Write the equivalent expression to (5x – 3x?) – (5x – 2) · (10x + 7x) in standard form

The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²

A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

Thus, we can express the area of its base in terms of its volume as:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]

Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²

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Answer:

3V/h units^2

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(-2)^2=4 because a negative number squared is always positive

-(2)^2=-4

John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.

John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.

Some of the most popular and important postulates of John Locke were:

Learn more about John Locke in: https://brainly.com/question/13346823

Answer:

Answer is 6

Step-by-step explanation:

See it is equilateral so AB=AC=BC

Now we are given values of AB and AC, but they are equal so,

Hope it helps

BYE

 Answer:

The common difference equals:

[tex]-3[/tex]

The sum of the sequence equals:

[tex]62[/tex]

The explicit formula of this sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The recursive formula of this sequence is:

[tex]a_n=a_((n-1))-3[/tex]

The nth terms:

[tex]20,17,14,11,8,5,2...[/tex]

Step-by-step explanation:

An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.

Find the common difference by subtracting any term in the sequence from the term that comes after it.

[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]

The difference of the sequence is constant and equals the difference between two consecutive terms.

[tex]d=-3[/tex]

Calculate the sum of the sequence using the sum formula:

Formula

[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]

Plug in terms

[tex]Sum=(4*(a_1+a_n))/2[/tex]

[tex]Sum=(4*(20+a_n))/2[/tex]

[tex]Sum=(4*(20+11))/2[/tex]

Simplify the expression

[tex]Sum=(4*(20+11))/2[/tex]

[tex]Sum=(4*31)/2[/tex]

[tex]Sum=124/2[/tex]

[tex]Sum=62[/tex]

The sum of this sequence is [tex]62[/tex].

This series corresponds to the following straight line [tex]y=-3x+20[/tex]

The formula for expressing arithmetic sequences in their explicit form is:

Formula: [tex]a_n=a_1+(n-1)*d[/tex]

Plug in the terms.

[tex]a_1=20[/tex] (this is the 1st term)

[tex]d=-3[/tex] (this is the common difference)

[tex]a_n[/tex]  (this is the nth term)

[tex]n[/tex] (this is the term position)

The explicit form of this arithmetic sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The formula for expressing arithmetic sequences in their recursive form is:

Formula: [tex]a_n=a_((1-n))+d[/tex]

Plug in the d term.

[tex]d=-3[/tex](this is the common difference)

The recursive form of this arithmetic sequence is:

[tex]a_n=a_((n-1))-3[/tex]

[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]

[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]

[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]

[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]

[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]

[tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]

Terms and topics:

Answer:

418122 seconds

Step-by-step explanation:

First divide 400,500 by 50. That is 8010.

Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR

6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

Answer:

Step-by-step explanation:

Remark

There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.

Area of enclosed rectangle

Area = L * w

L = 26    in

w =  15   in

Area = 26 * 15

Area = 390    square inches.

Find the area of the triangle on the right.

Area = 1/2 * b * h

base = 26 inches

height = 15 - 6 = 9

This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.

Substitute values into the formula

Area = 1/2 * 26 * 9

Area = 117 square inches.

Find the area of the top and bottom triangles.

These 2 triangles are the same sort of thing only the base requres a bit of manipulation

height = 15 inches

base = (26 - 14)/2

base = 12/2

base = 6

Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.

Find the area of one of the triangles.

Area = 1/2 * b * h

Area = 1/2 * 6 * 15

Area = 45 square inches

Find the area of both triangles.

Area of triangles at the top and bottom = 2*45 = 90

Finally find the area of the shaded area.

Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.

Area shaded area = 390 - 45 - 45 - 117 = 183

Answer: Area shaded region = 183 square inches.

Answer:

29 is the correct answer because subtract 90 from 61 we get 29

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.

So, we would have to subtract 61 from 90 to find the missing value.

90 - 61 = 29

Therefore, x equals 29°

-kiniwih426

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

Answer:

Histogram (Please tell me if you disagree, Have a great day:)

Answer:

A. Late payments have a negative effect on a person's credit score.

Step-by-step explanation:

Hope this Helps!

Answer:

A late payments have a negative effect on a persons credit score

Step-by-step explanation:

A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.

Answer:

its 17

Step-by-step explanation:

do 2 step Equation

Answer:

The Answer is 3 1/2 or C

Step-by-step explanation:

2+1=3

1/6+2/6=3/6

3/6 = 1/2

3 + 1/2 = 3 1/2

Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

Answer:

Procedure 6.3. 1:Finding Roots of a Complex Number

Express both z and w in polar form z=reiθ,w=seiϕ. ...

Solve the following two equations: rn=s. ...

The solutions to rn=s are given by r=n√s.

The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. ...

Using the solutions r,θ to the equations given in (6.3.

Step-by-step explanation:

Answer:-1.79229446 + 3.57598665 i

Step-by-step explanation:

I will honest this how much I can help you

Hey there,

f(x) = 4x + 2

what value of x makes f(x) = -14?

x = -4 ✅

f(x) = 4x + 2

>> We want f(x) to be equal to -14:

4x + 2 = -14

>> Substract 2 from both sides :

4x + 2 - 2 = -14 - 2

4x = -16

>> Divide both sides by 4:

4x/4 = -16/4

x = -4

✅

Have a good day ;)

Answer:

x = -4

Step-by-step explanation:

Given:

If the value of f(x) is -14,

⇒ 4x + 2 = -14                                                                       [f(x) = 4x - 2 and -14]

To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.

Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.

Thus, -4 is the value of x that makes f(x) equivalent to -14

14.8

____________________________________________________

[tex]14.8[/tex]

I hope this helps you

:)

Answer:

You can divided 74 by 5. 5 fits into 7 once so you subtract 5 and you are left with 2. Then bring down the 4 and you have 24. 5 fits into 24 only 4 times so you would subtract 20 from 24 and be left with 4. Then add a decimal point and a 0. Bring down the 0 and you'll have 40. 5 fits into 40 exactly 8 times so 40 - 40 = 0. The answer is 14.8

Step-by-step explanation:

Answer:

(x,y)=(-3,-7)

Step-by-step explanation:

step 1

y=2x-1

y=3x+2

=

2x-1=3x+2

Answer:

180°

Step-by-step explanation:

The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.

If you rotate it once by 90°, it will look completely different.

However, if you rotate it again by 90°, it looks identical to the original.

90° + 90° = 180°

Answer:

1/2,1,2,4,8 in order

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]

The function can be simplified to:

[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.

Recall:

[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]

Next, substitute given x-values in:

[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]

Therefore, the solution is 1/2,1,2,4,8

Answer:

39.9

Step-by-step explanation:

Pls give brainlest if correct.

   *Answer*:39.9

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:   Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27  

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:   Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.

Therefore, the answer is C. 39.9

~NatLikesAnime

#LearningWithBrainly

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Answer:

she spent 5,536 more dollars π

Step-by-step explanation:

10,535 - 4,999= 5,536

thats how much more money it cost than the stove.

Answer:

Step-by-step explanation:

The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.

A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.

The circumference is defined as the boundary length of any circular shape.

Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm

Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.

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#SPJ5

Answer:

A) 4mn

Step-by-step explanation:

2m × 2n = 4mn

I hope this helps!

Answer:

1 5/8 inches

Step-by-step explanation:

Hey there!

The question is asking what the difference in the length between the longest meteor and the shortest meteor is.

In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values

we can convert 1 7/8 to 15/8 to make the subtraction more simple

15/8-2/8=13/8 which is 1 5/8

So the difference between the longest and shortest meteor is 1 5/8 inch

Answer: 1 5/8.

Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8.  Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem.  The work is done below:

1 7/8 - 2/8 = 1 5/8.

Hope this helps! :)