a^1 =5, a^n = a^n-1 (7) explicit formula

Answers

Answer 1

Answer:

[tex]a_{n}=5\times \left( 7\right)^{n-1}[/tex]

Step-by-step explanation:

[tex]a_{n}=a_{n-1}\times7[/tex]

Then the common ratio = 7

Then the explicit formula is :

[tex]a_{n}=a_{1}\times \left( 7\right)^{n-1}[/tex]

    [tex]=5\times \left( 7\right)^{n-1}[/tex]


Related Questions

Which of the following shapes are quadrilaterals?
please help asap I'll make brainliest ​

Answers

Answers: A and C

Explanation:

A quadrilateral has four sides, and each side is a straight line.

Quad = 4

Lateral = side

This means we go for choices A and C.

Choice B is ruled out because of the curved side on the right.

Choice D is ruled out because it has 5 sides instead of 4.

question is in the picture

Answers

1) we move 5 digits to the left:10^5

2) we move 4 digits to the left:10^4

3) we move 3 digits to the left:10^3

Keep in mind we are dividing by the powers of ten, if we were to be multiplying then it would have been 10^-5,10^-4 ect..

Answer:

the avswers are

1. 100,000

2. 10,000

3. 1,000

Step-by-step explanation:

divide the number by one and then keep adding zeros

Jason went shopping.
he bought a watch and a pair of trainers for a total price of £53.55
This price includes a 15% loyalty discount.
before the discount, the trainers were priced at £38.
work out the price of the watch before the discount

Answers

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

Solve for x. The triangles in each pair are similar.

Answers

Step-by-step explanation:

similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.

and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.

so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.

so, DC (50) corresponds to TS (70).

and that means that CB (60) corresponds to SR (11x - 4).

the scaling factor from BCD to RST is 70/50 = 7/5.

that means DC × 7/5 = TS.

and CB × 7/5 = SR :

60 × 7/5 = 11x - 4

12 × 7 = 11x - 4

84 = 11x - 4

88 = 11x

x = 8

What is the value of B for the following triangular prism?

Answers

It would be 48ft2. If you need help with anything just ask

Does B refer to the base of this

Help help pls pls!!!

Answers

Answer:

b

Step-by-step explanation:

eg2022

What does the slope of the function represent in this situation?

Answers

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

Slope of a function

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

The formula for expressing the slope of a function is given as;

f'(x) = f(b)-f(a)/b-a

a and b are the intervals

The slope can also be expressed as a function of its coordinate (x, y)

Slope = y2-y1/x2-x1

Learn more on slope here: https://brainly.com/question/1884491

Answer:

the increase in pressure per meter of depth and the next question is the pressure at the oceans surface

Step-by-step explanation:

edge 2022

Kendra is a professional diver. She practices between 80-100 dives before every competition. About how many dives will she practice if she has 12 competitions?

Answers

960-1,200 dives

Explanation:
If she practices 80-100 dives in 1 competition
You would times those numbers by 12 since there will be 12 competitions

Answer:

She will practice about 960-1200 dives before those competitions in total

Step-by-step explanation:

All you have to do is multiply the number of dives by the number of competitions she has.

select 3 ratios that are equvilant to 5:2

Answers

Answer:

10/4

15/6

20/8

Step-by-step explanation:

A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?

Answers

Answer:

135 ft^3

Step-by-step explanation:

Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135

Answer: 135 ft³

Step-by-step explanation:

     Volume, when dealing with a rectangular prism, is L * W * H

-> L * W can simplify to the base, as it does in the problem given to us.

V = (L * W) * H

V = B * H

V = 15 * 9

V = 135 ft³

          The rectangular prism has a volume of 135 ft³.

HELP WILL MARK BRAINLIEST EXTRA POINTS!!!

Answers

Answer:

Step-by-step explanation:

All of the angles will equal up to 180

10x-10=180

180+10 is 190

190=10x     190/10=x     x=19 or R

<Q: 19*2=38-5=33    <Q:33

<P:133-5=128    <P:128

128+33+19=180,

Double checking to fact check the asnwers.

On a spinner with two equal sections labeled 2 and 3, Josie determines that the probabilities of landing on 2 or 3 are equally likely. How would she express each probability as a decimal?
A 0.05
B 0.1
C 0.5
D 1.0
PLEASE HURRY

Answers

I think it’s number B, I’m not sure, I probably could got it wrong..u should solve it and checked

Find the volume of each composite figure please help

Answers

Volumn = LWH
small rectangle = 5 x 5 x 12 = 300 sq yds
Larger rectangle = 4 x 12 x 18 = 864 sq yds

Solve the following problems mentally and match it to its corresponding solution.
Pls Help
4t = 40

10 + t = 14

70 - t = 30

multiple answers , 40, 10 , 4

Answers

Answer:

1. t=102. t=43. t=40

Step-by-step explanation:

Isolate the term of t from one side of the equation.

1. 4t=40

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

t=10

2. 10+t=14

First, change sides.

t+10=14

Then, subtract by 10 from both sides.

t+10-10=14-10

Solve.

Subtract the numbers from left to right.

14-10=4

t=4

3. 70-t=30

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

Rewrite the problem down.

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

Solve.

Divide the numbers from left to right.

-40/-1=40

t=40

Therefore, the correct answer is t=10, t=4, and t=40.

I hope this helps! Let me know if you have any questions.

Answer:

4t =40 t= 10  4x10=40

10 + t = 14 t=4   10 + 4 = 14

70 - t =30 t= 40  70 - 40 = 30

Hope this helps!

I NEED HELP PLEASE I NEED TO KNOW HOW U GOT THE ANSWER PLEASE

Answers

Linear is basically a straight line. It can be increasing or decreasing.

Decreasing is when on the graph, when x increases, y decreases.

On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.

- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.

- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.

Your final answer is B.

The area of a piece of land is 4,951,000 square meters how is this number of square meters written in scientific notation

Answers

Answer:

its 4.951 x 106

Step-by-step explanation:

i took the tfar from k12

The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters

How to determine the area of a piece of land in scientific notation

from the question, we have the following parameters that can be used in our computation:

Area = 4,951,000 square meters

To write the area in square meters in scientific notation, we have

Area = 4.95 * 1,000,000 square meters

So, we have

Area = 4.95 * 10⁶ square meters

Hence, the area is 4.95 * 10⁶ square meters

Read more about scientific notation at

https://brainly.com/question/34659710

#SPJ3

3. A scale drawing of a park is shown.
2.5 in
1.5 in
Scale: 1 in = 15 yd
If the scale is changed from 1 inch to 10 yards, which will be the scale drawing of the park?
A.
3.75 in
2 in
2.25 in
in
3
3 in
1.875 in
2 in
1.125 in

Answers

Answer: a

Step-by-step explanation:

Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.

So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.

Find the volume of each prism. Please help mee and thank you.​

Answers

Answer:

Step-by-step explanation:

Reflect the triangle in the mirror line.

Answers

For this, you are basically flipping the shape. So the bottom-most point on the triangle will be the same on the x-axis, but will be -1 on the y-axis in its image (new form).

The top left point will stay the same in the x-axis, and will be -4 on the y-axis

Finally, the top right point will stay true same on the x-axis, but will be -4 on the y-axis in its image.

If you could mark my answer the brainliest it would be very much appreciated!

help me ive been up all night doing math​

Answers

Answer:

See below ~

Step-by-step explanation:

(a)

The point (8, 28) represents that in the time of 8 minutes, 28 cm of the horse trough has been filled.

8 minutes 28 centimeters

(b)

Finding the unit rate

No. of centimeters / min.28 cm / 8 min3.5 cm/min

Please help with this geometry work asp

Answers

Answer:

x=21

y=45

z=101

Step-by-step explanation:

Angles crossing each other are congruent

86=4x+2

84=4x

x=21

Quadrilateral has 360 degrees

86 + 86 + 2y+4 + z-7 = 360

172 + 2y+4 + z-7 = 360

2y+4=94

2y=90

y=45

z-7=94

z=101

mark brainliest please!

what ratio is equivalent to 1.5:6

Answers

Answer:

2:10:12

Step-by-step explanation:

I multiplied all of the numbers by 2

It doesn't matter what number you multiply the numbers by, as long as you multiply all 3 of them.

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?

Answers

Answer:

4×<=20

×<=5

AAAAA single Cupcake can cost at most $5.

Step-by-step explanation:

x _> 5
A cupcake needs to be $5 each for a box of 4 to cost $20. Meaning that a cupcake (x) will be $5 or less.

please help me
covert 2km to m
convert 3 decimeter to mm
covert 1km to cm​

Answers

Answer:

2,000 m

300 mm

100,000 cm

Step-by-step explanation:

Answer:

2 km converted to meters is 2000 meters

3 decimeters converted to millimeters is 300 mm

1 km converted to centimeters is 100,000 centimeters

Find the slant height of a cone of curved surface area 471.3 cm3 and base radius is 10 cm (take pi as 3.142)

Answers

Answer:

15

Step-by-step explanation:

471.3 = 3.142×10×H

H= 471.3÷31.42

H=15

Complete the square to find the
vertex of this parabola.
x² - 12y - 6x + 5 = 0
?]
-H

Answers

[tex]\bold{ANSWER:}[/tex]
(3, -1/3)

[tex]\bold{EXPLANATIONS:}[/tex]

50 PTS!!A right triangle has a leg measuring 16in. And 28in.

What is the length of the hypotenuse?

Round your answer to the nearest tenth.

1)23.0 in.
2)32.2 in.
3)44.0 in.
4)1040.0 in

Answers

Answer:

2)  32.2 in (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 16 inb = 28 inc = hypotenuse

Substituting these values into the formula and solving for c:

[tex]\implies \sf 16^2+28^2=c^2[/tex]

[tex]\implies \sf 256+784=c^2[/tex]

[tex]\implies \sf c^2=1040[/tex]

[tex]\implies \sf c=\pm\sqrt{1040}[/tex]

[tex]\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)[/tex]

As distance is positive, c = 32.2 in (nearest tenth)

32.2 inches. (Option 2)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\ [/tex]

Here,

The base (BC) is 16 in

The perpendicular (AB) is 28 in

The hypotenuse is AC.

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad AC = 32.24 }}} \\ \\[/tex]

Therefore,

The length of the hypotenuse (AC) is 32.2 in (Rounded to nearest tenth)

B
c
а
A
b
Use the diagram above and round your answer to the nearest hundredth.
If a is 6 in. and ZA = 31°, what is b?

Answers

Need more info don’t really understand what’s the diagram

This a a vector please help 30 points please brainliest

Answers

Answer:

Option #4:

[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Start With

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]

1. Pivot Element

[tex]P_{1} =a_{1,1}=5[/tex]

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]

2. Pivot Element Again

[tex]P_{2} =a_{2,2}=-1[/tex]

[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]

3.  Get x1 and x2 Values

[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]

[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]

4. Get Answer

[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Which expression is equivalent to 2x^2-10x-48in factored form?

Answers

Answer: B

Step-by-step explanation:

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