what is the minimum and maximum value in the domain?

what is the minimum and maximum value in the range?

Answer:

Solution is 4/9

Explanation:

A box contains:

2 red marbles,

3 white marbles,

4 green marbles,

1  blue marble.

=> Total:  2 + 3 + 4 + 1 = 10

After selected a blue one without replacement, the remaining number: 10 - 1 = 9

=> Probability of drawing a green one: P = 4/9.

Hope this helps!

:)

5x and 55 are complementary angles.

Complementary angles are two angles whose sum is exactly 90, therefore:

The maximum amount that Alex can afford to borrow is $116,160. Therefore, option C is the correct answer.

The maximum amount Alex can borrow depends on his debt-to-income (DTI) ratio. This ratio is calculated by dividing the total amount of debt payments he has in a month (including the loan he is considering) by his gross monthly income.

For example, if Alex has monthly debt payments of $800 and a gross monthly income of $4840, his DTI ratio would be 16.67% ($800/$4840).

Assuming a maximum DTI ratio of 40%, Alex can afford to borrow up to $19,360 ($4840 x 40%) per month. This translates to a maximum loan amount of $116,160.

Therefore, option C is the correct answer.

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Answer:

ΔACB ≅ ΔQPR ( SAS congruence )

Step-by-step explanation:

What is SAS congruence ?

Two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the other triangle, according to the SAS (Side Angle Side) rule.

In triangle ΔACB and ΔQPR

                    AC  =     PQ  ( equal sides )

                 ∠ACB  =   ∠QPR ( equal angles between the sides )

                    BC  =   RP      ( equal sides )

Hence         ΔACB ≅ ΔQPR ( SAS congruence )

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Answer:

reflection over the y-axis

Step-by-step explanation:

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

Y-intercept = -4

Slope = 2/3

Answer:

y-intercept = -4; slope = 2/3

Step-by-step explanation:

The graph crosses the y-axis at -4, so the y-intercept is -4.

Now we use the y-intercept and the x-intercept to find the slope.

Start at the y-intercept which is point (0, -4). Go up 4 units until you reach the x-axis. Going vertically up is a positive rise of 4 units. Now go right until you reach the x-intercept which is point (6, 0). Going 6 units to the right is a positive run of 6 units.

slope = rise/run

slope = 4/6 = 2/3

Answer: y-intercept = -4; slope = 2/3

Using the future value formula, the future value of periodic deposits or payments of $105 for 42 periods at 2% is $6,810.53.

The future value formula for a present value investment is as follows:

FV = PV(1+r)^n

FV = future value

PV = present value

r = annual interest rate

n = number of periods interest held

However, if there is periodic investments or payments, the future value can be determined using the following formula:

FV = PMT [((1 + r)^n - 1) / r]

FV = 105 [((1 + 0.02)^42 - 1) / 0.02]

= $6,810.53

We can also use an online finance calculator to determine the future value as follows:

N (# of periods) = 42

I/Y (Interest per year) = 2% (0.02)

PV (Present Value) = $0

PMT (Periodic Payment) = $105

Results:

FV = $-6,810.53

Sum of all periodic payments = $4,410.00

Total Interest = $2,400.53

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Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

Answer:

A share of ABC stock was worth $60 in 2005 and only worth $45 in 2010. ... diftolence b. Write an exponential function that ...

Explanation:

Each equation asks for x . So let's solve it in a way so that at the end remains x = ,then the rest equation.

So first one,

1. a(x+b)=c

ax + ab = c

ax = c - ab

x = (c - ab ) / a

Now we can write that in two ways:

i. We already got the answer for the 2nd blank which is c - ab / a

ii. If we rearrange it so that there is a minus sign, it would be like: c/a  - b

Try solving the rest 3 by your self to make sure you understood them. Then scroll down to match the answers.

2. 8(x + a) = b

8x + 8a = b

8x = b - 8a

x = (b-8a)/ 8

First blank for 2nd equation: x = b/8  - a

Second blank: x = b - 8a  /  8

3. a(x - 9) = b

ax - 9a = b

ax = b + 9a

x = (b + 9a) / a

First blank for 3rd equation: x = b/a + 9

Second blank: x = b+9a  /  a

4. c(2 + x ) = 7

2c + cx = 7

cx = 7 - 2c

x = (7 - 2c) / c

First blank for 4th equation: x = 7/c  - 2

Second blank: x = 7 - 2c  / c

Do let me know if it's correct! <3

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.

Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

The measure of the size of angle ACB to the nearest degree is 35.94°.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

In the given triangle ABC, AB=8 cm, AC=5 cm and ∠BAC = 70°.

Now, sin70°/8=sinC/5

⇒ 0.9397/8 =sinC/5

⇒ sinC/5=0.1174

⇒ sinC=0.5873

⇒ C=35.94°

Therefore, the measure of the size of angle ACB to the nearest degree is 35.94°.

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Answer:

1.55 = Toni(2)

1.56 = Morgan(1)

1.53 = Pat (3)

Step-by-step explanation:

Is it most to least because that is what i did?

Answer:

A function is a mathematical device that converts one value to another in a known way. ... The set of allowable inputs to a given function is called the domain of the function. The set of possible outputs is called the range of the function.

Step-by-step explanation:

Hopefully this was mindfull

The input set of a function is called the "Domain" of the function.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For any function, the values which we are putting form a set of intervals called domain.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Hence "The input set of a function is called the "Domain" of the function".

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Step-by-step explanation:

gatau gua gabisa bahasa inggris

Answer:

It is B

Step-by-step explanation:

No explanation

Answer:

B (1,2)

Step-by-step explanation:

unit price= the amount of money for one item

(in this case "one item" means one oz)

therefore,

just go to the graph, and find the one oz mark. then, look at the price that matches that. for this problem, 1 oz is 2 dollars.

Answer:

1.50

Step-by-step explanation:

Answer:

\(\huge\boxed{\$ \ 1.725}\)

Step-by-step explanation:

Costing Price = $ 11.50

Tax = 15% of $11.50 :

=> \(\sf \frac{15}{100} * 11.50\)

=> \(\sf 0.15 * 11.50\)

=> $1.725

So, Sales tax is $1.725

Answer:

sdas

Step-by-step explanation:

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

A) 3.94

B) 12.40

Step-by-step explanation:

Refer to the work image. You also need the radius to calculate A and B.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer: \(66.42^{\circ}\)

Step-by-step explanation:

Given

Length of the ladder is \(L=15\ ft\)

Bottom of the ladder is \(6\ ft\) away from the side of the house.

Suppose, ladder is leaning against the wall with angle of elevation \(\theta\)

from the figure, we can write

\(\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}\)

Thus, the angle of elevation is \(66.42^{\circ}\)