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Ulleksa [173]
2 years ago
9

A barometer falls from a weather balloon

Mathematics
1 answer:
8_murik_8 [283]2 years ago
7 0

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

\sqrt{900} =\sqrt{t^{2}}

30=t

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The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four
Olegator [25]

Answer:

13

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

8 0
3 years ago
The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?
Aneli [31]

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

4 0
3 years ago
1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.
Greeley [361]

Answer:

8.2+/-0.25

= ( 7.95, 8.45) years

the 95% confidence interval (a,b) = (7.95, 8.45) years

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.2 years

Standard deviation r = 1.1 years

Number of samples n = 75

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

8.2+/-1.96(1.1/√75)

8.2+/-1.96(0.127017059221)

8.2+/-0.248953436074

8.2+/-0.25

= ( 7.95, 8.45)

Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years

3 0
2 years ago
may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^
koban [17]

<u>Answer:</u>

x=2\sqrt{2}, x=-2\sqrt{2}, x=4i, x=-4i

<u>Step-by-step explanation:</u>

x^4+11x^2=3x^2+128

First, we subtract 128 from both sides:

x^4+11x^2-128=3x^2

Then, we subtract 3x^2 from both sides:

x^4+8x^2-128=0

Rewrite the equation:

u^2+8u-128=0

Insert and solve:

u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i

<em>Please give Brainliest</em>

8 0
2 years ago
A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.
patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

brainly.com/question/2882938

#SPJ1

5 0
2 years ago
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