Evaluate the expression 3 •2n when n is 1

The amount of medication in Sameeha's system after she takes her last dose of the medication is (d) 83.20

The function is given as:

f(t) = 0.40t + 50

Where

t0 = 50

This means that:

On day 1, we have:

\(f(50) = 0.40 * 50 + 50\)

\(f(50) = 70\)

On day 2, we have:

\(f(70) = 0.40 * 70 + 50\)

\(f(70) = 78\)

On day 3, we have:

\(f(78) =0.40 * 78 + 50\)

\(f(78) =81.2\)

On day 4, we have:

\(f(81.2) = 0.40 * 81.2 +50\)

\(f(81.2) = 82.48\)

On day 5, we have:

\(f(82.48) = 0.40 * 82.48 + 50\)

\(f(82.48) = 82.99\)

On day 6, we have:

\(f(82.99) = 0.40 * 82.99 + 50\)

\(f(82.99) = 83.20\)

Hence, the amount of medication in Sameeha's system after she takes her last dose of the medication is (d) 83.20

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Answer: Choice A

Explanation:

The phrasing "sum of 8 and 60" means we add those two values. These are placed in the denominator while 50 goes up top.

The correct equation for your test score is 50 divided by the sum of 8 and 60 is,  y = 50 / (8 + 60)

The given condition for write an equation is,

Your test score is 50 divided by the sum of 8 and 60.

Let us assume that, total test score is, y

Hence, It ca be written in mathematical form,

⇒ y = 50 divided by (8 + 60)

⇒ y = 50 ÷ (8 + 60)

⇒ y = 50 / (8 + 60)

Therefore, The correct equation for your test score is 50 divided by the sum of 8 and 60 is,  y = 50 / (8 + 60)

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

(-2,-3)

Step-by-step explanation:

x-axis is -2 and y-axis is -3

Answer:

B:Similar :SAS

Step-by-step explanation:

The Angle-Side (SAS) Similarity Theorem states that  If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

In the given triangles <B=<E= 40 °

Or,

Hence triangle ABC~ Triangle DEF by SAS similarity theorem.

Give brainliest :)

Option B is correct, by SAS postulate the triangles ABC and DEF are similar.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

ABC and DEF  are similar triangle as the corresponding angles are congruent and the corresponding sides are in proportion .

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent.

Hence, by SAS postulate the triangles ABC and DEF are similar.

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We have the following:

solving for x:

The answer is:

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

there is a difference of - 9 between the 3rd and 4th terms. indicating the sequence could be arithmetic , then

a₂ - a₁ = a₃ - a₂ , that is

k - 17 = - 1 - k ( add k to both sides )

2k - 17 = - 1 ( add 17 to both sides )

2k = 16 ( divide both sides by 2 )

k = 8

The sequence is 17, 8, - 1, - 10

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = - 9 , then

\(a_{n}\) = 17 - 9(n - 1) = 17 - 9n + 9 = 26 - 9n

Answer:

0.04

Step-by-step explanation:

Answer:

50 + 75 = 125

Step-by-step explanation:

the functions for the cost of buying x shirts are given as follows:

Custom Ink: C(x) = 6.5x. and T(x) = 608.4 + 6.5x.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.

The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).

For the cost functions in the context of this problem, we have that:

The slope represents the cost per shirt.

The intercept represents the flat fee.

Hence the functions for the cost of buying x shirts are given as follows:

Custom Ink: C(x) = 6.5x.

T(x) = 608.4 + 6.5x.

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The value of function f(x) ⋅ g(x) is,

⇒ x³ + 3x² + 16x - 20

A relation between a set of inputs having one output each is called a function.

We have to given that;

The functions are,

⇒ f (x) = x² + 3x − 4 and g(x) = x + 5.

Hence, The value of function f(x) ⋅ g(x) is,

⇒ f(x) ⋅ g(x) = (x² + 3x − 4) × (x + 5)

                 = x³ + 5x + 3x² + 15x - 4x - 20

                 = x³ + 3x² + 16x - 20

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Answer:

120.8°

Step-by-step explanation:

the total angle sum is of 360 so we add and subtract

35.8+25.4+178= 239.2

360-239.2= 120.8

so the missing angle measure is 120.8°

Answer:

504

Step-by-step explanation:

Therefore , the total mileage penalty you owe is $1,002.56

In algebra, an equation is a well-formed formula that connects two expressions with the equals sign to express the equality of the two terms. For example, in French, an équation is described as comprising one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions connected with the equals sign.

Here,

Given:

a truck with a three-year lease and a 10,000-mile annual mileage cap

32 cents per mile penalty for overages

a) first year you drive 9,295 miles

therefore,

Projected Total Miles= Actual Average Miles per day * Length of Lease

9,125 miles = 25 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles = 0

Projected Lease-end Mileage Charge =Projected Excess Miles * Excess Miles Charge

$0.00 = 0 * $0.32

Therefore first year no excess milage penalty

b)second year you drive   11,040 miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

1040 miles = 11,040 - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$332.8 = 1040 * $0.32

Therefore second year $332.8 excess milage penalty

C)third year you drive  12,093  miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

2093 miles =12,093  - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$669.76= 2093 * $0.32

Therefore second year $669.76 excess milage penalty

Therefore , the total mileage penalty you owe is $669.76 + $332.8=$1,002.56

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By solving a system of equations we will see that she sold 80 phones and 240 accessories.

Let's define the variables:

x = number of phones.

y = number of accessories.

We know that she makes $160 on commissions, and that she sold 3 times as many accessories as phones, so we can write the system of equations:

y = 3x

x*$8 + y*$4 = $160

To solve the system, we can replace the first equation into the second one.

x*$8 + (3x)*$4 = $160

x*$8 + x*$12 = $160

x*$20 =  $160

x  = $160/$20 = 80

She sold 80 phones, and the number of accessories is:

y = 3x

y = 3*80 = 240

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Answer: See the graph below.

Answer: y = 1

there no x, i think you meant y?

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y over 2 = 2 over 2

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

This parabola has a maximum of 10

Step-by-step explanation:

Since the y-value cannot increase past 10, the maximum value of this function would be 10.

What is the maximum of this function?

➪ The maximum is 10.

Answer: $7.80

Step-by-step explanation:

Based on the information given in the question, the expected profit that the farmer makes will be:

= (Probability of edible stocks × Profit) - (Probability of inedible stocks × Loss)

= (95% × $8) - (5% × $4)

= (0.95 × $8) - (0.05 × $4)

= $7.60 + $0.20

= $7.80

Therefore, the expected profit that the farmer makes is $7.80.

Answer:

$7.40/bushel

Step-by-step explanation:

i took the test and got it right

The length of the ray represent size and strength of vector.

The length of the ray that represents a vector is called the magnitude of the vector.

The magnitude of a vector can be calculated using the Pythagorean theorem. For example, the magnitude of a two-dimensional vector (x,y) is the square root of x^2 + y^2. The magnitude of a three-dimensional vector (x,y,z) is the square root of x^2 + y^2 + z^2.

In general, the magnitude of a vector with n dimensions is given by the square root of the sum of the squares of its components. For example, the magnitude of the vector  (a,b,c,d,...,n) is given by the square root of a^2 + b^2 + c^2 + d^2 + … + n^2.

hence the length of ray represent size and strength of vector

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Answer:

907

Step-by-step explanation:

Circumference = 34pi

radius, r = 34pi/2pi = 17

Area, A = pi r^2 = pi (17^2) = 289pi=907 approximately

The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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based on the confidence interval and the hypothesis test, there is evidence to support the alternative hypothesis that μ is not equal to 16.

In hypothesis testing, the significance level (α) is the probability of rejecting the null hypothesis when it is actually true. In this case, the significance level is 0.05, which means that you are willing to accept a 5% chance of making a Type I error, which is rejecting the null hypothesis when it is true.

Since the 95% confidence interval for μ does not include the value of 16, and the null hypothesis assumes μ = 16, we can conclude that the null hypothesis is unlikely to be true. The confidence interval suggests that the true value of μ is between 10 and 15, which does not overlap with the value of 16. Therefore, we have evidence to reject the null hypothesis and accept the alternative hypothesis that μ is not equal to 16.

In conclusion, based on the 95% confidence interval and the hypothesis test, we would reject the null hypothesis H0: μ = 16 and conclude that there is evidence to support the alternative hypothesis H1: μ ≠ 16.

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Answer: Julia avanzará 3,75 pasos

Answer:(−5x3−6x2−5)(−5x2−2x) = 25x5+40x4+12x3+25x2+10x

Step-by-step explanation:

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.