Which term describes a function in which the y-values form a geometric sequence? A. Exponential function B. Linear function C. Linear increase D. Exponential growth

Answers

Answer 1

The answer for the exercise shown above is the first option, the option A, which is shown below: A. Exponential function.
In a geometric sequence, the ratio of any two consecutive numbers that form the sequence is equal. In other words, they have common ratio.

Related Questions

how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?

Answers

So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43

GEOMETRY HELP 70 POINTS FAST!!!!!!!

FIND SURFACE AREA. IT’S OKAY IF YOU DID ONE BUT I WOULD PREFER IF YOU DID BOTH THANKS

Answers

8) Surface area: PI x 9 x (9 + 20.1) = 822.78 mi^2

9) Surface area = PI x 3 x (3+8.5) = 108.38 yd^2

9)D
Because you already have your radius but you need to find your hight. You use a triangle and do a^2+b^2=c^2 and that gives you 9.75. Then plug those two numbers into the surface area of a cone equation.
8)C
Because you need to find something the radius by dividing 18 by 2 which gives you 9. Then you need to find the hight which you make a triangle and do a^2+b^2=c^2 and that gives you 19.98. And plug those numbers into the surface area of a cone formula

what is the inch equivalent of 32.5 mm to the nearest 0.0001

Answers

3.25 mm = 3.25 cm, 30 cm = 12 inches. So, 12/30 x 3.25 = 1.3

25.4 mm = 1 inch

32.5 mm * 1 inch / 25.4 mm = 1.2795275591 inches
or to the nearest .0001 inch,
1.2795 inches

The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment

Answers

Part 1:
a. Number of people in the seventh row will be as follows:

d=2
a1=1
n=7
thus the number of people in the 7th row will be obtained using the explicit formula:
an=a1+(n-1)d
a7=1+(7-1)2
a1=1+12
a1=13

b. Total number of people in 7 rows will be calculated using the formula:
sn=n/2(a1+an)
plugging in the values:

s7=7/2(1+13)
s7=7/2(14)
s7=49

c. Total number of people required to make 10 rows will be:
n=10
a1=1

a10=1+(10-1)2
a10=1+18
a10=19
thus
s10=10/2(1+19)
s10=100
It will take 100 children

d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula:
an=a+(n-1)d
d=4
a1=1
an=37
plugging in the values we get:
37=1+(n-1)4
solving for n:
36=4n-4
40=4n
n=10
thus the number of rows would be 10

e. Total number of people will be:
d=4
n=10
a1=1
Sn=n/2(a1+an)
Sn=10/2(1+37)
Sn=190

PART 2: Geometric sequence and series
The video does not function.

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10.

Answers

You need to use the Pythagorean theorem.
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse is "c" and each leg is either "a" or "b".
[tex] {10}^{2} + { x}^{2} = {17}^{2} [/tex]
[tex]100 + {x}^{2} = 289 \\ {x}^{2} = 189 \\ x = 13.7477270849[/tex]

A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.

Which estimate best approximates the number of chairs that can be set up on the floor space?

A. 20

B. 60

C. 260

D. 320

Answers

It is B because 40x32=1280 and 5x4=20 then divide 1280 by 20 and you get 64 but you can’t have 64 so you would need to only have 60 so the answer is B

Answer:

Step-by-step explanation:

Just confirming for the K12 students ;)

Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?

She chose the incorrect relation and should have solved 5x<30

She modeled “average” incorrectly and should have solved x/5<_30

She chose the incorrect relation and should have solved 5x_>30

She modeled “average” incorrectly and should have solved x+5<_30

Answers

The correct answer would be letter C. She needs to either break or tie the record. The less than or equal to symbol in the original inequality would be her scoring less or tying the record. Using the greater than or equal to sign would represent her breaking the record or tying with it. Hope this helped.

Final answer:

Maya made an error in her chosen inequality by focusing on a minimum rather than the goal of breaking or tying the record. Assuming the record is 30, she should have used the inequality 5x >= 30, where x is the average number of home runs needed per week.

Explanation:

It appears that Maya has made an error when she chose the inequality to model the situation. Since Maya is trying to break or tie the league record for home runs, she should be considering how many home runs she needs to hit in order to exceed or equal the current record, rather than considering a minimum. Her inequality should reflect the desired goal. If the league record is 30 home runs, for example, and there are 5 weeks left in the season, Maya might want to know how many home runs she must hit on average each week to break the record. Therefore, she should have solved the inequality 5x >= 30, where x represents the number of home runs she needs to hit on average each week.

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Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?

Answers

The answer is 15:27 then simplify it to 5:9
hope it helps! <3

Answer:

5:9

Step-by-step explanation:

Marie is buying an ice-cream sundae. There are 3 sizes of sundaes, 15 different ice-cream flavors, and 5 different toppings. How many ways can Marie choose a sundae?

Answers

225 different ways, because 3 x 15 x 5 = 225.

Since each size of sundae has 15 flavor choices, we can find the number of combinations by multiplying the size of sundaes with the different ice cream flavors. The same rule can be applied to the number of different toppings, so you can set up this equation:
[tex]3 \times 15 \times 5 = 225[/tex]
Multiplying them out, you can see that there are 225 different combinations of sundaes

Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.

Answers

1 bolt = $0.13

Number of bolts she can buy = $4.55 ÷ $0.13 = 35

Answer: 35

Hey there!

One bolt = $0.13
Hence, divide 4.55 by 0.13

[tex]4.55 \div 0.13 = 35[/tex]

Answer : Heidi can buy 35 bolts.

Hope this helps. - M

The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 find a 99% confidence interval for the population standard deviation σ.

Answers

Final answer:

To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.

Explanation:

This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.

Let's denote:

n as number of observations: n=10s as sample standard deviationχ²(α/2,n-1) as the χ² value for α/2 (± z-score for standard normal distribution) with n-1 degrees of freedom

99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.

Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.

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At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each day. Which is the best prediction for the bacteria population after 7 years?

A.51,750
B.40,479
C.2682
D.1837

Answers

The problem is stated incorrectly. It should be 7 DAYS and NOT years.

ending amount = beginning amount * (1.8)^days
7 years = 2,555 days
ending amount = 30 * 1.8^7
ending amount = 30 * 61.2220032
ending amount = 1836.660096 or 1,837 (rounded)
answer is D.

If y varies directly as x and y=12 when x=72, find x when y=9

Answers

You can do 12/72 = 9/x. You cross multiply and it becomes 12x = 648. Divide 648 by 12, and x equals 54.

9 x 72 = 648

648 ÷ 12 = 54

x = 54

Hope this helps :)

The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will a customer pay for a double dip ice cream cone?

Answers

Double dip ice-cream cone = 25 + 2(75) = 175 cents = $1.75

Answer: $1.75

Solution:
He wants technically 2 scoops of ice cream which is 0.75 + 0.75 = $1.50
He only wants 1 cone so thats $0.25

Final Total:
1.50 + 0.25 = $1.75

He will pay $1.75 for a Double Dip Ice Cream Cone!

A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.

Answers

We need to calculate the area of the cone to know how much paper is needed.
To calculate the cone area we need to know the radius.
We do not have the radio, but we have the volume.
So:
r = √(3×V) / h
r = 4,431cm
Now we calculate the generatrix g.
If we make a lateral projection of the cone, we have a triangle whose height is h = 9cm. The base is the radius r = 4,431cm and the hypotenuse is the generatrix g.
So:
g = √(r ²+ h²)
g = 10.03cm
Finally the area of a cone is given by the formula:
A = pi × r ×(g + r)
A = 201.30 cm²

what is the image of point (3,4) for mapping (x.y) , (x+4, y+6)

Answers

That would be (3 + 4, 4 + 6) = (7, 10) Answer

Susan and betsy bought sport supplies for summer camp. susan bought six basketballs and one soccer ball for $27. betsy bought four basketballs and two soccer balls for $22. how much do basketballs cost? how much do soccer balls cost?

Answers

For this case, the first thing we must do is define variables:
x: cost of each basketball
y: cost of each soccer ball
We now write the system of equations:
6x + y = 27
4x + 2y = 22
Solving the system we have:
x = 4 $
y = 3 $
Answer:
basketballs cost $ 4
soccer balls cost $ 3

Which choice is similar to the figure shown?

Answers

b.

Take 45/30, you get 1.5. 1.5 x 20 = 30.

Hope I helped!

What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b.x > −1411 c. x < −1411 d.x < 7

Answers

Answer: option d. x < 7

Explanation:

1) given: 12x – 3x + 11 > 4x – (17 – 9x)

2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x

3) combine like terms on each side: 9x + 11 > 13x - 17

4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17

5) combine like terms: 28 > 4x

6) divide both sides by 4: 7 > x

That is x < 7 which is the option d.

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW = YZ
a.

No; you cannot determine that the quadrilateral is a parallelogram.

b.

Yes; two opposite sides are both parallel and congruent.

c.

Yes; opposite sides are congruent.

d.

Yes; diagonals of a parallelogram bisect each other.

Answers

The best answer is Letter C - Yes, opposite sides are congruent.

If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.

From the information provided a. No; you cannot determine that the quadrilateral is a parallelogram.

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and congruent to each other. The diagonals of a parallelogram bisect each other.

Given XY = WZ and XW = YZ, this means that the opposite sides are congruent.

Just from the information provides, we cannot determine that the quadrilateral is a parallelogram.

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The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Let x = price of shoes
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67

Final answer:

To find the price of the jacket, set up a system of equations with the given information and solve for the jacket's price. The final calculated price of the jacket is $46.67.

Explanation:

The total cost of a jacket and a pair of shoes was $99.15. The price of the jacket was $5.81 less than the pair of shoes. Let's denote the price of the jacket as j and the price of the shoes as s. The problem gives us the following system of equations:

1) j + s = $99.15

2) s = j + $5.81

By substituting equation 2 in equation 1, we get:

3) j + (j + $5.81) = $99.15

Simplify and solve for j:

4) 2j + $5.81 = $99.15

5) 2j = $93.34

6) j = $46.67

Therefore, the price of the jacket is $46.67, which is the answer rounded to two decimal places as the student requested.

15 POINTS
What is the equation of the following graph in vertex form?

(parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity)

y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8

Answers

the vertex is at x = -3 so there will be (x + 3)^2 in the answer.
And y coordinate of vertex is -1 so the answer is B.

Answer with explanation:

→The given curve is Quadratic,having two real roots,as it cuts X axis at two distinct points that is at ,-2 and -4.

→Graph is symmetrical about line , x=-3.

→This curve is a Parabola,opening in upward direction ,that is having Y axis as Axis of Symmetry.

→Parabola is defined as locus of all the points such that distance from fixed point called focus, to distance from fixed line called Directrix ,is always Constant.

→Point which divides PARABOLA in two symmetrical parts is called Vertex having coordinates (-3,-1).

Equation of parabola having vertex ,(-3,-1) and opening in Upward Direction,that is in vertical direction, is given by:

General Equation: Equation of parabola passing through point (a,b) and opening in upward direction and having focus (k,h) is

y-b=4 k× (x-a)²

So, the equation of parabola will be

→y-(-1)=4 k[x-(-3)]²

→y+1==4 k(x+3)²-----(1)

This parabola also passes through (-4,0) and (-2,0).

→0+1=4 k×(-4+3)²

→1=4 k×(-1)²

[tex]1=4 k\\\\k=\frac{1}{4}[/tex]

If you will substitute , x=-2 and y=0 in equation 1,you will get same value of k.

Equation of Parabola ,that is equation 1,can be written as

[tex]y+1=4\times\frac{1}{4}(x+3)^2\\\\y+1=(x+3)^2\\\\ y=(x+3)^2-1[/tex]

Option B: y=(x+3)²-1

if a train travels 25 miles in 2 hours and 15 minutes, what is it's average speed in miles per hour?
• 10 mph
• 11.1 mph
• 12.5 mph
• 9.1 mph

Answers

2 hours 15 mins = 2 1/4 hours

2 1/4 hours = 25 miles

1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles

Answer: 11.1 mph

Which equation can be used to find the volume of this solid?(Please see attached picture)

V=3*5*4
V-3+5+4
V=5*4
V=3*5

Answers

To find the volume of a cube, you have to do length x width x height. So it would be 3 x 5 x 4

V = 3*4*5
Hope that helps

what percentage does the third quartile represent?

Answers

Since the data is split, the third quartile would represent 25% of the total data, but the top 75%. It depends what the problem is asking.

The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it on a box and whisker plot! Hope this helps!

N a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. what is the mean?

Answers

The mean would be 70

How many dimes in 1898.59

Answers

all you do is divide by 10

there are 189 whole dimes

There are 18,985 dimes in $1,898.59.

Since there are 10 dimes per dollar, you'd multiply $1,898 by 10, to get your final answer (18,985 dimes).

I hope this helps!

The frequency of A4 is 440.00 Hz. What is the frequency of A6, which is two octaves above A4?
A) 110.00 Hz
B) 220.00 Hz
C) 880.00 Hz
D) 1760.00 Hz

Answers

The correct answer is: 1760.00 Hz

Explanation:
The formula to find the unknown frequency is:
(2^n)*f

Where n = Number of octaves above to the known frequency (A4) = 2
f = Known frequency (of A4) = 440 Hz

Hence
(2^2)*(440)
1760 Hz (of A6)

How many turning points are in the graph of the polynomial function?

2 turning points
3 turning points
4 turning points
5 turning points

Answers

A point of inflection is that point where the function changes sign.
We then have to look for the slope changes in the given function,
We have inflection points in:
4 points of the given graph.
Answer:
4 turning points

Answer: four turning points.

Explanation:

The turning points are those points where the graph changes direction, i.e. where the function changes from growing to decreasing or from decreasing to growing.

That is the typical behavior of polinomial and it is related with the degree of the polynomial.

In this case, since you have the graph you can directly telling the turning points. Those are near x = - 2, x = -1, x = 1 and x = 2, i.e. four turning points.

Those turning points correspond to local maxima (if the function changes from growing to decreasing) or local minima (if the function changes from decreasing to growing).

A computer salesperson's monthly income depends on the amount of his sales. his monthly income is a salary of $1575 plus 9% of his monthly sales. write a linear equation for his monthly income for sales of x dollars. ( i=mx+b ).

Answers

Fixed salary = $1575

Commission = 9% = 0.09

Monthly Sales = x

Monthly income = 1575 + 0.9x

Answer: Monthly income = 1575 + 0.9x

The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

given that,

A computer salesperson's monthly income depends on the amount of his sales.

his monthly income is a salary of $1575 plus 9% of his monthly sales.

Fixed salary = $1575

Commission = 9% = 0.09

Monthly Sales = x

Monthly income = 1575 + 0.9x

Answer: Monthly income = 1575 + 0.9x

Hence, The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.

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Eye-movement desensitization reprocessing is primarily used for treatment of ________. question 6 options: Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women. please make a table with each paet labeled which of these groups established schools for former slaves during reconstruction What are some health-promoting behaviors recommended to reduce stress? 2. are stress and stress related conditions a common complaint among adults? The federal government often spends more money than it takes in each year. it then borrows money to make up the difference. what is this called During the colonial era, a major effect of the Appalachian Mountains on settlement was that the mountain range Some cancer treatments have a side effect of killing white blood cells. which best describes a person undergoing this treatment? apex Which parts of these excerpts show that slaves had no legal rights and were often betrayed by their masters? Select one in the first excerpt and two in the second excerpt. The Narrative of the Life of Frederick Douglass, an American Slave by Frederick Douglass (excerpt) Not a slave was left free. All remained slaves, from the youngest to the oldest. If any one thing in my experience, more than another, served to deepen my conviction of the infernal character of slavery, and to fill me with unutterable loathing of slaveholders, it was their base ingratitude to my poor old grandmother. She had served my old master faithfully from youth to old age. She was nevertheless a slavea slave for lifea slave in the hands of strangers; and in their hands she saw her children, her grandchildren, and her great-grandchildren, divided like so many sheep, without being gratified with the small privilege of a single word as to their or her own destiny. Incidents in the Life of a Slave Girl by Harriet Ann Jacobs (excerpt) He was a bright, handsome lad, nearly white; for he inherited the complexion my grandmother had derived from Anglo-Saxon ancestors. Though only ten years old, seven hundred and twenty dollars were paid for him. His sale was a terrible blow to my grandmother; but she was naturally hopeful, and she went to work with renewed energy, trusting in time to be able to purchase some of her children. She had laid up three hundred dollars, which her mistress one day begged as a loan, promising to pay her soon. The reader probably knows that no promise or writing given to a slave is legally binding; for, according to Southern laws, a slave, being property, can hold no property. While my grandmother was thus helping to support me from her hard earnings, the three hundred dollars she had lent her mistress were never repaid. NextReset what was the name of the area to hold at Shiloh A jar contains 8 large red marbles, 5 small red marbles, 7 large blue marbles, and 4 small blue marbles. if a marble is chosen at random, which of the conditional probabilities is larger, p(red|large) or p(large|red)? Please I need help with this question Which compound inequality can be used to solve the inequality |3x+2|>7 If events A and B are mutually exclusive, find P(A/B)A. P(A)B. 1C. 0D. P(A)/P(B) Instead of starting with a blank PowerPoint presentation, you can use a __________. slide spreadsheet template transition What would happen in a premature infant if insufficient surfactant were available? mastering easynote? To what potential should you charge a 3.0 f capacitor to store 1.0 j of energy? COMPLETING THE SQUARE2x^2 -4x+3=92. QUADRATIC FORMULA2x^2+4x=0 if 3x+2y=12 and -4x+6y=24 what is the value of -x+2y What were the key battles of the Korean War? During the _____ stage of the problem solving process, you select a course of action.a. implementationb. intelligencec. choiced. design