The graph of line p represents y =1/5 x-1 . If the slope of line p is multiplied by -10 to
create line r, which statement about the graphs of the two lines is true?
A.line r interacts line p
B.line r is parallel to line p
C.line r is 10 units above line p
D.line r is 10 units below line p

Answer: 5km

Step-by-step explanation: 2cm=1 km

10cm divided by 2 is 5km

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

Difference in weight is 24 once

Step-by-step explanation:

got it right

Answer:

-17

Step-by-step explanation:

-(-x)

This simplifies to positive x

x

Let x = -17

-17

Answer:

-17

Step-by-step explanation:

-(-x)= +x therefore

-{-(-17)}= -17

The number of different choices of eleven questions that a student can make on an exam with sixteen questions is 4,096.

This number can be calculated by the combination formula. The combination formula is used to calculate the number of combinations of a certain size that can be made from a larger set. In this case, the larger set is sixteen questions and the smaller set is eleven questions. The combination formula, written as C (n,r) is equal to n! / (r! (n-r)!), where n is the size of the larger set and r is the size of the smaller set. Applying this formula to the problem at hand, 16! / (11! (16-11)!), yields 4,096.

There are sixteen cards, and eleven of them must be chosen, so the number of different choices for eleven questions is 4,096.

Learn more about combination formula here:

https://brainly.com/question/3901018

#SPJ4

Given that,

y varies directly with x and y = 10 when x = 20.

To find,

The value of y when x = 15.

Solution,

\(y\propto x\\\\y=kx\)

Put x = 20 and y = 10

\(k=\dfrac{y}{x}\\\\k=\dfrac{10}{20}\\\\=\dfrac{1}{2}\)

Put k = 1/2 and x = 15 to find the value of y.

\(y=\dfrac{1}{2}\times 15\\\\=7.5\)

So, the value of y is 7.5

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

A: 4 Units Perimeter Is All The Sides not That Hard

Step-by-step explanation:

Need Any More Help?

Answer:

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

Step-by-step explanation:

y = 3(x+5)^2 - 2

vertex: (-5, -2)

1 unit down :

-2 - 1 = -3

6 units to the right:

3(x+5-6)^2 -2

3(x-1)^2 - 2

make what's in the parenthesis equal to 0:

(x-1)^2 = 0

x = 1

or

-5 + 6 = 1

new vertex : (1, -3)

equation : y = 3(x-1)^2 -3

Translation involves shifting of points from one position to another. The equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

Given that:

\(y = 3(x + 5)^2 - 2\)

\((h,k) = (-5,-2)\) --- vertex

The general equation of a parabola is:

\(y = a(x - h)^2 + k\)

By comparison:

\(a = 3\\ h = -5 \\ k= -2\)

When the vertex is shifted 1 unit down, the rule is:

\((x,y) \to (x,y-1)\)

So, we have:

\((x,y) \to (-5,-2-1)\)

\((x,y) \to (-5,-3)\)

When the vertex is shifted 6 unit right, the rule is:

\((x,y) \to (x + 6,y)\)

So, we have:

\((h,k) \to (-5 + 6,-3)\)

\((h,k) \to (1,-3)\)

This means that:

\(h = 1\\ k =-3\)

Recall that:

\(a =3\)

Substitute these values in:

\(y = a(x - h)^2 + k\)

\(y = 3(x - 1)^2 - 3\)

Hence, the equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

Read more about translations at:

https://brainly.com/question/12463306

Answer:

cold and hot Is the answer

The length of unknown side c is 30 units.

Given,

The figure is a right angled triangle.

Altitude of the right angled triangle is given as 24 units.

Base of the right angled triangle is given as 18 units.

We have to find the unknown side of the right angled triangle which is its hypotenuse.

According to Pythagorean theorem:

Hypotenuse² = Altitude² + Base²

c² = 24² + 18²

c² = 576 + 324

c² = 900

c = 30

Therefore, the length of the unknown side c, which is the hypotenuse of the right angled triangle is 30 units.

Learn more about right angled triangle here:

https://brainly.com/question/3770177

#SPJ1

Answer:

1.) 85+ (-10) = 95 is false.

2.)  5x+7 = 17 is false.

3.) -8(-2) - 7 = 14 – 5 is false.

Step-by-step explanation:

1. is false because since 85 ≠ 95, then 85 + ( - 10) = 95 is false.

2. is false because since 12 ≠ 17, then 5x + 7 = 17 is false.

3. is false because since -15 ≠ 14, then -8( - 2) - 7 = 14–5 is false.

\(\huge\underline\mathtt\colorbox{cyan}{One-group pretest-posttest}\)

The one-group pretest-posttest design is a type of quasi-experiment in which the outcome of interest is measured 2 times: once before and once after exposing a non-random group of participants to a certain intervention/treatment.

The objective is to evaluate the effect of that intervention which can be:

A training program

A policy change

A medical treatment, etc.

Answer:

x=36

Step-by-step explanation:

If you are using a calculator, simply enter 54×100÷150, which will give you the answer.

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

Answer:

[900, 1300]

Step-by-step explanation:

According to the empirical rule, 95% is within ±2 standard deviations.

1100 − 2(100) = 900

1100 + 2(100) = 1300

Step-by-step explanation:

To find the area of a rectangle, we simply need to multiply its length by its width. The area is simply the width of a rectangle times height. Area = h × h, Area = h2. Hence for a square, the area is the square of its sides.

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

Add the amount it was reduced to the new price:

3.49 + 31.38 = 34.87

Original price = $34.87

Answer:

When finding the unknown original price, add the sale reduction to the new sale price to get the old sale price.

\(3.49 + 31.38 = 34.87\)

Therefore, the original sales price was 34.87

A node is a point of no displacement in a standing wave. Therefore, if point P does not move, it is most likely located at a node. the points along the wave that experience maximum displacement are called antinodes.

A node is a point of no displacement in a standing wave, meaning that if the stretched string of the apparatus represented is made to vibrate, point P will not move. Point P is most likely located at a node as it experiences no displacement. A standing wave is created when two waves combine and the resulting wave is stationary. The points along the wave that experience no displacement are called nodes, and the points along the wave that experience maximum displacement are called antinodes. Nodes can be found at points that are integral multiples of half the wavelength of the wave. Therefore, it can be concluded that point P is at a node since it does not move when the string is made to vibrate.

The complete question is :

When the stretched string of the apparatus represented below is made to vibrate, point p does not move. Point p is most probably at the location of _____.

Learn more about maximum here

https://brainly.com/question/29156925

#SPJ4

Answer:

30

Step-by-step explanation:

Theorm

Answer:

y=2/3x-2

Step-by-step explanation:

We can first find the y-intercept of the graph.

The y-intercept is the value of y when x is 0.

So, based on the graph, we can see that the y-intercept is at (0, -2).

Now, we need to find another point in order to find the slope of the line.

Another point would be (3,0).

This is also the x-intercept.

We can put these points into the formula for slope to find the slope of the given line.

The formula for slope is: y1-y2/x1-x2

In the formula:

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

We can plug our points in.

-2-0/0-3

Simplify.

-2/-3

2/3

The slope is 2/3.

Put it into an equation.

We can use the form y=mx+b

This is where m is the slope and b is the y-intercept.

We can put our corresponding values in.

The final equation would therefore be: y=2/3x-2.

d=r•t ,  formula show a joint variation ,  Option C is the answer.

The variation when a variable is dependent upon two or more variables and varies directly as either of them are taken constant is called Joint Variation.

According to the question , which among the options shows a Joint Variation.

Option 1  d = 50 t

It shows direct variation , as increase in t will directly increase d 50 times * the increase

Option 2 d = 16t²

It also shows direct square variation .

Option 3 d=r•t

In this variation d is dependent on two variables and so it is a joint variation.

Therefore Option C is the answer.

The complete question is ?

Which distance formula or formulas show a joint variation? d=50t, d=16t^2, d=r•t

To know more about Joint Variation

https://brainly.com/question/12250735

#SPJ1

The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

For more such information on: Newton's method of approximation

https://brainly.com/question/31400694

#SPJ8

Answer:

10

Step-by-step explanation:

find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

c=10

hope this helped... if it did, please let me know by marking me the brainliest:))

Answer:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

Answer:

your answer is....

Step-by-step explanation:M = Y + 5.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Read more about tangent lines at

https://brainly.com/question/21595470

#SPJ1

Answer:

\( \sf1.7\% \\ = \sf \frac{1.7}{100} \\ = \boxed{ \bold{ \red{\frac{17}{1000} }}}\)

Hope it helps!!

a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

To know more about decimal here.

https://brainly.com/question/9543292

#SPJ4

The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

For such more questions on Soccer Ball Above 15ft

https://brainly.com/question/28374181

#SPJ8