if a geometric progression G2= -10, G4= -8/5 and G5 is positive, what is the general formula for Gn?
WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.
h(x)=-16x2+64x+80
Here the positive intercept should be considered as the -1 and 5.
Calculation of the positive intercept:Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.
In this case it would be 0 feet.
So,
[tex]h(x)= -16x^2-16x+80x+80[/tex]
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5
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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.
Answer:
the decision rule is to reject H0 if Z is < -1.645
Step-by-step explanation:
this question is interested in the decision rule.
H0: u = 449
H1 : u <449
We find the test statistic
Mean bar x = 441
u = 449
Sd = 18
n = 37
Z = barX - u / sd/√n
= 441-449/18/√37
= -8/18/6.083
= -8/2.959
Z = - 2.7036
This is the value of the test statistic
The critical value at 0.05 = -1.645. this is a left tailed test
The decision rule is to reject H0 if Z < -1.645
The test statistic is less than the critical value
-2.7036 < -1.645
So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.
Water is slowly leaking from a bird bath at the rate of 8 cm3/min. The birdbath is in the shape of a cone with the vertex down and the radius is double the height. How fast is the water level changing when the water is 10 cm deep
Answer:
The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.
Step-by-step explanation:
From Geometry, the volume of the cone ([tex]V[/tex]), measured in cubic centimeters, is defined by:
[tex]V = \frac{\pi\cdot r^{2}\cdot h}{3}[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
Then, we find a formula for the rate of change of the volume of the birth bath ([tex]\dot V[/tex]), measured in cubic centimeters per minute, by means of differentiation:
[tex]\dot V = \frac{\pi}{3}\cdot \left(2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h \right)[/tex] (2)
Where:
[tex]\dot r[/tex] - Rate of change of radius, measured in centimeters per minute.
[tex]\dot h[/tex] - Rate of change of height, measured in centimeters per minute.
In addition, we have the following relationship:
[tex]r = 2\cdot h[/tex] (3)
And by Differential Calculus:
[tex]\dot r = 2\cdot \dot h[/tex] (4)
By applying (3) and (4) in (2), we find the following expanded formula:
[tex]\dot V = \frac{\pi}{3}\cdot \left[2\cdot (2\cdot h)\cdot (2\cdot \dot h)+4\cdot h^{2}\cdot \dot h\right][/tex]
[tex]\dot V = \frac{\pi}{3}\cdot (8\cdot h+4\cdot h^{2})\cdot \dot h[/tex] (5)
If [tex]\dot V = -8\,\frac{cm^{3}}{min}[/tex] and [tex]h = 10\,cm[/tex], then the rate of change of the water level is:
[tex]\dot h = \frac{\dot V}{\frac{\pi}{3}\cdot (8\cdot h + 4\cdot h^{2}) }[/tex]
[tex]\dot h = \frac{-8\,\frac{cm^{3}}{min} }{\frac{\pi}{3}\cdot [8\cdot (10\,cm)+4\cdot (10\,cm)^{2}] }[/tex]
[tex]\dot h \approx -0.016\,\frac{cm}{min}[/tex]
The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.
x2+y2=r2 Solve for y
Answer: [tex]y=\sqrt{r^{2} -x^{2} }[/tex]
Step-by-step explanation:
x^2+y^2=r^2 --> subtract x^2 to other side
y^2=r^2-x^2 --> square root both sides
y=sqrt(r^2-x^2)
Which is an example of a cash transaction?
A): a TV streaming service payment automatically debited from a checking account on the 21st of each month
B): paying for gas at the pump with a credit card
C): taking out a student loan
D): financing a new car
A random sample of 16 airline passengers at the Ontario Airport showed that the mean time spent in line to check in at the ticket counters was 18 minutes with a standard deviation of 7 minutes. Construct and interpret a 99% confidence interval for the mean time spent waiting in line by all passengers at this airport. Assume that such waiting times
Answer:
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 36 - 1 = 15
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes
The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
Write an equation in slope-intercept form for the line with slope 3/5 and y intercept -6
Answer:
y = 3/5x - 6
Step-by-step explanation:
Slope intercept Form: y = mx + b
m = slope
b = y-intercept
Slope = 3/5
Y-intercept = -6
y = 3/5x - 6
Answer:
y = 3/5 -6
Step-by-step explanation:
You have the y and constant value already
plz give brainliest
Plz Help Me
A system of two equations is shown.
2 + 2y = 6
2x - 3y = 26
What is the solution of the system?
0 (-2,3)
(1, -2)
O (-2.4)
(10.-2)
Answer:
The solution to the system of equations be:
(x, y) = (16, 2)
Step-by-step explanation:
Given the system of equations
2 + 2y = 6
2x - 3y = 26
Isolate y for 2+2y=6
2+2y=6
subtract 2 from both sides
2+2y-2 = 6-2
2y = 4
divide both sides by 2
2y/2 = 4/2
y = 2
now substitute y = 2 in 2x - 3y = 26
2x - 3y = 26
2x - 3(2) = 26
2x-6=26
add 6 to both sides
2x-6+6=26+6
2x = 32
divide both sides by 2
2x/2 = 32/2
x = 16
Therefore, the solution to the system of equations be:
(x, y) = (16, 2)
Note: It seems you may have missed adding the correct option in your answer choices.
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
HELP ME PLEASEEEEEE THANK YOU
Answer:
from shortest to longest
NR
RS
NS
Step-by-step explanation:
HOPE IT HELPS
A school has 840 pupils, if the school hall has seats 85% of the pupils, how many pupils will have no seats?
Answer:
126
Step-by-step explanation:
So theres 840 people and 85% got a seat
We just do 840 * 85% = 714
then to find the people without the seat
840 - 714 = 126
Which answer choice below represents the greatest percent change? F. To earn a position on the school’s wrestling team, Colin increased his weight from 170 pounds to 185 pounds. G. A 42” flat screen television originally priced at $630 is now on sale for $441. H. Marshall grew from 60 inches to 66 inches over the summer break. J. Derrick cut a pipe measuring 17 feet so that it now measures 11 feet.
Answer:
f
Step-by-step explanation:
6-(-2)-(-5)= find the difference
Answer:
answer = -1
Step-by-step explanation:
like to have some leftovers. I've discovered that the proper ratio of turkey to people is 12 pounds of turkey for every 8 people. If 36 people are going to be eating, how many pounds of | turkey do I need to buy?
Answer:
A
Step-by-step explanation:
Took the test
There is a need for 58.5 pounds of turkey for 36 people.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The proper ratio of turkey to people is 12 pounds of turkey for every 8 people.
Let the number of pounds would be x for 36 people
According to the given situation, we can write the ratio would be as:
12 pounds of turkey : 8 people = x pounds of turkey : 36 people
⇒ 12 / 8 = x / 36
Apply the cross-multiplication operation,
⇒ 8x = 13 × 36
Apply the multiplication operation,
⇒ 8x = 468
⇒ x = 468/8
Apply the division operation,
⇒ x = 58.5
Therefore, there is a need for 58.5 pounds of turkey for 36 people.
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GIVING BRAINLIEST! A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 396 square feet. What is the width of the walkway?
I will give you a hint on how to start:
The new width is 10 + 2x and the new length is 14 + 2x.
Given:
Width of a garden = 10 feet
Length of the garden = 14 feet
Area of the garden and the walkway together = 396 square feet.
To find:
The width of the walkway.
Solution:
A cement walkway is added around the outside of the garden.
Let x be the width of the walkway.
The width of the garden with walkway = 10+2x
The length of the garden with walkway = 14+2x
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of garden and the walkway together is
[tex]Area=(14+2x)\times (10+2x)[/tex]
[tex]396=140+28x+20x+4x^2[/tex]
[tex]396=140+48x+4x^2[/tex]
[tex]396=4(35+12x+x^2)[/tex]
Divide both sides by 4.
[tex]99=35+12x+x^2[/tex]
[tex]0=35-99+12x+x^2[/tex]
[tex]0=-64+12x+x^2[/tex]
Splitting the middle term, we get
[tex]x^2+16x-4x-64=0[/tex]
[tex]x(x+16)-4(x+16)=0[/tex]
[tex](x+16)(x-4)=0[/tex]
Using zero product property, we get
[tex](x+16)=0\text{ and }(x-4)=0[/tex]
[tex]x=-16\text{ and }x=4[/tex]
Width of walkway cannot be negative. So, x=4.
Therefore, the width of the walkways is 4 feet.
Answer:
Width = 4 feets_____________☁️☁️
Hope it helps
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amelia is wrapping ribbon around a circular present that has a diameter of 4 inches if she wants to wrap the present three complte times how long of a piece of ribbon will she need round to the nearest inch
Answer:
Response:12 inches
Step-by-step explanation:
Explanation step-by-step: 4*3=12 inches
Justin has 23 marbles to give to five of his friends he gives each friend the same number of marble keeps only the remainder how many marbles does Justin keep
Answer:
Justin only keeps 3 marbles while his friends get 4 marbles each
You have a coupon for an additional 25% off the price of any sale item at the store. The store has put a robotics kit on sale for 15% off the original price or $40. What is the price of the robotics kit after both discounts?
Answer:
The price of the robotics kit should be $34 dollars
Step-by-step explanation:
First we have to find out what 25% and 15% of 40 is.
25% of 40 = 10
15% of 40 = 6
Next we have to add 10 plus 6 then subtract 40 by it.
10 + 6 = 16
40 - 16 = 34
So, the robotics kit should cost 34 dollars after both discounts.
HELP PLEASE 20 POINTS TO GET IT RIGHT
A centerfield baseball player caught a ball right at the deepest part of center field against the wall From home plate to where the player caught the ball is 405 feet. The outfielder is trying to complete a double play by throwing the ball to first base. Using the diagram how far did the outfielder need to throw the ball (The bases are all laid out in a perfect square with each base 90 feet away from the next. Since it is a square you should be able to determine the angle created by 1-t base - home plate - 2nd base)
Answer:
hope this helps!!:)
Step-by-step explanation:
5
4
2
1
O
3
4
5
A
Which equation best represents the line? (4 points)
Oy - 3x - 1
Oy - 3x + 1
Answer:
The equation best represents the line is:
y = 3x-1Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptTaking the two points
(0, -1)(1, 2)Determining the slope between the points (0, -1) and (1, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)[/tex]
[tex]m=\frac{2-\left(-1\right)}{1-0}[/tex]
Refine
[tex]m=3[/tex]
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
As we are given the point (0, -1)
It means at x = 0, y = -1
Thus, the y-intercept b = -1
now substituting b = -1 and m = 3 in the slope-intercept form
y = mx+b
y = 3x + (-1)
y = 3x-1
Therefore, the equation best represents the line is:
y = 3x-1a rectangle has a length of 22 feet less than 6 times its width. if the area is of the rectangle is 868 square feet,find the length of the rectangle
Answer:
Length=62 feet
Step-by-step explanation:
L x W =area area= 868 L=6W-22
868=W x (6W-22)
868=6W^2-22W
reorder equation
6W^2-22W-868=0
Factor
(3W-42)(2W+20.7)=0
3W=42
W=14, then L=6(14)-22=62
Check:
62x14=868
The length of the rectangle is 62 feet.
Given,
A rectangle has a length of 22 feet less than 6 times its width.
The area of the rectangle is 868 square feet.
We need to find the length of the rectangle.
What is the area of a rectangle?It is given by:
A = Length x width
What is middle-term factorization?We have,
ax² + bx + c
a x c = p x q
The sum of p and q must be equal to b.
Find the length of the rectangle.
L = 6W - 22 ______(1)
Find the width of the rectangle.
Width = W ______(2)
Find the area of the rectangle.
A = L x W
868 square feet = L x W
From (1) and (2)
868 = (6W -22) x W
868 = 6W² - 22W
6W² - 22W - 868 = 0
Solve for W.
6W² - 22W - 868 = 0
Using middle-term factorization.
2( 3W² - 11W - 434 ) = 0
3W² - 11W - 434 = 0
3W² - ( 42 - 31 )W - 434 = 0
3W² - 42W + 31W - 434 = 0
3W ( W - 14 ) + 31 ( W - 14 ) = 0
3W + 31 = 0
3W = - 31
W = - 31 / 3 ( Can not be a negative)
W - 14 = 0
W = 14
Putting W = 14 in (1)
L = 6W - 22
L = 6 x 14 - 22
L = 84 - 22
L = 62
Thus the length of the rectangle is 62 feet.
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What is the measure of QS?
Answer:
21.9mm
Step-by-step explanation:
6.2+ 15.7 = 21.9
hope this helps....
Karen runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes?
Answer:
4.5
Step-by-step explanation:
Well, she runs 3 miles in 28 minutes.
42 = 28 ⋅ 1.5
So, her journey would just be running
1.5
times, with each time running
28
minutes.
So, she runs a total of
1.5 ⋅ 3 = 4.5 miles
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
Pls someone help!! Im failing. Plsssss
Answer:
I think it is the third one.
Step-by-step explanation:
Answer:
Step-by-step explanation:
8 + p/10 >= 3
p/10 >= -5
p >= -50
pls answer number 12
Answer:
$1.50
Step-by-step explanation:
When you add $0.29 and $1.23 you get $1.52
then you round $1.52 down to get $1.50 because $1.52 is closer to $1.50 than it it closer to $1.60
Simplify the expression.
we
8 + 3
the answer of this question is 11
Answer:
8+3=11
Step-by-step explanation:
you have to add 8+3 and get 11
Helen is pushing the handle of a push broom with a force of 190 newtons at an angle of 33 degrees with the ground. Find the magnitudes of the horizontal and vertical components rounded to the nearest tenth.
Horizontal Force __ N
Vertical Force __ N
Answer:
Horizontal=159.3
Vertical=103.5
Step-by-step explanation
I don't really know but these are the answers
The magnitude of the horizontal force is approximately 159.6 N, and the magnitude of the vertical force is approximately 103.5 N.
To find the horizontal and vertical components of the force applied by Helen, we can use trigonometric functions.
Given that Helen is pushing the handle of a push broom with a force of 190 newtons at an angle of 33 degrees with the ground, we can determine the horizontal and vertical components as follows:
Horizontal Force: To find the horizontal component, we use the cosine of the angle:
Horizontal Force = Force * cos(angle)
Horizontal Force = 190 N * cos(33°)
Calculating the value:
Horizontal Force ≈ 190 N * 0.8387
Horizontal Force ≈ 159.6 N (rounded to the nearest tenth)
Vertical Force: To find the vertical component, we use the sine of the angle:
Vertical Force = Force * sin(angle)
Vertical Force = 190 N * sin(33°)
Calculating the value:
Vertical Force ≈ 190 N * 0.5446
Vertical Force ≈ 103.5 N (rounded to the nearest tenth)
Therefore, the magnitude of the horizontal force is approximately 159.6 N (rounded to the nearest tenth), and the magnitude of the vertical force is approximately 103.5 N (rounded to the nearest tenth).
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Simplify 2 + 3/5x - 1 - 1/5x
Answer:
6
Step-by-step explanation:
6 is the answer to your question
