Answer:
V = 16x²
Width = 12in
Height = 12in
Step-by-step explanation:
Volume of the box is expressed as;
V = Length *Width * height
Given
Length = 16in
Width = x
Height = x
The volume of the box will be expressed as;
V = 16 * x * x
V = 16x² (This gives the required equation)
To get x:
We are given
V = 2304in³
Substitute;
2304 = 16x²
x² = 2304/16
x² = 144
x= √144
x = 12
Hence the width and the height are both 12inches since they are the same.
For the sma
Arc math problem
Thanks
Answer:
Option D
Step-by-step explanation:
17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]
= [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
Here 'r' = radius of the circle
From the picture attached,
r = 10 ft
θ = 300°
Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]
= [tex]\frac{5}{6}(100\pi )[/tex]
= [tex]\frac{250\pi}{3}[/tex]
Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²
Therefore, Option (D) will be the correct option.
Answer:
area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²
PLEASE HELP ME OUT WITH THIS ONE.
A) 27 units
B) 34 units
C) 42 units
D) 37 units
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?
Answer:
118%
Step-by-step explanation:
550 grams and 300+350 grams = 650 grams
650/550 grams x 100 = 118.18
So 118.18 % rounded is 118%
Hope this helps plz hit the crown :D
Answer:
The kitten has gained a 218% more weight since the first visit to the vet.
Step-by-step explanation:
In order to get the percentage the kitten has gained you have to add all the weight together and divide the first visit by the total weight.
TO find the total weight is found by adding all the weights together:
550 + 350 + 300 = 1200
now we divide 1200 by 550 to get a decimal which allows us to find the percentage:
1200 / 550 = 2.18181818182
now we multiply 0.45833333333 by 100 to turn the decimal to a percentage:
2.18181818182 * 100 = 218.181818182%
Now we round up to the nearest percentage which is:
218.181818182% = 218%
A particular type of cell doubles in number every hour. What fuction can be used to find the number of cells presented at the end of h hours if there are intentially 4 of these cells.
Answer:
nis maigeo/a
Step-by-step explanation:
i forget how to do this
The circumference of a circular lawn is 110 feet. If you double the radius, what will the new circumference be?
Answer:
220
Step-by-step explanation:
The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The circumference of a circular lawn is 110 feet.
2πr = 110
r = 55/π
Double the radius:
R = 2r= 110/π
New circumference = 2πR = 2π(110/π) = 220 feet
Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
How do you calculate slope in pre algebra
Answer:
Find the slope from a graph
Locate two points on the line whose coordinates are integers.
Starting with the point on the left, sketch a right triangle, going from the first point to the second point.
Count the rise and the run on the legs of the triangle.
Take the ratio of rise over run to find the slope. m = rise / run.
a research company surveys 8000 people the company expects 6000 to respond favorably if there is a percent error of 2.5% what is the Range of people who will respond Favorably to the survey !!!
please help I'm on a test rn and idk what to do !!
Answer:
Least Amount Likley: 7800
Favorable:8200
Step-by-step explanation:
Favorable 8000+2.5%
Least 8000-2.5% this is the range
Answer:
Least Amount Likely: 7800
Favorable: 8200
Step-by-step explanation:
Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]
Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range
hope this helps:)
Determine the solution for the equation, 5w - 9= 44.
Answer:
w=2
Step-by-step explanation:
Simplifying
4w + -9(6 + -5w) = 44
4w + (6 * -9 + -5w * -9) = 44
4w + (-54 + 45w) = 44
Reorder the terms:
-54 + 4w + 45w = 44
Combine like terms: 4w + 45w = 49w
-54 + 49w = 44
Solving
-54 + 49w = 44
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '54' to each side of the equation.
-54 + 54 + 49w = 44 + 54
Combine like terms: -54 + 54 = 0
0 + 49w = 44 + 54
49w = 44 + 54
Combine like terms: 44 + 54 = 98
49w = 98
Divide each side by '49'.
w = 2
Simplifying
w = 2
Answer:
w has multiple forms
exact w = 53/5
decimal w = 10.6
mixed number w = 10 3/5
5 x 53/5 - 9 = 44
Need Help with this!
Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%
Find the volume for 2 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 2 cylinders where the height of the cylinder is the same as the diameter of the sphere.
Answer:
The volume of a sphere of radius r is:
S = (4/3)*pi*r^3
The volume of a cylinder of radius r and height h is:
C = pi*r^2*h
For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.
First, let's use the radius: r = 2.
The volume of the sphere will be:
S = (4/3)*3.14*(2)^3 = 33.49
The volume of the cylinder, where h = 2*2 = 4, is:
C = 3.14*(2^2)*4 = 50.24
Now, let's choose the radius r = 3.
The volume of the sphere will be:
S = (4/3)*3.14*3^3 = 113.04
The volume of a cylinder with this radius and h = 3*2 = 6, is:
C = 3.14*(3^2)*6 = 169.56
Find the slope and the y-intercept of the line.
Y=-3/2x+7
Answer:
The slope is -3/2 and the y-intercept is 7.
Step-by-step explanation:
hope this helps
Which value is equivalent to 5 + 4 x 2?
A) 11
B) 13
C) 18
D) 22
Please help fast the bottom one I’ll give brainless an extra points for correct answer
Answer:
2*2*2*3*3*7
Step-by-step explanation:
prime facotrization = 2^3 x 3^2 x 7^1
2 x 2 x 2 x 3 x 3 x 7 = 504
PLEASE HELP FAST AS A MIXED RADICAL READ IT CARFULLY BRAINLIST!
Answer:
[tex]2\sqrt[3]{2}[/tex]
Step-by-step explanation:
This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]
Write an equation for the graph
No mix numbers or decimals
Picture attached
Please help ASAP
someone help plz right answer gets brainliest
Answer:
CGIA
Step-by-step explanation:
C is the first line, G is the second, I is the third, and A is the fourth.
I graphed it all. If I helped you, give me brainliest
Someone please help me with this
Answer:
11902
Step-by-step explanation:
mean=x=60
replace x with 60
y=-7628+325.5(60)
y=11902
Which point on the unit circle corresponds to -pi?
Answer:
mid point of circle⭕ is a answer
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?
Answer:
1 / 2
Step-by-step explanation:
Total # of marbles in the bag = 30
Total # of blue marbles in the bag = 15
Probability of pulling a blue marble = # of blue / total # of marbles
Probability = 15 / 30
Simplify = 1 / 2
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
What is the solution to the system of equations graphed below? A (2, 4) B (4,2) C (0,6) D (6,0)
Answer: (4,2)
Step-by-step explanation:
The solution would be where the two lines intersect which is the point (4,2)
Answer:
(4,2)
Step-by-step explanation:
(x=4, y=2)
the solution is the point of intersection of the graph
Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?
Answer:
She needs to order 6 pizzas.
Step-by-step explanation:
(My bad I thought it was one pizza that fed 4 people not two)
Answer:
6 pizzas
Step-by-step explanation:
2pizza=4 people
12/4=3
3*2=6
PLEASE HELP ME PLEASE!!
Answer:
Is that you in your pfp?
Step-by-step explanation:
Answer:
A then D then C then F thats what I see
Step-by-step explanation:
plz help soon asap............................................
Answer:
0
Step-by-step explanation:
y=mx+b
m=0
whats -33 + -20 , show how you can describe it.”
Step-by-step explanation:
-33 + -20 is -53. and I don't how
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
Kathy is 33 years old. She is 7 years younger than 5 times her daughter's age. The equation,
5x-7= 33, where x equals her daughter's age, can be used to find the age of Kathy's daughter. How
old is Kathy's daughter?
Answer:
Kathy's daughter is 8 years old
Step-by-step explanation:
What we know:
Kathy is 33 years old.
That is 7 years younger than 5 times her daughter's age.
With that, the equation 5x - 7 = 33 can be used to find x.
Step 1:
Move "- 7" to the right side of the equation, and find the opposite of it.
5x = 33 + 7
Step 2:
Add "33" and "+7" to get "40."
5x = 40
Step 3:
Divide both side by "5."
5x/5 = 40/5
x = 8
Thus, Kathy's daughter is 8 years old.
Answer:
8
Step-by-step explanation:
Round 3.457 to
the tenths place.
Answer:
3.5
Step-by-step explanation:
If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.
Love, gocry
i though originally the answer was 1/4x+4 but tgats not it please help
Answer:
what is that
Step-by-step explanation:
me cant see
Answer:
y = 4x
Step-by-step explanation:
You were close, its positive 4 rather than negative 4.