.M.
To find the value of the expression for h = -4, we substitute -4 for h in the expression [tex]65536*4^{h}[/tex]. This gives us
65536*4⁻⁴
To simplify this, we need to evaluate the exponent first. Remember that a negative exponent means we take the reciprocal of the base raised to the positive version of the exponent. So 4⁻⁴ is the same as 1/(4⁴), or 1/256.
Substituting that back into the expression, we get
65536*(1/256) = 256
So the value of the expression for h = -4 is 256.
The value of the expression in part (a) represents the number of bacteria in the culture 4 hours before 8:00 A.M. Since h is negative, we are looking at a time before 8:00 A.M. Specifically, h = -4 means we are looking at 4 hours before 8:00 A.M., or 4:00 A.M.
So the expression 65536*4⁻⁴ tells us how many bacteria were in the culture at 4:00 A.M., assuming the bacteria quadrupled every hour from that point until 8:00 A.M.
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Benjamin went shopping for a new phone
because of a sale. The price on the tag was
$28, but Benjamin paid $15. 40 before tax.
Find the percent discount
The percent discount on the phone because of a sale is 45%.
To find the percent discount, we need to calculate the difference between the original price and the discounted price, and then express that difference as a percentage of the original price.
First, let's find the difference between the two prices: $28 - $15.40 = $12.60. This means that Benjamin saved $12.60 on the phone.
Now, let's find the percent discount. We can do this by dividing the savings by the original price, and then multiplying the result by 100: ($12.60 / $28) * 100 = 45%.
So, Benjamin received a 45% discount on the phone before tax. This calculation shows that the sale allowed him to save a significant amount on his purchase. It's important to compare original and discounted prices to determine if a sale provides good value.
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Help with problem in photo
Answer:
(x-6)²+(y+3)²=17²
Step-by-step explanation:
The equation of a circle with center (a,b) and radius r is given by the formula:
(x - a)² + (y - b)² = r²
In this case, the center of the circle is (6,-3), and it passes through the point (-9,5). To find the radius of the circle, we need to calculate the distance between the center and the point on the circle. Using the distance formula, we get:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-9 - 6)² + (5 - (-3))²]
= √[225 + 64]
= √289
= 17
So, the radius of the circle is 17. Now we can plug in the values for the center and radius into the equation of a circle:
(x - 6)² + (y + 3)² = 17²
A circle in the xy-coordinate plane has the equation
�
2
+
�
2
+
6
�
−
4
=
0
x
2
+y
2
+6y−4=0 . If the equation of the circle in written in the form
�
2
+
(
�
+
�
)
2
=
�
x
2
+(y+k)
2
=c , where k and c are constants, what is the value of k?
Answer:
Given the equation of the circle in the xy-coordinate plane as x^2 + y^2 + 6x - 4 = 0, we need to rewrite it in the form (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius.
Completing the square for x^2 + 6x, we get (x+3)^2 - 9. Thus, the equation becomes (x+3)^2 + y^2 - 9 = 4. Rearranging, we get (x+3)^2 + y^2 = 13.
Comparing with the required form, we get (x-h)^2 + (y-k)^2 = r^2, where h = -3, k = 0 and r^2 = 13. Thus, the value of k is 0.
Describe and correct the error in finding the circumference of ⊙C
Step-by-step explanation:
C= 2πr
Given,
Diameter= 9
so, radius = 9÷2 = 4.5
C= 2 x π x 4.5
= 28.3 (3.s.f)
The table shows the amount of money raised during a car wash for charity.
Number of Cars Washed Money Raised
3 $43.50
13 $279.50
18 $405.00
Which statement is true?
A. The group raised $14.50 per car.
B. The group raised $21.50 per car.
C. The group raised $22.50 per car.
D. The relationship is not a direct proportion.
Answer:
The correct answer is D. The relationship is not a direct proportion.
We can see that the money raised is not directly proportional to the number of cars washed. For example, when the number of cars washed is doubled from 3 to 13, the money raised is not doubled from $43.50 to $87.00. Instead, it is increased by a factor of 6.5, from $43.50 to $279.50. Similarly, when the number of cars washed is increased by 5 from 13 to 18, the money raised is increased by a factor of 1.4, from $279.50 to $405.00.
This suggests that the amount of money raised is not simply a linear function of the number of cars washed. Instead, it is likely a more complex function that takes into account other factors, such as the time of day, the weather, and the location of the car wash.:
What is the volume of the rectangular prism?a prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.16 in.322 and one-half in.3200 in.3 212 and one-half in.3
The volume of the rectangular prism is 200 in³.
The volume of a rectangular prism is found by multiplying its length, width, and height. In this case, the prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches. To calculate the volume, you would use the following formula:
Volume = Length × Width × Height
Now, plug in the given dimensions:
Volume = 8 in × 2 in × 12.5 in
Perform the calculations:
Volume = 16 in² × 12.5 in
Volume = 200 in³
So, the rectangular prism has a volume of 200 cubic inches. This means that the space occupied by the prism is equal to 200 cubic inches. The other options provided, such as 16 in³, 22 and one-half in³, and 212 and one-half in³, are not correct because they do not represent the product of the length, width, and height of the given prism. In conclusion, the correct answer for the volume of this rectangular prism is 200 in³.
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Amanda wants to add 6732 and 4975 how can Amanda use mental math to add the numbers is Amanda answer correct explain
she can add each number one by one , and whenever she needs to carry numbers over. She can add them to the already existing numbers. she cna check with a calculator
The following data points represent the number of holes
that moths ate in each of grandma marion's dresses.
7,8,8, 5, 7,8
using this data, create a frequency table.
number of holes
number of dresses
5
6
7
8
A frequency table was created using data points representing the number of holes in each of Grandma Marion's dresses. The table shows the number of dresses with 5, 7, and 8 holes, respectively.
To create a frequency table for the given data, first, the unique values in the data set are identified, which are 5, 7, and 8. Then, the number of occurrences of each unique value is counted, resulting in the frequencies 1 for 5, 2 for 7, and 3 for 8.
Count the frequency of each data point
5: 1 dress
7: 2 dresses
8: 3 dresses
Finally, these values are organized into a table with two columns, one for the unique values and another for their corresponding frequencies. The resulting frequency table shows the number of dresses with each number of holes eaten by moths.
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Suppose a homing pigeon is released on an island at point C, which is 9 mi directly out in the water from a point B on shore, Point B is 20 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.29 times the rate over land. Toward what points downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? Point S ismiles away from point A. (Type an integer or decimal rounded to three decimal places as needed.)
The pigeon should fly directly from point C to point B, then fly along the shoreline to a point 10.387 miles away from point A (rounded to three decimal places). This can be found using the principle of minimizing the total distance traveled, taking into account the different energy rates over water and land.
To minimize the total energy required for the homing pigeon to get to its home loft at Point A, we need to find the optimal point downshore, Point S, to fly to. Using the given information, we can set up a function for the total energy.
Let x be the distance from Point A to Point S. Then, the pigeon will fly x miles over land and the remaining distance, 20-x miles, downshore from Point B to Point S. The distance from Point C to Point S can be found using the Pythagorean theorem:
CS = sqrt((20-x)^2 + 9^2)
Since the pigeon uses energy at a rate 1.29 times over water compared to land, we can write the total energy function as:
E(x) = x + 1.29 * CS
Now we need to minimize this function. To do so, we can take the derivative of E(x) with respect to x and set it equal to zero:
dE(x)/dx = 0
By solving this equation for x, we will find the optimal distance downshore from Point A to Point S. Once you have the value of x, you can say that Point S is x miles away from Point A (rounded to three decimal places, as needed).
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Felipe has several 2 liter bottles of lemonade. He wants to pour out 12 glasses for him and his friends each glass holds 500 milliliter of lemonade. How many two liter bottles will he need for all 12 glasses
Felipe needs a total of 6 liters of lemonade for all 12 glasses. Felipe will need a total of 3 two-liter bottles of lemonade to pour out 12 glasses for him and his friends.
Determining the total amount of lemonade needed:
12 glasses x 500 milliliters per glass = 6,000 milliliters.
Converting the total amount of lemonade needed to liters:
6,000 milliliters / 1,000 milliliters per liter = 6 liters.
Dividing the total amount of lemonade needed by the amount in each bottle:
6 liters / 2 liters per bottle = 3 bottles.
Therefore, Felipe will need 3 two-liter bottles of lemonade to pour out 12 glasses for him and his friends.
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There are 39 students in a class 22 offer maths,14 offer physics,and 16 offer biology if 5 offer both biology and math 7 offer at least one of the subject where every student offer at least one of the subjects. Find
Where every student offer at least one of the subjects, there are 4 students who offer all three subjects.
To find the number of students who offer only one subject, we can use the formula:
number of students offering only one subject = total number of students offering the subject - number of students offering both subjects
For math, there are 22 students offering math and 5 offering both math and biology, so the number of students offering math only is:
22 - 5 = 17
Similarly, for physics and biology, the numbers of students offering the subjects only are:
14 - 7 = 7 (physics)
16 - 5 = 11 (biology)
To find the number of students offering all three subjects, we can use the formula:
number of students offering all three subjects = total number of students offering at least one subject - number of students offering only one subject in each subject + number of students offering no subject
We know that there are 7 students offering at least one subject. To find the number of students offering no subject, we can subtract this from the total number of students:
39 - 7 = 32
Now we can plug in the numbers:
number of students offering all three subjects = 7 - 17 - 7 - 11 + 32
= 4
Therefore, there are 4 students who offer all three subjects.
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Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use technology to evaluate or approximate the integral. y = -x² -5 on [-1,2]
To find the arc length of the curve y = -x² -5 on the interval [-1,2], we use the formula to evaluate:
L = ∫√(1 + (dy/dx)²) dx
where dy/dx is the derivative of y with respect to x.
First, we find dy/dx:
dy/dx = -2x
Next, we substitute dy/dx into the formula and simplify:
L = ∫√(1 + (-2x)²) dx
L = ∫√(1 + 4x²) dx
To evaluate this integral, we can use a trigonometric substitution. Let x = (1/2)tanθ, then dx = (1/2)sec²θ dθ. Substituting, we get:
L = ∫√(1 + 4(1/2)²tan²θ)(1/2)sec²θ dθ
L = (1/2)∫sec³θ dθ
To integrate sec³θ, we use integration by parts:
u = secθ, du/dθ = secθ tanθ
dv/dθ = sec²θ, v = tanθ
∫sec³θ dθ = secθ tanθ - ∫tan²θ secθ dθ
= secθ tanθ - ∫secθ dθ + ∫sec³θ dθ
Rearranging, we get:
2∫sec³θ dθ = secθ tanθ + ln|secθ + tanθ|
Therefore:
L = (1/2)(secθ tanθ + ln|secθ + tanθ|) + C
To evaluate L on the interval [-1,2], we need to find θ when x = -1 and x = 2. Using the substitution x = (1/2)tanθ:
When x = -1, θ = -π/4
When x = 2, θ = π/3
Substituting these values into the equation for L and simplifying, we get:
L = (1/2)(2√2 + ln(3 + 2√3) + π/4)
Therefore, the integral that gives the arc length of the curve y = -x² -5 on the interval [-1,2] is:
L = (1/2)(2√2 + ln(3 + 2√3) + π/4)
Note: If technology is used to evaluate or approximate the integral, the answer may differ slightly due to rounding errors.
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2n-1/3=n+2/2 please help me
[tex] \sf \longrightarrow \: \frac{2n - 1}{3} = \frac{n + 2}{2} \\ [/tex]
[tex] \sf \longrightarrow \: 2( 2n - 1) = 3(n + 2) \\ [/tex]
[tex] \sf \longrightarrow \: 4n - 2 = 3n +6 \\ [/tex]
[tex] \sf \longrightarrow \: 4n = 3n +6 + 2\\ [/tex]
[tex] \sf \longrightarrow \: 4n - 3n= 6 + 2\\ [/tex]
[tex] \sf \longrightarrow \: 1n= 6 + 2\\ [/tex]
[tex] \sf \longrightarrow \: n= 8\\ [/tex]
[tex] \longrightarrow { \underline{ \overline{ \boxed{ \sf{\: \: \: n= 8 \: \: \: }}}}} \: \: \bigstar\\ [/tex]
You are at the beach with your friends. You have brought some supplies to make sand castles. These supplies include a pail that has a base with a circumference of 87 inches, is 12 inches tall, and has an opening on top that is twice the diameter of the base. You also have a plastic pyramid mold that has a square base with an edge that measures 6 inches and is 7 inches tall, and an empty soup can with a diameter of 5. 25 inches and is 6. 5 inches tall
The opening of the pail has a diameter of approximately 55.4 inches (since it's twice the diameter of the base).
Based on the information you provided, it sounds like you have some great supplies for making sand castles at the beach with your friends.
Firstly, let's take a look at the pail. You mentioned that it has a base with a circumference of 87 inches, which means that the diameter of the base is approximately 27.7 inches (since circumference = pi x diameter). The pail is also 12 inches tall and has an opening on top that is twice the diameter of the base. Therefore, the opening has a diameter of approximately 55.4 inches (since it's twice the diameter of the base). With these measurements, you can use the pail to make some pretty big sand castles!
Next, you mentioned a plastic pyramid mold that has a square base with an edge that measures 6 inches and is 7 inches tall. This mold should be perfect for making pyramid-shaped sand castles. Just fill it with sand, pack it down, and carefully remove the mold to reveal your pyramid!
Finally, you mentioned an empty soup can with a diameter of 5.25 inches and is 6.5 inches tall. This can could be used to make cylindrical shapes in your sand castles. Simply pack sand around the can, press down firmly, and carefully remove the can to reveal your cylinder.
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Curtis loves Pokémon! He went to school on Thursday and traded a bunch of cards to get new ones. He saw Dino and traded 3 of his cards for one of Dino's. Then a girl he liked, Tippi, wanted to trade cards. He was really nice to her because he liked her, so he traded 5 of his cards for 2 of hers. He then put his cards away. When he got home he noticed that 10 of his cards were missing. He was so upset that his mom bought him another pack of 12 cards. He hid half of his cards at home and took the rest to school the next day. He traded ¼ of the cards he brought to school to Dino again and got back 3 of Dino's cards. Curtis now has 9 cards at school. How many cards did he start with? How many cards total does he have now?
Curtis started with 84 cards and now has 12 cards at home and 9 cards at school, for a total of 21 cards.
How to find cards?To find how many card ,We see Curtis has 9 cards at school after trading with Dino again, which means he had 12 cards before the trade.
Before his mom bought him another pack of 12 cards, he had 10 missing, so he must have had 24 cards in total (12 + 12).
He hid half of his cards at home, so he has 12 cards at home.
He traded ¼ of the cards he brought to school to Dino and got back 3 of Dino's cards. Let's call the number of cards he brought to school "x".
So, he traded x/4 cards to Dino, and got back 3 cards, which means he now has (x/4) - 3 cards.
We know that he now has 9 cards at school, so we can set up an equation:
(x/4) - 3 = 9
Solving for x, we get:
x/4 = 12
x = 48
So, Curtis brought 48 cards to school, which means he started with 24 + 12 + 48 = 84 cards in total.
Therefore, Curtis started with 84 cards and now has 12 cards at home and 9 cards at school, for a total of 21 cards.
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Add the polynomials. (5x3+x)+(3x3+8) enter the answer in the box, in standard form (highest exponent to lowest).
The sum of the polynomials (5x³ + x) + (3x³ + 8) is 8x³ + x + 8
(5x³ + x) + (3x³ + 8) can be simplified by adding the coefficients of the like terms. The like terms are 5x³ and 3x³, which can be combined to give 8x³. The single terms are x and 8, which can be combined to give 8 + x. Therefore, the polynomials add up to
8x³ + x + 8
In standard form (highest exponent to lowest), the answer is:
8x³ + x + 8
Therefore, the sum of the polynomials (5x³ + x) + (3x³ + 8) is 8x³ + x + 8 in standard form (highest exponent to lowest)
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Jennifer had 7/8 of her pan of macoroni and chese left after supper. The next day she split what was left evenly between her five kids. What fraction of the total pan did each of them get
each of Jennifer's five kids received 1/40 of the total pan of macaroni and cheese.
What is equivalent ratio?
The concept of a ratio in mathematics is the divisional comparison of two quantities, the antecedent and consequent. As an illustration, each ingredient must be added according to a ratio during cooking. So, we may argue that a ratio is employed to represent one quantity as a portion of another. The ratio can be written as a fraction as well. If the ratio a:b is a fraction, its form is a/b. As a result, it is simple to compare two or more equivalent ratios expressed as equivalent fractions.
If Jennifer had 7/8 of her pan of macaroni and cheese left after supper, this means she had 1 - 7/8 = 1/8 of the pan remaining.
To split the remaining macaroni and cheese evenly between her five kids, we need to divide 1/8 by 5.
1/8 divided by 5 can be written as (1/8) ÷ 5 = (1/8) x (1/5) = 1/40.
Therefore, each of Jennifer's five kids received 1/40 of the total pan of macaroni and cheese.
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A large moving box has a volume of 45 cubic meters. The width of the box is 1. 5 meters. The length and height of the box are each whole number measurements that are greater than 2 meters. What could be the dimensions of the box? Give TWO possible answers
If A large moving box has a volume of 45 cubic meters then two possible sets of dimensions for the box are: 1.5 m x 5 m x 9 m, and 1.5 m x 3 m x 15 m.
One possible way to approach this problem is to use trial and error. Therefore, two possible sets of dimensions for the box are 1.5 m x 5 m x 9 m, and 1.5 m x 3 m x 15 m.
We know that the volume of the box is 45 cubic meters and that the width is 1.5 meters. We want to find two whole numbers for the length and height that work.
We can start by listing the factors of 45: 1, 3, 5, 9, 15, and 45. We can then try each of these factors as the length or height, and see if the other dimension is a whole number greater than 2.
For example, if we try length = 5, then the height would need to be 9 to get a volume of 45. However, the width would be 1.5, which is already less than 2, so this doesn't work. These are the dimensions.
Trying again, if we try length = 9, then the height would need to be 5 to get a volume of 45. In this case, the width would be height = 5, which is greater than 2, so this is a possible answer.
Continuing, if we try length = 3, then the height would need to be 15 to get a volume of 45. This gives us a width of 1.5, which is less than 2, so this doesn't work.
Finally, if we try length = 15, then the height would need to be 3 to get a volume of 45. This gives us a width of height = 3, which is greater than 2, so this is another possible answer.
Therefore, two possible sets of dimensions for the box are: 1.5 m x 5 m x 9 m, and 1.5 m x 3 m x 15 m.
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Find the derivative of the given function.
y= (4x² – 9x) e⁻⁴
ˣy' = ... (Type an exact answer.)
The derivative of the given function is:
y' = (8x – 9) e⁻⁴ - 16x (4x - 9) e⁻⁴
Find the derivative?
To find the derivative of the given function y= (4x² – 9x) e⁻⁴, we need to use the product rule of differentiation. The formula for the product rule is:
(fg)' = f'g + fg'
Where f and g are two differentiable functions. Applying this formula, we get:
y' = (4x² – 9x)' e⁻⁴ + (4x² – 9x) (e⁻⁴)'
The first term on the right-hand side can be simplified using the power rule and the constant multiple rule of differentiation:
(4x² – 9x)' = 8x – 9
The second term on the right-hand side requires the chain rule of differentiation. Let u = -4x, then we have:
(e⁻⁴)' = (e^u)' = e^u (-4) = -4e⁻⁴x
Substituting these results back into the expression for y', we get:
y' = (8x – 9) e⁻⁴ + (4x² – 9x) (-4e⁻⁴x)
Simplifying this expression, we get:
y' = (8x – 9) e⁻⁴ - 16x (4x - 9) e⁻⁴
Therefore, the derivative of the given function is:
y' = (8x – 9) e⁻⁴ - 16x (4x - 9) e⁻⁴
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The surface area of the square pyramid is 84 square inches. The side length of the base is 6 what is the value of x
With the surface area of the square pyramid 84 square inches and side length of the base is 6, the value of x is 4 inches, by assuming x as the slant height of the square pyramid.
Assuming that x refers to the slant height of the square pyramid, we can use the formula for the surface area of a square pyramid to solve for x:
Surface area of a square pyramid = base area + (0.5 x perimeter of base x slant height)
Since the base of the square pyramid is a square with side length 6,
the base area is 6² = 36 square inches.
The perimeter of the base is 4 times the side length, so it is 4 x 6 = 24 inches.
Substituting these values into the formula and simplifying, we get:
84 = 36 + (0.5 x 24 x x)
84 - 36 = 12x
48 = 12x
x = 4
Therefore, the value of x, the slant height of the square pyramid, is 4 inches.
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The cost to produce x kilograms of whatchamacallits is given by the function C(x) = 50x + 1000 where Cix) is in hundreds of dollars. The revenue for the sale of x whatchamacallits is given by R(x) = 450x where R(x) is in hundreds of dollars. How many kilograms should be produced and sold to realize a maximum profit? What is that maximum profit?
The maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.
The maximum profit, in hundreds of dollars, will be $500.
To find the maximum profit, we need to first calculate the profit function P(x), which is the difference between the revenue and the cost functions:
P(x) = R(x) - C(x)
P(x) = 450x - (50x + 1000)
P(x) = 400x - 1000
To find the amount of kilograms that should be produced and sold to realize a maximum profit, we need to find the value of x that maximizes the profit function.
We can do this by taking the derivative of the profit function and setting it equal to zero:
P'(x) = 400
400 = 0
Since the derivative is a constant value, there is no critical point or inflection point. Therefore, the profit function is increasing at a constant rate, and the maximum profit will be achieved at the highest possible value of x.
To find that value, we can set the profit function equal to zero and solve for x:
P(x) = 400x - 1000 = 0
400x = 1000
x = 2.5
Therefore, the maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.
To find the maximum profit itself, we can substitute this value of x into the profit function:
P(2.5) = 400(2.5) - 1000 = 500
So the maximum profit, in hundreds of dollars, will be $500.
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You saved $3 during Week 1, $6 during Week 2, $12 during Week 3, and $21 during Week 4. If the pattern continues, how much money will you save during Weeks 8 and 9 combined?
A prism 5 feet tall whose base is a right triangle with leg lengths 6 feet and 7 feet
what is the volume in cubic feet?
The volume of the prism is 21 * 5 = 105 cubic feet.
To find the volume of a prism with a triangular base, you need to follow these steps:
1. Determine the area of the triangular base: Since the base is a right triangle with leg lengths of 6 feet and 7 feet, you can use the formula for the area of a right triangle: (1/2) * base * height. In this case, the area would be (1/2) * 6 * 7 = 21 square feet.
2. Multiply the area of the triangular base by the height of the prism: The prism is 5 feet tall, so the volume can be calculated by multiplying the area of the base (21 square feet) by the height (5 feet).
Thus, the volume of the prism is 21 * 5 = 105 cubic feet.
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PLSSS HELP.
Apples are on sale at a grocery store for per pound. Casey bought apples and used a coupon for off her purchase. Her total was. How many pounds of apples did Casey buy?
Part A: Write an equation that represents the problem. Define any variables.
Part B: Solve the equation from Part A. Show all work.
Part C: Explain what the solution to the equation represents
A: An equation that represents the problem is 1.75x - 0.45 = 4.45. B: Solving the equation from Part A gives x = 2.8. C: The solution to the equation represents the number of pounds of apple bought by Casey.
Part A: Write an equation that represents the problem. Define any variables.
Let x represent the number of pounds of apples Casey bought. The cost of apples is $1.75 per pound, so the total cost before using the coupon would be 1.75x. After using the $0.45 coupon, her total was $4.45. The equation representing this situation is:
1.75x - 0.45 = 4.45
Part B: Solve the equation from Part A.
Now, let's solve the equation:
1.75x - 0.45 = 4.45
Add 0.45 to both sides:
1.75x = 4.90
Now, divide both sides by 1.75:
x = 4.90 / 1.75
x = 2.8
Part C: Explain what the solution to the equation represents
The solution, x = 2.8, represents that Casey bought 2.8 pounds of apples at the grocery store.
Note: The question is incomplete. The complete question probably is: Apples are on sale at a grocery store for $1.75 per pound. Casey bought apples and used a coupon for $0.45 off her purchase. Her total was $4.45. How many pounds of apples did Casey buy? Part A: Write an equation that represents the problem. Define any variables. Part B: Solve the equation from Part A. Show all work. Part C: Explain what the solution to the equation represents.
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The cookies raina wants comes in packs of 6 she needs 23 of these for a party how many packs should she buy
Based on mathematical operations, since the cookies Raina wants for a party comes in packs of 6 and she needs 23 of these for the party, she should buy 4 packs.
What are the mathematical operations?The basic mathematical operations include addition, subtraction, multiplication, and division.
In this situation, we can determine the number of packs required by finding a number that when multiplied by 6 will be close to 23.
We know that 6 x 4 equals 24, which is the closest value to 23.
The number of cookies in each pack = 6
The total number of cookies Raina needs = 23
The number of packs to buy = 4 (6 x 4 = 24)
Thus, Raina needs to buy 4 packs of the cookies to satisfy her requirement for 23 pieces.
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Subtract.3 1/3−5enter your answer as a simplified mixed number by filling in the boxes.
The result of subtracting 5 from 3 1/3 is -2 2/3.
To subtract 5 from 3 1/3, we need to first convert the mixed number to an improper fraction. This can be done by multiplying the whole number (3) by the denominator of the fraction (3), and adding the numerator (1) to get 10/3. Therefore, 3 1/3 is equivalent to 10/3.
Next, we can subtract 5 from 10/3 by finding a common denominator of 3, which gives 15/3 - 10/3 = 5/3. This is the result in improper fraction form.
To convert back to a mixed number, we can divide the numerator (5) by the denominator (3), which gives a quotient of 1 and a remainder of 2. Therefore, the answer is -2 2/3.
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Help me please first correct answer get branliest and please no essay
Answer:
6cm
Step-by-step explanation:
all the sides of a square are identical so we can assume the missing side as x
since all four sides are the same and the perimeter is the sum of all sides, we can write
x+x+x+x=24cm
4x=24cm
x=24/4
x=6cm
