is this right 20 points!!!

Answer:

[tex]12x^2-4x+3[/tex]

Step-by-step explanation:

Parentheses do not matter in this equation.

[tex](10x^2-11x+8)+(2x^2+7x-5)=\\10x^2-11x+8+2x^2+7x-5=\\12x^2-11x+8+7x-5=\\12x^2-4x+8-5=\\12x^2-4x+3[/tex]

Our answer is [tex]12x^2-4x+3[/tex]

Answer:

C

Step-by-step explanation:

An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.

Answer:

D. 110Db

Step-by-step explanation:

Db = 10log (10^-1 / 10 ^-12)

Db = 10log(10^11)

Db = 110

(even without calculating, we could guess that it was 110Db. 70 Db is about the normal talking Db, and rock concerts are generally a lot louder than regular talking)

Answer:

D. 110Db

Step-by-step explanation:

===============================================

Work Shown:

P = area of triangle

P = 0.5*base*height

P = 0.5*5*4

P = 10 square units

----------------

Q = area of square

Q = side*side

Q = 5*5

Q = 25 square units

----------------

R = area of trapezoid

R = height*(base1+base2)/2

R = 5*(7+5)/2

R = 5*12/2

R = 60/2

R = 30

----------------

T = total area of the entire figure

T = P+Q+R

T = 10+25+30

T = 65 square units

Answer: 71 sq. units

Step-by-step explanation:

formula: 1/2bh + lw + 1/2h(b1+b2)

1/2(20) + (25) + 1/2 (6) (12)

10 + 25 + (3) (12)

10+ 25 + 36 = 71

Answer:

14 feet OR 168 inches

Step-by-step explanation:

4 tables multiplied by 42 inches equals 168 inches total

168 inches divided by 12 inches per feet equals 14 feet.

Question:

Select the three expressions that are equivalent to [tex]6^2[/tex]:

a: [tex](\frac{6^9}{6^8})^2[/tex]

b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Answer:

a: [tex](\frac{6^9}{6^8})^2[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Step-by-step explanation:

Given

[tex]6^2[/tex]:

Required

Find equivalent expressions

To solve this question; we'll simplify options a to do, one after the other

a: [tex](\frac{6^9}{6^8})^2[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that;

[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]

[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]

From laws of indices;

[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]

This implies that

[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]

[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]

Hence,  [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]

b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]

Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]

c.  [tex]\frac{6^4}{6^2}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]

[tex]\frac{6^4}{6^2} = 6^{2}[/tex]

Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]

d.  [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]

Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]

Answer:

Option D.

Step-by-step explanation:

The vertex form of a parabola along y-axis is

[tex]y=a(x-h)^2+k[/tex]

where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.

The vertex of the parabola is (2,-1). So, h=2 and k=-1.

[tex]y=a(x-2)^2-1[/tex]

The graph passes through (5,0). So,

[tex]0=a(5-2)^2-1[/tex]

[tex]1=9a[/tex]

[tex]\dfrac{1}{9}=a[/tex]

It means coefficient of the squared term is 1/9, which is not the option. So, parabola must be along the x-axis.

The vertex form of a parabola along x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.

The vertex of the parabola is (2,-1). So, h=2 and k=-1.

[tex]x=a(y+1)^2+2[/tex]

The graph passes through (5,0). So,

[tex]5=a(0+1)^2+2[/tex]

[tex]5-2=a[/tex]

[tex]3=a[/tex]

It means coefficient of the squared term is 3.

Therefore, the correct option is D.

Answer:

The total current drawn is 6.05 amps

Step-by-step explanation:

Simply add the current that each appliance draws, to get the total current required. Notice that they are all given in the same units (amps), so there is no units conversion needed:

Electric iron  :  4.12 amps

Clock;    0.02  amps

light bulb :  0.91 amps

motor :  1 amp

Total current : 4.12  amps + 0.02 amps + 0.91 amps + 1 amp = 6.05 amps

Answer:

Step-by-step explanation:

40km is the bearing

Answer:

i would say  f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded

Step-by-step explanation:

Answer:

Y=2/3

Step-by-step explanation:

Y varies directly as X

Y=k x

K is a constant

6=k72

K=1/12

Y=1/12x

Y=1/12×8

y=2/3

Answer:

x=8 y=21

Step-by-step explanation:

27 + 3y = 90 degrees

divide by 3

9+y=30

y=21 degrees

90+8x+18+x=180

9x+108=180

divide by 9

x+12=20

x=8

Answer:

See the attachment below.

Step-by-step explanation:

Best Regards!

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

Answer:

65

Step-by-step explanation:

The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.

180-90-25=65

Answer:

65

Step-by-step explanation:

right angle=90

[tex] {90}^{0} [/tex]

therefore 90-25=the third angle 65

Answer:

f(3) is 30

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

$1720.0931 will earn as interest in 2 years

Step-by-step explanation:

Principal = $7411

Rate of interest = 11% compounded annually

Time = 2 years

Formula : [tex]A = P(1+r)^t[/tex]

[tex]A=7411(1+0.11)^2[/tex]

A=9131.0931

Interest = Amount - Interest =$9131.0931 - $7411

Interest = $1720.0931

Hence  $1720.0931 will earn as interest in 2 years

Answer:

3.078

Step-by-step explanation:

tan 72° = 3.078

Answer:

tan 72 = 3.078

Step-by-step explanation:

rounded like requested

Answer:

10 + 4(-8q - 4)

= 10 + 4 * (-8q) + 4 * (-4)     (Distribute 4)

= 10 - 32q - 16                    (Expand)

= -32q - 6                           (Combine like terms)

Answer:

[tex]-32q-6[/tex]

Step-by-step explanation:

[tex]10+4(-8q-4)[/tex]

[tex]10+4(-8q)+4(-4)[/tex]

[tex]10+-32q+-16[/tex]

[tex]-32q+-16+10[/tex]

[tex]-32q+-6[/tex]

Answer:

A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12

Step-by-step explanation:

The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.

A pair of boots are on sale for 65 percent off. The original price of the boots in x was $56.12

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

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Answer:

4.4 km/h

Step-by-step explanation:

From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h

So the trick is to express the 30 minutes as 1/2 hour.

Answer:

4.4 km/h

Step-by-step explanation:

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

[tex]y \propto x[/tex]

[tex]y = kx ----1[/tex]

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]

On comparing with 1

[tex]k = \frac{1}{2}[/tex]

A)6y = 3x

[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

C)

[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]

So, this equation do not has the same constant of proportionality

D)

[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]

To find the equation :

Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]

[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

Options A and B has the same constant of proportionality.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For option A,

6y=3x

y=3/6x

y=1/2x

This equation has the same constant of proportionality

For Option B

(2,1) and (4,2)

m=2-1/4-2=1/2

We have equation as y-y₁=m(x-x₁)

y-1=1/2(x-2)

y-1=1/2x-1

y=1/2x

this equation has the  same constant of proportionality

For option C

(1,2) and (2,4)

m=4-2/2-1=2

We have equation as y-y₁=m(x-x₁)

y-2=2(x-1)

y-2=2x-2

y=2x

Equation do not has the same constant of proportionality

and option D does not have same constant of proportionality

Hence options A and B has the same constant of proportionality.

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Answer:

11/51 or 0.21468627

Step-by-step explanation:

Answer:

12 ft²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A of upper triangle = [tex]\frac{1}{2}[/tex] × 4 × 3 = 2 × 3 = 6 ft²

A of lower triangle = [tex]\frac{1}{2}[/tex] × 4 × 3 = 2 × 3 = 6 ft²

Thus

area of figure = 6 + 6 = 12 ft²

Answer:

Brainleist!!!!!

Step-by-step explanation:

x/-4 + 8 = 12

x/-4 = 4

x = -16

Answer:

x = -16

Step-by-step explanation:

x/-4 -(-8)=12

Negative times negative is positive.

x/-4 + 8 = 12

Subtract 8 on both sides.

x/-4 = 12 - 8

x/-4 = 4

Multiply -4 on both sides.

x = 4 × -4

x = -16

Answer:

C. A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175)

Step-by-step explanation:

In the x-axis goes the values from the column 'Number of years collecting stamps' of the table. And In the y-axis goes the values from the column 'Number of stamps in collection' of the table.

To make the graph identify each pair of values in the plane and mark it.

Answer:

c

Step-by-step explanation:

its corect on edge

Answer:sorry no spanish

Step-by-step explanation:

Answer:

Amp: 4

Period: 2π

Answer: B

Step-by-step explanation: