Which shows the expression below simplified? (4.9 x 108) ÷ (7 x 105)

Answer:

$460.92

Step-by-step explanation:

First year monthly salary = $4,718

Second year annual salary = $62,147

Second year monthly salary = Annual salary / 12

= $62,147 / 12

= $5,178.92

How much more per month will you earn your second year?

Amount of increase in second year monthly salary = Second year monthly salary - First year monthly salary

= $5,178.92 - $4,718

= $460.92

Answer:

the group bought 10 burger and 12 drinks

Step-by-step explanation:

6.25×10=62.5

92.50-62.5=30

30÷2.50=12

Answer:

y = -a(x – 2)² – 4

a > 1

Example:

y = -2(x – 2)² – 4

Step-by-step explanation:

y = a(x – h)² + k

____________________

vetex: (h, k)

a: vertical reflection or stretch/compression

__________________________________

If it opens downward, has a vertex of (2, -4) and is narrower than y = x².

Then x² will have a negative coefficient of less than -1 and the input of x will be subtracted by the x value of the vertex which is 2, and the output will be added by the y value of the vertex which is -4.

Therefore y = -a(x – 2)² – 4 where a > 1

Answer:

[tex]\frac{17}{20}[/tex]

Step-by-step explanation:

946

Hope this helps o(*^▽^*)┛

Answer: a=-1

Step-by-step explanation:

Given

[tex]\log_2 (-a+4)=\log _2(3-2a)[/tex]

As the base of both the logarithm is the same. Therefore, the value inside the logarithm is also the same

[tex]\Rightarrow -a+4=3-2a\\\Rightarrow 2a-a=3-4\\\Rightarrow a=-1[/tex]

Thus, the value of a is -1

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

Answer:

C = 2πr

191.64 = 2 × 3.14 × r

r = 191.64/6.28

r = 30.51 yds

Answer:

1=x4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Hope this helps :)

Step-by-step explanation:

Supplementary angles are angles whose measures sum to 180°.

equation for supplementary angle~ a+b=180

Example:

2x+(2x–2)=180

4x–2=180

4x=182

x=45.5

Answer:

x = 100.5

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°. THIS MEANS WE'RE ADDING.

We can use distributive property to solve this equation.

x + (x-21) = 180°.

x + x - 21 = 180°.

Now, we can combine like terms.

2x - 21 = 180.

Since there is a subtraction sign in front of the number 21, we do the opposite operation (addition).

Next, we add 21 to 180.

180 + 21 = 201.

2x = 201

Lastly, we divide 201 by 2.

The quotient is 100.5.

100.5 is the final answer.

Therefore, 100.5 is the value of x.

We can check our answer to make sure.

(100.5 - 21) + 100.5 =

79.5 + 100.5 = 180°.

Answer:

I think the answer is C.

Step-by-step explanation:

A triangle inside always has to add up to 180. So of you subtract 78 and 41 from 180 it wil give you 61

Answer: If the frequency is 0, it does not repeat.

Step-by-step explanation: A relative frequency table is a chart that shows the popularity or mode of a certain type of data based on the population sampled. When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.

Answer:

The area of the trapezoid is 57.5 in.²

Step-by-step explanation:

The given information of the trapezoid are;

The vertices of the trapezoid = QRST

The altitude of the trapezoid = 5 in.

The shape the altitude divides the trapezoid into = A square and an isosceles right triangle

The long side of the rectangle = 9 in.

Therefore, we have;

The legs of an isosceles right triangle are equal

Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.

Therefore, for the isosceles triangle, the length of the other leg = 5 in.

Therefore;

The area of the right triangle = 1/2 × Base × Height (altitude)

The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²

∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²

The length of the rectangle is given as l = 9 in.

The height of the rectangle, h = The altitude of the rectangle = 5 in.

The area of the rectangle, A = l × h

∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²

The area of the trapezoid = The area of the right triangle + The area of the rectangle

The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²

Answer:

1) -3a + 24b

2) 5x^2 + 2x +1

Step-by-step explanation:

1) (-a + -a+ -a) + (6b + 8b + 10b)

(-3a) + (24b)

-3a + 24b

2) (2x^2 + 3x^2) + (4x - 2x) + (7-6)

(5x^2) + (2x) + ( 1 )

5x^2 + 2x + 1

Answer:

the other guy is correct

Step-by-step explanation:

mark him brainliest!! or me it does'nt matter

Answer:

It's a rectangle, but not a rhombus (or square).

Step-by-step explanation:

Let's see the vectors of each next vertex:

[tex]Q - P = (4, 5) - (-5, 2) = (9, 3)\\R - Q = (6, -1) - (4, 5) = (2, -6)\\S - R = (-3, -4) - (6, -1) = (-9, -3)\\P - S = (-5, 2) - (-3, -4) = (-2, 6)\\[/tex]

Firstly, we can notice that it's a parallelogram - because the Q-P side is parallel to the S - R side (if the x:y ratios are the same, the sides are parallel).

A rhombus needs the sides to be of the same length. But the length of a (x, y) vector is [tex]\sqrt{x^2 + y^2}[/tex] and [tex]\sqrt{9^2 + 3^2} > \sqrt{2^2 + (-6)^2}[/tex], we don't even have to compute it exactly. If it's not a rhombus, it's also not a square (every square is a rhombus).

The last thing left is to know if it's a rectangle - for it to be a rectangle, we need to check if the vectors are perpendicular.

We can compute the dot product of the vectors - perpendicular vectors always have a dot product equal to zero. The dot product of two vectors [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is equal to [tex]x_1x_2 + y_1y_2[/tex].

[tex](9, 3) \cdot (2, -6) = 9\cdot 2 + 3\cdot(-6) = 18 - 18 = 0[/tex]

So the sides are perpendicular, and as such - the figure is a rectangle.

Please find the attached photograph for your answer

Answer:

2.25

Step-by-step explanation:

Answer:

bit.^{}

ly/3a8Nt8n

Step-by-step explanation:

DON'T GO HERE PLEASE ITS A SCAM IM WARNING YOU

Answer:

360°

explanation:

the sum of interior angles of all quadrilaterals (polygons with four sides) is 360°. If you put a pen at any of the four corners and try to draw a line to any other corner, you'll find you can only make two triangles. And since the angle sum of triangles is 180°, 180 times 2 = 360

Answer:

Q 1. 8 yds Q2. 12 ft :)

Step-by-step explanation:

I got this right on my test so it should be the same.

Answer:

y = 2 yd

Step-by-step explanation:

2y = 2 × 24 /12 = 4 yd

y = 2 yd

second answer dont know sorry because I dont know about trapezoid. I hope someone will help you with that

Answer:

D

Step-by-step explanation:

Answer: The Answer is 11.

Step-by-step explanation: You line up the least to the greatest so in this case, 8, 6 , 10 , 13 , 14 , and 15, and than you divide that amount by however many numbers there are you are working with. Which would be 6. When all divided and done, it is all equal to 11

Answer:

10x^2 -623x +2

Step-by-step explanation:

the numbers were put in weird so im not sure if this is the answer you were looking for, but thats what i got

Answer: D) 0.55

Step-by-step explanation: good luck

Answer:

D) 0.55

Step-by-step explanation:

I got it correct on USATP.

Hope this helps!

From: Aug1e

Answer:

Step-by-step explanation:

Answer:

Is

[tex] - 5[/tex]

Step-by-step explanation:

(n÷3)-5= -5

9514 1404 393

Answer:

  34 < x < 74

Step-by-step explanation:

Assuming we're concerned with a triangle, the third side must have a length between the difference and the sum of the two given sides.

  54 -20 < x < 54 +20

  34 < x < 74