Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for [tex]R_{x-axis}(QRST)[/tex].

Solution:

The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this rule, we get

[tex]T(-2,3)\to T'(-2,-3)[/tex]

[tex]Q(1,5)\to Q'(1,-5)[/tex]

[tex]R(3,-1)\to R'(3,1)[/tex]

[tex]S(0,0)\to S'(0,0)[/tex]

Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

Rx-axis means that the polygon QRST is reflected across the x-axis.

The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

The points are given as:

[tex]\mathbf{Q = (1,5)}[/tex]

[tex]\mathbf{R = (3,-1)}[/tex]

[tex]\mathbf{S = (0,0)}[/tex]

[tex]\mathbf{T = (-2,3)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{Q' = (1,-5)}[/tex]

[tex]\mathbf{R' = (3,1)}[/tex]

[tex]\mathbf{S' = (0,0)}[/tex]

[tex]\mathbf{T' = (-2,-3)}[/tex]

Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

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Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

its y=x+7

Step-by-step explanation:

Answer:

yo I'm doing the same thing

Answer:

x=13.5

Step-by-step explanation:

Perform the same operation on each side:

2x+5 = 32

2x     = 27

x       = 13.5

So, x is 13.5

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

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Answer:

25

Step-by-step explanation:

Substitute 7 into 2, and 11 into y.

2(7)+(11)

14+11

25

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

Answer:

-1.2*-7=8.4   -2.5*-2=5   2.5*-2=-5    -1.2*7=-8.4

Step-by-step explanation:

In a normal distribution, 95% of the data falls within two standard deviations.

What is a normal distribution?

The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.

Here,

We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.

We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.

Hence, In a normal distribution, 95% of the data falls within two standard deviations.

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Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Answer:

17600

Step-by-step explanation:

calculator

Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51

The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:

3.5% / 12 months = 3.5/12%

6 years x 12 = 72 months

The amount after 6 years is:

= Amount x (1 + rate) ^ number of periods

= 5,000 x (1 + 3.5/12%)⁷²

= $6,166.51

In conclusion, the amount in the account after 6 years is $6,166.51.

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Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Answer: $96.15

Step-by-step explanation:

If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:

52*10 h = 520h hours.

Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.

Then how much is worth each one of these 520 hours?

Let's take divide the value of the scholarship evenly into the 520 hours:

$50,000/520h = $96.15.

This means that the hourly return is $96.15

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Answer:

1/4 en pedazos seria 1/4 en pedazos

Step-by-step explanation:

la pregunta no tiene sentido

Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

only one with negative 1

Answer:

You can run 5 miles in 30 minutes.

Step-by-step explanation:

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

y = [tex]\frac{1}{6}[/tex] (30)

y = 5 miles

You can run 5 miles in 30 minutes.

Divide total area by area of a gallon of paint:

3025 / 400 = 7.56

Because there is a decimal answer you need to round up tot he next whole number.

You would need 8 gallons of paint.

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

Answer:

See below.

Step-by-step explanation:

Total weekly salary:

regular weekly salary + amount from working over 40 hours

In one full week of 40 hours of work, you earn a regular salary of $340.

For each hour you work over 40 hours, you earn $12.50 per hour.

Let x = number of hours you work over 40 hours.

The amount you make from these extra hours is 12.5x

Your total weekly salary is

340 + 12.5x

You want your total weekly salary to be more than $490.

340 + 12.5x > 490

Answer:

answer

Step-by-step explanation:

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Answer:

The answer is Option D

Step-by-step explanation:

Supplementary angles are angles that sum up to 180 °

Answer:

According to this author, the stories about Nancy Hart  

✔ likely have some basis in truth

.

As a result, they are  

✔ very important

to the study of Georgia’s past

Step-by-step explanation:

I just took it on Edge 2020

Answer:

3.125

Step-by-step explanation:

Hope this helps!! :)

Answer:

3.05

Step-by-step explanation:

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 plus 5 more than 5 is 15