12.10.4 Test (CST): Income and Budgeting
Question 12 of 25
What is the y-intercept of the line passing through the point 5.-6) with a
slope of - 1/7?
A.47/7
B.37/7
C.-37/7
D.-47/7

Answers

Answer 1

Answer:

C.-37/7

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, -6)

Slope, m = -1/7

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the y-intercept of the line, we would use the following formula;

y - y1 = m(x - x1)

y - (-6) = -⅐(x - 5)

y + 6 = -⅐x + 5/7

y = -⅐x + (5/7 - 6)

y = -⅐x - 37/7 = mx + c

Therefore, y-intercept (c) = -37/7


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40*40=1600

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What is the standard form equation of the ellipse that has vertices (-6, 2) and (14, 2) and foci (-3,2) and (11, 2)?

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Answer:

Step-by-step explanation:

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4?

Answers

y = mx + c

m = gradient

gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4

y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16

equation of the line:

y = 4x - 16

hope this helped :)



Answer:

4, -16

Step-by-step explanation:

A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm

pls help

Answers

A I seen it on the test

d= (r+c)t
how do i solve for t?

Answers

Answer:

[tex] { \tt{d = (r + c)t}}[/tex]

Divide ( r+c ) on both sides:

[tex]{ \tt{t = { \frac{d}{(r + c)} }}}[/tex]

Answer:

d / ( r + c) = t

Step-by-step explanation:

d = ( r + c ) t

Divide each side by ( r + c)

d / (r + c ) = ( r + c ) t / ( r + c)

d / ( r + c) = t

Review the graph of function h(x).
Which point is on the graph of the inverse function

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Answer:e so ir no tradutor

Step-by-step explanation:

Use the digits 0 - 9 to fill in the blank.
[tex]243 \frac{1}{5} = blank[/tex]

Answers

Answer:

use 0-9 to fill in blanks

Step-by-step explanation:

Write as many observations as you can for 5k + 23 - 4

Answers

Answer:

5k+19

Step-by-step explanation:

Subtract 4 from 23

The mapping shows a relationship between input and output values.

Answers

Answer:

where is the photo

Step-by-step explanation:

where’s the answer choices ??

a container has 16 1/2 cups of lemonade. Asher gives each of his classmates 3/4 of a cup if lemonade. if asher gives away all of the lemonade how many classmates does asher give lemonade to

Answers

Asher would give away 22 cups of lemonade

Mass of a proton: 1.007825 units
Mass of a neutron: 1.008665 units
Calculate the mass Defect of 214 N has actual mass of 14.0031 u.

Answers

Given:-

mass of proton = 1.007825 umass of neuron = 2.008625 u .Actual mass = 14.0031 u

To find:-

The mass defect.

Answer:-

Mass defect arises when the mass of the atom differs from the sum of masses of nucleons . As we know that the nucleus of an atom is made up of neutrons(n) and protons (p) , and the total mass of a atom is the mass of nucleons ( protons and neutrons ) as electrons have mass very low as compared to that of n or p .

If we denote mass number by [tex]\green{A}[/tex] , then ;

[tex]\implies A = n_{\rm neutrons} + n_{\rm protons} [/tex]

Let [tex] Z[/tex] be the atomic number, then ;

[tex]\implies n_p = Z [/tex]

So, the number of neutrons will be;

[tex]\implies n_n = (A-Z) [/tex]

Therefore total mass would be ;

[tex]\implies M = m_pZ +m_n (A-Z) [/tex]

Then the mass defect would be ,

[tex]\implies\underline{\underline{\green{ \Delta M = [Zm_p + (A-Z)m_n - M ] }}} [/tex]

where ,

[tex]Z [/tex] = atomic number[tex] A[/tex] = mass number[tex] m_p [/tex] = mass of a proton[tex] m_n [/tex] = mass of a neutron

_______________________________________

Now we know that the Atomic number of Nitrogen is 7(Z) and its mass number is 14(A) .

Now substitute the respective values,

[tex]\implies \Delta M = 7(1.007825) + (14-7)1.008665 - 14.0031 \\ [/tex]

[tex]\implies \Delta M = 7.054775 + 7(1.008665) - 14.00 31 [/tex]

[tex]\implies \Delta M = 7.054775 + 7.060655 - 14.0031 [/tex]

[tex]\implies \Delta M = 14.11543 - 14.0031 [/tex]

[tex]\implies \underline{\underline{\green{ \Delta M = 0.11233 \ u }}}[/tex]

Hence the mass defect is 0.11233 u .

Also this mass defect appears as energy which is responsible for the binding of nucleons together.

and we are done!

Who knows a lot about proofs in geometry? Please message me!

Answers

Answer:

I do and im always ready to help

on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the map

Answers

Answer:

x=80

Step-by-step explanation:

A trailer is 22 feet long. 9 feet wide,
and 7 feet high. What is the volume of
the trailer?

Answers

Answer:

1386

Step-by-step explanation:

22 × 9 × 7 = 1386 cubic feet

V= L x W x H = 22x9x7 = 1386

what percentage is the following 3 upon 4 of 3 upon 8​

Answers

Step-by-step explanation:

the answer is in the image above

Step-by-step explanation:

3/4×3/8

9/32

9/32×100

~28%

化學製程中溫度的影響 為研究化學製程中溫度對產量之影響,我們在 3 種溫度下各生產 3批產品,結果如下表。請建立 ANOVA 表。在 0.05 顯著水準檢定不同的溫度是否會影響平均產量。

溫度
50℃ 60 ℃ 70℃
產品1 14 20 13
產品2 15 11 18
產品3 12 15 16

Answers

Answer:

Step-by-step explanation:

產品 1 14 20 13

產品 2 15 11 18

產品 3 12 15 16

Find all solutions to the equation.
cos^2 x +2cosx+1=0

Answers

[tex]x= \pi[/tex]

Step-by-step explanation:

[tex]\cos^2x+\cos x+1=0[/tex]

Let [tex]u= \cos x[/tex]

Then [tex]u^2+2u+1=(u+1)^2=0[/tex]

or

[tex]\cos x = -1[/tex]

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please help me look at the photo!

Answers

First of all multiply both sides by the power of 3 to cancel out the cube roots.

So you will be left out with:

X+4 > -x

Now simplify:

4 > -x-x

4> -2x

4/-2 > -2x/-2

-2 > x

Final answer:

It’s C , x < -2

Good luck and best of wishes!!

When wiring a house, an electrician knows that the time she will take is given by the formula Time= 2 hours + 12 minutes per lightswitch. She charges her customers a call out fee of £35, plus £20 per hour. How much should a customer be charged for wiring a house with 10 lightswitches?​

Answers

Answer:

Step-by-step explanation:

Time = 2 hrs + 12 min (10) = 4 hrs.

Cost = 35 + 20*4

Cost = 35+80

Cost = 115

9514 1404 393

Answer:

  £155

Step-by-step explanation:

We can write the function describing the charges as a composition.

  t(s) = 2 + 12/60s = 2 +s/5 . . . . . hours for s switches

  c(h) = 35 +30h . . . . . . . . . . . . . charge for h hours

Then the charge for s switches is ...

  f(s) = c(t(s)) = 35 +30(2 +s/5) = 35 +60 +6s

  f(s) = 95 +6s . . . . . . . charge for installing s switches

The charge for 10 switches is then ...

  f(10) = 95 +6·10 = 95 +60

  f(10) = 155 . . . . pounds

The electrician should charge her customer £155 for wiring a house with 10 switches.

Which best explains whether or not ABC = LMN?

Answers

Answer:

If I've done it right the answer should be A, the figures are congruent because a 270 rotation about the origin a d a reflection of the x-axis

If ⅔ of a number is 20 what is ½ of the number?​

Answers

Answer:

15

Step-by-step explanation:

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the answer is in the image above

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Answers

Answer:

c-635.25pi

Step-by-step explanation:

volume of cylinder is pi*radius squared*height(here they gave you the diameter so you'll have to divide it by 2 to get the radius)

so pi*(11/2)^2*21

and you end up with 635.25pi

CAN SOMEONE PLEASE ANSWER THISS ASAP PLEASE
f(n) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Which equation represents a line that passes through (-2, 4) and has a slope of ?

Answers

Answer:

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

Step-by-step explanation:

point slope form is

y - y₁ = m(x - x₁)

(x₁, y₁) is a point on the line and m is the slope

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

Given (x₁, y₁) = (-2, 4) and m = 2/5

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

in which quadrant or axis will the poit lie if...​

Answers

Step-by-step explanation:

a.fourth quadrent

b.third quadrent.

What is an equation of the line that passes through the points (5, 0) and (-5, -8)

Answers

Answer:

Step-by-step explanation:

m = (y2-y1) / (x2-x1)

m = (-8-0) / (-5-5) = 4/5  

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

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

y = 4/5x -4

please if you find my answer helpful mark it brainiest

What is cos(A)? please explain

Answers

Answer:

cos(A) = adjacent side / hypotenuse

= 4/5

Answer:

[tex] \small \sf \: cos ( A ) = \green{ \frac{ 4}{ 5}} \\ [/tex]

Step-by-step explanation:

[tex] \small \sf \: cos ( A ) = \frac{ adjacent \: side }{ Hypotenuse} \\ [/tex]

Where, we have given

adjacent side is 4 Hypotenuse is 5

substitute the values that are given

[tex] \small \sf \: cos ( A ) = \green{ \frac{ 4}{ 5}} \\ [/tex]

A cube with side lengths of 4 cm has a density of 3 grams/cubic centimeters. The mass of the cube is _____ grams?

Answers

9514 1404 393

Answer:

  21 1/3 grams

Step-by-step explanation:

The mass is the product of the volume and the density. The volume of a cube is the cube of its edge dimension.

  M = Vρ

  M = (4 cm)³×(3 g/cm³) = 64/3 g

The mass of the cube is 64/3 = 21 1/3 grams.

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