write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answer:

how many people are there, does it say?

Step-by-step explanation:

Answer: 78 ounces of dough

Step-by-step explanation:

You bought 78 ounces of dough and 52 ounces of sauce

Answer:

605

Step-by-step explanation:

11x55=605

The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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Answer:

Step-by-step explanation:

Not sure

Answer:

x = g + c

Step-by-step explanation:

This is the answer because:

1) Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Therefore, the answer is x = g + c

Hope this helps! :D

Answer:

After applying the distributive property, Ezra's expression was 8y + 16

After he used the commutative property, his expression was 16 + 8y

Step-by-step explanation:

Distributive property rule: a(x+y) = ax + ay
   Not much to explain here

Commutative property rule: a + b = b + a   or  xy = yx
   We use addition rule in this case, simply place 16 in front of 8y

The required solution is as follows,
(a) The ratio of all flowers in the vase daisies is 14: 9
(b) The ratio of daisies to roses 9:5

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Number of daises in vase = 14 - 5 = 9

(a) The ratio of all flowers in the vase daisies,
= 14 / 9 or 14:9

(a) The ratio of daisies to roses,
= 9 / 5 or 9 : 5

Thus, the required ratio of flowers is given above.

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Answer:

Answer: 75.4 or 75.398. So we can plug in the formula pi*r^2*h. R being radius and h being height. So then we can put and get pi*2^2*6 = pi*4*6 = pi*24 = 75.398 = 75.40.

Answer:

10

Step-by-step explanation:

Answer: 25 percent

Step-by-step explanation:

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

(a). Convert to improper fractions;

(7/4) / (1/2 - 3/2)^3

(b). Simplify;

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

(a). Convert to improper fractions;

((7/4)/ (1/2)) - (3/2)^3

(b). Simplify;

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

Answer: B I think...

Step-by-step explanation: Sorry if im wrong

Answer:

A

Step-by-step explanation:

Average rate per hour = 18 / 3 or 6

if we want to find how many miles the hot air balloon will travel in 3/4 of an hour we multiply average distance by time

So our answer = 3/4 * 6

3/4 * 6 = 4.5

Therefore in 3/4 hour the hot air balloon will have traveled 4.5 miles.

Answer:

Step-by-step explanation:

35 is the answer because where it says frequency you have to add it all together.

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

= 0.2496 /2000

= 0.0001248

Therefore the Variance of the population proportion is approximately = 0.00012

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

NO

Step-by-step explanation:

Answer:

a = -0.2cx^-1 + 1.7x^-1

Step-by-step explanation:

Solving for variable a.

Add "-c" to each side of the equation.

5ax + c + -c = 8.5 + -c

5ax = 8.5 - c

Divide each side by 5x.

a = 1.7X^-1 - 0.2cx^-1

Final answer:

a = -0.2cx^-1 + 1.7x^-1

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

The value of \((10c^6d^{-5})(2c^{-5} d^4)\) is \(20d^{-1}\).

Step-by-step explanation:

In this problem, we need to evaluate \((10c^6d^{-5})(2c^{-5} d^4)\). Here, c and d are variable with exponents.

Taking both c together

\(=(10c^6{\cdot} 2c^{-5})\\\\=20(c^6{\cdot} c^{-5})\\\\=20c^{6-5}\\\\=20\)

Taking both d together

\(=(d^{-5}{\cdot}d^4)\\\\=d^{-5+4}\\\\=d^{-1}\)

So,

\((10c^6d^{-5})(2c^{-5} d^4)=20d^{-1}\)

Hence, the value of \((10c^6d^{-5})(2c^{-5} d^4)\) is \(20d^{-1}\).

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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Answer:

44

Step-by-step explanation:

so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60

73%*60=43.8

but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!

hope it helps :)

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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The equation of line is x + 2y = 12.

The equation of a straight line is y= mx+c , m is the gradient and c is the height at which the line crosses the y -axis, also

For example,

We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5

Given:

line p passes through point (2,5)

and perpendicular to the line whose equation is y=2x+3.

As the slope of line is

m=2

for perpendicular the slope of another line is

m' = -1/m

m' = -1/2

Now, the equation of lines passes through (2, 5)

y-\(y_{1}\)= m (x-\(x_1\))

y-5= -1/2(x - 2)

2y - 10 = 2 -x

x + 2y = 12

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Answer:

15x - 35 + 20y

Step-by-step explanation:

distribute

5 x 3x = 15x

5 x -7 = -35

5 x 4y = 20y

Answer:

3

Step-by-step explanation:

Solve for n

Step-by-step explanation:

500 mg = 500 × 1 g / 1000 = 1/2 g = 0.5 g

so, the original target ratio is

0.5 g / 1 ml

the ratio has to be maintained when adding x ml of the sterile water to the 3 g.

3 g / x ml = 0.5 g / 1 ml

3 g / 0.5 g = x ml / 1 ml

3/0.5 = x

x = 6

only with x = 6 do we keep the target ratio.

so, we need to add 6 ml to the 3 g vial to make it a 500 mg/ml solution.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).