If p x 5/6 = 4, what is p​

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x)    Output (y)

6                14

12               15

15               15

25              16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Answer:

a median

b center

Step-by-step explanation:

The middle value of a set of numbers is the median

The mean is the average value and the range is the largest minus the smallest.

This value is  a measure of the center ( or a measure of the middle)

The range is a measure of the spread

Answer:

(a) is median and (b) is center.

450/6 = X/1

75 = X

Rachel can type 75 words in a minute!

Answer:

Step-by-step explanation:

                                                        1

Tyler correctly rewrote x^(-3) as ------- , but

                                                       x³

                                                       1

he incorrectly wrote y^(-9) as   ---------

                                                    y^(-9)

Both x^9 and y^9 should be in the denominator.  This corresponds to the 2nd given possible answer.

Answer:

B:Both powers should be in the denominator with positive exponents.

Step-by-step explanation:

We are given that Tyler simplified an expression

[tex]x^{-3}y^{-9}[/tex]

We have to find an error which Tyler makes in her simplification

Step 1: [tex]x^{-3}y^{-9}[/tex]

Step 2:[tex]\frac{1}{x^3}\cdot y^{-9}[/tex]

Step 3:[tex]\frac{1}{x^3y^9}[/tex]

Hence, Tyler's error is both exponents should be denominator with positive exponents.

Answer:B:Both powers should be in the denominator with positive exponents.

Answer:

2/5 an acre

Step-by-step explanation:

We multiply the 5/6 hour by 6/5 to get 1 hour.

We then have to do this to the 1/3 and we get 6/15 or 2/5

Jorge mows 2/5 acres per hour. This is calculated by dividing the fraction of the acre mowed by the fraction of the hour taken. The result from the calculation shows that Jorge’s mowing rate is 2/5 acres per hour.

To find out how many acres Jorge will mow in an hour, we need to determine his mowing rate in acres per hour. We know that Jorge mows 1/3 acre in 5/6 hour. We can use the formula for rate:

Rate = Distance / Time

Here, the distance is 1/3 acre and the time is 5/6 hour. So, we can calculate his rate:

Rate = (1/3) / (5/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

Rate = (1/3) * (6/5) = 6/15 = 2/5

Therefore, Jorge mows 2/5 acres per hour.

Answer: 265

Step-by-step explanation: In order to find the sum of the first 10 terms in the series you need to first identify what the series is. The numbers are being reduced by 3 for each number, so the the first 10 terms would be 40, 37, 34, 31, 28, 25, 22, 19, 16, 13

The sum means the total of them all added together, which is 265.

The answer to this question is 265

Answer:

2.875 mi  

Step-by-step explanation:

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/map distance = 5.75 mi/2 in

or 1 in = 2.875 mi

On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.

A model's scale ratio is the proportionate ratio of a linear dimension. The actual distance from the library to the park is 2.875 miles.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

Given that the actual distance from Micah's house to school is 5.75 miles, while the same distance on the map is represented by 2 inches. Therefore, the scale ratio can be written as,

Scale Ratio = Distance on Map/ Distance in real

                   = 2 inches / 5.75 miles

Now, the distance between the library and the park is given 1 inch on the map. Therefore, using the scale ratio, the actual distance from the library to the park is,

Scale Ratio = Distance on Map/ Distance in real

2inches /5.75 miles = 1 inch/ Distance in real

Distance in real = (5.75 miles×1 inch)/2 inches

Distance in real = 2.875 miles

Hence, the actual distance from the library to the park is 2.875 miles.

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Answer:

Step-by-step explanation:

"F" is the name of a function.  If we choose "60" as the input to this function, the resulting output vaue is 86.  The function F maps 60 (input) onto 86 (output).

check the superb reply above, however to the risk of sounding redundant.

[tex]\bf f(\stackrel{\stackrel{in put}{x}}{60})=\stackrel{\stackrel{ou tput}{f(x)}}{86}~\hspace{8em} \stackrel{x}{in put}\textit{ of 60, will yield an }\stackrel{f(x)}{out put}\textit{ of 86}[/tex]

Answer:

A

Step-by-step explanation:

Zero property of multiplication states that anything multiplied by 0 is 0.

Answer:

$2,031.08

Step-by-step explanation:

You want to calculate the interest on $1475 at 7.54% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

                                                    I=P x r x t

P is the principal amount, $1475.00.

r is the interest rate, 7.54% per year, or in decimal form, 7.54/100=0.0754.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 1475 × 0.0754 × 5 to get that:

The interest is: $556.08

Usually now, the interest is added onto the principal to figure some new amount after 5 year(s),

or 1475.00 + 556.08 = 2031.08. For example:

If you borrowed the $1475.00, you would now owe $2031.08

If you loaned someone $1475.00, you would now be due $2031.08

If owned something, like a $1475.00 bond, it would be worth $2031.08 now.

Answer:

18

Step-by-step explanation:

x = the number of free throws

y = the number of 2 pointers

z = the number of 3 pointers

x + 2y + 3z = 81

x + y + z = 46

y = 3z

x = 18 free throws

y = 21 two pointers

z = 7 three pointers

Kobe Bryant made 18 free throws.

Answer:

Step-by-step explanation:

good question

The exact volume of the figure made up of two cones and a cylinder with a 4 cm diameter is [tex]\(76 \pi \, \text{cm}^3\)[/tex], which is approximately 238.64.

1. Volume of the Cylinder:

  [tex]\[ V_{\text{cylinder}} = \pi \times (2 \, \text{cm})^2 \times 17 \, \text{cm} \][/tex]

  [tex]\[ V_{\text{cylinder}} = \pi \times 4 \, \text{cm}^2 \times 17 \, \text{cm} \][/tex]

  [tex]\[ V_{\text{cylinder}} = 68 \pi \, \text{cm}^3 \][/tex]

2. **Volume of each Cone:**

 [tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \times (2 \, \text{cm})^2 \times 3 \, \text{cm} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \times 4 \, \text{cm}^2 \times 3 \, \text{cm} \][/tex]

[tex]\[ V_{\text{cone}} = 4 \pi \, \text{cm}^3 \][/tex]

  Since there are two cones, the total volume for the cones is [tex]\(2 \times V_{\text{cone}} = 8 \pi \, \text{cm}^3\)[/tex].

3. Total Volume:

[tex]\[ V_{\text{total}} = V_{\text{cylinder}} + 2 \times V_{\text{cone}} \][/tex]

[tex]\[ V_{\text{total}} = 68 \pi + 8 \pi \, \text{cm}^3 \][/tex]

[tex]\[ V_{\text{total}} = 76 \pi \, \text{cm}^3 \][/tex]

Now, the exact volume is [tex]\(76 \pi \, \text{cm}^3\)[/tex]. To find the numerical approximation, you can use the value of [tex]\(\pi\)[/tex], which is approximately 3.14.

[tex]\[ V_{\text{total}} \approx 76 \times 3.14 \, \text{cm}^3 \approx 238.64 \, \text{cm}^3 \][/tex]

Answer:

6 runners

Step-by-step explanation:

the total divided by the distance each runner will run

1.5/0.25=6

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle

noting that sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{h}[/tex]

Multiply both sides by h, then

h ×[tex]\frac{1}{\sqrt{2} }[/tex] = 8

Multiply both sides by [tex]\sqrt{2}[/tex]

h = 8[tex]\sqrt{2}[/tex] → D

Answer:

In the event that this is the practice, these are the correct answers.

1.d

2. c

3. a

4.a

5.c

6.b

Step-by-step explanation:

Answer:

mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a data set is the average distance between each data point and the mean. It gives us an idea about the variability in a data set since it is a measure of dispersion

Final answer:

The average distance of all data values from the mean of the data is called the 'standard deviation'. It measures how data points vary from the mean and indicates the data's spread. Standard deviation is calculated by finding the square root of the average squared deviations from the mean.

Explanation:

The Average Distance of Data Values from the Mean

The average distance of all data values from the mean of the data is referred to as the standard deviation. This statistical measure expresses the extent to which data points in a data set diverge from the average, or mean, value. When the standard deviation is small, it indicates that the data points are clustered closely around the mean, showing little variation. Conversely, a large standard deviation suggests that the data points are spread out over a wider range, signifying greater dispersion in the data set.

The calculation of the standard deviation starts with computing the variance, which is the average of the squared deviations from the mean. The formula for variance is s² = Σ(Yi - Y)² / (n - 1), where s² is the variance, Yi represents each data point, Y is the mean of the data, and n is the sample size. After calculating the variance, the standard deviation is found by taking the square root of the variance.

This is the following way to solve this problem:

3x-10(x+2)=13-7x

3x-10x-20=13-7x        (multiply 10 times what's in the parentheses)

-7x-20=13-7x              ( subtract 3x from -10x)

-7x-20-13=-7x             ( since the 13 is positive, when we move it to the other

                                   side, we change it's sign, so now we subtract 13 from 20

-7x-7=-7x

-7=-7x+7x                   ( we do the same thing we did above, now with the -7x)

-7=x

x=-7

Answer: x = -7

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

: )

Answer:

B and D

Step-by-step explanation:

The surface area is the area of each face of the cube. The volume is the amount that will fill the cube. These are two separate processes which cannot give you the same measurement by calculating one part of the surface area. B is false.

Doubling the sides of the cube will not double the surface area. It will quadruple it. D is false too.

Red - 5/10

Green - 3/10

Yellow 2/10

Easyyy

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You replace the balls, so the type of probability is independent.

First of all, the probability of getting a red ball is:

5/10 or 1/2

As you can see, the probability of getting a green ball is:

3/10

Lastly, the probability of getting a yellow ball is:

2/10 or 1/5

The sum of all of them added together is always:

10/10, or 1

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬TROLLER (don't worry i didn't troll you)

Answer:

384 inches

Step-by-step explanation:

8 x 8 = 64

one face of the box is 64

6 faces of the box would be 384

12x2-3=21

this would be your equation because there are 12 tigers

Answer:

[tex]j=1+6d[/tex]

Step-by-step explanation:

Jayden jars jams at a rate of 6 liters per day which can be represented by the variable [tex]6d[/tex]. In other words, the amount of jam Jayden will have made in the end (j) is 6 liters multiplied by the number of days (d) he spent jarring jam.

However, Jayden has already jarred 1 liter of jam which has to be factored into the end total (j). To factor this liter in, you can add 1 (liter) to 6d.

Answer:

5/4

Step-by-step explanation:

We have two points so we can use the formula for slope

(-3,-2) (1,3)

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

   = (3--2)/(1--3)

    = (3+2)/(1+3)

    =5/4

The slope is 5/4

5/4 is the slope

Count the rise over run and you will get the slope

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

                   cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

The value of X from the given equation above would be =1.526

To determine the missing value in the equation above, the following steps needs to be considered as follows:

The equation ;

9x² - 21 = 0

9x² = 21

make x² the subject of formula;

x² = 21/9

= 2.33

X = √2.33

= 1.526

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Answer:

A, D, F

Step-by-step explanation:

A. True, because [tex]f(x)=-(x+7)^2+4[/tex] represents quadratic function (the greatest power of x is 2)

B. False, because this function is quadratic, so cannot be linear

C. False. The vertex of the parabola is at point (-7,4) (see diagram)

D. True. The axes of symmetry is the line x=-7 that passes through the vertex.

E. False. The y-intercept is at point x=0 and [tex]y=-(0+7)^2+4=-49+4=-45.[/tex]

F. True. The graph has the maximum at vertex, where [tex]y_{max}=4.[/tex]

G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.

Answer:

D. 20 equal-sized sections

Step-by-step explanation:

-48x - 96 (multiply -12 by both numbers separately)

Answer:

-12×4x + -12×8

-48 + -96

Step-by-step explanation:

Answer:

[tex]m\angle 5=76\degree[/tex].

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

[tex]m\angle 5=76\degree[/tex].

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the [tex]76\degree[/tex] angles are alternate interior angles.

Answer:

1 1/4

Step-by-step explanation:

subtract 1 1/2 from 2 3/4

After using part of his flour, Henry subtracts the amount used from the initial amount to find that he has 1 cup of flour left.

The question asks about subtracting fractions in order to determine how much flour is left after some is used. We start with Henry's initial amount of flour, which is 2 3/4 cups, and subtract the amount he used to bake muffins, which is 1 1/2 cups. To perform this subtraction, we first need to have the fractions with a common denominator. Since 4 is the least common multiple of 4 and 2, we convert 1 1/2 to 3/4. Now, we have 2 3/4 cups - 1 3/4 cups, which can be simplified step-by-step:

Therefore, Henry has 1 cup of flour left after making muffins.

To provide another example, if we were to reference a cooking equation like the one for biscuits, where 2 cups of flour make 12 biscuits, we could determine how much product we can make with a given amount of reactants (flour). Similarly, with the given measurements in the question, we are finding the remainder of the reactant (flour) after it's been partially used.