1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12

for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?


Show your work or strategy:





When does the car reach its minimum speed? _________________





What is the minimum speed? _________________________

Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.

Given that, cost of tuition fee is $9,600 for the first year.

Now, Mateo's parents will pay for one-third of the tuition thus:

1/3 x $9,600 = $3,200

From the saving the money used is $1500 thus the remining cost is:

$9,600 - $3,200 - $1,500 = $4,900

For 12 months in a year we have:

$4,900 / 12 = $408.33

Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Given the points (-2, 4) and (3, -5)

We will find the slope-intercept form of the equation of the line that passes through the given points.

The slope-intercept form is: y = m * x + b

where: m is the slope and (b) is the y-intercept

We will find the slope using the following formula:

So, the slope will be:

substitute with (m):

substitute with the point (3, -5) to find the value of b:

Substitute with (m) and (b) into the slope-intercept form:

So, the answer will be:

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Answer:

$239

Step-by-step explanation:

Use the compound interest formula and substitute the given values:

A=$200(1+0.18/12)\(^{12(1)}\)

Simplify using the order of operations: A=$200(1.015)\(^{12}\)=$200(1.195618171) ≈ $239.

Answer:

239.12

Step-by-step explanation:

A=$200(1+0.1812)12(1).

Simplify using the order of operations: A=$200(1.015)12=$200(1.195618171)≈$239.12.

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

\(\frac{dx}{dt} = ax\)

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer: x-2

Use A=Lw

A/L=w

if you factor and cancel, you are left wirh x-2.

the 2nd expression is the answer

Answer:

(4(f(2)

Step-by-step explanation:

If f(x(=3x-1 then f(3)f(2)

Answer:

See below.

Step-by-step explanation:

Find the Lowest Common Multiple, or LCM of 8 and 12.

8 - 8, 16, 24

12 - 12, 24

7 x 3 = 21

8 x 3 = 24

1 x 2 = 2

12 x 2 = 24

21/24 - 2/24 = 19/24

-hope it helps

well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

The probability that the selected pupil studied both Russian and Spanish is 0.24%.

For the stated question-

Thus,

P(E) = P(R) + P(S) - P(R∩S) + P(R'∩S')

0.80  = 0.50 + 0.31 - P(R∩S) + 0.23

P(R∩S) = 0.24

Thus, the probability that the selected pupil studied both Russian and Spanish is 0.24%.

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Answer:

Step-by-step explanation:

-5 - 9x = 3-9x-8  (Used distributive property)

-5 - 9x = -9x-5  (-8+3 = -5)

- 9x = -9x  (Add 5 to both sides)

0 = 0 (Add 9x to both sides)

Answer:

√2 is the only irrational number here. Others are rational

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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i think it is 60 because 30 divided by 3-4 equals 2Step-by-step explanation:

Answer: Choice A

Step-by-step explanation:

it increases

Answer:

x = 10.5

Step-by-step explanation:

3x - 30 = 1.5

3x = 31.5

x = 10.5

Answer:

its 23

Step-by-step explanation:

The circumference of the circle with a radius of 10 cm is 20π cm, option (C) is correct.

A circle's perimeter, or the distance encircling it, is known as its circumference. It is determined by multiplying the circle's diameter by pi. But in this case, we are given the radius of the circle, which is half of the diameter.

To get a circle's circumference, use the following formula:

C = 2πr

where;

r = radius of the circle

π = mathematical constant pi (approximately equal to 3.14).

Given the radius of the circle as 10 cm, we can use the formula to find its circumference:

C = 2πr

C = 2π(10 cm)

C = 20π cm

Hence, option C is correct.

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The correct question is:

What is the circumference of the circle with radius = 10 cm (leave your answer of π).

A) 10π cm

B) 5π cm

C) 20π cm

D) 10π cm

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Step-by-step explanation:

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer:8z+5

Step-by-step explanation: Add 3z to 5z  which equals 8z and do 9-4 which equals 5 .Lastly add together.

The probability of a child having curly hair when both parents have the gene combination C's is 3/4, or 75%.

what is probability ?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. An event is any outcome or set of outcomes of a random process or experiment. Probability can be used to quantify the chance of an event occurring, and it is often expressed as a fraction, decimal, or percentage.

To calculate the probability of an event, we can use the formula:

P(event) = number of favorable outcomes / total number of outcomes

According to the question:
When two parents each have the gene combination C's, they can each pass either a C or an s to their child. This gives four possible outcomes for the child's gene combination: CC, Cs, sC, and ss.

Of these four outcomes, three include at least one C and therefore result in curly hair: CC, Cs, and sC. The only outcome that results in straight hair is ss.

Since all outcomes are equally likely, the probability of the child having curly hair is the number of favorable outcomes (CC, Cs, or sC) divided by the total number of outcomes (CC, Cs, sC, or ss):

P(curly hair) = number of favorable outcomes / total number of outcomes

= 3/4

Therefore, the probability of a child having curly hair when both parents have the gene combination C's is 3/4, or 75%.

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Answer:

26 gallons

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon