The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube V = 57
s=2/64
s=64+64 +64
s= √64
s=64.64.64
Answers
Answer:
The length of a side is [tex]4in^{3}[/tex]
Step-by-step explanation:
The question is not properly formatted. here is a better format .
"The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?
Recall the formula Cube [tex]v=l*l*l= l^{3}[/tex]
The problem bothers on the mensuration of solid shapes, a cube
Given data
Volume v = [tex]64in^{3}[/tex]
length l= ?
We can solve for the length by find the cube root of the volume, we have.
[tex]64= l^{3} \\l= \sqrt[3]{64} \\l= 4 in[/tex]
Answer: A or s=∛64
Step-by-step explanation: Edge2023
Related Questions
Write a recursive formula to describe the sequence: 1, 3, 7, 13...
Answers
Answer:
f(n) = f(n - 1) + 2(n - 1) for n [tex]\geq[/tex] 1
Step-by-step explanation:
Giving brainliest for CORRECT awnser.
Answers
Answer:
C
Step-by-step explanation:
Answer:
C. (2x+3)(x+5)
Step-by-step explanation:
We need to use FOIL for this
First
Outer
Inner
Last
Let's see the answers of our options:
A. (2x+1)(x+15) = 2x²+30x+x+15 = 2x²+31x+15
B. (2x+15)(x+1) = 2x²+2x+15x+15 = 2x²+17x+15
C. (2x+3)(x+5) = 2x²+10x+3x+15 = 2x²+13x+15
D. (2x+5)(x+3) = 2x²+6x+5x+15 = 2x²+11x+15
Only option C simplifies to 2x²+13x+15
Shown below is a regular pentagon inscribed in a circle. Calculate the area of the shaded region. Round your answer to the nearest tenth.
Answers
Answer:
S(a) = 27,5036 squared units
Step-by-step explanation:
Shaded area is :
S(a) = Area of the circle - area of the regular pentagon (1)
A(c) = area of the circle
A(c) = π*(r)² ⇒ A(c) = π*(6)² ⇒ A(c) = 36*π ⇒ A(c) = 113,0976 squared units
Area of a regular pentagon:
a) If we draw a straight line between the center and each vertex we get 5 triangles, and if we draw the apothem for each side, we get 10 triangles. We will calculate the area of one of these triangles
The first 5 triangles has a central angle equal to 72⁰ according to:
360/5 = 72
When we divide these triangles in two triangles by means of the apothem, each central angle will be of 36⁰, then
sin 36⁰ = 0,58778 and cos 36⁰ = 0,809017 and sin 36⁰ = x/6 here x is half of the side of the regular pentagon. Then
0,58778 = x/6
x = 6*0,58778
x = 3,52668 units of length
and cos 36⁰ = a/6 where a is the apothem, then
0,809017 = a / 6 ⇒ a = 6*0,809017
a = 4,8541 units of length
Now we are in conditon to calculate area of the triangles as:
A(t) = (1/2)*b*h
A(t) = (1/2)*x*a ⇒ A(t) = 0,5* 3,52668*4,8541
A(t) = 8,5594 squared units
Finally we have 10 of these triangles, then
Area of regular pentagon is : 10*A(t) squared units
A(p) = 85,594 squared units
Now plugging these values in equation (1) we get the shaded area
S(a) = 113,0976 - 85,594
S(a) = 27,5036 squared units
Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.
She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
Answers
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
$67.50
$6.75
$675.00
$6,750.00
Answers
Answer:
$675.00
Step-by-step explanation:
4500 x 0.05 x 3 = 675
Writing Percents as Fractions
a. Write 35% as a fraction in simplest form.
35% =
35
100
Write as a fraction with
a denominator of 100.
7
20
Simplity.
Answers
Answer:
Answers are below
Step-by-step explanation:
Percent means "out of 100" so 35% is 35/100. We can simplify this fraction by dividing the numerator and denominator by 5. 35/100 / 5 = 7/20.
7/20 multiply the numerator and denominator by 5.
7/20 x 5 = 35/100
If this answer is correct, please make me Brainliest!
Answer:
b and c
Step-by-step explanation:
3/4 x 1/4
next problme: 3/5 x 1/5
100 pts
Answers
Answer:
0.1875 and 0.12
Step-by-step explanation:
3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12
Answer:
1)0.1875
2)0.12
Step-by-step explanation:
The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *
Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.
Answers
Answer:
Brown house driveway; larger by 5 feet
Step-by-step explanation:
Lets convert yds to ft
We know 3 ft = 1yd
3*7 = 21
so 7yds = 21 ft
Add the 9 ft
7yds 9ft = 21+9 = 30 ft
The house with the 35 ft driveway is longer by (35-30) or 5 ft
Find the arc length of a partial circle with a radius of 5
Will mark brainlist! pleaseeee
Answers
Answer:23.55
Step-by-step explanation:
radius=r=5
Φ=360-90
Φ=270
π=3.14
Length of arc=Φ/360 x 2 x π x r
length of arc=270/360 x 2 x 3.14 x 5
Length of arc=0.75 x 2 x 3.14 x 5
Length of arc=23.55
Answer:
23.55 units
Step-by-step explanation:
Hope this helps!
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
In this problem we assume that the force applied doesn't distort the metal in the spring.
A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
f a triangle has a side length of 10, 12 and 15 units respectively, what type of triangle is it acute right obtuse or no solution
Answers
Answer:
Acute.
Step-by-step explanation:
Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
Using this we can narrow it down that this DOES have a solution, since 10+12>15.
Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.
If c^2= a^2+b^2, then it is a right triangle.
If c^2< a^2+b^2 then it is an acute triangle.
If c^2>a^2+b^2 then it is an obtuse triangle.
We can now substitute. (A and B are interchangeable, but C is the longest length.
A=10
B=12
C=15
A^2=100
B^2=144
C^2=255
We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).
Hope this helps!
Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?
A.) The p-value is 0.0013. He should reject the null in favor of the alternative.
B.) The p-value is 0.0013. He should fail to reject the null.
C.) The p-value is 0.9987. He should reject the null in favor of the alternative.
D.) The p-value is 0.9987. He should fail to reject the null.
E.) There is not enough information provided to calculate the p-value and make a conclusion.
Answers
Answer:
The p-value is 0.0013. He should reject the null in favor of the alternative.
Step-by-step explanation:
We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.
The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.
Let p = proportion of occurrence of tail.
SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.50 {means that it turns up tails equal to that it should if it were fair}
Alternate Hypothesis, [tex]H_A[/tex] : p < 0.50 {means that it turns up tails less often than it should if it were fair}
The test statistics that would be used here One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of tails occurrence = [tex]\frac{35}{100}[/tex] = 0.35
n = sample of trails = 100
So, the test statistics = [tex]\frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }[/tex]
= -3
The value of z test statistics is -3.
Also, P-value of the test statistics is given by;
P-value = P(Z < -3) = 1 - P(Z [tex]\leq[/tex] 3)
= 1 - 0.9987 = 0.0013
Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that it turns up tails less often than it should if it were fair.
(5+2×3)−4+(5x5) ? Highly appreciate it. :)
Answers
Answer:
32
Step-by-step explanation:
Answer: 32
Step-by-step explanation:
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answers
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answers
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?
190
200
210
220
Answers
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
5.5pi = angle/360 * pi * 9
5.5 = angle/360 * 9
angle = (5.5 * 360)/9 = 40 * 5.5 = 220
Assume that the probability of a driver getting into an accident is 5.7% and
that the average cost of an accident is $24,500. If the driver's insurance
premium is $1686.50, what is the overhead cost for the insurance company
to insure the driver?
A. $256
B. $190
C. $290
D. $260
Answers
Answer:
C. $290
Step-by-step explanation:
The expected cost is:
E = 1686.50 − (0.057) (24500)
E = 290
In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?
Answers
Answer:
61%
Step-by-step explanation:
First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.
What fraction equals 4
Answers
Here are a few 4/1 , 8/2 , 12/3
4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4
If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4
If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4
Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
Learn more about fraction
https://brainly.com/question/10354322
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Write parametric equations of the line 2x - y = 3.
a. X = 1, y = 2t - 2
c.
X = 1, y = 3t-2
b. X= 1, y = 2t-3
d.
1
1
X = 1,y= =
2
1.9 -
3
Please select the best answer from the choices provided
A
OB
С
OD
Answers
you know I'm ballin usual like Kobe
Answers
Answer:
miss him :(
Step-by-step explanation:
Answer:
:( RIP
Step-by-step explanation:
Place one digit in each blank. Use 0 if there is no other number to fill the blank.
Joshua counted 7/10 of the chicken eggs. Daniel counted 3/10 of the chicken eggs.
What is the difference between the fraction of eggs counted by each boy?
Write the answer as a decimal in the place value chart.
ones . tenths
.
Answers
Answer:
4/10 dumbaass
Step-by-step explanation:
Answer:
4/20
Step-by-step explanation:
Function
Which ordered pair is on the inverse of f(x)?
© (-4,-2)
o (-2,-2)
o (-1,-2)
*
f(x)
|
-2
DONE
-1
NolNb
1
Answers
Answer:(-1,-2)
Step-by-step explanation:
What’s the correct answer for this?
Answers
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would still be 10° because dilation doesn't change angles
The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
Mark this and retum
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Submit
Answers
Answer:
The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Step-by-step explanation:
The formula of the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone
h is height of cone
We have,
Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,
[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]
So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Please help me - Homework
Answers
Answer:
Step-by-step explanation:
A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2
A ball is thrown straight up from a cliff. The function f(x)= -4.9t^ + 17t +19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is the height reached? Round your answer to one decimal place.
Answers
Answer:
33.7 m at 1.7 seconds
Step-by-step explanation:
For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...
-b/(2a)
For your quadratic, the vertex (highest point) is reached at time ...
t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds
__
The height at that time is ...
f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters
_____
Comment on the function evaluation
We have used the "Horner form" of the function to make evaluation easier.
f(t) = (-4.9t +17)t +19
Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70
Answers
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
Tuli is 10 years younger than Emily. The product of their
ages 2 years ago was 39. Let the present age of Emily
be A. Which of the following quadratic equations does A
satisfy?
Answers
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answers
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
