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Rashid [163]
3 years ago
15

Eliminate the parameter. x = t - 3, y = t2 + 5

Mathematics
1 answer:
Sergio [31]3 years ago
7 0

Answer:

y = x^2 +6x+14

Step-by-step explanation:

x = t - 3, y = t^2 + 5

x=t-3

Add 3 to each side

x+3 = t-3+3

x+3 =t

Substitute into the second equation

y = t^2 +5

y = (x+3)^2 +5

Foil the first term

y = (x+3) (x+3) +5

y = (x^2 +3x+3x+9) +5

y = x^2 +6x+9) +5

y = x^2 +6x+14

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Use the diagram to find the height of statue.round to the nearest tenth
jeyben [28]

Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

tan(52) = \frac{h}{5.7}

Multiply both sides by 5.7

tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7

tan(52) \times 5.7 = h

h = 7.3 ft (nearest tenth)

6 0
2 years ago
Which power has a base of 2 and an<br> exponent of 6?<br> A 28<br> B 62<br> C 126
Mashcka [7]

Answer:

A

Step-by-step explanation:

the base is the the big number, the exponent the small one

8 0
3 years ago
Read 2 more answers
The p-value for a one-sided test of the population proportion is 0.0513. Which of
uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{X} is the sample mean.
  • \mu is the tested value.
  • s is the standard deviation.
  • n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease,  and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

3 0
2 years ago
HELP ASAP
almond37 [142]

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

6 0
3 years ago
The ratio of the measures of two
likoan [24]

Answer:

The smaller angle is 42 degrees

Step-by-step explanation:

I did 7+8 = 15 and then 90/15 and got 6 so 7x6 is 42. trust me this works

4 0
2 years ago
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