Write an equation of the line with the given slope, m, and y-intercept (0,b).

m = 8, b = 9

9514 1404 393

Answer:

  22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

  P = a+b+c = (2 +6 +7) cm = 15 cm

  LA = Ph

  330 cm^2 = (15 cm)h . . . fill in the known values

  h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.

Answer:

I. x = -1

II. y = 1

Step-by-step explanation:

Given the following algebraic expressions;

9x + 10y = 1 .......equation 1

9x - 6y = -15 ......equation 2

To solve using the elimination method, we would subtract eqn 1 from eqn 2.

(9x - 9x) + (-6y - 10y) = (-15 - 1)

0x - 16y = -16

-16y = -16

16y = 16

y = 16/16

y = 1

Next, we would find the value of x;

From eqn 1;

9x + 10y = 1

Substituting the value of y, we have;

9x + 10(1) = 1

9x + 10 = 1

9x = 1 - 10

9x = -9

x = -9/9

x = -1

Answer:

1/9

Step-by-step explanation:

We know that the variable multiplied is just the reciprical which is 1/9

By the way, can you follow me on Brainly?

Thanks!

Answer:

Average is 2 hours

Answer:

There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.

Step-by-step explanation:

Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:

1 + 4 + 3 + 2 = 10

Beef soup = 2 cans = 2/10 = 0.2 = 20%

Chicken soup = 4 cans = 4/10 = 0.4 = 40%

20 + 40 = 60

Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.

Answer:

50,000 square inches

Step-by-step explanation:

1:5 ratio so 250,000/5=50,000

Answer:

The first plan has an initial fee.

The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.

Step-by-step explanation:

Answer:

117.25

Step-by-step explanation:

Answer:

Range = 19

Step-by-step explanation:

Range = maximum value - minimum value

Maximum value is indicated by the whisker to our far right on a box plot = 25

Minimum value is at the whisker to our far left = 6

Range = 25 - 6 = 19

Answer:

Yes, it's true

Step-by-step explanation:

A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.

Answer:

P=0.05

Step-by-step explanation:

You need to find the ratio of the areas, and they vary in function of the square of the radius, so you have P=2²/9²=4/81≈0.05

Answer:

Hey, dude what grade are you in and I use ignitia

Step-by-step explanation:

Answer:

No this is not a function since 2 of the domain values have the same range.

Step-by-step explanation:

Well in simpler terms, if one or more range values (right side) have more then 1 arrow pointing to them, its automatically not a function. If each one has one arrow pointing towards them, its a function.

Answer:

1. -12x^8

2. 8x^6

3. 16x^11

Step-by-step explanation:

The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.

The given table represents the Multiplication table.

To fill the table we need to multiply the corresponding elements of that cell of the table.

For drop-down 1,

[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]

[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]

For drop-down 2,

[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]

[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]

For drop-down 3,

[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]

[tex](-4x^{11})\times (-4)=16x^{11}[/tex]

Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.

Find out more about 'Multiplication table' here:

https://brainly.com/question/17211095

Answer:

Population after 16 year = 927 people (Approx.)

Step-by-step explanation:

Given:

Decrease rate = 10% per year

Current population = 5,000

Find:

Population after 16 year

Computation:

A = P[1-r]ⁿ

A = 5,000[1-0.1]¹⁶

A = 5,000[0.9]¹⁶

A = 5,000[0.1853]

A = 926.51

Population after 16 year = 927 people (Approx.)

Answer:

5 lbs

Step-by-step explanation:

90 - 53.10 = 36.90

She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:

36.90 / 7.38 = 5

Raina bought 5 pounds of coffee.

Answer:

8/12-5/12=3/12 or 1/4 :)

Answer:

1/4 = 0.25

Step-by-step explanation:

2/3 - 5/12

Least common multiple of 3 and 12 is 12. Convert 2/3 and 5/12 to fractions with denominator 12.

8/12 - 5/12

Since 8/12 and 5/12 have the same denominator, subtract them by subtracting their numerators.

8-5/12

Subtract 5 from 8 to get 3.

3/12

Reduce the fraction 3/12 to lowest terms by extracting and canceling out 3.

1/4

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Answer:

[tex]24[/tex] prairie dogs per square kilometer

Step-by-step explanation:

To find the population density, simply divide the population by the area they live in. In this case, the population is [tex]384[/tex] prairie dogs and they live in an area of [tex]16[/tex] km². Therefore, the population density is [tex]\frac{384}{16} = \bold2\bold4[/tex] prairie dogs per square kilometer. Hope this helps!

Answer:

y = x -2

Step-by-step explanation:

Slope = 1

(-6 , -8)

y - y₁ = m(x - x₁)

y - [-8] = 1(x - [-6] )

y + 8 = x + 6

y = x + 6 - 8

y = x - 2

Answer:

New balance = 3640

Step-by-step explanation:

Given the following data;

Interest rate = 4% = 4/100 = 0.04

Principal = 3500

To find the new balance;

First of all, we would find the amount at the interest rate;

New amount = interest rate * principal

New amount = 0.04 * 3500

New amount = 140

Now, to find the new balance;

New balance = principal + new amount

New balance = 3500 + 140

New balance = 3640

Answer:

1. The facts are;

[tex]\overline x _1[/tex] = 95 days

s₁ = 32 days

n₁ = 18 SUV's

[tex]\overline x _2[/tex] = 48 days

n₂ = 38 small cars

s₂  = 24 days

The confidence level = 95%

The confidence interval is (29.55,  64.45)

Step-by-step explanation:

The facts of the problem are;

The number of SUV's he sold, n₁ = 18 SUV's

The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days

The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days

The number of small cars he sold, n₂ = 38 small cars

The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days

The standard deviation of the time it took to sell the 38 small cars, s₂  = 24 days

The 95% confidence interval is given as follows;

Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]

[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]

We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741

∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45

Answer:

80 / 89

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo, the following data were obtained:

<I = θ

Hypothenus = 89

Opposite = 80

Sine <I =?

Sine ratio of <I can be obtained as follow:

Sine θ = Opposite / Hypothenus

Sine <I = 80 / 89

Thus, the ratio of sine <I is 80 / 89

Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.5

Answer:

Step-by-step explanation:

since -1≤sin2x≤1 no x values would satisfy the equation