The freezing temperature of water is 32 degrees Fahrenheit and the boiling temperature of water is 212 degrees Fahrenheit. Write an absolute
value equation that represents the minimum and maximum temperature of liquid water. Use x to represent the temperature.

Answer:

y=-3x-1

Step-by-step explanation:

Use point-slope form:

(y-2)=-3(x+1)

y-2=-3x-3

y=-3x-1

The equations have a solution of x = 6 and y = 8.

We will initially tackle one condition for one factor and afterward substitute that articulation into the other condition to utilize the replacement technique to settle the arrangement of conditions.

Let's begin with the fundamental condition: Y = (1/2)x + 5. By isolating it on one side, we can solve this equation for Y:

We will currently substitute method this articulation for Y in the subsequent condition: Y = (1/2)x + 5 2y = 2x + 4.

2(1/2)x + 5 = 2x + 4, which makes the equation easier to understand:

Isolating x from one side of the equation is the next step: x + 10 = 2x + 4. We acquire: by removing x from each side.

Since we have 10 = x + 4, we can take away 4 from the two sides to get:

6 = x We have discovered that the value of x is 6. To determine the value of y, we return this value to the initial equation:

Because Y = (1/2)(6) + 5 Y = 3 + 5 Y = 8, the equations have a solution of x = 6 and y = 8.

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Answer: $27.50

(correct me if i'm wrong, please)

Step-by-step explanation:

(22) + (22 * 0.20) + (20 * 0.05)

22 + 4.40 + 1.10

22 + 5.50

= $27.50

Answer:

8x+11=5x+2

8x-5x=2-11

3x=-9

÷by 3 both sides

x=-3

Answer:

17.37 (Ignore this it asked for 20 characters)

Answer:

x²-9

Step-by-step explanation:

x²-9 has two variable .

So it is binomial.

Answer:

I need a picture of the problem to be able to solve it.

Step-by-step explanation:

The calculated volume of the solid figure is 64 cubic cm

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

Dimensions = 4 cm by 4 cm by 4 cm

Using the above as a guide, we have the following:

Volume = Base area * Height

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

Volume = 4 *4 * 4

Evaluate

Volume = 64

Hence, the volume of the solid figure is 64 cubic cm

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Answer:

Step-by-step explanation:

large necklace; $5.70

$4.60 x 6= $27.60

$33.30 total

If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.

Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.

Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.

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Given,

The set is {2, {3}}.

The cardinity of the set is the number of elements in the set.

Consider,

A = {2, {3} }

The cardinity of the set is,

Hence, the cardinality of the set is 2.

The probability that either the professor shows up late to class, or he sleeps through his alarm, or both events occur is approximately 0.43. It is inconclusive whether events A and B are independent.

To find the probability that either the professor shows up late to class, or he sleeps through his alarm, or both events occur.

We can use the principle of inclusion-exclusion to find the probability of the union of two events, A (professor shows up late) and B (professor sleeps through his alarm). The formula is:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given probabilities:

P(A) = 0.47 (probability of showing up late)

P(B) = 0.53 (probability of sleeping through the alarm)

P(A ∩ B) = 0.57 (probability of showing up late given sleeping through the alarm)

Using the formula, we have:

P(A ∪ B) = 0.47 + 0.53 - 0.57 = 0.43

Therefore, the probability that either the professor shows up late to class, or he sleeps through his alarm, or both events occur is approximately 0.43.

To determine whether events A (professor shows up late) and B (professor sleeps through his alarm) are mutually exclusive.

Events A and B are mutually exclusive if and only if the probability of their intersection, P(A ∩ B), is equal to zero.

In the given question, it states that the probability that he shows up late given he sleeps through his alarm is 0.57. This indicates that P(A ∩ B) is not equal to zero.

Therefore, events A and B are not mutually exclusive.

To determine whether events A (professor shows up late) and B (professor sleeps through his alarm) are independent.

Events A and B are independent if and only if the conditional probability of A given B, P(A|B), is equal to the marginal probability of A, P(A), and vice versa.

In the given question, it does not provide any information about the conditional probability P(A|B) or P(B|A). Therefore, we cannot determine whether events A and B are independent based on the given information.

Therefore, it is inconclusive whether events A and B are independent.

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Answer:

Step-by-step explanation:

Answer: The answer is 4 What he said.

Answer:

370 hours.

Step-by-step explanation:

Divide $5,180/14 to get your answer of the hours she worked.

Answer:

370 hours is how many she worked

14×370= 5,180

hope this helps

Answer:

A

Step-by-step explanation:

First, we should put this equation in slope-intercept form by isolating y.

Thus, we have:

\(2x-\frac{4}{3}y=4\\ -\frac{4}{3}y=4-2x\\ y=\frac{3}{2}x-3\)

The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.

Only answer A meets these requirements.

Answer:

Base = 353.55 sq cm

Step-by-step explanation:

10 by 10 triangle = 45 45 90 traingle

hypotenuse = 10√2

A = 10√2 by 25

Step-by-step Explanation :-

Hey there,

As per question,

\( \frac{24}{ \frac{(8 \times 3)}{4} \times 2} \times (15 - 4)\)

\( = > \frac{24}{ \frac{24}{2}} \times 11\)

\( = > 24 \times \frac{2}{24} \times 11\)

Now cancelling both 24's we get :

\( = > 2 \times 11\)

\( = > 22\)

Therefore, The answer is 22

《 For smaller step, check the attached image also》

~Benjemin360

Have a great day :)

Answer:

Brooke runs the fastest.

Step-by-step explanation:

Brooke runs 13 feet per second.

Therefore, speed of Broke = 13 feet per sec.

Will runs 308 feet in 26 seconds.

Speed of Will = \(\frac{\text{Distance}}{\text{Time taken}}\)

                       = \(\frac{308}{26}\)

                       = 11.85 feet per second

Ron runs 1 mile in 551 seconds.

1 mile = 5280 feet

Speed of Ron = \(\frac{5280}{551}\)

                       = 9.58 feet per second

Debbie runs 658 feet in 1 minute.

1 minute = 60 seconds

Speed of Debbie = \(\frac{658}{60}\)

                             = 10.97 feet per seconds

Here, speed of Brooke is the maximum.

Therefore, Brooke runs the fastest.

Answer:

[see below]

Step-by-step explanation:

"The product of 5 and a number x is 14" would be:

\(5x=14\)

\(5x=14\\\\\frac{5x=14}{5}\\\\ \boxed{x=2 \frac{4}{5}}\) or 2.8

Hope this helps.

Answer:

yes they form a proportion

Step-by-step explanation:

1 to 3 and 7 to 21 are equal

we can check this by multiplying each number in the 1 to 3 ratio by 7 to make it equal with the other ratio, 7 to 21.

(sorry if this is confusing but I hope it helped)

Answer:

A

Step-by-step explanation:

To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have two circles:

Circle A has a center of (2, 3) and a radius of 5

Circle B has a center of (1, 4) and a radius of 10

The standard circle's equation can be written as:

(x - h)² + (y - k)² = r²

The equation for circle A:

(x - 2)² + (y - 3)² = 5²

The equation for circle B:

(x - 1)² + (y - 4)² = 10²

To show that circle A is similar to circle B:

It is required to perform the geometric transformation:

Dilate circle A by a scale factor of 2.

The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.

Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

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Answer:

Y Intercept= -3

Equation= y=3x-3

Step-by-step explanation:

Correct answer is H, On solving the provided question, we can say that inequality is graphed below is X less than/equal to x ≤ 15

A relationship between two expressions or values that is not equal in mathematics is referred to as an inequality. Thus, inequity results from imbalance. In mathematics, an inequality establishes the connection between two non-equal numbers.

Egality and inequality are not the same. Use the not equal symbol most frequently when two values are not equal ().

Values of any size can be contrasted using a variety of inequalities. By changing the two sides until only the variables are left, many straightforward inequalities can be solved.

However, a variety of factors support inequality: Both sides' negative values are split or added. Exchange the left and the right.

As, the graph is pointing backwards from 15,

⇒ the values are less than equal to 15,

⇒ the inequality which follows criteria is  x ≤ 15

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Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)