Holly drew the parallelogram below to represent the design of her new garden. A parallelogram with base b and height h. She found that the area of the garden will be 127 and one-half square feet by using the equation Area = b h. If the height, h, of the parallelogram-shaped garden is 8 and one-half feet, what is the base, b, in feet? 1.5 7.5 15 75

2 1/4 miles => 1 week

1 mile => 1 ÷ 9/4

( 9/4 is an improper fraction of 2 1/4 )

12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2

= 50/9

= 5 5/9 weeks

( 25/2 is an improper fraction of 12 1/2 )

Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.

( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )

Answer:

Perpendicular

Step-by-step explanation:

It js seems right. i did one very similar and the awnser was Perpendicular

Answer:

He has to pay 14427.21 rupees.

Step-by-step explanation:

1. 13% of 16583 = 2155.79

2. 16583 - 2155.79= 14427.21

3. Has to pay 14,427.21 rupees

The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where \((x_1,y_1)\) and \((x_2,y_2)\) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

\(m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5\)

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

\(y=5x+b\)

Now, determine the y-intercept.

\(y=5x+b\)

⇒ Plug in one of the given points:

\(6=5(2)+b\\6=10+b\\b=-4\)

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

\(y=5x-4\)

\(y=5x-4\)

Answer:

2.88 is the answer ok bye

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Work Shown:

\(m=\text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{2*98}\\\\m = \sqrt{196}\\\\m = \sqrt{14^2}\\\\m = 14\\\\\)

The geometric mean of two numbers has us do two steps in this order

The geometric mean can be applied to more than two values. Regardless of how many values you have, you always multiply them out. However, the number of values will tell you what kind of root you'll take (eg: 3 values leads to a cube root; 4 values means you'll take a fourth root, etc).

Answer:

Two slots, numbered 0 and 00, are green.  

What are the odds against a red slot's coming up on any spin of the wheel?

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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Explanation

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

the function given are lines, in the form

so, when the values of its range decrease as the values in its domain increase

in other words

when x increase , y decrease, it is a negative slope, then

I hope this helps you

Answer: The mean is equal to the median.

Step-by-step explanation:

Median is the middle value of a given data set. In asymmetric distribution, the data on the left side of the median is equal to the data on the right side of the median. Therefore, the mean of that data is equal to the median of the symmetric distribution.

Answer:

6

Step-by-step explanation:

Given, 3sin2x−7sinx+2=03sin2⁡x-7sin⁡x+2=0

⇒(3sinx−1)(sinx−2)=0⇒3sin⁡x-1sin⁡x-2=0

⇒sinx=13 or 2⇒sin⁡x=13 or 2

⇒sinx=13    [∵sinx≠2]⇒sin⁡x=13    [∵sin⁡x≠2]

Let  sinα=13,0<α<π2,sinα=13,0<α<π2, then sinx=sinαsinx=sinα

now x=nπ+(−1)nα(n∈I)x=nπ+(−1)nα(n∈I)

⇒x=α,π−α,2π+α,3π−α,4π+α,5π−α⇒x=α,π−α,2π+α,3π−α,4π+α,5π−α Are the solution in [0,5π][0,5π]

Hence, required number of solutions are 6

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

The two ways the excretory system helps the body maintain homeostasis are:  

1.Osmoregulation

2.Thermoregulation

The body maintains homeostasis by Osmoregulation and Thermoregulation.

It can also be done by the act of utilizing of  chemical regulation.

Note that the excretory system is made up pf organs that removes excess water and wastes from the body.

While  the urinary system helps to keep homeostasis by monitoring  blood composition and volume.

Hence, The two ways the excretory system helps the body maintain homeostasis are:  

1.Osmoregulation

2.Thermoregulation

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The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

1. 3/4 = 0.75

2. 49/4 = 12.25

3. 4/3 = 1.3333

4. 27

5. 6

6. 28

7. 18

8. 7

9. 3

10. 21/4 = 5.25

{[12 ÷ 4] + [16 ÷ 8 (7 – 5)]} – 1.

{[3] + [2(2)]} – 1.

{[3] + [4]} – 1.

7-1

6

\(x^2-3x+2=0\\x^2-x-2x+2=0\\x(x-1)-2(x-1)=0\\(x-2)(x-1)=0\\x=2 \vee x=1\\\\x^2=4 \vee x^2=1\)

Answer:

Step-by-step explanation:

First we try to factor x²-3x+2.

We have to look for two numbers that multiply to 2 and add -3.

The two numbers are -1 and -2.

(x-1)(x-2) = 0

x-1 = 0 -> x = 1

x-2 = -> x = 2

Now we find x^2.

(1)^2 = 1

(2)^2 =4

Answer:

The answer is 5

Step-by-step explanation:

You divide 175 divided by 7 to find the hourly rate of how many oranges Leah peels. 60 minutes are in a hour. So 12 times 5 is 60. If 175 divided by 7 is 25. And that's hour much she peels in an hour. You divide it by five to find the 12 minute rate, because 12 times 5 is 60 that is equivalent to your hourly rate.

Answer:

Step-by-step explanation:

--> If 7 hrs= 175 oranges

1 hr= 175/7=25

1hr= 60 minutes

So, leah can peal 25 oranges in 60 mins.

Let the number of oranges peeled in 12 mins be x.

60x=25*12

x= 25*12/60

x=300/60

x=5

Leah can peel 5 oranges in 12 minutes,

Answer:

D. WSR

Explanation:

A vertical angle is also known as a vertically opposite angle refers to the pair of angles formed when two lines intersect one another. These pair of angles are congruent and are opposite one another

From the diagram and in the light of the explanation above, the vertical angle to UST is WSR

Therefore, option D is the answer

514.8 your welcome

All you have to do is multiply 19.8 x 26

Answer:

x=1/2

Step-by-step explanation:

The expression can be simplified to obtain as 9 + 6t.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is 9 + 12t – 6t.

It can be simplified as follows,

9 + 12t – 6t

Here 9 is a constant.

And, the terms 12t and 6t have the same variable t.

Which implies they are like terms.

Since the like terms in an expression can be added to subtracted, the given expression can be simplified as below,

9 + 12t – 6t

⇒ 9 + 6t

Hence, the simplification of the given expression results as 9 + 6t.

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The graph of the cost function is

Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.

Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.

Let y be the cost for data consumed.

Let x be Gb of data consumed.

Cost function of Cronus is y = 8x

Cost function of Zeus is y = 10+3x

Graph of both the companies is

where green line denotes the graph for Cronus and red line denotes the graph for Zeus.

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The volume of the cone is 144π units³.

The volume of a cone can be calculated as follows:

volume of a cone = 1 / 3 πr²h

where

Therefore, the height of the cone is 27 units and the radius of the cone is given as 4 units.

Let's find the volume using the formula,

r = 4 units

h = 27 units

Therefore,

volume of a cone = 1 / 3 πr²h

volume of a cone = 1 / 3 × π × 4² × 27

volume of a cone = 1 / 3 × π × 16 × 27

volume of a cone = 432 / 3 π

Therefore,

volume of a cone = 144π

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The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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