What is the midpoint of the segment shown below?

Answer:

2.5

Step-by-step explanation:

1/2x5=?

5/2=?

2.5=?

Answer:

[tex]\boxed{2.5}[/tex]

Step-by-step explanation:

=> [tex]\frac{1}{2} of 5[/tex]

The word "of" means "to multiply"

=> [tex]\frac{1}{2} * 5[/tex]

=> [tex]\frac{1*5}{2}[/tex]

=> [tex]\frac{5}{2}[/tex]

=> 2.5

Answer:

2 cm

10 cm

Step-by-step explanation:

14/7 = 2

This helps to find because area of rectangle = bh or base times height.

A = 1/2 bh

30 = 1/2 b 6

30 = 3b

b = 10

Answer:

b = 2 cm

b = 10 cm

Step-by-step explanation:

Area of a Rectangle: A = lw

Area of a Triangle: A = 1/2bh

We are given area and length, so simply plug it in:

14 = 7w

w = 2 cm

We are given area and height, so simply plug it in:

30 = 1/2(6)(b)

30 = 3b

b = 10 cm

Answer:

x=0

Step-by-step explanation:

(x^2 + 4x) - 2x = x^2 +x

Combine like terms

x^2 +2x = x^2 +x

Subtract x^2 from each side

2x =x

Subtract x from each

2x-x = x-x

x = 0

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

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

Combine like terms.

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

Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.

[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]

[tex]0=x-2x[/tex]

[tex]0=-1x[/tex]

Divide both sides by [tex]-1[/tex].

[tex]\frac{0}{-1} =\frac{-1x}{-1}[/tex]

[tex]0=x[/tex]

Answer: scalene, right

Step-by-step explanation:

None of the side lengths of the triangle are equal, so the triangle is scalene.

This triangle also has a right angle, so it is a right triangle.

Answer:

D. And E.

Step-by-step explanation:

It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

Matt probably would have got about a 5% return on a good stock.

The rate of return is just the total return divided by investment.

Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.

Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.

In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

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Answer: Debit Supplies Expense $877 and credit Supplies $877

Step-by-step explanation:

From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.

The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877

Answer:

1/25

Step-by-step explanation:

The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

          = (2! / 1!) / (20! / 19! 1!)

          = 2 / 20

          = 1/10

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

          = (8! / 1! 7!) / (20! / 191 1!)

          = 8 / 20

          = 2 / 5

Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( B ) X P ( Y )

  = 1/ 10 X 2 / 5

  = 1 / 25

Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.

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Answer:

I cant read that but I think its 1/2

Step-by-step explanation:

Answer: B. rectangular pyramid

Answer:

D. -4

Step-by-step explanation:

f(x) = 4x - 20

f(4) = 4(4) - 20

f(4) = 16 - 20

f(4) = -4

Answer: -4

Step-by-step explanation: f ( x ) = 4x - 20

just replace the x with 4 and solve

4 ( 4 ) - 20

16 - 20

= -4

Answer:

Step-by-step explanation:

All but first for every single x gives single y so the second, third and fourth are function

At first for x=2 we have two y (2 or -2) so this isn't function.

Answer:

144 cm^2

Step-by-step explanation:

8x6+4x10+4x8+4x6

48+40+32+24

80+40+24

120+24

144

Answer:

Option D is correct.

The equation with roots 3 plus or minus square root 2 is x² - 6x + 7

Step-by-step explanation:

The roots of the unknown equation are

3 ± √2, that is, (3 + √2) and (3 - √2)

The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation

x = (3 + √2) or x = (3 - √2)

The equation is this

[x - (3 + √2)] × [x - (3 - √2)]

(x - 3 - √2) × (x - 3 + √2)

x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)

= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2

Collecting like terms

= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2

= x² - 6x + 7

Hope this Helps!!!

Answer:

b

Step-by-step explanation:

i solved it in my head.

Answer:

4 cm^2

4 cm

Step-by-step explanation:

8/2 = 4

4/2 = 2

each side of the square is 2 cm

sqrt. 16 = 4

4 cm

Answer:

Around 10/3 or 3.33 times farther.

Step-by-step explanation:

We simply divide the larger distance by the smaller distance to find our ratio:

2(10⁸)/6(10⁷)

10/3

*Remember when you divide exponents, you subtract them

Answer:

43

Step-by-step explanation:

it looks the same as the other side

The required angle b is 43°.

It is required to find the  measure of angle b.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The measure of angle b is 43° due to vertically opposite angle.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Therefore, the required angle b is 43°.

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Answer:

16.59

Step-by-step explanation:

Given:

[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]

Expanding the left hand side, we have:

[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]

Therefore:

[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]

To find the minimum value, we take the derivative and solve for its critical point.

[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]

Recall that:

[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]

The minimum possible value of the coefficient of x is 16.59.

Answer:

173

Step-by-step explanation:

For sympliciy let the box equal y.

Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that  (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].

Answer:

Solution,

[tex] \frac{5}{8} = \frac{12}{g} \\ or \: 5 \times g = 12 \times 8 \: ( \: cross \: multiplication) \\ or \: 5g = 96 \\ or \: g = \frac{96}{5} \\ g = 19.2[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

5/8=12/g

*8      *8

5=12*8/g

*g    *g

5g=12*8=96

:5              :5

g=96/5

g=19.2

Answer:

4 lb

Step-by-step explanation:

Answer: CPCTC

Step-by-step explanation:

because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.

By CPCT [Corresponding Part of congruent Triangle]

<h=<j

hope i helped

-lvr

Answer:

B

Step-by-step explanation:

The postulate that can be used to link both triangles is AAS which means Angle Angle side

From the diagram, we can see that we have 2 equal angles and one side in between the two triangles

This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles

Answer:

0.0236 m per minute,

Step-by-step explanation:

Volume of the cone V = 1/3 π r^2 h.

Diameter = 2r = 2h so r = h

and V = 1/3 π h^3

So  the rate of change of volume with height =

dV / dh =  π h^2.

We are given that dV/dt = 6.

So the rate of change of height: dh/dt = dV/dt * dh/dV

= 6 * 1/ π h^2

When  h = 9

dh/dt = 6 / 81π m per minute

= 0.0236 m per minute,

Answer:

x = 4sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 7^2 = 9^2

x^2 +49 = 81

Subtract 49 from each side

x^2 = 81-49

x^2 =32

Take the square root of each side

sqrt(x^2) = sqrt(32)

x = sqrt( 16*2)

x = sqrt(16) sqrt(2)

x = 4sqrt(2)

Answer:

x = 4√2

Step-by-step explanation:

The triangle is a right triangle.

Use Pythagorean theorem.

a² + b² = c²

The sum of legs squared is the hypotenuse squared.

The hypotenuse (largest side) is 9.

The legs are 7 and x.

7² + x² = 9²

49 + x² = 81

x² = 81 - 49

x² = 32

x = √32

x = √16√2

x = 4√2

Answer: 28

Step-by-step explanation:

The shape is grouped into 4 identical parallelograms.  

Thus, as the combined area of the figure is 308, you can divide 308/4 to get 77.  Thus, each parallelogram has an area of 77.

Then, divide 14/2 to get that the height of each parallelogram is 7.  

The area of a parallelogram is l*w.  Thus, because l = 7, each parallelogram has a width of 11 because 77/7 = 11.  

Then, simply add 11+11+6 to get y.

Hope this helps <3

Answer:

-1

Step-by-step explanation:

each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

Answer:

f^-1(x) = _x__

               5

Step-by-step explanation:

Answer:

[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]

Step-by-step explanation:

f(x) = 5x

To find f^-1(x) equate f(x) to y

That's f(x) = y

y = 5x

Interchange the variables

x = 5y

Make y the subject by dividing both sides by 5

y = x/5

The final answer is

f^-1(x) = x/5

Hope this helps you.

Answer:

45:40

Step-by-step explanation:

You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer