PLS HELP

What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet

Answer:

Step-by-step explanation:

4x-5 = 3x

Answer:

[tex]\frac{112}{3}[/tex]

Step-by-step explanation:

14 ÷ 3/8 = 14 • 8/3

= 112/3

Answer:

37 1/3

Step-by-step explanation:

use Keep Change Flip when dividing with fractions! :) It's helpful

for example: 14 ÷ 3/8

14 (keep as 14)

* (change to multiplication)

8/3 (flip the fraction)

14 times 8/3= 37 1/3

Answer

didn't know there was an image

Answer:

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Step-by-step explanation:

As given ,

                                       Windbreakers          Rain breakers              Total

Finishing time                         59 min                     58 min                   61 hr

Packaging time                        21 min                      34 min                   68 hr

Profit                                          28                                41

Let

The number of windbreaker jackets they should produce = x

The number of rain breaker jackets they should produce = y

As given,

The company wants to maximize profit.

⇒ Maximum Profit , p = 28x + 41 y

Now,

As 1 hour = 60 min

⇒61 hours = 61×60 = 3660 min

and 67 hours = 67×60 = 4020 min

∴ we get

The equations become

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

So, the Linear Programming Problem (LPP) for this problem is -

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Answer:

15pi cm or 47.12

Step-by-step explanation:

Radius= 7.5cm

7.5 x 2 = 15

diameter= 15cm

circumference = pi x diameter

circumference= pi x 15

=15pi cm or 47.12

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

Answer:

1

5

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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

Answer

12

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Patrick Ivers, former mathematics & English instructor

Answered June 26, 2018

If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?

The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)

a+b=8 becomes a=8-b

b+c=10 becomes b=10-c

c+a=12 becomes c=12-a

Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.

Replace the c in b=10-c with 7 to

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Related Answer

Paul K. Young, Former PhD candidate in Mathematics

Answered September 28, 2016

If A = B and B = C, does A = C?

In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.

While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.

Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.

Equality in programming is another story entirely.

In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Answer:

8-3i

Step-by-step explanation:

additive inverse of a+bi is -(a+bi)

so -(-8+3i) -- distribute negative through ()

8-3i

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

Answer:

Total cost of the grill installment plan = 2290

Step-by-step explanation:

370 + 1920 = 2290

Answer:

B. 95%

Step-by-step explanation:

The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.

The confidence interval is 95.45% of the data in the data set with a normal distribution

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval

Confidence Interval CI = x + z ( s/√n )

where x = mean

z = confidence level value

s = standard deviation

n = sample size

Given data ,

To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:

Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation

For 74: z = (74 - 98) / 12 = -2

For 122: z = (122 - 98) / 12 = 2

Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.

The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.

To learn more about confidence interval click :

https://brainly.com/question/16807970

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Answer:

More

Step-by-step explanation:

If we divide 30 by .25 we will get 120

By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.

In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:

90² = 55² + 50² - 2 · 55 · 50 · cos X      (1)

X ≈ 117.916°

To learn more on law of the cosines: https://brainly.com/question/17289163

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Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

Answer: she had five quarters and 2 dimes

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

18.9 or 18 9/10 or b or the second option.

Answer:

it's 18 9/10

Step-by-step explanation:

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

Learn more here: https://brainly.com/question/16467846

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

Step-by-step explanation:

she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three