Find the 8th term of the geometric sequence 10, -40, 160, ..

Introduce a constant,

let it be (k)

Y=KX

-40 = K(7)

K= -5.7

Then,

Y =KX

51= -5.7(X)

X = -8.95~-9

Answer:

Closest to (1,1)

Step-by-step explanation:

As shown is picture

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, as:

[tex]\mu = 75, \sigma = 3[/tex].

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 75}{3}[/tex]

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 75}{3}[/tex]

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 75}{3}[/tex]

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84- 75}{3}[/tex]

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

B) 9/10

Step-by-step explanation:

Answer:

I have got,

x = 14

y = 12.1

Using trigonometric ratio.

Answer:

Step-by-step explanation:

Area of triangle is given by the formula:

1/2*a*b*sinC

= 1/2*433*520*sin(37degrees)

= 67752 sq ft

Answer:

Step-by-step explanation:

applying sine rule for area of triangle

Area = 1/2absin(c)

= 1/2x433x520xsin(37)

= 67752ft^2

Answer:

C

Step-by-step explanation:

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

Answer:

you have 2 options!!!

Step-by-step explanation:

hoped I helped!

Answer:

Step-by-step explanation:

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

Answer:

on a graph will (-5, -7) be found Quadrant III.

Answer:

slope = 1/3 , y-int = -5

Step-by-step explanation:

y = mx + b

hope this helps!

Answer:

Parenthesis is answered first

Step-by-step explanation

Using the pemdas strategy the "p" stands for parenthesis therefore it would be (9-4)

The answer to the problem is 11

Answer:

v=l*b*h

=8cm*3cm*13cm

=312cm

Answer:

2^r=x

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

Answer:

A. -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Common difference of an arithmetic sequence=t2-t1

=39-45

=-6

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.

Answer: 5:10 A.M.

Step-by-step explanation:

First find the total time that Isabelle spent playing volleyball and hiking.

= 2 hours and 10 minutes + 1 hour and 55 minutes

= 4 hours and 5 minutes

If she finished both activities at 11:15 am, the time she started was:

= 11:15 - 4 hours 5 minutes

= 5:10 A.M.

Answer:

[tex]y = 7 \\ x = 4 \\ r = \sqrt{33} \\ \cot(t) = \frac{4}{7} \\ \sin(t ) = - \frac{7}{ \sqrt{33} } \\ \cos(t) = - \frac{4}{ \sqrt{33} } [/tex]

Answer:

Option 1.) y = 125°

Step-by-step explanation:

We know that sum of exterior angles of any polygon is 360°. Therefore we can say;

70° + 60° + 65° + 40° + y° = 360°

235° + y° = 360°

y = 360 - 235

y = 125°

Therefore the measure of ∠y = 125°

Hope this helps!

Answer:

Step-by-step explanation:

The sampling method employed in the given example is convenience sampling.

Convenience sampling is a non-probability sampling technique where the sample is selected based on its accessibility and convenience. In this case, the post office manager selected three delivery people from the total of 11 available. This selection was based on convenience, as they were already working for the post office.

The population in this scenario consists of all the customers the post office manager works with. Let's denote this population as N.

The post office manager used convenience sampling to select a subset of the population to participate in the study. The size of the sample is not explicitly mentioned, but we can assume it is the total number of customers on the three selected delivery routes. Let's denote the sample size as n.

Since convenience sampling does not involve random selection, the sample selected may not be representative of the entire population. The customers on the selected delivery routes may not be a fair representation of all the post office customers. This introduces a potential sampling bias.

It's important to note that convenience sampling can be quick and easy to implement but may not provide reliable or generalizable results. In this case, the post office manager may obtain information about customer satisfaction from a limited group, potentially leading to skewed or unrepresentative findings. For a more accurate and representative study, a different sampling method, such as random sampling or stratified sampling, could be employed.

To know more about Convenience Sampling here

https://brainly.com/question/18860432

#SPJ2

Answer: C.  3x^2y^

Step-by-step explanation:

gcf is 3 between 12 and 21

an then add the ecponets on it

Answer:

parallelograms

Step-by-step explanation: