-%
8. Simplify the expression. Write the answer using scientific notation.
4(6.2x 1011
A 24.8 x 1022
B 2.48 x 1012
6
C 24.8 * 1011
D 1.02 x 1012

The scale factors of the maps are 1 cm per m and 1 in per 0.75 ft, respectively

Scale factor of map 1

The scale is given as

A scale of 2 cm = 2m

Write out the scale

So, we have

2 cm = 2/2 m

Divide both sides of the scale by 2

So, we have the following equation

2/2 cm = 2/2 m

Evaluate the quotient

So, we have the following equation

1 cm = 1 m

The above means that the scale is 1 cm scale measurement represents 1 m actual measurement

Scale factor of map 2

The scale is given as

A scale of 4 in = 3 ft

Write out the scale

So, we have

4 in = 3 ft

Divide both sides of the scale by 4

So, we have the following equation

4/4 in = 3/4 ft

Evaluate the quotient

So, we have the following equation

1 in = 0.75 ft

The above means that the scale is 1 inch scale measurement represents 0.75 m actual measurement

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Answer:

Quadrant 4

Step-by-step explanation:

Hi! Okay, let's get started.

This, would be Quadrant 4, with the x axis positive, and y one negative.

Hope that helps! :)

-Aphrodite

Está situado no quarto quadrante

Answer:

7000

Step-by-step explanation:

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

40 is greater than 6

Step-by-step explanation:

Answer:

12x+16-4y

Step-by-step explanation:

Answer:

lets start with x = 5x+7x=12x

now y = 2y-6y= -4y

now reg numbers = 8+8=16

now add all of them not litteraly add by add as in make them into a expression

so

12x-4y+16

9514 1404 393

Answer:

  multiply by 2.2

Step-by-step explanation:

If you start with an amount x, and add to it 120% of x, you have ...

  x(100%) + x(120%)

  = x(220%)  = 2.20x

You can find the new amount by multiplying by 2.2.

Answer:

The slope is 1/4

Step-by-step explanation:

hope it helps

Answer:

\( \frac{8}{28} = \frac{10}{3x - 5 + 10} \\ \\ = > 10 \div \frac{ 8}{28} = 3x + 5 \\ \\ < = > 35 = 3x + 5 \\ \\ < = > 3x = 30 \\ \\ < = > x = 10\)

Answer:

\( \frac{28}{(3x - 5) + 10} = \frac{28 - 8}{3x - 5} \\ 28(3x - 5) = 20(3x + 5) \\ 84x - 140 = 60x + 100 \\ 24x = 240 \\ x = 10\)

Answer:

Step-by-step explanation:

Hey there! :)

Answer:

(2, 3) and (-2, 11).

Step-by-step explanation:

To solve this system of equations, we can set both equations equal to each other:

x² -2x + 3 = -2x + 7

Combine like terms:

x² -4 = 0

Factor using difference of squares:

(x - 2)(x + 2) = 0

Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:

f(x) = -2(2) + 7

f(x) = -4 + 7

f(x) = 3

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

f(x) = -2(-2) + 7

f(x) = 4 + 7

f(x) = 11

Therefore, the two ordered pairs are (2, 3) and (-2, 11).

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

Hexagonal Prism

Answer:

.1/2

Step-by-step explanation:

is the same as 20÷40

which gives you 1/2

Answer:

sorry,but there is no graph ...its difficutlt to say u the ans

The amount of caster sugar used in the first attempt is given as follows:

340 g.

The amount of caster sugar used in the first attempt is obtained applying the proportions in the context of the problem.

The expressions for each attempt are given as follows:

The amount used on the third attempt was of 376.38 g, hence the amount used on the first attempt is obtained as follows:

1.107x = 376.38

x = 376.38/1.107

x = 340 g.

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Step-by-step explanation:

you mean it is 6° less, right ?

supplement means together they have 180°.

complement means together they have 90°.

x is our angle.

180 - x is the supplement angle.

90 - x is the complement angle.

180 - x = 90 - x - 6

90 = -6

you see, that is not possible.

the difference between the supplementary angle and the complementary angle is always 90°.

e.g.

x = 30°

supplement = 180-30 = 150°

complement = 90-30 = 60°

the difference is : 150 - 60 = 90°

x = 80°

supplement = 180 - 80 = 100°

complement = 90-80 = 10°

the difference is : 100 - 10 = 90°

and so on.

so, again, there is no angle that satisfies that criteria.

either you made a mistake in the problem description, or your teacher tried to be tricky.

remember, as x has also a complementary angle, it must be smaller than 90°.

so, the supplementary angle of x must be larger than 90°, and therefore larger than the complementary angle.

there is no angle, for which the supplementary angle is smaller than the complementary angle.

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

42

Step-by-step explanation:

129/3= 43

43 firecrackers contains 1 duds

1806/43= 42

( 80/100) × A = ( 40/100 ) × B

Divide both sides by 40/100

( 80A/100 )÷( 40/100 ) = ( 40B/100 )÷(40/100 )

2A = B

Divide both sides by A

2A ÷ A = B ÷ A

2 = B/A

B/A = 2 × 100

B/A = 200 %

Answer:

200%

Step-by-step explanation:

Because I answered the question correctly.

If Samantha works in a department store selling clothing and she makes a guaranteed salary of $500 per week but is paid a commission on top of her base salary equal to 25% of her total sales for the week, then Samantha would make $662.5 in a week in which she made $650 in sales and she would make 500 + 0.25 xx in a week in which she made xx dollars in sales.

The amount of money Samantha makes in a week can be given by an algebraic expression.

Amount of money Samantha makes in a week = Salary per week + 25% of her total sale

Amount of money Samantha makes in a week = 500 + 0.25 x

Here x is the sales Samantha made in a week

If she made $650 in sales in a week :

Amount of money Samantha makes in a week = 500 + 0.25(650)

Amount of money Samantha makes in a week = 500 + 162.5

Amount of money Samantha makes in a week = $662.5

If she made xx dollars in sales in a week :

Amount of money Samantha makes in a week = 500 + 0.25 x

Amount of money Samantha makes in a week = 500 + 0.25 xx

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Answer: 6/13-2/13

I'm correct cause I always am hehe

Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.

Answer:

The point that lies in the solution set to the following system of inequalities is (1,10).

To check, substitute the values of x and y into each inequality:

ys > x-5

y < x+4

For the point (1,10):

10 > 1-5 is true (10 > -4)

10 < 1+4 is true (10 < 5)

Therefore, (1,10) satisfies both inequalities and lies in the solution set. The other three points do not satisfy at least one of the inequalities, and thus do not lie in the solution set.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.10

In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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Answer: 45

Step-by-step explanation: 9*5=45

Step-by-step explanation:

hope it helps you........

The probability that the skydiver will land in the red circle is the area of the red circle divided by the area of the blue region the probability that the skydiver will land in the red circle is 1/5.

To find the probability that the skydiver will land in the red circle, we first need to determine the areas of the circles.

The diameter of the center circle is 2 yards, so the radius (half the diameter) is 1 yard.

Therefore, the area of the center circle is π * (1 yard)^2 = π square yards.

The next circle has a diameter of 2 + 2 * 1 = 4

yards, so the radius is 2 yards. The area of this circle is

π * (2 yards)^2 = 4π square yards.

The outermost circle has a diameter of 4 + 2 * 1 = 6

yards, so the radius is 3 yards. The area of this circle is π * (3 yards)^2 = 9π square yards.

To find the probability, we need to compare the area of the red circle (center circle) to the total area of the blue region (center and intermediate circles).

The area of the blue region is the sum of the areas of the center and intermediate circles: π square yards + 4π square yards = 5π square yards.

Therefore, the probability that the skydiver will land in the red circle is the area of the red circle divided by the area of the blue region:

P(skydiver lands in the blue region) = (π square yards) / (5π square yards) = 1/5.

So, the probability that the skydiver will land in the red circle is 1/5.

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Answer: Does, 12, 0

Step-by-step explanation:

Because the function has a - in front it is facing downwards which means there is a max at the vertex

To find the vertex you can use x=-b/2a  There is no b so x=0 plug that into equation:

y=-3(0)²+12   y=12   So at (0,12) there is a max

To fill in blanks

does

12

0

Step-by-step explanation:

This is a dome shaped parabola  (because the coefficient of x^2 is negative)

  max occurs at   x = -b/2a      where b = 0   and a = - 3

         so max occurs at x = 0

             plug in x = 0 to find out what that max is

                      max = 12