A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.​

Step-by-step explanation:

The unrounded answer is CS = 42.998

Hope this helps

Answer:

1200

Step-by-step explanation:

i=prt

=80,000*0.02*9/12

=1200

Answer:

5

Step-by-step explanation:

When your taking f(x) of any x value, you would look at the x value and find it in the table under the x and then look to the right and right the number that corresponds with it

Answer:

hzusgshsbsuwgwuvzuv5bdjdbejeb5bdjdbrbd

the answer to your question. is c

Answer:

Here you go

Step-by-step explanation:

The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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Step-by-step explanation:

it says f(-4).

so, x = -4.

into what function segment is this "falling" ?

well, into the x < 3 segment, right ? because -4 < 3.

so, we need to use

f(x) = x² - 5

f(-4) = (-4)² - 5 = 16 - 5 = 11

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The perimeter of ΔPRT.

= RP + PT + RT

The perimeter of ΔPRT is 120 m

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

We will apply the Pythagorean theorem to ΔPRT

PT² = RP² + RT²

PT² = 900 + 1600

PT² = 2500

PT = 50

Now,

The perimeter of ΔPRT.

= RP + PT + RT

= 30 + 50 + 40

= 120 m

Thus,

The perimeter of ΔPRT is 120 m

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

a. 40%

b. 7.5%

Step-by-step explanation:

a. 60/ 150 x 100

b. 4.5/ 60 x 100

Answer:

=3x-3=7, x=10/3

Step-by-step explanation:

Answer:sorry

Step-by-step explanation:

I really need points

Answer:

I would hire Jacob.

Step-by-step explanation:

Jacob is trying to sound more impressive knowing that Edward has more cords per hour. The writers of the question wouldn't say "trying to SOUND more impressive" if Jacob actually WAS more impressive. But maybe that's what they want you to think. If you take the 5 cords of Edward and divide it by the eight hours that it takes him to do you will notice he has an average of 0.625 cords per hour. And if you take a look at Jacob's average you immediately notice that he has an average of ABOVE 1. Jacob has an average of 1.62 cords per hour. Therefor Jacob is more efficient in this category of work. That's why I would hire Jacob.

Answer: 9.95

Step-by-step explanation:

in similar trapezoids a rearranged formula can be used to solve for the missing base:

\(c^{2} =ab\)  ⇒ \(c=\sqrt{ab}\)

a = the top of the trapezoid

b= the base of the trapezoid

c = the missing base

\(c=\sqrt{(9)(11)}\)

\(c = 9.949\)

Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

The number of students who earned A's in English only is 24.

Given,Number of students who earned A's in:

English = 45

Maths = 49

Science = 53

Number of students who earned A's in exactly two of the subjects:

English and Maths = 8

English and Science = 12

Maths and Science = 18

Number of students who earned A's in all three subjects = 17

We need to find the number of students who earned A's in English only.

Let's solve this step by step.

A Venn diagram can be used to represent the given information.

The given information can be represented as follows:Three circles representing English, Maths, and Science respectively.

Total number of students who earned an A in English = 45.

This value includes the students who earned an A in English only and those who earned A's in English in combination with other subjects. Hence, we need to subtract the number of students who earned an A in English in combination with other subjects.

Total number of students who earned A's in exactly two subjects = 8 + 12 + 18 = 38.

However, this value includes those who earned an A in all three subjects. Thus, we need to subtract 17 from this value to get the total number of students who earned an A in exactly two subjects but not in all three subjects.

Number of students who earned an A in English only = Total number of students who earned an A in English – (Total number of students who earned an A in exactly two subjects but not in all three subjects + Total number of students who earned an A in all three subjects)

Number of students who earned an A in English only = 45 – (38 - 17)

Number of students who earned an A in English only = 24

Therefore, the number of students who earned A's in English only is 24.

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Our standard linear slope equation is:

mx + b = y

We're told our slope is 1/2, so that's our m value.

When x = 0 our value is 5. If you need this visualized, then:

1/2 * 0 +b = 5

0 + b = 5

b = 5

So our equation looks like:

x/2 + 5 = y

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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(b)To solve the differential equation, we have to find the roots of the characteristic equation. So, the characteristic equation of the given differential equation is: r² + r = 0. Therefore, we have the roots r1 = 0 and r2 = -1. Now, we can write the general solution of the differential equation using these roots as: y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. To find these constants, we need to use the initial conditions given in the question. y(0) = 1, so we have: y(0) = c₁ + c₂e⁰ = c₁ + c₂ = 1. This is the first equation we have. Similarly, y'(t) = -c₂e⁻ᵗ, so y'(0) = -c₂ = 0, as given in the question. This is the second equation we have.

Solving these two equations, we get: c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is: y(t) = 1. (c)Now, we can use the result obtained in part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We can rewrite the given differential equation as: y" = 2t - y'. Substituting the general solution of y(t) in this equation, we get: y"(t) = -e⁻ᵗ, y'(t) = -e⁻ᵗ, and y(t) = 1. Therefore, we have: -e⁻ᵗ = 2t - (-e⁻ᵗ), or 2e⁻ᵗ = 2t, or e⁻ᵗ = t. Hence, y(t) = 1 + c³, where c³ = -e⁰ = -1. Therefore, the solution of the initial value problem is: y(t) = 1 - t.

Part (b) of the given question has been solved in the first paragraph. We have found the roots of the characteristic equation r² + r = 0 as r₁ = 0 and r₂ = -1. Then we have written the general solution of the differential equation using these roots as y(t) = c₁ + c₂e⁻ᵗ, where c₁ and c₂ are constants. We have then used the initial conditions given in the question to find these constants.

Solving two equations, we got c₁ = 1 and c₂ = 0. Hence, the general solution of the differential equation is y(t) = 1.In part (c) of the question, we have used the result obtained from part (b) to solve the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0. We have rewritten the given differential equation as y" = 2t - y' and then substituted the general solution of y(t) in this equation. Then we have found that e⁻ᵗ = t, which implies that y(t) = 1 - t. Therefore, the solution of the initial value problem is y(t) = 1 - t.

So, in conclusion, we have solved the differential equation y" + y' = 2t and the initial value problem y" + y' = 2t with y(0) = 1 and y'(0) = 0.

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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The price per cup is $0.97.

The usual operators for math: the unary - (negation) and the binary + (addition), - (subtraction), * (multiplication), and / (division) They all work with actual numbers.

Given cost of  2-quart carton of frozen yogurt is $7.76,

1 cup = 0.25 quart

2 quart  = 8 cup

1 cup = (2 quart)/8

1 cup = 7.76/8

1 cup = $0.97

Hence the price of frozen yogurt per cup is $0.97.

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The measure of the third angle of the isosceles triangle is θ = 154°

Given data ,

In an isosceles triangle, two sides are of equal length, and thus two base angles are also of equal measure.

Given that the two base angles of the isosceles triangle are both 13 degrees, we can denote one of the base angles as 13 degrees, and the other base angle as 13 degrees as well.

Let's denote the measure of the third angle as "x" degrees

The sum of angles in any triangle is always 180 degrees.

So , 13 + 13 + x = 180

Simplifying the equation:

26 + x = 180

Subtracting 26 from both sides of the equation:

x = 180 - 26

x = 154°

Hence , the measure of the third angle in the isosceles triangle is 154°

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The greatest integer m for which n 10 m is an integer is 15.

In essence, we must determine how many zeros N contains.

Because N must include m zeroes if m is the largest integer for which \(\frac{N}{10x^{m} }\) is an integer.

The sum of the multiples of 10 between 199 and 301 is equal to the sum of the multiples of 10 between 200 and 300, inclusive.

= \(\frac{(300 - 200)}{10+1}\)

= \(\frac{100}{10+1}\)

= 10 + 1

= 11

As an alternative, we may alternatively list the multiples of 10 in this area.:

200, 210, 220, 230, 240, 250, 260, 270, 280, 290, and 300 --->

∴ 11 multiples of 10

At the end of N, there will be one zero for each of these 11 multiples of 10.

200 and 300 each have one more zero in them -->

∴ 2 more zeroes at the end of N

250 has two 5s in it and there are plenty of 2s to make two more zeroes (as 5×2 = 10) --->

∴ 2 more zeroes at the end of N

Therefore, the total number of zeroes at the end of N

= (11 + 2 + 2)

= 15

Hence 15 is the greatest integer m for which n 10 m is an integer.

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Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

To determine which repayment option allows Ms. Carlton to pay the smallest amount of interest, we need to calculate the total amount of interest paid for each option.

For Option 1, the total amount paid over the 3-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $95.00 x 36

Total payment = $3,420.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,420.00 - $2,500.00

Total interest = $920.00

For Option 2, the total amount paid over the 2-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $127.00 x 24

Total payment = $3,048.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,048.00 - $2,500.00

Total interest = $548.00

Therefore, Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

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Answer:

add the like terms if there's no like the answer will be 3x+2y-3z=-1

Answer:

Step-by-step explanation:

We can set equations for each as below

Khan's current score is 750 and is rising 8 points per week:

Jorman's current score is 650 but is growing by 28 points each week:

Since the scores are going to be same, K = J, make the equations same and solve for x:

The scores will be same after 5 weeks and:

The probability of the restaurant buying at least two non-defective units from the shipment of 9 microwaves containing 3 defective units can be calculated by summing the probabilities of buying exactly two non-defective units and buying all three non-defective units.

To calculate the probability of the restaurant buying at least two non-defective units from the shipment, we need to consider the different scenarios that satisfy this condition.

There are two possible cases:

Case 1: The restaurant buys exactly two non-defective units.

To calculate this probability, we can use the hypergeometric distribution formula. The probability of selecting two non-defective units from the shipment can be calculated as:

P(2 non-defective units) = (C(6, 2) * C(3, 1)) / C(9, 3)

Here, C(n, r) represents the number of combinations of n items taken r at a time.

Case 2: The restaurant buys all three non-defective units.

The probability of selecting all three non-defective units can be calculated as:

P(3 non-defective units) = C(6, 3) / C(9, 3)

To find the probability of the restaurant buying at least two non-defective units, we need to calculate the probability for each case and add them together:

P(at least 2 non-defective units) = P(2 non-defective units) + P(3 non-defective units)

Note: In both cases, the numerator represents the number of ways to choose non-defective units, and the denominator represents the total number of ways to choose units from the shipment.

By calculating the probabilities for each case and summing them, you can determine the probability of the restaurant buying at least two non-defective units from the shipment.

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In order to find the value of the expression, first let's calculate the operations inside the parenthesis:

Then, calculating the exponential expression and after that the product, we have:

So the final value is 112.

Answer:

i d k

Step-by-step explanation:

look it up