What is the greatest common factor for each group?

Answer:

x=2 is the true solution.

Step-by-step explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

Answer:

x = 8

Step-by-step explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

The answer is 3/8

because 2/4 × 2 = 4/8

7/8 - 4/8 = 3/8

Answer:

3/8 of a mile more

Step-by-step explanation:

2/4=4/8

7/8-4/8=3/8

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

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Answer:

#11: 1180.428 571

#12: 80.166... repeating

#13: 237.5

#14: 686

#15: 2682.333 repeating

#16: 122

Step-by-step explanation:

Hopes this helps. Also #12 and #15 are repeating. Just FYI.

Answer:

Step-by-step explanation:

48 + 14 / 2 =  31

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

Answer:

I believe it is C

Step-by-step explanation:

Hope this helps

and if it at all possible and you mark me brainlyest please

Answer:

5 pts isnt a lot but ok.. and yes it is c

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

y= .5x+3

10=.5x+2

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The square root would be 5

Answer:

1. Z =  1.75

2. False Positive

Step-by-step explanation:

1. mean = 1750 calories

standard deviation, sd = 200 calories

value of interest, x = 2,100

z-score is computed as follows:

Z = (x - mean)/sd

Z = (2100 - 1750)/200

Z =  1.75

2. A false positive happens, when a negative case is detected as a positive case

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Answer:

Step-by-step explanation:

Use the cosine ratio, adjacent over hypotenuse. Plug in the values

cos70=x/25.5

Isolate x. Multiply both sides by 25.5

x=25.5*cos70

Enter the equation into a calculator

Answer:

-8/9 is the answer

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

Answer:

20 feet

Step-by-step explanation:

c =  (a² + b²)

c=  (12^2 + 16^2)

c= square root (400)

c= 20

Answer:

C. 448 square centimeters

Step-by-step explanation:

38+18/2(16)

=448 square centimeters

:3

Answer:

6

Step-by-step explanation:

36:    2 2 3 3  

78:    2   3   13

GCF:    2   3  

2x3=6

hope this helps

Answer:

x2 - 4x - 4

 ———————————

    x - 2  

Step-by-step explanation:

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

Answer:

3 * 5 ^ (n-1)

Step-by-step explanation:

3 is the first term and it multiplies by 5

The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

The standard explicit formula for  a geometric sequence is expressed as:

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the sequence of numbers 3, 15, 75, 375...

r = 15/3 = 75/15 = 5

a = 3

Substitute the given parameters into the formula to have:

[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]

Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]

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Answer:

length of arc=2r+teete ×2πr

360

2×13+155°×2×22×13

360. 7

26+155°×572

360. 7

26+88660

2520

88686

2520

35.404

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Answer:

314.961

Step-by-step explanation:

Answer:

1.61 * 10 ^8

3.3    * 10^-7

Step-by-step explanation:

Multiply the numbers  and then add the exponents

2.3 * 10^1  * 7 * 10^6

2.3 *7     * 10^(1+6)

16.1    * 10^7

We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent

1.61 * 10 ^8

Multiply the numbers  and then add the exponents

1.1* 10^-5    3*10^-2

1.1 *3     * 10^(-5+-2)

3.3    * 10^-7

Answer:

1. B

2. C

Step-by-step explanation:

1. 2.3 × 10¹ × 7 × 10⁶

2.3 × 7 × 10^(1+6)

16.1 × 10⁷

1.61 × 10⁸

2. 1.1 × 10^-5 × 3 × 10^-2

1.1 × 3 × 10^(-5-2)

3.3 × 10^-7

Answer:

-2

Step-by-step explanation:

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

Given the linear function written by Jose expressed as f(x) = 5x - 7

Note that the expression is in form of a linear equation y = mx + b where:

x is the input value known as the domain

We are to write the function f(x) = 5x - 7 in words.

Let the domain variable be x

5x means that we are to multiply each element in the domain 5

For 5x - 7, we are to multiply each element in the domain by 5 and subtract 7.

The correct statement that Jose is supposed to have written is that  multiply each element in the domain by 5 and subtract 7

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Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

Answer:

#8 : x=15−y

#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]

#10: y=2A−x

#7: T=[tex]\frac{P}{IR}[/tex]

Step-by-step explanation:

Answer:

p > 6

Step-by-step explanation:

Given

[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )

Multiply both sides by 3 to clear the fraction

p > 6

Answer:

honestly idk

Step-by-step explanation:

it may be p (1/3)

hope this is right:000

Answer: 16.1

Step-by-step explanation:

x^2 = 8^2 + (28/2)^2

x^2=64 + 196

x^2= 260

Take the square root of 260 and get 16.1!

The value of x is x=16.1

The perpendicular from the center of a circle bisects the chord

A line from the center of the circle to the circumference of the circle is the radius of the circle

Lets connect the center of the circle to the other end of the chord that is at the circumference of circle

The diagram attached below

The line OA from the center bisects the chord

AB= half of 28 = 14

the triangle AOB forms a right angle triangle

apply Pythagorean theorem to find out the value of x

[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]

The value of x is 16.1

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