The nth term of a sequence is 3n² Work out the value of the 15th term.​

Answer:

38.66

Step-by-step explanation:

Answer:

Step-by-step explanation:

pa BRAINLEST pls

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

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Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

Answer:

I hope this helps.

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Answer:

[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]

hope helpful <3

Answer:

3/9

Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3

For the total multiply the amount by 1 + the meal tax:

25.30 x 1.08 = $27.32

Answer: $27.32

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

(x - 2)(x + 1) = ...

= x² + (-2 + 1)x + (-2•1)

= x² - x - 2

Answer:

Profit = $21

Step-by-step explanation:

14 sweaters = $154

Cost of 1 Sweater = 154 ÷ 14

= $11

New Cost for 14 Sweaters = $448

New Cost of 1 Sweater = 448 ÷ 14

= $32

Profit Per Sweater = 32 - 11

= $21

Full Profit = 448 - 154

= $294

Answer:

21

Step-by-step explanation:

21

Answer:

( iii)

a-x/a+x =b

a-x=b(a+x)

a-x=ab+ax

a-ab=ax+x

a-ab=x(a+1)

a-ab/a+1=x(a+1)/a+1

x=a-ab/a+1

x=a(1-b)/a+1

Answer:

15% 15%

Step-by-step explanation:

it was correct for me

The percent error of Li’s guess is 15%

"It is the absolute difference between an observed value and the actual value."

"It is the ratio of the absolute error of the measurement to the actual value."

"It is the relative error multiplied by 100."

For given example,

Li’s guess is 345 jelly beans.

observed value (E) = 345

The actual number of jelly beans is 300

actual value (A) = 300

So, the absolute error is,

Absolute error = |E - A|

                        = | 345 - 300|

                        = 45

Now, we find the relative error of Li's guess.

Relative error = 45 ÷ 300

Relative error = 0.15

The percent error is,

0.15 × 100 = 15%

Therefore, the percent error of Li’s guess is 15%

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#SPJ2

        With this in mind,

                 x + y = -3

                 x * y = -18

        Then we will think about which ones could add up to 3

                 1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)

                 Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.

        You can see our test shows this solution works!

                 -6 + 3 = -3

                 -6 * 3 = -18

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

we have -4.5 + 4.4 + x = 0

<=> -0.1 + x = 0

<=> x = 0.1 ( P/s: x is the answer to fill in the blank )

Now look in the answer below we have :

+) A. -6.7 + 6.8 = 0.1 (S)

+) B. -6.7 +(-6.6) = -13.3 (NS)

+) C. 7.2 + (-7.2) = 0 (NS)

+) D. 7.2 + (-7.3) = -0.1 (NS)      ( P/s: NS : not selected , S : selected )

So A is the correct answer

Ok done. Thank to me :>

Answer:it is D

Step-by-step explanation:

Answer:

97 / 60 is what 2/3 + 3/4 + 1/5 comes

They also come to 1 37/60

Step-by-step explanation:

1 37/60 = 97/60           Does it?

Result = 2/3 + 3/4 + 1/5

The common denominator is 3 * 4 * 5 = 60, so that much is true.

2/3 = 40/60

3/4 = 45/60

1/5 = 12 / 60

When you add these three together, the numerator is 40 + 45 + 12 = 97

So the answer is correct.

Answer:

Sound and Light

Step-by-step explanation:

Just did this and got it right!!

Hope it helps you!!!  :)

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

In philosophy, objectivity is a central concept that generally denotes an objective and impartial approach to something. The opposite is subjectivity.

That something is objectively true, an objective truth, means that it is true regardless of subjectivity. Objectivity is usually an ideal in connection with research, as the result is expected to be as independent of the researcher's opinions or ideas as possible.

Objectivity is often also emphasized as a basic ideal in journalistic work. An important question in philosophy is whether it is possible to experience something objectively.

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Answer:

X

Step-by-step explanation:

In ∆PQR and ∆MNR

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Step-by-step explanation:

PQ ≅ MN                    ⇒  Given

QR ≅ NR                     ⇒ Given

R is midpoint of PM    ⇒ Given

PR ≅ MR                      ⇒ Definition of midpoint

ΔPQR ≅ ΔMNR           ⇒ SSS postulate

Answer:

38 - 32 = 6

Step-by-step explanation:

subtract the question

Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

Answer:

64

Step-by-step explanation:

4*2 is 8

Multiply 8*8

Answer:

the answer is 64

Step-by-step explanation:

8(4*2)

=8*8

=64

Answer:

A

Step-by-step explanation:

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h