Simplify the expression that you wrote in part D, and explain what the number means with regard to the problem.

After simplify this expression \((b^{1/5}.c^3)^{-5/2)}\) we get, \(1/(\sqrt{b \times c^{15/2}}\).

The given expression. \((b^{1/5}.c^3)^{-5/2}\)

To simplify this,

\(b^{1/5}\times(-5/2)\)

\(= b^{-1/2}\)

\(= 1/-\sqrt{b}\)

\(c^3\times(-5/2)\)

\(= c^{-15/2}\)

\(= 1/c^{15/2}\)

\(1/(\sqrt{b \times c^{15/2} }\)

Therefore, the final answer is \(1/(\sqrt{b\times c^{15/2}} .\)

Learn more about expression here;

https://brainly.com/question/23935547

#SPJ4

The mean of the given data is 22.6

In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:

23, 14, 27, 35, 7, 16, 25, 23, 35, 21.

We have to compute the mean.

As we know that;

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.

To find the mean we firstly add the given data then we divide the sum of data by the total number of data.

Mean = Sum of all data/ Total number

Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10

Mean = 226/10

Mean = 22.6

To learn more about mean link is here

brainly.com/question/13451489

#SPJ4

Answer:

the answer is $16

Step-by-step explanation:

Answer:

here u go the answer is $16

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Answer:

4<x<8                         interval notation is (4,8)

Step-by-step explanation:

hope this helps

Answer: d.[4,8]

Step-by-step explanation:got it right

Answer: 26

Step-by-step explanation:

The common rate of both expressions are equal, so the expressions 64,96 and 60,90 are proportional

The expressions are given as

64,96 and 60,90

Rewrite the expressions as

(x, y) = (64,96) and (60,90)

As a general rule

Proportional expressions have the same constant rate

The constant rate (r) of the expressions is then calculated as

r = y/x

For the expression (64, 96), we have the following computation

r = 96/64

Evaluate the quotient

So, we have

r = 1.5

For the expression (60, 90), we have the following computation

r = 90/60

Evaluate the quotient

So, we have

r = 1.5

The common rate of both expressions are equal i.e. 1.5

Hence, the expressions 64,96 and 60,90 are proportional

Read more about proportions at

https://brainly.com/question/870035

#SPJ1

The solution to the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 in terms of the inverse of the coefficient matrix is:
x1 = (1/3) + (2/3)x2
x2 = (1/3)
x3 = 1/3

To express the solutions of the system of equations x1 + 2x2 − x3 = 2 , x1 + x2 −x3 = 1 in terms of the inverse of the coefficient matrix, we first need to find the coefficient matrix. This matrix is:

[1 2 -1]
[1 1 -1]

The inverse of this matrix can be found by using the formula:

A^-1 = 1/det(A) * adj(A)

where det(A) is the determinant of the matrix A, and adj(A) is the adjugate of the matrix A. The determinant of the coefficient matrix is 3, so we have:

A^-1 = 1/3 * [1 -2]
              [-1 1]

Now, we can use this inverse matrix to solve the system of equations. First, we can write the system in matrix form as:

[1 2 -1] [x1]   [2]
[1 1 -1] [x2] = [1]

Multiplying both sides by the inverse of the coefficient matrix, we get:

[1 -2] [x1]   [1]
[-1 1] [x2] = [-1]

Solving for x1 and x2, we get:

x1 = (1/3) + (2/3)x2
x2 = (1/3)

Now, we can substitute these values into either of the original equations to solve for x3. Using the first equation, we get:

x3 = 2 - x1 - 2x2 = 2 - (1/3) - (4/3) = 1/3

Know more about coefficient matrix here:

https://brainly.com/question/13127746

#SPJ11

The hoop's translational kinetic energy divided by its rotational kinetic energy is ¼. So, the correct answer is E.

A hoop of mass (m) and radius (r) rolls with a constant speed on a horizontal surface without slipping, meaning its linear velocity (v) is equal to the product of its angular velocity (ω) and radius (r):

v = ωr.

We are asked to find the ratio of the hoop's translational kinetic energy (K_t) to its rotational kinetic energy (K_r).

The translational kinetic energy is given by the formula K_t = (½)mv², and the rotational kinetic energy is given by K_r = (½)Iω²,

where I is the moment of inertia. For a hoop, the moment of inertia is given by I = mr².

Now, we'll express ω in terms of v using the given relationship (v = ωr), so ω = v/r.

Then, we'll substitute this expression into the K_r formula:

K_r = (1/2)(mr²)(v²/r²).

After simplifying, we get K_r = (½)mv².

Finally, we'll find the ratio K_t / K_r = [(½)mv²] / [(½)mv²], which simplifies to 1.

Therefore, the answer is (E) ¼.

Learn more about translational kinetic energy at

https://brainly.com/question/15272317

#SPJ11

Answer:-17x-21

Step-by-step explanation:

-21+5x-22x

-21-17x

-17x-21

-17x-21

Answer:

B. -17x-21

Step-by-step explanation:

-4 +5x - 17 - 22x = ?

(5x-22x) - 4 - 17 = -17x-21

Answer:

y = 0

Step-by-step explanation:

Substitute x = 0 into the equation

y = 40x² , then

y = 40 × 0² = 40 × 0 = 0

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

To know more on volume

https://brainly.com/question/16134180

#SPJ4

Answer:

Step-by-step explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14

14

Step-1: Prepare a table that represents the number of dots above a specific number:

\(\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||\)

Step-2: Put the values in ascending or descending upon your choice:

\(10, 10, 12, 13, 14, 15, 18, 19, 19\)

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

\(\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}\)

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

\(10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19\)

The median of the dot plot is 14.

Answer:

36 units squared

Step-by-step explanation:

Multiply the base by the height, so 6 by 12, then divide by 2

When the standard deviation of a sample increases, the confidence interval option (a) becomes wider.

When we increase the standard deviation of the sample, it means that the values in the sample are more spread out from the mean. This results in a larger range of possible values for the population parameter, which makes the confidence interval wider.

To put it mathematically, the formula for the confidence interval is:

CI = X ± t*(s/√n)

Where:

X is the sample mean

s is the sample standard deviation

n is the sample size

t is the t-score, which depends on the desired confidence level and degrees of freedom.

As we can see from the formula, the standard deviation (s) is directly proportional to the width of the confidence interval (CI). This means that if the sample standard deviation increases, the width of the confidence interval also increases.

Therefore, the correct answer to the question is: a) It becomes wider.

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

Anaphora, Antithesis, Antimetabole, Chiasmus and Zeugma are the five types of parallelism.

Given,

Parallelism;-

The repetition of the same grammatical form in two or more different portions of a phrase is referred to in English grammar as parallelism (also known as parallel structure or parallel construction). not similar. Parallel. I enjoy baking, painting, jogging, and watching movies. I enjoy baking, painting, baking, and watching movies.

Here,

Types of Parallelism;-

Learn more about parallelism here;

https://brainly.com/question/22746827

#SPJ4

The point of local minimum is given as (2,5)

By equating the first derivative with 0, we evaluate the critical points.

If "a" is a critical point and f'(x) changes sign from negative to positive through "a", then "a" is point of local minimum.

If f'(x) changes sign from positive to negative through "a", then "a" is a point of local maximum.

Read more about local minimum here:

https://brainly.com/question/2437551

#SPJ1

Answer:

because the answer is 6.601 not 6.501

Step-by-step explanation:

you must have done the work wrong

Answer:

the determine the mZJKN is determining its self lol

Step-by-step explanation:

The choices that are equivalent to the given expression are

A. \(\sqrt[4]{x^{9} }\)

B. \((x^{9} )^{\frac{1}{4} }\)

E. \((\sqrt[4]{x })^{9}\)

From the question, we are to determine which of the given choices are equivalent to the given expression

The given expression is

\(x^{\frac{9}{4} }\)

We will simplify each of the given choices to determine which are equivalent to the given expression

By law of indices,

\(\sqrt[n]{x^{m} } = x^{\frac{m}{n}}\)

∴  \(\sqrt[4]{x^{9} }=x^{\frac{9}{4} }\)

Hence, \(\sqrt[4]{x^{9} }\) is equivalent to the given expression

If we clear the bracket and multiply the powers, we get

\(x^{9\times \frac{1}{4} }\)

= \(x^{\frac{9}{4} }\)

Hence,    \((x^{9} )^{\frac{1}{4} }\) is equivalent to the given expression

If we clear the bracket and multiply the powers, we get

\(x^{4\times \frac{1}{9} }\)

= \(x^{\frac{4}{9} }\)

Hence,    \((x^{4} )^{\frac{1}{9} }\) is not equivalent to the given expression

By law of indices,

\(\sqrt[n]{x^{m} } = x^{\frac{m}{n}}\)

∴  \(\sqrt[9]{x^{4} }=x^{\frac{4}{9} }\)

Hence, \(\sqrt[9]{x^{4} }\) is not equivalent to the given expression

By law of indices,

\((\sqrt[n]{x })^{m}= (x^{\frac{1}{n}})^{m}\)

∴  \((\sqrt[4]{x })^{9}= (x^{\frac{1}{4}})^{9}\)

If we clear the bracket and multiply the powers, we get

\(x^{\frac{1}{4}\times 9 }\)

= \(x^{\frac{9}{4} }\)

Hence,  \((\sqrt[4]{x })^{9}\) is equivalent to the given expression

By law of indices,

\((\sqrt[n]{x })^{m}= (x^{\frac{1}{n}})^{m}\)

∴  \((\sqrt[9]{x })^{4}= (x^{\frac{1}{9}})^{4}\)

If we clear the bracket and multiply the powers, we get

\(x^{\frac{1}{9}\times 4 }\)

= \(x^{\frac{4}{9} }\)

Hence, \((\sqrt[9]{x })^{4}\) is not equivalent to the given expression

Thus, the choices that are equivalent to the given expression are

A. \(\sqrt[4]{x^{9} }\)

B. \((x^{9} )^{\frac{1}{4} }\)

E. \((\sqrt[4]{x })^{9}\)

Learn more on Indices here: https://brainly.com/question/8957448

#SPJ1

Answer:

Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.

Step-by-step explanation:

The height of the cone is 24 cm.

The distance along the curved surface, measured from the edge at the top to a point on the circumference of the circle at the base, is known as the slant height of an object (such as a cone or pyramid). In other words, the slant height, represented either as s or l, is the shortest distance that may be traveled along the surface of the solid.

Slant height(l)=26cm

Radius(r)=10cm

It is known that, \(l^{2}=r^{2}+h^{2}\)

Here, h is the height of the cone.

On substituting the values,

\(26^{2}= 10^{2}+h^{2}\)

\(\\676=100+h^{2}\\\)

\(h^{2}=676-100\\\)

\(h^{2}=576\\\)

\(h=\sqrt{576}\\\)

h=24

Learn more about height here:

https://brainly.com/question/1739912

#SPJ4

The factorization of the expression is -3(1+3z+7y+0.8)

Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor a number means to break it up into numbers that can be multiplied to get the original number.

in the expression, -3 −9z−21y−2.4, it is discovered that -3 is a common factor in all the terms.

Therefore dividing all the terms by -3 and bring -3 out of parentheses we have -3(1+3z+7y+0.8)

learn more about factorization from

https://brainly.com/question/22048677

#SPJ1

Answer:

100

Step-by-step explanation:

45 degrees from I to H +55 degrees from H to G

Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

Know more about a parent function here:

https://brainly.com/question/27784114

#SPJ4

Answer:

64,339 = π(r^2)(20)

r^2 = 1,023.987

r = 32 ft

Answer:

a) 3x + ky = 8

ky = 8 - 3x

x – 2ky = 5

x - 2(8 - 3x) = 5

x - 16 + 6x = 5

7x = 21

x = 3 (shown)

b) x-2ky = 5

sub x = 3, y = 1/2

3-2k(1/2) = 5

-2k = 2

k = -1

Answer:

No, the building manager cannot purchase only one material. The maximum amount he can spend is $250, and 200 square feet of gravel would cost $400, which is more than the budget allows. Similarly, 200 square feet of mulch would cost only $50, which is far less than the budget allows.

Step-by-step explanation:

Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²

Here,

For each secant, the sum of the lengths from R to the circle's intersection points is the same:

=>RS*RT = RQ*RP

=>40(40 +31) = (44)(PQ +44)

=>40(71)/44 = PQ +44

=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

=>PQ ≈ 20.5

Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.

To know more about circle , visit

brainly.com/question/29142813

#SPJ1