whats is the cost of electricity to run personal computer

5/25 = 6.8/x

5x = 170

x = 34

5/25 = 12.3/x

5x = 307.5

x = 61.5

34(61.5) = 2091 m2

hope it helps :)

Answer:

200 cupcakes

Step-by-step explanation:

We have, 84% × x = 168

or,  

84/100  × x = 168

Multiplying both sides by 100 and dividing both sides by 84,

we have x = 168 ×  100/84

x = 200

If you are using a calculator, simply enter 168×100÷84, which will give you the answer.

Answer:

200

Step-by-step explanation:

168 is 84/100 of the total cupcakes. You just need to divide by 84 and the multiply by 100. So:

168÷84=2

2×100=200

Answer:

b is correct

Step-by-step explanation:

Answer:

51°

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

Answer:

24%

Step-by-step explanation:

we subtract to see how much it increased

62-50=12

Now divide 12 by 50 to get percent

12/50

0.24

0.24x100

24%

Hopes this helps please mark brainliest

Answer:

2×3×5 = 30

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step-by-step explanation:

2×3×5 = 6×5=30

the first 3 prime numbers are 2, 3 and 5

a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

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The measure of the arc of the circular basin of the fountain that will be in the photograph is; 111°

Now, To answer this question, we need to understand the angle of intersecting secant theorem which state that;

If two lines intersect outside a circle, then the measure of the angle formed by the two lines is half of the positive difference of the measures of the intercepted arcs.

Thus;

θ = 1/2 (x₂ - x₁)

Where:

x₂ is large angle

x₁ is small angle

θ is measure of the Angle formed by the two lines

Now, we are given θ = 69°

Now the measure of the arc of the circular basin will be the smaller angle x₁.

However, the sum of the large and small angle is 360° and so large angle is 360 - x₁.

Thus;

69 = 1/2(360 - x - x)

2 × 69 = 360 - 2x

138 = 360 - 2x

360 - 138 = 2x

2x = 222

x = 222/2

x = 111°

Thus, The measure of the arc of the circular basin of the fountain that will be in the photograph is; 111°

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Answer:

Trapezium or trapezoid

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Answer:

Given the equations, I plotted 2 lines.

Line 1               Line 2

 x  |  y                x  |  y  

 0  | 101             0  |  -5

  1  |  101             1  |  -6

Answer:

0.08 miles in 1 minute

Step-by-step explanation:

You want to find the unit rate, so divide 1/2 by 6 to find her speed in miles per minute.

(1/2)/6= approx. 0.08

Therefore, assuming Kelly is running at a constant speed the entire time, she ran about 0.08 miles in 1 minute.

Hope this helps!

Answer:

If there are 3,461 teachers and 28 students per teacher, to find the total number of students, you can multiply the number of teachers by the number of students per teacher:

3,461 teachers * 28 students/teacher = 97,268 students

So there are 97,268 students in the district.

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:

Step-by-step explanation:

QS bisects PR.

⇒ PS ≅ RS

1.PQ ≅ RQ                       Given

2. PS ≅ RS                       QS bisects PR

3. QS ≅ QS                      Reflexive property

ΔPSQ ≅ΔRSQ                 SSS congruent

Answer:

Since the cost of producing one cell phone is $46, the cost of producing 10 cell phones is 10 times the cost of producing one, which is:

10 x $46 = $460Similarly, the cost of producing 20 cell phones is 20 times the cost of producing one, which is:

20 x $46 = $920Therefore, the cost to produce y cell phones is:

y x $46 = $46yTherefore, the correct answer is A. 46y.

Answer:

5/6

Step-by-step explanation:

Write the prime factorization:

210 = 2×3×5×7

252 = 2²×3²×7

Therefore:

210/252

= (2×3×5×7) / (2²×3²×7)

= (5) / (2×3)

= 5/6

Answer:

50

Step-by-step explanation:

Bruh

The equation based on the information is:

34 = x - 18

In mathematics, an equation is an expression that states that two expressions are equal by joining them with the equal sign =. Equations and their cousins ​​in other languages ​​may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English any well-formed expression consisting of two expressions joined by an equal sign is an equation. To solve an equation involving variables, it is necessary to determine which values ​​of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values ​​of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values ​​of the variable. A constraint expression applies only to specific values ​​of a variable.

Given that :

Bella is baking 34 cookie for the holiday party tonight. She baked 18 before leaving for school and will bake the ret when he return home.

Therefore, the equation is:

34 = x - 18

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\( \frac{x}{4} = - 12 \: \: multiply \: \: both \: \: sides \: \\ \\ 4 \times \frac{x}{4} = 4 \times ( - 12) \: \: reduce \: \: and \: \: multiply \: \\ \\ = x = - 48 \\ \\ hope \: \: it \: \: helps\)

the only critical point of the system is (0,0).

To write the given nonlinear second-order differential equation as a plane autonomous system, we need to introduce a new variable. Let's define y = x', then we have:

x" = y' = -5x - y^2

Therefore, the plane autonomous system is:

x' = y

y' = -5x - y^2

To find the critical points of the system, we need to solve the system of equations:

x' = y = 0

y' = -5x - y^2 = 0

From the first equation, we have y = 0. Substituting y = 0 into the second equation, we have:

-5x - 0^2 = 0

x = 0

what is critical point?

In mathematics, a critical point is a point in the domain of a function where the function is either not differentiable or the derivative is equal to zero. In other words, critical points are the points where the function may have a maximum, minimum or a point of inflection. They are important in calculus, optimization, and other areas of mathematics.

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Answer:

He needs to read 14 pages on Thursday to finish the book

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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Answer:

See attached

Step-by-step explanation:

The proof is in the attached image

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

61 gallons

Step-by-step explanation:

16 cups per gallon: 976 cups/16 cups= 61 gallons

Answer:

61 gallons

Step-by-step explanation:

if you converted 976 cups to gallons, you would have 61 gallons.

P.S. your calculator should have volume calculations on it.

the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Answer:

5,000

Step-by-step explanation:

1,267 + 3,894 = 5161

Answer:

A resonable estimate could be 5,000.

Step-by-step explanation:

I would say that because you can round 1,267 to 1,000 and 3,894 to 4,000. So 1,000 + 4,000 is 5,000.

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