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2 years ago

A geometric sequence has u4= -70 and u7=8.75 Find the second term of the sequence.

Mathematics

1 answer:

Kobotan [32]2 years ago

5 0

Answer:

-122.5

Step-by-step explanation:

Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75

1 term → 78.75/3 = 26.25

therefore, u2 = - 70 - 2(26.25) = -122.5

Topic: Patterns + Common difference

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4 batches of punch each batch has 16 fluid oz lemon juice and 4 pints of orange juice if each serving is 1 cup how many servings

Fudgin [204]

Answer:

40 servings.

Step-by-step explanation:

First we need to know the relation between pint and cup, and between oz and cup:

1 pint = 2 cup

8 oz = 1 cup

Now, we have that each batch has 16 fluid oz of lemon juice and 4 pints of orange juice, that is, 2 cups of lemon juice and 8 cups of orange juice, in a total of 10 cups.

If we have 4 batches, we have a total of 4 * 10 = 40 cups

So if each serving is 1 cup, the total made is equal to 40 servings.

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3 years ago

What is the area of this figure? 49.5 in² 66.5 in² 84 in² 91 in²

zubka84 [21]

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square = $side^{2}$

Side of the square is 7 in.

Area = $7^{2} =49in^{2}$

2) Area of triangle = $\frac{1}{2} .base . height$

Area of triangle = $\frac{1}{2} (12)(7) =42in^{2}$

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area = $91in^{2}$

3 0

3 years ago

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Harrizon [31]

Answer:

A. 8 beads per bracelet.

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3 years ago

The area of a square is 144cm2.what is the measurement of each side

Dmitry [639]

The area of a square is 144 cm^2. The measurement of each side is 12 cm

Solution:

Given, The area of a square is 144 $cm^2$

We have to find that what is the measurement of each side.

Now, we know that, area of a square = product of side value with another side value.

Let the side value of given square be "s"

Then, Area of square is given as:

$\begin{array}{l}{\text {area of square}=s \times s} \\\\ {\text {Area of square}=s^{2}} \\\\ {144=s^{2}} \\\\ {s=\sqrt{144}} \\\\ {s=\sqrt{12^{2}}}\end{array}$

On cancelling square root and square on right side,we get

s = 12

Hence, the side value of the square is 12 cm.

8 0

3 years ago

g Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the prese

Marizza181 [45]

Answer:

The probability that the result is positive is P=0.04475=4.475%.

Step-by-step explanation:

We have the events:

D: disease present

ND: disease not present

P: test positive

F: test false

Then, the information we have is:

P(D)=0.005

P(P | D)=0.99

P(P | ND)=0.04

The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

$P(P)=P(P | D)*P(D)+P(P | ND)*(1-P(D))\\\\P(P)=0.99*0.005+0.04*0.995\\\\P(P)=0.00495+0.0398=0.04475$

The probability that the result is positive is P=0.04475.

5 0

3 years ago