Isaak is writing an explicit formula to represent the sequence.

64, 112, 196, 343, ...

What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

0.75
1.75
58
279

Answers

Answer 1

Answer:

a(n) = 64*(7/4)^(n - 1)

Step-by-step explanation:

Dividing 112 by 64 results in the common ratio 7/4.

Dividing 196 by 112 also results in the ratio 7/4.

So we can safely assume that the common ratio here is 7/4.

The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)

Answer 2

Answer:

1.75

Step-by-step explanation:

1.75 is the value


Related Questions

Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?

Quadrilateral CDEF is inscribed in circle A.

Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality

Answers

Answer:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

Inscribed angles;  substitution property of equality

Which method can be used to determine the correct option to complete the statement?

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So  [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary

The correct option is therefore;

inscribed angles;  substitution property of equality

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

Learn more about inscribed geometric figures of a circle here:

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0.3 repeating as a fraction

Answers

Answer:

3/10 or three-tenths

Step-by-step explanation:

Hope this helps=D

Answer:

O.3 = 1/3

Step-by-step explanation:

divide 1÷3

you will get 0.3 to infinity

Seventeen more than the product of a number and -3 is less than -29 plz answer

Answers

Answer:

-3x + 17 < -29

Step-by-step explanation:

Need help pls have no idea how to this

Answers

Answer:

The local minimum point of f(x) is at the point (-2,-2)

Step-by-step explanation:

the minimum point is located on the very bottom of the parabola!

so its cut off but its (-2,-2)

sorry I didnt see the 6,-2

so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2

pls mark me brainliest

A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?

Answers

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

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Sara is a drummer in her school’s marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylinder model with a scale of 1:4, Sara measures the radius and height of a snare drum and multiples each dimensions by 1/2, which statement is true?

A. a cylinder with Sara’s dimensions will be geometrically similar, and scale factor will be 1:4
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
C. a cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8
D. a cylinder with sara’s dimensions will not be geometrically similar

Answers

The ratio 1:4 would be the same as if it was written as 1/4.

Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2

The answer is:

B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2

The answer is B ............

A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?

Answers

Answer:

Step-by-step explanation:

d = diameter = 12ft

r = d/2 = 12/2 = 6ft

Slant height = 13ft

Surface area of cone = π r 2 + π L r

Where L is the slant height of the cone π = 22/7

SA = 22/7×6×6+22/7×13×6

SA = 113.14+245.142

SA = 358.28ft^2

If one bundle of shingle covers 32 ft.²

Hence,358.28ft^2  = 358.28ft^2/32 ft.²

= 11.196

= 11.2 bundles

factor the binomials using gcf 16p + 4

Answers

the gcf is 4. 4(4p+1)
Idkkkkkkkkkkkkkkkkkkkkk

What is a intersection

Answers

Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

What does Keaton spend the most money on?
Keaton's Monthly Spending
What does Keaton spend the least money on?
Food
Keaton spends about as much money on rent as he
does on
Rent
Clothes
Hygiene Products
Entertainment

Answers

Answer:FOOD, HYGIENE, ENTERTAINMENT

Step-by-step explanation:

The answer is:

foodHygiene ProductsEntertainment

What is Data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

According to the given information

a)Keaton spend the most money on Food.

b) Keaton spend the least money on Hygiene Products.

c) Keaton spends about as much money on rent as he does on Entertainment.

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A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction

Answers

Answer:

The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

Step-by-step explanation:

The two-point form for the equation of straight line is:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]

Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

The correct option is (D).

Answer:

D

Step-by-step explanation:

PLSSS HELP WLL GIVE BRAINLIEST!

Answers

Answer:

The order from top is

8 - 3

1 - 35

3 - 50

7 - 3/5

Step-by-step explanation:

slove the x in the digram below explain

Answers

Answer:

x= 20

Step-by-step explanation:

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

happy to help:)

What are our “cheat words” for finding slope?

Answers

mx+b=y ? that’s a formula

Answer: y-intercept

Step-by-step explanation:

At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?

Answers

Answer:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos.  50% of 40% order chicken tacos.  50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas.  30% of 60% order chicken fajitas.  30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

Find the area of this circle. Use 3.14 for piπ.

Answers

Answer:

A =452.16 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = 3.14 (12)^2

A =452.16 ft^2

Answer:

452.16ft^2

Step-by-step explanation:

So to answer this You need to use the formula A=πR^2

Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2

1. The cost to rent a movie is $3 for 1 day,
$4 for 2 days, and $5 for 3 days. Describe
the relationship between the cost and the
number of days.

2. Kenji plants 8 seeds in 1 row of his garden,
16 seeds in 2 rows, and 24 seeds in 3 rows.
Describe the relationship between the
number of rows and the number of seeds.

Answers

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Which steps would be used to solve this equation?

StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.

Answers

Answer:

Multiply by 3 on both sides of the equation.

2.78 × 3 = 8.34, so t = 8.34.

Substitute 8.34 for t to check the solution.

Step-by-step explanation:

To solve the equation  [tex]\frac{t}{3}[/tex]= 2.78

we will use the steps below to solve this equation;

First, multiply by 3 on both-side of the equation. That is;

[tex]\frac{t}{3}[/tex] ×  3= 2.78 × 3

On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34

t = 8.34

we can further substitute 8.34 for t to check the correctness of the solution

that is;

[tex]\frac{8.34}{3}[/tex] =  2.78

Answer:

1,4,5

is the answer your welcome

PLSSS HELP!! WILL GIVE BRAINLIEST!

Answers

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

y =  [tex]2 \frac{11}{12}[/tex] gallons

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?

Answers

Answer:

2500 cups

Step-by-step explanation:

Let c = total cups

c*30% = green cups

c*.30 = 750

Divide each side by .30

.30c/.30 = 750/.30

c =2500

At Your Town Bike Shop, handle bar streamers are sold in packs of two and beads for spokes are sold in sets of 10. Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. If Nana wants to buy 3 packs of streamers and 6 sets of beads, how much will her bill be before tax?

Answers

Answer: her bill be before tax is $49.2

Step-by-step explanation:

Let x represent the cost of 1 pack of handle bar streamers.

Let y represent the cost of 1 set of beads for spokes.

Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that

2x + 3y = 27.85- - - - - - - - - 1

Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that

x + 4y = 26.3

x = 26.3 - 4y - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

2(26.3 - 4y) + 3y = 27.85

52.6 - 8y + 3y = 27.85

- 8y + 3y = 27.85 - 52.6

- 5y = - 24.75

y = - 24.75/-5

y = 4.95

x = 26.3 - 4y = 26.3 - 4(4.95)

x = 26.3 - 19.8

x = 6.5

If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be

(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7

= $49.2

Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?

Answers

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B

Answers

To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.

cos(a) = 3/8

a = cos^-1(3/8)

a = 67.98 degrees

Hope this helps! :)

Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour

Answers

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.

Answers

Answer: It is not a perfect rectangle

Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile

Answer:

Step 4: What is the factored form of this trinomial?

✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )

✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )

✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )

Needs answered ASAP
What is the volume of the triangular prism below?

Answers

Answer:

172.5 inches cubed

Step-by-step explanation:

Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?

Answers

Answer:

the answer is -6 and -3

Step-by-step explanation:

Answer:

-3 and -6.

Step-by-step explanation:

ac = 1 *18 = 18

b = -9

The 2 numbers required are  -3 and -6.

The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?

Answers

Answer:

254.34 m^2

Step-by-step explanation:

To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.

We know that the area would be determined by:

A = pi * r ^ 2

the radius is half the diameter:

r = d / 2 = 18/2

r = 9

the radius equals 9 feet, replacing:

A = 3.14 * 9 ^ 2

A = 254.34

Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg
rolls, or French fries. He uses a computer program to randomly select three dishes for Monday's lunch.
What is the theoretical probability that applesauce and broccoli will both be offered on Monday?
10%
20%
50%
80%

Answers

Answer:

B: 20%

Step-by-step explanation:

The theoretical probability that the applesauce and broccoli dishes will both be offered on Monday is given by P ( A ) = 20 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the theoretical probability that the applesauce and broccoli will both be offered on Monday be P ( A )

Now , the equation is

The total number of dishes = 6 dishes

The combination of selecting 3 dishes out of 6 is given by

⁶C₃ = 20 ways

Now , the combination of selecting 2 dishes on Monday = 4 ways

So , P ( A ) = 4 / 20

P ( A ) = 1/5 = 0.20

Therefore , the applesauce and broccoli will both be offered on Monday is given by 20 %

Hence , the probability is 20 %

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select two values of x that are roots of this equation (picture included)

x^2+2x-5=0

Answers

Answer:

B and D

Step-by-step explanation:

i took this test

The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The quadratic equation is given below.

x² + 2x - 5 = 0

The solution of the quadratic equation will be

x² + 2x - 5 = 0

Add 1 on both sides, then the equation will be

x² + 2x + 1 - 5 = 1

x² + 2x + 1 = 1 + 5

(x + 1)² = 6

Taking square root on both sides, then the equation will be

x + 1 = ±√6

    x = - 1 ±√6

Then the roots of the equation will be - 1 - √6 and - 1 + √6.

Then the correct options are B and D.

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