What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8?
y = -2x+8
y = 2x + 8
y=-2x - 4
y = 2x 4

cross multiply

[tex](\stackrel{x}{10}~~,~~\stackrel{y}{y})\hspace{5em}\stackrel{\textit{substituting in the equation}}{y~~ = ~~3(\stackrel{x}{10})+4}\implies y=34[/tex]

Answer:

Step-by-step explanation:I am pretty sure the answer is supposed to be 2 for x

Answer:

4/3 inches per hour

Step-by-step explanation:

take the number of inches and divide by the time to find the rate

4 inches / 3 hours

1.333333 inches per hour

4/3 inches per hour

Answer:

1:4

Step-by-step explanation:

There is 7+8+5 = 20 animals total    rabbits are 5

5:20     is the same as 1:4

After performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

So, in seconds the car would take to travel 3.6 miles:

Then, calculate as follows to get in how many seconds the car will travel 3.6 miles:

Therefore, after performing some mathematical operations, we can conclude that the car would take 199 seconds that is 3 minutes and 19 seconds to travel a distance of 3.6 miles.

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Answer: k-34

Step-by-step explanation:

k is the front of the expression because it’s what he started with in his situation

to spend money you use - for subtraction

bc its an expression i’m assuming that’s it lol

the measurement of that side of the courtyard is 13.75feet

Answer:

9th power of 10

Step-by-step explanation:

To find the power of 10 in scientific notation. keep moving the decimal point to the left until you have only one digit to the left of the decimal point. Count the number of places you have moved the decimal point to the left and that is the exponent of 10 in scientific notation

5,708,100,000 does not have a decimal point but you can imagine a d.p at the end of the number

To get only one digit to the left of the d.p, you have to move it 9 places to the left until you get 5.7081

Therefore in scientific notation it is 5.7081 x 10⁹

The power is 9

Answer:

I don't realy know

Step-by-step explanation:

I think it's B

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

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Answer: 2/3

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of numerator (6): 1, 2, 3, 6

Factors of Denominator (9): 1, 3, 9

Steps to Calculate:

1. Find the GCF

2. Divide numerator and denominator by GCF

6/3 = 2

9/3 = 3

Therefore, the lowest term would be 2/3

Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

Answer: Square feet

Step-by-step explanation: Well, in the 3 options given, ounces aren't used for distance which is what it is calculating, and for bigger terms, you wouldn't use inches, so the only logical answer is square feet.

To buy thea's share, Joe would need $ 533,333.33.

After buying thea's portion, Joe will own 41.6%.

Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.

Total ratio is = 1+4+7 = 12

hence joe = 1/12

thea = 4/12

taylor = 7/12

therefore share of each person:

1/12 × 1,600,000 = 133,333.33 -- Joe's share

4/12 × 1,600,000 = 533,333.33 -- thea's share

7/12 × 1,600,000 = 933,333.33 -- taylors share

total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil

to buy thea's share, Joe would need $ 533,333.33.

after buying thea's portion, Joe will own :

(1/12 + 4/12) = 5/12 = 0.416 = 41.6%

Joe would require $533,333.33 to purchase Thea's portion.

Joe will hold 41.6% after purchasing Thea's share.

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The values of x and z is 61/38 and 57.47 respectively.

The three angles of a triangle is 14x + 35, z and 10x + 49

It is given that 14x + 35 is congruent to Z

The other angle is (10x+49)

In any trinagle the summation of all three angles of that triangle is 180 degree

here the summation of all three angles that is

14x + 35, z and 10x + 49 is 180 degree

(14x + 35) + (14x + 35) + 10x + 49 = 180    (angle z is same as angle 14x + 35)

14x + 35 + 14x + 35 + 10x + 49 = 180

38x + 119 = 180

38x = 61

x = 61/38

z = 14x + 35

z = 14(61/38) + 35

z = 57.47

Therefore the values of x and z is 61/38 and 57.47 respectively.

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The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.

Answer:

m<1 = 37

m<2 = 68

m<3 = 68

m<4 = 143

m<5 = 75

Answer:

Angle 1 = 37° (alternate angles)

Angle 2 = Angle 3 (alternate angles)

Angle 2 and 3 = 180 - 112

= 68° (sum of angles on a straight line)

Angle 4 = 180 - 37

= 143° (sum of angles on a straight line)

Angle 5 can be found using more than one method. I'm just going to show two here.

Method 1:

Angle 2 + Angle 5 + Angle 1 = 180° (sum of angles on a straight line)

68 + Angle 5 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

Method 2:

Angle 5 + Angle 3 + 37 = 180° (sum of angles in a triangle)

Angle 5 + 68 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

The volume of the oblique cylinder is  1,538. 6 cubic units

It is important to note that the formula for determining the volume of an oblique cylinder is expressed as;

V = πr²h

Where;

Now, let's substitute the values into the formula

Volume, v = 3. 14 ×(7)² × 10

find the square of the value

Volume, v = 3. 14 × 49 × 10

Multiply the values

Volume, v = 1,538. 6 cubic units

Hence, the volume is 1,538. 6 cubic units

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Answer: 2010.6 units^3

Step-by-step explanation:

volume=πr2

=π multiply 8^2 multiply 10

=π times 64 times 10

=2010.619298

therefore 2010.6 units^3 is the answer

Answer:

Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:

Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.

Step-by-step explanation:

Answer: c

Step-by-step explanation:

yes

The distance of the coin from the base of building is 37.3 m.

An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.

Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:

sin x = hypotenuse/perpendicular

base/hypotenuse = cos x

tan x = base/perpendicular

Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:

Tan θ = perpendicular/base

Tan 15 = 10/x

0.2680 = 10/x

x = 10/0.2680

x  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.

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Answer:4

Step-by-step explanation: because you only have 9 cups of chocolate chips in total and the recipe calls for 2 per times you make the recipe, so if you add the amount of times you can make the recipe, you have one cup left over, and 4 times 2 equals 8.

Answer: B

Step-by-step explanation:

It will take 12.51 years for a Jenny's balance of 3000 to grow to 3800

Balance in Jenny's account = $3000

Rate of interest = 2.13%

Required amount = 3800

Simple interest is a quick and simple technique to compute interest on money. Interest is always applied to the initial principal amount and is calculated at the same rate for each time cycle.

The formula for simple interest is given:

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time period in years

Substituting the values in the formula we get:

Amount = P*R*T/100 + P

3800 = 3000*2.13*T/100 + 3000

800 = 63.9T

T = 12.51

So, it will take 12.51 years

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Roland needs a 32/5 part sheet of fabric.

Given that,

Roland needs 8 sheets of fabric that are each 4/5 yard long.

We have to determine the length of the sheet of fabric required.

Complete the equation.

According to the question,

To complete the equation following all the steps given below.

Roland needs 8 sheets of fabric that are each 4/5 yard long.

Then,

(a/b)(c/d)

(8/1) (4/5)

32/5

Hence, Roland needs a 32/5 part sheet.

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Next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by

D.  put the compass on point B and complete the same steps that she did for point A.

As given in the question,

To draw the perpendicular bisector of given line segment AB

Required steps:

Therefore, next step used by Jan's to draw the perpendicular bisector of the given line segment AB is given by :

D.  put the compass on point B and complete the same steps that she did for point A.

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The range of function g would be c. (-∞, 1).

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1

To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

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The quantity of white paper shipped by the company is 7,47,240 reams.

Here, we are given that last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper.

Further, we are also given that they shipped 190,122 reams of colored paper.

Let us assume that there are only two types of papers that the company ships, these are- colored and white.

Thus-

colored paper + white paper = total paper shipped

Let the reams of white paper shipped be x

Substituting the values given in the question we get-

190,122 + x = 937,362

subtracting 190,122 from both sides we get-

x = 937,362 - 190,122

x = 7,47,240

Thus, the quantity of white paper shipped by the company is 7,47,240 reams.

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