Answer:
The new volume is 7^3 or 343 times the old volume
Step-by-step explanation:
The original sphere has a volume of
V = 4/3 pi r^3
The radius is multiplied by 7
The new volume is
V = 4/3 pi (7r) ^3
V = 4/3 pi (7)^3 r^3
The new volume is 7^3 or 343 times the old volume
There are 12 people in a class they are asked wether they have a brother or sister 9 say they have a brother 7 say they have a sister 2 say they have neither
Step-by-step explanation:
Here is the work in the middle there would be 2 because the have neither brother or sister
Answer:
2
Step-by-step explanation:
The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.
Answer:
1.89 radians or 108 degrees.
Step-by-step explanation:
Circumference of the circle = 10 * 3.142
= 31.42.
So 31.42 is equivalent to 2 pi radians, so:
Angle subtended at the center
= (9.42 / 31.42) * 2 pi
= (9.42 / 31.42) * 2 * 3.142
= 1.89 radians or 108 degrees..
Determine which of the given numbers are zeros of the polynomial g(x)=x^4+6x^3-x^2-30x.
a.) 2, 3
b.) 0, -1
c.) 2, -1
d.) 0, 2
Answer:
d.) 0, 2
Step-by-step explanation:
I graphed the polynomial on the graph below to find the zeros of the function.
If this answer is correct, please make me Brainliest!
Mark is 4 years older than his brother Mike. If the sum of their ages is 20 how old are they now?
x + x + 4 = 20
x + x = 16
16 / 2 = 8
Mike is 8, and Mark is 12.
Simplify 8+7/8x−1−1/2x.
Answer:
7 + 3/8x
Step-by-step explanation:
8+7/8x−1−1/2x.
Combine like terms
8-1 + 7/8x -1/2x
7 + 7/8x -1/2x
Get a common denominator
7 + 7/8x -4/8x
7 + 3/8x
Someone help me here pleaseee
Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°.
180 - (25 + 117) = missing angle
180 - (142) = missing angle
38 = missing angle
The measurement of the missing angle is 38°
Answer:
The measure of the missing angle is 38°
which of the following are true
Answer:
the 4 one maybe
Step-by-step explanation:
Subtract (3x^3+4x^2)-(2x^3+3x^2-x)
Answer:
X^3 + x^2 + x
Step-by-step explanation:
First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.
If I have a package deal if $80 what is the shipping price? PLEASE HELP
A man came to the King and asked, "King, let me pick an apple from your garden." The King agreed to the request so the man went to the garden and saw that it was fenced off with three fences and that there was a gate in each fence. A guard stood next to each gate. "The King has allowed me to pick an apple from the garden," said the man to the first guard. "Go ahead," answered the guard, "but when you exit give me half of all the apples that you have, plus one more." The other two guards each said the same thing to the man. How many apples should the man pick in order to have one apple left for himself after he gives each of the guards all the apples they demanded?
Answer:
The Man must pic 22 Apples.
Step-by-step explanation:
Find the attachments
Laws of Sines: Find each measurement indicated. Round your answer to the nearest tenth.
Answer:
2. 137°
3. 24.7°
Step-by-step explanation:
Using cosine law:
2. 28² = 12² + 18² - 2(12)(18)cosA
cosA = -79/108
A = 137.0107361°
3. 15² = 19² + 30² - 2(19)(30)cosC
cosC =259/285
C = 24.66381079°
The measure of the angle is:
m∠A = 66.8°
m∠C = 30°
We have,
2.
Using tan trigonometric identities.
tan A = 28/12
Simplify the fraction
tan A = 7/3
Take inverse trigonometry
A = [tex]tan^{-1}(7/3)[/tex]
A = 66.8°
3.
Using sin trigonometric identities.
sin C = 15/30
Simplify the fraction
sin C = 1/2
Take inverse trigonometry
C = [tex]sin^{-1}(1/2)[/tex]
C = [tex]sin^{-1} sin ~30[/tex]
C = 30°
Thus,
The measure of the angle is:
m∠A = 66.8°
m∠C = 30°
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?????????????????????????????????????????????????????????????????????????????????????????????????????????yo pls help
Answer:
75 pieces
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
You can use process of elimination, first, it's asking for pieces, not ounces, it's also must be larger than 45 since the other variable is increasing.
The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):
the answer is c
Step-by-step explanation:
Cam rode her bike 5 times as far as Dante did. Dante rode 197 meters farther than Michael did. Cam rode 10.25 kilometers. How many meters did Michael ride? Complete the explanation of how you got your answer.
Answer:
1853metre
Step-by-step explanation:
Taking Danta distant as x
While Cam's will be 5x because he cover distance 5 time more than dante
I.e. Cam rode 10.25 km, to get what dante covers
5x=10.25
x=10.25/5
x=2.05km
Dante rode 2.05 km as calculated above
We must remember 1km=1000m. Hence, 2.05 km=2050 m
From the question, "Dante rod 197 m more than Michael", the distance Michael will ride then will be:
2050 metre - 197 metre
=1853 metre
Michael have rode 2863 metre
which of the following is the best way of selecting a random sample
Answer:
I believe its c because a b and d are far off
Step-by-step explanation:
if butter the dog jumps two times and falls one time then how many times has he jumped?
Answer:1 or 3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Which has a positive value in Quadrant III?
A) Cosine only
B) Sine only
C) Tangent only
D) Cosine and Sine
Answer:
C) Tangent only
Step-by-step explanation:
In quadrant III Tangent (& cotangent as well) only is positive.
Answer: Sine only (B)
Step-by-step explanation: i got it wrong and saw the right answer on USATP, if you don’t believe me please click on the image for proof.
what is a unit rate?
Answer:
A unit rate is like a calculator or price per unit. that you will have to divide the numerator by the denominator.
Step-by-step explanation:
Example: "A motorcycle travels 230 miles on 4 gallons of gasoline." basically you will have to find the average mileage per gallon of how much that motorcycle used.
I'm not sure if this helped. sorry
When graphing an equation in slope-intercept form, what is the first step.
Answer:
Typically the answer is Graph the y intercept because when you do slope intercept you cant always start with the origin unless you don't have a b to base it off of.
The population of the United States, u, is about one hundred thousand less than the population of India, i. Write and equation that represents the two populations.
Answer: u = i- 100,000
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Population of the United States = u
Population of India = i
Since the population of the United States, u, is about one hundred thousand less than the population of India, i, we have to subtract 100,000 (one hundred thousand) to the population of India (i). That expression must be equal to the population of United States (u).
Mathematically speaking:
u = i- 100,000
Feel free to ask for more if needed or if you did not understand something.
Use the distributive property to remove the parentheses.
-7 ( -2w - 4y + 1 )
Answer: [tex]14w+28y-7[/tex]
Step-by-step explanation:
multiply everything by -7
Answer:
Step-by-step explanation:
14w+28y-7
Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
Distribute 2 to (x + 6) and 3 to (X - 4)
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Answer:
Distribute 2 to (x+6) and 3 to (x-4)
Step-by-step explanation:
The first thing you need to do when solving an equation with parenthesis is to always simplify the expression first before solving. This makes it easier to solve the equation.
On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT
Answer:
[tex]|RT|=\sqrt{85}$ units[/tex]
Step-by-step explanation:
On Rectangle QRST
QS is congruent to RT since they are opposite side of a rectangle.
If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.
For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]
[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]
Since
[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]
What is the range of the following set?
27, 18, 29, 25, 23, 23, 21, 32, 20
Answer:
The range is 14.
Step-by-step explanation:
To find the range in a data set, you have to subtract the lowest number from the highest number in the set. The highest number is this set was 32. The lowest was 18. 32-18=14. Thus, the answer is 14.
What is the greatest common factor of 20x^2,10x, 15
Answer: The greatest common factor is 5.
A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?
Answer:
x^2 + (y + 4.3)^2 = 131
Step-by-step explanation:
The basic equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here the center is (0, -4.3) and the radius is √131. Substituting as indicated, we get:
(x - 0)^2 + (y + 4.3)^2 = 131, or
x^2 + (y + 4.3)^2 = 131
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?
Answer:
27
Step-by-step explanation:
7(6) = 42. 42-15 is 27
The value of this function for f(6) is 27.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.
WE need to find the value of this function for f(6).
So, plug 6 into x
7(6)-15
42 - 15
= 27
Hence, the value of this function for f(6) is 27.
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David's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it?
Answer:
Step-by-step explanation:
Round your answers to one decimal place, if necessary.
A baseball team scored the following number of runs over a 10-game period:
4 10,7,9,3, 11,4,9,1.6.
Find the mean, median, and range.
The mean is
The median is
The range is
Answer:
Mean: 6.5
Median: 7
Range: 9.4
Step-by-step explanation:
arrange the following data set from least to greatest.
1.6, 3, 4, 4, 7, 9, 9, 10, 11
Mean: Finding the total average of the following data set.
Median: The middle number in the data set
Range: Subtracting the highest and the lowest value from the arranged data set.
Mean: 1.6 + 3 + 4 + 4 + 7 + 9 + 9 + 10 + 11 = 58.6/9 = 6.5
Median: 7
Range: 11 - 1.6 = 9.4
Food Mart and Jan’s Store sell boxes of the same type of breakfast cereal.
Each shop has a special offer.
food mart has 400 g, 20% off the normal price of £5
jans store 400 g plus 30% extra £5
Which box of cereal is the better value for money?
You must show your working
someone help pleaseee
Answer:
The box of cereal bought at Farm store is a better value for money
Step-by-step explanation:
To answer this question question, we will need to be making a comparison. The comparison i will like to make with the two offers is price per grammes ( £/g). The offer with a better price or higher price per grammes win.
Let’s proceed!
For the food mart,
we are paying 20% off £5 for 400g
let’s calculate 20% off £5
That would be 5-(20/100 * 5) = 5-1 = £4
The price per grammes here is £4/400g = £0.01/g
For Jans store ;
we have 400g plus 30% extra at £5
What we need do here is to first calculate 30% extra of 400g
Mathematically, that would be 30/100 * 400 = 120
Total grammes here is 120 + 400 = 520g
Price per grammes here would be ; £5/520g = £0.00962/g
This is lesser than what we have at Food mart as 0.01 > 0.0096
