Answer:
[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the passing through (1,3) and (-9,-2). So, equation of line in point slope form is
[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Now,
[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Answer:
The Answer is C
Step-by-step explanation:
i think This is correct
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
a toy car can go 3 mph. How long would it take to go 4 mph
Answer:
1 hour
Step-by-step explanation:
mph means miles per hour so in 1 mile it would be 1 hour
What is 100 - 50= ?
Then whatever answer you get divide it by 5
Finally you divide it by 10 what do you get for your answer
Step-by-step explanation:
100-50=50
50/5=10
10/10=1 and
I hope you liked it please mark brainliestI put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
Value of blank 1 is 2
Value of blank 2 is 10
Step-by-step explanation:
We are given that a and b are the lengths of legs of right angle in right angled triangle .
b = 3
We are also given that c is the hypotenuse
c = hypotenuse = 7
To find the value of 'a' we will use Pythagoras theorem
[tex]Hypotenuse^2 = perpendicular^2 +base^2\\c^2=a^2+b^2\\7^2=a^2+3^2\\7^2-3^2=a^2\\\sqrt{7^2-3^2}=a\\\sqrt{40}=a\\2\sqrt{10}=a\\[/tex]
Value of blank 1 is 2
Value of blank 2 is 10
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
A small container and its lid are shown below.
A rectangular prism has a length of 4 centimeters, width of 8 centimeters, and height of 5 centimeters. A rectangular pyramid has a base of 4 centimeters by 8 centimeters and a height of 2 centimeters.
Which correctly describes the dimensions of the figures that make up the container and its lid?
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm
a rectangular prism measuring 2 cm by 4 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 5 cm by 8 cm
a rectangular prism measuring 2 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
Answer:
A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer
Answer:
A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The container is shaped a rectangular prism
- Its base is a rectangle of dimensions 4 cm by 8 cm
- Its height is 5 cm
- The lid of the container is shaped a rectangular pyramid
- Its base is a rectangle with the same dimension of the base of the
container 4 cm by 8 cm
- Its height is 2 cm
* Lets solve the problem
∵ The container is shaped rectangular prism
∵ The base of the container is a rectangle with dimensions 4 cm
by 8 cm
∵ The height of the container is 5 cm
∵ The led of the container is shaped a rectangular pyramid
∵ The base of the lid of the container is a rectangle with dimensions
4 cm by 8 cm
∵ The height of the lid is 2
∴ A rectangular prism measuring 4 cm by 5 cm by 8 cm and a
rectangular pyramid with the dimensions of 2 cm by 4 cm by
8 cm is the correctly describes the dimensions of the figures
that make up the container and its lid
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
Find the area of a regular hexagon with a perimeter of 72 inches. *
1 point
360.055 square inches
374.112 square inches
381.489 square inches
The area of the hexagon is the amount of space on it
The area of the hexagon is 374.112 square inches
How to detemine the area of the hexagpon?The perimeter is given as:
P = 72 inches
The length of the hexagon is calculated using:
L = P/6
So, we have:
L =72/6 = 12
The area is then calculated as:
A = 1.5[tex]\sqrt 3[/tex] * L^2
This gives
A = 1.5[tex]\sqrt 3[/tex] * 12^2
Evaluate the product
A = 374.112
Hence, the area of the hexagon is 374.112 square inches
Read more about areas at:
https://brainly.com/question/24487155
Does (3, –8) make the equation y = –x + –5 true?
Answer:
Yes.
Step-by-step explanation:
Substitute in the equation for x and y:
-8 = -3 + -5 = -8.
this table shows values that represent an exponential function.what is the average rate of change for this function for the interval from x=1 to x=3
Answer: -4
Step-by-step explanation:
The equation 9 X 3 = 27 is used to find the area. Explain what
each factor stands for in the equation.
Answer:
In the equation 9 X 3 = 27, each factor stands for:
9 = length3 = width27 = areaStep-by-step explanation:
When you must know the area of a terrain or figure, you must know what is the form of that (circle, triangle, rectangle, square, or another figure), because, with this, you can use different formulas of the area, in the case given in the exercise, the formula used is to a rectangle (is the same that a square, but how the length and the width aren't equal, is a rectangle), knowing this the formula is:
Area of a rectangle = length * widthIn a rectangle, the length is bigger than the width, by this reason 9 is the length, 3 the width and the result is the area, how you can see below:
Area of a rectangle = 9 * 3 Area of a rectangle = 27Help!
A diver is at an elevation of −18 feet and dives down an additional 30 feet. What is that diver’s elevation in feet in relation to a second diver who is 27 feet below the surface?
If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.
Answer:
Diver A is 21 ft below Diver B
Step-by-step explanation:
Diver A
-18 then goes down 30
-18 - 30 = -48
Diver B is at -27
Relationship
-48 - -27
-48+27 = -21
Diver A is 21 ft below Diver B
Please simplify (y^-5)^4
Answer:1/y^20
Step-by-step explanation:
please help!
Given:
AB = BC
ADB =
a. 30
b. 37.5
c. 60
The measure of the angle is ∠ADB=60
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here: ∠A =∠B=60
By triangle sum property we must have ∠A +∠B+∠D=180
∠D=60
Thus the triangle must be an equilateral triangle with all its angles equal to 60
Hence, The measure of the angle is ∠ADB=60
Learn more about triangles here:
https://brainly.com/question/29133099
#SPJ2
Find the value of x in the given figure using properties of parallel lines. answers : A) 27° B) 18° C) 36° D) 54°
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]126+3x=180[/tex]
[tex]3x=180-126[/tex]
[tex]3x=54[/tex]
[tex]\frac{3x}{3}=\frac{54}{3}[/tex]
[tex]x=18[/tex]
Answer:
[tex]x = 18[/tex]
Step-by-step explanation:
Co - interior angles = 180°
[tex]3x + 126 = 180 \\ 3x = 180 - 126 \\ 3x = 54 \\ \frac{3x}{3} = \frac{54}{3} \\ x = 18[/tex]
Which statements are true about exponential decay functions? Check all that apply.
The domain is all real numbers.
As the input increases, the output increases.
The graph is the same as that of an exponential growth function
The base must be less than 1 and greater than 0.
The function has a constant multiplicative rate of change.
Answer: the domain is all real numbers.
The base must be less than 1 and greater than 0.
The function has a consumer multiplicative rate of change.
Step-by-step explanation:
Answer:
A, D, E
Step-by-step explanation:
100% on edg
Select the correct answer.
Shareese has a credit line of $3,000 on her credit card. Review the summary of her latest credit card statement.
Previous
Balance
Payments/Credits
Summary
New
Finance New
Purchases Charge Balance
$1,299.00 $18.00 $1,567.25
$1,250.25
$1,000.00
What is the available credit on Shareese's card?
O A $1,432.75
B. $1,299.00
$317.00
Reset
Net
reserved.
Answer:
the answer is A)1,432.75.
I'm so confused, can someone please help. thx
Answer:
26.25 in³, y = 15x
Step-by-step explanation:
2. Volume is multiplying the length, width, and height of a rectangular prism together.
Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5
= 26.25 in³
3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:
y = 15x
Hope this helps :)
HELP WILL GIVE BRAINLIEST!!!!
How many 1/2 cups are in 3/4 cups?
Answer:
1 1/2 or 1.5
Step-by-step explanation:
think: half of 4 is 2 so 1 half cup would make it to 2/4
than half of that is 1/4 which is 1/2 of 1/2 a cup
adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)
Solve for z plz help me
Answer:
Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).
Answer:
Z= 83
——————
(-c + 6)
Step-by-step explanation:
PLS HELP IF U HAVE THE WORK PLS ADD I RLLY NEED HELP THANK YOU ITS OK IF U DONT KNOW ALL OF THEM BUT MORE THAN 5 WILL HELP A LOT
I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped
question in attachment
Answer:
[tex]a_{1}=6[/tex]
Step-by-step explanation:
It is sum of arithmetic progression
[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+76]$[/tex]
[tex]880=20a_{1}+760[/tex]
[tex]120=20a_{1}[/tex]
[tex]a_{1}=6[/tex]
I need help on these two questions please.
Answer:
7)x=20 8)x=19
Step-by-step explanation:
7)4x-40=2x
4x-2x=40
2x=40
x=20
8)
2x+19=3x
3x-2x=19
x=19
HI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU
Answer:
The answer is D.
Step-by-step explanation:
The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.
A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line? On a coordinate plane, a vertical line is at x = negative 2. On a coordinate plane, a horizontal line is at y = negative 2. On a coordinate plane, a vertical line is at x = negative 8. On a coordinate plane, a horizontal line is at y = negative 8.
Answer:
Its D
Step-by-step explanation:
just put the answear stop putting this bs
Answer:
The Correct answer you are looking for is (D) - On a coordinate plane, a horizontal line is at y = negative 8.
Step-by-step explanation:
Hope this helped all of you!
Answer is letter (D) the bottom graph.
An online store sells old video games and DVDs as a bundle. A bundle of two video games and three DVDs can be purchased for $88. A bundle of one video game and two DVDs can be purchased for $51.50. Find the cost of one video game and the cost of one DVD in the bundle.
Answer:
idk just did like 9 math problems :/
Step-by-step explanation:
ill come back in an hour
Evaluate 4 ÷ 5/6 Give your answer as a mixed number in its simplest form.
Answer:
4 ÷ 5/6
= 4 × 6/5
= 24/5
= 4 4/5
Hope this helps.
