Answer:
5
Step-by-step explanation:
Count the digits.
find the measure of major arc RUT. shiw your work please.
Answer:
well not sure but I think it is 8° or 17.8°
Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm
Answer:
V ≈ 500 cm³
Step-by-step explanation:
Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)
π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cmSubstitute the given values into the formula:
⇒ V = ⁴⁄₃πr³
⇒ V ≈ (⁴⁄₃)(3)(5)³
⇒ V ≈ (⁴⁄₃)(3)(125)
⇒ V ≈ (⁴⁄₃)(375)
⇒ V ≈ 500 cm³
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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]
Find: [tex]\textsf{Determine the volume}[/tex]
Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.
Determine the radius
[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]Plug in the values
[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]Simplify the expression
[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.
Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"
PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.
Use the Sine tool to graph the function.
The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.
(please include a graph when you answer)
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
What is sin function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
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What is -8/15 of 21/12
Answer:
-14/15
Step-by-step explanation:
"of" means multiply, thus:
-8/15 * 21/12
-8 * 21 / 15 * 12
-2 * 7 / 15
-14/15
Answer:
-14/15
Step-by-step explanation:
So first you need to get rid of the negative sign. Don't worry you will add it back later!
So, you will do
-8/15×21/12
Once you cross cancel, you will have
-2/5x7/3
That would be equivalent to
-14/15
That's your answer!
Hope this helped :)
write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food
[tex]t = p*k[/tex] is the formula that will help eric determine how much the potatoes he buys will cost in bulk.
What is Advance algebraic Equations?An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
According to the question,
In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.
Since we are given specific variables for each piece of information needed for the variable.
All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.
[tex]t = p*k[/tex]
By using this formula lets Eric calculate the total price of an order of fruit or vegetables.
Therefore,
A formula that will help eric determine how much the potatoes he buys will cost in bulk is [tex]t = p*k[/tex]
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Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0
Answer:
y= 1/4 x-62+1
Step-by-step explanation:
mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta
The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of the expression will be given as:-
r³ = r(x² + y²)
( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)
216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]
Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
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what will be the exponent of ten in quotient
Answer: 8
Step-by-step explanation:
We know that:
[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]
Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?
Answer:
Its 250 the answer which i got.
Answer:
After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276
Step-by-step explanation:
Which expression is equivalent to √48x5, if x>0?
OA. 12x³√3x
OB. 4x³√3
OC. 4x²√3x
D. 12x²√x
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}}\sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
can someone please help meee
Answer:
the y intercept is (0,2)
slope = -4
Step-by-step explanation:
from the graph the y intercept is (0,2) and we can consider it as p1
p2 (2,-6)
slope = y2-y1 / x2-x1
= -6 - 2/ 2 -0 = -8/2 = -4
which of the followiing is not a function
Answer:
i think B i don't know but i only guess
CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!
Answer:0
Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0
a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
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Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
Follow the steps to find the
area of the shaded region.
Now, use the formula
below to calculate the
area of the triangle.
Triangle Area = bh
h = 10.0708 cm
Triangle Area = [?] cm²
Round to four decimal places.
14 cm
hi
46°
14 cm
The area of the triangle is given as: ≈ 70.50cm²
What is the explanation to the above solution?Area of shaded region = Area of the sector less Area of the Triangle.
This is represented as:
π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Hence, the area of the triangle is (1/2) x 14 x 10.0708
= 70.4956 cm²
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For every pound a company spends on advertising, it spends £0.80 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
The ratio of amount spent on advertising to the amount spent on its website in its simplest form is 0.5 : 0.4
RatioAmount spent on advertising = £1Amount spent on website = £0.80Ratio of amount spent on advertising to the amount spent on its website
= £1 : £0.80
= 1 / 0.80
= 0.5 / 0.4
= 0.5 : 0.4
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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.
Answer:
Base = 24 cm or 10cm
Step-by-step explanation:
REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²
Using the formulas
[tex]A=\frac{bh_b}{2}[/tex]
[tex]h_b=\sqrt{a^2-\frac{b^2}{4} }[/tex]
There are 2 solutions for [tex]b[/tex]
[tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }[/tex] ≈ [tex]10cm[/tex][tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm[/tex]
Less complex:
Area of a triangle = 1/2 * b * h = 60
=> h = 120/b
In right triangle ABD
13² = h² + b² /4 ( by Pythagoras law)
=>169 = 120²/b² + b²/4
=>676 b² = 57600 + b^4
=> b^4 - 676 b² + 57600 = 0
=> b² = 676 +- √(676² - 4*57600) / 2
=> b²= 676 +- √(226576) /2
=> b² = (676 +- 476 )/2
=> b² = 1152/2 , 200 /2
=> b² = 576 , 100
=> b = 24, 10
So, Base = 24 cm or 10cm
A shopkeeper buys a stove for $860 what is the selling price if he makes the profit of 15%
Answer:
$989
Step-by-step explanation:
860*0.15 is = 129
129 + 860 is 989
A bike store rents bikes for $9 an hour in addition to a helmet rental fee of $15. If
Emmanuel paid $51, for how many hours did he rent the bike?
Answer:
4 hours
Step-by-step explanation:
First we need to subtract the one pay fee (the helmet rental fee, $15)
So 51 - 15 = 36
Then we need to divide 36 by the amount of money it costs for each hours to find how many hours he rented the bike
So 39/9 = 4
1. What is the sum? 7/2+(-3/5)
4I3
10
21
10
10
Answer:
29/10
Step-by-step explanation:
7/2+(-3/5)
7/2-3/5
35/10-6/10
29/10
In the number line below, JK is 5, LM is 6, and KL is 4. What is the length of the line segment formed by the midpoint of JK and midpoint of LM?
Answer:
By splitting the line segments into equal parts, we find that the length of the line segment formed by joining the mid-points is 5.5 units.
Step-by-step explanation:
Given lengths show that the length of JK is 5 units, KL is 4 units and LM is 6 units. Let the midpoint of JK be A. This means JK is splited into two equal parts JA and AK. Since the lengths of both the segments are same, it will be 5/2 = 2.5 units.
Now, let the midpoint of LM be B. So, we have two equal line segments LB and BM of length 6/2 = 3 units.
So, the length of the line segment formed by joining A and B will be 2.5 + 3 = 5.5 units
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Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?
Answer:
The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.
y-intercept: (0,50)
Slope: 45
Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5
child's meal for her brother. Kara has $29. How much can she spend on each
rice bowl if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
Answer:
4x+5 ≤29. Answer = $6 or less
Step-by-step explanation:
1. x= the price of the rice bowl
2. 4x= price of 4 rice bowls
3. So we get 4x+5(The total amount of their purchase)
4. Kara has only $29 so she can spend that much
5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.
6. The answers include $6,$5,$4,$3,$2, and $1 or less.
A study of all 33,043 infants with a heart rhythm abnormality in Italy was conducted to find a link between heart rhythm abnormality and sudden infant death syndrome. (Source: New England Journal of Medicine)
What is known about the 33,043 infants?
They are the population.
They are the variance.
They are a sample.
They are the stratified random sample.
Using sampling concepts, it is found that the 33,043 infants represent the sample.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, all infants represent the population, while 33,043 infants represent the sample.
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what is the measure of ∅?
A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians
Answer:
C. 4 radians
Step-by-step explanation:
[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]
Ctrl Angle = ∅
∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]
in radians:
∅ = [tex]\frac{720}{180} =4[/tex]
Hope this helps
Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4
The value of y will be -4 when the value of x is 4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation of the given condition will be given as:-
y = [tex]\dfrac{k }{x}[/tex]
At y = 8 when x = -2 so
8 = [tex]\dfrac{k}{-2}[/tex]
k = -16
The value of y at x = 4 will be calculated as:-
y = [tex]\dfrac{-16}{4}=-4[/tex]
Therefore the value of y will be -4 when the value of x is 4.
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which of these tables represents a function
Answer:
A: Table W.
Step-by-step explanation:
A function for tables are where the X-input NEVER repeat.
Graph W. Doesn't have any repeating inputs on the x side
Y can repeat as much as the problem make wants but the x CAN NOT.
A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?
Answer:
$14.18
Step-by-step explanation:
just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer