Choose the correct answer from the given four options:The 21st term of the AP whose first two terms are –3 and 4 is

17

-137

137

127​

Answers

Answer 1

Answer:

137

Step-by-step explanation:

given AP

t1 = -3 and t2 = 4

using,

d=t1-t2

=4-(-3)

=7

And,

tn=a+(n-1)d

t21=(-3)+(21-1)(7)

t21=137

Answer 2

Answer:

B) -137

Step-by-step explanation:

a=a1=−3,a2=4

∴d=a2−a1=4−(−3)=4+3=7


Related Questions

I NEED HELP WITH THIS ONE TOO !!

Answers

Answer:

40°

100 + 80 = 180

60 + 80 = 140

140+ 40 = 180

Step-by-step explanation:

Answer:

m<C+m<D=100 degrees   m<D=40 degrees

Step-by-step explanation:

Evaluate the function. f(x)=−x^2 −6x+12 Find f(4)

Answers

1. How to find f(4)?

I explained how to find f(5) in your previous question. It is exactly the same. We substitute x = 4 in the equation.

2. Substitution and Evaluate

[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]

Follow BODMAS/PEMDAS rules as well! Exponent first.

[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]

3. Final Answer

f(4) = -28.

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
{–12, 2}
{–2, 12}

Answers

Answer:

(-12,2)

Step-by-step explanation:

x^2 + 10x = 24

x^2 + 10x + (10/2)^2 = 24 + (10/2)^2

10/2 = 5

5^2 = 25

x^2 + 10x + 25 = 24 + 25

x^2 + 10x + 25 = 49

(x + 5)^2 = 49                 Take the square root of both sides

(x + 5) = sqrt(49)

x + 5 = +/- 7

x = +/- 7 - 5

x = +7 - 5 = 2

x = -7 - 5 = -12

Answer:

{ -12 , 2}

Step-by-step explanation:

x² + 10x = 24

In order to complete the square, the equation must first be in the form x² + bx =c.

x² + 10x = 24

Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

x² + 10x + 5² = 24 + 5²

expand exponents.

x² + 10x + 25 = 24 + 25

Add 24 and 25

x² + 10x + 25 = 49

Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².

( x + 5 )² =49

Take the square root of both sides of the equation.

[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]

simplify

x + 5 = 7x + 5 = +/- 7

Subtract 5 from both sides.

x + 5 - 5 = 7 - 5

x = 2

x + 5 - 5 = +/- 7 -5

x = -7 - 5 = -12

If AABC~ DEF and the scale factor from ABC to DEF is , what are the lengths of DE, EF, and DF, respectively?​

Answers

Step-by-step explanation:

we don't see a picture, and you don't not give us any detailed information (all specific numbers like the scale factor are missing in your text). so, it is impossible to calculate anything.

but you can do it yourself very easily.

let's call the same factor "f".

that means you have to multiply the side lengths of every side of ABC by that factor f to get the cushions side lengths is the sides in DEF.

that's it.

that's all that has to be done.

so, assuming that A -> D, B -> E, C -> F

then

AB × f = DE

BC × f = EF

CA × f = FD

as I said - that's it. just use the actual numbers and multiply.

All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC and DEF are similar.

And, the scale factor from ABC to DEF is 2.

Now, We get;

This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.

Based on the above, you can set up the following equations;

⇒ DE = 2AB

⇒ EF = 2BC

⇒ DF = 2CA

Finally, substituting the corresponding lengths of the triangle ABC into the equations, and then evaluating, you get the following result:

⇒ DE = 2 x 2 = 4

⇒ EF = 2 x 4 = 8

⇒ DF = 2 x 6 = 12

Thus, All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?

Answers

Answer:

Orange juice

Step-by-step explanation:

The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.

We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.

Flying against the wind, a jet travels miles in hours. Flying with the wind, the same jet travels miles in hours. What is the rate of the jet in still air and what is the rate of the wind

Answers

Answer:

Velocity in still air: 760 mi/ hr

Velocity against the wind: 210 mi/ hr

Step-by-step explanation:

Given

See attachment for complete question

Required

The rate in still air

The rate of the wind

From the question, the velocity (v) against the wind is:

[tex]v =\frac{distance}{time}[/tex]

[tex]v =\frac{3040}{4}[/tex]

[tex]v_1 =760mi/hr[/tex]

The velocity with the wind is:

[tex]v_2 = \frac{8260}{7}[/tex]

[tex]v_2 = 1180mi/hr[/tex]

Let:

[tex]x \to[/tex] velocity in still air

[tex]y \to[/tex] velocity of the wind

So, we have:

[tex]x - y = 760[/tex]

[tex]x + y = 1180[/tex]

Add both equations

[tex]x + x -y + y = 760 + 1180[/tex]

[tex]2x = 1940[/tex]

Divide by 2

[tex]x = 970[/tex]

Substitute [tex]x = 970[/tex] in [tex]x - y = 760[/tex]

[tex]970 - y= 760[/tex]

Make y the subject

[tex]y = 970 - 760[/tex]

[tex]y = 210[/tex]

A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. How long does the object take to reach the ground? (g = 10 ms-1 )​

Answers

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

What is the square root of -1

Answers

Answer:

i.

Step-by-step explanation:

.

Answer:

[tex]\sqrt{-1}=i[/tex]

The square root of -1 (i)

---------------------------------

~HOPE IT HELP

~HAVE A GREAT DAY!!

Please need a help !!
Need explanation
Urgent​

Answers

I think its this, havent checked though

Find the equation of a line that is perpendicular to y = -3x – 1 and passes through the point
(3,2).
Give your answer in the form y = mx + b.

Answers

the answer is:
y = 1/3x + 1
I think the answer is y= ⅓ + 1

What is the answer for this equation

Answers

Answer:

the answer is -5,-7,-10,-14,-19

please write your answer with explanation ​

Answers

Answer:

Step-by-step explanation:

If cost price (CP) is greater than selling price (SP) , then the item is sold for loss.

Loss = CP - SP

Loss% = [tex]\frac{loss}{CP}*100[/tex]

If SP is greater than Cp, then the item is sold for a profit.

Profit =SP -CP

Gain % = [tex]\frac{gain}{CP}*100[/tex]

a)  CP = $50    ; SP = $30   ; CP > SP,  loss

Loss = 50 - 30 = $ 20

Loss % = [tex]\frac{20}{50}*100=20*2[/tex]

            = 40% loss

b) CP = £ 5000 ; SP = £6250  ; SP > CP ,  Profit

Profit = 6250 - 5000 = £ 1250

Profit % = [tex]\frac{1250}{5000}*100=25[/tex]

          25% Profit


The circle below is centered at (4, q) and has a radius of 3. What is the equation.

Answers

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (4, - 1 ) and r = 3 , then

(x - 4)² + (y - (- 1) )² = 3² , that is

(x - 4)² + (y + 1)² = 9 → C

SOMEONE PLEASE HELP ME OUT!!!!

Answers

Answer:

40/30

Step-by-step explanation:

Since tan∅= o/a, 40 is opposite, and 30 is adjacent to angle A, 40/30 is the ratio for tanA.

Answer:40/30

Step-by-step explanation:

....


[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.​

Answers

[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]

Convert the percentage into a fraction,
3%=
100

Answers

Answer:

3% = 0.03 = [tex]\frac{3}{100}[/tex]

Answer: 3/100

Step-by-step explanation:

3%=0.03=3/100

Have a great day!!

Write an expression for each statement: A truck has a total of a pounds of fruit which were packed in n boxes. How many pounds of fruit are in each box?

Answers

Answer:

The answer is "[tex]\text{Total number of boxes} =\frac{a}{n \ boxes}[/tex]"

Step-by-step explanation:

Total pounds carried by the vehicle are "a" pounds.

This will be spread into many boxes, each containing "n" pounds.

It implies that:

[tex]\text{Total pounds = box number} \times \text{amount of pounds from every box} \\\\a = \text{box number} \times n\\\\\text{Box number} = \frac{a}{n \ boxes}[/tex]

Marking brainliest

I’m getting a belly piercing soon and this guy asked this question but I’m not sure what he means? Someone help

Answers

Answer:

Say I want a

Step-by-step explanation:

Ask what do you mean

I think he said that what kind of design of the pierce you want :)

David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?

Answers

Answer:

i think its 10.5

Step-by-step explanation:

Answer:

David was 32 two years ago

Step-by-step explanation:

D = 2H + 4

H = 15

D = 30+4

D = 34

David was 32 two years ago

If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ year, you can avoid catastrophe with at least one working​ drive? With four hard disk​ drives, the probability that catastrophe can be avoided is

Answers

Answer:

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Step-by-step explanation:

Given

[tex]p = 3\%[/tex] --- rate of hard disk drives failure

[tex]n = 4[/tex] --- number of hard disk drives

See comment for complete question

Required

[tex]P(Atleast\ 1)[/tex]

First, calculate the probability that the none of the 4 selected is working;

[tex]P(none) = p^4[/tex]

[tex]P(none) = (3\%)^4[/tex]

[tex]P(none) = (0.03)^4[/tex]

Using the complement rule, the probability that at least 1 is working is:

[tex]P(Atleast\ 1) = 1 - P(none)[/tex]

This gives:

[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]

[tex]P(Atleast\ 1) = 0.9999992[/tex]

What value of n makes the equation true?

Answers

Answer:25

Step-by-step explanation: Subtract 7 from 2, you get -5. then multiply both sides of the equation by -5 ( to make -1/5n to n) and you get n=25

The answer is 25

Explanation

sketch the graph of y² = -2x + 5​

Answers

Answer:

[tex] {y}^{2} = - 2x + 5[/tex]

Step-by-step explanation:

vertex = [tex]( \frac{5}{2} \: ,0)[/tex]

Hope it is helpful....

URGENT!!!!!!HELP NOW PLEASE!!!!!!!!!

Answers

Answer:

$2.96

Step-by-step explanation:

Here, we want to get the expected value

To get the expected value, we have to multiply each payout by its corresponding probability and add up for all

So what this mean is that the expected value is the summation of the products of each pay out and their probability

We have the expected value calculated as;

0(0.12) + 1(0.2) + 2(0.38) + 5(0.2) + 10(0.1)

= 0 + 0.2 + 0.76 + 1 + 1 = $2.96

Solve for x. Thank you

Answers

Answer:

x = sqrt(3)

Step-by-step explanation:

Use Thales theorem

x²=3(4-3)x²=3(1)x²=3x=√3

Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×2³

=32 feet³

Answer:

32 ft³

Step-by-step explanation:

Hi there!

[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius

Plug in the given radius, 2 ft

[tex]V=\frac{4}{3} \pi (2)^3[/tex]

Plug in the given value of π, 3

[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]

Therefore, the volume of the sphere is 32 ft³.

I hope this helps!

Solve the equation sin(x - 20°) = cos(42º) for x, where 0

Answers

Answer:

[tex]x = 68[/tex]

Step-by-step explanation:

Sine are Cosine are Complementary Angles.

We can use this formula

[tex] \sin(x) = \cos(y) [/tex]

when x+y=90.

Add the expressions in the parentents to 90 and solve for x.

[tex]x - 20 + 42 = 90[/tex]

[tex]x + 22 = 90[/tex]

[tex]x = 68[/tex]

The answer is

[tex]x = 68[/tex]

1.) What is the domain and range of the function in the graph?
2.) What is the average rate of change over the interval [1, 0]?

Answers

Answer:

Domain → (-∞, ∞)

Range → (-2, ∞)

Step-by-step explanation:

1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).

From the graph attached,

Function is defined for all real values of x.

Therefore, domain of the function will be (-∞, ∞).

On y-axis values of the function vary from -2 (excluding 2) to positive infinity.

Therefore, range of the function will be (-2, ∞).

2). Average rate of change of a function in the interval (a, b) is defined by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

By using this expression we can find the average rate of change in the given interval.

Please give the correct interval for which the average rate of change is to be calculated.

plz help me find the answers​

Answers

Answer:

Correct answer B 130

Step-by-step explanation:

<FAE=90

<AFE=40

We have a triangle, so <FEA= 180-90+40=50

<FEA+FEB= 18-, so 180-50=130

AB parralel to CD then <ECD=130

Determine the value of x.
4.375 units
4.59 units
13.95 units
15 units

Answers

Answer:

13.95 units

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units[/tex]

Which of the following is the graph of the quadratic function y= x2 - 4x + 4
A. Graph D
B. Graph B
C. Graph A
D. Graphic
SUBMIT

Answers

Answer:

graph c

Step-by-step explanation:

it is the longest one

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