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4 years ago

PLZ, PLZ, PLZ PLZZZZ help. ASAP!!!!! Answer all questions with the blue circle.

Mathematics

1 answer:

Schach [20]4 years ago

8 0

Answer:

0.28 and 4.48

Step-by-step explanation:

c) You have to find the number by which the numbers in the list get multiplied.

If you divide the third number 1.12 by the first 0.07, you get 16. To get from 0.07 to 1.12, the 0.07 was multiplied twice by this number. 16=4*4, so the multiplier is 4.

Now it is possible to calculate the whole series:

0.07 * 4 = 0.28

0.28 * 4 = 1.12

1.12 * 4 = 4.48

4.48 * 4 = 17.92

d) divide the second by the first number:

$\frac {1}{1\frac{1}{10}} = \frac{1}{\frac{11}{10}} = \frac{10}{11}$

So work with factor 10/11 to calculate the series:

11/10, 1, 10/11, 100/121, 1000/1333, ...

g) Divide 7/12 by 2/3 to find 7/8. So the number preceding 2/3 is (2/3) / (7/8) = 16/21 and the numbers after 7/12 are:

(7/12) * (7/8) = 49/96

and

(49/96) * (7/8) = 343/768

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Find the exponential function P(t)=P0a^t where P(2)=5 and P(4)=10

asambeis [7]

Answer:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

Step-by-step explanation:

$P(2)=5$ meants when $t=2$ , that the value for $P(t)$ is 5.

So this gives us this equation:

$5=P_0 \cdot a^2$

$P(4)=10$ meants when $t=4$ , that the value for $P(t)$ is 10.

So this gives us this equation:

$10=P_0 \cdot a^4$

So I take equation 2 and divide it be equation 1 I get:

$\frac{10}{5}=\frac{P_0 \cdot a_4}{P_0 \cdot a_2}$

Simplifying:

$2=a^2$

Since the base for an exponential function can't be negative then $a=\sqrt{2}$ .

So plugging into one of my equations I began with gives me an equation to solve for the initial value, $P_0$ :

$5=P_0 \cdot (\sqrt{2})^2$

$5=P_0 \cdot 2$

Divide both sides by 2:

$\frac{5}{2}=P_0$

The function is:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

7 0

3 years ago

In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 7 in.?

soldi70 [24.7K]

Answer:

the length of the hypotenuse is 14 in

Step-by-step explanation:

Focus on the 30 degree angle. Recall that the sine of an angle is defined as

opposite side

sin Ф = ----------------------

hypotenuse

and that sin 30° is always 1/2.

7 in 1

Then sin 30° = ------------------- must equal -----

hypotenuse 2

After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),

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3 years ago

The hour hand of a clock moves −30° every hour. How many degrees does it move in 2 1/5 hours? The hour hand of a clock moves ___

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The number of degrees does it move in 2 1/5 hours is -66°.

<h3>How to calculate the number of degrees?</h3>

From the information given, it was illustrated that the hour hand of a clock moves −30° every hour.

Therefore, to calculate the degree for a number of hours, we simply have to multiply.

In this case, to get the degree for 2 1/5 hours will be:

= Degree every hour × Number of hours

= -30° × 2 1/5

= -30° × 2.2

= -66°

Learn more about time on:

brainly.com/question/26046491

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4 0

1 year ago

You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $13.65. For Account B, th

Rama09 [41]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

For account A, the simple interest earned after 21 months is $13.65. The interest rate is 3.9% for Account A

Let y represent the principal for account B. Therefore

P = x

I = $13.65

T = 21/12 = 1.75 years

R = 3.9

Therefore

13.65 = (x × 3.9 × 1.75)/100

1365 = 6.825x

x = 1365/6.825 = $200

For account B, the simple interest earned after 30 months is $40.25. The interest rate is 2.3% for Account B

Let x represent the principal for account A. Therefore

P = y

I = $40.25

T = 30/12 = 2.5 years

R = 2.3

Therefore

40.25 = (y × 2.3 × 2.5)/100

4025 = 5.75y

y = 4025/5.75 = $700

The principal for account A is $200

The principal for account B is $700

For account A, interest earned in the first month is

13.65/21 = $0.65

For account B, interest earned in the first month is

40.25/30= $1.34

Account B earned the most interest in the first month(the same interest is earned every month)

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4 years ago

Determine the approximate value of side a.

Nostrana [21]

The answer to this question is 97 i think

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