What is the measure of the angle x?​

Answer:

x < 2

Step-by-step explanation:

-8 - 4x > -16

Collect like terms

-4x > -16 + 8

-4x > -8

Divide both sides by -4

-4x/-4 > -8/-4

x < 2

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

Answer:

x=12 y=10 z=-12

Step-by-step explanation:

The first term in sequence A is 4, the second term is 4 + 4 = 8, the third term is 8 + 4 = 12, and so on.

The first term in sequence B is 4, the second term is 4 x 2 = 8, the third term is 8 x 2 = 16, and so on.

The first term in sequence C is 4, the second term is 8, the third term is 8 + 6 = 14, and so on.

The next three terms in sequence D are 8 - 4 = 4, 3 - 8 = -5, and 2 - 3 = -1.

Sequence is a set of numbers arranged in a particular order or a series of events that follow a particular order. For instance, 4, 8, 12, 16, 20 are in sequence because it follows the order of adding 4 to each preceding number. Sequences can be classified as either arithmetic or geometric, depending on whether they follow a fixed addition or multiplication pattern respectively. 1.1.1

The next three terms in the sequences provided are: Sequence A: 24, 28, 32Sequence B: 128, 256, 512Sequence C: 44, 66, 90Sequence D: 7, 2, 0To obtain the next three terms for sequence A, we add 4 to the previous term. The first term in sequence A is 4, the second term is 4 + 4 = 8, the third term is 8 + 4 = 12, and so on.

The next three terms in sequence A are 20 + 4 = 24, 24 + 4 = 28, and 28 + 4 = 32.To obtain the next three terms for sequence B, we multiply the previous term by 2. The first term in sequence B is 4, the second term is 4 x 2 = 8, the third term is 8 x 2 = 16, and so on.

The next three terms in sequence B are 64 x 2 = 128, 128 x 2 = 256, and 256 x 2 = 512. To obtain the next three terms for sequence C, we add the previous term to an increasing odd number. The first term in sequence C is 4, the second term is 8, the third term is 8 + 6 = 14, and so on.

The next three terms in sequence C are 14 + 8 = 22, 22 + 10 = 32, and 32 + 12 = 44.To obtain the next three terms for sequence D, we take the difference between the current and the preceding term. The first term in sequence D is 5, the second term is 7, the third term is 7 - 3 = 4, and so on. The next three terms in sequence D are 8 - 4 = 4, 3 - 8 = -5, and 2 - 3 = -1.

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Step-by-step explanation:

I gone through your work and I don't see anything wrong.

Try reaching out to your teacher.

Answer:

You answered every question correctly. All ten of them. The program you are using has some issues. lol

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Teagan is correct in using a division expression because Four-fifths is less than 1

Answer:

teagan is correct in using a division expression because four-fifths is less than 1.

Step-by-step explanation:

hope this helps!

Answer:

Number of ways we can choose the four students who must ride in the car = 3060 ways

Step-by-step explanation:

This is a combination question.

The number of selections of "r" objects from the given "n" objects is denoted by;

C(n,r), and is given by;

C(n, r) = n!/[r!(n - r)!]

In this question, n = 18 and r = 4

Thus;

C(18, 4) = 18!/[4!(18 - 4)!]

C(18,4) = 3060

Number of ways we can choose the four students who must ride in the car = 3060 ways

Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option " e" Is correct.



To calculate the accumulated amount, we can use the formula for compound interest:

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

Where:

A = the accumulated amount

P = the principal amount (initial investment)

r = annual interest rate (in decimal form)

n = number of times the interest is compounded per year

t = number of years

In this case, the principal amount (P) is $100,000, and Slats plans to invest an additional $50,000 per year for 10 years. The interest rate (r) is 5.25%, which is equivalent to 0.0525 in decimal form. The interest is compounded once per year (n = 1), and the total investment period is 15 years (t = 15).

First, let's calculate the accumulated amount from the additional investments:

Additional Investments = $50,000 × 10 = $500,000

Next, let's calculate the accumulated amount for the initial investment and the additional investments:

Accumulated Amount = $100,000 + $500,000 = $600,000

Now, we can use the compound interest formula:

A = $600,000 × (1 + 0.0525/1)^(1 × 15)

A = $600,000 × (1 + 0.0525)^15

A = $600,000 × (1.0525)^15

A = $600,000 × 1.94753

A ≈ $1,168,518

Therefore, Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option "e" is correct.

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Answer:

5. 18%

6. 5.25% o 5.3 o 5

7. 33.33%

8. 2005-2010

The measure of the major arc along the perimeter of the circle between Stanley and Frank is given as follows:

200º.

The measure of the major arc is obtained applying the proportions in the context of the problem.

The entire circumference (perimeter) of the circle has an angle measure of 360º, there are 10 friends and nine spaces, hence the angle measure of each space is given as follows:

360/9 = 40º.

Between Stanley and Frank, there are three people = four spaces, hence the arc lengths are given as follows:

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Answer:

2 books

Step-by-step explanation:

3 1/2 ÷ 1 3/4

Convert the mixed numbers to improper fractions.

7/2 ÷ 7/4

Keep Change Flip

7/2 × 4/7

28/14

2 books

Answer:

64.6

Step-by-step explanation:

a) The probability that the fourth person to go to the food court will be the second one to eat at Subway is 0.12207 or approximately 12.21%.

b) The probability that out of the next 10 visitors, 4 will go to Mountain Mike's Pizza is 0.0494 or approximately 4.94%.

Given, The probability that people who go to the food court will eat at Mountain Mike's Pizza is 35%.

The probability that people who go to the food court will eat at Panda Express is 30%.

The probability that people who go to the food court will eat at Subway is 25%.

Assume the choices of different people are independent.

a) The probability that the fourth person to go to the food court will be the second one to eat at Subway

Let P(S) be the probability that a person eats at Subway and Q(S) be the probability that a person doesn't eat at Subway.

Then, P(S) = 0.25 and

Q(S) = 1 - P(S)

= 0.75.

Suppose the fourth person to go to the food court is the second one to eat at Subway.

Then, the first three people can either eat at different restaurants or at least two of them can eat at Subway.

Therefore, the required probability can be calculated as follows:

Probability = P(eat at different restaurants) + P(eat at Subway, eat at different restaurant, eat at Subway, eat at Subway) = (0.35 × 0.3 × 0.75 × 0.75) + (0.35 × 0.25 × 0.75 × 0.25)

= 0.065625 + 0.01875

= 0.084375

= 0.0844 (approx.)

Therefore, the probability that the fourth person to go to the food court will be the second one to eat at Subway is 0.0844 or approximately 8.44%.

b) The probability that out of the next 10 visitors, 4 will go to Mountain Mike's Pizza

Let P(M) be the probability that a person eats at Mountain Mike's Pizza and Q(M) be the probability that a person doesn't eat at Mountain Mike's Pizza.

Then, P(M) = 0.35 and

Q(M) = 1 - P(M)

= 0.65.

The required probability can be calculated using the binomial distribution formula:

P(4 people go to Mountain Mike's Pizza out of 10 people) = ${}_{10}C_4$ $P(M)^4Q(M)^6$= $\frac{10!}{4! \times (10-4)!}$ $(0.35)^4 (0.65)^6$

= 210 $\times$ 0.015707 $\times$ 0.08808

= 0.0494 (approx.)

Therefore, the probability that out of the next 10 visitors, 4 will go to Mountain Mike's Pizza is 0.0494 or approximately 4.94%.

The probability that the fourth person to go to the food court will be the second one to eat at Subway is 0.0844 or approximately 8.44%.

The probability that out of the next 10 visitors, 4 will go to Mountain Mike's Pizza is 0.0494 or approximately 4.94%.

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Answer

13 was subtracted from a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number? (

Answer:

Step-by-step explanation:

M is the midpoint. SO length of XM  equals length of MY

MY = XM

9x + 12 = 5x + 8

Subtract 12 from both sides

9x  = 5x  +8 - 12

9x = 5x  - 4

Subtract 5x from both sides

9x - 5x = -4

      4x = -4

Divide both sides by 4

x = -4/4

x = -1

XY = 5x + 8

     = 5*(-1) + 8

     = -5 + 8

XY = 3

MY = 9x + 12

     = 9*(-1)1 + 12

     = -9 + 12

MY = 3

X Y = 3+3

XY = 6

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Answer:

7-56n

Step-by-step explanation:

By using the distributive property you multiply the 7 to the 1 which equals 7. Then you distribute the 7 to the -8n which gives you -56n becaus emultiplying a negative and a possitive gives you a negative.

The required solution is -56n+7.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Rearrange terms

7(1 - 8n)

=7(-8n+1)

Then distribute by multiplying 7 we get,

-56n+7

Therefore, the required solution is -56n+7.

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Answer:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Step-by-step explanation:

Answer:

from least to greatest:

1) g (x)

2) f (x)

3) h (x)

Step-by-step explanation:

Answer:

I think you're being asked to identify the questions that are "statistical questions".

Step-by-step explanation:

so..

a). NO ( not a statistical question).

b). YES ( a statistical question).

c). NO ( not a statistical question).

d). NO ( not a statistical question).

e). YES ( a statistical question).

Hope this helps .

The estimated total number of heartbeats in an average lifetime of 68.4 years is 2.9 billion heartbeats. The maximum number of 91 kg people that can safely occupy an elevator is 10 people.  The diameter of human hair is 0.000056 meters.

(a) To estimate the total number of heartbeats in a lifetime, we multiply the heart rate (69.2 beats/minute) by the number of minutes in a year (60 minutes/hour * 24 hours/day * 365.25 days/year) and then multiply by the number of years in a lifetime (68.4 years). The calculation is: 69.2 beats/minute * 60 minutes/hour * 24 hours/day * 365.25 days/year * 68.4 years ≈ 2,886,699,648 beats. Therefore, the estimated total number of heartbeats in an average lifetime is approximately 2.9 billion heartbeats.

(b) To determine the maximum number of 91 kg people that can occupy the elevator, we divide the maximum mass the elevator can hold (1 metric ton or 1000 kg) by the mass of each person (91 kg). The calculation is: 1000 kg / 91 kg ≈ 10.98. Since we can only have whole numbers of people, the maximum number of people that can safely occupy the elevator is 10.

(c) To express the diameter of a human hair in meters, we convert the given diameter of 56 μm to meters by dividing by 1 million (since 1 μm = 1/1,000,000 meters). Therefore, the diameter of human hair is approximately 0.000056 meters.

(d) To convert 74 miles per hour to meters per second, we multiply the given value by the conversion factor 1609 meters/mile and divide by 3600 seconds/hour. The calculation is 74 miles/hour * 1609 meters/mile / 3600 seconds/hour ≈ 33.12 meters/second. Therefore, 74 miles per hour is approximately equal to 33.12 meters per second.

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The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.

It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!

The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:

1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.

By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.

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Answer:

I'd say the mode, 21, is the best response. It appears the most frequently and it's also the median.

Explanation:

Mean: 115 / 5 = 23

Median: 19, 21, 21, 26, 28

Mode: 19, 21, 21, 26, 28

The solution to the system is:  x = -3/20  y = -21/10 z = 83/100.

To solve the system of equations using Cramer's Rule, we need to find the determinants of the coefficients and substitute them into the formulas for x, y, and z. Let's label the determinants as follows:

D = |7 2 1|

        |8 5 4|

        |-6 -5 -3|

Dx = |-1 2 1|

         |3 5 4|

         |-2 -5 -3|

Dy = |7 -1 1|

         |8 3 4|

         |-6 -2 -3|

Dz = |7 2 -1|

         |8 5 3|

         |-6 -5 -2|

Calculating the determinants:

D = 7(5)(-3) + 2(4)(-6) + 1(8)(-5) - 1(4)(-6) - 2(8)(-3) - 1(7)(-5) = -49 - 48 - 40 + 24 + 48 - 35 = -100

Dx = -1(5)(-3) + 2(4)(-2) + 1(3)(-5) - (-1)(4)(-2) - 2(3)(-3) - 1(-1)(-5) = 15 - 16 - 15 + 8 + 18 + 5 = 15 - 16 - 15 + 8 + 18 + 5 = 15

Dy = 7(5)(-3) + (-1)(4)(-6) + 1(8)(-2) - 1(4)(-6) - (-1)(8)(-3) - 1(7)(-2) = -49 + 24 - 16 + 24 + 24 + 14 = 21

Dz = 7(5)(-2) + 2(4)(3) + (-1)(8)(-5) - (-1)(4)(3) - 2(8)(-2) - 1(7)(3) = -70 + 24 + 40 + 12 + 32 - 21 = -83

Now we can find the values of x, y, and z:

x = Dx/D = 15 / -100 = -3/20

y = Dy/D = 21 / -100 = -21/100

z = Dz/D = -83 / -100 = 83/100

Therefore, the solution to the system is:

x = -3/20

y = -21/100

z = 83/100

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Answer:

5

Step-by-step explanation: