Answer this question please

The slope of a line that passes through the ordered pairs (0,1) and (3,5) would be m = 4/3.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

WE have been given line that passes through the ordered pairs (0,1) and (3,5).

Slope = m

Therefore,

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{5 -1}{3-0}\\\\m = \dfrac{4}{3}[/tex]

Hence, the slope of a line that passes through the ordered pairs (0,1) and (3,5) would be [tex]m = \dfrac{4}{3}[/tex].

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Answer:

$150

Step-by-step explanation:

Given the following question:

Lucy paid 120 dollars for an item
The item was 20% off

What was the original price? To find the original price we will need to use the formula to calculate percentages.

20% of 150
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times150}{100}[/tex]
[tex]20\times150=3000[/tex]
[tex]3000\div100=30[/tex]
[tex]150-30=120[/tex]
[tex]=120[/tex]

Which means our original price is "$150."

Hope this helps.

The measurement 9 feet is closest to 270 centimeters.

In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:

x = 270 cm × (25 / 762 feet / cm)

x ≈ 8.858 feet

x = 270 cm × (50 / 127 inches / cm)

x ≈ 106.299 inches

The measurement 9 feet is closest to 270 centimeters.

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Polynomial equation with integer coefficients that has roots x= -1 and

x = -6 is equal to x² +7x +6=0.

As given in the question,

Given roots for the polynomial equation with integer coefficient are

x = -1 ⇒ x + 1=0

x = -6 ⇒ x + 6 =0

Polynomial equation is

( x + 1) ( x + 6) =0

⇒ x² + 1x + 6x + 6 =0

⇒ x² + 7x + 6 =0

Therefore, polynomial equation with integer coefficients that has roots x= -1 and x = -6 is equal to x² +7x +6=0.

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Answer:

-∞ and -∞ both answers

Step-by-step explanation:

From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞

On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞

Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.

Percentages are ratios or portions of a variable in the whole number.

               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          40 hours              10.625%       No

Week 2            2.57                          40 hours                6.425%       Yes

Week 3            3.83                          40 hours                9.575%       Yes

Week 4            3.40                         40 hours                 8.500%      Yes

Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

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               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          10 hours

Week 2            2.57                           8 hours  

Week 3            3.83                           8 hours

Week 4            3.40                           8 hours

The percent increase in his bill from May to July is 32.29%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1

(136.50 / 78)^(1/2) - 1 = 32.29%

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In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:

Number of years, t = 2014 - 1995

Number of years, t = 19 years.

Substituting the years into the expression, we have;

Total average credit card debt = 417t + 5850

Total average credit card debt = 417(19) + 5850

Total average credit card debt = 7,923 + 5850

Total average credit card debt = $13,773.

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In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, Given:

8 x 99

We know 99 = 100 - 1.

Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)

8 ( 100 - 1) = 8(100) - 8(1)

8( 100 - 1) = 800 - 8 = 792.

Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

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Answer:

3(x+13)

Step-by-step explanation:

use the distributive property to multiply -3 by

3x -5

12x -9x + 15 + 24

then

combine 12x and -9x to get 3

add 15 + 24 to get 39

If Partial Derivatives f(x,y) -8e^4x sin(7y) is 32 e^(4 x) sin(7 y) and

56 e^(4 x) cos(7 y)

Partial Derivatives

d/dx(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 (d/dx(e^(4 x))) sin(7 y)

Using the chain rule, d/dx(e^(4 x)) = (d e^u)/(du) (du)/(dx), where u = 4 x and d/(du) (e^u) = e^u:

= e^(4 x) (d/dx(4 x)) 8 sin(7 y)

Factor out constants:

= 4 (d/dx(x)) 8 e^(4 x) sin(7 y)

Simplify the expression:

= 32 e^(4 x) (d/dx(x)) sin(7 y)

The derivative of x is 1:

= 32 e^(4 x) sin(7 y)

Simplify the expression:

32 e^(4 x) sin(7 y)

Part 2:

Partial Derivatives

d/dy(8 e^(4 x) sin(7 y))

Factor out constants:

= 8 e^(4 x) (d/dy(sin(7 y)))

Using the chain rule, d/dy(sin(7 y)) = (dsin(u))/(du). (du)/(dy), where u = 7 y and d/(du) (sin(u)) = cos(u):

= cos(7 y) (d/dy(7 y)) 8 e^(4 x)

Factor out constants:

= 7 (d/dy(y)) 8 e^(4 x) cos(7 y)

Simplify the expression:

= 56 e^(4 x) cos(7 y) (d/dy(y))

The derivative of y is 1:

=  56 e^(4 x) cos(7 y)

Simplify the expression:

56 e^(4 x) cos(7 y)

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24 grams per cubic centimeters equals 0.867 pounds per cubic inches

The quantity (x) is given as:

x = 24 grams per cubic centimeters

1 gram equals 0.00220462 pounds

So, we have:

x = 24 * 0.00220462 pounds per cubic centimeters

Evaluate

x = 0.05291088 pounds per cubic centimeters

1 cubic centimeters equals 0.0610237 cubic inches

So, we have

x = 0.05291088 pounds per 0.0610237 cubic inches

Rewrite as

x = 0.05291088/0.0610237 pounds per cubic inches

Evaluate

x =0.867 pounds per cubic inches

Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches

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If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.

Answer:

A

Step-by-step explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True

x = 8

[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32

Answer:

True

Step-by-step explanation:

Answer:

20 psectacles and scranbled

(a) The distance on the ground represented 2 cm on the map  is 2000 cm.

(b) The distance on the ground represented 7.6 cm on the map  is 7600 cm

It is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .

i) (a) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 2 cm on map is equivalent to  = 2 × 1000

                                                      = 2000 cm on the ground

(b) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 7.6 cm on map is equivalent to  = 7.6 × 1000

                                                      = 7600 cm on the ground

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Using the median concept and the quartiles, we have that:

In this problem, there are 12 elements, hence:

Thus, Q1 = 120, Q3 = 160 and the IQR is:

IQR = 160 - 120 = 40.

1.5 IQR is: 1.5 x 40 = 60.

The boundaries are:

There is a value less than 60 in the data set, hence the sentence that describes the outliers is: B: The outlier is less than the lower boundary.

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Answer:

Use the data to answer the questions.

What is 1.5 ∙ IQR? ✔ 60

What is the lower boundary? ✔ 60

What is the upper boundary? ✔ 220

Which sentence describes the outliers? ✔ The outlier is less than the lower boundary.

Step-by-step explanation:

edge 2023

Answer:

56mph

Step-by-step explanation:

i hope this is the answer you were looking for

ANSWER:

x=61

STEPS FOR SOLVING LINEAR EQUATION :

Subtract 7x from both sides.

Combine 6x and −7x to get −x.

Subtract 59 from both sides.

Subtract 59 from −2 to get −61.

Multiply both sides by −1.

Hope it helps!!!

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Answer:

answer to the question is x=61

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

Answer:

See below

Step-by-step explanation:

If you factor [tex]a^2-a-30[/tex] you get [tex]\left(a^2+5a\right)+\left(-6a-30\right)[/tex]

= [tex]a(a+5)-6(a+5)[/tex]

= [tex]a(a+5)(a-6)[/tex]

That's where the a comes in

Not sure if that answers your question

Answer:

Final answer is 2

Step-by-step explanation:

Answer:

Around 73cm

Step-by-step explanation:

314.16 is the area of the whole circle

shaded is 85/365 (around 23 percent)

Answer: 30

Step-by-step explanation:

181+180+150=

361+150=511

541-511=30 18-24 year olds

**46 of 181 students that watched TV ate pizza and the same 46 students of  the 150 students that ate pizza watched TV.