solve the equation for x and list all possible value for x. [x-9]+2=5
absolute value.​

The person that has the winning time is Alex.

From the information given, three runners run 100 yards race. Sara runs the race in 9.25 seconds and Alex runs the race in 8.625 seconds and Tonya runs the race in 9.8 seconds.

It should be noted that in a race, the person that has the lowest time wins.

In this situation, the person with 8.625 seconds is the lowest.

Therefore, Alex wins.

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We can conclude that the supplement angle of 89° will be 91°.

Angles that add up to 180 degrees are referred to as supplementary angles.

For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.

The sum of complementary angles is 90 degrees.

Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.

So, we have an angle of 89°.

We know that the supplement angle is an angle of measure 180°.

Now, the supplement angle of 89° will be as follows:

180 - 89

91°

Therefore, we can conclude that the supplement angle of 89° will be 91°.

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Answer:

9604 American adults must be interviewed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

How many adults must be interviewed for the margin of error to be 0.01?

This is n, which is found for M = 0.01.

We have no estimate for the proportion, so we use \(\pi = 0.5\), which is when the largest sample size will be needed.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.01\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.01}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.01})^2\)

\(n = 9604\)

9604 American adults must be interviewed.

Answer:

if one hour is 0.09

24hours is 0.09x24=2.16 a day

a month is 2.16x30= 64.8

4months =64.8x4= $259.2

that's the answer.

Fitness increases with energy intake rate was an assumption varied by Lima, Valone, & Caraco (1985) in their model of squirrel food carrying

Now, According to the question:

A parameter is used to describe the entire population being studied. For example, we want to know the average length of a butterfly. This is a parameter because it is states something about the entire population of butterflies.

Fitness increases with energy intake rate varied by Lima, Valone and Caraco (1985) in their model of squirrel food carrying.

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The given question is incomplete, complete question is:

Mathematical models allow researchers to make different predictions by varying assumptions. Which of the following parameters was an assumption varied by Lima, Valone, & Caraco (1985) in their model of squirrel food carrying?

It would take 18 days for 4 workers to complete the job.

Step-by-step explanation:

As d goes up, w goes down by the same amount.

X = 9*8 = 72

18*4 = 72

likewise, 2*36 = 72

3*24 = 72

6*12 = 72

And so on....

Answer:

x²/9 − (y + 1)²/81 = 1

Step-by-step explanation:

-2y − 82 + 9x² = y²

9x² = y² + 2y + 82

9x² = y² + 2y + 1 + 81

9x² = (y + 1)² + 81

9x² − (y + 1)² = 81

x²/9 − (y + 1)²/81 = 1

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Answer:

.250 L

Step-by-step explanation:

We know that 1 L = 1000 mL

250 mL * 1L /1000 mL = .250 L

Answer:

Step-by-step explanation:

its 1/25 or .25 liters. A milliliter (ml) is one thousandth of a liter, so 1000 ml would be 1 liter. Btw, why is he measuring broccoli in ml?

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The highest integer that the student can possibly score is given as follows:

92.

If the student does not study, the grade that he should expect is of:

56.

The exponential function for this problem is defined as follows:

P(t) = 36(1 - e^(-0.24t)) + 56.

In which:

The highest grade is for large values of t, meaning that e^(-0.24t) = 0, and thus:

P(t) = 36 + 56

P(t) = 92.

If the student does not study, we have that t = 0, hence the grade is given as follows:

P(0) = 36(1 - e^(-0.24 x 0)) + 56

P(0) = 0 + 56

P(0) = 56.

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Answer:

-1 5/12

Step-by-step explanation:

1 1/2+3/4÷(−1/3)−2/3

3/2-2/3+3/4*3/-1

9-4/6-9/4

5/6-9/4

20-54/24

-34/24

-17/12

-1 5/12

\(\\ \sf\longmapsto y=2x-x^2\)

\(\\ \sf\longmapsto 2x-x^2=0\)

\(\\ \sf\longmapsto x^2-2x=0\)

\(\\ \sf\longmapsto x(x-2)=0\)

\(\\ \sf\longmapsto x=0,2\)

⇒ y=2x−x2

⇒ 2x - x² = 0

⇒ x² - 2x = 0

⇒ x ( x - 2 ) = 0

⇒ x = 0, 2

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function.

STEP 2: Explain the means to use to find the required values

Since we were given a graph and can not use a caculator, we will be using the graph to get the values.

STEP 3: Plot the given function on a graph

STEP 4: Get the domain of the function

Domain: The domain is all x-values or inputs of a function. The domain of a graph consists of all the input values shown on the x-axis.

STEP 5: Get the Range of the function

The range is all y-values or outputs of a function.

STEP 6: Get the value on which the function is increasing on

STEP 7: Get the value on which the function is decreasing on

STEP 8: Get the values of the asymptotes

An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value. In the previous graph, there is no value of x for which y = 0 ( ≠ 0), but as x gets very large or very small, y comes close to 0.

Answer:

Uh i think 3?

Step-by-step explanation:

well 2 x 3 is 6, so if i had to assume i think 3, the whole number is 2 though

Answer:

9

Step-by-step explanation:

6/(2/3)= 6*3/2=18/2=9

Answer:

1:3

Step-by-step explanation:

4:12 = 1:3

Answer:

1 : 3

Step-by-step explanation:

4 squares : 12 triangles

4 : 12

1 : 3

Answer:

 \(r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r\)

Step-by-step explanation:

In general, remember that the converse of    \(a => b\)       is     \(\neg b => \neg a\) , therefore in this case  \(a = r \ \ , b = \neg q \ \lor p\)

so   \(r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r\)

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

B

Step-by-step explanation:

Answer:

a

   The  90%  confidence interval is  \(52561.13 < \mu < 57540.8\)

b

Confidence interval for the population men between $52561.13  up to $57540.8

Step-by-step explanation:

From the question we are told that

   The sample size is  \(n = 25\)

     The  sample mean is  \(\= x = \$ 55,051\)

     The standard deviation is  \(\sigma = \$ 7,568\)

Given that the confidence level is  90% then the level of confidence is mathematically represented as

             \(\alpha = 100 -90\)

              \(\alpha = 10\%\)

             \(\alpha = 0.10\)

Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table the values is  

               \(Z_{\frac{\alpha }{2} } = 1.645\)

Generally the margin of error is mathematically  represented as

               \(E = Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }\)

substituting values

               \(E = 1.645 * \frac{ 7568}{ \sqrt{ 25} }\)

             \(E = 2489.9\)

The 90% confidence interval is mathematically evaluated as

       \(\= x -E < \mu < \= x +E\)

substituting values

     \(55051 - 2489.8 < \mu < 55051 + 2489.8\)

     \(52561.13 < \mu < 57540.8\)

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

56 inches I believe.

I'm not 100% sure.

The surface area is 50 square inches

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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