which one is the nth term if a1=15 and d= -3​

Answer:

23 minutes

Step-by-step explanation:

Friend one is 0. While friend 3 is 23. Subtract: 23-0=23.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

a

Step-by-step explanation:

(-2)² + (+5)² = (-2)*(-2)  + 5 * 5

                   = 4 + 25

                   = +29

Given:

Different relations in the options.

To find:

The relation which is a function.

Solution:

A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.

In option A, [tex]y=0,1, 2, 3[/tex] for [tex]x=4[/tex]. So, this relation is not a function.

In option B, [tex]y=8, 10[/tex] for [tex]x=10[/tex]. So, this relation is not a function.

In option C, [tex]y=6, -2[/tex] for [tex]x=-2[/tex]. So, this relation is not a function.

In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.

Therefore, the correct option is D.

Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

Answer:

75.64

Step-by-step explanation:

add them

Answer:

75.64

Step-by-step explanation:

Add the two amounts together to determine the amount of salt in the bowl

19.4+56.24

Make sure to line up the decimals

19.4

56.24

-----------

75.64

Answer:

It's [tex]3x^4+22x^3+31x^2-6[/tex]

Step-by-step explanation:

Area is L times width

LW=H

and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]

basically you multiply yhem togetheer and combine like terms and voila

The answer is 3x^4 + 24x^2 - 6

explanation:

A = l × w

= (3x^2+4x-2)(x^2+6x+3)

=(3x × x) + (4x×6x) + (-2×3)

= 3x^2 + 24x^2 - 6

Answer:

h. I dont understand the question-

i. 2w + 5

j. 7m + 13s (I didnt get the second number)

k. -2x + 3y (I also didnt get the first number-)

l. 5c - 2d

m. 10a + 2g

n. 5a + 12

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

Answer:

1-2i

Step-by-step explanation:

Divide: 5 + 2i by 3 + 4i.

Given data

5 + 2i by 3 + 4i.

We have the expression as

(5 + 2i)/(3 + 4i)

Rationalize the denominator

(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)

=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2

=15-14i+8/9-16

=7-14i/-7

=1-2i

Answer:

2.4

6 divided by 2.5= 2.4

Step-by-step explanation:

Hope this is correct, if not feel free to let me know and I can fix it. I'm sorry in advance if it is incorrect.

Answer:

The answer is indeed 2.4:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]f(x)\neq g(x)[/tex]

[tex]when ~x=3[/tex]

[tex]So, the ~third~ option~is ~your~ answer[/tex]

Answer:

x = √17    exact answer

x ≈ 4.12    decimal approximation

Step-by-step explanation:

a² + b² = c²

x² + 8² = 9²

x² + 64 = 81

x² = 17

Take the square root of both sides

x = √17    exact answer

x ≈ 4.12    decimal approximation

Answer:

A=4cm

ok to do this we do the formula

A=PiR^2

A=3.14*4^2

A=3.14*16

A=50.24

and the area of circle B is 4 times the area of a so

50.24*4=200.96

200.96=3.14*X^2

Since  r  is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96  Divide each term by  3.14  and simplify.

r 2 = 64

r=8

CIRLCE A=50.24

CIRLCE B=8

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer:

[tex] \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = \frac{1}{125} [/tex]

=====================================================

Explanation:

Use of a calculator will show that

2/3 = 0.6666...

where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67

The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.

Answer:

30 dólares es la ganancia neta.

Step-by-step explanation:

En la primera transacción, el hombre está perdiendo 50 dólares:

1. -50 dólares

En la segunda transacción, el hombre gana 70 dólares:

2. -50 + 70 = +20 dólares

En la tercera transacción pierde 80 dólares:

3. 20 - 80 dólares = -60 dólares

Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:

4. -60 dólares + 90 dólares =

Answer:

9/7 =a

Step-by-step explanation:

9 / -a + 15 = 8

Subtract 15 from each side

9 / -a + 15 -15 = 8-15

9 / -a = -7

Multiply each side by -a

9/-a * -a = -7 * -a

9 =7a

Divide each side by 7

9/7 = 7a/7

9/7 =a

Answer:

9 / 7 = a

Step-by-step explanation:

9 / - a + 15 = 8

Determined the defined range

9 / ( - a ) + 15 = 8 , a ≠ 0

subtract 15 from each side

9 / - a + 15 - 15 = 8 - 15

calculate the difference

9 / - a = - 7

multiply both side of equation by - a

9 / - a × - a = - 7 × - a

9 = 7 a

divide each side by of equation by 7

9 / 7 = 7 a / 7

9 / 7 = a

Both equations represent straight lines

The first line has slope of 2 and y-intercept at -3

The second line gas slope of 2 and y-interceot at +3

you may now try to plot these two lines on the paper

Answer: B: 1/8

Step-by-step explanation: the formula for volume of a cube is a^3, so I 1/2^3 = 1/8

your answer is B: 1/8

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

Answer:

(x - 4)(x - 2)

Step-by-step explanation:

x² - 6x + 8

x² - 2x - 4x + 8

x(x - 2) - 4(x - 2)

(x - 4)(x - 2)

Step-by-step explanation:

(x-4)(x-2)=0

x2-2x-4x+8=0

x2-6x+8=0

Answer: Use division to convert the fraction to a decimal: 1/4 = 1 ÷ 4 = 0.25.

Multiply by 100 to get percent value: 0.25 × 100 = 25%

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

Find the area of the rectangle on the top

A = 7*13 = 91

Now find the area of the rectangle on the bottom

13 - (5+5) = 3

11-7 = 4

The dimensions of the bottom rectangle are 3 by 4

A = 3*4 = 12

The total area is 91+12 = 103