Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56

Answer:

C=100.53 CM²

Step-by-step explanation:

Formula to the circumference of a circle is 2π·r

2π=6.28

6.28·16=100.53 CM²

Answer:

108

Step-by-step explanation:

Calculator

Answer:

108

Step-by-step explanation:

(45 * 240) / 100

(10,800) / 100 

108

Answer:

Divide 320 by 128 to get 2

23.39062

128| 2994.00000

256

____

434

384

_____

500

384

_____

1160

1152

____

80

0

___

800

768

_____

320

256

_____

64

Stopping at 5 decimal places

The solution for Long Division of 2994/128 is 23.39062

23.39062

Answer:

-7/5

Step-by-step explanation:

m = slope = (y1-y2) / (x1-x2)  =  7/-5 = - 7/5

Answer:

Step-by-step explanation:

Relation between sugar and flour

Table

[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]

Answer:

Step-by-step explanation:

Remark

The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.

Formula

Flour = Sugar / 6

Solution

Sugar = 12

Flour = 12/6 = 2

Flour = 18/6

Flour = 3

Flour = 6

6 = sugar/6               multiply by 6

6*6 = 6* sugar/6

36 = sugar

Sugar = 48

Flour = 48/6 = 8 cups of flower

Flour = 9

9 = sugar / 6

9*6 = sugar

Sugar = 54.

Answer:

48

Step-by-step explanation:

substitute y = 4 into the expression

y² + 6y + 8

= 4² + 6(4) + 8

= 16 + 24 + 8

= 48

37.50

Step-by-step explanation:

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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wala ako pake sau

Step-by-step explanation:

wala ako pake sau

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Answer:

B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Step-by-step explanation:

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer: 12

Step-by-step explanation:

height x width

3 x 4 = 12

c=2.2feet

The solution in the attached file

The area of the Area  of the polygon is known to be 9 units². Find more about polygon below

The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.

Note that to calculate the area, it will be

Area = 1/2 (5 + 1) x 3 = 9 units²

Thus the answer of 9 units is correct.

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{3, 4, 5, 6} 

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.

Given the ratio of 5 : 3, the length of the rectangle is 45 units

The ratio is given as:

Length : Width = 5 : 3

The perimeter is given as:

Perimeter = 144

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 144

Divide both sides by 2

Length + Width = 72

Recall that:

Length : Width = 5 : 3

Express as fraction

Length/Width = 5/3

Make Width the subject

Width = 3Length/5

Substitute Width = 3Length/5 in Length + Width = 72

Length + 3Length/5  = 72

Multiply through by 5

5Length + 3Length  = 360

This gives

8Length  = 360

Divide both sides by 8

Length  = 45

Hence, the length of the rectangle is 45 units

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Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Answer:

3^3-4^2=11

Step-by-step explanation:

3^3=27

4^2=16

27-16=11

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

Answer:

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

$16.37

Step-by-step explanation:

They want to raise $463.72 and they already have $218.22 so if we subtract it

$463.72-$218.22=$245.50

we get $245.50 left to raise.

We have 15 teachers so we do

$245.50/15

we get 16.36 but we round it so we get $16.37.

Answer:

849

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

Answer:

check explanation for answer

Step-by-step explanation:

16 ÷ -8 = -2

- 2 \frac{2}{5} ÷  \frac{4}{5} = -3

3 \frac{3}{7} ÷ \frac{1}{7} = 3

-12.2 ÷ -6.1 = 2

Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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