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3 years ago

Geometry help needed!!

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

Angle 2 and 4 are vertical angles(opposite) thus they are congruent... set
9x+4=14+8x
9x-8x=14-4
X=10
Now substitute x back into angle 4 and solve

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Your new phew is standing on his deck which is 4 feet off the ground. He tosses his toy up into the air. The equation h(t) = -2t

Tpy6a [65]

Answer:

The height of the toy is 9 feet after 1 second

Step-by-step explanation:

we have

$h(t)=-2t^2+7t+4$

where

h(t) is the toys height from the ground

t is the time in seconds

For t=1 sec

substitute the value of t in the quadratic equation and solve for h(t)

$h(1)=-2(1)^2+7(1)+4$

$h(1)=9\ ft$

3 0

3 years ago

FH and IK are parallel lines.<br><br> Which angles are vertical angles?

NARA [144]

Answer:

LJ and GE

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

6 0

2 years ago

A bacteria has a doubling period of 5 days. If there are 2350 bacteria present now, how many will there be in 22 days?

topjm [15]

First abswer is 51700
Sexond answer is 10340

6 0

3 years ago

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

mihalych1998 [28]

Answer:

5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...

x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

x^4(x^2 -25) + 199(x^2 -25) = 0

(x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

x^2 = 25

x = ±5

The duration required for capacity to reach 4975 units is 5 months.

7 0

3 years ago