8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft.

A differential equation is an equation that contains one or more functions with its derivatives. The value of h'(3) iss 14.

A differential equation is an equation that contains one or more functions with its derivatives.

Given

h(x) = g(f(x))

Let us differentiate with respect to x by using chain rule we get

h'(x) = g'(f(x))f'(x)

plug the value x =3 in the above equation

h'(3) = g'(f(3))f'(3)

The value of f(3)=4, f'(3)=7 by table given

Plugging in values we get

h'(3) = g'(4)×7

We have g'(4)=2

so h'(3) = 2×7

h'(3) = 14

Hence the value of h'(3) is 14.

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X is greater than negative 20     (-20)

Walk 5 mph for 2.5 miles : Would take 30 minutes. X

Drive 50mph : Would take 3 hours X

90mph for 180 miles : Would take 2 hours

Answer:

25.15 miles per gallon

Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.

Answer:

9(5x+7y)

Step-by-step explanation:

Answer:

14905.85

Step-by-step explanation:

P(1+r/n)^nt

10000 (1 + (.05/12))^ (12*8)

Answer:

she will have $14,906 in December of year 2018

Step-by-step explanation:

To find the amount of money she will have in December of the year 2018, we will simply use the formula;

Compound Interest: A = P ( 1 + r/n )^nt

where p = principal

           R = rate

           n = the number of times the interest is compounded per unit time

            T = time

             A= Accrued amount

From the question

Principal (p) = $10,000

Rate (r) = 5% = 0.05

Time(t) = 2018-2010 = 8 years

n = 12

We can now proceed to insert the values into our formula;

Compound Interest: A = P ( 1 + r/n )^nt

                                      = $10 000 ( 1 + 0.05/12) ^12×8

                                         =$10,000(1 + 0.00416667)^96

                                          = $10 000(1.00416667)^96

                                            =$10 000(1.4905859)

                                            =$14,905.895

                                             ≈$14,906 to the nearest whole number.

Therefore she will have $14,906 in December of year 2018

Answer:

height = 5.809

Step-by-step explanation:

l=6m

b=1.5m

l^2=b^2+h^2

36=2.25 +h^2

h^2 = 36 - 2.25

h=[tex]\sqrt{33.75}[/tex]

h = 5.809

Answer:

k > -26

Step-by-step explanation:

To isolate the k, you subtract 6 from both sides to get k < -26.

The correct answer is k > -26

Explanation:

To solve our equation first we need to set out our equation, k + 6 > -20. Next, we have to subtract 6 from both sides of the equation, k + 6 - 6 > -20 - 6 =      k > -26. Finally, we have our answer of k > -26.

Hope This Helps!!!

-AnimeDabGirl

The correct option is c. The total is calculated incorrectly.

When making a deposit, it is crucial that the total amount being deposited is calculated correctly on the deposit ticket. This total amount should match the sum of the cash and checks being deposited. If there is a discrepancy between the subtotal of the individual amounts and the total, the deposit ticket will not be accepted because it does not accurately reflect the amount of money being handled.

Here's the logic behind why the other options are not the primary issue:

a. The sub total is calculated incorrectly: While this is a potential error, the primary concern for the teller would be the total amount being deposited. The subtotal informs the depositor and the bank of the breakdown of the deposit, but the total is what ultimately needs to be correct for the deposit to be processed accurately.

b. Alissa forgot to sign the deposit ticket for less cash back: While a signature is important for verification purposes, especially if cash back is requested, the absence of a signature would typically result in the teller asking for a signature rather than outright rejection of the deposit ticket. The calculation of the total deposit amount is a more fundamental error that must be corrected before the deposit can be accepted.

d. Alissa forgot to date the deposit ticket: The date on a deposit ticket is important for record-keeping purposes. However, forgetting to date the deposit ticket is usually a minor issue that can be resolved quickly at the teller's window. It would not typically prevent the deposit from being accepted, assuming the total deposit amount is correct.

In summary, the teller's refusal to accept the deposit ticket in its current form most likely stems from an incorrect total calculation, as this directly affects the accuracy of the deposit transaction. Alissa will need to ensure that the total on the deposit ticket correctly reflects the sum of the cash and checks she is depositing. Once the total is corrected, the deposit ticket should be accepted by the teller.

Answer:

a₅ = 506.25                   option a

Step-by-step explanation:

Given that,

first term a₁ = 1600

common ratio (r) = [tex]\frac{3}{4}[/tex]

We need to find the fifth term of the geometric progression

We know that the nth term formula

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

So, n = 5

a₅ = 1600 [tex](\frac{3}{4})^{5-1}[/tex]

a₅ = 1600*[tex](\frac{3}{4}) ^{4}[/tex]

a₅ = 1600*81/256

a₅ = [tex]\frac{2025}{4}[/tex]

a₅ = 506.25                   option a

That's the final answer

Answer:

A. 506.25    

Step-by-step explanation:

Answer:

1. c. $450.

2.  22%

Step-by-step explanation:  

1. We will use simple interest formula to find the amount of interest after 2 years on $5,000. As interest is not compounded, so it will not matter if she moves the simple interest earned in separate account or not.

[tex]I=P*r*t[/tex], where,  

I= Amount of interest.

P= Principal amount.

r= Interest rate in decimal form.  

t= Time in years.

[tex]4.5\text{ percent}=\frac{4.5}{100}=0.045[/tex]

Upon substituting our given values in above formula we will get,

[tex]I=5000*0.045*2[/tex]

[tex]I=5000*0.09[/tex]

[tex]I=450[/tex]

Therefore, Tracy will get an amount of $450 as simple interest after 2 years and option c is the correct choice.

2. Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest.

6 months is same as 1/2 year.

[tex]I=P*r*t[/tex]

Upon substituting our given values in above formula we will get,

[tex]209=1900*r*\frac{1}{2}[/tex]

[tex]209=950*r[/tex]

[tex]r=\frac{209}{950}[/tex]

[tex]r=0.22[/tex]

Since interest rate is in decimal form, let us convert it in percent.

[tex]\text{Interest rate}=0.22\times 100=22\text{ percent}[/tex]

Therefore, interest rate of certificate of deposit was 22%.

Answer:

x + 6 >= -4

x can be from -10 or anything greater.

Step-by-step explanation:

-4 - 6 = -10

if you do any number less than -10 it won't work, but anything greater does

Step-by-step explanation:

Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:

264, 191, 160, 148, 262, 212, 268, 246

In order to find the mean, we need to add all those 8 numbers and divide by 8.

Therefore, mean = [tex]\frac{264+191+160+148+262+212+268+246}{8} =\frac{1751}{8} =218.9.[/tex]

In order to find the median, we need to arrange them in ascending order:

148, 160, 191, 212, 246, 262, 264, 268.

The middle most two values are 212 and  246.

Therefore, median = [tex]\frac{212+246}{2} =\frac{458}{2} = 229.[/tex]

[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]

[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]

[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]

[tex]\begin{pmatrix}148&160&191&212&246&262&264&268\\ 1&1&1&1&1&1&1&1\end{pmatrix}[/tex]

[tex]\mathrm{The\:most\:common\:element\:is\:not\:unique,\:so\:there\:is\:no\:mode}[/tex]

Answer:

B. 6.45

Step-by-step explanation:

So we know that you bought six pounds for $12.90, and you need to know how much it would cost for three pounds. You need to find out what one pound would cost, then multiply that by three.

You would do:

12.90 ÷ 6

Which equals : 2.15

Then take that and multiply it by 3:

2.15 × 3

Giving you 6.45.

Thus leading to, this fish would cost $6.45 for three pounds.

Answer: true

Step-by-step explanation: Using the order of operations, 81 / 9 would be first, which is equal to 9. Then, add 2. 2+9 = 11, so the answer is true.

Since division goes before addition we first divide 81:9 and get 9 and to that we add 2 addition goes after division. 9+2 is equal to 11 so the answer is True.

A good way to remember it is:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Hope this helps! <3

Answer: B(APEX)

Step-by-step explanation:

Answer:

216 kilometers

Step-by-step explanation:

126/14 = 9  (this means 9 kilometers per 1 liter)

9 x 24 = 216 kilometers

check the picture below.

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = [tex]\frac{66}{2}=33[/tex]

Similarly,  y = [tex]\frac{96}{2}=48[/tex]

y = 48° will be the answer.

Answer:

see explanation

Step-by-step explanation:

to find the first, fourth and tenth terms, substitute n = 1, 4, 10 into the rule

A(1) = - 3 + (1 - 1)(- 2.2) = - 3 + (0 × - 2.2) = - 3 + 0 = - 3

A(4) = - 3 + (4 - 1)(- 2.2) = - 3 + (3 × - 2.2) = - 3 - 6.6 = - 9.6

A(10) = - 3 + (10 - 1)(- 2.2) = - 3 + (9 × - 2.2) = - 3 - 19.8 = - 22.8

the required terms are - 3, - 9.6, - 22.8

Cost per box = $1.28
The cost of each box of crayons can be calculated by dividing the total cost by the number of boxes purchased.

Total cost: $28.16

Number of boxes: 22

Cost per box = Total cost / Number of boxes

Cost per box = $28.16 / 22
=$1.28

Answer:

6

Step-by-step explanation:

20 times .3 equals 6

the answer is 6 because (30 ÷ 100) × 20

Answer:

I think the answer is 2^8 millimeters longer than the small beetle

Step-by-step explanation:

Answer:

3 is the greatest number of book shelves Andy can use.

Step-by-step explanation:

You can solve this by finding the greatest common factor of 9 and 6, which turned out to be 3.

6/3 = 2 (reading books per shelf)

9/3 =3 (math books per shelf)

Every shelf there are 2 reading books and 3 math books.

Answer:

You would have to do  

7.50 x 32.5 which would equal

243.75

Please mark brainlist if helped! c:

What we know:

- Suzy earns 7.50$ per hour.

- Suzy worked 32.5 hour's last week.

What we need to find:

- We need to find the amount of money she had on her check.

What we need to do to solve this problem:

To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5

7.50×32.5=243.75

That being said, your answer is: 243.75

I hope this helps! :)

-LizzyIsTheQueen

Because this is a parallelogram, we know that the diagonals bisect. This means that AO = DO, and CO = BO

It doesn't matter which two segments we use, but I'm going to use CO = BO for this one.

3x - 7 = x - 1

2x = 6

x = 3

Option B. is the answer.

Answer: d

Step-by-step explanation:

Answer:

8a + 2b + c

Step-by-step explanation:

For subtracting polynomials we just need to operate subtracting the terms with same unknown. In our case we sum/subtract the terms that include a between them, the terms that have b between them and the therms with c between them. So we have:

(13a−4b+8c) - (5a−6b+7c) =?

13a−4b+8c - 5a+6b-7c = ?

Lets operate putting together terms with same unknown:

(13a - 5a) + (-4b +6b) + (8c-7c) =

8a + 2b + c

So, if we subtract 5a−6b+7c from 13a−4b+8c we get 8a + 2b + c

I hope it is clear!

Answer:

16 32 64

Step-by-step explanation:

Remark

Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.

Givens

Solution

r = t4/t3 = 8/4

r = 2

a = 1

Formula

Answer

By similar methods the next 2 items will be 32 and 64.

Note

The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.

This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.

When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:

So, the next three numbers in this pattern would be 16, 32, and 64.

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Answer:$36

Step-by-step explanation:

He has sold 6 and made $18 6x2=12 2x18=36

Answer:the value of y is 44

Step-by-step explanation: