What is the perimeter of the trapezoid below

The area of the given right trapezoid ​is 40 ft².

Area of the trapezium = ½(a + b) × h

Given;

base 1 = 9 feet

base 2 = 7 feet

Height h = 5 feet

Area of the trapezium = ½(a + b) × h

Area = (9 + 7) x 5/2

Area = 16 x 5/2

Area = 8 x 5

Area = 40 Square feet.

Hence, the area of the given trapezium ​is 40 ft².

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the recommended range of water consumption is defined by the compound inequality:

14.84  ≤  x ≤ 38.28

The water utility charges a fixed amount of $38 plus $1.28 per hundred cubic feet of water. So, if you consume x hundred cubic feet of water, the cost is given by the linear relation:

$38 + $1.28*x

Now, this needs to be between $57 and $87 (values included) so we can write the inequality:

$57 ≤  $38 + $1.28*x ≤ $87

Now we just need to solve this for x. If you subtract $38 in both sides you will get:

$57 - $38  ≤  $1.28*x ≤ $87 - $38

$19  ≤  $1.28*x ≤ $49

Now we divide by $1.28 so we get:

$19/$1.28  ≤  x ≤ $49/$1.28

14.84  ≤  x ≤ 38.28

So to be in the recommended range of water consumption, your water consumption x must be in the range:

[14.84, 38, 28]

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Answer: How to solve your question

Your question is

4

(

+

5

)

−

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

−

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

−

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

4. Simplify

5. Divide both sides of the equation by the same term  

6. Simplify

Solution  

=

−

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:

-24p -8

Step-by-step explanation:

4(–6p − 2)

Distribute

4 * -6p -4*2

-24p -8

The right side stayed the same so ignore the right side

Left Hand Side:

1/4n - 5 - 4n + 3

= (1/4n - 4n) + (-5 + 3)

= (-15/4n) + (-2)

= -15/4n - 2

Ans: D

Answer:

Step-by-step explanation:

We get the following answers:

A) The least square regression line is:

yi = 88.73 - 2.827(xi)

B) The slope  is β₁ = -2.827 and The intercept is β₀ = 88.73.

C) e*₆ = -0.6964, final grade is below average grade.

E) It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

we have Xi = No of absences

Yi = Final grade

The regression model is

Yi = β₀ +  β₁Xi + i

β₀ = y -  β₁x

we have n = 10, x bar = 4.5 , y bar = 76.01

cov(x,y) = -23.325 and var(x) = 9.1667

therefore,  β₀ = 88.73 and  β₁ = -2.827

A) Least square regression line is given by:

yi =  β₀+ β₁Xi

yi = 88.73 - 2.827(xi)

B) The slope  β₁ = -2.827 which means when no of absence is increased by 1 duty then the final grade will decrease by 2.827

The intercept  β₀ = 88.73 when there are 0 days absence the average grade is 88.73

C) Predicted graph for student who misses five class periods is

x = 5

y*5 = 88.73 - 2.827(5) = 74.5964

Hence for corresponding residual is:

e*₆ = 73.9 - 74.5964

e*₆ = -0.6964, final grade is below average grade.

D) please see graph

E) when student miss 15 class periods the final grade will be

X = 5

y* = 88.73 - 2.827(15)

= 46

It would not be reasonable since no of absence increases the score decreases, it works well for small no of absences but will not work for large number of absences since it may give absurd final grade.

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

$1,408.21.

Step-by-step explanation:

Since it is compounded annually we could use the formula

A=Pe^rt

We know that the initial amount she deposits is $1200, as stated by the problem. That is our P.

e is well, the e in your calculator which is approximately: 2.7182818284590452353602874713527

r is the rate which is 8%, although you must convert this into a decimal, which would be 0.08 as your r.

Lastly, t is the time, so in this case, 2 years.

And then plug in the values.

A=1200(e)^(0.08)(2)

A=1200(e)^(0.16)

A=1200(1.173510870991810235018611086892)

A=1,408.2130451901722820223333042704

Now since it is a money problem we must put it in the correct format.

A=$1,408.21

Answer:

x^2-16

Step-by-step explanation:

A= (b)(h)

A= (x+4)(x-4)

x^2-4^2

x^2-16

From the given probability distribution, it is found that:

a) Yes. The events are distinct and the probabilities sum to 1.

b) The histogram is given at the end of the answer.

c) The mean is of 32.1.

d) The standard deviation is of 16.02.

Using the midpoint rule, the distribution is given as follows:

The outcomes are distinct, and their sum is of:

0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.

Hence it represents a probability distribution.

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

E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1

The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:

S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.

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Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

We need 7 pounds of cheese to make 28 dishes.

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Answer:

152.3

Step-by-step explanation:

area of a parralellogram is L×B

since a degree is given

it will make it

sin 65×14×12

sin 65=0.9063

so 0.9063×14×12

=152.3

Answer:

32 servings of cake

Step-by-step explanation:

so you are trying to figure out how much cake you can make if each box makes 12 servings

you have 8 eggs

2 cups of oil

4 boxes of cake mix

unlimited water

so each box needs 1/3 cup of oil, 3 eggs, and 1 cup of water.

you only have enough eggs to make 2 and 2/3 boxes of cake.

this means that you can make 32 servings of cake.

Answer:

you can make 12 cans of them

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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The interest earned in next 90 days is  $390.6.

The amount of money earned, in compound interest, after t years, is given by:

A= P\(( 1+ r/n)^{(nt)}\)

Given:

A = Amount

P = Principal = $28,214.35

r = rate = 0.055

n = number of periods=365

t = time in years=3/12= 1/4

Using compound interest formula

A= P\(( 1+ r/n)^{(nt)}\)

A(90)=  28,604.95\(( 1 + 0.055/365)^{(365 * 1/4)}\)

A(90)=28241.35 \((1.00015)^{(91.25)}\)

A(90)=  $28,604.95

So, the interest earned in next 90 days is

=28,604.95 - 28,604.95

= $390.6

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"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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Answer:

18

Step-by-step explanation:

If two people paint a wall, each will paint half of the sall

If jamie paints the entire wall in 54 minutes alone then he/she can paint half the wall in 54/2=27 minutes

The question said that it took 36 minutes all together, so if 27 minutes(jamies half) is subtracted from 36, we get that it took Connie 9 minutes for her half.

If connie paints an entire wall, then we multiply the time it took her( 9 minutes) by 2 to get 18 minutes.

Answer:

prob wrong but

first one is-3/4

second is 3/5 since you convert the decimal

Answer:

a

Step-by-step explanation:

The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

An equation is an expression used to show the relationship between two or more numbers and variables.

The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

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Answer:

small movement to the left followed by a large movement to the left.

Step-by-step explanation:

Answer:

TRUEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer:

The answer is 2^97

Step-by-step explanation:

I calculated it I am sure it is correct

Have a wonderful rest of your day,

Katharine Chavez

Answer:

The answer is 11

Step-by-step explanation:

55÷5= 11