The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?

Answer:

The second one should be the correct answer.

Answer:

Sound out the letters and symbols in parenthesis right after the word.

Step-by-step explanation:

Step-by-step explanation:

h varies directly with v and inversely with the square of r.

1/pi is the constant of variation.

Answer:

it is 7.1

Step-by-step explanation:

how i got my answer is because jasmine ran 8.2 minute per mile

and Katie was 1.1 slower than jasmine so we will have to subtract  like this

8.2

- 1.1

  7.1 so katie ran 7.1 minutes per mile

If Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's.She takes 29.2 minutes to run.

It is defined as the change in values of a dependent variable with respect to the independent variables. the rate of change of distance with respect to time denotes the speed i.e. m/sec.

It is given that, Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine.

Time is taken by Katie for the given rate,

T = 5 miles × 8.4 mins / mile

T = 42 minute

The rate for Jasmine,

r = 8.4 - 1.1

r=7.3

The time for which Katie run,

t = 4 × 7.3

t = 29.2 minute

Thus, if Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's. She takes 29.2 minutes to run.

The question is incomplete.

The complete question is"Katie ran 4 miles at a rate of 1.1 miles slower than jasmine how many minutes did Katie run if jasmine ran 5 miles at 8.4 minutes per mile"

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The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Probabilities are used to determine the chances of events

The probability that exactly 14 of the tickets have popcorn coupons is 0.1604

The parameters are given as:

\(n = 21\) -- the sample size

\(r = 14\) -- the count of tickets

\(p = 0.717\) --- the probability of a movie ticket having a popcorn coupon

The probability that 14 of the 21 tickets have popcorn coupon is calculated using the following binomial probability formula

\(P(x =r) =^nC_r p^r(1 -p)^{n-r}\)

So, we have:

\(P(x =14) =^{21}C_{14} * (0.717)^{14} * (1 -0.717)^{21-14}\)

\(P(x =14) =116280 * (0.717)^{14} * (1 -0.717)^7\)

\(P(x =14) =0.16042729141\)

Approximate

\(P(x =14) =0.1604\)

Hence, the probability that exactly 14 of the tickets have popcorn coupons is 0.1604

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Answer:

the height is 20

Step 1: Let's review the information given to us to answer the question correctly:

• Sales tax percentage = 7 or 0.07

• Sales tax amoun paid by Juan = $ 3.15

• Price of the Jean's = x

Step 2: Let's write the equation to solve for x, this way:

0.07x = 3.15

Dividing by 0.07 at both sides:

0.07x/0.07 = 3.15/0.07

x = You can divide and find the price of the Jean's, Lenox!

Answer:

104ft

Step-by-step explanation:

First - find the area of triangles.

h = hight

b = base
h • b / 2

5 • 8 /2 = 20ft

And

4 • 6 /2 = 12ft

And then area of the rectangle.
l • w

9 • 8 = 72 ft

Than add. Them all together

The value of \(f\) is \(0\), by using the concept of slope of a line.

The equation to find the slope of a line is given by:

\(\(\text{slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}}\)\)

Given that the slope is -8 and the points (-7, f) and (-6, -8) lie on the line, we can substitute the coordinates into the equation:

\(\(-8 = \frac{{-8 - f}}{{-6 - (-7)}}\)\)

Simplifying the equation:

\(\(-8 = \frac{{-8 - f}}{{1}}\)\)

Multiply both sides by 1:

\(\(-8 = -8 - f\)\)

Rearranging the equation:

\(\(-8 + 8 = -f\)\(0 = -f\)\)

The concept used in this problem is finding the slope of a line using two given points. The slope represents the rate of change of the line, indicating how much the line rises or falls for each unit of horizontal distance.

By substituting the coordinates of the two given points (-7, f) and (-6, -8) into the formula, we can calculate the slope.

Thus, the value of \(f\) is \(0\).

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The equations that represent the relationship between the two angles is:

x = 2(y + z) - 60

x = 2z + 20

We are given the parameters as:

x is the largest angle.

y is the next largest angle

z is the smallest angle.

The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles. Thus:

x = 2(y + z) - 60

The largest angle is twice the smaller angle plus 20 degrees. Thus:

x = 2z + 20

x + y + z = 180

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Answer:

(4p^2 + 3) (p+2)

Step-by-step explanation:

find common factors

(4 and 3)

factor and "group the numbers"

Answers:

Lazy Butcher: M E A T L O A F E R

Rubber Raft: P L A Y B U O Y

Corn Salesman:  S T A L K B R O K E R

T = 6(3*4 - 5) - 9*4 = 6

U = 4 - 8(-2 -6*-1) = -28

Y = -3*-3 + 2(-5 * -3 + 1) = 41

R = -7(7 +6) + 12 = 79

F = 4(8 + 5 * -2) + 2* -2 = -12

S = -5 -3(4 - 9) = 10

E = 7 - 6(-8 + 2 * -6) + -6 = 121

P = 8 * -8 - 9 * -8 + 2(-3 * -8 - 4) = 48

K = -4(4 + 7 * 2) + 5 + 3 * 2 = -61

B = 5(--5 - 3) + 4 * -5 - 10 = -20

M = -1 + 9(4 * -1 - 2)  - 6 * -1 = -49

A = 6 - 2 * 3 - 6(-3 * 3 + 7) = 12

O = -8(9 + 2 * 6) + 8 * 6 + 6 = -114

L = -1 - 5 + 5(-5 * 1 + 9) = 14

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Answer:

a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large.

Step-by-step explanation:

Central Limit Theorem

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

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

So, according to the above text, the correct answer is given by option a, that is, if the sample is large, the sampling distribution of the sample mean will be approximately normal, that is, trend towards a normal distribution.

Answer:

71

Step-by-step explanation:

The measure of angle WXY will be thee ame as the measure of the intercepted arc, 109°.

W and Y are both tangent to the circle; this means angle XWZ and angle XYZ are both 90°.

Every quadrilateral has a total measure of 360°; to find the measure of WZY, we subtract:

360-90-90-109 = 71°

The measure of angle WZY (∠WZY) is; 71°

From the attached image, we can say that the measure of ∠WXY will be the same as the measure of the intercepted arc, 109°.

Now, W and Y are both tangent to the circle and this means that ∠XWZ and ∠XYZ are both equal to 90°.

Now, every quadrilateral has a total internal sum of angles as 360°.

Thus,  ∠WZY is gotten from;

∠WZY = 360 - (90 + 90 + 109)

∠WZY = 71°

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Answer:

D) 240mm^2

Step-by-step explanation:

Convert 4cm into millimetres to get 40mm.

Now find the area of the triangle:

A = 1/2(b)(h)

A = 1/2(12)(40)

A = 240mm^2

Answer:

z ≤ 6

Explanation:

z is less than or equal to: z ≤

z is less than or equal to six: z ≤ 6

Hi! I'm Carriyana!! Glad to help you today! :)

Cole needs to work 28 hrs!!

My steps:

First I did 500/20 and got 25

Then I did 700/25

And ended up with 28

So the answer should be...

Answer:

28 hours

Step-by-step explanation:

To calculate how many hours Cole must work to earn $700, we must first calculate how much he makes per hour.

This can be done by taking the total amount he earned and dividing by the number of hours:

$500 / 20 hours = $25 an hour

Since we now know how much he makes an hour, we can determine how many hours it takes to earn $700 by using a similar equation to the one above:

Total Money / Total Hours = $ an hour

$700 / Total Hours = $25 an hour

It can be represented algebraically as:

700 / x = 25

Then, solve for x:

(700 / x) * x = (25) * x

700 = 25x

(700) / 25 = (25x) / 25

28 = x

28 hours

Answer:

  0.5 gallons

Step-by-step explanation:

Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...

  0.25(2) +x = 0.40(2+x)

  0.50 +x = 0.80 +0.40x . . . . eliminate parentheses

  0.60x = 0.30 . . . . . . . . . . . .  subtract 0.50+0.40x

  x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60

Gayle should add 0.5 gallons of orange juice to make a 40% solution.

Answer:

\(2 \frac{3}{8} \)

Step-by-step explanation:

\(9 \frac{1}{2} \times \frac{1}{4} \\ \frac{19}{2} \times \frac{1}{4} \\ = \frac{19}{8} \\ = 2 \frac{3}{8} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

2 3/8

Hope this helps :)

When matched, the prompts on asymptotes would be:

The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.

This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.

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The area of the shaded regions is 4π - 8

From the question, we have the following parameters that can be used in our computation:

We start by calculating the area of the triangle using

Area of triangle = 1/2absin(C)

Substitute the known values in the above equation, so, we have the following representation

Area of triangle = 1/2 * 4 * 4 * sin(90 degrees)

Evaluate

Area of triangle = 8

Next, we calculate the area of the semicircle using

Area = 0.125πd²

Where

d² = (4² + 4²) = 32

So, we have

Area semicircle = 0.125π * 32 = 4π

The area of the circle is

Area circle = 0.25πd²

This gives

Area circle = 0.25π * 32 = 8π

The area of the shaded regions is

Shaded region = circle - semicircle - triangle

Substitute the known values in the above equation, so, we have the following representation

Shaded region =  8π - 4π - 8

Evaluate

Shaded region =  4π - 8

Hence, the shaded region is 4π - 8

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The equivalent of the expressions are solved to given the following

The distributive property of multiplication is applied to find the equations as follows

2(4x + 3y) - 2x - 2y

= 2(4x + 3y - x - y)

= 2(3x + 2y)

hence the given equation can be rewritten as 2(3x + 2y)

2(4x + 3y) + 2(x + y)

= 2(4x + 3y) + 2x + 2y)

= 2(4x + 3y + x + y)

= 2(5x + 4y)

hence the given equation can be rewritten as 2(5x + 4y)

2(4x + 4y) - 2x + y

= 8x + 8y - 2x + y

= 6x + 9y

= 3(2x + 3y)

hence the equivalence of the given equation is 3(2x + 3y)

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Answer:

Bob swam 70 meters on Monday

Step-by-step explanation:

Let x = Meters swam on Monday

and y = Meters swam on Tuesday

x + y = 250

y = 250 - x

y = 3x - 30

250 - x = 3x - 30

4x = 280

x = 70

y = 180

predicted rate of growth of population after 7 years = 7490.

Population 7 years from the present = 126215

Generally, rate of change of population over the time is termed as population growth rate.

given, rate of growth of population of a city, dp/dt = 1000t ×1.07

where. p is the population at time t.

predicted rate of growth 7 years from the present = 1000×7×1.07

                                                                                  = 7490

we rewrite the equation, dp = (1000t ×1.07)dt

integrating the both side,

∫dp = ∫dt (1000t×1.07)

p = 1/2 (1070 t²) +c  [ c is integration constant]

p = 535 t² + c

we are given. current population = 100000

let, at present time t = 0

100000 = 0 + c

c = 100000

hence, predicted population after 7 years from present, p = 535 × (7)² + 100000

  p = 126215

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Answer:

no

Step-by-step explanation:

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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