Which statement about the numbers 22.407 and 22.416 is true? 22.407 = 22.416 because the values of the 4 in the tenths places are equal. 22.407 > 22.416 because the value of the 7 in the thousandths place is greater than the value of the 6. 22.407 = 22.416 because the values of the 2 in the ones places are equal. 22.407 < 22.416 because the value of the O in the hundredths place is less than the value of the 1.​

Answer:

a = 0, b = -15

Step-by-step explanation:

Given the following complex number;

x1 = 3(cosπ+isinπ)

x2 = 5(cosπ/2 - isinπ/2)

x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)

x1x2 = 15(0 - i(-1)+0 -0)

x1x2 = 15(-i)

x1x2 = -15i

x1x2 = 0-15i

Since

0 - 15i = a+ bi

Compare

a = 0

-15-  = bi

b = -15

Hence a = 0, b = -15

Answer:

Question:

A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).

Two are drawn at random without replacement.

Find probability of getting two marbles of same colour.

Solution:

We can get either 2B, 2R or 2G as successful outcomes.

To get two blue marbles (2B),

probability of the first one being blue = P(B)=2/11

probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)

Probability that both are blue (use multiplication rule)

P(2B)=(2/11)(1/10)=2/110

Similarly, for two red marbles

P(2R)=(4/11)(3/10)=12/110

and for two green marbles

P(2G)=(5/11)(4/10)=20/110

Since all three events 2B, 2R and 2G are mutually exclusive, the probability

that any one can happen is the sum of the individual probabilities, thus

probability of getting two marbles of the same colour (without replacement)

=P(2B)+P(2R)+P(2G)

=2/110 + 12/110 + 20/110

=34/110

= 17/55

Step-by-step explanation:

4/11

hope this helps

Answer - Function 2

Function 1 - y = 2x (1/3)^x    x = 0 =2*0*1 = 0

Function 2 have the value for 3 for x = 0

Function 2 is greater

Answer:

24:66

Step-by-step explanation:

Answer:

The vertex is ( -6, 3)

Step-by-step explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k  where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)

Answer:

Step-by-step explanation:

Given function:

This is the translation of f(x) = |x|,  6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B

Answer:

i need more space to send the pic i did the math tho

Step-by-step explanation:

Answer:

y = 10

x = 17

Step-by-step explanation:

4y - 3 = 37

4y = 37 + 3

4y = 40

y = 40 / 4

y = 10

3x - 9 = 42

3x = 42 + 9

3x = 51

x = 51 / 3

x = 17

Hope that helps!

Answer:

x = 17

y = 10

Step-by-step explanation:

Parallel sides are equal in length, so set them equal to each other.

3x - 9 = 42 --> Add 9 to both sides.

3x = 51 --> Divide both sides by 3.

x = 17

4y - 3 = 37 --> Add 3 to both sides.

4y = 40 --> Divide both sides by 4.

y = 10

Answer:

I believethe answers are (x-1)(x+3)

Step-by-step explanation:

x^2 + 2x - 3 can be simplified to

(x+3)(x-1)

The factors of this expression are therefore (x+3) and (x-1)

The binomial of each dimension is:

x+3

x-1

Answer:

Step-by-step explanation:

co-ordinates = (2,2) and (-1,-4)

Slope = (y² - y¹) / (x² - x¹)

= (-4 - 2) / (-1 - 2)

= -6 / -3

= 6/3

= 2

Answer:

C) (1, 2)

Step-by-step explanation:

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

              [tex]= (\frac{-2+4}{2},\frac{-2+6}{2})\\\\=(\frac{2}{2},\frac{4}{2})\\\\=(1,2)[/tex]

Answer is 104

Step-by-step explanation:

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

Answer:

Step-by-step explanation:

Answer:

I = $ 800.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 4000 × 0.05 × 4 = 800

I = $ 800.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 5% per year

for 4 years is $ 800.00.

hope it helps :)

Answer:

20%

Step-by-step explanation:

9/45

where C is the circumference, d is the diameter and r is the radius.

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.

If you are given the diameter then use the formula C = πd

If you are given the radius then use the formula C = 2πr

Step-by-step explanation:

The graph of the equation y = -25x + 75 is attached.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25

The equation becomes:

y = -25x + 75

The graph of the equation y = -25x + 75 is attached

Find out more at: https://brainly.com/question/13911928

Answer:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/

45

= 4 16/

45

≅ 4.3555556

hope this helps you

Step-by-step explanation:

Answer:

3.33

Step-by-step explanation:

20 divided by 6 equals 3.33333333333

Round that you get 3.33

Answer:

Step-by-step explanation:

The diagonal of a three dimensional rectangle is defined as

d^2=x^+y^2+h^2 solving for h

h^2=d^2-x^2-y^2

h^2=13^2-3^2-4^2

h^2=169-9-16

d^2=144

d=12

Answer:

33°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{11}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{11}[/tex] ) = 33° ( to the nearest whole number )

Answer:

The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.

Step-by-step explanation:

Answer

Reflected

Step-by-step explanation:

Took test EDGE 2021X

Answer:

DJthresh

ugh yet the wasn't Hagel

Answer:

The answer is 8

Step-by-step explanation:

7x-9=4x+15

7x-4x=15+9

3x=24

x=24/3

x=8

pls mark BRAINLIEST

Answer:

m<ABC=<7x-9=7×8-9=47° is your answer

Step-by-step explanation:

4x+15=7x-9 vertically opposite angle

15+9=7x-4x

x=24/3=8

Answer:

1. 51

2. 30

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We want to simplify:

[tex](3a-2b)^2[/tex]

Recall the perfect square trinomial pattern:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Let a = 3a and b = -2b. Thus:

[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]

Simplify:

[tex]=9a^2-12ab+4b^2[/tex]

Our answer is C.

Answer:

fewaaaaa

Step-by-step explanation:

Answer:

Question 2 is 6

Step-by-step explanation:

I don’t understand what your asking on if you can simplify what is the GCF