C 3 A molten ingot of metal cooled off 300 degrees in 40 minutes. What is the average change in temperature during this time? A. -81 degrees per minute B. -73 degrees per minute C. -61 degrees per minute D. 61 degrees per minute

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

Graph a

Step-by-step explanation:

the slope is proportional to the data

Graph A depicts the situation described above. Thus, option A is correct.  

The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.

The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.

If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.

Therefore, option A is the correct option.

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A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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The parameters for the uniform distribution should be of a = 10 and b = 20.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

In this problem, a contractor has estimated that the minimum number of days to remodel a bathroom for a client is 10 days, hence the lower bound is of a = 10.

He also estimates that 80% of similar jobs are completed within 18 days, hene P(X < 18) = 0.8, thus the upper bound is given by:

\(P(X < x) = \frac{x - a}{b - a}\)

\(0.8 = \frac{18 - 10}{b - 10}\)

\(0.8b - 8 = 8\)

\(0.8b = 16\)

\(b = \frac{16}{0.8}\)

\(b = 20\)

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For Critters and Co is 7.5,  Little Paws is 8.75 and Wagging rail is 8.5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For Critters and Co

(2, 15) and (4, 30)

m=15/2=7.5

Now let us find y intercept

15=15/2(2)+b

b=0

The equation is y=15/2x

For Little Paws

m=52.5-35/6-4

m=17.5/2=8.75

Now let us find y intercept

35=17.5/2(4)+b

35=35+b

b=0

y=17.5/2x is the equation for  Little Paws

For Wagging rail

y=8.5x

Hence, For Critters and Co is 7.5,  Little Paws is 8.75 and Wagging rail is 8.5

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The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.

Let 'a' is the leading coefficient and 'b' is the factor.

The exponent is given as,

y = a(b)ˣ

Some points regarding the exponent function:

The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.

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Answer:

16 new releases and 22 classic movies.

Answer: B. 2(x - 3)(x - 4)

Step-by-step explanation:

Answer:

Step-by-step explanation

Area of a triangle

      A = ½bh

dA/dt = ½(b(dh/dt) + h(db/dt)

dA/dt = ½(4(9) + 12(-5))

dA/dt = ½(36 - 60)

dA/dt = ½(-24)

dA/dt = -12 cm²/s

The rate of change of the area of the triangle is \(-12 cm^2/s\).

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.

A shape's area can be calculated by contrasting it with squares of a known size.

\(\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s\)

\(\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s\)

\(\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )\)

\(\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s\)

Hence, The rate of change of the area of the triangle is \(-12 cm^2/s\).

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Answer:

y = 3/5x + 4/5 (1st Option)

Step-by-step explanation:

Step 1: Write known variables

m = 3/5

y = 3/5x + b

Step 2: Find b

-1 = 3/5(-3) + b

-1 = -9/5 + b

b = 4/5

Step 3: Rewrite equation

y = 3/5x + 4/5

Answer:

in short it's y = 3/5x + 4/5

good luck!

-Rainbow Dash

Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

Answer:

can you show me the graph?

Step-by-step explanation:

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

y = (5/7)x + (75/7)

Step-by-step explanation:

If you ever find yourself in a math class where you have to write the equation of a line that goes through a certain point and has a certain slope, don't panic. There is a simple formula that can help you out. It's called the point-slope form and it looks like this:

y - y1 = m (x - x1)

It may look scary, but it's actually pretty easy to use. All you have to do is plug in the values that you know and solve for the ones that you don't. For example, let's say you have a line that passes through the point (-1, 10) and has a slope of 5/7. You can use the point-slope form to write the equation of the line like this:

y - 10 = (5/7) (x - (-1))

See? That wasn't so bad. Now you can simplify the equation by distributing the 5/7 and adding 10 to both sides. You get:

y = (5/7)x + (75/7)

And that's it! You have written the equation of the line in slope-intercept form, which is another way of writing the equation of a line. You can check your answer by plugging in the values of x and y from the original point and seeing if they make the equation true. If they do, you're good to go. If not, you made a mistake somewhere and you should go back and fix it.

Congratulations! You have learned how to use the point-slope form to write the equation of a line. Now you can impress your math teacher and your friends with your skills.  Remember, with great power comes great responsibility.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

9.5÷0.25=38

So she can feed 38 students.

Answer:

A

Step-by-step explanation:

Because the cost per pie is less.

Multiply miles per day by number of days

5.5 x 1.75 = 9.625

answer: A. 9.625 miles

The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

To solve this problem, we can use the binomial probability formula, which is:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)

where:

n is the sample size (number of workers being interviewed)

k is the number of successes we are interested in (in this case, 2 of the workers being union members)

p is the probability of success (in this case, the probability that a worker is a union member)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))

Plugging in the values, we get:

\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)

\(= (6) * (0.96)^2 * (0.04)^2\)

= 0.04403136

Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.

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(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer:

I'm not really sure but I want to say A) 3/20

Answer:

Step-by-step explanation:

for 5 it is the blues

Answer:

D is the answer

Step-by-step explanation:

Answer:

7.50

Step-by-step explanation:

7.50

Answer:

Triangle KLM

Step-by-step explanation:

The measurements of the sides of triangle KLM and ABC match up

Answer:

the answer is MLK because MLK and ABC are the same size

Answer:

Answer:

=423=423

Solution

Converting to a mixed number using long division with remainders for 14 ÷ 3.

14÷3=4R214÷3=4R2

Therefore:

143=423

Answer:

First, we need to convert the mixed fractions to improper fractions. You do this by multiplying each integer by the appropriate form of

1

and then adding the result to the fraction portion of the mixed fraction.

(

(

6

6

⋅

3

)

+

5

6

)

−

(

(

6

6

⋅

1

)

+

1

6

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(

18

6

+

5

6

)

−

(

6

6

+

1

6

)

23

6

−

7

6

23

−

7

6

16

6

2

×

8

2

×

3

2

×

8

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8

3

Step-by-step explanation:

Good wala morning

Answer:

Quarters: 10

Dimes: 8

Step-by-step explanation:

Constraints

value: 0.25q + 0.10d = 3.30

count: q + d = 18

q = 18 - d

0.25(18-d) + 0.10d = 3.30

4.50-0.25d+0.10d = 3.30

4.50-0.15d = 3.30

-0.15d = -1.20

d = 8

q + d = 18

q + 8 = 18

q = 10

Check:

0.25(10) + 0.10(8) = 3.30

2.5+ 0.80 = 3.30

3.30 = 3.30

Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

We are 95% confident that the true population proportion is between 71.6% and 80.4%

The 95% confidence interval for the proportion of all U.S. grown people who would include those  on their list of 10 historic events can be constructed using the formula:

Where:

\(pi\) = sample proportion (76%)

SE = standard error (square root of \(pi(1-pi)/n\))

z = the critical value for a 95% confidence level (1.96)

n = sample size (2025)

Plugging in the values, we get:

\(SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)\)

The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.

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