8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
balance?

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

In meters he would 2.51 meters.

The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]

The sets of step are given as:

Step number (n)       Height from the base (h)

        50                                 10

        90                                 18

        110                                 22

The above table represents a linear relationship.

So, we start by calculating the slope (m)

[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]

[tex]\mathbf{m = \frac{8}{40}}[/tex]

Simplify

[tex]\mathbf{m = 0.2}[/tex]

The equation is then calculated as:

[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]

So, we have:

[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]

Expand

[tex]\mathbf{h = 0.2n -10 + 10}[/tex]

Evaluate like terms

[tex]\mathbf{h = 0.2n}[/tex]

Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

h=0.2n

Step-by-step explanation:

I'm too lazy to do a step-by-step but this is correct on khan academy.

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Answer: not shaded i think

Step-by-step explanation:

Answer:

Not shaded, because the equation is not true when you plugged in ( 0,0)

Step-by-step explanation:

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer:

4 because I had this quiz and I got 80

The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.

It should be noted that the excess reserves can increase the firm's value and the shareholders value.

Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.

In conclusion, the excess reserves can be used in generating further income for the company.

Learn more about dividend on:

https://brainly.com/question/3161471

Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.

Step-by-step explanation:

9/3=3

3/3=1

1/3=1/3

1/3/3=1/9

1/9/3=1/27

1/27/3=1/81

and I think you know what I mean by now right?

Answer:

  x = 20

Step-by-step explanation:

The interior angles of a regular octagon have measures of ...

  180° -360°/8 = 135°

We want that equal to the given expression.

  7x -5 = 135

  7x = 140 . . . . add 5

  x = 20 . . . . . divide by 7

The value of x is 20.

Answer:

20

Step-by-step explanation:

Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).

135 = 7x - 5,

135 + 5 = 7x,

140 = 7x,

140 / 7 = x,

20 = x

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

Answer: 5/2, 4/3

explanation: got it from a different verified answer

Answer:

2(quotient of x) + 2..............

Answer: m = 2

Step-by-step explanation:

What we know:

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

Slope =                                                                          2

Solution: m = 2

Answer: You should ask an expert, or get a verified expert answer; but I will try my best you can visualize a triangle by plotting down x y in the shape of a triangle try evaluating the expression when you plot your right triangle.

Step-by-step explanation: to do this use what you have already learned about right triangles and visualize 3 different letters that correspond to numbers. (Don't use this answer unless you think it's correct). For I am not an expert

Answer:

Step-by-step explanation:

The answer options are too confusing to decipher.  Here are my solutions:

1.  Craig(x) has six less than half of the amount of dollars Bo(y) has.

 x = (1/2)y - 6

Questions 2  through 8 are either missing the statement or are too difficult to interpret.

9.  Not a function since there is more than one solution to x=-3.

10.  Yes, the function is y = 1

Answer:

Step-by-step explanation:

this makes no sense but okay

Answer: y is 2

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for y ~

Value of y is 2

Answer:

[tex]y = -\frac{1}{6}x - 3[/tex]

Step-by-step explanation:

Slope Intercept Form :   [tex]y = mx + b[/tex]

Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y

[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]

Equation : [tex]y = -\frac{1}{6}x - 3[/tex]

-Chetan K

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

Answer:  

Josh has 60% of $600 that is $360

Daniel has $320

So Josh has more by $40

5)

Bianca has 43 votes

Carlos has 38% of the 150 vote that is 57

So Carlos has 14 more votes than Bianca

Step-by-step explanation:

You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.

Answer:

1.300 correct me if I'm wrong

Answer:

3x+8+5x+12

8x+20=180

A. 80+20=100 No

B. 120+20=140 No

C. 160+20=180 Yes

D. 200+20=220 No

The Answer is C

Hope This Helps!!!

Answer:

x = 20

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8

5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is

5x + 12 + 3x + 8 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Step-by-step explanation:

[tex](3r + 4) + (8r - 2) = 90[/tex]

[tex]3r + 4 + 8r - 2= 90[/tex]

[tex]11r = 88[/tex]

[tex]r = \frac{88}{11} \\ [/tex]

[tex]r = 8[/tex]