the graph shows the amount of gas remaing in Mrs.lui's car as she drives at a steady rate for 2 hours.

Answer:

I. 1) 32124, 32456, 32532, 32934, 32983

 2) 62279, 62312, 62345, 62387, 62398

 3) 89123, 90246, 89345, 89534, 89923

 4) 19087, 19216, 19312, 19432, 19910

 5) 31821, 31839, 31861, 31876, 31890

II. 1) 58240, 58204, 58042, 58024

  2) 10908, 10809, 10098, 10089

  3) 85703, 85370, 85307, 85073

  4) 98705, 98570, 98507, 98057

  5) 41810, 41108, 41081, 41018

Step-by-step explanation:

3x = 75

x = 25 .

..........

Answer:

x=25

Step-by-step explanation:

We can see that they both are the same angle measurement so we can write a equation: 3x=75

3/3=75/3

75/3=25

x=25

The true statement is option (A) The equation |-x - 4| = 8 will have two solution

Consider each statement

All the statements are absolute value equation

Part A

|-x-4| = 8

We can write it in two way

-x - 4 = 8

- x = 12

x = -12

Then,

-(-x-4) = 8

x+4 = 8

x = 4

It has two solution

Part B

3. 4|0. 5x - 42. 1| = -20. 6

Divide both side by 3.4

|0.5x - 42.1| = -103/17

Absolute value cannot be negative

The equation has no solution

Part C

|1/2x - 3/4| = 0

1/2x - 3/4 = 0

1/2x = 3/4

x = 3/4 ÷ 1/2

x = 3/2

The equation has one solution

Part D

|2x - 10| = -20

Absolute value cannot be negative

This equation has no solution

Part E

|0. 5x - 0. 75| 4. 6 = 0. 25

Divide both side by 4.6

|0.5x - 0.75| = 5/92

The equation divided into two

0.5x - 0.75 = 5/92

x = 37/23

0.5x - 0.75 = -5/92

x = 32/23

The equation has two solution

Part F

|1/8x - 1| = 5

1/8x - 1 = 5

x = 48

1/8x - 1 = -5

x = -32

The equation has two solution

Therefore, the equation |-x - 4| = 8 will have two solution is true

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INFORMATION:

We know that the function that describes Katie's parabolic trajectory is

And we must graph it, identifying Katie's start and end points

STEP BY STEP EXPLANATION:

Since we have a parabola, we can calculate the vertex to graph it

The formula for the vertex is

In this case, a = -16 and b = 16

Now, replacing in the formula

Now, we must replace t = 1/2, to find the coordinate of the vertex

Then, the coordinate of the vertex is (1/2, 676)

Now, we can find the x intercepts if we equal the function to 0 and solve for t

Now, knowing the vertex and the x-intercepts we can graph the function

In the graph we take the positive part of the parabola because t (x-axis) represents time and the time must be positive

The end point would be when h(t) = 0

ANSWER:

Answer:

1/4+1/3+7/12=1 1/6

1 1/6 times 10 =

11 4/6 or 11 2/3 A

Hope This Helps!!!

Answer:

DON'T PRES THAT LINK THAT IS A HACK AND VIRUS

Step-by-step explanation:

HOPE THIS LETS YOU REMEMBER  ABOUT NOT PRESSING THESE LINKS!

When it is required to minimize the effect of a few extreme scores, median is the measure of central tendency which is the most appropriate.

This is due to the fact that the median isn't influenced by extreme values, which means it is the middle value when the observations are ordered from least to greatest.There are several measures of central tendency, including the mode, median, and mean.

The most common measure is the mean, but it is greatly affected by the presence of a few very high or very low scores.To ensure that the mean isn't skewed too much by these scores, the median is a better choice. The median is the middle number in a data set when the observations are sorted from smallest to greatest.

In this way, if there are extremely high or low scores, they are not going to influence the median significantly as compared to the mean. Hence, we can say that the median is the most appropriate measure of central tendency when it is desired to minimize the effect of a few extreme scores.

The measure of central tendency that is most appropriate when it is desired to minimize the effect of a few extreme (very high or very low) scores is the median.

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Answer:

$7

Step-by-step explanation:

The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

$245

Step-by-step explanation:

0.7 * 350 = 245

Answer:

The TV will become $245 if the price is reduced by 30%

Step-by-step explanation:

30% of 350= 105

350-105=245

Answer: $245

the smallest one of the smallest one of the reasons you have any ideas for dinner tonight

Answer:  

3 i think :0

Step-by-step explanation:

Answer:

y=7.50x+35

Step-by-step explanation:

This one is the correct answer. If you are having trouble, I highly recommend you look closely at the question. $7.50 per hour- per hour is the keyword. That means that you put the x next to $7.50. 35 is one charge, and it is not continuing so you leave it as 35.

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Michael drinks 33.5 fl oz more fluid ounces than Lydia.

Given in question,

30 ml = 1 fl oz

  1 ml = 1/30 fl oz

1 bottle = 335 milliliters

No. of bottles of water Michael drank = 6

                                                              = 6 * 335 milliliters

                                                              = 2010 milliliters

                                                              = 2010/30 fl oz

                                                              = 67 fl oz

No. of bottles of water Lydia drank = 3

                                                           = 3 * 335 milliliters

                                                           = 1005 milliliters

                                                           = 1005/30 fl oz

                                                           = 33.5 fl oz

Therefore, 67 - 33.5 = 33.5

Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.

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Answer:

x=26

Step-by-step explanation:

substitute x with 1: 5(1)+1+16

Answer:

x = -4

Step-by-step explanation:

The functional notation () simply means that you replace in the function with whatever values are in the domain. So  () = 5 ( + 1) + 16 means that the solution set will contain the answer for every value of  .

In the question,  () = 1. So you set the function equal to 1, then solve for :

() = 1 = 5 ( + 1) + 16.

Add  −16  to both sides: − 15 = 5 ( + 1)

Divide both sides by  5: − 3 = + 1

Add  −1  to both sides: − 4 =

Answer:

Step-by-step explanation:

she has 78.05 dollars left over

Answer:

200

∧

Step-by-step explanation:

The length and width of the rectangle with area of 960 cm² are 47.3 cm and 20.3 cm respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and parallel to each other.

The area of the rectangle is 960 square centimetres. The ratio of the length to the width is 7:3. Therefore, the length and the width of the rectangle can be found as follows:

Therefore,

area of a rectangle = lw

where

Hence,

960 = lw

Let 3x be the width; then length must be 7x. Area = the product 21x² = 960 cm².

Therefore,

21x² = 960

x² = 960 / 21

x² = 45.7

x = √45.7

x = 6.76

Therefore,

length = 7(6.76) = 47.3 cm

width = 3(6.76) = 20.28 cm

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The linear equation in the form p = mn + b that gives the price p they can change charge for n- shirts is; p = (9/1000)n - 9.

As per the given question;

number of shirts = n

The charge per shirt = p.

The equation describing the relation is;

p = mn + b

The price of 6000 shirts = $81.

Put the value is equation;

81 = 6,000m + b  .....eq 1

The price of 10,000 shirts = $45.

45 = 10,000m + b .....eq 2

Solving eq 1 and eq 2 by elimination method.

m = 9/1000

Put the value of m in eq 2 and find b.

b = -9

Now, put the value of b and m in the equation.

p = (9/1000)n - 9

Thus, the equation in the form p = mn + b that gives the price p they can change charge for n shirts is; p = (9/1000)n - 9.

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The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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Answer:

v=0.04m+0.05

Step-by-step explanation:

i'm not sure if this is right since i haven't done math in forever

What's your question?

Please tell your question...

Answer:

a) \(b=\frac{8}{3}\)

c) \(f=\frac{7}{8}\)

a) Using cross multiplication, you would get: 9b + 6 = 30.

   This means that 9b = 24, so b = 24/9.

   24/9 can be simplified into 8/3

   b = 8/3

b) Using the same method as before- cross multiplication...

   12 - 3f = 5f + 5.

   This means 8f + 5 = 12.

   So you simplify it to 8f = 7.

   f = 7/8

The variable type and level of measurement are: numerical, interval; numerical, interval; categorical, ordinal; categorical, ordinal; categorical, nominal; numerical, interval; categorical, nominal.

Variable type and level of measurement refer to the characteristics of a variable and the way it is measured. Numerical variables are those that represent quantities, such as height or weight, and can be further classified as interval (e.g., temperature measured in Celsius or Fahrenheit) or ratio (e.g., weight measured in grams). Categorical variables represent categories or groups, such as gender or education level, and can be further classified as ordinal (e.g., education level ordered from less to more education) or nominal (e.g., gender). Understanding the type and level of measurement of variables is important for selecting appropriate statistical methods and interpreting results.

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Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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The limit of a sequence is the value that the terms of the sequence approach as the index (or position) of the terms becomes arbitrarily large. It represents the behavior of the sequence in the long run.

find the limit of the sequence with the given nth term, an = 7n + 4 - 7n.

First, let's simplify the nth term:

an = 7n + 4 - 7n
an = 7n - 7n + 4
an = 0 + 4
an = 4

Now that we have simplified the nth term, we can see that the sequence is a constant sequence, where all the terms are equal to 4. To find the limit of a constant sequence, we simply look at the value of the constant term.

In this case, the limit of the sequence as n approaches infinity is equal to the constant term, 4.

So, the limit of the sequence with the given nth term is 4.

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9514 1404 393

Answer:

  f(x) = 3x +5

Step-by-step explanation:

The x-values change by 1 from the first line to the second.

The y-values change by -13-(-16) = 3 from the first line to the second.

Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:

  f(x) = 3x + 5