Answer:
w≤9
Step-by-step explanation:
8w ≤ 72
Divide by 8 on both sides
w ≤ 9
For graph, draw a number line and label a point as 9. Draw a solid line facing to the left and having a closed point at 9. The line should not extend past 9.
what is – 7n + –3 – 6n + 3 + 5 is simpified
Answer:
-13n + 5
Step-by-step explanation:
Give:
– 7n + –3 – 6n + 3 + 5
To Find:
simplify
Explanation:
– 7n + –3 – 6n + 3 + 5
= (-7n - 6n) + (-3 + 3 + 5)
= - 13n + 0 + 5
= -13n + 5
Final Answer:
-13n + 5
a math teacher gave her class two test 70% of the class passed both tests and 80% of the class passed the first test what percent of those who passed the first test also passed the second test this statement is an example of supplementary probability true or false
87.5% of those who passed the first test also passed the second test.
The given statement in the question is an example of conditional probability rather than supplementary probability. Therefore, the statement is false.
We are given the following information:
- 70% of the class passed both tests.
- 80% of the class passed the first test.
We want to find the percentage of those who passed the first test and also passed the second test.
To do this, we will use the concept of conditional probability.
Let A be the event of passing the first test, and B be the event of passing the second test.
We are asked to find the conditional probability P(B|A), which is the probability of passing the second test given that the student has passed the first test.
Using the formula for conditional probability, we have:
P(B|A) = P(A ∩ B) / P(A)
We know that P(A ∩ B) = 0.7 (since 70% of the class passed both tests) and P(A) = 0.8 (since 80% of the class passed the first test).
Now, we can calculate P(B|A):
P(B|A) = 0.7 / 0.8 = 0.875.
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A small country emits 80,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 2.5% per year for the next 7 years. In the first year of the agreement, the country will keep its emissions at 80,000 kilotons and the emissions will decrease 2.5% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 7 year period, to the nearest whole number?
Using an exponential function and integration, it is found that over the entire 11 year period, the country will emit 763,968 kilotons of carbon dioxide.
Exponential function:
A decaying exponential function is modeled by:
⇒ A (t) = A (0) (1 - r)ⁿ
In which:
A(0) is the initial value.
r is the decay rate, as a decimal.
In this problem:
In the first year, the country emits 80,000 kilotons, hence . A (0) = 8000
Emissions will decrease 2.5% in each successive year, hence r = 0.026
Then, the equation for the amount emitted each year is:
⇒ A (t) = A (0) (1 - r)ⁿ
⇒ A (t) = 80000 (1 - 0.025)ⁿ
⇒ A (t) = 80,000 (0.975)ⁿ
The total amount emitted over the course of the 11 year period is:
T = ∫ 0 to 11 ( A (t) ) dt
Hence:
T = ∫ 0 to 11 ( 80000 (0.974)ⁿ ) dt
Applying the Fundamental Theorem of Calculus:
T = 763,968 kilotons
Hence, Over the entire 11 year period, the country will emit 763,968 kilotons of carbon dioxide.
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Can you guys help me out?
Step-by-step explanation:
For f(3) 3 is >= 2 so you use the second portion of the function :
f(3) = 5x+2 = 5(3) + 2 = 17
Plsss help meeee quick
Answer:
B
Step-by-step explanation:
Lateral surface contains B,C and D (because A and E are bases)
A (lateral surface area) = 70 + 70 + 56 = 196 cm^2
‼️HELP CUZ IM SO LOST PLEASE‼️
Using two column proof we have been able to show that AB ║ EC
by definition of alternate interior angles
How to use two column proof?A two-column proof is defined as a two-column table labeled with statements on the left-hand side and reasons on the right-hand side.
The two column proof of the given diagram is as follows:
Statement 1: ΔADE is an Isosceles Triangle
Reason 1: Given
Statement 2: ∠DEA ≅ ∠DAE
Reason 2: Properties of Isosceles Triangles
Statement 3: ∠ADE = 20°
Reason 3: Sum of angles in a triangle
Statement 4: ∠BAD ≅ ∠EDA
Reason 4: Congruent Angles
Statement 5: ∠BAD and ∠EDA are alternate angles
Reason 5: Alternate angles are congruent
Statement 6: AB ║ EC
Reason 6: Definition of alternate interior angles
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Use the Law of Sines. Find the measure x to the nearest tenth.
Answer:
Step-by-step explanation:
Law of sines states that the lengths of the sides of a triangle are proportional to the sines of the corresponding angles.
sinM/17 = sinx/10
sin M = .94551
.94551/17 = sin x /10
cross mulitply and then divide.
.954551 · 10/17 = sin x
9.4555/17 = .5562
sin inverse is 33.793 ° or rounded to 33.8°
A map shows the vertices of a campsite are (25,10), (25,-5), (-5,-5), and (-5,10). The vertices of your tent are (0,-3), (0,6), (10,6), and (10,-3). The coordinates are measured in feet. What percent of the campsite is not covered by your tent?
The percent of the area that is not covered is 80 percent
How to calculate the area that is not coveredIn mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².
area of tent
= (10 - 0) * (6 - (-3))
= 90
The area of the campsite would be:
(25 - (-5) x (10 - (-5))
= 450
Then the area would be 450 - 90
= 360
the percentage that is not covered by tent = 360 / 450 x 100
= 80 percent
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Lines and Angles
10) In the figure below BD is the perpendicular bisector of AC. Find the value of x.
3(2x-8)
4425
Enter your answer in the box.
x=
Since BD is the perpendicular bisector of AC, then AB = BC, which implies 2x - 8 = 5x - 17.
Solving for x, we have:
3(2x - 8) = 4425
6x - 24 = 4425
6x = 4451
x = 741.83
Rounding to the nearest whole number, we have x = 742.
Therefore, x = 742.
true or false ? is (b^9)^3 = b^27
It is true that the product of the index [tex](b^9)^3 = b^2^7[/tex]
What is indices?Indices track asset performance in finance and specify array elements in math and programming; their use varies by subject. Different methods refer to list, vector, or matrix elements. Power law of indices: larger number or letter must match.
This can be expressed mathematically as am+n.
Additionally, there are several Laws of Indices that provide rules for simplifying calculations or expressions involving powers of the same base.
The given question is true or false is [tex](b^9)^3[/tex]= [tex]b^27(b^9)^3[/tex] = [tex](b^9)^3 = b^2^7[/tex]
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Mrs. Hopkins gives her students a math quiz every 8 and a science quiz every 6 days. If she gives math and science quizzes today, how many days will it be before both quizzes are given on the same day again?
Therefore , the solution of the given problem of unitary method comes out to be once more administer maths and science quizzes on the same day.
Definition of a unitary method.The well-known minimalist approach, current variables, and any crucial elements from the initial Diocesan tailored query can all be used to accomplish the work. In response, you can be granted another chance to utilise the item. If not, important impacts on our understanding of algorithms will vanish.
Here,
List the multiples of each integer until we discover a common multiple as one method to determine the least common multiple:
=> 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are all multiples of 8.
=> 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60 are multiples of 6.
As an alternative, we can use the prime factorization technique to identify the smallest common multiple:
=> 8's prime factors are 2 x 2 x 2
=> 6's prime factors are 2 x 3
=> 2 x 2 x 2 x 3 = 24
We can see that 24 is the smallest common multiple once more, and in 24 days,
Mrs Hopkins will once more administer maths and science quizzes on the same day.
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Find the real or imaginary solutions of the following equation by factoring.
w³-512=0
Choose the correct answer below.
OA. -8,4+4√3i, 8-4√3i
OB. 64,- 64+8i, 64-8√3i
O C. -512, -4+4√3i, -8-4√3i
OD. 8, -4+4√3i, -4-4√3i
please help for this question
The single transformation that maps shape A to shape B is: Reflection about the line x = -2
What is the transformation rule?There are different ways of carrying out transformation of objects and they are:
Reflection whereby all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection
Rotation whereby all points are rotated about a point.
Dilation where the object is reduced or increased by a scale factor.
Translation where the object is moved from one point to another.
Looking at the given image, we can tell that this denotes a reflection because it is the exact same shape and looks like a mirror image which was reflected over the line x = -2
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PLEASE HURRY
Let u = - 2i + 5j v = 6i - j and w oplus=81 Find 3u - (5v - w)
Answer: ⬇️
Step-by-step explanation:
Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).
S = [10, 11, 13, 19, 21, 23, 29, 30]
A = The number is At least 21
B = the number is Between 12 and 25
O = number is Odd
L = number is a Less than 25
Which events are independent.
After considering all the given options we conclude that the number is atleast 21 and the less than 25, which is Option C.
It is given to us that two events are independent if they take place then one event does not trigger the probability of the other event.
Now if the taking place of a certain event triggers the other event then it is referred as dependent
For the given case, we have four events A, B, Q and L.
A = the state when the given number is At least 21
B = is the sate when the given number is Between 12 and 25
Q = is the sate when the given number is Odd
L = is the state when the given number is a Less than 25
It is clearly visible that events A and L are independent due to the number being at least 21, it doesn't affect whether it's less than 25 or not. So, events B and Q are independent because if we know that a number is between 12 and 25, it doesn't affect whether it's odd or not.
Hence, option C) A and L is correct.
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The complete question is
S = [10, 11, 13, 19, 21, 23, 29, 30]
A = The number is At least 21
B= the number is Between 12 and 25
Q = number is Odd
L= number is a Less than 25
Which events are independent.
Question options:
A) A and B
B) A and O
C) A and L
D) Band O
E) Land B
F) Land O
G) None of the 2 events are independent
If Charlie invested $1,000 in an account paying 10% compounded monthly, how much will be in the account at the end of 10 years?
Answer:
Compound Interest Formula: A = P (1 + R/100)^t
P = Principle ($1,000)R = Rate (10%)T = Time (10 years)A = 1000 (1 + 10/100)^10
A = $2593.74
Please mark my answer as Brainliest if you found it helpful.
PLEASE HELP ME QUICK!!!
Answer:
Option D. [tex]g(x)=5(0.8)^{x}+2[/tex]
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form [tex]y=a*b^x[/tex] has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form [tex]y=a*b^x[/tex] increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
Please HELPP!!!!! Angles !! Marking brainliest whoever awnsers
Answer: IN ORDER FROM TOP LEFT OVER
Step-by-step explanation:
1. Example
2. Already correct
3. 43
4. 82
5. Supplementary
6. 68
7. 33
8. Adjacent (could be wrong)
9. 51
10. 128
11. 54
12. Complimentary
13. Parallel
14. 29
15. 117
HOPE THIS HELPS. I MAY HAVE GOTTEN 1 OR 2 WRONG.
what is 45 x 6 i need help
Answer:
270
Step-by-step explanation:
I am showing my mental math, hope this helps you:
45 x 6 is the same as 4 x 6 = 10s place value and 5 x 6 = 1s place value:
4 x 6 = 24
5 x 6 = 30
Therefore, the answer is:
2 (4 + 3) 0
270
The value of the expression 45 x 6 is 270.
We have,
To calculate the product of 45 multiplied by 6, you can follow these steps:
- Start by multiplying the units digits of the two numbers: 5 x 6 = 30.
- Write down the units digit of the result, which is 0, and carry over the tens digit, which is 3.
- Multiply the tens digit of the first number by the second number: 4 x 6 = 24.
- Add the carried-over value from step 2 to this result: 24 + 3 = 27.
- Write down the tens digit of the result, which is 7, and carry over the hundreds digit, which is 2.
- Multiply the hundred digit of the first number by the second number: 4 x 6 = 24.
- Add the carried-over value from step 5 to this result: 24 + 2 = 26.
- Write down the hundred digit of the result, which is 6.
- Combine the hundreds, tens, and units digits together: 6, 7, 0.
- The final product of 45 multiplied by 6 is 270.
So, 45 x 6 = 270.
Thus,
The value of the expression 45 x 6 is 270.
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Rosie earns $25 for travel time plus $18 an hour working at her uncle’s shop. Write an expression that can be used to find the amount Rosie will earn for working, 7, hours.
Answer:
Earned = 25 + 18h
Earned = 151
Step-by-step explanation:
The amount earned is the travel time plus the amount per hour times the hours
Earned = 25 + 18h
She works 7 hours
Earned = 25 + 18*7
Earned = 25 + 126
Earned = 151
A swimming pool holds 450, 000 L
of water and has two drainage
pipes.
Pipe A, by itself, can drain the pool
in 150 minutes. Pipe B, by itself, can
drain the pool in 225 minutes.
If you turned on both pipes at the
same time, how many minutes
would it take to drain the pool?
Using a linear equation, the minutes it would take both pipes to drain the swimming pool that holds 450,000 liters is 90 minutes.
What is a linear equation?A linear equation is an equation of a straight line written in the form of y = mx +b, where m is the slope.
The quantity of water the swimming pool holds = 450,000 liters
The drainage time of Pipe A working alone = 150 minutes
Drainage rate of Pipe A = 3,000 liters per minute (450,000 ÷ 150)
The drainage time of Pipe B working alone = 225 minutes
Drainage rate of Pipe B = 2,000 liters per minute (450,000 ÷ 225)
The drainage rate of the combined pipes = 5,000 liters per minute (3,000 + 2,000)
Let the number of minutes for both pipes to drain the pool = x
Therefore, the linear equation is 5,000x = 450,000
x = 90 minutes (450,000 ÷ 5,000)
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A new television set was recently purchased for the common room in a Residence Hall for $451.50 including tax. If the tax rate is 5%, find the price of the television set before taxes.
Answer:
430
Step-by-step explanation:
Let's call the price of the television set before taxes "x".
The total cost including tax is $451.50, which is equal to x plus 5% of x (the tax). In other words:
x + 0.05x = $451.50
Simplifying the left side by factoring out x, we get:
1.05x = $451.50
Dividing both sides by 1.05, we get:
x = $430
Therefore, the price of the television set before taxes was $430.
Please help will mark Brainly
I know how to use the explicit formula to find a_1, but having a_n-1 being multiplied by 2 has thrown me for a loop. I am not sure how to fit it into the formula.
The first four elements of the sequence are:
a11 = 5350
a12 = 10702
a13 = 21406
a14 = 42814
How to calculate the sequenceStarting with a11 = 5350, we can use the recursive formula to find a12:
a12 = 2a11 + 2 = 25350 + 2 = 10702
a13 = 2a12 + 2 = 210702 + 2 = 21406
a14 = 2a13 + 2 = 221406 + 2 = 42814
Therefore, the first four elements of the sequence are:
a11 = 5350
a12 = 10702
a13 = 21406
a14 = 42814
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In each diagram, one square unit represents 10 square centimeters. Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Find the probability that
event A or B takes place.
The probability that event A or B takes place is P ( A ∪ B ) = 6/17
Given data ,
Let the probability that event A or B takes place is P ( A ∪ B )
Now , the probability of A is P ( A ) = 2/17
And , the probability of B is P ( B ) = 4/17
where P ( A ∩ B ) = 0
On simplifying the equation , we get
P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )
So , P ( A ∪ B ) = 2/17 + 4/17
P ( A ∪ B ) = 6/17
Hence , the probability is 6/17
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if my circular garden requires 2 cups of water per 10 square feet, how many cups of water do i need when the radius is 3 feet
Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two serving of blueberry pie provides 1290 calories
The caloric content for ice cream C is 250 calories while the caloric content for ice cream B is 270 calories.
How to determine the caloric contentTo determine the caloric content, we will assign algebraic notations to each of the dessert types.
1 Icecream + 2 Blueberry pie = 790 calories
3 icecream + 2 Blueberry pie = 1290 calories
Now the first equation will be subtracted from the second equation as follows:
2 icecream = 500 calories
So, 1 ice cream is 250 calories.
Also, since, 1 icecream serving equals 250 calories, 2 Blueberry pies = 790 - 250 = 540 calories, and 1 Blueberry pie equals 270 calories.
Complete question:
Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two servings of blueberry pie provides 1290 calories. Find the caloric content of each item.
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. Suppose that the following represents the graph of the function f(x).
N
a. (5 points) Determine the x intercepts and give a number line for the function
f(x). Are there any horizontal or vertical asymptotes?
b. (5 points) Give a number line for f'(x) and classify any local maxima or minima.
c. (5 points) Give a number line for f"(x) and list any points of inflection.
The x intercepts are (-2, 0), (2, 0) and (3, 0) and it has vertical asymptotes at x = 4 and x = -4
Determining the x interceptsThe x intercepts are the points where the graph intersect with x-axis
In this case, the points are (-2, 0), (2, 0) and (3, 0)
So, the x intercepts are (-2, 0), (2, 0) and (3, 0)
Are there any horizontal or vertical asymptotes?The graph has no horizontal asymptotes
However, it has vertical asymptotes at x = 4 and x = -4
The local maxima or minimaFrom the graph, the local maxima or minima are
Minima (3, -1) and Maxima (-1, 12)
The point of inflectionThis is the points where the graph changes it concave-ness
From the graph, we have the point to be (1, 13/2)
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Find the exact value of each of the remaining trigonometric functions of θ.
tan θ= -3/5, sec θ>0.
If given trigonometric functions of θ are tan θ= -3/5, sec θ>0, the exact value of sin θ is 3/√(34).
To find the value of sin θ, we can use the Pythagorean identity: sin²θ + cos²θ = 1.
First, we need to find the value of cos θ. We know that sec θ = 1/cos θ and sec θ > 0, which means that cos θ > 0. Therefore, we can use the identity: tan²θ + 1 = sec²θ to find the value of cos θ.
tan θ = -3/5
tan²θ = 9/25
sec²θ = tan²θ + 1 = 34/25
cos²θ = 1/sec²θ = 25/34
cos θ = √(25/34) = 5/√(34)
Now, we can use the Pythagorean identity to find sin θ:
sin²θ + cos²θ = 1
sin²θ = 1 - cos²θ
sin²θ = 1 - 25/34
sin²θ = 9/34
sin θ = √(9/34) = 3/√(34)
In trigonometry, the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) are used to relate the angles of a triangle to its sides. The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In other words, sin θ = opposite/hypotenuse.
Knowing the value of sin θ is important because it allows us to calculate the values of the other trigonometric functions. For example, cosine is defined as the ratio of the length of the adjacent side to the length of the hypotenuse, so we needed to find the value of cos θ to calculate sin θ.
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