Which is the graph of F(x)= sqrt 4x

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

Answer:

2674

Step-by-step explanation:

267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.

Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.

The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

⇒

θ

=

tan

−

1

(

y

x

)

⇒

θ

=

tan

−

1

(

−

3

4

)

=

tan

−

1

(

−

0.75

)

⇒

θ

=

−

0.64

⇒

θ

≈

−

36.67

°

Because

tan

−

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

−

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Answer and Step-by-step explanation:

Answer:

A: 163

Step-by-step explanation:

Pit this in your calculator exactly like this 20(1.30)^8 Then hit x^y  to the power of 8 and you get the answer 163.1461442 So round your answer to the nearest whole number, will be 163.

There are 163 bacteria after 8 years

The given parameters are:

Initial (a) = 20

Rate (r) = 30%

So, the exponential function is:

\(y = a(1 + r)^x\)

This gives

\(y = 20(1 + 30\%)^x\)

After 8 years, we have:

\(y = 20(1 + 30\%)^8\)

Evaluate

\(y = 163\)

Hence, there are 163 bacteria after 8 years

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The length of AB is AB = 8 units.

What is distance between two points?

The length of a straight line in the coordinate plane that connects two points in space is what is referred to as their distance. We use the absolute value to calculate the distance between any two points because it is impossible for this distance to be negative.

Consider, the given points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7).

We have to find the length of AB.

Consider, the distance formula,

\(d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\)

where,

\((x_1, y_1)\) and \((x_2, y_2)\) are the points.

Here,

\((x_1, x_2) = (-4, -3)\\(x_2, y_2) = (4, -3)\)

Plug these values in the above formula,

\(d = \sqrt{(4-(-4))^2+(-3-(-3))^2} \\d = \sqrt{8^2 +0^2} \\d = \sqrt{8^2} \\d = 8\)

Hence, the length of AB is AB = 8 units.

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Answer: Jarrod has earned more this year

Step-by-step explanation:

 You can follow the picture I have uploaded if you need help with the explanation :)

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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Answer:

1. x+14 = 17

2. x+10 = 114

3. x-12 = 20

4. 10(x/2+6) =8

5. 2(l+2b) = 126feet

6. 175$-120$ = 50$

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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The table can be complete based on the function given by substituting as:

When s = 0, M(s) = -3

When s = 4, M(s) = 7

When s = 9, M(s) = 12

Given a function,

M(s) = 5√s - 3

Substitute each of the value of s to find the corresponding value of M(s).

When s = 0,

M(s) = 5√0 - 3 = 0 - 3 = -3

When s = 4,

M(s) = 5√4 - 3 = 10 - 3 = 7

When s = 9,

M(s) = 5√9 - 3 = 15 - 3 = 12

Hence the blank spaces are -3, 7 and 12.

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Answer:

y=4

Step-by-step explanation:

sub point into the general equation

y=mx+c

m=0

x=-2

y=4

4=(0)(-2)+c

c=4

Therefore the equation is y=0x+4

simplified the equation of the line is y=4

(PS if the gradient or slope is 0 then the line is horizontal)

Answer:

y=x+6 I think

Step-by-step explanation:

I have done this problem before so yeah

Hope this helps:)

Answer:

b

Step-by-step explanation:

Answer:

10 pair of soccer shorts.

Step-by-step explanation:

Let the unknown be x.

Translating the word problem into an algebraic equation, we have;

2/5 yard = 1 pair of short

4 yard = x pair of short

Cross-multiplying, we have;

2x/5 = 4

Multiplying both sides by 5, we have;

2x = 20

x = 20/2

x = 10 pair of soccer shorts.

Answer:

The answer is \(12\log{(x(x-2))}\)

Step-by-step explanation:

Exponential property of logarithm:

We have that:

\(a \log{x} = \log{x^{a}}\)

Sum of logarithms:

We have that:

\(\log{a} + \log{b} = \log{ab}\)

Applying the exponential property:

\(3\log{x} = \log{x^3}\)

\(4\log{(x-2)} = \log{(x-2)^4}\)

So

\(3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}\)

Additive property

\(\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}\)

Exponential property:

\(\log{(x(x-2))^12} = 12\log{(x(x-2))}\)

The answer is \(12\log{(x(x-2))}\)

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer:

i have the same question

Step-by-step explanation:

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

Answer:

Step-by-step explanation:

(5x - 1) (5x - 1)

= \((5x - 1)^{2}\)

Using laws of exponents,

\((a - b)^{2} = a^{2} - 2ab + b^{2}\)

here, a = 5x, b = 1

so it becomes,

\(5x^{2}\) - 2 × 5x × 1 + \(1^{2}\)

\(25x^{2}\) - 10x + 1

Hope this helps

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Answer:

81.2 feet (nearest tenth)

Step-by-step explanation:

We want to know the equation of the line with the data given:

In slope intercept form. In general, the slope intercept form is given by:

where m represents the slope, and b the y-intercept. In this case, we just have to replace the values onto the formula and obtain the equation:

Now, assuming that p and o represent the values of slope and y-intercept of another line, we get that the corresponding equation will be:

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

\((8 - 3)^2 = 5^2\)

Step-by-step explanation:

Given

\((8 - 3)\)

Required

Determine the second power

The second power of an expression is the square of the expression.

So, the second power of \((8 - 3)\) is

\((8 - 3)^2\)

Solving further:

\((8 - 3)^2 = 5^2\)

Hence:

Option (c) is correct

If a car goes from 12 m/s to a complete stop in 55 seconds, the acceleration is -0.22 meter per second square

The initial velocity of car =  12 m/s

The final velocity of car = 0 m/s

The time taken = 55 seconds

We know,

v = u + at

Where v is the final velocity

u is the initial velocity

a is the acceleration

t is the time taken

Substitute the values in the equation

0 = 12 + a× 55

55a = -12

a = -12/55

a = -0.22 meter per second square

Hence, if a car goes from 12 m/s to a complete stop in 55 seconds, the acceleration is -0.22 meter per second square

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Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Answer:

08:05 I think

Step-by-step explanation:

11:50 - 3 hours = 8:50

8:50 - 45 mins = 8:05

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b