Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.

The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

For the given question;

The backyard of Jim is in the shape of the rectangle.

The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;

The area of the rectangle yard is;

Area = length x width

Area = 95/6 x 52/5

Area = 76 sq. yd.

The dimension of the sod in pieces are -

Area of each sod is -

Area = length x width

Area = 11/3 x 11/3

Area = 121/6 sq. yd.

Thus, the total umber of the sods required for the yard is;

Number = 76 sq. yd. /  121/6 sq. yd.

Number = 3.76 ≈ 4

Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.

To know more about the unitary method, here

https://brainly.com/question/24587372

#SPJ10

Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.

Algebraic expression is equal to

Solve for y

The ​x-coordinate of point R′ after dilation is 3

The given parameters are:

R(2,−1),S(3,3), and T(4,6).

The scale factor of dilation is given as

Scale factor = 1.5

Mathematically, this transformation can be represented as

(x, y) = 1.5(x, y)

When represented as a function, we have

Image = 1.5 * Point

For point R, we have

R = (2, -1)

Substitute the equation Point =  (2, -1) in the equation Image = 1.5 * Point

So, we have the following equation

R' = 1.5 * (2, -1)

Evaluate the product

R' = (3, -1.5)

Remove the y-coordinate

R'x = 3

Hence, the image of the x cooridnates is 3

Read more about dilation at

brainly.com/question/3457976

#SPJ1

The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

To know more about the triangle refer to the link given below:

brainly.com/question/1058720

#SPJ1

(a) The 1st term of the arithmetic progression is 9

(b) The common difference of the arithmetic progression is -4

(c) The 15th term of the arithmetic progression is -47

The nth term of an arithmetic progression is given by

aₙ = a + (n - 1)d

Where a is the first term

and d is the common difference

From the given information,

a₁₁ = -31

and

a₂₁ = -71

But

a₁₁ = a + 10d

and

a₂₁ = a + 20d

Thus,

a + 10d = -31          ------------ (1)

a + 20d = -71         ------------ (2)

Subtract equation (1) from equation (2)

a + 20d = -71

a + 10d = -31

---------------------------

10d = -40

d = -40/10

d = -4

Substitute the value of d into equation (1)

a + 10d = -31

a + 10(-4) = -31

a - 40 = -31

a = -31 + 40

a = 9

Also,

a₁₅ = a + 14d

Substitute the values of a and d

a₁₅ = 9 + 14(-4)

a₁₅ = 9 - 56

a₁₅ = -47

Hence, the first term is 9, the common difference is -4 and the 15th term is -47

Learn more on Arithmetic progression here: https://brainly.com/question/24989563

#SPJ1

Given: The trigonometry shown in the image

To Determine: The exact values of the six trogonometric functions of each angle shown

Solution

It can be observed that

Therefore

Answer:

1 hour and 40 minutes

Step-by-step explanation:

60 minutes in an hour

we have 100 minutes

100 - 60 = 40

in 100 minutes we already have 1 hour

now we have 40 minutes left

can 40 minutes make another 60?

No.

so 100 minutes make

The input and output is follows,

4     4 * 20 + 40

17    18 * 20 + `70

t      t+1 * 20 + (t * 10)

How to Recognize Patterns :

Therefore,

i.e.. input number is 2 then the first number of output is 2+1 = 3

i.e. . input number is 2 then the third number of output is 2 * 10 =  20

To learn more about Pattern refer :

https://brainly.com/question/17386984

#SPJ13

A value that, when multiplied by itself, yields the number is the square root of a number.

The expression which is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex] is 16/49.

A radical symbol is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.

A value that, when multiplied by itself, yields the number is the square root of a number. The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

Therefore, the correct answer is option A. [tex]$\frac{16}{49}$[/tex]

The complete question is:

Which answer is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex]?

A. [tex]$\frac{16}{49}$[/tex]

B. [tex]$\frac{\sqrt{4}}{\sqrt{7}}$[/tex]

c. [tex]$\sqrt{\frac{16}{49}}$[/tex]

D. [tex]$\frac{\sqrt[3]{16}}{\sqrt[3]{49}}$[/tex]

To learn more about square root refer to:

https://brainly.com/question/11388449

#SPJ13

Answer:8% started saving at or before 21

30% believe their children or grandchildren should start saving at or before 21

Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements

That is 3%+5%=8%

The second solution goes thus

13%+17%= 30%

the ones in dark colors believe their children or grandchildren should start saving before 21

A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.

How do you calculate hypothesis example?

       To learn more about hypotheses refer

        https://brainly.com/question/25263462

         #SPJ4

Answer: No the input 3 has two out puts

Step-by-step explanation:

Use ur eyes

Answer:

Explanation:

An exponential decay function is generally given in the below;

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

When t = 8, let's go ahead and solve for y;

Answer: man

why bro

Step-by-step explanation:

The intensity of the dishwasher will be 44.44 times the maximum intensity.

Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Mathematically, we can write the intensity of sound as -

[tex]\mathrm {I} =2\pi ^{2}\nu ^{2}\delta ^{2}\rho c[/tex]

Given is the sound intensity as measured in decibels and its measurement for a dishwasher is 37 decibels.

The given formula is -

db = 10 log(I/I₀)

Substituting the values, we get -

37 = 10 log(I/I₀)

log(I/I₀) = (37/10)

log(I/I₀) = (37/10)

(I/I₀) = e ^ (37/10)

I/I₀ = 40.44

I = 40.44I₀

Therefore, the intensity of the dishwasher will be 44.44 times the maximum intensity.

To solve more questions on wave intensity, visit the link below-

https://brainly.com/question/20481564

#SPJ1

A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.

Given that,

A pilot who is flying at a height of 528 feet must land because of a storm.

We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.

In the right angle triangle:

TanΘ=Opposite side/ adjacent side

The opposite side is 528 feet.

The adjacent side is 2000 feet.

Then,

TanΘ=528/2000

TanΘ=0.264

Θ=Tan⁻¹(0.264)

Θ=14.78°

Therefore, 14.78° angle of depression should he utilize to land.

To learn more about angles visit: https://brainly.com/question/28451077

#SPJ4

Answer:

$6825.

Step-by-step explanation:

Price in the sale

= 7800 - 12.5% of 7800

= 7800 - 1/8 * 7800

= 7800 - 975

= $6825.

Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.

The issue with the Duke of Tuscany (1560)

The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.

Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.

In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.

To Learn more About probability, Refer:

https://brainly.com/question/24756209

#SPJ13

Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet

The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.

The scale can therefore be shown by the ratio:

56 feet : 84 inches

If the number of inches is 3 then the number of feet in the scale would be:

56 feet : 84 inches

x feet    :  3 inches

Cross-multiplying gives:

84x = 168

x = 168 / 84

x = 2 feet

Find out more on scales at https://brainly.com/question/25324744

#SPJ1

The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.

An arithmetic sequence has a constant difference (d) and is defined by

a(n) = a(1) + (n-1)d          ----------- (1)

Here a(1) = 33, a(2) = 25, a(3) = 17

d = a(2) - a(1)

d = 25 - 33 = -8

Substitute the values in (1)

a(n) = 33 + (n-1)(-8)

a(n) = 33 - 8n + 8

a(n) = -8n + 41              ------------- (2)

We have to find a(4) and a(5)

Substitute n = 4 in (2), we get

a(4) = -8(4) + 41 = -32 + 41 = 9

Substitute n = 5 in (2), we get

a(5) = -8(5) + 41 = -40 + 41 = 1

Hence the next two terms are 9, 1.

To learn more about Arithmetic sequence here

https://brainly.com/question/10396151

#SPJ1

Considering the given frequency polygon, the mean of the distribution is of:

E(X) = 57.1.

The frequency polygon works similarly to an histogram, giving the number of times that each observation happens, with the dot being placed at the center of each interval.

Considering the given polygon, the absolute frequencies are given as follows:

The sum of the absolute frequencies is given as follows:

10 + 7 + 8 + 2 + 3 = 30.

Hence the relative frequencies = probabilities are given as follows:

The mean is given by the sum of each outcome multiplied by it's probability, hence:

E(X) = 40 x 0.3333 + 52.5 x 0.2333 + 65 x 0.2667 + 77.5 x 0.0667 + 90 x 0.1 = 57.1.

More can be learned about frequency polygons at https://brainly.com/question/18340015

#SPJ1

Answer:

no

Step-by-step explanation:

- 3.5 is a negative number.

17/15 is a positive number.

Note : -

Always positive numbers are greater than negative numbers.

The equations that are equivalent to the expression are 15b = 25.6 - 4.6

and 15b =21

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.

Given the linear equation below;

0.6+15b+4=25.6

Simplify to have;

0.6+15b+4=25.6

15b + 4.6 = 25.6

15b = 25.6 - 4.6

15b =21

Divide both sides by 15

b = 21/15

b = 1.4

This gives the solution to the given linear equation

Learn more on linear equation here: https://brainly.com/question/14323743

#SPJ1

The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)

Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:

z = r · (cos θ + i sin θ)

r = √(a² + b²)

θ = tan⁻¹ (b / a)

Where:

If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:

r = √[(- 9)² + (- 9√3)²]

r = 18

θ = tan⁻¹ √3

θ = 4π / 3

The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].

To learn more on complex numbers: https://brainly.com/question/20566728

#SPJ1

The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.

Answer:

[tex] {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} [/tex]

Answer:

Increase

Step-by-step explanation:

You start at 15 yards then proceed to MOVE UP(Increase) 3 more yards getting you to 18.

Answer:

increase

Step-by-step explanation:

because your going 3 more yards on a number line you would travel right

ANSWER

x = 4; 5x + 1 = 21

EXPLANATION

First, we have to find the value of x using the given equation,

To do so, divide both sides by 2,

Now, with x = 4, replace it into the expression given to find its value,

Hence, the value of the expression is 21.