what is the value of a21?

Answer:

#4

Step-by-step explanation:

1) The y intercept is 0.

2) Convert to slope-intercept form:

2x + 3y = 12

3y = -2x + 12

y = -2/3 x + 4

So the y-intercept is 4.

3) Write in point-slope form:

y + 4 = 2 (x - 1)

Now convert to slope-intercept form:

y + 4 = 2x - 2

y = 2x - 6

So the y-intercept is -6.

4) The y-intercept is 5.

So of the four lines, #4 has the largest y-intercept.

Answer:

[tex]\boxed{\text{(4) The graph}}[/tex]

Step-by-step explanation:

The question is asking, which function has the greatest value when x = 0?

We must evaluate f(0) for each one.

(1) ƒ(x) = 3x

f(0) = 3 × 0 = 0

(2) 2x + 3y = 12

        Let x = 0.

2 × 0 + 3y = 12

     0 + 3y = 12

           3y = 12

            y = 4

(3) The line

The line has a slope of 2, and y= -4 when x = 1.

y increases by 2 when x increases by 1.

For the same reason, y decreases by 2 when x decreases by 1.

Thus, when x decreases from 1 to 0, y decreases from -4 to -6.

f(0) = -6.

(4) The graph

The graph has a y-intercept at y = 5, so,

f(0) = 5.

[tex]\boxed{\textbf{The graph}}[/tex] has the greatest y-intercept.

Without the specific details of the spinner's sections, it is impossible to determine the exact odds of landing on yellow. Generally, the odds are calculated as the number of yellow sections divided by the total number of sections minus the yellow sections, such as 1:7 for a spinner with one yellow and seven other sections.

The question seems to be about calculating probabilities in different scenarios involving a spinner or balls with various colors. However, the exact description of the spinner is not provided. To calculate the odds of spinning yellow, we need the total number of sections on the spinner and the number of those sections that are yellow. Without this information, we can't provide a specific numerical answer. If we knew the spinner had a certain number of equal-sized sections, the odds of spinning yellow would be the number of yellow sections divided by the total number of sections minus the yellow sections.

If we assume there is one yellow section on the spinner, and there are a total of eight sections, then the odds of spinning yellow would be calculated as 1/(8-1), which simplifies to 1/7. Therefore, the odds of spinning yellow would be 1:7.

The odds of landing on yellow on the spinner in the image are 50%. This is because there are two equally sized sections of the spinner colored yellow, and two sections of other colors.

The probability of landing on any particular section is equal to the size of that section divided by the total size of the spinner. In this case, each of the yellow sections takes up half of the spinner, so the probability of landing on yellow is 1/2, or 50%.

It is important to note that this assumes that the spinner is spun fairly, and that each section has an equal chance of landing at the bottom. If there is any bias or if the sections are not of equal size, then the actual odds of landing on yellow will be different.

To find the sale price of a sweater, convert the discount percentage to a decimal, multiply by the original price to get the discount amount, and subtract this from the original price.  So correct answer is B.

The correct steps needed to find the sale price of the sweater that Joy is planning to purchase are as follows:

Convert the percent discount to its decimal equivalent.

Multiply the decimal by the original amount to find the discount amount.

Subtract the discount amount from the original amount to determine the sale price.

Answer:

The probability that the point will be in the part that is NOT shaded is about 20% ⇒ 4th answer

Step-by-step explanation:

* Lets look to the figure

- There are four circles inscribed in  a square

- The four circles touched each other and touched the four

  sides of the square

∴ The side of the square = twice the diameter of a circle

- If the side of the square is l and the diameter of the circle is d

∴ l = 2d ⇒ divide the two sides by 2

∴ d = (1/2) l

∵ The radius of the circle = (1/2) the diameter

∴ r = (1/2) d

∵ d = (1/2) l

∴ r = (1/2)(1/2) l = (1/4) l

* Now lets find the area that NOT shaded

∵ The area of the square = side × side

∴ The area of the square = l × l = l²

∵ The area of the circle = πr²

∵ r = (1/4) l

∴ r² = [(1/4) l]² = (1/4)² × l² = (1/16) l²

∴ The area of one circle = (1/16)πl²

- The shaded part is the four circles

∴ The shaded area = 4 × (1/16)πl² = (1/4)πl²

- The part is not shaded = Area of the square - Area of the shaded part

∴ The area of not shaded = l² - (1/4)πl² ⇒ take l² as a common factor

∴ The area of not shaded = l²(1 -1/4 π)

- The probability that the point will be in the part that not shaded is

  area of the part not shaded/area of the square

∴ P = l²(1 - 1/4 π)/l² ⇒ cancel l² from up and down

∴ P = (1 - 1/4 π )/1 = 0.2146 ≅ 0.2

- Chang it to percent number

∴ P = 0.2 × 100% = 20%

* The probability that the point will be in the part that is NOT shaded

  is about 20%

∴ r = (1/2) d

∴

2 x square - 18 x + 36

2 x square - 6 x -12 x + 36

2 x (x - 3 )- 12 (x - 3 )

x - 3 2 x =12

x = 3 x =6

Answer:

A) x=3 or x=6

Step-by-step explanation:

Factor out the GCF : 2(x^2-9x+18)

Then, set to zero.

2(x^2-9x+18)=0

2(x-3)(x-6)=0

x=3 or x=6

Answer:

Step-by-step explanation:

16 units

Answer:

x = √(13² - 12²) = √(169 - 144) = √25 = 5

Answer:

x = 2

Step-by-step explanation:

Given 2 secants drawn from an external point to the circle, then

EC × ED = EB × EA, that is

(x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11)

(x + 4)(x + 5) = (x + 1)(x + 12) ← expand factors on both sides

x² + 9x + 20 = x² + 13x + 12 ← subtract x² + 13x from both sides

- 4x + 20 = 12 ( subtract 20 from both sides )

- 4x = - 8 ( divide both sides by - 4 )

x = 2

Answer:9/5

Step-by-step explanation:

Hi there, hope this helps you. Have a great day! :)

Answer:

1 4/5

Step-by-step explanation:

1. Convert your mixed numbers to fractions. Your equation will become:

[tex]\frac{12}{1}[/tex] / [tex]\frac{2}{3}[/tex]

2. Apply the fractions formula for division.

[tex]\frac{12 x 3}{ 1 x 20}[/tex]

3. Solve the fraction formula for division.

You'll get [tex]\frac{36}{20}[/tex]

4. Simplify. Your final answer is [tex]1 \frac{4}{5}[/tex]

Answer:

226.2 feet

Step-by-step explanation:

The fence around the dog's house is a circle, with a radius of 12 meters.

To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:

C = 2 π r, since we know r, the calculation is easy:

C = 2  π 12 = 24 π = 75.4 feet.

The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.

Dogs run = 3 x 75.4 ft = 226.2 feet

Answer:

[tex]h(x)=5^x[/tex]

Step-by-step explanation:

All the graphs are growing bigger and bigger as x-values grows bigger.

This implies that the graphs represent exponential growth.

Hence their equation is in the form;

[tex]y=a^x[/tex]

The bigger the value of 'a' the faster the graph grows

We can see that h, grew faster than all the other graphs, hence 'a' should be the largest value, which is 5.

Therefore the function is :

[tex]h(x)=5^x[/tex]

Answer:

Correct choice is function  [tex]h(x)=5^x[/tex]

Step-by-step explanation:

We have been given a graph of three functions f, g and h.

Now we need to find the best matching equation for the function h(x).

From graph we can see that all of the curves are increasing must faster as the move from left side to right side. That indicates they are exponential functions.

We know that if base is larger then graph will move upward much faster.

largest base from available bases is 5.

So the correct function is [tex]h(x)=5^x[/tex]

The ratio of dry rice to water is 1 to 2. This means that water is two times more than dry rice. Since the chef uses 9.5 cups of dry rice, the chef needs 19 cups of water.

You can check by using fractions. 9.5 / 19 in simplified form is 1/2, which is 1:2 in ratio.

It would be 9.5:19 just multiply 9.5 by 2

C. 30 divided by 7 is roughly 4.3 which’s is between 4 and 5

Answer: The formula for the volume of a cylinder is v = πr2h. The volume for a cone whose radius is R and whose height is H is V = 1/3πR2H.

Your answer for this question will be B.4

Answer:

Choice B; 4

Step-by-step explanation:

The solution to a system of equations is a pair of points (x, y) such that both equations pass through the given point. The number of solutions will thus be the number of such points where both functions pass through or intersect. The solutions to a system of equations can be determined analytically or graphically.

In this case, the graphical approach is much easier to use. We simply graph the two equations on the same graph and determine the number of points where they intersect.

From the attachment below, we see that the functions intersect at 4 distinct points. Hence there are 4 solutions to the system of equations given.

Answer:

45,000

Step-by-step explanation:

Apex is the source

Answer: the answer is $ 45,000 APEX

Answer:

I would say it's b because that makes the most sense tbh

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(2, -1)

Step-by-step explanation:

The function f(x-4) represents a shift of f(x) 4 units to the right. Adding 4 to the x-coordinate of (-2, -1) puts it at (2, -1).

D) Arc wx and arc yz is the correct answer because both arcs are equal to 27

Answer:

Option D is correct.

Step-by-step explanation:

Arcs are said to be equal if it subtends equal angles at the center

here we can see that  arcs WX and ZY subtends equal angle and its measure is 27 degrees.

therefore option D is correct answer

Since we are not given the angles subtended by WY and XZ in the center

so we cannot say for option A

Likewise we cannot say  for rest of the option.

Answer:

[tex]\sec \theta=-\sqrt{5}[/tex]

Step-by-step explanation:

The hypotenuse is [tex]h^2=6^2+3^2[/tex]

[tex]h^2=36+9[/tex]

[tex]h^2=45[/tex]

[tex]h=\sqrt{45}[/tex]

[tex]h=3\sqrt{5}[/tex]

The terminal side of [tex]\theta[/tex] is in the second quadrant.

In this quadrant; the secant ratio is negative.

[tex]\sec \theta=-\frac{hypotenuse}{adjacent}[/tex]

[tex]\sec \theta=-\frac{3\sqrt{5}}{3}[/tex]

[tex]\sec \theta=-\sqrt{5}[/tex]

The value of sec theta is [tex]\sec(\theta) = -\sqrt5[/tex]

From the diagram, we start by calculating the length of the hypotenuse (h).

So, we have:

[tex]h = \sqrt{6^2 + 3^2[/tex]

Evaluate

[tex]h = \sqrt{45[/tex]

Simplify

[tex]h = 3\sqrt{5[/tex]

The value of the secant in the second quadrant is calculated as:

[tex]\sec(\theta) = -\frac{Hypotenuse}{Adjacent}[/tex]

So, we have:

[tex]\sec(\theta) = -\frac{3\sqrt5}{3}[/tex]

Evaluate

[tex]\sec(\theta) = -\sqrt5[/tex]

Hence, the value of sec theta is [tex]\sec(\theta) = -\sqrt5[/tex]

Read more about trigonometry at:

https://brainly.com/question/11967894

Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

The factored form of the given expression is (z-6)(z+3).

Step-by-step explanation:

The given expression is

[tex]z^2-3z-18[/tex]

The middle term can by written a -6z+3z.

[tex]z^2-6z+3z-18[/tex]

[tex]z(z-6)+3(z-6)[/tex]

[tex](z-6)(z+3)[/tex]

Therefore the factored form of the given expression is (z-6)(z+3).

The answer to this question is going to be 88.53 because you shift it horizontally

Answer:

it's 160 or 160. 56

Step-by-step explanation:

since you want the height horizontally from the starting height, and that height was 5.4 metres,

-.06x^2 + 9.6x + 5.4 = 5.4

the 5.4 drops out, so

x(-.06x + 9.6) = 0

x = 0 , the starting time

or

x = 9.6/.06 = 160

it will land after 160 m

Answer:

74000

Step-by-step explanation:

1.      10^-4=10000

2.      10000*3.7=37000

3.      37000*2=74000

The answer is:

Matt will need 120 quilt squares.

To solve the problem, we need to calculate the area of the wall and then, calculate how many quilt squares are needed.

We know that the wall measures 1 yard and 2 1/2 feet, also we know that the quilt squares measures 3 inches.

First, we need to conver the units:

So, converting we have that:

[tex]1yard=36inches[/tex]

Also,

[tex]1feet=12inches[/tex]

[tex]2.5*1feet=2.5*12inches[/tex]

[tex]2.5feet=30inches[/tex]

For the wall:

Calculating the area of the wall, we have:

[tex]Area_{rectangle}=base*height\\\\Area_{rectangle}=36inch*30inch=1080inch^{2}[/tex]

For the quilt squares:

Calculating the area of the quilt square, we have:

[tex]Area_{square}=side*side\\\\Area_{square}=3inch*3inch=9inch^{2}[/tex]

Therefore, to calculate how many quilt squares are needed, we need to use the following equation:

[tex]QuitSquaresNeeded=\frac{Area_{rectangle}}{Area_{square}}\\\\QuitSquaresNeeded=\frac{1080inch^{2}}{9inch^{2}}=120[/tex]

Hence, we have that Matt will need 120 quilt squares.

Have a nice day!

Answer:240

Step-by-step explanation:

i got this answer right on my school

Answer:

The volume of the mailbox is [tex]936\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the prism (mailbox) is equal to

[tex]V=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

we have

[tex]B=52\ in^{2}[/tex]

[tex]h=18\ in[/tex]

substitute

[tex]V=52(18)=936\ in^{3}[/tex]

Answer:

1) = 0.175

2) = 0.244

3) = 0.168

Step-by-step explanation:

Experimental, not theoretical, so we use the results table.

1. P(3 n Tails) = 62/(53 + 65 + 49 + 71 + 54 + 62) = 0.175

2. P(Woman n Up) = 39/(36 + 43 + 39 + 42) = 0.244

3. P(Tuna n Wheat Bread) = 23/(22 + 24 + 21 + 22 + 25 + 23) = 0.168

Answer:

ok thanks :)

Step-by-step explanation:

Answer:

Sounds epic

Step-by-step explanation:

Answer:

2. A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. 18

Step-by-step explanation:

2. Flipping a coin and spinning a 4-color spinner.

There are two possible outcomes for the coin: heads or tails (H or T).

There are still 4 possibilities for the spinner: red, blue, green and yellow

Since both are independent, you multiply the possible outcomes of each event, so 2 * 4 = 8 possible outcomes.

To list them all, take each possible outcome on one item (coin or spinner), and match it with all the possible outcomes of the other item.

So answer is  A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red

3. Lunch combinations

You have 2 sandwiches, 3 sides and 3 beverages. How many different lunches can you make picking one of each?

As in the problem above, these possible outcomes are independent (choosing one specific sandwich has no impact on the side or the beverage).

So, to count all the possible outcomes, you just have to multiply the possible outcomes of each item, so

L = 2 sandwiches x 3 sides x 3 beverages = 18 possible lunches

Answer: There would be 190 catfish in all 200 samples in the population.

Step-by-step explanation:

Since we have given that

Number of fish = 6

Mean number of catfish = 5.7

If the number of fish = 200

So, we need to find the proportion to find the number of catfish in the population.

Let the number of catfish in the population be 'x'.

According to question, it becomes,

[tex]\dfrac{6}{5.7}=\dfrac{200}{x}\\\\6x=5.7\times 200\\\\6x=1140\\\\x=\dfrac{1140}{6}\\\\x=190[/tex]

Hence, there would be 190 catfish in all 200 samples in the population.

Answer:

A

Step-by-step explanation:

edge 2021

the answer is b=3a+2 so B

The answer is B hope this helped!