Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equation obtained in Part A for the first six hours?

Answers

Answer 1

Answer: Assuming that the car is travelling at constant acceleration, follows the equation: v = (v_in) + at where v = velocity v_in = initial velocity, (at t = 0) a = acceleration t = time Given the conditions, v = 51 at t = 3, and v = 59 at t = 5 Eqn 1: 51 = (v_in) + a(3) Eqn 2: 59 = (v_in) + a(5) Solving for v_in and a (using a calculator) v_in = 39 a = 4 therefore the equation for the motion of the car is: v = 39 + 4t This equation can be plotted using excel or wolframalpha.

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Which expressions have a value of 18? Choose all answers that are correct. A. –3 – 21 B. 7 – (–25) C. 34 – 16 D. –4 – (–22)

Answers

A) -3 - 21 = $-24$
B) 7 - (-25) = $32$
C) 34 - 16 = 18
D) -4 - (-22) = 18

Answer: C and D

C. 34 - 16 = 18
and
D. -4 - (-22)
-4 + 22 = 18

Which expression is equivalent to x^4-y^2 ?

Answers

$x^(4)$ - y²
x² · x² - y ·y
(x² - y)(x + y) = $x^(4)$ - y²

To whitch subsets does the number - the square root of 25 belong select all that apply A)irrational numbers
B)rational numbers
C)integers
D)whole numbers
E)natural numbers

Answers

The square root of 25 belongs to the subsets of B. Rational numbers

What is a rational number in math?

Reasonable Numbers: Any number that can be written as the ratio (or fraction) of two integers is a logical number.

How do you recognize a rational number?

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, where both the number (number above) and denominator (bottom number) are whole numbers. The number 8 is a rational number because it can be written as a fraction of 8/1.

Learn more about Rational numbers at brainly.com/question/12088221

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sqrt 25 = 5....rational, integer, whole number, and natural

Help me please guys

Answers

Answer:

Graph A

Step-by-step explanation:

Since it is not equal to, the line would be dotted. The y-intercept is at 2 and the slope is 3/4. Since y is less than 3/4x+2, the shaded portion would be below so, the correct graph out of all the options would be Graph A.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

the answer should be c!!!

Megan borrowed $50,000 at 5% simple interest for 6 years. joseph borrowed $60,000 at 4% simple interest for 8 years. using the formula who will have a greater monthly payment, m, and by how much?

Answers

Answer:

Megan will pay $78 more than Joseph.

Step-by-step explanation:

Formula: Simple Interest = P x R x T

Megan Info

Borrowed Money (P)=$50,000
Rate of interest (r)=0.05
Time (t) = 6 years

Simple interest paid by Megan = 50,000 x 0.05 x 6 = 15000

Total amount paid in 6 years = 50000 + 15000 = $65,000

Monthly payment by Megan (m) = 65000÷72 = $903

Joseph Info

Borrowed Money (P)=$60,000
Rate of interest (r)=0.04
Time (t) = 8 years

Simple interest paid by Magan = 60,000 x 0.04 x 8 = 19200

Total amount paid in 8 years = 60000 + 19200 = $79,200

Monthly payment by Joseph (m) = 79200÷96 = $825

Now we find Difference of monthly payment

⇒Megan - Joseph

⇒ 903-825

⇒ $78

Thus, Megan will pay $78 more than Joseph.

Answer:

Megan will pay approximately $78 more per month.

Step-by-step explanation:

The senior class plans a school trip to Washington DC. Students should bring money for meals andsouvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.

Answers

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

≤

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.

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Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide by 80 mm high. She moves the projector so that the width of the projected image is 300 mm. If the original drawing and the projected image are similar figures, what will be the height of the projected image?

Which of the following scenarios has a lower y-intercept than y = 4x + 5 ?(a.) A 50 gallon tub is draining. Every 2 minutes, the amount of water decreases by 2 gallons.(b.) Reginaldo had $17 in his account and for every book he buys, it costs him $4.(c.) Sydney has collected 8 postcards. Each time a friend comes to visit, Sydney gives her a postcard.(d.) Owen has 3 pets. He receives a new pet each time he has a birthday.

Log3x - log3(x − 8) = 2?????