Ben is reading a book. Rounded to the nearest ten, he reads 150 pages. What is the least number of pages he could read?

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

43.6 has 3 significant figures.

Answer:

It's A

Step-by-step explanation:

It's just moving the equation to the right 4 units. There's no stretch, compression, or reflection.

Step-by-step explanation:

The angle between vectors is given by

\(\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}\)

The magnitudes for the vectors are as follows:

\(|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}\)

\(\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16\)

\(|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}\)

\(\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10\)

The dot product between the vectors is

\(\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13\)

Therefore, the angle between the two vectors is

\(\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}\)

or

\(\theta = 65.56°\)

Answer:

\(H'I = 48\)

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

\(GH=16.5\)

\(HI =24\)

\(IJ = 17\)

\(JG =32.2\)

\(k = 2\) --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

\(H'I = k * HI\)

This gives:

\(H'I = 2 * 24\)

\(H'I = 48\)

Answer I to j is 42

Step-by-step explanation:

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

hope u are searching for this..

Answer:

D

Step-by-step explanation:

Answer:

i need more info

Step-by-step explanation:

Answer:

she can make 5 batch of cookies

Step-by-step explanation:

A batch of cookie requires  1\frac{1}{2}121 cups of sugar.

she has  7\frac{1}{2}721 cups of sugar.

He can make the total number of batches =  7\frac{1}{2}721 ÷  1\frac{1}{2}121

=  \frac{15}{2}215 ÷  \frac{3}{2}23

=  \frac{15}{2}215 ×  \frac{2}{3}32

=  \frac{30}{6}630

= 5 batches of cookies

if it's diameter is 19, then its radius must be half that, or 9.5.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3\)

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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Answer:

x≤−8

Step-by-step explanation:

2x+3≤x−5

Subtract x from each side

2x-x+3≤x-x−5

x+3≤−5

Subtract 3 from each side

x+3-3≤−5-3

x≤−8

Answer:

\(\huge \boxed{x \leq -8}\)

Step-by-step explanation:

\(2x+3 \leq x-5\)

\(\sf Subtract \ x \ from \ both \ parts.\)

\(2x+3 -x\leq x-5-x\)

\(\sf Simplify \ the \ inequality.\)

\(x+3 \leq -5\)

\(\sf Subtract \ 3 \ from \ both \ parts.\)

\(x+3-3 \leq -5-3\)

\(\sf Simplify \ the \ inequality.\)

\(x \leq -8\)

The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).

For a rectangle, the opposite sides are equal this means AB = C D and CB = AD

To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).

line AB = √0+16= 4units

line AD = √((8– 3)² + (3– 3)²).

line AD = √25+0

line AD = 5 units

therefore the sides of the rectangle are 5units and 4 units.

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The required sample proportion of numbers less than the mean is 47%.

Given data set:
25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6

First, need to calculate the proportion of numbers in the data set that are less than the mean of 22.1.

There are 15 numbers in the data set, and 7 of them are less than 22.1. So the sample proportion of numbers less than the mean is:

7/15 = 0.47

To express this as a percentage, multiply it by 100:

0.47 x 100 = 47%

Therefore, the required sample proportion of numbers less than the mean is 47%.

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The volume of cylinder B include the following: D. 80π cubic units.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Note: Radius of cylinder B = 2r

Height of cylinder B = 2h

By substituting the parameters, we have the following:

Volume of cylinder B = π × (2r)² × 2h

Volume of cylinder B = π × 4r² × 2h

Volume of cylinder B = π × 8r²h

Volume of cylinder B = 8 × πr²h

Volume of cylinder B = 8 × 10π

Volume of cylinder B = 80π cubic units.

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Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

Answer:y=4/x−4−3

Step-by-step explanation:Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

Answer:

200 is your answer

Step-by-step explanation:

First, multiply:

8 × 5 × 4 = 160

Then, multiply:

4 × 5 × 2 = 40

Next, add them up.

160 + 40 = 200

Lastly, have a great day!

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Answer:

\(\sum_{i=0}^{15} (3i-1)\)

Step-by-step explanation:

for i=0 you have the first term, 3*0-1 = -1

for i=1 you have the second term, 3*1-1 = 2

...

for i=15 you have the last term, 3*15-1 = 44

Answer:

x = 1

Step-by-step explanation:

2/3 (2x + 4) + 6 = 10

2/3 (2x + 4) = 10 - 6

1⅓x + 2⅔ = 4

1⅓x = 4 - 2⅔

1⅓x = 1⅓

x = 1

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

2(s+20)

Step-by-step explanation:

hope this helps

Answer: son is 10 years old and father is 40 years old

Step-by-step explanation:

Let the present age of son is x years

Then the present age of father is 4x years

4x+20=2(x+20)

4x+20=2x+40

4x+20-20=2x+40-20

4x=2x+20

4x-2x=2x+20-2x

2x=20

Divide both parts of the equation by 2:

x=10 years

4x=4(10)

4x=40 years

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

It's x = 12 (d)

Step-by-step explanation:

Subtract 4 on both sides: (16 - 4) - x = (4 - 4)

12 - x = 0

Then add x on both sides: 12 (- x + x) = (0 + x)

12 = x

Therefore x = 12

Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

If you have the same plan as the company that is advertising for $59, but your bill is 15% more, it's possible that you are receiving additional services or features that are not included in the $59 plan.

It's common for companies to offer different pricing plans for their services, and these plans often come with different features and levels of service.

It's important to review the details of both plans to determine what the differences are.

Some questions you may want to consider are:

Once you have a clear understanding of the differences between the plans, you can decide whether the additional services you are receiving are worth the 15% increase in cost. If you feel that you are not receiving enough value for the additional cost, you may want to consider switching to the lower-priced plan or negotiating with your current provider for a better deal.

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Explanation

remember the distributive property

ans some properties of the exponents numbers

Step 1

i hope this helps you

Answer:

Proved below

Step-by-step explanation:

If we assume that n + 1 even when n is even, it means that;

n + 1 = 2x

Where x is an integer

Then;

n = 2x - 1

This means that n is odd because 2x - 1 is odd.

But we know that n is even, thus, our assumption is wrong.

Therefore, n + 1 is odd when n is even.