Write an equation in slope- intercept for of each line

Answer:

He buys 9 cans of tomatoes

Step-by-step explanation:

He buys a total of 9 cans of tomatoes while he buys 27 cans of corn for a total of 36 cans.

9 x 0.80 = 7.20

27 x 0.40 = 10.80

for a total of 36 of cans and a total of $18

The expression represents the time she spent driving is       \(\frac{228.95}{x}\)

The expression represent the time she spent driving can be calculated as follows:

We know that

Time = \(\frac{distance}{ speed}\)

Let x be her speed on the first half of the trip.

Then for first half , the tiime she takes is

T1= \(\frac{150}{x}\)

while in a second half the time taken by her is

T2= \(\frac{150}{1.9x}\)

T2= \(\frac{78.95}{x}\)

the total time she spent on driving is

T1 + T2 =    \(\frac{150}{x}\) + \(\frac{78.95}{x}\) =    \(\frac{228.95}{x}\)

Hence, the expression represents the time she spent driving is       \(\frac{228.95}{x}\)

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The variance formula is straightforward to calculate, and it can be calculated using a calculator or spreadsheet software. While using a computer, the use of Excel spreadsheets is widespread in finance for variance and standard deviation computations.

Variance is a measure of the squared deviations of a security's return from its expected return, and standard deviation is the square root of variance. The computation of variance doesn't always require the use of a computer.The variance is the most frequently used measure of risk in finance. The security's returns' variability from its expected return is the measure of the variance.

It's computed by taking the deviations from the anticipated return and then squaring them. A larger variance means a larger risk level. Variance is used in a number of calculations in finance, including the calculation of the covariance matrix.

The standard deviation is the square root of variance. It's a measure of the spread of a data collection. It's frequently used to assess the amount of risk associated with investing. When the security's prices fluctuate more from its anticipated price, the standard deviation is greater. The standard deviation is the most frequently used risk measure in finance.

Variance computation may be done using a computer. However, manual computations are still possible. The variance formula is straightforward to calculate, and it can be calculated using a calculator or spreadsheet software. While using a computer, the use of Excel spreadsheets is widespread in finance for variance and standard deviation computations.

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Total distance is calculated as = [75/2 - 40] - [0 - 0] (for 3t ≥ 8)

To find the displacement of the particle, we need to calculate the change in position from the initial time to the final time.

(a) Displacement (Δx) can be found by integrating the velocity function over the given time interval:

Δx = ∫[v(t)dt] from

t = 0 to

t = 5

Substituting the given velocity function v(t) = 3t - 8:

Δx = ∫[(3t - 8)dt] from 0 to 5

Integrating with respect to t:

Δx = [(3/2)t^2 - 8t] from 0 to 5

Evaluating the definite integral:

\(\Delta x = [(3/2)(5)^2 - 8(5)] - [(3/2)(0)^2 - 8(0)]\)

= [(3/2)(25) - 40] - [0 - 0]

= [75/2 - 40]

= 75/2 - 80/2

= -5/2

Therefore, the displacement of the particle is -5/2 meters.

(b) To find the total distance traveled by the particle, we need to consider both the positive and negative displacements. We can calculate the total distance by integrating the absolute value of the velocity function over the given time interval:

Total distance = ∫[|v(t)|dt] from t = 0 to t = 5

Substituting the given velocity function v(t) = 3t - 8:

Total distance = ∫[|3t - 8|dt] from 0 to 5

Breaking the integral into two parts, considering the positive and negative values separately:

Total distance = ∫[(3t - 8)dt] from 0 to 5 (for 3t - 8 ≥ 0) + ∫[-(3t - 8)dt]

from 0 to 5 (for 3t - 8 < 0)

Simplifying the integral limits based on the conditions:

Total distance = ∫[(3t - 8)dt] from 0 to 5 (for 3t ≥ 8) + ∫[-(3t - 8)dt] from 0 to 5 (for 3t < 8)

Integrating the positive and negative cases separately:

Total distance = [(3/2)t^2 - 8t] from 0 to 5 (for 3t ≥ 8) + [-(3/2)t^2 + 8t] from 0 to 5 (for 3t < 8)

Evaluating the definite integrals:

Total distance = [(3/2)(5)^2 - 8(5)] - [(3/2)(0)^2 - 8(0)] (for 3t ≥ 8) + [-(3/2)(5)^2 + 8(5)] - [-(3/2)(0)^2 + 8(0)] (for 3t < 8)

Simplifying the expressions:

Total distance = [(3/2)(25) - 40] - [0 - 0] (for 3t ≥ 8) + [-(3/2)(25) + 40] - [0 - 0] (for 3t < 8)

Total distance = [75/2 - 40] - [0 - 0] (for 3t ≥ 8)

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1,005.44

Pir^2h

3.142*8*8*5

1,005.44

To multiply two square roots with the same index, you can multiply the integers outside the radical together and then multiply the radicands (the numbers inside the radicals) together. Afterward, simplify the radical expression if possible.

For example, let's consider the expression √3 * √5. To multiply these two square roots, we multiply the integers outside the radicals, which is 1 * 1 = 1. Then, we multiply the radicands together, which is 3 * 5 = 15.

Therefore, √3 * √5 simplifies to 1√15, or simply √15.

In general, when multiplying two square roots with the same index, you can follow these steps:
1. Multiply the integers outside the radicals.
2. Multiply the radicands together.
3. Simplify the radical expression if possible.

It's important to note that this method only works for square roots with the same index. If the indices differ, you cannot directly multiply the radicals together.

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The definition of math is the overall group of sciences that study numbers, shapes and their relationships. An example of math is arithmetic, the study of addition, subtraction, multiplication and division. ... (uncountable, North America) Arithmetic calculations; (see do the math).

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Based on the information, we can infer that the area of this trapezoid is 192 in² (option D).

To calculate the area of the trapezoid it is necessary to know the length of the bases and the height. Once we know these data we can complete the following formula to find the area:

A = 1/2 (b1 + b2) h

b1 = length of the lower base

b2 = length of the upper base

h = height

So, we just have to plug in the values to find the area of this trapezoid.

A = 1/2 (18in + 14in) 12in

A = 192in²

Based on the above, the area of this trapezoid would be 192 in² (option D).

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Answer:

70

Step-by-step explanation:

u dint give me the hight but i guess its around 7 so i might be 70

Answer:

4,812,489

Step-by-step explanation:

Answer:

408,12,489

Step-by-step explanation:

hope it helped you

Answer:

Associative property of addition

Step-by-step explanation:

This is because the associative property of addition states that changing the grouping of addens does not change the sum. In other words, if you rearrange the sums of a expression, the result should remain the same.

Answer:

associatice property of addition

Step-by-step explanation:

Answer:

45.5 ft^2

Step-by-step explanation:

The area of the garden is (7 ft) by (13 ft), which works out to 91 ft^2.

The half garden used for cucumbers is (91 ft^2)/2, or 45.5 ft^2.

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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Answer:

part A; B and Part B;  pencils

Step-by-step explanation:

you want to find out how many pens and pencils you cn buy with that 90$ so you want to do

.75y+.15x=90

pens=50

pencils=50

but you want to add .75+.15 which = .90

then you divide 90/.90

and that equals 100

then split it up and each gets 50

The algebraic expression that represents the number of packages Robin can prepare in h hours is 75h.

The unknown is the number of packages Robin can prepare in h hours.

The information being given is that Robin has a pick rate of 75 items per hour.

To represent the number of packages Robin can prepare in h hours, we can use the algebraic expression:

Number of packages = Pick rate x Hours

Substituting the given values, we get:

Number of packages = 75 x h

Therefore, the algebraic expression that represents the number of packages Robin can prepare in h hours is 75h.

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Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Using the compound interest formula;

where p is the principal

r is the rate

t is the time

n is the number of time it is compounded

P = $2500

r = 0.065

n = 1

t = 2

substitute into the formula

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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Answer:

42.1 degrees

Step-by-step explanation:

- since we have a opposite/hypotenuse ratio, that means we used sin x = o/h

- this means, sin x = 0.67

so, x = \(sin^{-1\)(0.67)  {sin inverse}

x = 42.06 degrees, i rounded it up to 42.1 but its up to you (or according to the question)

Answer:

x=-1

Step-by-step explanation:

Divide both sides by 6 you should get x-2=-3

then move the 3 infront of the 2 and make this - into this + so it should be x= -3+2

and then you get x=-1

The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).

To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.

This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.

Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.

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Answer:

24 students are in the class

Step-by-step explanation:

Let x represent the total number of students in the class. We have the equation:

(2/3)x = 16

x = 24 students

So, there are 24 students in the class.

Answer:

24 students

Step-by-step explanation:

16/2=8

8*3=24

Answer:

A) 0.81; D. 0.79 ; E) 0.88

Step-by-step explanation:

This question is asking whether an event in more likely to occur than a different event. So we are looking for every event that is more likely occur, or in other words, greater than 0.78. The only 3 events that are greater than 0.78 are 0.81, 0.79, and 0.88.

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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Answer:

  26 square units

Step-by-step explanation:

Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².