The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year, this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively. Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q

Answer:

n=-5

Step-by-step explanation:

Let "n" represent the unknown number.

So, the equation asks for 4n and two more, or +2, that is all equal to -18.

So, your equation will be:

[tex]4n+2=-18[/tex]

First, subtract 2 from both sides:

[tex]4n+2-2=-18-2\\4n=-20[/tex]

Then, divide both sides by 4:

[tex]\frac{4n}{4}=\frac{-20}{4}\\n=-5[/tex]

Therefore, n=-5.

Answer:

(-2.5, -10)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Plug in

x = (-2 + -3)/2

y = (-8 + -12)/2

Step 2: Evaluate

x = -5/2

y = -20/2 = -10

Step 3: Format into coordinates

(-5/2, -10)

Step 4: Convert to decimal

(-2.5, -10)

Answer:

For example, suppose we weigh five children. ... 5. ∑ i=1 xi. = x1 + x2 + x3 + x4 + x5. = 10 + 12 + 14 + 8 + 11. = 55. ... We also use sigma notation in the following way: 4 ... j2 = 12 + 22 + 32 + 42 = 30.

Missing: 17 ‎| Must include: 17Summary measures for this data set are ... 17 18. 19 20. Observedresult. 0. 1. 0. 1. 1. 0. 1. 0. 1. 1. Total so far. 4. 5. 5. 6 ... 5. 10. 15. 20. 25. 30. 35. 40 . Toss. Figure S2.1 Proportion P, 40 tosses of a coin.

Series is defined as sum of sequences. The sum of the sequence given is 96

Series is defined as sum of sequences

Given the sequence below

19,30,20,10,17

The given su notation denotes the sum of the first five terms of the sequence.

Take the sum

Sum = 19+30+20+10+17

Sum = 96

Hence the sum of the sequence given is 96

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Answer:

7000

Step-by-step explanation:

1000x7

Answer:

7000

Step-b7y-step explanation:

The expected profit of the man from the horse race is $22,400.

Given data:

To find the man's expected profit, calculate the probability of each outcome and multiply it by the corresponding profit.

To determine the probability of each outcome based on the given information:

Probability of winning both races = 0.30 * 0.40

Probability of winning both races = 0.12

Probability of winning one race = 0.30 * 0.60 + 0.70 * 0.40

Probability of winning one race = 0.46

Probability of losing both races = 0.70 * 0.60

Probability of losing both races = 0.42

Next, calculate the expected profit for each outcome:

Profit from winning both races = $90,000 - $20,000

Profit from winning both races = $70,000

Profit from winning one race = $55,000 - $20,000

Profit from winning one race = $35,000

Profit from losing both races = $15,000 - $20,000

Profit from losing both races = -$5,000 (a loss of $5,000)

Now, determine the man's expected profit by multiplying the probability of each outcome by the corresponding profit and summing them up:

Expected profit = (0.12 * $70,000) + (0.46 * $35,000) + (0.42 * -$5,000)

Expected profit = $8,400 + $16,100 - $2,100

Expected profit = $22,400

Hence, the man's expected profit is $22,400

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Answer:

Length = 10 cm

Width = 10-2 = 8 cm

Step-by-step explanation:

Area formula (L)(W)

80 = 10(x-2)

80 = 10x - 20

Add 20 to both side

100 = 10x

x= 10

Length = 10 cm

Width = 10-2 = 8 cm

Answer:

157,517,715,751,571.Therefore,5 more passwords can be formed

Answer:

w = 13

if you have any questions just ask!

Answer:

Option B

Step-by-step explanation:

Option A

This is g(f(x)) since the first step is same  f(x) and the second step is g(x)

Option B

This is f(g(x)) since the first step is g(x) and the second one f(x)

This option is better as 10% discount is applied to full price and final price is less.

Answer:

it would be the second one cause i picked it and it was right

Step-by-step explanation:

Answer:

- reflecting over x -axis

Step-by-step explanation:

Given equation

[tex]$ h(x) = 12x^8 +49 $[/tex]

Now, [tex]$ h(-x) = 12(-x)^8 +49 $[/tex]

                   = [tex]$ - 12x^8 +49 $[/tex]

Therefore, h(x) ≠ h(-x) ≠ -h(-x)

So, the function is neither odd nor even.

Therefore, reflecting the equation over x - axis would result a function that in neither even nor odd.

Answer:

Reflecting over x axis

Answer:

Below

Step-by-step explanation:

You can use it if you added a hight.

When you a hight you are creating a right triangle. If not you cannot use directly

Answer:

Yes

Step-by-step explanation:

If you mean just sine in general, then yes, it can be used with other triangles.

If you mean  [tex]sin=\frac{opposite}{hypotenuse}[/tex] , then there has to be a right triangle. But in other cases, sine is used to find missing sides as well as angles in triangles that are not right-angled.

Answer:

length= 65 inches

width= 45 inches

Step-by-step explanation:

65 plus 65= 130

45 plus 45= 90

130 plus 90= 220 in.

Answer:

Step-by-step explanation:

Plot the point (4, -1) in the 4th Quadrant.

The slope (-3/4) tells us what to do next:

With your pencil point initially on (4, -1), move it 4 units to the right, to (8, -1).

With your point initially on (8, -10, move it down 3 units, to (8, -4).  Plot (darken) (8, -4).

Draw a line through (4, -1) AND (8, -4)

The equation of a line for the given slope and the coordinate point is 4y=-3x+8.

Given that, the line with the slope -3/4 passes through the point (4,-1).

We need to find the line of equations.

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Now, substitute m=-3/4 and the point (4,-1) in y = mx + b and find the value of b.

That is, -1 = -3/4 (4)+b

⇒b=2

Then the equation becomes y=-3/4 x+2

⇒4y=-3x+8

Therefore, the equation of a line for the given slope and the coordinate point is 4y=-3x+8.

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Answer:

2.56p

Step-by-step explanation

Because the variable is the same for every input, and are all addition, you can just all them all together. You must remember p = 1p

Hope this helps!

-The Business Man

Answer:

2.26p

Step-by-step explanation:

0.7p + p + 0.56 p (The coefficient is 1)

0.7p + 1p + 0.56p (Collect the like terms)

(0.7 + 1 + 0.56)p

Calculate the sum

And this brings you to your answer: 2.26p

Answer:

It is a rectangle

Answer:

(-4, -7)

Step-by-step explanation:

reflection over the y-axis means the x-value becomes the opposite (+ → - or - → +)

(4, -7) → (-4, -7)

Answer:

(-4, -7)

Step-by-step explanation:

Answer: 6,799

Step-by-step explanation:

Answer:

A.    [tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]

B.    [tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]

Step-by-step explanation:

Given that:

An investment of  Amount = $8000

earns  at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A)  Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

[tex]A = Pe^{rt}[/tex]

where;

[tex]A = (8000) \ e ^{0.7t}[/tex]

The instantaneous rate of change = [tex]\dfrac{dA}{dt}[/tex]

[tex]\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )[/tex]

[tex]= 8000 \dfrac{d}{dt}e^{0.07 \ t}[/tex]

[tex]\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}[/tex]

[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]

At t = 2 years; the instantaneous rate of change is:

[tex]\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}[/tex]

[tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

[tex]12000 = (8000)e^{0.07 \ t}[/tex]

[tex]\dfrac{12000 }{8000}= e^{0.07 \ t}[/tex]

[tex]1.5= e^{0.07 \ t}[/tex]

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]

At t = 5.79

[tex]\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}[/tex]

[tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]

The area of a surface between a plane and a cylinder is evaluated using the integral [tex]\int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex]. So, the area of the given surface is [tex]\frac{4\pi}{3}\sqrt{14}[/tex]

Given that

[tex]x + 2y + 3z =1[/tex]

[tex]x^2 + y^2 = 4[/tex]

Make z the subject in [tex]x + 2y + 3z =1[/tex]

[tex]3z = 1 - x - 2y[/tex]

[tex]z = \frac{1}{3}(1 - x - 2y)[/tex]

The surface area is calculated using the formula:

[tex]Area = \int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex]

Where: [tex]dA = rdr \times d\theta[/tex]

[tex]z = \frac{1}{3}(1 - x - 2y)[/tex]

Calculate [tex]\frac{dz}{dx}[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(0 - 1 - 2 \times 0)[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(0 - 1 - 0)[/tex]

[tex]\frac{dz}{dx}= \frac{1}{3}(- 1)[/tex]

[tex]\frac{dz}{dx}= -\frac{1}{3}[/tex]

Calculate [tex]\frac{dz}{dy}[/tex]

[tex]\frac{dz}{dy}= \frac{1}{3}(0 - 0 - 2 \times 1)[/tex]

[tex]\frac{dz}{dy}= \frac{1}{3}(- 2)[/tex]

[tex]\frac{dz}{dy}= -\frac{2}{3}[/tex]

Because the plane is inside [tex]x^2 + y^2 = 4[/tex], then the region of z is:

[tex]D = \{(r,\theta) | 0 \le r \le \sqrt{4}, 0 \le \theta \le 2\theta\}[/tex]

[tex]D = \{(r,\theta) | 0 \le r \le 2, 0 \le \theta \le 2\theta\}[/tex]

[tex]Area = \int\limits \int\limits^{}_D {\sqrt{(\frac{dz}{dx})^2 + (\frac{dz}{dy})^2 + 1} } \, dA[/tex] becomes

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{(\frac{-1}{3})^2 + (\frac{-2}{3})^2 + 1} } \, dA[/tex]

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{1}{9} + \frac{4}{9} + 1} } \, dA[/tex]

Take LCM

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{1+4+9}{9}} } \, dA[/tex]

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\sqrt{\frac{14}{9}} } \, dA[/tex]

Evaluate the square root of 9

[tex]Area = \int\limits^{2\pi}_0 \int\limits^{2}_0 {\frac{\sqrt{14}}{3} } \, dA[/tex]

Remove the constant

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 \int\limits^{2}_0 { dA}[/tex]

Recall that: [tex]dA = rdr \times d\theta[/tex]

So, we have:

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 \int\limits^{2}_0 { rdr \times d\theta}[/tex]

Integrate

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{r^2}{2} |\limits^{2}_0 \ d\theta}[/tex]

Expand

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{2^2 - 0^2}{2} \ d\theta}[/tex]

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { \frac{4}{2} \ d\theta}[/tex]

[tex]Area = \frac{\sqrt{14}}{3}\int\limits^{2\pi}_0 { 2 \ d\theta}[/tex]

Integrate

[tex]Area = \frac{\sqrt{14}}{3}[2\pi]|\limits^{2\pi}_0[/tex]

Expand

[tex]Area = \frac{\sqrt{14}}{3}[2 \times 2\pi - 0][/tex]

[tex]Area = \frac{\sqrt{14}}{3}[4\pi - 0][/tex]

[tex]Area = \frac{\sqrt{14}}{3}[4\pi][/tex]

[tex]Area = \frac{4\pi}{3}\sqrt{14}[/tex]

Hence, the area of the surface is: [tex]\frac{4\pi}{3}\sqrt{14}[/tex]

Read more about the area of a surface between a plane and a cylinder at:

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Answer:

Hello! I hope I am correct!

Step-by-step explanation:

Answer:

4x 10^5

Make it into decimal

Decimal form:4.00000

Now count the zeros in 4.00000

There is 5 zeros and 4 (4 is the first number)

Formula: Ax10^{B}

Answer: 4x10^{5}

That’s how you get your answer.

Hope this helps!

By: BrainlyAnime

Answer:

[tex]\Huge \boxed{15}[/tex]

Step-by-step explanation:

[tex]((2+3) \times 3) \div 5(2+3)[/tex]

Solving the brackets.

[tex](5 \times 3) \div 5(5)[/tex]

[tex]15 \div 5(5)[/tex]

Dividing and simplifying.

[tex]3(5)[/tex]

[tex]15[/tex]

Answer:

15

Step-by-step explanation:

   (2 + 3) * 3

= --------------- x (2 + 3)

       5

   5 * 3

= -------- x  5

       5

= 15

Answer:

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.

Answer:

30

Step-by-step explanation:

Appreciates means increases.

Appreciation formula:

Future value = starting value x (1 + interest rate) ^ time.

Future value = 32,500(1+0.049)^11

Value in 11 years = $55,006.46

Answer:

8500 ft²

Step-by-step explanation:

First we need to find the area of the non shaded region within this shaded region. To find the area of this non shaded rectangle, use the formula base×height.

20×100=2000 ft².

Now we need to find the height and width of the shaded region which is,

25+25+20=70 Height

25+25+100=150 Width

mutiply these numbers 150×70=10500 ft²

Now we just need to subtract that inside area.

10500-2000=8500 ft²

Answer:

15

Step-by-step explanation:

i just know

Answer:

15

Step-by-step explanation:

just took the quiz

Answer: Ivan has created 6 sculptures.

Step-by-step explanation:

If Ivan creates 1 sculpture for every 5 paintings and he makes 30 paintings.

30 divided by 5 =6

30 being the total

5 being how much for one

6, the answer, being for the total amount of sculptures.

Answer:

Sum: 10.5 Arithmetic mean (Simple Average):1.5 Median: 1.6 Range: 0.7 Variance: 0.09 Standard Deviation: 0.09 =0.29

The answer is 0.29

hope this helped