Find the slope for the line that passes thru the points (-2, 7) and (4, 18)

Answers

Answer 1

Answer:

[tex]m=\frac{11}{6}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 7)

Point (4, 18)

Step 2: Solve for slope m

Substitute:                    [tex]m=\frac{18-7}{4+2}[/tex]Subtract/Add:               [tex]m=\frac{11}{6}[/tex]
Answer 2

Answer:

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Related Questions

Mr. Yen and Mrs. Barnes both have beautiful flower gardens. Mr. Yen has 7 rose bushes for every 3 lilac bushes. Mrs. Barnes has 9 rose bushes for every 4 lilac bushes. Whose garden has a higher lilac to rose ratio?

Answers

Answer:

Mrs Barnes has the highest

89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///

Answers

Answer:

eighty-nine and thirty-six hundredths

or, simpler:

eighty-nine point thirty-six

or, even simpler:

eighty-nine point three six

Answer:

eighty-nine and thirty-six hundredths

Step-by-step explanation:

7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?

Answers

Answer:

The number of different 7 card hands possibility is  133784560

Step-by-step explanation:

The computation of the number of different 7 card hands possibility is shown below:

Here we use the combination as the orders of choosing it is not significant

So,

The number of the different hands possible would be

= [tex]^{52}C_7[/tex]

= 52! ÷ (7! × (52 - 7)!)

= 133784560

Hence, the number of different 7 card hands possibility is  133784560

Somebody please help me with this question

Answers

Answer:

c is the correct answer

Step-by-step explanation:

what is the equation of a line perpendicular to line with equation 2x-5y=5

Answers

Answer:

its -5

Step-by-step explanation:

Given g(x)=−x−4, find g(5)

Answers

Answer:

-9

Step-by-step explanation:

Plug it in

g(x)=-x-4

g(5) meaning that x=5

Thus,

-5-4=-9

Hope it find it helpful :)

Answer:

-1

Step-by-step explanation:

Given g(x) = -x + 4, find g(5)

g(x) = -x+4

g(5) = -(5) + 4          Plug input into x

-5 + 4                       Negate

-1                              Add

Find the area of the Compound shape

The answer is 108 m^2 and 27 cm^2

I just need the steps....

Answers

Answer:

Step-by-step explanation:

6² + 12 × 6 = 36 + 72 = 108 m²

[tex]\frac{3*6}{2}[/tex] + 6 × 3 = 9 + 18 = 27 cm²

Answer:

108

Step-by-step explanation:

10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?​

Answers

Answer:$35

Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right

24 bhsshhtjjhkjjsmsmssyn

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have won 12. If the team continues winning at this rate, what will be the percent error of the newspaper's estimate once the season is over? Round to the nearest percent​

Answers

Answer:

4

Step-by-step explanation:

The percent error of the newspaper's estimate once the season is over will be 4%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.

Then the percentage will be given as,

P = (25 / 30) x 100

P = 0.8333 x 10

P = 83.33%

After 15 matches, they won 12. Then the percentage will be given as,

P = (12 / 15) x 100

P = 0.80 x 100

P = 80%

If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be

P = [(83.33 - 80) / (83.33)] x 100

P = 0.04 x 100

P = 4%

More about the percentage link is given below.

https://brainly.com/question/8011401

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What is the x-intercept of the line?
(22,36)
(27,54)
(32,72)

Answers

Answer:

12

Step-by-step explanation:

the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12

The x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

Here,

To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.

At the x-intercept, the y-coordinate is always 0.

Let's use the given data to find the equation of the line first using two points (x, y):

Using (22, 36) and (27, 54):

Calculate the slope (m) of the line:

m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5

Use the slope and one of the points to find the equation of the line

(y = mx + b).

Let's use (22, 36):

36 = (18/5) * 22 + b

36 = 39.6 + b

b = 36 - 39.6

b = -3.6

So, the equation of the line is y = (18/5)x - 3.6.

Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:

0 = (18/5)x - 3.6

(18/5)x = 3.6

x = 3.6 * 5 / 18

x = 1

Therefore, the x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

learn more on x-intercept :

https://brainly.com/question/1698680

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The legs of a right triangle measure 8 inches and 12 inches. What is the area
of the triangle?
A. 192 sq. inches
B. 24 sq. inches
C. 48 sq. inches
D. 96 sq. inches

Answers

Answer:48 sq. Inches

Step-by-step explanation:

What is growth mindset? Describe growth mindset.
What is growth mindset examples?
What is the meaning of growth mindset?
How growth mindset can lead to success?

Answers

Answer:

Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.

Step-by-step explanation:

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)

Answers

Answer:

[tex]r = 1.34[/tex]

Step-by-step explanation:

Given

Solid = Cylinder + 2 hemisphere

[tex]Volume = 10cm^3[/tex]

Required

Determine the radius (r) that minimizes the surface area

First, we need to determine the volume of the shape.

Volume of Cylinder (V1) is:

[tex]V_1 = \pi r^2h[/tex]

Volume of 2 hemispheres (V2) is:

[tex]V_2 = \frac{2}{3}\pi r^3 +\frac{2}{3}\pi r^3[/tex]

[tex]V_2 = \frac{4}{3}\pi r^3[/tex]

Volume of the solid is:

[tex]V = V_1 + V_2[/tex]

[tex]V = \pi r^2h + \frac{4}{3}\pi r^3[/tex]

Substitute 10 for V

[tex]10 = \pi r^2h + \frac{4}{3}\pi r^3[/tex]

Next, we make h the subject

[tex]\pi r^2h = 10 - \frac{4}{3}\pi r^3[/tex]

Solve for h

[tex]h = \frac{10}{\pi r^2} - \frac{\frac{4}{3}\pi r^3 }{\pi r^2}[/tex]

[tex]h = \frac{10}{\pi r^2} - \frac{4\pi r^3 }{3\pi r^2}[/tex]

[tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]

Next, we determine the surface area

Surface area (A1) of the cylinder:

Note that the cylinder is covered by the 2 hemisphere.

So, we only calculate the surface area of the curved surface.

i.e.

[tex]A_1 = 2\pi rh[/tex]

Surface Area (A2) of 2 hemispheres is:

[tex]A_2 = 2\pi r^2+2\pi r^2[/tex]

[tex]A_2 = 4\pi r^2[/tex]

Surface Area (A) of solid is

[tex]A = A_1 + A_2[/tex]

[tex]A = 2\pi rh + 4\pi r^2[/tex]

Substitute [tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]

[tex]A = 2\pi r(\frac{10}{\pi r^2} - \frac{4r }{3}) + 4\pi r^2[/tex]

Open bracket

[tex]A = \frac{2\pi r*10}{\pi r^2} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]

[tex]A = \frac{2*10}{r} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]

[tex]A = \frac{20}{r} - \frac{8\pi r^2 }{3} + 4\pi r^2[/tex]

[tex]A = \frac{20}{r} + \frac{-8\pi r^2 }{3} + 4\pi r^2[/tex]

Take LCM

[tex]A = \frac{20}{r} + \frac{-8\pi r^2 + 12\pi r^2}{3}[/tex]

[tex]A = \frac{20}{r} + \frac{4\pi r^2}{3}[/tex]

Differentiate w.r.t r

[tex]A' = -\frac{20}{r^2} + \frac{8\pi r}{3}[/tex]

Equate A' to 0

[tex]-\frac{20}{r^2} + \frac{8\pi r}{3} = 0[/tex]

Solve for r

[tex]\frac{8\pi r}{3} = \frac{20}{r^2}[/tex]

Cross Multiply

[tex]8\pi r * r^2 = 20 * 3[/tex]

[tex]8\pi r^3 = 60[/tex]

Divide both sides by [tex]8\pi[/tex]

[tex]r^3 = \frac{60}{8\pi}[/tex]

[tex]r^3 = \frac{15}{2\pi}[/tex]

Take [tex]\pi = 22/7[/tex]

[tex]r^3 = \frac{15}{2 * 22/7}[/tex]

[tex]r^3 = \frac{15}{44/7}[/tex]

[tex]r^3 = \frac{15*7}{44}[/tex]

[tex]r^3 = \frac{105}{44}[/tex]

Take cube roots of both sides

[tex]r = \sqrt[3]{\frac{105}{44}}[/tex]

[tex]r = \sqrt[3]{2.38636363636}[/tex]

[tex]r = 1.33632535155[/tex]

[tex]r = 1.34[/tex] (approximated)

Hence, the radius is 1.34cm

The radius of the cylinder that produces the minimum surface area is 1.34cm and this can be determined by using the formula area and volume of cylinder and hemisphere.

Given :

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters.

The volume of a cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The total volume of the two hemispheres is given by:

[tex]\rm V' = 2\times \dfrac{2}{3}\pi r^3[/tex]

[tex]\rm V' = \dfrac{4}{3}\pi r^3[/tex]

Now, the total volume of the solid is given by:

[tex]\rm V_T = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]

Now, substitute the value of the total volume in the above expression and then solve for h.

[tex]\rm 10 = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]

[tex]\rm h = \dfrac{10}{\pi r^2}-\dfrac{4r}{3}[/tex]

Now, the surface area of the curved surface is given by:

[tex]\rm A = 2\pi r h[/tex]

Now, the surface area of the two hemispheres is given by:

[tex]\rm A'=2\times (2\pi r^2)[/tex]

[tex]\rm A'=4\pi r^2[/tex]

Now, the total area is given by:

[tex]\rm A_T = 2\pi rh+4\pi r^2[/tex]

Now, substitute the value of 'h' in the above expression.

[tex]\rm A_T = 2\pi r\left(\dfrac{10}{\pi r^2}-\dfrac{4r}{3}\right)+4\pi r^2[/tex]

Simplify the above expression.

[tex]\rm A_T = \dfrac{20}{r} + \dfrac{4\pi r^2}{3}[/tex]

Now, differentiate the total area with respect to 'r'.

[tex]\rm \dfrac{dA_T}{dr} = -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]

Now, equate the above expression to zero.

[tex]\rm 0= -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]

Simplify the above expression in order to determine the value of 'r'.

[tex]8\pi r^3=60[/tex]

r = 1.34 cm

For more information, refer to the link given below:

https://brainly.com/question/11952845

3/8 of the homes have a red door how many homes have a red door​

Answers

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

scrieti primi doi mmultipli omuni ai numerelor naturale a) 4 si 6 b)6 si 9
raspunsul repede va rog

Answers

Answer:

Step-by-step explanation:

(a).

Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }

Multiples of 6 are {6, 12, 18, 24, 30, ..... }

12 and 24

(b).

Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }

Multiples of 9 are {9, 18, 27, 36, 45, ..... }

18 and 36

whats 1+1 ( puntos gratis)

Answers

Answer:

I+I = Window

Step-by-step explanation:

Or 2

:|

I'm not too sure

Answer:

i think it's 4

Step-by-step explanation:

maybe 2

PLEASE HELP!
What is the result when the number 78 is increased by 55%?

Answers

Answer:

hope this helps

Step-by-step explanation:

.55×78=42.9

78+42.9

=120.9 round off 121

Answer: 120.9 I believe.

Step-by-step explanation:

55% of 78 is 42.9.

(55 x 78 over 100 = 42.9)

Therefore take 78 + 42.9.

120.9

please help!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Which set of ordered pairs below is a function?

A {(3,–2); (5,–3); (7,–4); (9,–5)}

B {(3,–2); (3,–12); (9,–2); (12,–2)}

C {(4,–2); (5,–3); (7,–4); (7,–5)}

D{(4,–2); (4,–3); (4,–8); (4,–9)}

Answers

The answer is A.

Ordered pairs that equate to a function would not have two separate points with the same x-value. In other words, every x-value must be associated with only one y-value.

28. Which statement is true about the polynomial?

29. What is the degree of the polynomial?

Answers

Answer:

Step-by-step explanation:

28). (C)

29). [tex]6^{th}[/tex] degree

After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches?

Answers

Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

Answer:

Step-by-step explanation:

99.87 for Knewton Alta

what’s this answer please need help

Answers

Answer: -1 [(y-b)/m]+x=a

Step-by-step explanation:

(Y-b) / m = x-a

[(y-b)/m] -x =-a

-1 [(y-b)/m]+x=a

pls pls pls help i am terrible at math.
where do the points go?

Answers

Answer:

I presume that 10x would be on the x axis to the right of 0.

-7y would be on the y axis under 0. Therefore in between -6 and -8

You might know this but very important

X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)

2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?

Answers

Answer:

I think the answer would be 125 iPhones.

Step-by-step explanation:

So basically the question is what is 2.5% of 5000.

Just multiply 5000 * 0.025 = 125

Let x represent the price of a movie ticket. A local movie theater decided to increase the price of a movie ticket by 30%. Which expression can be used to calculate the new, increased price of a movie ticket?
A. 30x
B. x over the number 30
C. 0.3x
D. 1.3x

Answers

Answer:

A

Step-by-step explanation:

30 times x all the others are incorrect so by process of elimination it is a

A river flows due south at 1.4 mi/h. In what direction should the swimmer head, at a velocity of 3 mi/h, in order to arrive at a landing point due east of his starting point? (Round your answer to one decimal place.)

Answers

Solution:

It is that a river is flowing in the south direction with a speed of [tex]$v_r$[/tex]1.4 mi/h.

A swimmer wishes to cross the river in a horizontal direction so that he lands at a point which is due east of his starting point.

The speed of the swimmer is [tex]$v_s$[/tex] = 3 mi/h

Therefore he has to swim in such a direction that his resultant is in the direction east to his starting point.

Let this angle be θ.

Therefore, from the figure,

[tex]$\sin \theta = \frac{v_r}{v_s}$[/tex]

[tex]$\sin \theta = \frac{1.4}{3}$[/tex]

[tex]$\theta = \sin^{-1}(0.46)$[/tex]

  [tex]$=27.4^\circ[/tex]

Therefore, the swimmer has to swim in the northeast direction making an angle of (90+27.4) = 117.4° with the direction of flow of river (i.e. south).  

JUAN VIAJO DE SALAMANCA A CELAYA Y RECORRIO 25 CM. ¿CUÁNTOS METROS

RECORRIO?

Answers

Answer:

0.025

Step-by-step explanation:

Answer:

0.25 metros.

Step-by-step explanation:

cada centimetro es 0.01 metro.

9. A company's quality control department found and average of 1.6 defective
models for every 1000 models that were checked. If the company produced
160,000 models in a year, how many of them would be expected to be
defective?
(a) 356
(b) 256
(c) 476 (d) 856

Answers

A. 356









Explanation
Becauseeeeeeee

DONT ANSWER WAIT 5 MINUTES LM AO​

Answers

oooooooooooooooopppppppppppppppppppppppppssssssssssss

Answer:

thankssssssssss cuhhhhhhh

Step-by-step explanation:

lm ao like if they are gonna wait lol

At a university, Todd deposits $100 into his cafeteria account. He spends $5 on dinner every day. Seth deposits $140 into his account. He spends $5 on lunch and $5 on dinner every day. After how many days will Todd and Seth have the same amount of money in their accounts? 16 8 4 2

Answers

Answer:

The answer is 8 days.

Step-by-step explanation:

By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table

Day - Todd - Seth

1     -  95     - 130

2    -   90    - 120

3   -    85    -  110

4    -   80    -   100

5    -  75    -   90

6  -    70   -    80

7  -    65    -   70

8 -     60   -    60

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