Find the value of x (no labels)

Find The Value Of X (no Labels)

Answers

Answer 1

Answer:

x=31

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees, so

81+68+x=180

Add on the left

149+x=180

Now, solve for x by getting it by itself. To do this, subtract 149 from both sides

149-149+x=180-149

x=31


Related Questions

name the highlighted angle

Answers

Answer:

not able to see the angel

Step-by-step explanation:

20 POINTS Can someone help me this?

Answers

Answer:

Area of the shaded region= 80.4 cm²

Step-by-step explanation:

Area of the square = 10×10 cm² = 100cm²

Area of the circle= πr²=π(2.5)²=3.14 ×6.25cm²

= 19.625 cm ²

Area of the shaded region= 100cm²-19.625cm²

= 80.375cm²

= 80.4 cm²

Work out the area of this semicircle take pie to be 3.142 and write down all the digits given by your calculator 18cm

Answers

Final answer:

The area of the semicircle is 0.051 square meters.

Explanation:

The area of a semicircle can be found using the formula A = πr²/2, where r is the radius of the semicircle. In this case, the radius is given as 18 cm. So, substituting this value into the formula, we get A = 3.142 x (18 cm)²/2. Now, let's calculate the area step by step:

Convert the radius to meters: 18 cm = 0.18 m

Square the radius: (0.18 m)² = 0.0324 m²

Multiply by π and divide by 2: 0.0324 m² x 3.142 / 2 = 0.051 m²

Therefore, the area of the semicircle is 0.051 square meters.

Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.
Sally buys 9 tins of cat food.

For how many days will the cat food feed her 2 cats?
Please show your working.

Answers

Answer:

18 days

Step-by-step explanation:

Each cat eats 1/4 of the thin in a day, so between the two cats they eat:

 of the tin in one day.

if the two cats eat 1/2 of the tin in one day, this means that in 2 days they eat a whole tin of cat food.

we can represent this as follows

days     tins of cat food

 2                 1

and because she has 9 tins of cat food, and x represents the quantity of days:

days     tins of cat food

 2                 1

 x                 9

thus, we must multiply cross quantities from the table and divide by the remaining amount:

x = 2*9/1 = 18

the 9 tins of cat food will last 18 days

pls mark me brainliest

PreCalc help with sums. I will mark brainliest. (also can you explain WHY you got what answer you got? Thanks)

Answers

Answer:

8

Step-by-step explanation:

a = -4

r = 16/-4 = -4

Sn = a(r^n - 1)/(r - 1)

52428 = -4[(-4)^n - 1]/(-4-1)

(-4)^n - 1 = 65535

(-4)^n = 65536

Means n is even

(4)^n = 65536

nln(4) = ln(65536)

n = 8

What is the slope of the line that passes through the points (3, 6)(3,6) and (1, 2) ?(1,2)

Answers

Answer:

-2

Step-by-step explanation:

Using the slope theorem:

[tex]m=\frac{y_{1}-y_{0}}{x_{1}-x_{0}}[/tex]

[tex]\frac{6-2}{1-3} = \frac{4}{-2} =-2[/tex]

The slope of a line passing through two points can be calculated using a formula. In this case, the slope of a line passing through (1, 0.1) and (7, 26.8) is found to be 4.45.

The slope of a line passing through two points (x₁, y₁) and the (x₂, y₂) can be calculated using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the values of the points (1, 0.1) and (7, 26.8) into the formula, we get:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

Therefore, the slope of the line passing through the points (1, 0.1) and (7, 26.8) is 4.45.



This is the initial tableau of a linear programming problem. Solve by the simplex method.

Answers

Answer:

Step-by-step explanation:

We start by selecting our pivot column as the most negative value on the bottom row.

This means our pivot column is [tex]x_{1}[/tex]. We now generate a new column by diving our pivot value by our value on the right-most column. This gives us (on a new row)

P/V

12/1 = 12

4/2 = 2

4/1 = 4

We pick our smallest positive value to be our pivot row.

This means our pivot row is our second row, and our pivot column is our first column. We now divide our entire row by our pivot point (our intersection of these two pivots)

This gives us our new second row as

1 3 0 1/2 0 0 2

now we need to eliminate our [tex]x_1[/tex] values from our other rows.

old row 1 - new row 2 gives us new row 1

row two stays the same

old row 3 - new row 2 gives us new now 3.

old row P + 2 new row 2 gives us new row P  

After the first iteration of this algorithm this gives our tableau as: (see attached screenshot)

The time is 1:25 A.M. What time will it be in 6 hours and 55 minutes?

Answers

Answer:

8:20 am

Step-by-step explanation:

Rosa picked some peaches from one tree, and then she picked 8 peaches from a different tree. She gave 10 peaches to Sten. She has 12 peaches left. How many peaches did Rosa pick from the first tree?

Answers

Answer:

14

Step-by-step explanation:

she had 22 in all take away 8 then you get 14.

take away 8 because they came from another tree

Answer:

14 peaches

Step-by-step explanation:

10-8=2+12=14

Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
a. [tex]32 \pm 1.645\sqrt{\frac{(32)(18)}{50}}[/tex]b. [tex]32 \pm 1.96\sqrt{\frac{(32)(18)}{50}}[/tex]c. [tex]0.64 \pm 1.282\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]d. [tex]0.64 \pm 1.645\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]e. [tex]0.64 \pm 1.96\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]

Answers

Answer: D

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 50

x = 32

p = 32/50 = 0.64

q = 1 - 0.64 = 0.36

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.01/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.64 ± 1.645√(0.64)(0.36)/50

What is the correct factorization of
x² + 5x – 6?
0 (x - 1) (x + 6)
o (x + 1) (x – 6)
o (x - 2) (x – 3)
O (x - 2) (x + 3)

Answers

Answer:

(x-1)(x+6)

Step-by-step explanation:

Answer:

What is the correct factorization of x2 + 5x – 6?

A.) (x – 1) (x + 6)

Complete the factorization shown: 3 then 2 are the blank numbers

Step-by-step explanation:

Juan drove his car on a vacation trip. His odometer Read 1460.3 when he began and 1830.2 at the end. If he used 20 gallons of gas how many miles per gallon did he get

Answers

Answer:

Juan got 18.50 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Odometer in the beginning of trip = 1460.3 miles

Odometer at the end of trip = 1830.2

Gallons of gas used for trip = 20 gallons

Distance of trip =

= Odometer at the end of trip - Odometer in the beginning of trip

[tex]=1830.2-1460.3\\=369.9\text{ miles}[/tex]

Thus, the trip was of 369.9 miles.

Miles per gallon =

[tex]=\dfrac{\text{Distance cover in trip}}{\text{Gallons of gas used}}\\\\=\dfrac{369.9}{20}\\\\=18.495\approx 18.50\text{ miles per gallon}[/tex]

Thus, Juan got 18.50 miles per gallon.

What is 0.090 % of the US population?

Answers

Answer:

9/100

Step-by-step explanation:

It would be 9/100 as a fraction if thats what your asking!

Use a sample n= 840 , p = 0.25, and a confidence level to construct a confidence interval estimate of the population proportion ,p.

Answers

The population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.

To construct a confidence interval estimate for a population proportion [tex]\( p \),[/tex] you can use the following formula:

[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \][/tex]

where:

[tex]- \( \hat{p} \)[/tex]is the sample proportion.

[tex]- \( Z \)[/tex] is the Z-score corresponding to the desired confidence level.

[tex]- \( n \)[/tex] is the sample size.

In this case:

[tex]\( n = 840 \)[/tex]

[tex]\( \hat {p} = 0.25 \)[/tex]

The confidence level is not specified, so let's assume a common confidence level of 95%. For a 95% confidence level, the Z-score is approximately 1.96.

Substitute these values into the formula:

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(1-0.25)}{840}} \][/tex]

Now, calculate the values:

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(0.75)}{840}} \][/tex]

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.1875}{840}} \][/tex]

[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \times 0.0132 \][/tex]

Now, compute the upper and lower bounds of the confidence interval:

[tex]\[ \text{Lower Bound} = 0.25 - (1.96 \times 0.0132) \][/tex]

[tex]\[ \text{Upper Bound} = 0.25 + (1.96 \times 0.0132) \][/tex]

Finally, round the values to an appropriate number of decimal places. The confidence interval for the population proportion p  is:

[tex]\[ \text{Confidence Interval} = (0.224, 0.276) \][/tex]

So, with 95% confidence, the population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be packaged in a container that is in the shape of a trapezoid instead of a rectangle. A trapezoid has a base of 12 inches, height of 10 inches, and top side length of 10 inches. A rectangle has a base of 12 inches and height of 10 inches. What is the difference in area between the two packages

Answers

Answer:

10 Square Inches

Step-by-step explanation:

Trapezoid

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid[tex]=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$[/tex]

[tex]=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches[/tex]

Area of the Trapezoid=110 Square Inches

Rectangle

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

Difference in Area between the two packages

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

Answer:

10 Square Inches

Step-by-step explanation:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.

Answers

Answer:

10.6 ft

Step-by-step explanation:

The complete question is:

The area of the triangle is 35 square feet. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth.Base=x+4 Height=x

SOLUTION:

As you know, Area of triangle 'A' = 1/2 x b x h

Where,

Base 'b' = x+4

Area 'A' = 35 ft²

Height 'h'= x

35 = (1/2)(x+4)x

35 =(x² + 4x)/2

2 * 35 =x² + 4x

70 = x² + 4x

x² + 4x - 70=0

Formula for the quadratic equation is

x = [- b ± √(b² - 4ac)]/2a

Where,

a=1,  b= 4,   c=-70

Plugging in the values.

x = [- 4 ± √4² - (4 × 1 × - 70)] / (2 × 1 )

x = [- 4 ± √(16  + 280)]/2

x = [- 4 ± √296]/2

x = (- 4 + 17.2)/2 or x = (- 4 - 17.2)/2

x = 13.2/2 or x = - 21.2/2

As, we choose to ignore negative value of 'x'

Therefore, x = 13.2/2 = 6.6

And, Length of the base will be:

x + 4 = 6.6 + 4 => 10.6 ft

The base is approximately 10.6 feet when rounded to the nearest tenth.

We know the area of the triangle is 35 square feet, the base is x + 4, and the height is x.

The formula for the area of a triangle is:

Area = 1/2 × base × height

1. Substitute the given values into the formula:

35 = 1/2 × (x + 4) × x

2. To simplify, multiply both sides by 2 to eliminate the fraction:

70 = (x + 4) × x

3. Expand the equation:

70 = [tex]x^{2}[/tex] + 4x

4. Rearrange into a standard quadratic form:

[tex]x^{2}[/tex] + 4x - 70 = 0

5. To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √([tex]b^{2}[/tex] - 4ac)) / 2a

6. Here, a = 1, b = 4, and c = -70. Plug these values into the formula:

x = (-4 ± √([tex]4^{2}[/tex] - 4(1)(-70))) / 2(1)

x = (-4 ± √(16 + 280)) / 2

x = (-4 ± √296) / 2

x = (-4 ± 17.2) / 2

7. This gives us two potential solutions:

x = (-4 + 17.2) / 2 ≈ 6.6

x = (-4 - 17.2) / 2 ≈ -10.6 (This solution is not valid since the height cannot be negative)

8. So, the height (x) is 6.6 feet. Therefore, the length of the base is:

Base = x + 4 ≈ 6.6 + 4 = 10.6 feet.

Question- The area of the triangle is 35 square ft. Use a quadratic equation to find the length of the base. Round your answer to the nearest tenth. Base = x + 4, Height = x.

+30 POINTS FOR THIS QUESTION
1. I just bought a kite at the departmnet store for $5.95. The owner of the store bought it from a wholesaler for $3.10. Which price is retail price?
The $5.95 is retail price because the owner got it for wholesale.

2. What precentage of the retail price is the whole sale price in #1?


3. If the sandals cost $58.00 wholesale and $105.00 retail, what is the markup in dollars?


4.The markup in #3 is what percent of the retail?


5.What precent of the wholesale in #3 is the markup?


6. A dozen eggs are purchased from the farmer at $1.05 per dozen. They are then sold to the consumer for $1.45. What percent of the retail is the markup.

Answers

1. I just bought a kite at the department store for $5.95. The owner of the store bought it from a wholesaler for $3.10. Which price is retail price?

Answer: The $5.95 is retail price because that's what I paid for it at the store

2. What percentage of the retail price is the wholesale price in #1?

 3.10 / 5.95 = 0.52100 = 52.1%

3. If the sandals cost $58.00 wholesale and $105.00 retail, what is the markup in dollars?

markup = 105 - 58 =  $47

4.The markup in #3 is what percent of the retail?

47/105 = 0.44761904761904764 = 44.8%

5.What percent of the wholesale in #3 is the markup?

47/58 = 0.8103 = 81.0%

6. A dozen eggs are purchased from the farmer at $1.05 per dozen. They are then sold to the consumer for $1.45. What percent of the retail is the markup.

(145-105)/145 = 0.2758620 = 27.6%

Answer:

uh what he said (:

Step-by-step explanation:

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space, m, end text, and the tire revolves 1.51.51, point, 5 times per second. What is the distance Benjamin travels in 100100100 seconds

Answers

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 [tex]\times[/tex] 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 [tex]\times[/tex] 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5  100

                                               = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8  150

                                                                                            = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

8. Mr. Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary
after his raise?

Answers

Answer:

75/2=32.5

Step-by-Step explanation

15/24 x 100

3/8 x 100

3/4 x 50

3/2 x 25

There are 27 chocolates in a box, all identically shaped. There 4 are filled with nuts, 8 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a solid chocolate candy followed by a nut candy.

Answers

Answer:

Therefore the required probability is [tex]\frac{30}{351}[/tex].

Step-by-step explanation:

Two events are dependents event if the occurrence of one of them has effect on the probability of the other.

If A and B are dependents,

then,

P(AB)=P(A)P(B).

Given that,

There are 27 chocolates in a box.

Number of nuts chocolates = 4

Number of caramel chocolates = 8

Number of solid chocolates= 15.

The probability of that a solid candy is drawn is

[tex]=\frac{\textrm{Number of solid chocolate}}{\textrm{Total number of chocolate}}[/tex]

[tex]=\frac{15}{27}[/tex].

After selecting a solid chocolate, the number of chocolate is= (27-1)=26.

The probability that a nut candy is drawn is

[tex]=\frac{\textrm{Number of nut chocolate}}{\textrm{Total number of chocolate}}[/tex]

[tex]=\frac{4}{26}[/tex]

[tex]=\frac{2}{13}[/tex]

Therefore the required probability is

[tex]=\frac{15}{27}\times\frac{2}{13}[/tex]

[tex]=\frac{30}{351}[/tex]

ten years ago, a printing company charged $15 to produce 100 ten-page brochures. every year, the cost increased by 2%

Answers

Answer:

C[10] = $18.28

Step-by-step explanation:

a 50 gram sample of a substance thats used to treat thyroid disorders has a k value of 0.1133

Answers

Answer:

6.1

Step-by-step explanation:

The price of a new motorcycle is $7000, but the value of the motorcycle drops by 9% each year. The function v(f) = 7000 • 0.91 models this situation for v dollars and t years. What is a realistic domain for this situation?

Answers

Final answer:

The domain is the set of all possible input values for the function. In this case, the realistic domain for this situation would be 0 ≤ t ≤ 25, indicating the number of years from the time the motorcycle is purchased up to 25 years later.

Explanation:

The domain of a function in mathematics defines the set of input values for which the function is defined. In this case, the function  [tex]v(t) = 7000 \times 0.91^t[/tex]is used to calculate the value of a motorcycle, where t is the number of years after the motorcycle was bought.

As time can't be negative in this real-world scenario, the smallest value for t is 0, representing the moment the motorcycle is bought. Theoretically, t can be any positive number, although it may not be practical to consider values of t that are too large, because the value of the motorcycle will decrease significantly after several years due to depreciation.

Again, if we assume that the motorcycle will be completely worthless after 25 years, a realistic domain would be 0 ≤ t ≤ 25, that is, from the year the motorcycle is bought to 25 years afterward.

Learn more about Domain of a Function here:

https://brainly.com/question/28599653

#SPJ12

(PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.


A. 11

B. 27

C. 56

D. 59

Answers

To answer your question (PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.


The answer would be B:27

Answer:

27

Step-by-step explanation:

please tell me if i am wrong

Dimitri determined that the ordered pair (2, –2) is a solution to the system of linear equations 7x + 9y = –4 and 5x – 2y = 6 as shown.


He mixed up the coordinates of the ordered pair when substituting it into the equations 7x + 9y = –4 and 5x – 2y = 6.

He checked the equation 7x + 9y = –4 first when he should have checked first.

He made a mistake in his calculations when substituting the ordered pair into the equation 7x + 9y = –4 and simplifying.

He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.

Answers

Answer: D. He made a mistake in his calculations when substituting the ordered pair into the equation 5x -2y =6 and simplifying.

Step-by-step explanation: I got the answer correct on a test. Hope this helps!

What is the measure of Arc NM?
a: 55
b: 60
c: 120
d: 125
please help ive been stuck on this question for so long i dont understand how to do this

Answers

Answer:

  a:  55°

Step-by-step explanation:

The measure of arc NM is the same as the measure of the central angle that intercepts it: Q. The sum of the central angles of a circle is 360°, so ...

  Q = 360° -120° -60° -65° -60° = 55°

The measure of arc NM is 55°.

A survey of 47 people was conducted to compare their self-reported height to their actual height. the difference between reported height and actual height was calculated. you're testing the claim that the mean difference is greater than 1. from the sample, the mean difference was 1.2, with a standard deviation of 0.78. calculate the test statistic, rounded to two decimal places

Answers

Answer: The test statistic is 1.75.

Step-by-step explanation:

Since we have given that

n = 47

First mean difference = 1

and second mean difference = 1.2

Standard deviation = 0.78

So, the value of test statistic would be

[tex]t=\dfrac{\bar{x_1}-\bar{x_2}}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{1.2-1}{\dfrac{0.78}{\sqrt{47}}}\\\\t=\dfrac{0.2}{0.114}\\\\t=1.754[/tex]

Hence, the test statistic is 1.75.

Final answer:

The test statistic for the sample showing the difference between reported and actual height, with a mean difference of 1.2 inches, standard deviation of 0.78, and sample size of 47, is 1.96 when rounded to two decimal places.

Explanation:

The test statistic for a sample where the population standard deviation is unknown and the sample size is small can be calculated using a t-test. The formula for the test statistic in a one-sample t-test is t = (\bar{X} - \mu) / (s/\sqrt{n}), where \bar{X} is the sample mean, \mu is the population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

In this case, we are testing the claim that the mean difference in reported and actual height is greater than 1 inch. The null hypothesis (H0) is that the mean difference is less than or equal to 1 inch, and the alternative hypothesis (H1) is that the mean difference is greater than 1 inch. Given a sample mean difference of 1.2, a sample standard deviation of 0.78, and a sample size of 47, the test statistic is calculated as follows:

t = (1.2 - 1) / (0.78/\sqrt{47})

After calculating and rounding to two decimal places, the test statistic is approximately 1.96

Find the GCF of 10 and 35.

A: 3

B: 4

C: 5

D: 6

i will give brainliest

Answers

Answer:

C. 5

Step-by-step explanation:

Find the factors of 10 and 35

Factors of 10:

1,2, 5, 10

Factors of 35:

1,5,7, 35

The greatest common factor between both is 5, so C is correct

You interview all of your family members at a picnic and record their age and shoe sizes. The data is shown in the table. Which number summarizes all of the data points in the age column with a single number? A.1.1 B.4 C.9.2 D.11

Answers

Answer:

no

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

Answers

Answer: A, because the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. So, if the point of the center is [tex](5,7)[/tex] and the radius [tex]2[/tex] , then on the equation should be changed as negative and the radius should be multiplied as [tex]4[/tex], which is [tex](x-5)^2+(y-7)^2=4[/tex]

Other Questions
Tammy picks apples at an orchard. She earns $3.10 for each hour she works and $2.30 for each bushel of apples she picks. Her goal is to earn at least $100 this week.Write an inequality that will help Tammy determine the number of hours (h) and bushels (b) she needs to reach her goal. i need the steps for 28 What is the area of a triangle that has a base of 15 yards and a height of 11yards A government's Statement of Revenues, Expenditures, and Changes in Fund Balances reflected expenditures for debt service in the amount of $12,000,000, including $7,000,000 for interest. It also reflected proceeds of bonds in the amount of $4,000,000. No interest accruals were involved. When moving from the changes in fund balances reported for the governmental funds to the change in Net Position for governmental activities, the net change would be The entire population of a given community is examined, and all who are judged to be free from bowel cancer are questioned extensively about their diets. These people then are followed for several years to see whether or not their eating habits will predict their risk of developing bowel cancer. a. Cross-sectional study b. Case-control study c. Prospective cohort study d. Historical prospective cohort study e. Clinical trial f. Community trial Bicoid mRNA is expressed in a gradient in Drosophila embryos. Loss of Bicoid function leads to embryos with two posterior ends. If researchers injected bicoid mRNA into the posterior end of an embryo with no bicoid function, the embryo would most likely develop _. A normally B with two posterior ends C with two anterior ends D with no anteriorposterior body axis You have received authorization to operate a sUAS at an airport. When flying the sUAS, the ATC tower instructs you to stay clear of all runways. Which situation would indicate that you are complying with this request?a. You are on the double dashed yellow line side of markings near the runwayb. You are over dashed white lines in the center of the pavementc. You are on the double solid yellow line side of markings near the runway Vertical farming is the future of Sustainable agriculture in the UAE.Comment the statement. Read the passage carefully. Sarina was born in Puerto Rico, a small island in the Caribbean Sea that is an unincorporated territory of the United States. She moved to Miami, Florida, with her parents and her brother a few years ago, but her grandma, whom she loves dearly, stayed behind. Sarina misses her grandma every single day but has found many ways to make her feel close. Her favorite thing to do is to bake the cookies they used to make together. Then, while eating them, she savors every taste of the memories they evoke. Which connection can the reader make that is a text-to-world connection?A) My grandmother still lives in Puerto Rico, and my brother and I video chat with her on Saturdays because we miss her so much. B) I saw a news story about a Puerto Rican boy living in New York who calls home weekly to sing to his grandmother.C) I am reading a book about a Puerto Rican family who moves to the US mainland, while the grandparents choose to stay behind.D) Our neighbors moved here from Puerto Rico two years ago, and the family tells us that they miss their grandparents, who still live there. The term "benchmarking" as it relates to the hotel industry refers to a line-by-line analysis of an operating statement, comparing metrics for hotels of similar size or profile. Circle P has a circumference of approximately 75 inches.What is the approximate length of the radius, r? Use 3.14for 7. Round to the nearest inch.OOOO12 inches24 inches38 inches46 inchesSave and yitSubmit If half of the pie below is eaten, what fraction remains? What is the slope of the line represented by the equation y =4\5x-3 Tonisha has a lemonade stand. She has 34$ in expenses and wants to make at least 80$per day. A gas at 155 Kpa and 25 degrees celsius has a volume of 1 L. The pressure increases to 605 kPa as the temperature is raised to 125 degrees Celsius what is the new volume? A 20 ft ladder is leaning up against a wall. The wall forms a 90 degree angle with the floor, which has recently been waxed and is very slippery. The base of the ladder begins to slide away from the wall causing the top of the ladder to slide down the wall toward the floor. When the base of the ladder slides to 12 ft away from the wall, the base is moving at a rate of 1 ft/sec away from the wall. How quickly is the top of the ladder moving toward the floor at that moment? The triangular prism below has a base area of 9 cm and a height of 23 cm. What is the volume of the prism? A) 207 cm3B) 103.5 cm3C) 1863 cm3D) 200 cm3 Note: Figure is not drawn to scale.If r = 10 units and x = 13 units, then what is the volume of the cylinder shown above?V cylinder =2hO A.460 T cubic unitsOB. 130 cubic unitsoc. 1,300 cubic unitsOD. 5,200 cubic units _____ is the frictional force needed to slow down an object in motion 1. Which ten Hints for Studying will work for you? Which won't? Why?