Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form

Answer:

[tex]160cm {}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{k}{p} \: \: were \: v = 200cm {}^{3} \: \: p = 32 \frac{kg}{cm {}^{3} } \\ 200 = \frac{k}{p} \: \\ k = 200 \times 32 \\ k = 6400 \\ equation \: connecting \: vand \: p \\ v = \frac{6400}{p} \\ when \: p = 40kg \\ v = \frac{6400}{40} \\ v = 160cm {}^{3} [/tex]

Answer:

53.8 is correct

Step-by-step explanation:

Make sure you don't round down

The slopes -2/3 and 3/2 multiply to -1, which is sufficient info that the lines are perpendicular. Perpendicular slopes always multiply to -1 assuming neither line is vertical nor horizontal.

Note how -2/3 is the negative reciprocal of 3/2, and vice versa.

Answer:

perpendicular

perpendicular lines have slopes that are negative reciprocals of one another. if a slope of a line was 5, then the slope of a line perpendicular to it would be -1/5, for example.

Answer:

1) 6.6 × 10^5   2) 3.65 × 10^-3   3) 9 × 10^-3   4)  8.1 × 10^2

Step-by-step explanation:

I think that's what it is.

h

it's f but reflected diagonally

Answer:763

Step-by-step explanation:

you add both numbers

Answer:

u=19

Step-by-step explanation:

4u-9=67 1. add 9 on both sides

4u = 76 divide 4 on both sides

4u/4 = 76/4

u = 19

Answer:

#1

Well lets solve the polynomial first.

(4p +3) ^2

That is basically

(4p + 3) (4p + 3)

And we’re trying to find the error in the “equal” solution.

16p^2 + 8p + 9.

So let’s solve the polynomial first

Following F.O.I.L

F- First

O- Outter

I- Inner

L- Last

So doing the equation in order.

4p * 4p = 16p^2

4p * 3 = 12p

3 * 4p = 12p

3* 3 = 9

Added it all up.

16p^2 + 12p + 12p + 9

Simplify.

16p^2 +24p +9
We can see that in this case the 8p is wrong.

So we replace 8p with 24p

In this case the last option.

Factoring #2

So we’re factoring

9x^2 -6x - 3

So how are we gonna do this.

So I’m just gonna go over the simple method.

The standard form of a quadratic is

Ax^2 + bx + c = 0

We don’t have to worry about the equal 0 part here for now.

ax^2 + bx + c

A being the number next to x^2

B is the number being next to x

C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)

So let’s plug it in.

(It’s already plugged in so we can solve)

9x^2 - 6x - 3

Multiply a and c in ths case being, 9 and -3.

You’d get -27

We need two numbers that multiply to -27 and add up to -6

From here it’s guessing and checking.

Here’s my process.

trial 1

Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.

But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.

I look at -27 and think of two numbers that would give the lowest.

-9 * 3

-9 * 3 = -27

-9 + 3 = -6

It looks like I got it already on the first try.

The numbers are -9 and 3

end of trial 1

So now I know that the numbers are -9 and 3.

Using that information I just plug it into the quadratic but replace it with b.

9x^2 -9x + 3x - 3

Now you can simplify this

In the end you’d get

3 (3x+1)(x-1)

You’d have the third option open to you

Figure out the second one using these strategies

Traingle DEF is isosceles

So

Hence

Answer:

Next you should multiply the numerators and denominators.

explanation:

i got 100% ;)

Answer:

Multiply The Numearters and Denomenators

Step-by-step explanation:

The combination and permutations computed shows that the number of ways that the volunteers can be assigned is 120120.

From the information given, the number of ways that the volunteers can be assigned will be:

= 14C3 × 11C4 × 7C7.

= (14 × 13 × 12)/6 × (11 × 10 × 9 × 8)/24

= 120120

Also, the number of ways that the volunteers can be assigned so that Mary and Martha are not at the same station will be:

= 12C1 × 11C4 × 7C7

= 12 × 330 × 1

= 3960

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Answer:

The answer is 1/2

Step-by-step explanation:

hope this helps

Answer:

The second graph is the answer

Answer:

270216 this the multiplication of the numbers you can also use a calculator

When the sides are the same then the triangles are congruent.

Identical lines through the sides of a triangle indicate that the sides are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Congruent triangles are two triangles that are identical in terms of size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.

Thus, identical lines through the sides of a triangle indicate that the sides are congruent.

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Answer:

x = 1 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

[tex]x^{2}- 2x = 4[/tex]

Subtract 4 on both sides.

[tex]x^{2} -2x-4=0[/tex]

Now, the quadratic formula.

x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)

x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2

x = (2±[tex]\sqrt{20}[/tex])/2

x = (2±2[tex]\sqrt{5}[/tex])/2

x = 1 ± [tex]\sqrt{5}[/tex]

Answer:

C Is the correct answer

I am not sure please check it out once

Answer:

Let x = # of hot dogs sold

Let x + 31 = # of sodas sold

For the total, do:  x + x + 31 = 173

                         2x + 31 = 173

                               -31     -31

                         2x            = 142

  Divide out both sides by 2; to get:  x - 71

  That gives us 71 hot dogs; and 71 + 31 = 102 sodas

  To test this:  71 + 71 + 31 = 173

                                173    =  173    [Check]

Step-by-step explanation:

its above up there

Answer:

5x^3 + 7

Step-by-step explanation:

So basically a binomial is when there are 2 terms

To a certain degree (it's 3 in this case) is when the variable is to that power.

For example: [tex]5x^{3} + 7[/tex]

Answer:

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

[tex]\tt 8x+51+6x-25=180[/tex]

[tex]\tt 14x+26=180[/tex]

[tex]\tt 14x=180-26[/tex]

[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]

[tex]\tt x=11[/tex]

m∠AOB:-

[tex]\tt 8(11)+51[/tex]

[tex]\tt =88+51[/tex]

[tex]\tt =139^{o}[/tex]

Therefore, m∠AOB=139°

Answer:

B) 56

Step-by-step explanation:

There are 16 ounces in 1 pound, so first you must convert the 28 pounds to ounces. You do this by multiplying 28 and 16.

28 × 16 = 448

Next, divide 448 by 8 to find out how many servings there are.

448 ÷ 8 = 56

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

Answer:

b) [tex]4 \frac12[/tex] inches

3. a) [tex]2\frac{1}{8}[/tex] foot

Step-by-step explanation:

b)  area of a rectangle = length × width

Given:

[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]

[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]

[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]

[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]

[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]

[tex]\implies \dfrac{765}{170} =x+3[/tex]

[tex]\implies \dfrac92=x+3[/tex]

[tex]\implies 9=2(x+3)[/tex]

[tex]\implies 9=2x+6[/tex]

[tex]\implies 2x=3[/tex]

[tex]\implies x=\dfrac32[/tex]

Therefore,

[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]

Question 3a

Subtract the length of the picture from the length of the wall, then divide the answer by 2.

[tex]\implies (14\frac12-10\frac14) \div 2[/tex]

[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]

[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]

[tex]\implies \dfrac{17}{4} \div 2[/tex]

[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]

[tex]\implies \dfrac{17}{8}[/tex]

[tex]\implies 2\frac{1}{8}[/tex]

Answer:

38.75 is the answer

Step-by-step explanation:

3 1/2 = 3.50 x 5 = 17.50

4 1/4 = 4.25 x 5 = 21.25

17.50 +

21.25 =

38.75

The value of x coordinate for point E is,

⇒ x = 6

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Grace has a segment with endpoints C (3, 4) and D (11, 3)

And, It is divided by a point E such that CE and DE form a 3:5 ratio.

Hence, We get;

The coordinates of E is,

E = [ ( 3× 11  + 5 × 3)/(3 + 5) , (3×3  + 5 × 4)/(3 + 5) ]

   = [ (33 + 15)/8 , (9 + 20)/8 ]

    = *(48/8  ,  29/8)

    =  (6 , 3.625)

Thus, The value of x coordinate for point E is,

⇒ x = 6

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A) The computation of the break-even point in units for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                                Model X100     Model X950       Model X800

=                              3,000 units          771 units           1,350 units

              (1,080,000/$360)  (1,080,000/1,400)    (1,080,000/800)

B) The computation of the break-even point in pesos for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                       Model X100              Model X950         Model X800

=               240 million pesos      11,416,490 pesos      32,432,432 pesos

              (1,080,000/0.45%)  (1,080,000/9.46%)    (1,080,000/3.33%)

C) If Green Meadows has a target profit of 1M, the number of units of each type of cooler that must be sold is determined using the following break-even formula:

= Fixed costs + Target Profit /Weighted contribution margin per unit

                                Model X100     Model X950            Model X800

=                               5,778 units       1,486 units             2,600 units

                    (2,080,000/$360)  (2,080,000/1,400)    (2,080,000/800)

The break-even analysis is an accounting technique used to determine the break-even point.

The break-even point shows the units or dollars that must be achieved so that the total revenue equals the total costs, both variable and fixed.

Fixed cost = 1,080,000 pesos

                                     Model X100  Model X950    Model X800

Selling price                       8,800          14,800              24,000

Variable cost                      7,600         12,000               20,000

Contribution margin           1,200          2,800                  4,000

Sales mix                              30%             50%                    20%

Weighted contribution

 margin                               360           1,400                    800

Weighted contribution

 margin ratio                    0.45%         9.46%                  3.33%

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Answer: 15+5sqrt(3)

Step-by-step explanation:

Answer:

Step-by-step explanation: