Solve: -4x + 3 > 27

Please explain and show your work step-by-step.

Answer:

Step-by-step explanation:

It is very difficult sorting through the information as typed.  Please try to organize the numbers into columns when posting questions.  There also seems to be a couple of typos:

"Store C Number Cost (in ) of T-shirts 2 512 4 $24 8 $48 Store D Number Cost (in of T-shirts 3 $21 6 $42 9 563"  In both cases, I'll assume the 5 was meant to be a $.

The cost of t-shirts from either store is the same price, regardless of volume.  Store C sells t-shirts for $6 each, while Store D sells them for $7 each.

Answer options:

Which of these explains which store has a better buy?

1.  Store C, because the ratio of the number to the cost is 6:1 in Store C and 7:1 in Store D.  No, the ratio of number to cost is 1:6.

2.  Store C, because the ratio of the number to the cost is 1:6 in Store and 1:7 in Store D.  Yes

3.  Store D, because the ratio of the number to the cost is 2:14 in Store C and 3:24 in Store D.  No.  Wrong ratios

4.  Store D, because the ratio of the number to the cost is 14:2 in Store C and 24:3 in Store D.​  No.  Wrong ratios

The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

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Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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The matches between the sets of coordinates and their corresponding images after applying the vector (3,-8) are as follows:

A. (1.1) matches with (6,-4), (10,1) matches with (9,-3), and (6,5) matches with (6,-3).

B. (0,0) matches with (3,-8), (3,8) matches with (6,-6), (4.0) matches with (-1,-8), and (7,8) matches with (7,-8).

C. (3,-2) matches with (6,-7), (3,4) matches with (6,-4), and (6,5) matches with (9,-3).

D. (-2,2) matches with (1,-6), (2,2) matches with (5,-6), (-4,0) matches with (7,-8), and (4,0) matches with (10,0).

In this task, we are given sets of coordinates for preimages and asked to determine their corresponding images after applying the vector (3,-8). Let's go through each set of coordinates and their respective images:

A. The preimages are (1.1), (10,1), and (6,5). After applying the vector (3,-8), the corresponding images are (6,-4), (9,-3), and (6,-3). Thus, the matches are as follows:

  - (1.1) matches with (6,-4)

  - (10,1) matches with (9,-3)

  - (6,5) matches with (6,-3)

B. The preimages are (0,0), (3,8), (4.0), and (7,8). After applying the vector (3,-8), the corresponding images are (3,-8), (6,-6), (-1,-8), and (7,-8). The matches are:

  - (0,0) matches with (3,-8)

  - (3,8) matches with (6,-6)

  - (4.0) matches with (-1,-8)

  - (7,8) matches with (7,-8)

C. The preimages are (3,-2), (3,4), and (6,5). After applying the vector (3,-8), the corresponding images are (6,-7), (6,-4), and (9,-3). The matches are:

  - (3,-2) matches with (6,-7)

  - (3,4) matches with (6,-4)

  - (6,5) matches with (9,-3)

D. The preimages are (-2,2), (2,2), (-4,0), and (4,0). After applying the vector (3,-8), the corresponding images are (1,-6), (5,-6), (7,-8), and (10,0). The matches are:

  - (-2,2) matches with (1,-6)

  - (2,2) matches with (5,-6)

  - (-4,0) matches with (7,-8)

  - (4,0) matches with (10,0)

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The probable question may be:
Match each set of coordinates for a preimage with the coordinates of its image after applying the vector (3,-8). Indicate a match by writing a letter for a preimage on the line in front of the corresponding image.

A. (1.1); (10, 1); (6,5) ------------ (6-10): (6,-4): (9,-3).

B. (0,0): (3,8): (4.0); (7, 8) -------- (1.-6): (5,-6); (-1,-8): (7.-8).

C. (3,-2); (3, 4); (6,5) -------- (4.-7): (13,-7): (9-3).

D. (-2, 2); (2, 2); (-4, 0); (4,0) -------- (3,-8); (6.0); (7, -8); (10,0).

The probability of rolling an even number, then the number 3 is 1/12.

Given that Jeremy will roll a number cube, numbered 1-6, twice.

Now, the possible outcomes are {1,2,3,4,5,6} and out of this the number of even numbers choices are {2,4,6}. Therefore, the probability of getting an even number will be,

Probability(Even)

= Number of Even outcomes possible/Number of outcomes possible

= 3/6

Further, the probability of getting the number 3 will be,

Probability(x=3)

= Number of outcomes possible/Number of outcomes possible

= 1/6

Therefore, the probability of rolling an even number, then the number 3 is,

Probability

= Probability(Even) × Probability(x=3)

= (3/6) × (1/6)

= 3/36

= 1/12

Hence, the correct option is D.

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Given

A circles passes through A(8,4) and B(0,-2).

To find the radius and the equation of the circle.

Explanation:

It is given that,

A circles passes through (8,4) and (0,-2).

Then, the diameter of the circle is,

Therefore, the radius of the circle is,

Also, the center of the circle is,

Therefore, the center is (4,1).

Now, consider the equation of the circle as,

That implies,

Answer:

yes, it is

Step-by-step explanation:

The table shows a constant rate of change

y-5 7 9 11

5, 5+2, 7+2 ,9+2

Answer:

7. .44

8. .009

Step-by-step explanation:

7. 44 ÷ 100 = .44

8. 9 ÷ 1000 = .009

the second option is more profitable

if she sells more than $ 18000 per month

Explanation

Step 1

let's check the options we have

a)

one paying ​$3,000 per month

it means, in a month , she will receive 3.000

b)$2,100 per month plus a​ 5% commission on all sales made during the month

if x represents the sales, then the formula would be

Step 2

now, to make the option 2 more profitable

solve for x

therefore, the second option is more profitable

if she sells more than $ 18000 per month

I hope this helps you

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

To calculate z table online we put Raw Score, Population Mean, Standard Deviation, σ   then calculator give us answer.

A z-table, also called a standard normal table or unit normal table, is a table of standardized values ​​used to determine the probability that a given statistic is below, above, or below the standard normal distribution. A z-score of 0 indicates that the given point is the same as the mean. Therefore, on the graph of the standard normal distribution, z = 0 is the midpoint of the curve. A positive Z value indicates that the point is to the right of the mean, and a negative Z value indicates that the point is to the left of the mean. There are several different types of Z-tables. The values ​​in the table below represent a range from z=0 to a specific z-score.

Z Means table (0 to Z)  

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Answer:

So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,

5x+10+6x-41=90

11x-31=90

11x=31+90

11x=121

x=121/11

x=11

We can draw the conclusion that there is enough data to demonstrate that, at a significance level of = 0.05, the mean forced expiratory volume in one second for the population of 13-year-old boys in the high-pollution community differs from the established mean of 2.6 liters.

To test whether the mean forced expiratory volume in one second (FEV1) for the population of 13-year-old boys in the high-pollution community differs from the known mean of 2.6 liters, we can use a one-sample t-test.

Given that the sample size is not provided, we assume it to be large enough for the sample mean to follow a normal distribution by the central limit theorem.

The null hypothesis is: H0: μ = 2.6 (the population mean is equal to 2.6 liters)

The alternative hypothesis is: Ha: μ ≠ 2.6 (the population mean is not equal to 2.6 liters)

We will use a significance level of α = 0.05.

To find the critical value, we need to determine the degrees of freedom. Since the sample size is not given, we can assume it to be large enough (say, n > 30) and use a t-distribution with degrees of freedom approximately equal to n - 1.

Using a t-table with 30 degrees of freedom (which is conservative), the critical values for a two-tailed test with α = 0.05 are -2.042 and 2.042.

The test statistic can be calculated as:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (sample mean - 2.6) / (population standard deviation / sqrt(sample size))

Since the sample standard deviation is not given, we can use the population standard deviation as an estimate (assuming that the sample is representative of the population). Thus,

t = (3.0 - 2.6) / (0.5 / sqrt(n))

t = 0.4 / (0.5 / sqrt(n))

We do not know the sample size, but we can solve for n using the given sample mean and standard deviation:

standard error = population standard deviation / sqrt(n)

0.5 / sqrt(n) = (3.0 - 2.6) / t

n = (0.5 / ((3.0 - 2.6) / t))^2

n = (0.5 / (0.4 / 2.042))^2

n = 107

Thus, the sample size is 107. Now we can calculate the test statistic:

t = (3.0 - 2.6) / (0.5 / sqrt(107))

t = 4.89

The calculated t-value of 4.89 is greater than the critical value of 2.042, so we reject the null hypothesis.

We can conclude that there is sufficient evidence to suggest that the mean forced expiratory volume in one second for the population of 13-year-old boys in the high-pollution community differs from the known mean of 2.6 liters at a significance level of α = 0.05.

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Answer:

(0.5,0) , (-3,0) ,and (0,-1.5)

Step-by-step explanation:

Just look where the points touch the x- and y-axis.

It touches twice on the x- and once on the y-axis.

Hope that helps!

The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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Given statement solution is :- It takes 5.625 minutes for the front of the train to enter the tunnel. Since it takes the same amount of time for the back of the train to exit the tunnel, the answer is also 5.625 minutes.

To solve this problem, we need to convert the train's speed from minutes per hour to miles per minute.

Given:

Train's speed = 45 minutes per hour

Length of the train = 1/8 mile

Length of the tunnel = 1 mile

First, let's convert the train's speed from minutes per hour to miles per minute:

Speed = 1 hour / 45 minutes = 1/45 hours per minute

Since the train is traveling at a constant speed, we can assume it takes the same amount of time to travel the entire length of the tunnel. Therefore, the time it takes for the back of the train to exit the tunnel will be the same as the time it takes for the front of the train to enter the tunnel.

Let's calculate the time it takes for the front of the train to enter the tunnel:

Distance = Speed × Time

1/8 mile = (1/45) miles per minute × Time

Solving for Time:

Time = (1/8) / (1/45)

Time = (1/8) × (45/1)

Time = 45/8

Time = 5.625 minutes

Therefore, it takes 5.625 minutes for the front of the train to enter the tunnel. Since it takes the same amount of time for the back of the train to exit the tunnel, the answer is also 5.625 minutes.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Circumference  =   2pi  * r

So

3pi   =  2pi  r               divide  away pi

3  =  2  r

(3/2)  =  r    =   1.5 m

Area  =  pi  ( r^2)   =   pi  (1.5)^2   =   2.25 pi   m^2   ≈  7.07  m^2

cited from web2.0calc

Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

did you use google.if not use it it is good to use.

1) The account's eventual worth in 25 years is $3,022,397.85.

2) The account worth after forty years with a $3,000 initial deposit and $300 annual increases generating 8.35% interest is roughly $12,218,632.71.

3)Terry is predicted to have $8,089,827.37 in his account at the end of 40 years.

4) Davey will have roughly Based on these estimates, there will be $3,438,472.55 in the account at the end of 40 years.

5) Karin will have around $527,216.56 in her account after 20 years.

6) The interest rate Hannah must earn in order to attain $1,000,000 in 25 years. As a result, she needs to earn around 11% per year on her IRA.

We can use the following formula to compute the future value of an annuity:

\(FV = PMT * \frac{ [(1 + r)^{n-1}]}{r}\)

where FV is the future value, PMT denotes the annual payment, r denotes the interest rate per period, and n denotes the number of periods.

1) In this scenario, the annual payment is $3,000, the interest rate is 9.25%, and the term is 25 years. We can enter the following values into the formula:

\(FV = $3,000 * [(1 + 0.0925)^{(25 - 1)} ] / 0.0925\\ = $3,000 * 93.287 / 0.0925 \\= $3,000 * 1007.466 \\= $3,022,397.85\)

2)

\(FV = PMT * \frac{ [(1 + r)^{n-1}]}{r}\)

PMT = $3,000 + ($300 x (n - 1))

we have an interest rate of 8.35%, which can be expressed as a decimal:

r = 0.0835

Finally, we have a forty-year time span, so:

n = 40

After entering these values into the formula,

\(FV = [($3,000 + ($300 * (40 - 1))] * (1 + 0.0835)40 - 1 / 0.0835\\ = ($3,000 + ($300 x 39)) * 143.701 / 0.0835 \\= $12,218,632.71\)

3) For the first 25 years, with a deposit of $4,750 each year and a 9.1% interest rate,

\(FV1 = $4,750 * [(1 + 0.091)^{25-1}] / 0.091\\ = $4,750 * 125.217 / 0.091\\ = $6,513,385.82\)

For the next ten years, with a deposit of $4,750 per year and a 6.9% interest rate,

\(FV2 = $4,750 * [(1 + 0.069)^{10 - 1} ] / 0.069 \\= $4,750 * 14.618 / 0.069 \\= $1,002,825.99\)

\(FV3 = $4,750 * [(1 + 0.045)^{5 - 1} ] / 0.045 \\= $4,750 * 5.464 / 0.045\\ = $573,615.56\)

Total FV is $6,513,385.82 + $1,002,825.99 + $573,615.56 = $8,089,827.37

4) For the first 20 years, with a $5,000 annual investment and a 9.35% interest rate,

\(FV1 = $5,000 * [(1 + 0.0935)^{20 - 1} ] / 0.0935 \\= $5,000 * 99.435 / 0.0935\\ = $532,230.19\)

\(FV2 = $532,230.19 * (1 + 0.0935)^{20} \\= $532,230.19 * 6.465 \\= $3,438,472.55\)

As a result, Davey will have roughly Based on these estimates, there will be $3,438,472.55 in the account at the end of 40 years.

5) The present value of a $3,000 initial deposit after 20 years at a 9.8% interest rate is:

\(FV1 = $3,000 * (1 + 0.098)^{20} \\= $3,000 * 4.315 \\= $12,944.83\)

\(FV2 = $3,000 * [(1 + 0.075) * ((1 + 0.098)^{19} - (1 + 0.075)^{19} ) / (0.098 - 0.075)]\\= $3,000 * (1.075) * (8.812) / 0.023 \\= $514,271.73\)

Total FV = $12,944.83 + $514,271.73 = $527,216.56

Based on these predictions, Karin will have around $527,216.56 in her account after 20 years.

6) We can use the future value calculation to calculate the interest rate Hannah has to earn to reach $1,000,000 in 25 years:

\(PV * (1 + r)^{n} = FV\)

The present value is $14,975 + $3,000 = $17,975, with 25 periods.

Let's start with a 10% interest rate. The deposits for the following 24 hours will be calculated using this rate.

The years would be:

Year 1: $3,000

Year 2: $3,750

Year 3: $4,500

Year 4: $5,250 ...

Year 24: $29,250

With a 10% interest rate, the projected value of these deposits after 25 years is:

\(FV = $17,975 * (1 + 0.10)^{1} + $3,000 x (1 + 0.10)^{24} + $750 * [(1 + 0.10)^{24} - (1 + 0.10)]\\= $17,975 * 1.10^{1} + $3,000 * 1.10^{24} + $750 * [1.10^{24} - 1]\\ = $397,479.70\)

Because this is less than $1,000,000, we must raise the interest rate. Let's go with 11%.

With an interest rate of 11%, the following deposits would be made over the next 24 years:

Year 1: $3,000

Year 2: $4,125

Year 3: $5,250

Year 4: $6,375 ...

Year 24: $44,625

The potential value of these deposits after 25 years, assuming a 5% interest rate of 11%, is:

\(FV = $17,975 * (1 + 0.11)^{1} + $3,000 * (1 + 0.11)^{24} + $750 * [(1 + 0.11)^{24} - (1 + 0.11)]\\= $17,975 * 1.11^{1} + $3,000 * 1.11^{24} + $750 * [1.11^{24} - 1] \\= $1,006,197.46\)

Hannah must earn in order to attain $1,000,000 in 25 years. As a result, she needs to earn around 11% per year on her IRA.

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Answer:

f(-4)= -2

Step-by-step explanation:

f(x)=x^2+5x+2 find(-4)

replace x= -4 in function

f(-4) = (-4)^2+ 5*-4+2

       = 16 -20 +2

       = 18-20

       = -2

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

Answer:

11. (x, y) -> (7, -3)

14. (x, y) -> (-3, -2)

15. (x, y) -> (-3, 2)

16. (x, y) -> (7,6)

20.(x, y) -> (4, 1)

Step-by-step explanation:

11.

x + 3y = 1

-3x -3y = -15

-2x = -14

/-2    /-2

x = 7

x + 3y = 1

7 + 3y = 1

-7        -7

3y = -6

/3    /3

y = -2

(x, y) -> (7, -3)

14.

-3x + 3y = 3

-5x + y = 13

-5x + y = 13

+5x     +5x

y = 5x + 13

-3x + 3(5x + 13) = 3

-3x + 15x + 39 = 3

12x + 39 = 3

    - 39   -39

12x = -36

/12    /12

x = -3

Now, we solve for y:

-5x + y = 13

-5(-3) + y = 13

15 + y = 13

-15      -15

y = -2

(x, y) -> (-3, -2)

15.

6x + 6y = -6

5x + y = -13

5x + y = -13

-5x         -5x

y = -5x - 13

6x + 6y = -6

6x + 6(-5x - 13) = -6

6x -30x - 78 = -6

-24x - 78 = -6

       + 78  + 78

-24x = 72

/-24     /-24

x = -3

Now, we solve for y:

6x + 6y = -6

6x + 6y = -6

6(-3) + 6y = -6

-18 + 6y = -6

+18       +18

6y = 12

/6   /6

y = 2

(x, y) -> (-3, 2)

16.

2x + y = 20

6x - 5y = 12

2x + y = 20

-2x     -2x

y = -2x + 20

6x - 5y = 12

6x - 5(-2x + 20) = 12

6x + 10x - 100 = 12

16x - 100 = 12

    + 100  +100

16x = 112

/16    /16

x = 7

Now, we solve for y:

2x + y = 20

2(7) + y = 20

14 + y = 20

-14      -14

y = 6

(x, y) -> (7,6)

20.

-2x - y = -9

5x - 2y = 18

-2x - y = -9

+2x     +2x

-y = 2x - 9

/-1    /-1

y = -2x + 9

5x -2y = 18

5x - 2(-2x + 9) = 18

5x + 4x - 18 = 18

9x - 18 = 18

   + 18   + 18

9x = 36

/9  /9

x = 4

Now, we solve for y:

-2(4) - y = -9

-8 - y = -9

+ 8     +8

-y = -1

/-1  /-1

y = 1

(x, y) -> (4, 1)

Hope this helps!

There are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

For the number to be divisible by 5, its units digit must be either 0 or 5. Since we cannot repeat digits, we have two cases to consider:

Case 1: The units digit is 0.

In this case, we have 5 choices for the units digit (0, 1, 2, 3, or 4). For the remaining four digits, we can choose them in 4! ways (i.e., 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the fourth digit).

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 0 is:

5 × 4! = 120

Case 2: The units digit is 5.

In this case, we have only one choice for the units digit, which is 5. For the remaining four digits, we can choose them in 4! ways as before.

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 5 is:

1 × 4! = 24

The total number of ways to form a five-digit number that is divisible by 5 without repeating digits is the sum of the numbers from both cases:

120 + 24 = 144

Therefore, there are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

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I am pretty sure it is the top right graph

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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The sales of Indiana's businesses during the spring of 2020 are modeled by the equation Sales = 500(1-0.10)^t, where t is the number of days and sales are in millions of dollars. If sales reach $23.5 million, it will be considered a statewide economic crisis.

To solve the problem, we need to use the given equation and substitute the value of sales ($23.5 million) into it. Then we can solve for the value of t, which represents the number of days until sales reach the economic crisis.

500(1-0.10)^t = 23.5

(1-0.10)^t = 0.047

Taking the natural logarithm of both sides,

ln[(1-0.10)^t] = ln(0.047)

t ln(0.90) = -3.057

t = -3.057 / ln(0.90)

Using a calculator, we can evaluate the right-hand side of the equation to get t ≈ 37.28 days.

Therefore, it will take approximately 37.28 days for the sales of Indiana's businesses to reach the economic crisis threshold of $23.5 million.

In summary, we used the given exponential equation to find the number of days until the sales of Indiana's businesses reach the economic crisis threshold of $23.5 million. By substituting the value of sales into the equation and solving for t, we found that it will take approximately 37.28 days for this critical point to be reached. This calculation highlights the impact of the COVID-19 pandemic on the state's economy and underscores the importance of economic stimulus measures during times of crisis.

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Answer:

i cant help

Step-by-step explanation:

im sorry i cant