The volume of a cube is surface area is 54cm2

We can see that the points (1,0), (3,7), and (7,29.74) are on the graph of this equation. Therefore, the correct answers are (C.) (1,7), (G.) (56,2), (H.) (27,3).

An equation is a mathematical statement that shows the equality between two expressions. It is made up of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and roots. An equation is represented by an equal sign (=) which means "is equal to".

Equations are used in various fields of mathematics and science to represent relationships between variables and to solve problems. They can be linear or nonlinear, and may involve one or more variables.

Solving an equation involves finding the value(s) of the variable(s) that make the equation true. This may involve algebraic manipulation, substitution, or other techniques depending on the complexity of the equation.

First, let's simplify the given equation:

k = 3^(√(V/7))

We know that k is the scale factor by which the solid must be dilated, so let's solve the equation for V in terms of k:

k = 3^(√(V/7))

log3(k) = √(V/7)

(log3(k))^2 = V/7

V = 7*(log3(k))^2

Now, we can use this equation to find the values of V for different values of k:

For k = 1, V = 7*(log3(1))² = 0

For k = 2, V = 7*(log3(2))² ≈ 4.83

For k = 3, V = 7*(log3(3))² = 7

For k = 4, V = 7*(log3(4))² ≈ 12.11

For k = 5, V = 7*(log3(5))² ≈ 17.67

For k = 6, V = 7*(log3(6))² ≈ 23.57

For k = 7, V = 7*(log3(7))² ≈ 29.74

Based on these values, we can see that the points (1,0), (3,7), and (7,29.74) are on the graph of this equation. Therefore, the correct answers are:

(C.) (1,7)

(G.) (56,2)

(H.) (27,3)

To know more about factor visit:

https://brainly.com/question/29126560

#SPJ1

We can see that the points (1,0), (3,7), and (7,29.74) are on the graph of this equation. Therefore, the correct answers are (C.) (1,7), (G.) (56,2), (H.) (27,3).

An equation is a mathematical statement that shows the equality between two expressions. It is made up of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and roots. An equation is represented by an equal sign (=) which means "is equal to".

Equations are used in various fields of mathematics and science to represent relationships between variables and to solve problems. They can be linear or nonlinear, and may involve one or more variables.

Solving an equation involves finding the value(s) of the variable(s) that make the equation true. This may involve algebraic manipulation, substitution, or other techniques depending on the complexity of the equation.

First, let's simplify the given equation:

k = \(\sqrt[3]{}\)(V/7))

We know that k is the scale factor by which the solid must be dilated, so let's solve the equation for V in terms of k:

k = \(\sqrt[3]{}\)(V/7))

log3(k) = √(V/7)

(log3(k))² = V/7

V = 7*(log3(k))²

Now, we can use this equation to find the values of V for different values of k:

For k = 1, V = 7*(log3(1))² = 0

For k = 2, V = 7*(log3(2))² ≈ 4.83

For k = 3, V = 7*(log3(3))² = 7

For k = 4, V = 7*(log3(4))² ≈ 12.11

For k = 5, V = 7*(log3(5))² ≈ 17.67

For k = 6, V = 7*(log3(6))² ≈ 23.57

For k = 7, V = 7*(log3(7))² ≈ 29.74

Based on these values, we can see that the points (1,0), (3,7), and (7,29.74) are on the graph of this equation. Therefore, the correct answers are:

(C.) (1,7)

(G.) (56,2)

(H.) (27,3)

To know more about factor visit:

brainly.com/question/29126560

#SPJ1

Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The character of Della is defined as young, affectionate, selfless, and somewhat hysterical.

The famous English author O. Henry has written a short story called "The Gift of the Magi" takes the ironic twist to a new level.

And the story tells the life of a young newlywed couples called Della and Jim, and the story will run at the time of Christmas eve, and the female character wants to present a gift to his mate but she realizes she does not have enough money to buy her beloved husband Jim a Christmas gift.

For that thing she decides to sell her most prized possession that is none other than her long, beautiful hair. And then she uses the money to buy a platinum watch chain for Jim's most valued item, which is a gold watch that has been in his family for generations.

Based on these we have identified the character of Della.

To know more about character here.

https://brainly.com/question/22978023

#SPJ4

Answer:

^G=98°

Step-by-step explanation:

So you know that angle x and angle g summed up together make 180°.

^F+^H+^G= 180°

<=> 53°+45°+^G=180°

<=> ^G= 180°-98°=82°

180°-82°=98°

Answer: in the picture

98

Step-by-step explanation:

The numbers are 14.42 and 3.6055.

It is the whole which is to be divided into different equal parts. For example, if 10 divided by 2 is 5, then 10 is the dividend here, which is divided into two equal parts whereas 2 is the divisor, the quotient is 5 and the remainder is 0.

We can write the system of equations

x*y=52   .......(1)

\(\frac{x}{y}\)=4         ........(2)

We can use substitution to solve

From equation (2) we get,

x = 4y     .......(3)

now substitute in equation (1)

4y*y = 52

\(4y^{2} = 52\)

\(y^{2} = \frac{52}{4}\)

\(y = \sqrt{13}\)

y = 3.605

We can solve for x = ?

from equation (3)

x = 4y

x = 4*3.605

x =   14.42  

Hence, The numbers are 14.42 and 3.6055.

Learn more about dividend from the  given link :-https://brainly.com/question/2960815

#SPJ4

The standard deviation of the sample proportion i 0.05.

Given a population of size 1000 with a proportion of 0.5, the proportion and standard deviation of the sample proportion for samples of size 100 are as follows: Proportion of sample proportion: 0.5 (same as population proportion)

The standard deviation of sample proportion: To find the standard deviation of the sample proportion, we use the formula: Standard deviation = √(pq/n)

where p is the population proportion, q is the complement of p (q = 1 - p), and n is the sample size.

Substituting the given values, we get:q = 1 - p = 1 - 0.5 = 0.5n = 100

Therefore, the standard deviation of the sample proportion is: Standard deviation = √(pq/n)= √(0.5 × 0.5/100)≈ 0.05.

To learn more about Standard deviation visit:https://brainly.com/question/23907081

#SPJ11

Answer:

Step-by-step explanation:

The answer is  the length of p, to the nearest 10th of a centimeter is 13.3 cm .

What is the law  of sines ?

he Law of Sines (or Sine Rule) is very useful for solving triangles.

According to the law ,

When we divide side a by the sine of angle A

it is equal to side b divided by the sine of angle B

and also equal to side c divided by the sine of angle C

\(\rm \dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)

It is given that in Δ PQR

r = 4.9 cm

angle R = 21

angle P =104

Length of p needs to be found

Therefore by using above equation

\(\rm \dfrac{r}{sinR} = \dfrac{p}{sinP}\)

\(\rm \dfrac{4.9}{sin21^{0}} = \dfrac{p}{sin104^{0}}\)

p= 13.3 cm

Therefore the length of p, to the nearest 10th of a centimeter is 13.3 cm .

To know more about law of sines

https://brainly.com/question/17289163

#SPJ2

Answer:

THE MEASUREMENT ON THE THIRD ANGLE IS 180!!

Step-by-step explanation:

Answer:4/8 or simplified answer 1/2

Step-by-step explanation:

3/4 + 3/8, first you have to find the highest common factor of 4 and 8.

The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.

6/8 + 3/8= 9/8

9/8 - 5/8= 4/8

The simplified answer is 1/2

Answer:

Third one

Step-by-step explanation:

The only equation that is even true is the third one.

If the cube of a number is x, then cube root of x is that number.

So the cube of 7^(1/3) is (7^(1/3))^3.

By law of exponents, we have (7^(1/3))^3=7^(1/3×3)=7^1=7.

So the cube of 7^(1/3) is 7, so the cube root of 7 is 7^(1/3).

Answer:

\(\Huge \boxed{\£55}\)

________________________________________________________

A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.

\(\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}\)

To work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.

                                 ×0.83

Original Price →→→→→→→→→→→→→ Sale Price

        £?           ←←←←←←←←←←←←←     £45.65

                                ÷0.83

\(\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}\)

Therefore, the original price of the dress is £55.

________________________________________________________

Answer:

A

Step-by-step explanation:

Because they will be assigned to a renter, represented by each of their unique identity.  Each mail box will received different mails addressed to their owners.

if the mail boxes are all nameless and not for rent, and just sit there used as bins to collect mails, i.e., ALL identical, then they will be quantitative.

If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).

The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.

Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.

Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.

Complete question:

Your ANOVA is statistically significant. How will you determine which groups are different?

Use planned or unplanned comparisons.

Look at what the means in each group are.

Conduct Levene's test.

None of the above

Learn more about the Anova test here:

https://brainly.com/question/15084465

#SPJ1

Answer:

c = zw + z

c - z = zw

w = (c - z) / z

We're trying to find the total number of faces F = S + H + D. To do this, we can substitute the expressions for V and E into Euler's formula: (S + H + D) - (4S + 6H + 10D)/2 = 2. Multiplying both sides by 6 to eliminate the fractions: 6(S + H + D) - 3(4S + 6H + 10D) = 12. Simplifying the equation: 6S + 6H + 6D - 12S - 18H - 30D = 12. Combining like terms: -6S - 12H - 24D = 12. Divide both sides by -6: S + 2H + 4D = -2

Let's first consider the number of edges that each face of p has. Since p is convex, each face must be a convex polygon. We know that each vertex is contained in exactly one face of each type, which means that each vertex must be the meeting point of at least three faces. Therefore, each face must have at least three edges.
Since each face is either a square, hexagon, or decagon, we know that the sum of the angles of each face is:
- For a square: 360 degrees
- For a hexagon: 720 degrees
- For a decagon: 1440 degrees
Using the formula for the sum of angles in a convex polygon (180(n-2)), we can find the number of sides for each face:
- For a square: 4 sides
- For a hexagon: 6 sides
- For a decagon: 10 sides
Let's assume that p has f faces. Then, the total number of edges in p is:
E = (4 * number of squares) + (6 * number of hexagons) + (10 * number of decagons)
E = 4s + 6h + 10d
On the other hand, we know that the sum of the degrees around each vertex in p is 360 degrees. Each vertex is contained in exactly one face of each type, so the number of vertices in p is equal to the sum of the number of faces of each type. Therefore:
V = s + h + d
Using Euler's formula for polyhedra (V - E + F = 2), we can solve for the number of faces:
F = 2 - V + E/2
F = 2 - (s + h + d) + (2s + 3h + 5d)/2
F = (3s + 5h + 9d - 4)/2
We know that f must be an integer, so 3s + 5h + 9d must be even. This means that either all of s, h, and d are even, or exactly one of them is odd and the other two are even.
Since p is a convex polyhedron, it must satisfy the condition that the sum of the angles around each vertex is less than 360 degrees (otherwise it would be non-convex). We can check that the only possible combination of numbers of squares, hexagons, and decagons that satisfies this condition and the evenness condition is:
- 12 squares, 20 hexagons, and 30 decagons
Therefore, p has a total of:
f = 12 + 20 + 30
f = 62 faces.

learn more about Euler's formula here: brainly.com/question/24300924

#SPJ11

Yes. A greater percentage of children experienced side effects than adults.

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage of adults that have side effects be = 0.07 = 7 %

Let the percentage of adults that have no side effects be = 0.43 =43 %

Let the percentage of children that have side effects be = 0.22 = 22 %

Let the percentage of children that have no side effects be = 0.28 = 28 %

And , 7 % < 22 %

Therefore , the percentage of children that have side effects is greater than the percentage of adults that have side effects

Hence , the percentage of children that have side effects is greater than the percentage of adults that have side effects

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ7

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

Well I only know 1 and its 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function is nonlinear.  Note that each new x value is obtained by adding 2 to the previous x value (spacing is 2), and that the y values don't follow such a pattern, but follow:

1 = 0 + 1

3 = 1 + 2

9 = 3 + 6

Answer:

9/n-2=7

We move all terms to the left:

9/n-2-(7)=0

Domain of the equation: n!=0

n∈R

We add all the numbers together, and all the variables

9/n-9=0

We multiply all the terms by the denominator

-9*n+9=0

We add all the numbers together, and all the variables

-9n+9=0

We move all terms containing n to the left, all other terms to the right

-9n=-9

n=-9/-9

n=1

Answer:

n = 1

Step-by-step explanation:

2 x 1 = 2

2 + 7 = 9

The given bounded region is the set

\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)

assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).

The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios

\(\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}\)

Compute the area of \(R\).

\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)

Integrate \(x\) and \(y\) over \(R\).

\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)

\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)

Then the centroid's coordinates are

\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)

\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)

Given the graph of a line

As shown : the line passes with points (0 , 3 ) and ( 4 , -1 )

The general slope intercept form is : y = m * x + b

Where m is the slope and b is y- intercept

The point of y- intercept is = ( 0 , 3 )

Substitute with m and b at the general form

So, the equation of the line will be :

So ,the answer is the first option: y = -1x + 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = - 2x - 1

Comparing with the general equation above

Slope = - 2

Y - intercept = - 1

Hope this helps you

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

For more such question on speed. visit :

https://brainly.com/question/26046491

#SPJ8

The coordinates of the pre-image of F include the following: A. (-2, 4).

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = -x would interchange (switch) the x-coordinate and y-coordinate in order to form a negative inverse of the parent function and this is given by this transformation rule:

(x, y)                                    →              (y, x)

Ordered pair F = (4, -2)      →        Ordered pair F' = (-2, 4).

In conclusion, we can reasonably infer and logically deduce that the coordinates of the pre-image of F after a reflection across the line y = -x are (-2, 4).

Read more on reflection here: https://brainly.com/question/12150144

#SPJ1

Answer:

Step-by-step explanation:

Area of square = (Length of side)

2

By putting the given values, we have:

1728

=

(length of side)

2

×

8

Solve for length of side,

Length of side of square base of pool =  

√

1728

8

=

12

f

e

e

t

This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be  

12

×

3.5

f

e

e

t

2

of area, which equals  

42

f

e

e

t

2

.

You have  

4

sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:

42

×

4

=

168

f

e

e

t

2

Answer:

A

Step-by-step explanation:

\(\frac{2x^2-10x-28}{6x} *\frac{6}{x-7}\\ = \frac{2(x^2-5x-14)}{6x} *\frac{6}{x-7}\\ = \frac{(x-7)(x+2)}{3x}*\frac{6}{x-7}\\ = \frac{(x+2)*6}{3x}\\ = \frac{2(x+2)}{x} \\ = (2x+4)/x\)