he negative square root of 16 is -4. What is the square root of -16?

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Reason:

[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

[tex]2^6 = (2*2*2)*(2*2*2)[/tex]

The parenthesis are optional, but I find they're handy to count the '2's easier.

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Now notice that

[tex]2^3 = 2*2*2[/tex]

So,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]

The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.

This shows that choice C is equivalent to A and B.

-------------------

Lastly,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]

The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.

This shows choice D is equivalent to the others.

All four expressions are the same.

They represent different ways to say the same number. That number being 64.

Answer: 10

Step-by-step explanation: that is the answer because you can not simplify it any further

A:

16a^2-24a+9

16a^2-12a-12a+9

4a(4a-3)-3(4a-3)

(4a-3)(4a-3)

(4a-3)^2

(4a-3)^2

B: Use difference of squares method

(3a+5b)(3a−5b)

Part A: The length of each side of the square is (4a - 3) units.

Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).

Part A:

The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.

To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).

The area expression is a quadratic trinomial: 16a² - 24a + 9.

To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).

To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).

The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.

Now, rewrite the middle term (-24a) using -12a - 12a:

16a² - 12a - 12a + 9

Group the terms and factor by grouping:

(16a² - 12a) - (12a - 9)

Now, factor out the greatest common factor (GCF) from each group:

4a(4a - 3) - 3(4a - 3)

Now, notice that we have a common binomial factor of (4a - 3):

(4a - 3)(4a - 3)

Since both binomials are the same, we can rewrite it as (4a - 3)^2.

Now, set (4a - 3)^2 equal to (s^2):

(4a - 3)^2 = s^2

To find the length of each side (s), take the square root of both sides:

√((4a - 3)^2) = √(s^2)

4a - 3 = s

Therefore, the length of each side of the square is (4a - 3) units.

Part B:

The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.

To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.

The area expression is a difference of squares: 9a² - 25b².

To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).

In this case, a = 3a and b = 5b:

9a² - 25b² = (3a + 5b)(3a - 5b)

Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).

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Answer:

[tex]1.8 \text{ x } 10^5[/tex]

Step-by-step explanation:

Hello!

To multiply terms, we multiply the like terms.

Like terms:

Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.

Multiply:

That's your solution! 1.8 x 10^5

Answer:

S₄₀ = 2780

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

14 - 11 = 17 - 14 = 3

this indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 3 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]

      = 20( 22 + 117)

      = 20 × 139

      = 2780

The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of this expenses,

Miranda's Total

= cost of flight + lodging costs + cost of food and other spending

= 928 ti + 755 ti + 814 ti

= 2497 ti

Hence, Miranda's total will be equal to 2497 Turkish lira.

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Answer: b. 2,497 TL

<3

Hello and Good Morning/Afternoon:

Let's take this step-by-step:

By looking at this diagram:

 [tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]

    [tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]

                 [tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]

         [tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]

With all these angles' measures:

  ⇒ we have a 45-45-90 triangle

       ⇒ which has some special properties (look at the diagram attached)

Based on the diagram:

 [tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]

Answer: [tex]14\sqrt{2}[/tex]

Hope that helps!

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Answer:

18h × 6g is equivalent to 6(3h + g)

because 6 x 3 = 18 and 6 x 1 = 6

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

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Answer:

C on edge

Step-by-step explanation:

3

Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, the base prices and the chage in price is given as:

Item                Base Price                    Change Direction

Blender            $29.73                           9% Markdown

Hat                   $14.16                             77% Markup

Ink                    $20.17                            27% Markup

Heater             $28.46                           22% Markdown

Calculating the resultant price:

Resultant price = 29.73 - 9% of 29.73

[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]

Resultant price = 14.16 + 77% of 14.16

[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]

Resultant price = 20.17 + 27% of 20.17

[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]

Resultant price = 28.46 - 22% of 28.46

[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]

Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

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Answer:

28 inches

Step-by-step explanation:

[tex]P = 2(l+w)[/tex]

[tex]P=2(9+5)[/tex]

[tex]P=2(14)[/tex]

[tex]P=28[/tex]

Answer:

24 cm³

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the area of the base by the height.  V=lwh.  V=(1.5)(2)(8)=24 cm³

Answer:

the answer should be 24

Step-by-step explanation:

1.5 x 2 = 3

3 x 8 = 24

V = L x W x H

V = 1.5 x 2 x 8

Answer:

The answer is 12

Step-by-step explanation:

1/2x 12 = 6

6/2-2+11 = 12

The final answer is 12

Answer:

k > 13

Step-by-step explanation:

[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]k+6-6 > 19-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]k > 13[/tex]

Thus, the answer is k > 13

[RevyBreeze]

Answer:

I'm not sure but if this is on a calculus paper, this may put you on the right track?

Step-by-step explanation:

definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.

The value of 0.36 when converted to a fraction in the simplest form is 9/25.

Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.

From example, let's convert 0.36 to a fraction on its simplest form. This will be:

0.36 = 36/100 = 9/25

In conclusion, 0.36 is 9/25 in the simplest form.

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Answer:

The answers are C, D, and F

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

817.099 is the smallest

please give brainliest

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

Answer:

Step-by-step explanation:

where is exercise 4-9?

or at least give us the equation

The computation of the significance level shows that the p-value is less than 0.01 and the conclusion is that Americans use the internet more than 7 hours weekly.

It should be noted that the significance level simply means the probability that an event occured by chance.

From the complete question, it can be noted that at 0.01 significance level, the t statistic is 17.873 and the degree of freedom is 539.

The p-value for the right tailed test is 0. Therefore, since the p value is less than 0.01, we will reject the null hypothesis. The conclusion is that Americans use the internet more than 7 hours weekly.

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Answer: 99%

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

6/(2)+4

3+4

7(BODMAS)

But if you use calculator it we give you

5

Answer:

V≈220.89cm³

Step-by-step explanation:

Answer: 220.9

4/3 π(3.75)^3=220.9

Answer:

Top question) 12

Bottom question) 16

Step-by-step explanation:

top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.

bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box

Hope this helps! pls mark brainliest

[tex]\huge\fbox\purple{ANSWER} [/tex]

[tex] \mathsf\pink{v = l \times w \times h}[/tex]

[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]

[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]

[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]

[tex] \mathsf \pink{6in = c}[/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ Hence "c" (length) of Rectangular prism (shipping carton) is

[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]

Hope it helps !

Answer:

The sandbox is most likely in the shape of a kite. As it has only two right angles, it cannot be a square or other form of rectangle. It also cannot be a parallelogram, which has no right angles, nor is it a rhombus- all four sides are not of the same length.

A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.