Does this graph represent a function?

Answer:

43/12

Step-by-step explanation:

Times 3 by 12, then add 7. keep the same denominator.

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

The equation that shows the amount of water in gallons remaining in the water tank in terms of time t is A = 50 - t/2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Amount of water initially = 50 gallons

Leakage of water in 2 hours = 1 gallon.

Leakage in t hour = t/2 gallons.

Thus,

Amount = 50 - t/2

A = 50 - t/2

Hence "The equation that shows the amount of water in gallons remaining in the water tank in terms of time t is A = 50 - t/2".

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Answer:2

Step-by-step explanation:

IM FAST RIGHT???

Answer:

A

Step-by-step explanation:

Hopefully this helps you

pls give me brainlest :)

Answer:

120

Step-by-step explanation:

5(22-16) + 5(10+8)

5(6) + 5(18)

30 + 90

120

The speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.

The drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.

The drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.

(To determine the speed of the water drop and the speed of the car when the drop strikes the hood,

use the kinematic equations of motion.

First, we can find the time it takes for the drop to fall 10m using the kinematic equation:

distance h = 10m,

\(h = 1/2 at^2\)

where

h is the vertical distance,

a is the acceleration due to gravity (9.8m/s²), and t is the time.

Substituting the values, we have;

\(10 = 1/2 (9.8) t^2 \\

t^2 = 20/9.8 \\

t ≈ 1.43 seconds\)

Next, find the final velocity of the drop using the kinematic equation:

\(v = vo + at\)

where v is the final velocity,

vo is the initial velocity (which is 0m/s for the drop),

a is the acceleration due to gravity, and

t is the time we just calculated.

Substituting the values, we have

v = 0 + (9.8)(1.43)

v ≈ 14.0 m/s downward

Finally, find the speed of the car when the drop strikes the hood using the kinematic equation:

\(v = vo + at\)

v = 25 + (3)(1.43)

v ≈ 29.3 m/s to the east

Therefore, the speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.

To determine the velocity and acceleration

The velocity of the water drop with respect to the passenger in the car is simply the vector difference between the velocity of the water drop and the velocity of the car:

v_drop,p = v_drop - v_car

where v_drop is the velocity of the water drop (14.0 m/s downward) and

v_car is the velocity of the car (29.3 m/s to the east).

Substituting the values, we get:

v_drop,p = (0, -14.0, 0) - (29.3, 0, 0)

v_drop,p = (-29.3, -14.0, 0) m/s

Thus, the drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.

The acceleration of the water drop with respect to the passenger in the car is simply the vector difference between the acceleration of the water drop and the acceleration of the car:

a_drop,p = a_drop - a_car

where a_drop is the acceleration due to gravity (9.8 m/s² downward) and

a_car is the acceleration of the car (3 m/s² to the east).

Substituting the values, we have,

a_drop,p = (0, -9.8, 0) - (3, 0, 0)

a_drop,p = (-3, -9.8, 0) m/s²

Therefore, the drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.

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the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

When deriving a slope surface, the z-factor represents the conversion factor from the vertical units to the horizontal units. In this case, the horizontal units are in feet with a horizontal resolution of 10, and the vertical units are also in feet but with a vertical resolution of 1. To calculate the appropriate z-factor for deriving a slope surface, we need to determine the ratio of the vertical to horizontal units.

The z-factor can be calculated as follows:

z-factor = vertical units / horizontal units

= 1 / 10

= 0.1

Therefore, the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

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Answer:

2061.9\(mm^{3}\)

Step-by-step explanation:

We can see the original shape of the gold block is a cuboid.

Volume of Cuboid = Length x Width x Height

Volume of Original Gold Block = 27mm x 8mm x 12mm = \(2592mm^{3}\)

Next, we can see the shape of the cut-out hole is a cylinder.

Volume of Cylinder = \(\pi r^{2} h\)

We know that r = 0.5 x diameter = 0.5 x 5 = 2.5mm

Volume of cut-out hole = \(\pi (2.5)^{2} (27)\\\) = \(168.75\pi mm^{3}\)

Volume of Remaining Gold Block = Volume of Original Gold block - Volume of cut-out hole

= \(2592mm^{3} -168.75\pi mm^{3}\)

= 2061.9\(mm^{3}\)

Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

The effective annual rate you'll actually be paying on the credit card is 31.38%.

To find the effective annual rate (EAR) when the interest rate is given as an APR with monthly compounding, we can use the following formula:

EAR = (1 + APR / Number of Compounding Periods)^(Number of Compounding Periods) - 1

In this case, the APR is 28.2% and the compounding is done monthly, so the number of compounding periods is 12.

EAR = (1 + 0.282 / 12)^12 - 1 = 0.3138

The effective annual rate is 0.3138, which is equivalent to 31.38% when rounded to 2 decimal places.

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Answer:

100% - 76% = 24%

24% = 0.24

0.24*50 = 12

You got 12 questions wrong.

Step-by-step explanation:

Please mark brainliest!

Number of questions that got wrong are 12 .

Given,

76% on a 50 question test.

Here,

Let total percentage value be 100%.

Then,

100% - 76% = 24%

24% questions got wrong.

Number of questions that got wrong out of 50 will be ,

24% of 50

= 0.24*50

= 12

Therefore 12 questions got wrong.

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Answer:

6

Step-by-step explanation:

The formula for n persons is:

\(\frac{n(n-1)}{2}\)

So for 4 persons it is 4*3/2 = 6

Answer:

Step-by-step explanation:

The answers is A

The required equation of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2) TO determine.

The equation is the relationship between variables and represented as y=ax + b  is an example of a polynomial equation.

Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5

Since the slope of the parallel lines are equal.

The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2

Thus, the required equation  of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

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Answer:

n=14

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...

To find the total amount paid for the 15-year mortgage, we will multiply the payments by the number of payments. They would have to pay 12 payments per year for 15 years.

We will do the same for the 30-year mortgage

If we subtract the two amounts, we will get

Therefore, they would be able to save $ 54 178.20 if they chose the 15-year mortgage.

Answer:

-0.125

Hope this is right

Answer:- 1/8 as a fraction and - 0.125 as a decimal

Answer: c=-6

Step-by-step explanation:

First let's subtract 4 from both sides

\(5c+4-4=-26-4\\5c=-30\)

Now we can divide 5 on both sides

\(\frac{5c}{5} =\frac{-30}{5} \\c=-6\)

We can sub -6 back in to the original equation to check the answer

\(5(-6)+4=-26\\-30+4=-26\\-26=-26\)

It checks out!

There are 184,756 possible 9 player batting orders for a softball team with 20 players.

The formula to calculate the combination number of possible batting orders for a team with n players is n!/(n-r)! where n = the total number of players, and r = the number of players in the batting order. Therefore, for a softball team with 20 players, the number of possible 9 player batting orders is 20!/(20-9)! = 184,756.

20! = 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

(20-9)! = (20 - 9) × (19 - 9) × (18 - 9) × (17 - 9) × (16 - 9) × (15 - 9) × (14 - 9) × (13 - 9) × (12 - 9) × (11 - 9) × (10 - 9) × (9 - 9)

20!/(20-9)! = 184,756

Therefore, there are 184,756 possible 9 player batting orders for a softball team with 20 players.

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Answer:

You Answer is C. 738

Step-by-step explanation:

L x W x H

A= 2 w  l   h  l  h  w  = 2  18 13.5 4  13.5 4 18  =  738

The exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12 is defined as follows:

f(x) = 5^x.

The general format of an exponential function is given as follows:

y = ab^x.

In which:

The slope of a line, given two points, is given by the division of the change in the output by the change in the input of these two points.

Considering that the slope of points (0, f(0)) and (2, f(2)) is equals to 12, we have that:

[f(2) - f(0)]/(2 - 0) = 12

f(2) - f(0) = 24.

One case that satisfies this involves these two following points.

Hence the parameter a is given as follows:

a = 1.

When x = 2, y = 25, meaning that the parameter b is calculated as follows:

b² = 25

b = 5.

Hence the exponential function is:

f(x) = 5^x.

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The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given line equations are y=3x-6 and y=-2x+8.

Here, 3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = 1/2 ×2 × 12/5

Multiply and simplify.

A = 12/5

Therefore, the area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

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Answer:

Step-by-step explanation:

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation:

A. Since 7 and 11 are both rational, the sum and difference are rational.

B. Since 14 and 11 are both rational, the sum and difference are rational.

C. Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

D. Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.

p² – 14p – 72 = 0

p² – 14p = 72

p² – 14p + 49 = 72 + 49

p² - 14p + 49 = 121

(p - 7)² = 121

find the square root of both sides

√(p - 7)² = √121

p - 7 = ±11

p = +11 - 7 or p = -11 - 7

p = 4 or -18

Answer:

Step 1

Step-by-step explanation:

Doesn't mean that when you multiply the base, the denominator will be removed. The denominator is (x+1)(x-2)

Answer:

Step 1

Step-by-step explanation:

The equation should be : 2x(x-2) +3x(x-1)= x^2 -x-2

In ths case the answer is very simple .

We must analyze the options to find the solution.

All equations, except the last one, have a y-intercept term.

Therefore, the d equation would represent a linear proportional equation.

The answer is:

d) y = 2/5 x

1. ∠1 and ∠3 are vertically angles

2. ∠8 and ∠7 are Same side interior .

when parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles, same side exterior angles, same side interior angles etc.

Therefore, the angles can be established as follows:

Hence,

∠1 and ∠3 are vertically opposite angles.

Vertically opposite angles are congruent.

∠7 and ∠8 are Same side interior angles.

Same side interior angles are supplementary. That means they add up to 180 degrees.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

y is ⅓ of x

ratio of x to y is 3:1

x=¾

y=¼

¼÷¾=⅓

that means y is ⅓ of x

to confirm the answer.when you take¾×⅓=¼.

Answer:

Its B

Step-by-step explanation: