Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following system of inequalities in the coordinate plane.

Answer:

66 i think

Step-by-step explanation:

The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

Answer:

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

Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

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The slope greater than one would be the last image, because for every step in x, you get more than one y step.

The slope between 1 and 0 would be the second image

And the slope less than 0 would be the third image

Answer:

5,675

Step-by-step explanation:

she save 5,675 in a week

Answer:

Top left should be the answer.

Answer:48

Step-by-step explanation:

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

m = 9.3

Step-by-step explanation:

9.3 - 4.2 = 5.1

You can do 5.1 + 4.2 to get the answer.

Answer:

m = 9.3

Step-by-step explanation:

m -4.1 = 5.1

9.3 - 4.2 = 5.1

5.1 + 4.2

m = 9.3

Answer:

The answer is option (C). Four Rivers Bank

Explanation:

a). The total amount Jane will receive after 5 years after investing $40,000 in the Mystic Bank can be expressed as follows;

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

where;

A = the future value of the initial investment

P = initial investment amount/principal amount

r = the annual interest rate

n = the number of times that interest is compounded per unit t

t = the time the money is invested for

In our case;

P=$40,000

r=12/100=0.12

n=interest is compounded quarterly which is four times a year=4

t=5 years

Replacing values in the formula;

A=40,000(1+0.12/4)^(4×5)

A=40,000(1+0.03)^20

A=40,000×1.806

A=72,244.45

The total amount Jane will receive after 5 years if she chooses to invest with the Mystic Bank is $72,244.45

b). The total amount Jane will receive after 5 years after investing $40,000 in the Four Rivers Bank can be expressed as follows;

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

where;

P=$40,000

r=14/100=0.14

n=interest is compounded semiannually which is two times a year=2

t=5 years

Replacing values in the formula;

A=40,000(1+0.14/2)^(2×5)

A=40,000(1+0.07)^10

A=40,000×1.967

A=78,686.05

The total amount Jane will receive after 5 years if she chooses to invest with the Four Rivers Bank is $78,686.05

c). The best deal would be to invest with Four Rivers Bank for 5 years since the total amount Jane will receive after 5 years will be $78,686.05 which is greater than $72,244.45, which is the total amount she will receive if she chooses to invest with Mystic Bank

Answer:

D

Step-by-step explanation:

6-8:35

8-10:25

35+25=60

The correct answer is D.

Answer:

C. Statistic because the value is a numerical measurement describing a characteristic of a sample

Answer:

Solution given:

<ABC+<QRS=180° (supplementary)

m<QRS=180°-41°=139° is your answer

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

We have,

We can simplify the given expression as follows:

(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)

= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)

[distributing the factors]

= (5X - 5Y) /8 - 1/(4X + 4Y)

[finding a common denominator]

= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)

= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)

= (20X² - 20Y² - 1) / (4X + 4Y)

Therefore,

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

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As per the distance formula, it take 1 hour of time for Sean to catch up to Gina.

Distance formula:

The equation that relates the distance, rate, and time is

d  =  rt

Where d represents the distance traveled, r represents the rate, and t represents the time.

Given,

Gina left home, riding her bicycle at a rate of 25 miles per hour. Sean left 1 hour later, riding at a rate of 30 miles per hour.

Here we need to find the time take by Sean to catch up Gina.

Let us consider x be the time when Gina left the home.

Then, Sean left 1 hour later from her time.

So, it can be written as,

=> x + 1

As the Distance traveled is the same, the ratio of Speed in case 1 to the Speed in case 2 will be the inverse of the Time taken in both cases.

Therefore, the ratio of Speed in both cases

=> 25 : 30

=> 25/30

=> 5/6

Therefore, it can be written as,

x/x+1 = 5/6

When we cross multiply them, then we get,

5x + 5 = 6x

x = 5.

If Gina left at the time of 5, then Sean left at the time of 6.

So, it take 1 hour for Sean to catch up to Gina.

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Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

The derivative of g(x)=√9-x​ is  mathematically given as

\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

This is further explained below.

\(g(x)=\sqrt{9}-x\)

Rewrite 9 as 3^2.

\(\frac{d}{d x}\left[\sqrt{3^2}-x\right]\)

Pull terms out from under the radical, assuming positive real numbers. \(\frac{d}{d x}[3-x]\)

Differentiate.

By the Sum Rule, the derivative of 3-x with respect to x is

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$.\)

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$\)

Since 3 is constant with respect to x, the derivative of 3 with respect to x is 0 .

\($0+\frac{d}{d x}[-x]$\)

Evaluate

\(\frac{d}{d x}[-x]$.\)

Since -1 is constant with respect to x, the derivative of -x with respect to x is -\frac{d}{d x}[x].

\(0-\frac{d}{d x}[x]\)

Differentiate using the Power Rule which states that

t\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

In conclusion,

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Answer:

Answer:

0.58 +/- 0.115

(0.465, 0.695)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

Given that;

Proportion p = 29/50 = 0.58

Number of samples n = 50

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

0.58 +/- 1.645√(0.58(1-0.58)/50)

0.58 +/- 1.645(0.069799713466)

0.58 +/- 0.114820528652

0.58 +/- 0.115

(0.465, 0.695)

The 90% confidence interval estimate of the true population proportion of account customers who have a visa card with the bank is;

0.58 +/- 0.115

(0.465, 0.695)

9514 1404 393

Answer:

  see attached

Answer:

4.5

Step-by-step

2+1=3+1.5+4.5

Answer:

5040

Step-by-step explanation:

7 x 6 x 5 x 4 x 3 x 2 = 5040 different ways. Look at it this way: The first place can be taken by any of the 7 objects, which leaves any of 6 objects available for second place, which leaves any of 5 objects that then leaves 4 then 3 then 2 then 1

HOPE THIS HELPS