PLEASE HELP ASAP!!!!!!!
What is
\((x+7)^5\)

Answer:

(4, 18)

Step-by-step explanation:

(5 + 3)/2 = 8/2 = 4

(21 + 15)/2 = 36/2 = 18

Answer: (4, 18)

Answer:

(4, 18)

Step-by-step explanation:

(5 + 3)/2 = 4

(21 + 15)/2 = 18

Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

Step-by-step explanation:

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

Random sampling is the method of selecting the subset from the set to make a statical inference.

Utilizing two six-sided number solid shapes, each named with the numbers 1 through 6.

The number of the total events will be given as,

Total events = 6²

Total events = 6 x 6

Total events = 36

The total sample is given below.

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

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Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.

Because two lines are parallel if the have the same slope, we concluded that the slope of the parallel to y=4/7x-2 is m = 4/7.

Let \(P(t) = 240.480 / (1 + 39e^(-0.3t))\) = \(2401 + 39e^(-0.3t)\) = \(248e^(-0.3t)\)= 8.Taking the natural logarithm of both sides, we obtain:\(ln e^(-0.3t) = ln (8)\),\(t = (-1/0.3) ln(8)\).We get:t = 7.9 to one decimal point.

Here we are required to find the time at which the number of infected students will be 240. We are given a function which models the number of students infected with the flu on a college campus after t days. The function is given by

\(P(t) = 480 / (1 + 39e^(-0.3t)).\).

To determine the time at which P(t) = 240, we substitute this value of P(t) into the function. That is:

\(240 = 480 / (1 + 39e^(-0.3t))\)

Multiplying both sides of the equation by \((1 + 39e^(-0.3t))\), we get:

\(240(1 + 39e^(-0.3t)) = 480\)

Distributing the left-hand side, we obtain:

\(240 + 936e^(-0.3t) = 480\)

Subtracting 240 from both sides, we get:

\(936e^(-0.3t) = 240\)

Simplifying this expression by dividing both sides by 936, we obtain:

\(e^(-0.3t) = 0.2564\)

Taking the natural logarithm of both sides, we obtain:

\(ln e^(-0.3t) = ln (0.2564)\)

\(ln e^(-0.3t) = -0.3t\\\\ln (0.2564) = -0.3t\)

Dividing both sides by -0.3, we obtain:

\(t = (-1/0.3) ln (0.2564)\)

Simplifying this expression, we obtain:

t ≈ 8 days

Therefore, the number of infected students will be 240 after approximately 8 days.the number of infected students on a college campus after t days is given by \(P(t) = 480 / (1 + 39e^(-0.3t)).\) To determine the time at which the number of infected students will be 240, we substitute this value into the function and solve for t. We obtain t ≈ 8 days.

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The option that is not a valid way of starting the process of factoring 72x^2 + 511x + 49 is E. Applying the difference of squares.

To determine which option is not a valid way of starting the process of factoring the quadratic expression 72x^2 + 511x + 49, let's examine the given options:

A. Using the quadratic formula: The quadratic formula can be used to find the roots of a quadratic equation, but it is not the first step in factoring a quadratic expression.

B. Factoring out the greatest common factor (GCF): This is a valid approach to start factoring a quadratic expression. We can check if there is a common factor among the terms and factor it out.

C. Trial and error: Trial and error involves trying different factor combinations to find a suitable factoring pattern. This can be a time-consuming method but can eventually lead to the correct factored form.

D. Applying the sum/product method: The sum/product method involves finding two numbers whose sum is equal to the coefficient of the middle term and whose product is equal to the product of the coefficient of the quadratic term and the constant term. This method can be used to find a factoring pattern.

E. Applying the difference of squares: The difference of squares is a specific factoring pattern that applies when we have a quadratic expression in the form of a^2 - b^2. It is not applicable in the given quadratic expression, so it is not a valid way to start the factoring process.

Therefore, the option that is not a valid way of starting the process of factoring 72x^2 + 511x + 49 is E. Applying the difference of squares.

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Answer:

40/6= 6.6667(20/3)

Step-by-step explanation:

I divided the number of days into 6.

Answer:

\(x = 240 days\)

Step-by-step explanation:

If we know that Brad completes 1/6 of his project every 40 days, that means it will take him 40 x 6 days to complete this project. If where to write this down as an equation we get the following.

Let "x" be the total number of days Brad needs to finish his project, then....

\(\frac{1}{6} x = 40 days\)

\((\frac{1}{6} x)(6) = (40)(6)days\)

\(x = 240 days\)

Answer:

The cost over time is a proportional relationship

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Answer:

a.4×10 raised to power minus 5

b.5×10 raised to power minus 5

c.6×10 raised to power minus 6

d.8×10 raised to power minus 10

Answer:

do you mean scientific notation, I think they are already in standard form.

Step-by-step explanation:

A. 4 x 10^-5, count how many zeros before the number 4, and do the same with the rest.

B. 5 x 10^-5

C. 6 x 10^-6

D. 8 x 10^-10

We have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.

Mathematical Induction : For each and every natural number n, mathematical induction is a method of demonstrating a statement, theorem, or formula that is presumed to be true.

It is given that the statement is true for n = k

Explanation:

According to the principle of Mathematical Induction,

Let d(n) be a statement involving Natural Number n such that

d(1) is true

d(m) is true

d(m+1) is true

So ,  the statement d(n) is true for all the n natural numbers.

According to the second principle of Mathematical Induction

Let d(n) be a statement involving Natural number n such that

d(1) is true

d(m) is true when d(n) is true for all n where 1 ≤ n ≤m .

Then the statement d(n) is true for all the values of n ( natural number)

Therefore , we have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.

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Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6

Check the picture below.

\(z+25=(z-27) + (z-11)\implies z+25=2z-38 \\\\\\ 25=z-38\implies \boxed{63=z}\)

The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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The gradient is the slope of the line.

The gradient/slope is the change in Y over the change in X.

(-4 - -5) / (2 - -4)

Simplify:

1/6

The gradient = 1/6

According to a recent survey, nearly half of the respondents cited better pay as their primary reason for changing jobs.

The survey was conducted on a national level and the results indicate that a majority of people are looking to increase their earnings by switching jobs.

Other reasons are:

In conclusion, the survey clearly showed that the main reason for job changes among respondents was better pay. However, various other factors also play a role in an individual's decision to switch jobs, such as working conditions, career paths, and location.

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Answer:They use the process of photosynthesis to transform water, sunlight, and carbon dioxide into oxygen, and simple sugars that the plant uses as fuel. These primary producers form the base of an ecosystem and fuel the next trophic levels

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37      

Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143

Angle 3 measures 143 degrees

the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).

To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:

For the x-bar chart:

Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar

Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar

For the R chart:

Upper Control Limit (UCL) for R = D4 * R-bar

Lower Control Limit (LCL) for R = D3 * R-bar

Where:

x-double-bar = Overall mean of the sample means

R-bar = Overall mean of the sample ranges

A2 = Constant from the control chart constants table

D4 = Constant from the control chart constants table

D3 = Constant from the control chart constants table

For sample sizes of 4, the control chart constants are as follows:

A2 = 0.729

D4 = 2.281

D3 = 0

Given the information you provided:

Overall mean (x-double-bar) = 10.4 minutes

Average range (R-bar) = 0.9 minutes

Let's calculate the control limits:

For the x-bar chart:

UCL for x-bar = 10.4 + 0.729 * 0.9

             = 10.4 + 0.6561

             = 11.0561 minutes

LCL for x-bar = 10.4 - 0.729 * 0.9

             = 10.4 - 0.6561

             = 9.7439 minutes

For the R chart:

UCL for R = 2.281 * 0.9

         = 2.0529 minutes

LCL for R = 0

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This process may lead to a quadratic equation that needs to be solved, resulting in multiple x-values. These x-values will correspond to the points on the graph of y = f(x) where the tangent line passes through (1, -1).

To find the points on the graph of y = f(x) where the tangent line passes through the point (1, -1), we need to find the x-values that satisfy this condition.

First, we need to find the derivative of the function f(x). The derivative of f(x) = 3x^2 - 4x + 3 is f'(x) = 6x - 4.

Now, let's find the slope of the tangent line passing through the point (1, -1). We can use the point-slope form of a line, which is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values (1, -1) into the equation, we get y - (-1) = (6x - 4)(x - 1). Simplifying this equation, we have y + 1 = 6x^2 - 10x - 4.

To find the x-values that satisfy this equation, we can substitute f(x) into y. So, y + 1 = 6(f(x)) - 10x - 4. Substituting f(x) = 3x^2 - 4x + 3, we have y + 1 = 6(3x^2 - 4x + 3) - 10x - 4.

Now, we can simplify the equation and solve for x to find the x-values for which the tangent line passes through (1, -1).

This process may lead to a quadratic equation that needs to be solved, resulting in multiple x-values. These x-values will correspond to the points on the graph of y = f(x) where the tangent line passes through (1, -1).

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Statement

∠1 = ∠2

Reason(1): l║m, Corresponding angles are congruent

Reason(2): Corresponding angles are congruent (Postulate)

Hope this can help

We have to prove how j||k?

Hence

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

△PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

So, to prove that △PQR ≅ △STU:

So, with these three conditions, △PQR ≅ △STU is under ASA condition.

Therefore, △PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

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Answer:

\(A\approx1608.7\text{ yards}^2\)

Step-by-step explanation:

We can use the alternate formula for the area of a triangle:

\(A=\frac{1}{2}ab\sin(C)\)

Where a and b are the side lengths, and C is the angle between the side lengths.

We know that one side length is 60 and the other is 70.

The angle between them is 50°.

So, substitute 60 for a, 70 for b, and 50° for C. This yields:

\(A=\frac{1}{2}(60)(70)\sin(50)\)

Evaluate using a calculator. Make sure you’re in Degrees Mode.

Therefore, the approximate area is:

\(A\approx1608.7\text{ yards}^2\)

One would expect log₃ 20 to be between 2 and 3. None of the options provided is correct.

To determine between which two integer values we would expect to find log₃ 20, we can use the fact that logarithms represent the exponent to which the base must be raised to obtain the given value.

In this case, we want to find the exponent to which 3 must be raised to obtain 20. So, we are looking for an integer value x such that 3^x = 20.

We can approximate this value by calculating the logarithm of 20 to the base 3:

log₃ 20 ≈ 2.7268

Since the base is 3, the value of the logarithm will increase as the exponent increases. Therefore, we would expect log₃ 20 to be between 2 and 3.

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The number of visits that Alang makes to earn a free movie ticket will be 8.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Alang has a rewards card at a cinema.

The mere act of joining up earns him 55 reward points.

Every time he enters a movie theater, he receives 3.5 points.

To receive a free movie ticket, he needs 83 points.

Let x be the number of visits. Then the equation is given as,

3.5x + 55 = 83

Simplify the equation, then the value of x will be

3.5x = 83 - 55

3.5x = 28

x = 28 / 3.5

x = 8

The number of visits that Alang makes to earn a free movie ticket will be 8.

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Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

Total would be $158.07

To calculate slaes tax and total cost, take the price (151.99) and multiply by tax rate, then add them together.

4%= .04

So Price (151.99) times tax(.04) would be 6.0796.

We're not finished, because that is just the tax.

Add them together, 151.99+6.0796 = 158.0696

Round to the nearest cent, so $158.07

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what are the answer choices?

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let's check all the options, then we have

A. S/3 + 10

If S = 15, then we have

⇒ 15 / 3 + 10

⇒ 5 + 10

⇒ 15

B. S/2 + 10

If S = 15, then we have

⇒ 15 / 2 + 10

⇒ 10 + 10

⇒ 20

C. S + 10

If S = 15, then we have

⇒ 15 + 10

⇒ 15 + 10

⇒ 25

D. - S/3 + 10

If S = 15, then we have

⇒ -15 / 3 + 10

⇒ -5 + 10

⇒ 5

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

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The missing options are given below.

A. S/3 + 10

B. S/2 + 10

C. S + 10

D. - S/3 + 10

Answer:

(4,6) lies in first quadrants

(-3,2) lies in second quadrants

Step-by-step explanation:

(4,6) lies in first quadrants because in first quadrants both x-axis and Y-axis are positive

(-3,2) lies in second quadrants because in second quadrants x-axis is negative and Y-axis is positive