For a certain​ automobile, M(x)=−.015x^2+1.42x−7.8​, 30≤x≤60​, represents the miles per gallon obtained at a speed of x miles per hour. ​(a) Find the absolute maximum miles per gallon and the speed at which it occurs. ​(b) Find the absolute minimum miles per gallon and the speed at which it occurs.

Answer:

Multiplication sorry I late

Step-by-step explanation:

Answer: Multiplication property of equality

Answer:

Step-by-step explanation:

Since BD = DC, the triangle BDC is isosceles, so

Having m∠BDC = 100°, we can find m∠C

Finding angle B

Finding angle A

Answer:

m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:10,-4 and 58/9,-2

Step-by-step explanation:

Plato users

Answer:a.4 dollars per pint

b.4th a pint/ 1 cup per dolllar

c. 5 pints

d.32 dollars

Step-by-step explanation:

Answer:

33.6

Step-by-step explanation:

Answer:

x²=36

x²=6²

equating both squares

x=6

so, b is correct answer

The solution of the given quadratic equation is x=6 and x=-6.

The given equation is x²=36.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given equation can be solved as follows

Now, x²=36

Square root on both the sides, we get

x=±√36

⇒ x=±6

So, x=6 and x=-6

Hence, the solution of the given quadratic equation is x=6 and x=-6.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ2

Answer:

65%

Step-by-step explanation:

To find percentage, take the number out of the whole number, and divide it by the whole number. In this case, 1495 out of 2300 said they are satisfied. To find the percent, we have to do 1495/2300=0.65, which is 65%.

Answer:

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

Step-by-step explanation:

We are given:

Principal Amount (P) = $5000

Years (t) = 5

Rate (r) = 3% or 0.03

We need to find New Amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Since amount is compounded continuously so n=1

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]

So, New Amount (A) = $5800

The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

Answer:

The difference between two consecutive numbers in this sequence would be something like:

(2n + 1)^(2*k) - (2n)^(2k)

(or in the other order, but is essentially the same)

where n is an integer number.

Then:

2*n is an even number

2*n + 1 is an odd number.

(2n)^(2k) = 2*(2^(2k-1)*n^(2k)) this will be even for any natural number k.

(2n + 1)^(2k)

Let's suppose that k = 1.

Then we have:

(2n + 1)^(2) = (2n + 1)*(2n + 1) = (2n)^2 + 4n + 1 = 2*(2n^2 + 2n) + 1

If (2n^2 + 2n) is an integer (and it is) we can rename it as N

(2n + 1)^(2) = 2*N + 1

It is still odd.

Now if k = 2, we will have:

(2n + 1)^(2*2) = (2n + 1)^(4)

And using what we found above, we can rewrite this as:

(2*N + 1)^2

And we know that this will be odd.

Then we can already see that:

(2n + 1)^(2k) will be odd for any value of k (where k is a natural number)

Then:

(2n + 1)^(2k) -  (2n)^(2k)

Is the difference between an odd number and an even number, and this will always be an odd number.

Answer:

To find this, multiply 6 by the decimal value of the percent.

6*2.6=15.6

Final answer: 15.6

Step-by-step explanation:

Answer:

15.6 or c

Step-by-step explanation:

light stand for knowledge in the poem

Answer:

light stand for knowledge in the poem

Step-by-step explanation:

Answer:

They are equal and we can prove this using the AAS Congruence Postulate.

Step-by-step explanation:

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

Answer:

I am not really good at this but...if I had to choose the ones that make sense

A and B

Step-by-step explanation:

Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.

Then again I woild not trust my math for the second answer cause I am no good at math.

Answer:

y = 3

General Formulas and Concepts:

Step-by-step explanation:

The question is asking us what the y-value is when x = -2.

According to the graph, when x = -2, y = 3.

Therefore, y = 3.

Answer:

2) 8x^2 -6x-7 hope this helps

Answer:

-4 ≤ x ≤ 4

Step-by-step explanation:

The domain is essentially the range of values x can take. In the figure, the highest value is 4 and the lowest is -4.

Answer:

y-6=2(x-5)

I hope this is good enough:

Answer:

1. 91 = 70*1.30

2a. 195= 150*1.30

2b. 210 = 150*1.40

3a.  56.70 = 156* .30

3b.  132.30 = 156-56.70

3c.  17.20 = 132.30 *0.13

3d.  149.50 = 132.30+17.20

3e. You do not have enough money, because you need $9.50 more.

Step-by-step explanation:

good luck

Question 1:

70 x 1.30 is 91 - 70 is equal to 21 pizzas, they would have to sell 91 total pizzas, which is 21 more than what was sold the previous day

Question 2:

Both parts are solved below:

Step-by-step explanation:

Given:

Purchase price = 150

Part A

As the online trailer marks up 30% so the price would be:

= 150 + 30% of 150

=150 + 0.3(150)

= 150 + 45

Price online= $195

° ♡ ₒ ♡ °

Part B

As the superstore marks up the price by 40% so the price would be:

= 150 + 40% of 150

=150 + 0.4(150)

= 150 + 60

Price at superstore = $210

° ♡ ₒ ♡ °

Difference

Difference = price at superstore - price online

Difference = 210 - 195

Difference = $15

Difference in markup = 40% - 30% = 10%

So a 10% difference leads to the difference of $15 in price.

Answer:

18p^2-2p

Step-by-step explanation:

You need to distribute

2*9= 18, p*p= p^2 so 18p^2

Then

2*-1= -2 and you need to include the p so -2p

Answer:

answer is - 95, 40, 45

Step-by-step explanation:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

(8x-1)+(3x + 4)+(3x + 9) = 180

=> 14x +12 = 180

=> 14x = 180-12

=> x = 168/14 = 12

now putting value of x = 12

we get---

8*12 -1 = 96-1 = 95

3*12 + 4 = 36+4 = 40

3*12 + 9 = 36 + 9 = 45

( Answer )

Answer:

Debit Insurance expense for $3,000

Credit Prepaid insurance for $3,000

Step-by-step explanation:

Before the recording entry, the monthly insurance expense has to be calculated first as follows:

Monthly insurance expense = Prepaid insurance / n ............. (1)

Where;

Prepaid insurance = Insurance policy amount = $36,000

n = number of months = 12

Substituting the values into equation (1), we have:

Monthly insurance expense = $36,000 / 12 = $3,000

Since the monthly insurance expense is $3,000, it implies that the insurance expense for March is $3,000.

the entry to record the monthly insurance expense in March will therefore look as follows:

Month      Account Title                     DR ($)                CR ($)              

March      Insurance expense          3,000

                    Prepaid insurance                                    3,000

               (To record monthly insurance expense for March)              

Answer:

(a) 0.7472

(b) 0.2397

(c) 3.6

Step-by-step explanation:

Let X denote the number of children who are hyperlipidemic.

The proportion of children who are hyperlipidemic is, p = 0.30.

A random sample of n = 12 children are analyzed.

Every child is independent of the others to be expected to meet the criteria for hyperlipidemia.

The random variable X follows a binomial distribution with parameters n = 12 and p = 0.30.

(a)

Compute the probability that at least 3 are hyperlipidemic as follows:

[tex]P(X\geq 3)=1-P(X<3)\\\\=1-\sum\limits^{2}_{0}{{12\choose x}(0.30)^{x}(0.70)^{12-x}}\\\\=1-0.25282\\\\=0.74718\\\\\approx 0.7472[/tex]

Thus, the probability that at least 3 are hyperlipidemic is 0.7472.

(b)

Compute the probability that exactly 3 are hyperlipidemic as follows:

[tex]P(X=3)={12\choose 3}(0.30)^{3}(0.70)^{12-3}\\\\=220\times 0.027\times 0.040353607\\\\=0.23970042558\\\\\approx 0.2397[/tex]

Thus, the probability that exactly 3 are hyperlipidemic is 0.2397.

(c)

Compute the expected number of children who would meet the criteria for hyperlipidemia as follows:

[tex]E(X)=np=12\times 0.30=3.6[/tex]

Thus, 3.6 children would be expected to meet the criteria for hyperlipidemia.

Answer:

Vertical Angles...............

Answer:

A)4

Step-by-step explanation:

Expression 4 superscript pt 5=4^5

Answer:

A

Step-by-step explanation:

Answer:

The total number of weeks Michelle needs to save is 29.

Step-by-step explanation:

Michelle plans to save $1185 in a number of weeks to determine later.

In the first 7 weeks, she will save $45 each week for a total of

$45 * 7 = $315

In the next 8 weeks, she will save $30 each week for a total of:

$30 * 8 = $240

During these 15 weeks, she has saved

$315 + $240 = $555

She still has a remaining $1185 - $555 = $630 to save.

Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:

$630 / $45 = 14 weeks

Total weeks = 15 + 14 = 29

The total number of weeks Michelle needs to save is 29.