what are the steps to solve -8(p+2)+p=4(p+3)+5

Answer:

(x+6)(x-6)

Step-by-step explanation:

(x+6)(x-6)

The  critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636

The given parameters to help us understand this are

The sample size = 19

The sample mean is 1.4

The sample standard deviation is 0.7

The confidence level = 90% = 0.90

The level of significance  = 0.10

The degree of freedom

Df= n-1

The critical value of t using TINV(0.10.11) is

Critₓ = α/2 d.f

t= (0.5,11) = ±1.76

The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19

Therefore this is equal to 0.76≤μ≤0.04

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The total amount of interest paid along with annual rate is $163.80 at 16.08%.

The annual percentage rate refers to the yearly rated interest which is taken from when the individual takes a loan. It is also considered a measure of the cost of credit or borrowing expense which involves a interest and fees concerning the transaction.

And an annual percentage yield is helpful in the effective annual rate which includes the points of compounding given in that year.

For the given loan of $1000 with a 15% APR compounded monthly,

The evaluated monthly interest rate would be

15%/12 = 1.25%.

The total evaluated amount of interest paid on the course of a year will be $163.80.

The current effective annual rate will be 16.08%.

The total amount of interest paid along with annual rate is $163.80 at 16.08%.

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I'm guessing the equation should read something like

\(7(x^2+y^2) \,dx + 5xy \, dy = 0\)

or possibly with minus signs in place of +.

Multiply both sides by \(\frac1{x^2}\) to get

\(7\left(1 + \dfrac{y^2}{x^2}\right) \, dx + \dfrac{5y}x \, dy = 0\)

Now substitute

\(v = \dfrac yx \implies y = xv \implies dy = x\,dv + v\,dx\)

to transform the equation to

\(7(1+v^2) \, dx + 5v (x\,dv + v\,dx) = 0\)

which simplifies to

\((7 + 12v^2) \, dx + 5xv\,dv = 0\)

The ODE is now separable.

\(\dfrac{5v}{7+12v^2} \, dv = -\dfrac{dx}x\)

Integrate both sides. On the left, substitute

\(w = 7+12v^2 \implies dw = 24v\, dv\)

\(\displaystyle \int \frac{5v}{7+12v^2} \, dv = -\int \frac{dx}x\)

\(\displaystyle \dfrac5{24} \int \frac{dw}w = -\int \frac{dx}x\)

\(\dfrac5{24} \ln|w| = -\ln|x| + C\)

Solve for \(w\).

\(\ln\left|w^{5/24}\right| = \ln\left|\dfrac1x\right| + C\)

\(\exp\left(\ln\left|w^{5/24}\right|\right) = \exp\left(\ln\left|\dfrac1x\right| + C\right)\)

\(w^{5/24} = \dfrac Cx\)

Put this back in terms of \(v\).

\((7+12v^2)^{5/24} = \dfrac Cx\)

Put this back in terms of \(y\).

\(\left(7+12\dfrac{y^2}{x^2}\right)^{5/24} = \dfrac Cx\)

Solve for \(y\).

\(7+12\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}}\)

\(\dfrac{y^2}{x^2} = \dfrac C{x^{24/5}} - \dfrac7{12}\)

\(y^2= \dfrac C{x^{14/5}} - \dfrac{7x^2}{12}\)

\(y = \pm \sqrt{\dfrac C{x^{14/5}} - \dfrac{7x^2}{12}}\)

The main difference between X1 and x1 is that X1 is a random variable and x1 is a specific numerical value.

In mathematics, variables are often used to represent different values, and the difference between uppercase and lowercase letters is often used to distinguish between different types of variables. X1 is a random variable, which represents a value that can take on different values depending on the outcome of an experiment or a probability distribution. x1, on the other hand, is a specific numerical value, which represents a fixed value that is known or can be determined. In short, X1 refers to a variable whose value is uncertain and x1 refers to a specific value of that variable.

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Answer:

20

Step-by-step explanation:

x = price

y = number of keyboard

xy = 540

(x-2)(y+3) = 540

x = 540/y

==> x = 20

==> y = 27

Answer:

35 - n

Step-by-step explanation:

a number n = "n"

less than = "minus or -"

35 = 35

Answer:

a = -30

Step-by-step explanation:

In order to solve for a in the equation \(\sf 11 = \dfrac{-3}{10} a + 2\), we can follow these steps:

Subtract 2 from both sides of the equation:

\(\sf 11 -2= \dfrac{-3}{10} a + 2-2\)

\(\sf 9 = \dfrac{-3}{10} a\)

Multiply both sides of the equation by \(\sf -\dfrac{10}{3}\):

\(\sf 9 *-\dfrac{10}{3}= \dfrac{-3}{10} a*-\dfrac{10}{3}\)

-30 = a

Therefore, the solution to the equation 11 a + 2\(\sf \dfrac{-3}{10} a + 2\) is a = -30.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

set the equation up solving for cosine

cos=adjacent/hypotenuse

cos 70°= 14/x

multiply both sides by x

x (cos 70°)= 14

now to get x by itself divide by cosine 70°

x/cos 70°= 14/ cos 70°

x= 14/ cos 70°

solve for x

x= 14/ .34

x= 41.2

i hope thats right, otherwise it is 22.1

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Hope it helps you.

As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

Since, If there is a coordinate plane with both parallel lines, go with option A.

Therefore, there is no cure.

There are hence a finite number of solutions that could be found.

If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.

According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.

The difference between Option D) and Option B) is noted.

Only choice C) is hence the proper one.

Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

\(A=\frac{bh}{2}\)

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

\(A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2\)

So the area of the base is 24 in²

Answer:

Option C.  356 gidgets

Step-by-step explanation:

we have  R(x) ----> the monthly revenue function  C(x) ---> the monthly cost function  x ----> the number of gidgets sold we know that  Break-even means that the revenue equals cost  so  solve for x

Answer:

the amount of garbage started to increase around 2005 or 2007

Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

An angle is known to be Congruent if its angles do have equal measure."

Note that question, In the said figure of the angles (image attached),

m ∠LOM = m ∠JKI  (congruent angles)              taken as 1      

m ∠MON = m ∠IKH  (congruent angles)             taken as 2  

The one should sum up both the side angle  of m ∠MON in (1) we obtain;

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Then one should replace angle  m ∠MON = m ∠IKH from (eqn. 2)  on right hand side and then it will be:

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      taken as (3)

Then:

m ∠LOM + m ∠MON = m ∠LON  ( M is said to be the interior point of ∠LON)    taken as (4)

Since m ∠JKI + m ∠IKH = m ∠HKJ  ( I is said to be the interior point of ∠HKJ)            taken as number (5)

Using Number (3) , (4) and (5)  in the image attached, we obtained:

m ∠LON = m ∠HKJ  (Congruent angles)

Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

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The total area of the given shape is 71cm².

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.

The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.

Area of rectangle= 7*8= 56 cm²

Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²

Total area of shape = 56+15= 71 cm²

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The question is an illustration of sequence and pattern

The cell entries that complete the table are 0.08 and 400

The table entries are given as:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4

From Avi's rule, we can see that:

The new elements are generated by multiplying the current element by 2.

So, the entry that fills the missing blank in Avi's rule is:

\(Avi = 2 * 0.04\)

\(Avi = 0.08\)

From Benita's rule, we can see that:

The new elements are generated by adding 100 to the current element.

So, the entry that fills the missing blank in Benita's rule is:

\(Benita = 100 + 300\)

\(Benita = 400\)

So, the complete table is:

Day     Avi's rule      Benita's rule

1             0.01              100

2            0.02             200

3            0.04            300

4            0.08           400

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Answer:

Step-by-step explanation:

2x - y > 4 ⇒ y < 2x - 4

x + y < - 1 ⇒ y < - x - 1

Answer:

option D or Graph D

Step-by-step explanation:

Answer:

Q10. Nucleus

Q11. Plant cell

Hope it helps.

Answer:

D. 4,-1

Step-by-step explanation:

The mathmatical way to solev it is to find the linear equation and plug in the points, but i just looked at the graph to see which point was in the shaded region.

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:

https://youtu.be/4yp5v64XuRc

Step-by-step explanation:

This is a very good video on to do it, it's hard to explain just typing it on here. I'm sorry.

Answer: 131

Step-by-step explanation:

Answer:

Look at my photo to see where to graph this:

Do you see? your going to click - 5 and make it go horizontal

Answer:

 V = 706.86 cubic centimeters       \((225\pi )\)

Step-by-step explanation:

\(V=\pi r^{2} h=\pi( \frac{10}{2} )^{2} (9)=225\pi =706.86\)

Hope this helps

Answer:

V = 225 π  cm³

Step-by-step explanation:

V of a cylinder = π · r² · h

r is the radius, yet in the picture is given the diameter.

We know that d= 10 cm and that the radius is half of it so r = 5

h is the height of the cylinder and in the picture is given to be 9 cm

because we are asked to find the exact value we will live pi as a symbol π, rather then change it into a number that will not be exact

V = π · 5² · 9

V = π ·25·9

V = 225 π  cm³

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

Answer:

10

Step-by-step explanation:

10 is divisible on dividing by 2 and 5

Answer:

If you wanted to know how much songs Maxwell will have to play to pay the fee to play there, ($50 dollars)  he will have to play 5 songs.

Step-by-step explanation:

The question to the awnser is how much can 10 go into 50. That means you have to divide 50 by 10. You can put 10 5 times into 50, and you can make sure of that by timing 10 by 5. I have no idea though what you need. Sorry if im saying somthing different than wht you want.