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Answer:

58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two remote interior angles.

m∠A + m∠C = measure of exterior angle at B

2x + 2 + 54 = 4x

2x + 56 = 4x

2x = 56

x = 28

m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°

Answer:

A

Step-by-step explanation:

Remark

<A + <C = the exterior angle.

Two remote interior angles = the exterior angle that neither connects to.

Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.

Equation

<A + <C = Remote angle connected to the supplement of B

Givens

m<A = 2x + 2

m<C = 54

Remote angle = 4x

Solution

2x + 2 + 54 = 4x           Combine like terms on the left

2x + 56 = 4x                 Subtract 2x from both sides

56 = 4x - 2x

2x = 56                         Divide by 2

x = 56/2

x = 28

Answer

<A = 2x + 2

<A = 2*28 + 2

<A = 56 + 2

<A = 58  

The required amount of potassium-42 left after 62.0 hours is 26.5 grams.

Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram

Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.

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Answer:

I'm not sure would love to help but dont know the answer

Answer:

the experimental probability for 20 or more customersis 37.5%

Step-by-step explanation:

Given that

The recording of the customers would be in between 10:00 AM to 11:00 PM

In this, they have been fewer than 20 customers on 20 out of the 40 days

We need to find out the experimental probability for 20 or more customers

So,

= (40 - 25) ÷ (40)

= 15 ÷ 40

= 37.5%

Hence, the experimental probability for 20 or more customers is 37.5%

Answer:

20 days

Step-by-step explanation:

0.25 pound of food is eaten in 1 day

1 pound of food is eaten in 1 / 0.25

5 pound of food is eaten in 5/0.25 = 20 days

Step-by-step explanation:

Here, in step format, is how to solve a system with three equations and three variables:

Pick any two pairs of equations from the system.

Eliminate the same variable from each pair using the Addition/Subtraction method.

Solve the system of the two new equations using the Addition/Subtraction method.

The domain of this function is n ≥ 1, where n is the round of the tournament.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The explicit rule for T(n), the number of games in the nth round of the tournament is 2ⁿ⁻¹. The domain of this function is n ≥ 1, where n is the round of the tournament.

Since all teams play in the first round, the number of games in the first round (n = 1) is 2¹⁻¹, which is equal to 1. As the rounds progress, the number of games in each round is doubled. T

herefore, the number of games in the second round (n = 2) is 2²⁻¹, which is equal to 2. The number of games in the third round (n = 3) is 2³⁻¹, which is equal to 4.

This pattern continues for each round, as the number of games in the nth round is 2ⁿ⁻¹.

Therefore, the domain of this function is n ≥ 1, where n is the round of the tournament.

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Answer:

10ft · (8ft) = 80 [tex]f^ {2} t^{2}[/tex]

3.14 = 80 [tex]f^{2} t^{2}[/tex]

Step-by-step explanation:

Answer:

every other night another $1 getting made

Step-by-step explanation:

Answer:

eeeeeeeeeeee nose

Step-by-step explanation:

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

y= 20h + 2

   its $20 times the hours for every 2 hours

Answer:

232 sq. m

Step-by-step explanation:

Answer:

0.23825

Step-by-step explanation:

Given :

p = 0.592 ; number of trials, n = 8

x = 4 ; q = 1 - p = 1 - 0.592 = 0.408

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 8C4 * 0.592^4 * 0.408^4

P(x = 4) = 70 * 0.592^4 * 0.408^4

P(x = 4) = 0.23825

Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

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.

Mean is 400 hours and the standard deviation is 50 hours

This means that [tex]\mu = 400, \sigma = 50[/tex]

1. Between 350 and 450 hours:

The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.

X = 450:

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

[tex]Z = \frac{450 - 400}{50}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

X = 350:

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

[tex]Z = \frac{350 - 400}{50}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 5000:

0.6826 out of 5000. So

0.6826*5000 = 3413

3413 are expected to last between 350 hours and 450 hours.

2.more than 300 hours

The proportion is one subtracted by the pvalue of Z when X = 300.

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

[tex]Z = \frac{300 - 400}{50}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

Out of 5000:

0.9772of 5000 is

0.9772*5000 = 4886

4886 are expected to last more than 300 hours.

3.less than 300 hours

4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.

Answer:

y=10

Step-by-step explanation: a horizontal line has no slope

Answer:

the second and last one

....................

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

Answer:

mode of this question is 71

Answer:

71

Step-by-step explanation:

because mode is the number that occurs most frequently

Answer:

x = −2

Step-by-step explanation:

the steps are super long but this is the answer

Answer:

C

Step-by-step explanation:

x^2 + 20^2 = 25^2

x^2 + 400 625

x^2 = 225

x = 15

Answer:

29 students

Step-by-step explanation:

Given that 20% of the 145 student did not play video games, you take the 145 times .20 and should be able to find the number that did NOT play video games.

[tex]0.2(145) = 29[/tex]

Answer:

[tex]d = 16.55[/tex]

Step-by-step explanation:

Given

[tex]z_1 = -8 + 3i[/tex]

[tex]z_2 = 7 - 4i[/tex]

Required

The distance between them

First, calculate the difference (d) between z1 and z2

[tex]d = z_1 - z_2[/tex]

[tex]d = -8 + 3i - [7 - 4i][/tex]

Open bracket

[tex]d = -8 + 3i - 7 + 4i[/tex]

Collect like terms

[tex]d = -8 - 7+ 3i + 4i[/tex]

[tex]d = -15+ 7i[/tex]

Using modulus, we have:

[tex]d = \sqrt{R^2 + I^2}[/tex]

Where

R = Real Part = -15

I = Imaginary Part = 7

So, we have:

[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]

[tex]d = \sqrt{225 + 49}[/tex]

[tex]d = \sqrt{274}[/tex]

[tex]d = 16.55[/tex]

Answer:

B

Step-by-step explanation:

Do 115000/100x6.5    You get 7.475k

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is correct, but why?

The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.

[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]

So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]

[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]

etc.

Answer:

6.75 gallons lost in 1 hour.

Step-by-step explanation:

1 US gallon = 128 ounces.

12 ounces takes 50 seconds.

x ounces takes 3600 seconds (which is 1 hour)  Cross multiply

12 * 3600 = 50 x

43200 = 50 x                Divide by 50

43200 / 50 = x

864 oz = x

So in 1 hour 864 ounces were lost.

Now there are 128 ounces in a gallon

1 gallon /128 ounces = x / 864        Cross multiply

864 * 1 / 128 = x

6.75 = x

There are 6.75 gallons in 1 hour

Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5