Does 15,20,25 represent a pythagorean triple?

Answer:

Step-by-step explanation:

Put x = -15 to the equation y = 2x - 3:

y = 2(-15) - 3 = -30 - 3 = -33

Answer:

y = 27

Step-by-step explanation:

[tex]y=2x-3[/tex]

[tex]y=2(15)-3[/tex]

[tex]y=30-3[/tex]

[tex]y=27[/tex]

Answer: it is (-2,2)

Step-by-step explanation:

You go on the -2 point on the x axis and 2 block up from that point to get (-2,2).

Answer:

the equation is 0 = -3x - 5 + x^2

Answer:  The correct option is

(A) [tex]0=-3x-5+x^2.[/tex]

Step-by-step explanation:  We are given to select the correct quadratic equation that has an a-value of 1, b-value of -3 and c-value of -5.

We know that

a general quadratic equation is of the following form :

[tex]ax^2+bx+c=0,~~a\neq0,[/tex]

where a is the coefficient of x²,

b is the coefficient of x

and

c is the constant term.

For the given equation, we get

the coefficient of x², a = 1,

the coefficient of x, b = -3

and

the constant term, c = -5.

Therefore, the required equation is

[tex]1\times x^2+(-3)\times x+(-5)=0\\\\\Rightarrow 0=-3x-5+x^2.[/tex]

Thus, (A) is the correct option.

[tex]\bf \begin{array}{ccll} books&price\\ \cline{1-2} 8&y\\ 3&x \end{array}\implies \cfrac{8}{3}=\cfrac{y}{x}\implies 8x=3y\implies x=\cfrac{3}{8}y[/tex]

Final answer:

To determine the price of 3 books when given the cost of 8 similar books, you divide the total cost by 8 to find the price per book, then multiply this price by 3.

Explanation:

The student asked: At a bookstore, 8 similar books cost y dollars. What is the price of 3 such books? To find the price of one book, we divide the total cost y by the number of books, which is 8. Let's call the price of one book x. So, x = y/8.

To find the price of 3 books, we multiply the price of one book by 3. Hence, the price of 3 books would be x times 3 or (y/8) times 3, which can be simplified to 3y/8.

Thus, the price of 3 such books is 3y/8 dollars.

Answer:

See below.

Step-by-step explanation:

The graph of ƒ(x) = x² is the red parabola in Figure 1.

Step 1. Vertex of g(x)

g(x) = (x – 1)² + 2

The graph of g(x) will be a parabola like that of ƒ(x) translated one unit to the right and two units up.

The vertex of ƒ(x) is at (0, 0), so the vertex of g(x) is at (1, 2). See Figure 1.

Step 2. Calculate two more points

(a) Try x = 0

g(0) = (0 – 1)² + 2 = 1² + 2 = 1 + 2 = 3

So, there is a point at (0, 3).

(b) Try x = 2

The axis of symmetry is a vertical line passing through the vertex at x = 1. We have calculated a point one unit left of the axis (at x = 0), so let's calculate a point one unit to the right, at x = 2.

g(2) = (2 – 1)² + 2 = 1² + 2 = 1 + 2 = 3

So, there are points at (2, 3) and (1,3). See Figure 2.

Step 3. Sketch the graph of g(x)

Draw a smooth curve through the three points. Extend the arms of the parabola vertically so the graph has the same shape as that of ƒ(x).

Your graph should look like the blue parabola in Figure 3.

Answer:

they are correct, here's proof

Answer: 10 square units

Answer:6 square units

Step-by-step explanation: count the top its 6 plus i did the test for my brother

-3+8+9+-7+13 divided by 5 which is 4

The integer represents her average score for 5 rounds will be 4.

Arithmetic mean is the best central measure available for representing the values of a data set.  It is also called average of the values of the considered data set. It serves as one representation of the values of the data set. If for a data set, only its average is given, then we can't say much about the values of the data set. Average provides ill information in case of skewed data.

WE have given that 5 rounds of a game, jill scored -3, 8, 9, -7, and 13.

Then total number of score = - 3+8+9+-7+13

= 20

The total number of round in game = 5

Therefore,

Average =  the total number of score/ number of rounds

Average = - 3+8+9+-7+13 / 5

Average = 20/5

Average = 4

Hence, the integer represents her average score for 5 rounds will be 4.

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Answer:

Step-by-step explanation:

38=2(5)+2(x ) find X  

2x5-10

38-10=28

28/2=14  

14/2=7

x =7

so you length is 7

The dimensions of the rectangle are length = 12 cm and width = 7 cm by solving equations of given the width of a rectangle is 5 cm less than the length and the perimeter is 38 cm.

Let's represent the length of the rectangle as "L" and the width as "W".

According to the given information:

The width is 5 cm less than the length, so we can write W = L - 5.

The perimeter of a rectangle is given by the formula P = 2(L + W),

where P is the perimeter, L is the length, and W is the width.

In this case, the perimeter is 38 cm, so we have

38 = 2(L + W).

Now we can use these equations to find the dimensions of the rectangle.

Substitute the value of W from the first equation into the second equation:

38 = 2(L + (L - 5))

Simplify the equation:

38 = 2(2L - 5)

38 = 4L - 10

Add 10 to both sides:

48 = 4L

Divide both sides by 4:

L = 12

Now we can substitute the value of L into the first equation to find the width:

W = L - 5

W = 12 - 5

W = 7

Therefore, the dimensions of the rectangle are length = 12 cm and width = 7 cm by solving equations of given the width of a rectangle is 5 cm less than the length and the perimeter is 38 cm.

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Answer:

[tex]2(8x+3y)^2)[/tex]

Step-by-step explanation:

The given expression is [tex]128x^2+96xy+18y^2[/tex].

We factor the GCF to get:

[tex]2(64x^2+48xy+9y^2)[/tex]

This can be rewritten as:

[tex]2[(8x)^2+2(3\times8)xy+(3y)^2][/tex]

We can observe that the quadratic trinomial is a perfect square)

[tex]2(8x+3y)^2)[/tex]

Therefore the completely factored form of the given trinomial is [tex]2(8x+3y)^2)[/tex]

Answer:

C.-19

Step-by-step explanation:

add -2 to each interval

6 to 7 =-11-2=-13

7 to 8 =-13-2=-15

8 to 9=-15-2=-17

9 to 10=-17-2=-19

Answer:

20.6

Step-by-step explanation:

Use the trig function Cosine to find the length of the ramp. The cosine function is defined as the ratio adjacent side over hypotenuse. The base 20 is the adjacent side to the angle 14 while the length of the ramp is the hypotenuse. Using the function we write, cos 14 = 20 / x. Solve for x.

Cos 14 = 20 / x

x*Cos 14 = 20

x = 20 / cos 14

x = 20.6

Answer:

Your can times them all up

Step-by-step explanation:

BC=1/2 AC must be true because B is a mid point so BC=AB=1/2AC

Given that B is the midpoint of AC

AC= AB + BC

Since AB = BC

AC = 2 [tex]\times[/tex] BC

so BC = [tex]\frac{1}{2} \times[/tex]AC

If the Length of BC = Length of BD then they are said to be congruent.

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Answer:

5 students out of each of the 4 homeroom classes (C)

Step-by-step explanation:

Answer:

c 5 students out of each of the 4 homeroom classes

i got it right on edge

Answer:

If you mean: y =(lnx)

3  

then:  

dy  

/dx = [3(lnx)

Step-by-step explanation:

The value of the function f(3) when, given that differencial function f'(x) = 6lnx and f(2) = -3.682, is 1.7748.

Integration is the operation which is used to find the original function from its darivative form.

The differencial function is given that

[tex]f'(x) = 6\ln x[/tex]

Integrate this function, with respect to the x,

[tex]f(x) =\int { 6\ln x} \, dx\\f(x) =6(\int { \ln x} )\, dx\\f(x) =6(x\ln x-\int { 1} \, dx)+C\\f(x) =6(x\ln x-x)+C\\f(x)=6x(\ln x-1)+C[/tex]

The value of function at 2 is,

[tex]f(2) = -3.682[/tex]

Put this value in the above equation as,

[tex]f(2)=6(2)(\ln (2)-1)+C\\-3.682=12(0.6931-1)+C\\-3.682=-3.682+C\\0=C[/tex]

Hence the value of constat is 0. Thus, the  value of function at 3 is,

[tex]f(3)=6(3)(\ln (3)-1)+0\\f(3)=18(1.0986-1)\\f(3)=1.7748[/tex]

Hence, the value of the function f(3) when, given that differencial function f'(x) = 6lnx and f(2) = -3.682, is 1.7748.

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False, The claim that the range of the data set (16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18) is 97 is false. The actual range is the difference between the largest and smallest values, which is 10.

The task is to determine whether the statement that the range of the provided data set is 97 is true or false. First, let's define the range. It is the difference between the smallest and largest numbers in a data set. Looking at the data provided: 16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18, we find the smallest value to be 8 and the largest to be 18.

To calculate the range, we subtract the smallest number from the largest: 18 - 8 = 10. Consequently, the initial claim that the range is 97 is false. The correct range of this data set is, in fact, 10.

The given statement the range of the set of data below is 9 is false.

The correct answer is False.

To find the range of a set of data, we subtract the smallest value from the largest value.

Step 1: Identify the smallest and largest values in the data set.

  Smallest value: 7

  Largest value: 18

Step 2: Calculate the range.

  Range = Largest value - Smallest value

  Range = 18 - 7

  Range = 11

Step 3: Compare the calculated range with the given range.

  Given range = 9

  Calculated range = 11

Since the calculated range (11) does not match the given range (9), the statement "The range of the set of data below is 9" is False.

The range of a data set measures the spread or dispersion of the data. It is calculated by finding the difference between the largest and smallest values in the data set. In this case, the smallest value is 7 and the largest value is 18. Therefore, the range is 18 - 7 = 11. This contradicts the given range of 9, making the statement false. In summary, the correct answer is False, and the range of the given data set is 11.

Complete question:

The range of the set of data below is 9

7. 16, 8, 16, 14, 10, 9, 8, 11, 12, 13, 18

True

False

Answer:

[tex]a_{n}[/tex] = 8 - 11n

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

here a = - 3 and

d = - 14 - (- 3) = - 14 + 3 = -11, thus

[tex]a_{n}[/tex] = - 3 - 11(n - 1)

                        = - 3 - 11n + 11

                        = 8 - 11n

The explicit formula for the sequence -3, -14, -25, -36, ... is An = -11n + 8.

The student asked for an explicit formula for the sequence -3, -14, -25, -36, and so forth. We notice that each term decreases by 11 from the previous term. To find an explicit formula, we can use the arithmetic sequence formula which is given by An = A1 + (n - 1)d, where An is the n-th term, A1 is the first term, n is the term number, and d is the common difference between the terms.

For the given sequence, the first term A1 is -3 and the common difference d is -11. Substituting these values into the formula, we get An = -3 + (n - 1)(-11). We can simplify this to An = -3 - 11n + 11, which simplifies further to An = -11n + 8. Hence, the explicit formula for the given sequence is An = -11n + 8.

Answer:

Option A. (4,4)

Step-by-step explanation:

step 1

Find the slope of the line k

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

[tex]m1*m2=-1[/tex]

The slope of the given line is [tex]m1=3[/tex]

so

The slope of the line k is

[tex]m2*(3)=-1[/tex]

[tex]m2=-\frac{1}{3}[/tex]

step 2

Find the equation of the line k

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-\frac{1}{3}[/tex]

[tex]point(1,5)[/tex]

substitute the values

[tex]y-5=-\frac{1}{3}(x-1)[/tex]

step 3

Verify if the line k pass through the given points

Remember that

If the line passes through a point, then the value of x and the value of y of the point must satisfy the equation of the line

Verify each case

case A) (4,4)

[tex]4-5=-\frac{1}{3}(4-1)[/tex]

[tex]-1=-\frac{1}{3}(3)[/tex]

[tex]-1=-1[/tex] ----> is true

therefore

The line k pass through the point (4,4)

case B) (-2,-5)

[tex]-5-5=-\frac{1}{3}(-2-1)[/tex]

[tex]-10=-1[/tex] -----> is not true

therefore

The line k not pass through the point (-2,-5)

case C) (3,6)

[tex]6-5=-\frac{1}{3}(3-1)[/tex]

[tex]1=-\frac{2}{3}[/tex] -----> is not true

therefore

The line k not pass through the point (3,6)

case D) (9,-1)

[tex]-1-5=-\frac{1}{3}(9-1)[/tex]

[tex]-6=-\frac{8}{3}[/tex] -----> is not true

therefore

The line k not pass through the point (9,-1)

See attached pic

x = -10 is your answer

Answer:B) (8x5)xb

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

[tex]48.98\%[/tex]

Step-by-step explanation:

we know that

The probability that it will hit a point in the outer (yellow) ring is equal to divide the area of the yellow ring by the total area of the target

step 1

Find the area of the yellow ring

[tex]A=\pi [7^{2} -5^{2}][/tex]

[tex]A=24\pi\ cm^{2}[/tex]

step 2

Find the total area of the target

[tex]A=\pi [7^{2}][/tex]

[tex]A=49\pi\ cm^{2}[/tex]

step 3

Find the probability

[tex]24\pi/49\pi=0.4898[/tex]

Convert to percentage

[tex]0.4898*100=48.98\%[/tex]

Answer:

0.38468

Step-by-step explanation:

To know the probability we need to know the area of the yellow zone and the area of the rest. So, the yellow circle (that contains white, red and blue circle) has a radius of 1+2+2+2=7. Then the area is

Area yellow= [tex]\pi r^{2}= \pi *7^{2}=49\pi.[/tex]

But, the yellow zone is yellow circle - blue circle.

Area blue = [tex]\pi r^{2}= \pi *(1+2+2)^{2}=\pi *5^{2}=25\pi.[/tex]

Then, the yellow zone will be  [tex]49\pi-25\pi=24\pi.[/tex]

Area target= 14*14 = 196.

So, the probability is the yellow zone divided by the target (total area):

P = [tex]\frac{24\pi}{196}= \frac{6\pi}{49}= 0.38468.[/tex]

Micha's scale model of the Empire State Building is 7.62 centimeters tall

To determine the height in centimeters of Micha's scale model of the Empire State Building, we use the given scale where 1 cm represents 50 meters.

First, we find the scale factor for the actual height of the Empire State Building, which is 381 meters.

Using the scale, the calculation is as follows:

Actual height of Empire State Building = 381 m.

Scale ratio = 1 cm : 50 m.

Height of model in cm = Actual height (in meters) \/ Scale ratio (meters per cm).

Height of model in cm = 381 m / 50 m/cm.

Height of model in cm = 7.62 cm.

Therefore, the height of Micha's model is 7.62 centimeters.

Answer:

Step-by-step explanation:

Since the questions are about which numbers are positive or negative and which have the largest magnitude, it is convenient to arrange them in order from least to greatest:

  -3.00 (E), -2.25 (A), -1.50 (C), 1.00 (B), 3.25 (D)

Nearsighted patients are those with negative prescriptions: E, A, C.

Farsighted patients are those with positive prescriptions: B, D.

The most nearsighted patient has the most negative prescription: E

The most farsighted patient has the most positive prescription: D

Answer:

4/9

Step-by-step explanation:

since they are independent

p(ab)=p(a/b)=p(a)*p(b)

1/5=p(a)*9/20

p(a)=[tex]\frac{\frac{1}{5} }{\frac{9}{20} }  = 4/9[/tex]

Given that two events are independent, the probability of one event given the other is the same as the probability of the event itself. Therefore, the probability of event A is 1/5.

In probability, the concept of independence plays a crucial role. If two events, A and B, are independent, then the probability of event A occurring, given that event B has already occurred, is the same as the probability of event A.

In your case, P(A|B) = P(A). So, P(A) = P(A|B) = 1/5.

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Answer: the answer is negative 52          (-52 goes in the box)

Answer is -16

Step-by-step explanation:

Answer:

[tex]new\ lenght=24cm\\new\ width=16cm[/tex]

This will scale the drawing up to larger dimensions.

Step-by-step explanation:

You can observe in the figure that the rectangular drawing has these dimensions:

[tex]length=6cm\\width=4cm[/tex]

The new drawing will be obtained by multplying the dimensions of the original drawing by the scale factor 4.

Therefore, the new dimensions will be:

[tex]new\ lenght=(6cm)(4)=24cm\\new\ width=(4cm)(4)=16cm[/tex]

You can observe that this will scale the drawing up to larger dimensions.

Answer:

Circumference of given circle = 10π in

Step-by-step explanation:

Points to remember

Circumference of a circle = 2πr

Where r is the radius of circle

To find the circumference of circle

It is given that diameter of circle d = 10 in

Radius r = d/2 = 10/2 = 5 in

Circumference = 2πr = 2 * π * 5 = 10π in

Therefore the correct answer is circumference = 10π in

Answer:

Derek delivers 10 magazines per hour.

Step-by-step explanation:

derek delivers ten magazines per hr

A. 3x+21

B. 25-5x

C.8x-16

D.x^2+6x+24

a. 3x + 21

b. 25 - 5x

c. 8x - 16

d. x^2 +6x + 8

I think the last one. Sorry if I’m wrong. Minus year 2 and 5

Answer:

Option. A is the correct option.

Step-by-step explanation:

The yearly attendance at a ballpark is shown in the table attached.

We have to describe the average rate of change in attendance from year 2 to year 5.

Since rate of change in the attendance will be described by [tex]\frac{\text{Difference in attendance}}{\text{Difference in years}}[/tex]

Therefore, average change in attendance = [tex]\frac{\text{Attendance in year 5 - attendance in year 2}}{\text{5-2}}[/tex]

= [tex]\frac{333.7-298.3}{5-2}=\frac{35.40}{3}[/tex]

= 11.80 thousands per year

≈ 11800 people per year

Therefore, there is an average rate of change of 11800 people per year from year 2 to year 5.

Option A. is the answer.

Answer:

8 books; 4 from each shelf

Step-by-step explanation:

let x represent equal number of books from each shelf

from shelf A = 40 -x

from shelf B = 16 -x

shelf A has 3 times as many books than shelf B

3(16- x) = 40 -x

48 -3x = 40 -x

48 - 40 = -x + 3x

8 = 2x

x = 4

altogether she borrowed 4 + 4 = 8 books