A rain jacket that usually costs r dollars is available at a discount. Drag and drop two
expressions to show the correct price of the rain jacket in the spaces provided.
10.2r
0.3r
0.4r
0.5r
(0.6r
0.8r
The price of the rain jacket after a 20% discount:
The price of the rain jacket after a 40% discount:

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

Answer:

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

[tex]n(t) = n(0)(1+r)^t[/tex]

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that [tex]n(5) = 2n(0)[/tex]

We use this to find 1 + r. So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]2n(0) = n(0)(1+r)^5[/tex]

[tex](1+r)^5 = 2[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.1487[/tex]

So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]n(t) = n(0)(1.1487)^t[/tex]

Initially has 45 bacteria

This means that [tex]n(0) = 45[/tex]. So

[tex]n(t) = n(0)(1.1487)^t[/tex]

[tex]n(t) = 46(1.1487)^t[/tex]

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

Answer:

Volume = 113.1 cubic cm

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Answer:

1) 88 cm²

2) 34.137 cm²

3) 11.57 cm²

4) 195.938 cm²

Step-by-step explanation:

1) 6x12=72

4x4=16

72+16=88

2) 1/2x2x4x5=20

1/2π3²=14.137

20+14.137=34.137

3) 5x2=10

1/2π1²=1.57

10+1.57=11.57

4) 3x14=42

π7²=153.938

42+153.938=195.938

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0518

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

[tex]n = 27, s = 21.4[/tex]. So

[tex]M = 2.0518\frac{21.4}{\sqrt{27}}[/tex]

[tex]M = 8.45[/tex]

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

-49 is a rational number.

There are only 3 types of numbers that are irrational.

1.

2. Square roots that are not perfect squares (e.g. the suqare root of 5)

3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

Q = I^2 R T

Step-by-step explanation:

What is the mathematical representation of joules law of heating

What is joules law of heating ??

Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.

Mathematically

Q = I^2 R T

Where,

Q indicates the amount of heat

I show electric current

R is the amount of electric resistance in the conductor

T denotes time

Answer:

C

Step-by-step explanation:

Answer:

y = 50x + 40

Step-by-step explanation:

2 points on the graph:

(0, 40) and (2, 140)

Slope:

m=(y2-y1)/(x2-x1)

m=(140 - 40)/(2 - 0)

m=(100)/2

m= 50

Slope-intercept:

y - y1 = m(x - x1)

y - 40 = 50(x - 0)

y - 40 = 50x

y = 50x + 40

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

3/4 up 3 over 4, its a positive slope

Answer:

C/5

Step-by-step explanation:

This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.

Answer:

1.option is the correct answer right

Answer:45-67-3

Step-by-step explanation:

Answer:

6 faces

Step-by-step explanation:

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Answer:

42/100

Step-by-step explanation:

3/10=30/100

6/100+30/100+6/100= 6+30+6=42

42/100

Is 42/100 an awser if so it should be right?

Answer:

yes

Step-by-step explanation:

Answer: it is the 4 one

Step-by-step explanation:

I have attached the answer, I hope this helps! :D (If the attachment doesn't work, the answer is the one in the bottom right corner)

Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

Answer:

2.25 Gallons.

Step-by-step explanation:

A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.

Multiply 18 pints by 0.125.

18 · 0.125 = 2.25

To Check Work:

Divide 2.25 by 0.125 to equal 18.

[tex]\frac{2.25}{0.125} = 18[/tex]

Divide 2.25 by 18 to equal 0.125.

[tex]\frac{2.25}{18} = 0.125[/tex]

Answer:

[tex]33 : 39 \equiv11 : 13[/tex]

Answer:

6750J

Step-by-step explanation:

30^2=900 900x15=13500 13500/2=6750

Answer:

K=6750[J]

Step-by-step explanation:

[tex]Kinetic \:Energy=\frac{1}{2} mv^2\\\\K=\frac{1}{2} (15)(30)^2\\\\K=6750[J][/tex]

Answer:

(x-5)(x+5)

Step-by-step explanation:

x^2 -25

We can rewrite this as the difference of squares

x^2 - 5^2

(x-5)(x+5)