Mr. cooper graden is 28 feet long and 4 feet wide what is the area of his graden

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

This equation is in standard form, so to make graphing easier you need to put it in y=mx+b form or slope, intercept form.

Step-by-step explanation:

I have attached a photo of what the graph would look like.

However, in the future you should know how to turn this into a slope intercept equation.

-2x+7y=-21

+2x        +2x

7y=2x-21

divide the entire equation by 7

y= 2/7x-3

That is a full equation in slope intercept form.

Hopefully this helps!

The graph of the linear equation -2x + 7y = -21 is a line passing through the points (0, -3) and (10.5, 0) which is given below.

Given a linear equation:

-2x + 7y = -21

It is required to graph the linear equation.

In order to graph this, first, it is required to find the points through which it passes.

Substitute x = 0.

7y = -21

y = -3

So, the line passes through (0, -3), which is the point where the line touches the y-axis.

Substitute y = 0.

-2x = -21

x = 10.5

So, the line passes through (10.5, 0), which is the point where the line touches the x-axis.

Draw a line passing through these points. This is the graph.

Hence, the line passes through the points (0, -3) and (10.5, 0).

Learn more about Linear equations here :

https://brainly.com/question/28494690

#SPJ6

Answer:

x+12 / 12-x im pretty sure but i dont know

Step-by-step explanation:

hope this helps? <3

Answer:

(x < 12) / x + 12

Step-by-step explanation:

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

To know more about percentage visit:

https://brainly.com/question/29306119

#SPJ1

Given parametric equations: x(t) = t^2 + 7t + 6 and y(t) = -2t - 7. The endpoints of the parametric curve are -1 and -7, respectively. The line

joining the endpoints is given by: y = -2x - 5.Area of the region:To find the area of the region, we need to evaluate the following definite integral over the interval [-7, -1]:A = ∫[-7,-1] y(t)x'(t) dtA = ∫[-7,-1] (-2t - 7)(2t + 7 + 7) dtA = 1/3 [(2t + 7 + 7)^3 - (2t + 7)^3] [-7,-1]A = 156.25Moments of area about the

coordinate axes:To find the moments of area, we need to evaluate the following integrals:Mx = ∫[-7,-1] y(t)^2x'(t) dtMy = -∫[-7,-1] y(t)x(t)x'(t) dtUsing the given parametric equations, we get:Mx = 223.56My = -223.56Location of the centroid:To find the coordinates of the centroid, we need to divide the moments of area by the area:

Mx_bar = Mx/A = 223.56/156.25 = 1.4304My_bar = My/A = -223.56/156.25 = -1.4304Therefore, the centroid of the region is at (1.4304, -1.4304).Hence, the main answer is as follows:Area of the region = 156.25Moments of area about the y-axis = 223.56Moments of area about the x-axis = -223.56Centroid at (1.4304, -1.4304).

To know more about Exponential functions visit :-

https://brainly.com/question/29287497

#SPJ11

Answer:

Question 9)

It is not possible.

Question 10)

The shortest route (moving only vertically/horizontally) will take .25 miles.

From A(2, 4), we translate two units to the left.

And from A'(0, 4), we translate three units downwards to arrive at A''(0, 1).  

Step-by-step explanation:

Question 9)

We are given the three collinear points A(-2, 3), A'(x, y), and A''(3, 7).

We want to determine (if possible) the values of x and y.

Since the three points are collinear, the slope from any point to another must be equivalent to each other.

So, using the to known points A(-2, 3) and A''(3, 7), we can determine the slope to be:

\(\displaystyle m=\frac{7-3}{3-(-2)}=\frac{4}{5}\)

So, the slope between A and A' should be 4/5. So:

\(\displaystyle m=\frac{y-3}{x+2}=\frac{4}{5}\)

By cross-multiplication, we acquire:

\(4x+8=5y-15\)

Unfortunately, it is now impossible to determine the values of x and y. Any values of x and y that satisfy the above equation can be the values for A'.

Two examples are given:

Say that x = 0. Then by our equation, y is:

\(4(0)+8=5y-15\Rightarrow y=4.6\)

So, a possible point for A' is (0, 4.6).

Now, say that y = 0. Then by our equation, x is:

\(4x+8=5(0)-15\Rightarrow x=-5.75\)

So, another possible point for A' is (-5.75, 0).

You can substitute any number for x and solve for y or vice versa and you will get a unique point. Hence, we do not have enough information to solve for x and y.

The same result applies if you do the slope between A' and A''.

Question 10)

I'm assuming we can only move horizontally or vertically.

So, from our starting point A(2, 4), we can move two units to the left to arrive at A'(0, 4).

Now, we can move three units downwards to arrive at the post-office at A'' (0, 1).

In total, we moved 2 + 3 = 5 grids. So, we traveled a total of 5(0.05) or 0.25 miles.  

Answer:

(-∞,∞) is your answer sorry if it looks like a face

Step-by-step explanation:

Answer:

the plate diameter is 12 u just times the radius by 2

Step-by-step explanation:

The Routh Criterion Stability for the given polynomial equation S(S^2 + 8S + a) + 4(S + 8) = 0 is used to determine the stability of the system based on the coefficients a and the characteristic equation.

To apply the Routh Criterion Stability, we start by organizing the coefficients of the polynomial equation in the form:

S^3 + (8+a)S^2 + (4+8a)S + 32 = 0

The Routh array is constructed as follows:

1st row: 1 (8+a)

2nd row: 4+8a 32

3rd row: [Coefficient of S^2 in 1st row] [Coefficient of S^2 in 2nd row]

- (1st row, 1st element) * (2nd row, 2nd element) / (2nd row, 1st element)

Calculating the Routh array:

1st row: 1 (8+a)

2nd row: 4+8a 32

3rd row: (8+a) - (1)(32) / (4+8a) = (8+a - 32) / (4+8a) = (a - 24) / (4+8a)

According to the Routh Criterion Stability, for the system to be stable, all the elements in the first column of the Routh array must be positive. In this case, we have:

1 > 0 (always true)

4+8a > 0 (equation 1)

a - 24 > 0 (equation 2)

To determine the range of values for a, we solve equation 1 and equation 2:

4 + 8a > 0

8a > -4

a > -1/2

a - 24 > 0

a > 24

Combining the two inequalities, we find that a must satisfy:

-1/2 < a < 24

Therefore, for the system to be stable, the coefficient a must be within the range -1/2 < a < 24.

To learn more about polynomial click here:

brainly.com/question/11536910

#SPJ11

Based on the workers performance of consistently meeting orders for 100, 200, 275, and 325 widgets within the workday, it is likely that they will successfully complete the order for 350 widgets on Friday. However, fulfilling orders for 400 or 450 widgets may present a challenge and require additional resources or extended work hours.

Based on the information, it seems that the workers have been consistently meeting their production targets within the allocated time. They have successfully completed orders for 100, 200, 275, and 325 widgets within the workday.

Based on their previous performance, it is likely that the workers will continue to work diligently and efficiently to meet the order for 350 widgets on Friday.

However, meeting an order for 400 or 450 widgets may pose a challenge as it exceeds the previous order quantities.

The workers may need to work extra hours, increase their pace, or employ additional resources to complete these larger orders within the same time frame. It is important to consider the capacity and capabilities of the workers and the factory to determine if such larger orders can be fulfilled successfully.

To know more about workers performance refer here:

https://brainly.com/question/32722266#

#SPJ11

Answer:

5 or -8

Step-by-step explanation:

\((3 \times x) + x {}^{2} = 40\)

\(3x + {x}^{2} = 40\)

\( {x}^{2} + 3x - 40 = 0\)

using factorization method

\(( {x}^{2} + 8x) ( - 5x - 40) = 0\)

\(x(x + 8) - 5(x + 8) = 0\)

\((x - 5)(x + 8) = 0\)

\(x - 5 = 0\)

or

\(x + 8 = 0\)

\(x = 5\)

or

\(x = - 8\)

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

Answer:

Step-by-step explanation:

Answer:

To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.

Answer: -81.

Answer:

-81

Step-by-step explanation:

You subtract the absolute values and take the sign of the larger absolute value.

Absolute value is the distance from zero.  This will be a positive number

134 - 53 = 81

The sign will be negative because the sign of the higher absolute value number is negative.  134 has a larger absolute value than 53 and it is negative, so our answer is negative.

Helping in the name of Jesus.

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

(a) evaluate the limit, limx → −∞ (x + 2)2 / (2 − x)2,

The value of the limit is 1.

To evaluate the limit, limx → −∞ (x + 2)2 / (2 − x)2,  we shall make use of l'Hopital's rule theorem. The theorem says that if both the numerator and the denominator of the fraction are zero or infinity at a point, then the limit can be found by taking the derivative of both the numerator and the denominator and taking the limit again. Taking the first derivative of the numerator and the denominator, First, differentiate both the numerator and denominator.Let us differentiate the numerator and the denominator: [(x + 2)2]' = 2(x + 2) and [(2 − x)2]' = −2(2 − x) respectively. Now, we shall write the limit again:

limx → −∞ 2(x + 2) / −2(2 − x)

Then, the negative signs will cancel out, giving us: limx → −∞ (x + 2) / -(2 − x)

taking x come from numerator nad denominator limx → −∞ (x + 2) / (2 − x) = limx → −∞ (−∞ + 2) / (2 − (−∞)) = limx → −∞ (−∞ + 2) / ∞= −∞ Hence, the limit, limx → −∞ (1 + 2/x) / -(2/x − 1) = 1 (as 1/∞=0).

(b) Evaluate the limit, lim x → ∞ −x^4 + x^2 + 1 / e^2x

The value of the limit is 0.

To evaluate the limit, lim x → ∞ −x^4 + x^2 + 1 / e^2x, we shall also make use of l'Hopital's rule theorem. First, differentiate both the numerator and denominator. We shall differentiate the numerator and denominator. Let's find the derivative of the numerator and the denominator.- 4x3 + 2x / 2e2xTherefore, we write the limit again:limx → ∞ (−4x^3 + 2x) / 2e^2xOnce again, we differentiate the numerator and the denominator. Let's find the derivative of the numerator and the denominator.-12x^2 + 2 / 4e^2x

Now, we shall write the limit again:limx → ∞ (−12x^2 + 2) / 4e^2x

The limit as x approaches ∞ for 4e^2x will be infinity, because e^2x will always be positive for any x, no matter how large. Therefore, limx → ∞ (−12^x2 + 2) / 4e^2x = 0 / ∞ = 0Hence, the limit, limx → ∞ −x^4 + x^2 + 1 / e^2x = 0.

Learn more about l'Hopital's rule: https://brainly.com/question/24116045

#SPJ11

Answer:

f-9=12 Answer=20

24=g+14 Answer=10

Step-by-step explanation:

take the numbers you already have, let's start with the first equation:

f-9=12

find out what they are when you put them together

12+9=f

f=20

Second equation:

24=g+14

do the same, except subtract this time

24-14=g

g=10

Hope this helps (:

2. d - 2.5

4. 2n

6. 4(x + 1/2)

8. 2k + (s - 2)

10. 5(m / 2)

Answer:80

Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80

thanks for the question.the the answer is 0.0625

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

\(\large\huge\green{\sf{Question:-}}\)

\(\large\huge\green{\sf{Answer:-}}\)

\( \red {\mathbb{ \underline { \tt By \: Using\: Bodmas \: Rule}}}\)

➡1+1+3÷3

➡1+1+1

➡3

The required order of solution for the given system equation,
1 No solution
2 Many solutions
3 One solution
4 No solution

Given a system of equations,
(1)

y = 5x + 7
3y -15x = 18

Since the slope of the equations are equal so this equation has no solution

(2)

x - 2y = 6
3x - 6y = 18
Since the slope of the equations is equal and also has an equal intercept so this equation has many solutions.

(3)

y=3x+6
y = -1/3x - 4
The slope of the equation of this line is the negative reciprocal of the other implying these lines are perpendicular to each other and have one solution.

(4)
y = 2/3x -1
y = 2/3x -2
Since the slope of the equations is equal so this equation has no solution.

Learn more about the solution to the equation here:

https://brainly.com/question/14603452

#SPJ1

Answer:

2x + 4 = 20 + x

Step-by-step explanation:

X = 16

X+4 = 20

2x + 4 = 20 + x

Answer: p=1.333333

Step-by-step explanation:

Step 1: Subtract 7p from both sides.

2.5p+8−7p=7p+2−7p

−4.5p+8=2

Step 2: Subtract 8 from both sides.

−4.5p+8−8=2−8

−4.5p=−6

Step 3: Divide both sides by -4.5.

−4.5p

−4.5

=

−6

−4.5

p=1.333333

Answer:

4/3

Step-by-step explanation:

the probability that the distance between two randomly chosen points in a circle is less than the radius 1/3

Put the first point (P) somewhere on the circle (center O) - all the points are the same so it doesn’t matter where.

The other point (Q) will be somewhere on the circumference - length  2πr

It’s not clear if you want to measure distance around the circle or along a straight line.

If you measure around the circle, then there is an acceptable distance  r

 on either side of P and the probability is  2r/2πr=1/π

If you measure in a straight line, then Q can be a maximum distance r

 from P and OPQ is an equilateral triangle. We therefore have  60∘

 on each side of P and the probability is 120∘/360∘=1/3

To know more about probability, visit: brainly.com/question/30034780

#SPJ4