Multiply. Express your answer in simplest form.​

Answer: B

Step-by-step explanation:

The correct answer is A. The function T(t) is continuous because the temperature changes gradually as time increases, with no jumps in between.

In this context, a continuous function means that the temperature changes smoothly and continuously with time, without any abrupt or sudden changes. Since the temperature is expected to change gradually over time, there are no jumps or discontinuities in the function. Option B is incorrect because the temperature being constant would imply that there are no changes at all, which is unlikely for a given day in Chicago.

Option C is incorrect because it states that the temperature changes quickly, implying abrupt changes, which contradicts the expectation of gradual changes mentioned in the problem. Option D is incorrect because it suggests that the temperature varies throughout the night, which is expected and does not indicate discontinuity.

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The correct statenments are:

The circumference of a circle is the sum of the external part of the circle.

The formula for calculating the area of a circle is expressed as:

A = πr²

The formula for calculating the circumference is given as:

C = 2πr

r is the radius of the circle

If radius is 2 units

A = π(2)² = 4π

C= 2π(2) = 4π

The numerical values of the area and circumference are equal when r = 2.

If radius is 1 units  < 2 units

A = π(1)² = π

C= 2π(1) = 2π

The numerical value of the area is less than the numerical value of the circumference when r less-than 2.

If radius is 3 units  > 2 units

A = π(3)² = 9π

C= 2π(3) = 6π

The numerical value of the area is less than the numerical value of the circumference when r greater-than 2.

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Answer:

ABD

Step-by-step explanation:

Answer:

9 million

Step-by-step explanation:

I hope this helps!

The number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that, the approximate number of users has tripled each year and in 2005 there were 3 million users of social media.

The number of users in 2006 = 3 × number of users in 2005]

The number of users in 2006 = 3 × 3 million
The number of users in 2006 = 9 million

The number of users in 2007 = 3 × number of users in 2006

The number of users in 2007 = 3 × 9 million
The number of users in 2007 = 27 million

Thus, the number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.

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Answer:

mashup math on "yt"

Step-by-step explanation:

go there you'll get you answer and more he explained it better then i could have

We are given the following function:

We are asked to determine the codomain of the function. We need to have into account that the range and the codomain are two different but similar concepts.

The range is the values that he functions outputs and the codomain is the set of the possible values of the function.

In this case, we have a function that takes real values and outputs real values, therefore, the codomain is the set of the real numbers, this is written as:

Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

Hi there!

nickels:19

We know that there is only nickels and dimes in his coin collection..

1.Multiply two terms:

\(10\)·\(10=1.00\)

Then there would be 20 nickels but 1+1=2 not 2.05.

2.Multiply the terms:

\(11\)·\(10=1.10\)

\(19\)·\(5=0.95\)

3.Combine the two terms:

\(1.10+0.95=2.05\)

Therefore, there would be 19 nickels...

Answer:

above sea level

Step-by-step explanation:

The system of linear equations: 2x-y=18 & 4x-3y = 16 has no solution.

The system of linear equations has no solution if the equations are inconsistent, meaning that there is no set of values for the variables that satisfies all of the equations simultaneously. One way to check for inconsistency is to try to find the solution by solving for one of the variables in one equation and then substituting it into another equation to see if both equations are satisfied. If the equations yield different values for the same variable, then the system has no solution.

In this case, the system of linear equations:

2x-y=18

4x-3y = 16

Has no solution. We can solve for x in the first equation and then substitute it into the second equation. If the equation yields a different value for y, then the system has no solution.

2x-y=18

2x=y+18

x=y/2 + 9

Now, substituting x into the second equation:

4x-3y=16

4(y/2 + 9) - 3y = 16

2y + 36 - 3y = 16

-y = -20

This result implies that y is not a real number, so the system of equations has no solution.

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Answer:

c

Step-by-step explanation:

well you can see its not negative since your subtractiing negtivees witch is just adding a possivite and 64 is unreasonable

Answer:

A

Step-by-step explanation:

Bruh

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Answer:

3:5 or 3/5

Step-by-step explanation:

We know that there are -->

56 Females

84 Males

We need to find the total amt. of ppl

56 + 84 = 140

Males/140 --> Plug 84 in => 84/140

Since it wants simplified, divide both by 7 as 7 is a factor of both -->

12/20 --> Divide by 4

3/5 => This is the most simplified we can get and -->

thus, our answer is 3:5 or 3/5

Hope this helps!

The Laplace transform of the function \(f(t) = 1 is L{f(t)} = 1/s.\)

To find the Laplace transform of the function f(t) = 1, we will use the definition of the Laplace transform:

L{f(t)} = ∫₀^∞ e^(-st)f(t) dt

where s is a complex number.

For the given function, f(t) = 1 for 0 ≤ t < ∞. This means that the function is constant and equal to 1 for all values of t greater than or equal to 0. Therefore, we can write:

L{f(t)} = ∫₀^∞ e^(-st) dt

To evaluate this integral, we can use the formula:

∫₀^∞ e^(-at) dt = 1/a for a > 0

Applying this formula, we get:

L{f(t)} = ∫₀^∞ e^(-st) dt = [1/(-s)] [e^(-st)]0^∞

= [1/(-s)] [(lim{t→∞} e^(-st)) - e^0]

= [1/(-s)] [(0 - 1)]

= 1/s

Therefore, the Laplace transform of the function f(t) = 1 is L{f(t)} = 1/s.

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Answer:

its 2 hours and 55 minutes long

Step-by-step explanation:

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

m∠ABD + m∠DBC = m∠ABC

ABD added to DBC equals ABC. Put in the given values of each angle to figure out the equation.

76° + 68° = 144°

m∠ABC = 144°

I hope that helped answer your question! :-)

The multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.

To multiply the polynomial 8x³ by the polynomial (x² + 5x - 6) using distribution, we will distribute each term of the first polynomial (8x³) to every term in the second polynomial (x² + 5x - 6).

Here's the step-by-step process:

Distribute 8x³ to each term of (x² + 5x - 6):

8x³ · x² + 8x³ · 5x + 8x³ · (-6)

Multiply each term:

8x³ · x² = 8x³ · x² = 8x⁵

8x³ · 5x = 40x³⁺¹ = 40x⁴

8x³ · (-6) = -48x³

Combine the resulting terms:

8x⁵ + 40x⁴ - 48x³

Therefore, the multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.

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Answer:

6

Step-by-step explanation:

Use Pythagorean Theorem to solve for the missing side:

\(a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6\)

Answer:

x = 2

Step-by-step explanation:

Given

5x - 4 = - 3x + 12 ( add 3x to both sides )

8x - 4 = 12 ( add 4 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

The regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

The correlation coefficient illustrates how closely two variables are related to one another. This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.

Based on the given information, we can use the linear regression model to predict the height of girls at age 18 based on their height at age 2. Here are the summary statistics:

n = 70 (sample size)

x = 87.25 (mean height at age 2 in cm)

y = 166.54 (mean height at age 18 in cm)

R = 0.664 (correlation coefficient)

S = 3.33 (standard deviation of height at age 2 in cm)

\(S_y\) = 6.07 (standard deviation of height at age 18 in cm)

To predict the height of girls at age 18 (y) based on their height at age 2 (x), we can use the regression equation:

y = a + bx

where a is the y-intercept (predicted height at age 18 when x = 0) and b is the slope of the regression line.

From the given information, we have the following values:

x = 87.25

y = 166.54

R = 0.664

Using these values, we can calculate the slope (b) of the regression line:

b = R * (\(S_y\) / S)

 = 0.664 * (6.07 / 3.33)

 ≈ 1.210

Next, we can calculate the y-intercept (a) using the formula:

a = y - b * x

 = 166.54 - 1.210 * 87.25

 ≈ 68.953

Therefore, the regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

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Answer:

C

Step-by-step explanation:

just took the unit test

Graph Y represents the inverse of function f.

In mathematics, the inverse function of a feature f is a function that undoes the operation of f.

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.

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Answer:

f(g(x)) = 2(7 - x) + 1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 7 - x

The question in the picture itself says to find f(g(x)) so i'll find that instead

f(g(x)) = 2(7 - x) + 1

f(g(x)) = 14 - 2x + 1

f(g(x)) = -2x + 15

You can use the Alternate Exterior Angle Theorem to prove that the 2 angles shown on the drawing are congruent to each other.

Answer:

yu

Step-by-step explanation:

Answer: Jim's height is 156 cm, Ian's height is 168 cm, and Lisa's height is 176cm.

Step-by-step explanation:

Jim = x.

Ian = (x + 12)

Lisa = (x + 12 + 8) = (x + 20)

1 months * 2 cm = 12 cm in 6 months

J = (x + 12)

I = (x + 24)

L = (x + 32)

Jim and Ian

Lisa

(x + 12 + x + 24) - (x + 32) = 160

2x + 36 - x - 32 = 160

2x-x     36-32

x      +     4 = 160

             -4    -4

x = 156*

*This is Jim's height as he is the base.

J = 156 cm

I = (x + 12) = 168 cm

L = (x + 20) = 176 cm

Step-by-step explanation:

calculating backwards :

97.2 is the final score.

this was multiplied in the final step by 0.6, so we divide by 0.6 :

97.2 / 0.6 = 162

this is the result of a multiplication by 4 (difficulty factor).

so, we divide this by 4 and get

40.5

so, this is the total sum of the scores (without the highest and lowest scores).

there is one problem with the question : we don't know how many judges there were.

clearly, as the highest possible score of one judge is 10, the score sum of 40.5 tell us that there must have been at least 5 "remaining" judges plus the 2 for highest and lowest scores that were dropped. so, at least 7 judges in total.

normally, there would not be more than 10 judges, so there were between 5 and 8 remaining scores.

if there were 5, then they must have given scores around 8 points (40.5 / 5 ≈ 8).

they could have been e.g.

7.0 8.5 9.0 8.0 8.0

and the dropped scores could have been

6.5 and another 9.0

if there were more judges, then the mean value of the remaining scores was lower.

if there were 10 judges (8 remaining), then we would talk about scores around 5 (40.5 / 8 ≈ 5).

they could have been

4.0 4.5 5.5 6.5 6.0 5.0 5.0 4.0

and the dropped scores could have been

4.0 and 7.0

Answer:

Step-by-step explanation:

y=mx+b

two points from table: (4,24) , (11,66)

m=y2-y1/x2-x1

m=66-24/11-4

m=42/7=6

y=6x+b ( solve for b using (4,24)

24=6(4)+b

b=24-24=0

y=6x

another way to solve:

the relation is proportion

y/x=k

24/4= 66/11=78/13=90/15=6

y=6x