Which expression is equivalent to ^3√×^5y?​

Answer:

169

Step-by-step explanation:

Perimeter of a rectangle= 2(length+breath)

2(18 + 8)

2(26)

52.

A square has four equal sides.

The length will be determined by dividing 52 by 4

\(52 \div 4 = 13\)

The length is 13.

Since the area of a square is

\( {l}^{2} = {13}^{2} \)

L is length.

The answer is

\( {169}^{2} \)

Rate of change of y = \(\frac{5}{4}x+1\) is 5/4.

The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time.

Given that the expression, y = \(\frac{5}{4}x+1\).

To find the rate of change,

first we make the equation in standard form.

Slope intercept form ;

(y₂ - y₁) =m (x₂ -x₁) + c

Comparing the expression to the standard form;

Here, x intercepts: ( -4/5 , 0) and y intercepts: (0,1)

Rate of change = (y₂ - y₁) / (x₂ -x₁)

Rate of change = 5/4

Therefore, rate of change of y = \(\frac{5}{4}x+1\) is 5/4.

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Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

The sum of decimal fractions that the value 0.548 represents is

\(\frac{3}{10}+ \frac{24}{100} +\frac{8}{1000}\)

Given the decimal value, it can also be expressed as the sum of decimals as shown;

\(0.548 = 0.3 + 0.24 + 0.008\)

0.3 is to the nearest tenth

0.24 is to the nearest hundredth

0.008 is to the nearest thousandth

Express the decimals as fractions as shown

\(0.3=\frac{3}{10}\\0.24=\frac{24}{100}\\0.008=\frac{8}{1000}\)

Substitute the fractions into the expression above to have:

\(0.548 = \frac{3}{10}+ \frac{24}{100} +\frac{8}{1000}\)

Hence the sum of decimal fractions that the value 0.548 represents is

\(\frac{3}{10}+ \frac{24}{100} +\frac{8}{1000}\)

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The function third represents the same domain and range as the provided function option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

\(\rm f(x) = -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{x}\)

The domain will be all real numbers and the range will be y<0

In the function:

\(\rm f(x)= -\dfrac{5}{7}\left(\dfrac{3}{5}\right)^{-x}\)

The domain will be all real numbers

The range will be y<0

Thus, the function third represents the same domain and range as the provided function option second is correct.

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There wouls be 18 geese in the pond

Hope this helps :)

Answer:

Rhonda earned: $72

Anne earned: $52

Step-by-step explanation:

divide $124 by 2 = 62

subtract 10 from 62 = $52 (Anne)

add 10 to 62 = $72 (Rhonda)

Answer:

7/8

Step-by-step explanation:

rate of change = slope

8y = 7x+56

divide both sides by 8: y = 7/8x+7

rate of change = 7/8

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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With placing positive integers around the circle. Yes, there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17.

What exactly is a circle?

A circle is a kind of ellipse with zero eccentricity and two foci that are coincident. A circle is also known as the locus of points drawn at equal distances from the center. The radius of a circle is the distance from its center to its outside line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.

The equation for a circle in the plane is:

(x-h)^²+ (y-k)² = r²

When the coordinate points are (x, y)

(h, k) is the coordinate of a circle's center.

where r is the circumference of a circle.

where circle area = πr²

Circle circumference=2πr

Now,

First 10 positive integers

that are 1,2,3,4,5,6,7,8,9,10

after putting these in circle 1 and 10 will be adjacent

and

To prove :-there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17 .

Now as sum of =5+6+7=18

6+7+8=21

7+8+9=24

Hence,

           There exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17.

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The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Answer:

The ball travel horizontally before it hit the ground is 34.22 feet.

Step-by-step explanation:

Given that,

Height = 3 feet

Angle = 24 °

Initial velocity = 110 feet/s

We need to write a parametric equation for the flight of the ball

Using given data

\(r(t)=u\cos\theta\times t\hat{i}+(h+(u\sin\theta)t-\dfrac{1}{2}gt^2)\hat{j}\)

Put the value into the formula

\(r(t)=110\cos24\times t\ i+(3+110\sin24\times t-\dfrac{1}{2}32t^2)j\)

\(r(t)=100.4t(i)+(3+44.7t-16t^2)j\)

Now, on differentiating w.r.to t

\(v(t)=100.4i+(44.7-32t)j\)....(I)

We need to calculate the time

Using equation (I)

If y'(t)=0, then the ball will be at maximum height

So, \(y'(t)=44.7-32t\)

Put the value of y'(t)

\(44.7-32t=0\)

\(t=\dfrac{44.7}{32}\)

\(t=1.4\ sec\)

We need to calculate the maximum height

Using equation of motion

\(y(t)=h+ut-\dfrac{1}{2}gt^2\)

Put the value into the formula

\(y(1.4)=3+44.7\times1.4-16\times(1.4)^2\)

\(y(1.4)=34.22\ feet\)

Hence, The ball travel horizontally before it hit the ground is 34.22 feet.

Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Value of Cos(70 degree) = 0.34202014

degree/radian:

(angle in degree) (angle in radian)

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:93% not sure

Step-by-step explanation:

Solution of 1 1/2 + 2 3/7 is 3 13/14

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given expression,

1 1/2 + 2 3/7

it can be written as

= 3/2 + 17/7

= (21 + 34)/14

= 55/14

= 3 13/14

Hence,  3 13/14 is the solution of 1 1/2 + 2 3/7

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PURCHASE REQUEST FORM

Date: [Insert date]

To: [Insert name of procurement officer]

Subject: Purchase of Electrical Materials for Repair of Non-Functional Lights

We would like to request the procurement of the following electrical materials for the repair of the non-functional lights along the hallway of the office:

3 sets of new fluorescent lamp at 40 watts each at Php 250.00 pesos each

20 meters of stranded copper wire number 14 at Php 20.00 pesos per meter

3 new sets of flush type single pole switch at Php 100.00 pesos each

The total cost of the materials is Php [Insert total cost].

Please process the request as soon as possible so that we can proceed with the repair works. Thank you for your attention to this matter.

Sincerely,

[Insert your name]

[Insert your designation]

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer: 420 words

Step-by-step explanation:

First find how much he did the first day by doing 1/5*2400=480.

Then find out how much he did the second day by doing 2400-480=1920, then doing 1920*(2/3)=1280.

Then, because he did 220 words the third day, simply do 2400-480-1280-220=420.

Hope it helps <3

Ans420 words per min

Step-by-step explanation:

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Answer:

\(y < -\frac{4}{5} x+4\)

Step-by-step explanation:

To graph the equation, draw the line \(y = -\frac{4}{5} x+4\) and shade in the lower left part of the graph under the line to illustrate the inequality

Then pick two points to test

Answer:

the answer is k=1

Step-by-step explanation:

Given the following mixed number:

4 18/20

Let's determine its decimal equivalent.

4 18/20 = 4 + (18 ÷ 20) = 4 + 0.9 = 4.9

Answer:

4.9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.