Which number is equivalent to 16 to the power of 1/2 ?

A
2

B
4

C
8

D
32

1: \(3n^{2}+9n+6\)

notice that each part is divisible by 3

\(3n^{2}\) ÷ 3 = \(n^{2}\)

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes \(3(n^{2} +3n+2)\)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

\(3(n^{2} +2n+n+2)\)

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is \(n^{2} +2n+n+2\) and then each of those by 3, which is \(3n^{2} +6n+3n+6\) or \(3n^{2}+9n+6\), our origional equation

2: \(28+x^{2} -11x\)

So I rewrote this as \(x^{2} -11x+28\) (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

\(x^{2} -4x-7x+28\)

now we can factor out x from the first expression and -7 from the second

\(x(x-4)-7(x-4)\)

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to \(x^{2} -11x+28\)

3: \(9x^{2} -12x+4\)

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as \(3^{2}\) and 4 as \(2^{2}\), the equation becomes

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

now that \(3^{2} x^{2}\) is ugly so it can be turned into \((3x)^{2}\)

and -12x can be rewritten as \(-2*3x*2\)

so our equation now looks like \((3x)^2-2*3x*2+2^{2}\)

There's a rule that says \(a^{2} -2ab+b^{2} = (a-b)^{2}\)

In our case, a=3x and b=2

so the final answer is

\((3x-2)^2\)

Answer:

Step-by-step explanation:

phone: it looks like the x axis. It's not. See the rainbow in quad 1. That's the way a reflection should look like.

star: y axis

skate: y axis

camera: neither. Look at the buttons. They should be reversed.

cherry: x axis

Strawberry: x axis

Rainbow: x axis

Answer:

Shooting start = Y axis

Roller skates = Y axis

phone = X axis

Rainbow = X axis

Strawberry = X axis

Cherry = Y axis

Camera = Y axis

Step-by-step explanation:

Step-by-step explanation:

Substitute f(3) into the function:

\(f(3) = - 5(2)^{3} \)

Include exponent:

\(f(3) = - 5(8)\)

Multiply:

\(f(3) = - 40\)

The required capacity of the mug is 12/5 cups of water.

The fundamental function of a ratio is to compare quantities, i.e., to illustrate the relative importance of one quantity to another.

If a and b are two values, their ratio will be a:b,

Given that,

The mug is 1/6 full of the water.

Also,

The mug contains 2/5 of the cup of water.

To find the capacity of the mug,

Use ratio property,

1/6 full mug contains = 2/5 cup of water,

1 full mug contains = (2/5) x 6 cup of water

1 full mug contains = 12 / 5 cup of water.

Hence, the capacity of the mug equal to 12/5 cup of water.

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there are 160 plastic cubes that can fit into the box.

Step-by-step explanation:

brainlist plz

Answer:

27

Step-by-step explanation:

I took the same test

An equation of this line in slope-intercept form is y = x - 1.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-1, -2) and a slope of -1, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = -1(x - (-1))  

y + 2 = x + 1

y = x + 1 - 2

y = x - 1

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Complete Question:

Write an equation of a line through point (-1, -2) with a slope of -1.

Answer: (\(\frac{-3}{5}\), 1) and (\(\frac{-3}{5}\), 3) are two you could use, but there are countless possibilities.

Step-by-step explanation:

   To solve this question, we will first isolate the variable x.

       -5x = 3

       \(\displaystyle \frac{-5x}{-5} =\frac{3}{-5}\)

       x = \(\frac{-3}{5}\)

   Next, we will find points that satisfy the equation. Any value in the y-coordinate will work as long as x = \(\frac{-3}{5}\). Some examples:

(\(\frac{-3}{5}\), 1)

(\(\frac{-3}{5}\), 6)

(\(\frac{-3}{5}\), -4)

(\(\frac{-3}{5}\), \(\frac{1}{2}\))

(\(\frac{-3}{5}\), 0)

     Etcetera.

   I have attached a graph with two of the examples to further show. This graph uses (\(\frac{-3}{5}\), 1) and (\(\frac{-3}{5}\), 6). Negative three-fifths is equal to -0.6.

Answer:

12.50p+50.00 and 50(0.25p + 1.00)

im positive of both answers

Linear, polynomial, and quadratic functions can be both increasing or decreasing functions. Exponential function is monotonically increasing function. The derivative of a function may be used to determine whether the function is increasing or decreasing. Exponential functions eventually exceed all other increasing functions.

Function, in mathematics, refers to an expression or rule that describes a relationship between two or more variables. A function is said to be an increasing function when the y-value increases as the x-value increases and vice versa. In order to determine whether the function is increasing or decreasing, the derivative of a function may be used on any intervals in its domain.  If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I. From the given function options, Exponential functions eventually exceed all other increasing functions as the one of variable is in the exponential leading an exponential increase and not a constant increase.

Note: The question is incomplete. The complete question probably is: From the following, Which functions are increasing? How to know if a function is increasing or decreasing?; Which section of the function is increasing?; Which type of increasing function eventually exceeds all other increasing functions? A) linear B) exponential C) polynomial D) quadratic.

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Answer:

Step-by-step explanation:

you only need to find the perimeter,

add the lengths of the rectangle's four sides

85+25+85+25=

220m

Step-by-step explanation:

Answer:

The answer is Zack garden

For the given graph of absolute value equation d = (1/5)|s-250| -50 , the point that represents the horizontal distance from the given left shore when river bottom is 20 feet below the given surface is equal to 400 feet or 100 feet.

As given in the question,

Given absolute value equation is:

d = (1/5)|s-250| -50

Simplify it for the river bottom d =-20 feet below the given surface

-20 = (1/5)|s-250| -50

⇒-20(5) = | s- 250| - 250

⇒ 250 -100 = |s-250|

⇒ 150 = | s- 250|

⇒ s - 250 = 150 or s -250 = -150

⇒ s= 400 feet or s = 100 feet

Graph of the equation is attached.

Therefore, for the given graph of absolute value equation d = (1/5)|s-250| -50 , the point that represents the horizontal distance from the given left shore when river bottom is 20 feet below the given surface is equal to 400 feet or 100 feet.

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Answer:

The slope is going to be 5 and the y-intercept is going to be (0,9)

Step-by-step explanation:

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

The number before x in an expression is going to be the slope of the equation. and the number by itself is your y-intercept of the equation.

What is your y-intercept?

The y intercept is the point on which your line crosses on the y axis.

The line will cross on the number 9 which causes 9 to be the y-intercept.

Answer:

15 %

Step-by-step explanation:

move the decimal girlys

Answer:

15%

Step-by-step explanation:

1/5 = 2/10. 2/10 = 20%

0.51 = 51%

15% is the least

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

D.  3

Step-by-step explanation:

Look at rectangle ABCD.  It's dimensions are 1 by 2 (1 unit high and 2 units long).  Now look at rectangle A'B'C'D', the image.  It's a rectangle that is 3 by 6.

The dimensions of the original rectangle have been multiplied by 3.

Answer:

would be the first one

Step-by-step explanation:

product means multiplication. so the product of x and 0.28 would be x × 0.28 or 0.28x

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

The sum of given two expressions x+9 and 7x²-2x+1 results in the expression 7x² - x + 10.

To find the sum of two expressions, we simply add their like terms.

The given expressions are x+9 and 7x²-2x+1.

The first expression has two terms - x and 9.

The second expression has three terms - 7x², -2x, and 1.

We cannot add the terms of the two expressions directly since they are not like terms. However, we can simplify the expressions and then add the like terms.

First, we can simplify the second expression by combining the like terms -2x and 1.

7x² - 2x + 1 = 7x² - (2x - 1)

Now, we can add the like terms from both expressions.

(x + 9) + (7x² - 2x + 1) = x + 7x² - (2x - 1) + 9

= 7x² - x + 10

Note that we could also have added the two expressions without simplifying the second expression first. We would get the same result.

(x + 9) + (7x² - 2x + 1) = x + 7x² - 2x + 9 + 1

= 7x² - x + 10

In either case, the final answer is 7x² - x + 10.

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log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

6n - 5 = c, 6n - 5 + n, 7n - 5

Step-by-step explanation:

Pretty much whatever Nina has, Clayton has 6 times that and minus 5. n = Nina, c = Clayton. 6n - 5 + n should also work if they are asking to add both, which can be simplified to 7n - 5.

Hopefully, this helps since the question is kind of worded to confuse, but the answer I gave should be good.

First, the length of the red ring the outside to inside is 3 units (10-7).

then, do area of bigger circle - smaller circle.

\(10\pi ^2-7\pi ^2\) = \(3\pi ^2\) which is about \(29.6^2\) units

Evaluating the expression (x - 2)/(x - 1) = (x - 1 + 2)/(x + 1)(x - 1), we get x = 1

From the question, we have the following parameters that can be used in our computation:

(x - 2)/(x - 1) = (x - 1 + 2)/(x + 1)(x - 1)

Evaluating the like terms, we have

(x - 2)/(x - 1) = (x + 1)/(x + 1)(x - 1)

Cancel out the common factors

So, we have

(x - 2) = 1

Add 2 to both sides

x = 3

Hence, the solution is 3

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Answer:

6 votes!

Step-by-step explanation:

Albert: 60% of 30= 18

Anthony: 40% of 30= 12

18 - 12= 6

Answer:

a = \(\frac{d}{b+c}\)

Step-by-step explanation:

a(b + c) = d

isolate a by dividing both sides by b + c

a = \(\frac{d}{b+c}\)

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

When the number of milligrams reaches 11, the drug is to be injected again. We need approximately 6.7 hours between injections.

The given function is D(h)=30\(e^{-0.35h\), which gives the number of milligrams D(h) of the drug in the patient's bloodstream h hours after it is injected.

When the drug is injected again, the number of milligrams in the bloodstream will be 11. Therefore, we need to find the value of h that satisfies the equation:

11 = 30\(e^{-0.35h\)

To solve for h, we can first divide both sides by 30:

11/30 = \(e^{-0.35h\)

Next, we take the natural logarithm of both sides:

ln(11/30) = ln(\(e^{-0.35h\))

Using the property of logarithms that ln(eˣ) = x, we can simplify the right side:

ln(11/30) = -0.35h

Finally, we can solve for h by dividing both sides by -0.35 and multiplying by -1:

h = (-1/0.35)ln(11/30)

Using a calculator, we get:

h ≈ 6.7

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