In Exercises 1-4, tell whether the ordered pair is a solution of
the inequality whose graph is shown.
1. (2, 1)
2. (-3, 2)
3. (0,2)
4. (-1,-4)

Answer:

8.23529412

Step-by-step explanation:

Do long division to get the answer as simple as that!

Answer:

168

Step-by-step explanation: (10 1 ÷5)  ÷ 84

Answer:

Neither

Step-by-step explanation:

I did all of the steps and the closest answer was C) the actual answer is 76.3, but C was the closest it was 75.6

Answer:58.60

Step-by-step explanation:

because this was just a wasted  of you time very not sorry thx for the pts .

The solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

The given parameters are

I = PRT

Where

I = 2160, P =24000 and R = 0.03

Substitute I = 2160, P =24000 and R = 0.03 in the above equation I = PRT

2160 = 24000 * 0.03 * T

Evaluate the product

So, we have

2160 = 720 * T

Divide both sides by 720

T = 3

Hence, the solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

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Answer:

A (0, -4)

Step-by-step explanation:

The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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Let's begin by listing out the information given to us:

Length = 1300 mm = 1.3 m, Width = 900 mm = 0.9 m

The area of a rectangle is given by:

Answer:

step 4 is correct because h-¹(x)=2x+5

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Hello!

We have the expression:

Note that all numbers in the numerator are even. So, we can put 2 in evidence, look:

Now, let's rewrite 7x as 6x+x:

The first and second terms are multiples of 2x, so let's rewrite it putting it in evidence too:

Another term appears twice: (x+3). So, we'll have:

Canceling the common factors:

4x +2.

Using commutative and associative properties of addition, the solution for given expression is -5.

What is commutative and associative property?

The associative and commutative characteristics are universal principles that apply to addition and multiplication. The associative property states that rearranging the numbers will get the same result, while the commutative property states that rearranging the numbers will yield the same result.

These properties tell that one can add in any order, the result will always be the same.

We are given an expression as 8+(-8-5).

So, in this instead of adding from left to right, we can see that the 8 + (-8) will be zero and only -5 will be left as an answer.

Hence, the solution for given expression is -5.

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Answer:

if the question is asking about the next numbers the it should be: 27,30,33,36

Step-by-step explanation:

the pattern is +3 so you keep on adding

Max and Pam will be able to spend $676.1 on their trip.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Principal P = $600.00

Compounded quarterly n = 4

Time t = 3  years

Interest rate r = 4%

Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year.

Plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = $600( 1 + 0.04/4 )^( 4 × 3 )

A = $600( 1 + 0.01 )^( 12 )

A = $600( 1.01 )^( 12 )

A = $676.1

Therefore, the accrued amount after 3 years is $676.1.

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Answer:

$14

Step-by-step explanation:

Since the original price of the game was $48 and the store wanted to sell it with 1/4 off the total price, we can say that (48) - (48 *1/4) = 36. Since marcus thought that he was buying the game for 1/4 of the original price, that would be 48 * 1/4 = 12.

The difference between 36 and 12 is 14, which would be the answer.

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

Distributive property of multiplication

Step-by-step explanation:

The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Answer:

si bwjmdnndnnnnn jsnnnsii

Answer:

6-x

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 ÷ 10 = 0.1

hope this helped

Answer -4+X/2=7

-4+X=14

X=18

5+Y/2=-9

5+Y=-18

Y=-23

18,-23

Step-by-step explanation:

Answer:

x=18 , y. = -13

Step-by-step explanation:

\(\frac{-4 + x}{2} \\\) =7 => x = 18

\(\frac{-5 + y}{2\\} \\\) = -9 => y= -13

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

The 95% confidence interval for the hemoglobin reading for all the patients in the hospital is (72, 112).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

\(CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}\)

The data provided is:

S = {112, 120, 98, 55, 71, 35, 99, 142, 64, 150, 150, 55, 100, 132, 20, 70, 93}

Compute the sample mean and sample standard deviation as follows:

\(\bar x=\frac{1}{n}\sum X=\frac{1}{17}\times[112+120+98+...+93]=92.1176\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{17-1}\times 25041.7647}=39.56\)

The critical value of t for 95% confidence level and n - 1 = 16 degrees of freedom is:

\(t_{\alpha/2, (n-1)}=t_{0.05/2, 16}=2.120\)

*Use a t-table.

Compute the 95% confidence interval for the hemoglobin reading for all the patients in the hospital as follows:

\(CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}\)

     \(=92.1176\pm 2.120\times\frac{39.56}{\sqrt{17}}\\\\=92.1176\pm 20.3408\\\\=(71.7768, 112.4584)\\\\\approx (72, 112)\)

Thus, the 95% confidence interval for the hemoglobin reading for all the patients in the hospital is (72, 112).

Answer:

3 292 000 000

Step-by-step explanation:

We have to round to the nearest million. The million is the fourth number which was '1' before and we rounded it up to '2' because the number 5 was after it. Hopefully that makes sense.

Step-by-step explanation:

multiply the first equation by 2 and then add both equations.

2x + 2y = 10

-2x + 4y = 8

---------------------

0 + 6y = 18

y = 3

x + y = 5

x + 3 = 5

x = 2

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5