What is the length of EF? (PLEASE HELP)

4π
2π
8π
π

9514 1404 393

Answer:

  (b)  Function; The table follows the specific rules for being a function.

Step-by-step explanation:

The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.

1/3 ln(x) + ln(2) - ln(3) = 3

Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so

ln(x ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]

[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]

Then

ln(2/3 x ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)

exp(ln(2/3 x ¹ʹ³)) = exp(3)

Now exp(ln(x)) = x for all x, so this simplifies to

2/3 x ¹ʹ³ = exp(3)

Now solve for x. Multiply both sides by 3/2 :

3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)

x ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(x ¹ʹ³)³ = (3/2 exp(3))³

x = 3³/2³ exp(3×3)

x = 27/8 exp(9)

which is the same as

x = 27/8 e ⁹

Answer:

B. (2, 2), (6, 4), (8, 10), (9, 28)

Step-by-step explanation:

I hope this helped! :D

Answer:

110

Step-by-step explanation:

To solve first find the measurement of the angles inside the triangle. The angle across from the 60-degree angle is also 60 degrees because the two angles are vertical.

Then you can find the missing angle in the triangle by subtracting 50 and 60 from 180 because all triangles equal 180 degrees. This means y=180-(50+60); therefore, y=70.

Finally, you can x because the 70-degree angle is complementary to x. This means when they are added they will equal 180. So to solve do x=180-70, which equals 110. Therefore, x=110.

Answer:

180 - 50 - 60 = 70°

x = 180 - 70 = 110°

Answer:

the answer is

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/2÷4=

1/2×1/4=1/8

Answer:

1/8= 0.125

Step-by-step explanation:

1/2÷4

1/2 x 4 = 1/8

The answer to 1/2 divided by 4 in fraction form is: 1/8.

9514 1404 393

Answer:

  (a) 3%

Step-by-step explanation:

Nathan's actual mileage was ...

  (2882 mi)/(131 gal) = 22.0 mi/gal

The error can be computed from ...

  error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%

Nathan's prediction was high by about 3%.

Answer:

40

Step-by-step explanation:

-3   2

               -15  -   2         =      -17

1     5

                 -1    -  25      =     -26

5   -1

                -25    -   (-1)   =     - 24

1   -5

                 2      -   15    =     -13

-3   2

area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40

Answer: 40

Answer:

ccc

Step-by-step explanation:

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

Answer:

C

Step-by-step explanation:

The answer is C.

Answer:

x = 9

Step-by-step explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

[tex]\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9[/tex]

So, the value of x  is equal to 9.

Answer:

5 green

20 total

first green = 5/20 = 1/4

second green = 4/19

(1/4)(4/19) = 1/19

Step-by-step explanation:

Answer:

This answer is A

Step-by-step explanation:

Answer:

Subtraction. 10.6 is your answer.

Step-by-step explanation:

14 - 3.4 = 10.6

subtract the rock's volume from the volume of the water.

Answer:

1.) [tex]=50x+30y[/tex]

2.? The first one

Step-by-step explanation:

1.)[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex],  [tex]a=10,\:b=5x,\:c=3y[/tex]

[tex]=10\cdot \:5x+10\cdot \:3y[/tex][tex]=50x+30y[/tex]

2.) The first one

Answer:

3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2

Step-by-step explanation:

hope this helps!

Answer:

Bro it’s a’c’d the sun the moon and the earth their energy works together pushing and pulling towards the earth creating a gravitational pull.

Step-by-step explanation:

Answer:

It's all of the above. Hope this helps :)

I may be wrong

Answer:

55

Step-by-step explanation:

straight lines are always 180.

[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]

Answer:

1) should be B

2) should be C

Step-by-step explanation:

Answer:

B) 3

Step-by-step explanation:

24÷8=3

3×8=24

so r is 3

I think is 200 minutes

Answer:

110

Step-by-step explanation:

the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2

Answer: 15

Step-by-step explanation:

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.