The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a

Answer:

Step-by-step explanation:

A=2  ,B=4  ,C=?

[tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

[tex]C^{2}[/tex]=[tex]2^{2}[/tex]+[tex]4^{2}[/tex]

[tex]C^{2}[/tex]=4+16

[tex]C^{2}[/tex]=20

C=[tex]\sqrt{20}[/tex]

Answer:

hijjijkkkmmkmjjjjjjjjjijjji

Answer:  [tex]\$202[/tex]

Step-by-step explanation:

Given

Jennifer has $400 more than Brian

Suppose Brian has x amount initially

So, Jennifer has 400+x

If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with

[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]

Thus, Brain has [tex]\$202[/tex]

Answer:

Slope is (1/4)

Step-by-step explanation:

The slope is calculated by (6-5)/(5-1)=1/4

Answer:

11.2 cm

Step-by-step explanation:

Given that;

Arc Length Formula (if θ is in radians): l = ϴ × r

ϴ = angle subtended in radians

r= radius of the circle

l = 8cm × 1.4 radians

l= 11.2 cm

Given:

The sum of the cubic powers of three rational numbers is -1009.

The ratio between the first number and the second number is [tex]\dfrac{2}{3}[/tex].

The ratio between the first number and the third number is [tex]\dfrac{4}{9}[/tex].

To find:

The three numbers.

Solution:

Let [tex]x,y,z[/tex] be the three numbers, then

[tex]x^3+y^3+z^3=-1009[/tex]                ...(i)

[tex]\dfrac{x}{y}=\dfrac{2}{3}[/tex]

[tex]3x=2y[/tex]

[tex]\dfrac{3}{2}x=y[/tex]                        ...(ii)

[tex]\dfrac{x}{z}=\dfrac{4}{9}[/tex]

[tex]9x=4z[/tex]

[tex]\dfrac{9}{4}x=z[/tex]                         ...(iii)

Using (i), (ii) and (iii), we get

[tex]x^3+\left(\dfrac{3}{2}x\right)^3+\left(\dfrac{9}{4}x\right)^3=-1009[/tex]

[tex]x^3+\dfrac{27}{8}x^3+\dfrac{729}{64}x^3=-1009[/tex]

[tex]\dfrac{64+216+729}{64}x^3=-1009[/tex]

[tex]\dfrac{1009}{64}x^3=-1009[/tex]

[tex]x^3=\dfrac{-1009\times 64}{1009}[/tex]

On simplification, we get

[tex]x^3=-64[/tex]

[tex]x^3=-4^3[/tex]

[tex]x=-4[/tex]

Substituting [tex]x=-4[/tex] in (ii), we get

[tex]\dfrac{3}{2}(-4)=y[/tex]

[tex]-6=y[/tex]

Substituting [tex]x=-4[/tex] in (iii), we get

[tex]\dfrac{9}{4}(-4)=z[/tex]

[tex]-9=z[/tex]

Therefore, the three numbers are -4, -6 and -9 respectively.

Answer:

We have that the sum of two numbers  is 9

this can be written as:

x + y  = 9

where x is the larger number.

Now we want to write:

"the difference between one more than the larger number and twice the smaller number"

First, remember that the difference between A and B is:

A - B

Then "the difference between one more than the larger number and twice the smaller number"

is:

"one more than the larger number" = ( x + 1)

"twice the smaller number" = 2*y

the difference between these is:

(x + 1) - 2*y

Now we can simplify:

We know that:

x + y = 9

then:

y = 9 - x

replacing that in the equation:

(x + 1) - 2*y

we would get:

x + 1 - 2*(9 - x)

x + 1  -18 + 2x

(x + 2x) + (1 - 18)

3x - 17

This means that we can write:

"the difference between one more than the larger number and twice the smaller number"

as: 3x - 17

Answer:

Step-by-step explanation:

Answer:

246×17=4182

2460×1700=4182000

(one zero on the end+2 zeroes in the end=3 zeroes in the end on the answer)

16×3=48

0,16×0,3=0,048

(2 numbers after comma+1 number after comma=3 numbers after comma in the answer)

Answer:

Let the two equal angles be x . Hence the third angle is 3x . But the sum of the interior angles of a triangle always adds up to 180∘ . ∴x=1805=36∘

Answer:

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Step-by-step explanation:

Sum of all angles in any triangle is 180°

angle 1 = angle 2 = X

angle 3 = 3×X

angle 1 + angle 2 + angle 3 = 180°

X + X + 3×X = 5×X = 180°

X = 180° / 5 = 36°

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Answer:

Answer is b

Step-by-step explanation:

cuh cuh cuh cuh cuh cuh , , , , , ,,

Answer: $265

Step-by-step explanation: I just added all the numbers together.

Answer:

HOPE IT HELP YOU....

if it is right plz comment me .

Answer:

The correct solution is "(0.092, 0.148)".

Step-by-step explanation:

Given:

Sample size,

n = 500

True proportion,

[tex]\hat {p} = \frac{60}{500}[/tex]

  [tex]=0.12[/tex]

The standard error will be:

[tex]SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

     [tex]=\sqrt{\frac{0.12(1-0.12)}{500} }[/tex]

     [tex]=\frac{0.12(0.88)}{500}[/tex]

The confidence interval is "1.96".

hence,

The required confidence interval will be:

= [tex](\hat p - 1.96 SE, \hat p + 1.96 SE)[/tex]

By substituting the values, we get

= [tex](0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} } )[/tex]

= [tex](0.092, 0.148)[/tex]

Answer:

a = 3 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

a + 5 [tex]\frac{2}{3}[/tex] = 9 ← change mixed number to improper fraction

a + [tex]\frac{17}{3}[/tex] = 9 ( multiply through by 3 to clear the fraction )

3a + 17 = 27 ( subtract 17 from both sides )

3a = 10 ( divide both sides by 3 )

a = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]

Answer:

5/2

Step-by-step explanation:

The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.

Let the ages be 3x and 4x

ATQ

[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]

[tex]\\ \Large\sf\longmapsto x=5[/tex]

Now

[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]

[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]

Their present ages are 15 and 20 years.

Let the age of Minu be represented by x

Since the difference between their ages is 5 years, then the age of her brother will be x + 5.

Based on the information given in the question, the equation to use in solving the question will be:

x/(x + 5) = 3/4

Cross multiply

(4 × x) = 3(x + 5)

4x = 3x + 15

Collect like terms

4x - 3x = 15

x = 15

Minu's age is 15 years

Therefore, her brother's age will be:

= x + 5

= 15 + 5

= 20 years

In conclusion, their present ages are 15 and 20 years.

Read more on:

https://brainly.com/question/17671517

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Answer:

Step-by-step explanation:

I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds

Answer:

Step-by-step explanation:

Steps:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer: 13.1

Step-by-step explanation:

Answer:

4y+2x ≤ -1

(5,-3)

4x(-3)+2×(5) ≤ -1

-12+10≤ -1

-2 ≤ -1

A) 4y+2x ≤ -1

~OAmalOHopeO

Answer:

98.7 tonnes of sand.

Step-by-step explanation:

First find the total :

3 + 1 + 15 = 19

if 19 = 125 tonnes,

what about 15 = ?

(cross multiply)

[tex] \frac{15}{19} \times 125[/tex]

= 1875 ÷ 19

= 98.68

(rounded off to 1 decimal place)

= 98.7 tonnes of sand.

Answer:

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Step-by-step explanation:

Answer:

I'm not sure about the answer.

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Hope this helps you ^^

Answer:

6.5

Step-by-step explanation:

you just take whats between the numbers

Answer:

Step-by-step explanation:

If you plot those coordinates in your calculator in the stat plot function under "stat", you will see that the dots are almost but not quite in a straight line going from upper left to lower right. This indicates a strong negative linear association, third choice down.

Answer:

D. Nonlinear Negative Association

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A' (8,16)

B' (8,-4)

C' (-16,4)

Answered by GAUTHMATH