A given line passes through the points (2,3) and (2,−3). Determine the equation of the line that is perpendicular to the given line and passes through the point (−1,5).

could someone break this down for me? multiple choice in attachment

We don’t know the number of employees remaining at the company.

We don’t know the total number of employees remaining at the company.

The classification consists of gender, division, and employment type.

It doesn’t matter what order those attributes come in. A person who is male, age group 6, and employment type 10 has the same classification as someone who is of employment type 6, male, and age group10.

Therefore since order does not matter it is a combination question.

Assuming only two genders are allowed (you didn’t say and some people think there are about 10 of them)

It is either 120 (2 times 6 times 10) or "None of the above" if you believe there are more than 2 genders.

2×6×10=120

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The single dilation of the shape is a dilation by a scale factor of 1.5 with center R

From the graph, we have the center of dilation to be point R.

This is so because R = R'

Also, we have:

R = (-1, -4)

S = (2, 0)

S' = (3.5, 2)

Calculate the distance RS and RS' using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

This gives

[tex]RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5[/tex]

[tex]RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5[/tex]

Divide RS' by RS to determine the scale factor (k)

k = 7.5/5

k = 1.5

Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R

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a) By the alternate segment theorem, [tex]x=53^{\circ}[/tex]

b) Alternate angles are equal

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books:  (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is:  (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

The population in 20 years is 719 people.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

According to the question

[tex]\frac{dP}{dt} = kP[/tex]   where P is population at any time

solving equation,

[tex]\int[/tex][tex]\frac{dP}{dt} =\\[/tex] [tex]\int kP[/tex]

[tex]lnP=kt+C[/tex]                                 -(1)

Applying the conditions,

at t=0, P = 500

[tex]ln500=C[/tex]                                      -(2)

at t=10, P= 600

putting it in equation gives

[tex]ln(600) = k(10)+ln(500)[/tex]

ln(6/5) = k(10)

[tex]k = \frac{ln(6/5)}{10}[/tex]

at t=20 , P= ?

[tex]lnP=(\frac{ln(6/5)}{10})20 + ln500[/tex]

[tex]lnP=({ln(6/5)}{2 + ln500[/tex]

On putting the values of ln(6/5) , ln(500)

[tex]lnP=0.182(2) + 6.214[/tex]

[tex]P = e^{6.578}[/tex]

P = 719.099

On rounding off

P ≈ 719 people

Thus the population in 20 years is 719 people.

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The given multipliers are factors of 9, the possible number will have 1 as first and last digit which gives the number as 101

The given numbers are;

18, 27, 36, 45, 54, 63, 72, 81, 99

Given that the first and the last figures are those of the multipliers, we have;

The first and last and last digit of the number can be 1, which gives;

Possible numbers includes; 11 and 101

By trying the possible numbers, the difference found is presented as follows;

99 × 11 = 1089 (The first and the last digit are not the same as the multiplier)

90 × 11 = 990

90 × 101 = 9090

The correct option is therefore 101

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The simplified form of the given expression is 2015

The given expression is (x-2)(x+2)(x²+4)-(x²+3)(x²-3)+2022

The expression can be simplified as shown below

(x-2)(x+2)(x²+4) - (x²+3)(x²-3) + 2022

x(x+2)-2(x+2)(x²+4) - x²(x²-3) +3(x²-3) + 2022

(x²+2x-2x-4)(x²+4) - (x⁴-3x²+3x²-9) + 2022

(x²-4)(x²+4) - (x⁴-9) + 2022

x²(x²+4) -4(x²+4) - (x⁴-9) + 2022

(x⁴+4x²-4x²-16) - (x⁴-9) + 2022

(x⁴-16) - (x⁴-9) + 2022

x⁴ -16 -x⁴ +9 + 2022

x⁴ -x⁴ -16 +9 +2022

= 2015

Hence, the simplified expression is 2015

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Answer:

15 in.

Step-by-step explanation:

P = 2(L + W)

36 = 2(L + 3)

18 = L + 3

L = 15

Answer:

Hello! The answer is 15 in.

Step-by-step explanation:

The formula for the perimeter of a rectangle is 2l + 2w. We can substitute our w-value since it's provided for us:

2l + 2(3) = 36

Now, we can solve the equation:

2l + 6 = 36

     -6.    -6

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

2l = 30

--     --

2     2

l = 15 in

Answer:

0.18

Step-by-step explanation:

The number of times I would expect to roll a number that is not a 5 is 300 times.

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

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Answer:

y=10x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y−y1=m(x−x1)  to find the line parallel to y=10x−45

.

The solution to the inequality |x + 3| - 2 < 0  is -5 < x < -1 as shown in the graph attached

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression used to show the non equal comparison of two or more numbers and variables.

Given that:

|x + 3| - 2 < 0

Hence:

(x + 3) - 2 < 0   and -(x + 3) - 2 < 0

x < -1 and x > -5

The solution to the inequality |x + 3| - 2 < 0  is -5 < x < -1 as shown in the graph attached

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Answer: The answer to the question is Answer Choice "B"

Step-by-step explanation:

Proof that It's actually correct as you can see it on the screenshot :)

The first statement p + q is not a prime number is a true option (A) correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

First statement:

p + q is not a prime number.

Let p = 7

q = 9

= 7 + 9 = 16 (16 is not a prime)

= 7×9 = 63 (no factor of 63)

p = 7, q = 7

q/p = 7/7 = 1 (1 is integer)

Thus, the first statement p + q is not a prime number is a true option (A) correct.

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The function rule for the table is A. s = 4c

From the table, it can be seen that when the cans of soup is 1, the number of serving is 4. Also, when it's 2, the number or servings is 8.

This implies that:

4/1 = 8/2

= 4.

Therefore, the function rule for the table is s = 4c

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Answer:

a) x = 4

b) x = 1

Step-by-step explanation:

a) [tex]\frac{4x-1}{2} = x + 7[/tex] multiply both sides by 2 so we can simplify the fraction by getting rid of 2

4x - 1 = 2x + 7 transfer like terms to the same side of the equation

4x - 2x = 7 + 1

2x = 8 divide both sides by 2

x = 4

b) [tex]3x + 2 = \frac{2x+13}{3}[/tex] again, get rid of the fraction by multiplying both sides by 3

9x + 6 = 2x + 13 transfer like terms to the same side of the equation

9x - 2x = 13 - 6

7x = 7 divide both sides by 7

x = 1

Answer:

1.89753

Step-by-step explanation:

22/11,594

         [tex]\frac{22}{11.594} * 1000 = \frac{22000}{11594}[/tex]

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Answer:

0,4

Step-by-step explanation:

X is 0 and Y is 4 it'll be touching the vertical line

Answer:

0,4

Step-by-step explanation:

Answer: [tex]\frac{7\sqrt{3}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 60^{\circ}=\frac{x}{7}\\\\\frac{\sqrt{3}}{2}=\frac{x}{7}\\\\x=\frac{7\sqrt{3}}{2}[/tex]

Answer:

1.x=13/8-3y/8

2.x=11/3-2y/3

Step-by-step explanation:

Distance traveled = dependent variable

Gasoline left in tank = independent variable

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

It should be noted that dilation simply means a transformation to resize an object

In this case, the dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

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Answer:

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

Step-by-step explanation:

Answer:

.7 pi    Radians

Step-by-step explanation:

There are pi radians in a 180 degrees :

   pi / 180   * 126  = .7 pi  Radians

Answer:

[tex]\frac{7}{10} \pi[/tex] or 0.7π radians

Explanation:

For converting degree to radians, multiply by π/180

Here given:

Conversion:

126° × π/180 = [tex]\frac{7}{10} \pi[/tex] or 0.7π

Similarly (additional),

     1) 100° = 100 × π/180 = [tex]\frac{5}{9} \pi[/tex]

     2) 320° = 320 × π/180 = [tex]\frac{16}{9} \pi[/tex]

Started in Quadrant II and ended in Quadrant IV.

==========================================================

Explanation:

Refer to the diagram below. It shows how the four quadrants are labeled using roman numerals. We start in the upper right corner (aka northeast corner) and work counterclockwise when labeling quadrant I, II, III, and IV in that order.

The green point A is located in quadrant II in the northwest. Meanwhile point B in red is in the southeast quadrant IV.

Therefore, we started in quadrant II and ended in quadrant IV which points us to choice C.

Answer:

see explanation

Step-by-step explanation:

rounding each number to 1 significant figure

(a)

763 × 42

≈ 800 × 40

= 32000

(b)

39 × 52

≈ 40 × 50

= 2000

(c)

3.8 × 4.9

≈ 4 × 5

= 20

A measure of the strength of the relationship between two variables is referred to as the correlation coefficient.

Correlation coefficients are used to evaluate the strength of the linear relationship between two variables.

When the correlation coefficient value is less than zero, it indicates a bad association, while a number higher than zero indicates a good relationship.

There is no correlation between the two variables being compared, as shown by a correlation coefficient of zero.

The idea of a negative correlation, also referred to as an inverse correlation, is essential to the construction of diversified portfolios that may be better able to withstand portfolio volatility.

It is often done by entering data into a calculator, computer, or statistics application because computing the correlation coefficient requires time.

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Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex]

9) [tex]\angle C[/tex]

10) [tex]\overline{AB}[/tex]

11) [tex]\angle A, \angle B[/tex]

12) isosceles triangle

Answer:

about 8.2 cm

Step-by-step explanation:

The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters

Express  the following in the form kx^n where k and n are constants.

(a) y=x^3

(b)y=3x^-1

(c) y=x^3/27

To express each of the following in the form kx^n where k and n are constants.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given that:

y=1/27x^3

express each of the following in the form kx^n where k and n are constants.

(a) y^1/3

Let y^1/3=x

by cubing both sides we get,

y=x^3

The equation in the form of  kx^n

where,

k=1

n=3

(b) 3y^-1

Let 3y^-1=x

3/y=x

y=3/x

By simplify

y=3x^-1

The equation in the form of  kx^n

where,

k=3

n=-1

(c) √(27y)

Let (27y)^1/3=x

by cubing both sides we get,

27y=x^3

y=x^3/27

The equation in the form of  kx^n

where,

k=1/27

n=3

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Answer:

RS = 12 False

x=4 True

x=3 False

QT=16 True

Step-by-step explanation: