Mathematics College

PLEASE ANSWR I WILL GIVE 50 POINTS!!!!!
Which expression is equivalent to (1/ sqrt of y) ^-1/5 ?

Answers

Answer 1

Step-by-step explanation:

sqrty = y^(0.5)

1 / sqrty = y^(-0.5).

-1/5 = -0.2.

Therefore we have (1 / sqrty)^(-1/5)

= [y^(-0.5)]^(-0.2)

= y^[(-0.5)(-0.2)] (Law of indices)

= y^0.1

= 10th square root of y. (2nd option)

Answer 2

Answer:

1/sqrt 10th y

Step-by-step explanation:

1/(sqrt9)

19/76sprt

Related Questions

Type the expression that results from the following series of steps:
Start with n and divide by 2.

Answers

the expression is n/2

I need to Determine which two whole numbers each problem lies between. The number is 10/3

Answers

Answer:

I am not sure.

Step-by-step explanation:

Find the value of 7C7

Answers

Step-by-step explanation:

If there were 7 items, the number of ways to choose 7 out of the 7 items is only 1 way, which is to get all of them.

=> 7C7 = 1.

Can someone please help me :(

Answers

Answer:

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

Answer:

x=7

Step-by-step explanation:

2x + 1 = 15

-3x+6 = - 15

Since they are equal the equation is true

Simplify (X^5/8)^2/3

Answers

Answer: Its x5/12

Step-by-step explanation: Hope this helps!!1 <3

If 3 times the difference of x and y is -30, and 2/3 of x plus 1/2 of y is 19, what are x and y

Answers

Answer:

x = 12 and y = 22

Step-by-step explanation:

It is given that,

3 times the difference of x and y is -30

3(x-y) = -30

3x-3y = -30 ....(1)

2/3 of x plus 1/2 of y is 19.

[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]

Add equation (1) and (2).

3x-3y + 4x+3y = -30 +114

7x = 84

x = 12

Put the value of x in equation (1)

3x-3y = -30

3(12)-3y = -30

36+30 = 3y

3y = 66

y = 22

Hence, the value of x and y are 12 and 22.

What equation represents the proportional relationship displayed in the table ?

Answers

Answer:

y=5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you divide each y-value by its corresponding x-value, you get 5.

For example, 10/2 = 5; 20/4 = 5

y is always 5 times x.

y = 5x

Answer: 5

Find the zero of the function.
f(x)= 4x^2– 12x+9

Answers

Answer:

The zero is x = 3/2 = 1.5

Step-by-step explanation:

We recognize that the trinomial 4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:

(2 x - 3)^2

Therefore, the zeros are the x-values that verify the following:

(2 x - 3)^2= 0

that is (2 x - 3) = 0 and solving for "x":

2 x = 3

x = 3 / 2

x = 1.5

Evaluate the following expression.
(-5+7 x 1)-9x5

Answers

Answer:

Step-by-step explanation:

The answer is -43 ......

[tex]\frac{d}{dx} \int t^2+1 \ dt[/tex]
There is a 2x on the bottom and x^2 on top of the integral symbol
Please help me my teacher did not teach us this:(

Answers

Answer:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]

We can use Part I of the Fundamental Theorem of Calculus:

[tex]\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}[/tex]

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}[/tex]

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

[tex]\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

[tex]\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}[/tex]

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

[tex]\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}[/tex]

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

[tex]\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u][/tex]where u represents any function other than a variable

For the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace

[tex]\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)[/tex]

Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.

[tex][-(8x^2 +2)] + (2x^5 + 2x)[/tex] [tex]-8x^2 -2 + 2x^5 + 2x[/tex]

Rearrange the terms to be in order from the highest degree to the lowest degree.

[tex]\displaystyle2x^5-8x^2+2x-2[/tex]

This is the derivative of the given integral, and thus the solution to the problem.

a grandfather is nine times older than his granddaughter. in 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Answers

Answer:

Length [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

Identify the graph that displays the depth of water in a swimming pool after the drain is opened.

Answers

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

Step-by-step explanation:

URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))

Answers

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

plz help!! will give brainliest!!

Answers

I think it might be c correct me if I am right.

help again again again

Answers

Answer:

it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up

the answer is the last choice

Find sin θ. Right Triangle Trigonometry.

Answers

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Substitute [Sine]: sinθ = 16/20

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

-2 + 0.4x = -0.2(4x+22)
solve

Answers

x= -2
(mark brainliest if correct pls)

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.

The temperature in a chemical reactor was measured every half hour under the same conditions. The results were 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.
the mean ?

Answers

Answer:

72.2

Step-by-step explanation:

The mean of the data is 78.98.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

For example,

To calculate the mean,

= (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores =(47 / 7 = 6.7).

Given:

Data: 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.

Now, the mean of the data

= Sum of data/ Total number of data

= 78.1+ 79.2+ 78.9+ 80.2+ 78.3+ 78.8+ 79.4 / 7

= 552.9/7

= 78.98

Hence, the mean of the data is 78.98.

Learn more about Mean here:

https://brainly.com/question/15323584

#SPJ2

Evaluate 32 divided by 1.6
show work long division