Please help me with this one ☝️

The ordered pair (-13, 5) is a solution to the given system of linear equations.

The system of equations given is:

-2a + 3b = 14 ... equation (1)

a - 4b = 3 ... equation (2)

Now, we need to find out which ordered pair (a, b) is a solution to this system of linear equations. We will solve this system of equations using the elimination method.

Multiplying equation (1) by 2, we get:

-4a + 6b = 28 ... equation (1) multiplied by 2a - 4b = 3 ... equation (2)

Now, adding these two equations, we get:

-2a + 2b = 31

Simplifying this, we get:

2b = 2a + 31

Dividing both sides by 2, we get:

b = a + 31/2 ... equation (3)

Now, substituting the value of b from equation (3) in equation (1), we get:

-2a + 3(a + 31/2) = 14

Simplifying this, we get:

a = -13

Substituting the value of a in equation (3), we get:

b = a + 31/2 = -13 + 31/2 = 5

So, the ordered pair (-13, 5) is a solution to the given system of linear equations.

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Answer: 12 tablespoons

Step-by-step explanation:   8 tablespoons 1/2 cup 4 fluid ounces

12 tablespoons 3/4 cup 6 fluid ounces

16 tablespoons 1 cup 8 fluid ounces

2 cups 1 pint 16 fluid ounces

a) The 90% confidence interval for the population mean is approximately 34.52 to 37.48.

b) The 95% confidence interval for the population mean is approximately 34.23 to 37.77.

c) The 99% confidence interval for the population mean is approximately 33.68 to 38.32.

a. 90% confidence interval:

A 90% confidence interval means that if we were to repeat this sampling procedure multiple times, approximately 90% of the intervals calculated would contain the true population mean. The standard error (SE) represents the standard deviation of the sample mean and is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n).

Plugging in the values:

Confidence interval = 36 ± (1.645 * (7 / √60))

Confidence interval ≈ 36 ± (1.645 * 0.903)

Confidence interval ≈ 36 ± 1.487

Confidence interval ≈ 34.52 to 37.48

b. 95% confidence interval:

Similarly, to calculate a 95% confidence interval, we use a different critical value. For a 95% confidence level, the critical value is approximately 1.96. Applying the formula:

Confidence interval = 36 ± (1.96 * (7 / √60))

Confidence interval ≈ 36 ± (1.96 * 0.903)

Confidence interval ≈ 36 ± 1.771

Confidence interval ≈ 34.23 to 37.77

c. 99% confidence interval:

To calculate a 99% confidence interval, we use a higher critical value. For a 99% confidence level, the critical value is approximately 2.576. Applying the formula:

Confidence interval = 36 ± (2.576 * (7 / √60))

Confidence interval ≈ 36 ± (2.576 * 0.903)

Confidence interval ≈ 36 ± 2.326

Confidence interval ≈ 33.68 to 38.32

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Answer:

7 hrs

Step-by-step explanation:

455/65=7

Answer:

7 hours

Step-by-step explanation:

divide 455 by 65

Recipes 1 and 2 have the same proportion of orange juice to pineapple juice, whereas recipe 3 has a different proportion.

The recipes that would taste the same are recipe 1 and 2. Recipe 3 would taste different.

Recipe 1: ratio of orange juice to pineapple juice = 4 : 6

2 : 3

Recipe 2: ratio of orange juice to pineapple juice = 6 : 9

2: 3

Recipe 3: ratio of orange juice to pineapple juice = 9 : 12

3 : 4

Thus, Recipes 1 and 2 have the same proportion of orange juice to pineapple juice, whereas recipe 3 has a different proportion.

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The Complete Question is:

Here are three different recipes for Orangy-Pineapple juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? explain or show your reasoning.

The amount of cash needed to retire baldwin's bond early based on the brokerage will be $5427896.

It should be noted that from the information given, we are to calculate the amount of cash needed to retire baldwin's bond early based on the brokerage.

This will be:

= 6000 + (5756951 × 94.18/100)

= 6000 + 5421896.45

= 5427896

Therefore, the amount of cash needed to retire baldwin's bond early based on the brokerage will be $5427896.

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Answer:

x = 25

Step-by-step explanation:

2x + 4 + x + 11 = 90, combine like terms

3x + 15 = 90, subtract 15 from both sides

3x = 75, divide by 3

x = 25, you have your answer!

The type of angle pair that describes ∠5 and ∠2 is B Same-side interior angles.

It should be noted that same-side interior angles simply means when two lines that are parallel are interested by a transversal line.

It should be noted that the same-side interior angles are supplementary. This implies that they will be equal to 180°.

In this case, the type of angle pair that describes ∠5 and ∠2 is Same-side interior angles.

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Answer: 59.02 square inches

Step-by-step explanation:

We can use the formulas for the volume and surface area of a sphere to solve this problem.

The formula for the volume of a sphere is:

V = (4/3)πr^3

Where V is the volume, r is the radius, and π is pi (approximately equal to 3.14159).

We know that the volume of the sphere is 33.51 cubic inches, so we can plug that in and solve for the radius:

33.51 = (4/3)πr^3

r^3 = (3/4) * (33.51/π)

r^3 = 10.56

r ≈ 2.17

Now that we know the radius is approximately 2.17 inches, we can use the formula for the surface area of a sphere to find the surface area:

A = 4πr^2

A = 4π(2.17)^2

A ≈ 59.02 square inches

Therefore, the surface area of the sphere is approximately 59.02 square inches.

Answer:

-19

Step-by-step explanation:

put 7 in for x, 9-4(7) 4x7=28 then minus 9=19 but the lower number (9) is before the larger number (28) so the answer is negative.

Contrast ratio is a measurement that indicates the ability of a monitor to display colors by comparing the brightness of the brightest white to the darkness of the darkest black. The correct option is A.

The contrast ratio is usually expressed as a ratio, such as 1000:1 or 5000:1, with the first number indicating the brightness of the white and the second number indicating the darkness of the black. The higher the contrast ratio, the better the monitor is able to display a wide range of colors and shades. A high contrast ratio is important for tasks such as image and video editing, as it allows for more accurate color representation and contrast in the final product.

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Full Question ;

This indicates the monitor's ability to display colors by comparing the light intensity of the brightest white to the darkest black.

Question 1 options:

A) Contrast ratio

B) Dot Pitch

C) Active display area

D) Resolution

Contrast ratio Indicates a monitor's ability to display colors by comparing the light intensity of the brightest white to the

darkest black. The term you are looking for is "contrast ratio."

The brightness of the brightest shade (white) to the deepest shade (black) that the system is capable of producing is

measured as the contrast ratio (CR), a display system characteristic.

A display's desired feature is a high ratio of contrast. It resembles dynamic range in certain ways.

Ratings provided by various manufacturers of display devices are not always comparable to one another due to

differences in method of measurement, operation, and unstated variables.

This is because there is no official,  standardised way to measure contrast ratio for a system or its parts, nor is there a

standard for defining "Contrast Ratio" that is accepted by any standards organisation.[1] While other designers have

more frequently taken the effect of the environment into account, manufacturers have historically preferred

measurement methods that isolate the gadget from the system.

This is a key aspect of monitor performance, as it directly impacts the overall image quality and color reproduction.

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1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer:

Step-by-step explanation:

question 1.   13) 1/2 ( 4a + 12) =

(13(1/2) ) (4a) + (13(1/2) ) (12) = 26a+78

question 2.    (14)(4)b2+3.5−2a+3.5b2−a

=56b2+3.5+−2a+3.5b2+−a

Combine Like Terms:

=56b2+3.5+−2a+3.5b2+−a

=(56b2+3.5b2)+(−2a+−a)+(3.5)

=59.5b2+−3a+3.5

Answer:

7^2+2ab - 4b^2

Step-by-step explanation:

A² + b² = 7b

b² + (2b-a) ²= 7²

FOIL

b^2 +4b^2-4ba+a^2= 7^2

Rewriting

a^2 -2ab + b^2    +4b^2 -2ab = 7^2

Add 2ab and subtract 4b^2 from each side

a^2 -2ab + b^2    +4b^2 - 4b^2 -2ab+2ab = 7^2+2ab - 4b^2

a^2 -2ab + b^2    = 7^2+2ab - 4b^2

(a-b)^2 = 7^2+2ab - 4b^2

Answer:

1

Step-by-step explanation:

Y=2x+3

Y=2×(-1)+3

Y=1

Answer:

y=4

Step-by-step explanation:

Answer:

a.-22x²-14x

Step-by-step explanation:

2x(-11x-7)

multiply each term in the parentheses by 2x

2x*-11x - 2x*7

= -22x²- 14x

Answer:

\( \sf \: a) - 22 {x}^{2} - 14x\)

Step-by-step explanation:

Given expression,

→ 2x(-11x - 7)

Let's simplify the expression,

→ 2x(-11x - 7)

→ (2x × -11x) - (2x × 7)

→ (2 × -11)x² - (2 × 7)x

→ (-22)x² - (14)x

→ -22x² - 14x

Hence, option (a) is correct.

Answer:

here is my answer........

Step-by-step explanation:

(3-x)^2 = 9 - 3x - 3x + X2

= X2 - 6x +9

We will use the future value of a series formula to solve this problem. The terms you want me to include are invests, investment, and compounded.

Here's a step-by-step explanation:

1. Bill invests $160 at the start of each month for 22 months. This is a regular investment, and we will treat it as an ordinary annuity.

2. The investment yields 0.5% per month, compounded monthly. We'll convert the percentage to a decimal by dividing it by 100, so the monthly interest rate (r) is 0.005.

3. We will use the future value of an ordinary annuity formula to find the value of the investment at the end of 22 months:

FV = P * [(1 + r)^n - 1] / r

Where FV is the future value of the investment, P is the monthly investment ($160), r is the monthly interest rate (0.005), and n is the number of months (22).

4. Plug in the values and calculate:

FV = 160 * [(1 + 0.005)^22 - 1] / 0.005

FV = 160 * [(1.005)^22 - 1] / 0.005

FV = 160 * [1.113688 - 1] / 0.005

FV = 160 * 0.113688 / 0.005

FV = 3,627.232

The value of Bill's investment at the end of 22 months is approximately $3,627.23.

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Answer:

8.9x+1.66

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

Collect like terms (x's) 5.3x and 3.6x

8.9x - 8.14 + 9.8

Add your non variable numbers (-8.14 and 9.8)

8.9x + 1.66

Answer:15

Step-by-step explanation:

2(8+7) -3(5)

2(15)-15

30-15

=15

Using a t-distribution table or calculator, we get the t-score and are 98% positive that the interval (32.126, 53.874) includes the genuine population mean amount the medicine would drop a typical patient's systolic blood pressure to.

We must create a confidence interval for the population mean decrease in systolic blood pressure in order to calculate how much the medicine will reduce a typical patient's systolic blood pressure with a 98% confidence level.

CI = x t /2 * (s / n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, t /2 is the t-score for the desired degree of confidence, and is the significance level (1 - confidence level).

With the supplied variables plugged in, we obtain:

CI = 43 t0.01/2 * (11 / 10)

The t-score at a 98% confidence level and 9 degrees of freedom (n-1) are roughly 2.821, according to a t-distribution table or calculator.

We obtain the following number by substituting it:

CI = 43 2.821 * (11 / 10) = (32.126, 53.874)

As a result, we have a 98% confidence that the interval (32.126, 53.874) contains the actual population mean amount that the medication would reduce the systolic blood pressure of an average patient.

The following requirements must be met for the interval to be valid:

1. The sample is a straightforward random sample taken from the population.

2. For the Central Limit Theorem to be applicable, either the population is normally distributed or the sample size is sufficient (n > 30).

3. A fair estimate of the population standard deviation is the sample standard deviation (which is assumed to be unknown).

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Answer:

the answer is $57.67

Step-by-step explanation:

the way I found that solution $1.59 was 3% which winds up being 6% of the normal cost of the game which will be $57.77

Answer:

ok

Step-by-step explanation:

mark me brilliant

plzzz

The confidence associated with an interval estimate is called the confidence level.

When making an interval estimate, such as estimating a population parameter based on a sample, it is important to provide an indication of the level of confidence we have in the estimate. The confidence level represents the probability or level of certainty that the true population parameter falls within the calculated interval.

For example, if we calculate a 95% confidence interval for the mean height of a population, it means that we are 95% confident that the true population mean height lies within that interval. This implies that if we were to repeat the sampling and interval estimation process multiple times, approximately 95% of the intervals would contain the true population parameter.

The confidence level is typically expressed as a percentage, such as 90%, 95%, or 99%. A higher confidence level indicates a greater level of certainty in the interval estimate but also results in a wider interval.

In summary, the confidence level associated with an interval estimate represents the level of confidence or probability that the interval contains the true population parameter.

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The point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

What is graph of equation?

Write the equation in the form y = mx + b to determine the slope m and y-intercept (0, b). 2) Next, determine the y-intercept. 3) Depending on whether the slope is positive or negative, go up or down and left or right from the y-intercept.

We are looking for the values of x and y that satisfy both equations simultaneously. We can do this by setting the right-hand sides of the two equations equal to each other:

y = x + 3 (equation 1)

y = 2x + 5 (equation 2)

Setting the right-hand sides equal to each other, we get:

x + 3 = 2x + 5

Simplifying this equation, we get:

x = -2

Now that we have the value of x, we can substitute it into either of the two equations to find the corresponding value of y. Let's use equation 1:

y = x + 3

y = -2 + 3

y = 1

So, the values of x and y that make both equations true are:

x = -2

y = 1

Therefore, the point (-2, 1) satisfies both equations y = x + 3 and y = 2x + 5 simultaneously.

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The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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Answer:

Midpoint formula: (x1+x2/2, y1+y2/2)

Step-by-step explanation:

Take your x points and place them into the formula and then take your y points and do the same.

Answer:

(first)x+(second)x/2(fraction), (first)y+(second)y/2(fraction

Step-by-step explanation:

If you add the x values together and the y values together and divide them both by two you will get your x value for the midpoint and then your y value for the midpoint

Answer:

Step-by-step explanation:

I hope this helps you. Search up triangle maker and it should be the third link and then take a picture of it and that is your answer for the first 3.