Describe how the change affects the volume of the prism or pyramid. Multiplying the height by 3/2.

The Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.

You have the first line:

You can identify that the y-intercept is:

You can find the x-intercept substituting the following value of "y" into the equation of the line:

And, after the substitution, you can solve for "x":

Now you know that the first line passes through these points:

Then, you can graph it.

Given the second line:

You can identify that:

And you can find the x-intercept by following the same procedure applied for the first line:

Then, this line passes through these points:

Now you can graph it.

See the graph below:

By definition, when the lines intersect, the solution of the System of equations is the point where the two lines intersect.

The answer is: First option.

[tex]\frac{2.4}{10^{4} }[/tex] is the simplest form of scientific notation.

In mathematical notation, operations, unnamed numbers, relations, and any other mathematical objects are represented by symbols that are combined into expressions and formulae. Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be expressed as 6.5 108 in scientific notation. A system of symbols for designating unique items. Example: In mathematics, the symbol "∞" stands for "infinity." There are many notations in mathematics.

Given Data

8.1×10^−7

3×10^−3

Dividing

[tex]\frac{8.1(10}{3(10}[/tex]⁷₃

[tex]\frac{8.1}{3}[/tex] × 10⁻⁷⁻⁽⁻³⁾

2.7 × 10⁻⁴

[tex]\frac{2.4}{10^{4} }[/tex]

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The graph of the linear equation y = 20 + 10x for the given scenario is attached below.

The Cartesian coordinates of a specific point on the Euclidean plane can be thought of as each solution inside the scenario involving two variables.

Here the equation is given as  y = 20 + 10x

Therefore at x = 0 ,  y = 20 and at y = 0, x = -2

This represents that the fixed monthly fee is 20 and the daily fee is 10.

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Answer:

i think its c because every time the it goe it goes were its suposefd to

Step-by-step explanation:

hope this helps dont minf my typing

Given the set of data:

12, 4, 11, 3, 4, 0, 13, 13, 2, 6, 11, 0, 10, 11, 3, 4, 0, 10, 13, 2, 11, 9.

Let's complete the given frequency table using the set of data given.

Frequency can be said to be the number of times a number occurs in a set of data.

hus, we have:

• 0 - 2

ubmbers between 0 - 2 in the data set: 0, 2, 0, 0, 2 ==> 5 times

• 3 - 5

3 - 5: 4, 3, 4, 3, 4, ==> 5 times

• 6 - 8:

6 - 8: 6, ==> 1 time

• 9 - 11:

: 9 - 119, 11, 11, 10, 11, 10, 11, 9 ==> 7 times

• 12 - 14:

12 - 134: 12, 13, 13, 13 =3 ==> 4 times.

Therefore, the complete table is:

Answer:

(a) There are 22 workers are available in the factory.

Step-by-step explanation:

(a) Let the number of workers in the factory be x.

Basic rate = $15

Working hours in a week  = 48 hours

Total wages in a week = $ 15840

If no overtime is to be paid then according to question,

Amount paid to 1 worker = 48 X 15 = $ 720

Amount paid to x worker = 720x

15840 = 720

x = 15840/720

x = 22

Given ratio:

Multiply both sides by the L.C.M of their denominator

The L.C.M of 2 and 4 is 4

Hence:

ieven

raph of the fucnction

ind

quation of the fuctcion

xpolanation

s we see it i s the graph of exponential function.

from graph we find point (0 , 2)

now , we substitute this point to find the equation.

so , this exponential function satisfy the point.

Final Answer

ence , the correct option is 1,.

EXPLANATION

We can get the circunference of the circle by applying the Pythagorean Theorem as shown as follows:

Repalcing terms:

Aplying the square root to both sides:

The circunference is 13 inches.

The point slope form of the given equation is [tex](y-3)=\frac{-1}{7} (x-3)[/tex] .

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

If a line passes through the point  with slope m, then the point slope form of the line is

[tex](y-y_{1} )=m(x-x_{1} )[/tex]

Given that,

The slope of the line m = [tex]\frac{-1}{7}[/tex].

From the graph it is clear that the line passes through the point (3,3).

Substitute x₁= 3, y₁= 3 and  in the above equation.

[tex](y-3) = \frac{-1}{7}(x-3)[/tex]

Hence, The point slope form of the given equation is [tex](y-3)=\frac{-1}{7} (x-3)[/tex] .

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The above question is not complete.

Answer:

y = (5/2)x - 4

Step-by-step explanation:

(0, -4) and (2, 1)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁         1 - (-4)         1 + 4        5

m = ------------- = ------------ = --------- = --------

         x₂ - x₁         2 - 0            2            2

y - y₁ = m(x - x₁)

y - (-4) = (5/2)(x - 0)

y + 4 = (5/2)x - 0

   -4                 -4

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

y = (5/2)x - 4

I hope this helps!

The track lap time of the runner will be 3 3/5 minutes.

From the information, the runner has a track lap time of 1 minute while at a run, 4 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/3 at a jog, and 4/15 at a walk.

The track lap time of the runner will be:

= (2/5 × 1 minute) + (1/3 × 4 minutes) + (4/15 × 7 minutes)

Note that 1 minute = 60 seconds

(2/5 × 1 minute) + (1/3 × 4 minutes) + (4/15 × 7 minutes)

= 24 seconds + 80 seconds + 112 seconds

= 216 seconds

= 3 minutes 36 seconds.

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Answer:

Step-by-step explanation:

first from the lower triangle, the unknown length is [tex]\sqrt{10^2-4^2} =\sqrt{100-16}=\sqrt{84}[/tex] so then x is equal to [tex]\sqrt{84-4^2}=\sqrt{68}[/tex] or about 8.2

Answer:

z = 6

Step-by-step explanation:

The angle in the middle is a right angle with a measure of 90°

Together, all three angles, makes a stright angle which is measured 180°.

So we can write the following equation to find the value of z:

5z + 1 + 59 = 90 (we don'thave to include the middle angle since we already its measure)

add like terms

5z + 60 = 90 subtract 60 from both sides

5z = 30 divide both sides by 5

z = 6

Answer:

Equation

Step-by-step explanation:

Equations require equal signs.

Answer:

it is 1,152

Step-by-step explanation:

4×3=12×96=1,152

Answer:a

Step-by-step explanation:

Answer:

(5y-3)+(4y+1)+(5y-3)+(4y+1) = 176

18y - 4 = 176

18y = 180

y = 10

BC = 4y + 1 = 4(10) + 1 = 41 units

The distance travelled by Jack to Mexico on Tuesday is 876 miles.

The distance travelled by Jack to Mexico on Wednesday is 986 miles.

To determine the total miles he drove ,

The sum of the distance travelled by Jack to Mexico on Tuesday and Wednesday.

Let the total miles drove is denoted as T.

Thus the total miles drove is 1862 miles.

The number of gorillas at the safari park is 4.

Let the number of gorillas at the safari park be x.

It is given that there are 24 more buffalo than there are gorillas.

Number of buffalo at the safari park = 24 + x

There are 7 times as many wallabies as there are gorillas.

Number of wallabies at the safari park = 7x

Now, the number of buffalo is the same as the number of wallabies.

So, we equate their numbers to find the value of x i.e. number of gorillas.

24 + x = 7x

7x - x = 24

6x = 24

x = 4

Therefore, the number of gorillas at the safari park is 4.

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Answer:

you know it's a very good question

Step-by-step explanation:

I have no idea

Answer:

No

Step-by-step explanation:

Two different inputs can not have the same output. Although they can have two different outputs and the same input the reverse is not a thing. Each input has only one output, and the fact that it is the same output does not matter. It is supposed to be a function and by definition, functions are a special kind of relations allowing precisely one output for each input.

Answer: μ=​20, σ=4.0

Step-by-step explanation:

ANSWER

t = 10.27

EXPLANATION

Step 1: Given

Step 2: Divide both sides by 500

Step 3: Take the natural logarithm of both sides

Step 4: Divide both sides by 0.0675

Hence, t = 10.27 (rounded to the nearest hundredth).

Answer:

156

Step-by-step explanation:

This is a question in proportion and ratio

Since the ratio in which the sweets are shared is 3: 4 : 5 we can say that the proportion of total sweets that June gets is 3/(3 + 4 + 5) = 3/12 = 1/4

Let the total number of sweets be S

Then 1/4th of this will be June's share and we are given that the actual number June gets is 30

So we have 1/4 x S = 39

Multiplying both sides by 4:
4 x 1/4 x S = 39 x 4

S = 156

So there were 156 sweets altogether

The area under the standard normal curve between z=0 and z=3 is 0.4987.

It should be noted that because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.

The normal distribution was first termed by early statisticians who observed that the same shape repeatedly appeared in many distributions. The characteristics of normal distributions are as follows: Bell-like in its symmetry. The distribution's mean and median, which are both at its center, are equal.

The area will be illustrated as:

P(0 < Z < 3)

From the distribution table. In this case, it's important to look at the normal distribution table under the z score for the values of zero less than Z and Z less than 3. This will be:

= 0.9987 - 0.5

= 0.4987

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The most appropriate choice for division will be given by

Quotient of [tex]\frac{3382}{6}[/tex] is between 563 and 564

What is division?

The process of dividing a certain number into equal parts is called division

The answer obtained after division is called quotient and the other part is the remainder. The number which is divided is called the dividend and the number by which the dividend is divided is called divisor.

General rule of division

Divisor x Quotient + Remainder = Dividend

Here,

Quotient of [tex]\frac{3382}{6}[/tex] = 563

563 is between 562 and 564

So, quotient of [tex]\frac{3382}{6}[/tex] is between 563 and 564

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Step-by-step explanation:

0.75x+2

2 is taken and 0.75 is not optional therfore

0.75=x(per square foot) =0.75x

and

$2 fee is required

so they must pay 2 dollars plus 0.75 everysquare foot

answer:

0.75x+2

Answer:

9/20

Step-by-step explanation:

3/10 + 1/4

find a common denominator, which is 20 here

6/20 + 5/20 = 11/20 he used

left over is 9/20