rearrange 3f+2g+3h+g-h-f​

Answer:

g(t) = 0; solve for t

Step-by-step explanation:

Given

Options (a) to (e)

Required

Which of the options is true

From the question, we understand that: g(t) represents hare's time to complete the race

At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.

Take for instance:

[tex]g(t) = 10 - t[/tex]

The time to complete the race is: g(t) = 0

So, we have:

[tex]0 = 10 - t[/tex]

Collect like terms

[tex]t = 10[/tex]

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).

Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

[tex]BD = 4[/tex]

[tex]BC =4\sqrt 3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find BD and BC

Solving BD

Considering angle at D, we have:

[tex]\cos(D) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(60) = \frac{BD}{8}[/tex]

Solve for BD

[tex]BD = 8 * \cos(60)[/tex]

[tex]\cos(60) = 0.5[/tex] So:

[tex]BD = 8 * 0.5[/tex]

[tex]BD = 4[/tex]

To solve for BC, we make use of Pythagoras theorem

[tex]CD^2 = BC^2 + BD^2[/tex]

This gives

[tex]8^2 = BC^2 + 4^2[/tex]

[tex]64 = BC^2 + 16[/tex]

Collect like terms

[tex]BC^2 =64-16[/tex]

[tex]BC^2 =48[/tex]

Take square roots

[tex]BC =\sqrt{48[/tex]

Expand

[tex]BC =\sqrt{16*3[/tex]

Split

[tex]BC =\sqrt{16}*\sqrt 3[/tex]

[tex]BC =4\sqrt 3[/tex]

Answer:

a) [tex]A(t) = 17500(1.0053)^{12t}[/tex]

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

a)

Loan of $17,500 means that [tex]P = 17500[/tex]

6.4% interest rate means that [tex]r = 0.064[/tex]

Compounded monthly means that [tex]n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 17500(1 + \frac{0.064}{12})^{12t}[/tex]

[tex]A(t) = 17500(1.0053)^{12t}[/tex]

b)

This is A(8). Then

[tex]A(8) = 17500(1.0053)^{12*8} = 29069[/tex]

The balance after 8 years will be of $29,069.

Answer:

a rectangle

Step-by-step explanation:

Answer:

C) [tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Step-by-step explanation:

The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is [tex]a^{2} +b^{2} =c^{2}[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths and [tex]c[/tex] is the length of the hypotenuse. This means that the length of the hypotenuse is [tex]c=\sqrt{a^{2} +b^{2} }[/tex] by taking the square root of both sides to solve for [tex]c[/tex], making option C correct.

Answer:

Since The graph of linear equation 3x + 2y = 16 cuts y-axis

So

x = 0

The required point is (0,8)

Step-by-step explanation:

Answer:2+6+2+1+3+2+1+1+3+0+4+2=27

27 divided by 12=2.25

The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

A system of equations is a collection of two or more equations with a same set of unknowns.

In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x

The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.

On solving both the equations

[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]

For 4 doctor visits charges are same and Rate 35 $ per doctor visit.

For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.  

Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

Learn more about system of equation here;

brainly.in/question/21918540

.

#SPJ2

Answer: 47

Step-by-step explanation:

you find the middle of the number sequence and you see that 47 is in the middle making that the answer

9514 1404 393

Answer:

  12/x^5

Step-by-step explanation:

The fractions are multiplied in the usual way. The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

__

  [tex]\dfrac{3}{x^2}\cdot\dfrac{4}{x^3}=\dfrac{3\cdot4}{x^2\cdot x^3}=\dfrac{12}{x^{2+3}}=\boxed{\dfrac{12}{x^5}}[/tex]

Answer:

copy and paste your question into brainly

Welcome C;

Mark brainiest ez

The transformation of f(x) to g(x) is f(x) is shifted down 2 units to g(x).

The correct option is (A)

Transformations of functions mean transforming the function from one form to another. Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

The given function f(x)= sin x

In the graph there is vertical shift from f(x) to g(x)

We know, the vertical shift depends on the value of k

When k>0, the vertical shift is described as

If we closely look at the graph the vertical distance in negative y-axis,

the distance between line f(x) and g(x) is from 0 to -2.

So, there is shifting of -2 units means there is downward shifting.

i.e., k=2

Hence, f(x) is shifted down 2 units to g(x).

Learn more about transformation of function here:

https://brainly.com/question/10377001

#SPJ2

Answer:

see below

Step-by-step explanation:   5 27  6  46

Corrie is 5 inches taller than Jason who is 4 ft. 9 in

Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in       or convert ft to inches and  add

          [4(12) + 9] + 5 = 62     62/12 = 5 ft. 2 in.

Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches  (-3) inches taller than Jason or 3 in. shorter than Jason

Jennifer is   4 ft. 9 in - 3 in. = 4 ft. 6 in

Answer:

I think that these are only the smallest sum of money that can be purchased

Answer:

C (40)

Step-by-step explanation:

8^2 + 15^2 = C^2

64 + 225 = C^2

289 = C^2

17 = C

It's asking for the permiter, so you have to add up all the sides:

8 + 15 + 17 = 40

Answer:

If 9 liters 400 millitres of water is further added, there will be 20 liters of water in the tub.

Step-by-step explanation:

Given that a tub contains 10 liters 600 millitres of water, to determine, if 9 liters 400 millitres of water is further added to this, what will be total water in the tub, the following calculation must be performed:

1 liter = 1000 milliliters

0.6 liters = 600 milliliters

10.6 + 9.4 = X

20 = X

Therefore, if 9 liters 400 millitres of water is further added, there will be 20 liters of water in the tub.

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

(5 x 20) + (8 x 10) =

100 + 80 =

180

Answer:

number 2 is your answer for your problem

Answer:

-0.625 = X

Step-by-step explanation:

Distributive Property

Answer:

x = 1/8

Step-by-step explanation:

3x + 8 + 5x = 3 to the second power

8x + 8 = 9

x = 1/8

Answer:

6 inches..

Step-by-step explanation:

11 inches of wires : 44 cents

1 inch of wire: 4 cents

4 * 6 = 24

Then,

6 inch of wire costs 26 cents.

Please mark brainliest

Answer:

you said t years

what does that mean

Step-by-step explanation:

Answer:

The answer for this question is 64 square centimeters

Step-by-step explanation:

To find the area of square , the formula is :

side × side , so in this question we should do 8×8 , since one of the side is 8 cm .

8×8 = 64

Thus the answer of your question is 64

—————————————————

[tex]\mathrm{A = s²}[/tex]

[tex]\mathrm{A = (8 \: cm)²}[/tex]

[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]

[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]

Answer:

10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90y95

Answer:

14 5+9=14

Step-by-step explanation:

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

Answer:

57.5

Step-by-step explanation:

Got it right on the test.