Suppose I have a right trapezoid with base lengths of 4 and 16. Is there any way I can find out what the missing side is? (see image attached)

Answer:

(1, 9/2) or (1, 4.5)

Step-by-step explanation:

To find the midpoint, take the x1 and x2 values and divide it by 2, same for the y values.

(4-2)/2  and (6 + 3)/2

1 and 4.5

(1, 4.5)

Answer:

C

Step-by-step explanation:

In the attached file

Answer:

  x = 10

Step-by-step explanation:

Combining the logarithms, you have ...

 ln(20·5) = ln(x²)

  100 = x² . . . . . take the antilogs

  10 = x . . . . . . . take the positive square root

_____

Alternate solution

  ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20

  2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)

  ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2

  ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left

  10 = x

_____

These solutions make use of the rules of logarithms ...

  ln(ab) = ln(a) +ln(b)

  ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b

Answer:

x = 5; y = 138, z= 42

Step-by-step explanation:

4x- 17 = 3 [ opposite sides of a parallelogram are equal]

4x = 3+ 17 = 20; X= 20/4 = 5

138 + Z = 180( angle on a straight line)

Z is an alternate angles to the remaining angle off 138 forming the straight line.

z= 180-138 = 42 degrees

Y = 138 [ opposite angles of a regular quadilareral been equal]

Answer:

k= -6.48 approx

Step-by-step explanation:

(5k+35) -8=12

opening bracket

-45k-280=12

-45k=12+280

-45k=292

k=-6.48 approx

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...

Answer:

Arc = 20 / 3°

Step-by-step explanation:

Say the angle is = x

The sector = πr^2 / x

Sector = 100π / x

15π = 100π / x

15πx = 100π

x = 20 / 3

Arc is = to the central angle

Answer:

[tex] = 3053.6[/tex]

Answer D is correct

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \pi \times {9}^{3} \\

≈3053.62806 [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is of option D

Look at the attached picture

hope it will help you

Good luck on your assignment

Answer: the numbers are 5,111.3 and 35.74

Step-by-step explanation:

I will answer this in English.

We have the numbers X and Y, ad we have that:

X + 2*Y^2 = 7776

X = 7776 -  2*Y^2

Now we also want that the product of X and Y is a maximum.

The equation of maximum product is

P(Y) = X*Y = (7776 -  2*Y^2)*Y

       = 7776*Y - 2*Y^3

Now, to find the maximum we must derivate and find the value where P'(Y) is equal to 0

P'(Y) = 7776 - 6*Y^2 = 0

7776 = 6*Y^2

Y = √(7776/6) = 35.74

Now, we replace this value in the equation for X and we can find X:

X = 7776 -  2*Y^2  = X = 7776 -  2*(35.74)^2 = 5,111.3

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let [tex]\mu[/tex] = mean power consumption for microwave ovens.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                                T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, the test statistics  =  [tex]\frac{257.3-250}{\frac{15}{\sqrt{20} } }[/tex]

                                      =  2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

Answer:

Check the explanation

Step-by-step explanation:

The distribution is right skewed but the sample size is large so we can use t - test here. The statistical software output for this problem is:

One sample T hypothesis test:

μ : Mean of population

[tex]H_0[/tex] : μ = 27

[tex]H_A[/tex] : μ < 27

Hypothesis test results:

Mean         Sample Mean          Std. Err.        DF         T-Stat         P-value

μ                         26.8            0.29014496     653   -0.68931061   0.2454

Since p - value > 0.05, do not reject .

Hence,

With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.

Answer:

Use interval estimation to compute the average weight of fish living in a large pond.

Step-by-step explanation:

In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.  

The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).

Now according to the law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample ([tex]\bar x[/tex]) approaches the whole population mean (µ).

That is, [tex]\bar x[/tex] →  µ as n → ∞.

The scientist uses the weights of 25 fish from the pond to find the average weight.

The sample is large, but not large enough.

So, use interval estimation to compute the average weight of fish living in a large pond.

The interval estimation is the best way to estimate the true value of a parameter. This is because the interval of values computed for the parameter has certain probability of containing the true parameter value.

The (1 - α)% confidence interval for population mean is an interval estimate.

Answer:

With replacement, 0.037, independent

Without replacement, 0.031, dependent

Step-by-step explanation:

There are 5 vowels (not including y).

The probability the first letter is a vowel is 5/26.

With replacement, the probability the second letter is a vowel is also 5/26.

The total probability is (5/26) (5/26) = 0.037.

Since the first letter is replaced, the probability of the second letter is not affected, so the events are independent.

Without replacement, the probability the second letter is a vowel is 4/25.

The total probability is (5/26) (4/25) = 0.031.

Since the first letter is not replaced, the probability of the second letter is affected, so the events are dependent.

Answer: A

I just love your questions. You always put "No guessing" haha.

Step-by-step explanation:

[tex]f(x)=3^x+10x\\g(x)=2x-4[/tex]

[tex](f+g)(x)=[/tex]

This basically means you have to take both functions and add them together.

[tex](f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\[/tex]

Combine like terms;

[tex](f+g)(x)=3^x+12x-4[/tex]

Answer:

45

Step-by-step explanation:

19+26 fences equal 45

Answer:

The equivalent expression is: (6x + 5)*(6x - 5)

Step-by-step explanation:

This expression is called the difference of two squares.

It has the following format: [tex]a^{2} - b^{2}[/tex]

It is factored as: [tex]a^{2} - b^{2} = (a-b)*(a+b)[/tex]

In this question:

[tex]a^{2} - b^{2} = 36x^{2} - 25[/tex]

So

[tex]a^{2} = 36x^{2}[/tex], then [tex]a = \sqrt{36x^{2}} = 6x[/tex]

[tex]b^{2} = 25[/tex], then [tex]b = \sqrt{25} = 5[/tex]

So

The equivalent expression is: (6x + 5)*(6x - 5)

Answer: (6x)^2 − (5)^2

Step-by-step explanation:

edge. 2022 got it right

Answer:

a = 250 ; b = 10

Step-by-step explanation:

a = 5 × 10² / 2

a = 5 × 100 / 2

a = 500 / 2

a = 250

b = 2 × 10² (10-5) / 10×10

b = 2 × 100 × 5 / 100

b = 1000 / 100

b = 10

Answer:

Area = base × height

31.5 = base × 6.3

base = 5 ft

Answer:

5 feet

Step-by-step explanation:

The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!

Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

hope this helps

plzz mark me brainliest

Answer:

Amount of crimson velvet left = 3200 -  120 - 1400 = 1680  cm

Step-by-step explanation:

The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.

The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.

total length = 32 m

1 m = 100 cm

32 m = ?

cross multiply

total length in cm = 32 × 100 = 3200 cm

The first customer bought 120 cm

The second customer bought 14 m so let convert again.

1 m = 100 cm

14 m = ?

cross multiply

the second customer length in cm = 14 × 100 = 1400 cm

The amount left in the shop will be as follows

Amount of crimson velvet left = 3200 -  120 - 1400 = 1680  cm

Answer:

905

Step-by-step explanation:

So your original equation is f(x) = x² + 5

First lets work with the stuff inside the parentheses.

f(5) = 5² + 5 = 30

So now you are finding,

f(f(5)) => f(30)

f(30) = 30² + 5 = 900 + 5 = 905

Answer:

A. [tex]G(x) = 7x^2[/tex]

D. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

If you were to vertically stretch the quadratic parent function, the correct answer would be "A," because you are stretching upwards, which in turn, also changes the y-values.

As you can see in the table, the x-value of 3 repeats, which cannot occur. Each input (x-value) can go to only one output (y-value). As a result, the table does not represent a function.

Answer:

  xy²z³

Step-by-step explanation:

An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.

  x is repeated once, so will appear without an exponent

  y is repeated twice, so will have an exponent of 2

  z is repeated 3 times, so will have an exponent of 3

__

  xyyzzz = xy²z³

_____

In plain text, an exponent is indicated with a caret (^).

  xy^2z^3

Answer:

67

Not exactly sure on how to write it in though

Step-by-step explanation:

Answer:

The area of the riders field of view is 987.5 square yards.

Step-by-step explanation:

The human has a 180° arc view. If the rider can see only 25 yards, the area of the riders field of view is a semi-circle (180° arc) of 25 yards of radius.

The semi-circle of 25 yards of radius has an area of:

[tex]S=\dfrac{1}{2}\pi r^2=\dfrac{1}{2}\cdot3.16\cdot (25)^2=\dfrac{1}{2}\cdot3.16\cdot625=987.5[/tex]

The area of the riders field of view is 987.5 square yards.

Answer:

7 lbs   4 oz

Step-by-step explanation:

6 lb 10 oz

   + 10 oz

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

6 lbs  20 oz

But we know that there are 16 oz in 1 lb

So subtract 16 oz and add 1 lb

6 lbs  20 oz

+1 lb   - 16 oz

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

7 lbs   4 oz

Answer:

2 1/4 ,2 1/2, 2 3/4, 3 1/4 ,3 1/2, 3 3/4, 4 1/4 , 4 1/2, 4 3/4

Step-by-step explanation:

These are the mixed numbers.

The surface area of the new figure is,

⇒ 1550 cm²

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

The surface area of a figure is 62cm².

And, the dimensions are multiplied by 5.

Here, The surface area of a figure is 62cm².

After multiply by 5, surface area of the new figure is,

⇒ 5² × 65

⇒ 25 × 65

⇒ 1550

Thus, The surface area of the new figure is,

⇒ 1550 cm²

Learn more about multiplication visit:

https://brainly.com/question/1135170

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Answer:

P(seventh grade winner) = 3/8

Step-by-step explanation:

Answer:

a

Step-by-step explanation: