Which two angles below are complementary?

Answer:

Every number in the pattern will have a 0 or a 5 in its ones place

Step-by-step explanation:

Given

Rule: Divide by 2

\(800, 400, 200, 100, [\ ], [\ ]\)

See attachment for complete question

Required

Which statement is true

First, we apply the rule to complete the blanks.

Divide by 2 implies that we divide the current element by 2, to get the next

So, the first blank becomes

\([\ ] = \frac{100}{2} = 50\)

The next is:

\([\ ] = \frac{50}{2} = 25\)

So, we have:

\(800, 400, 200, 100, 50, 25\)

Compare each option with the above dataset, we have:

(a) False; because 25 do not have 0 in its 1's space

(b) False; because 50 and 25 do not have 0 in their 10's space

(c) True; because each of the dataset either have 0 or 5 in their 1's space

The mean absolute deviation (MAD) of the given dataset 4.8, 5.9, 6.2, 10.8, 1.2, 6.4 is equal to 1.9 approximately.

The dataset is equal to ,

4.8, 5.9, 6.2, 10.8, 1.2, 6.4

To find the mean absolute deviation (MAD) of a dataset,

Calculate the mean (average) of the dataset.

Find the absolute difference between each data point and the mean.

Calculate the mean of these absolute differences.

Calculate the mean,

Mean

= (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6

= 35.3 / 6

= 5.88 (rounded to two decimal places)

Find the absolute difference between each data point and the mean,

|4.8 - 5.88| = 1.08

|5.9 - 5.88| = 0.02

|6.2 - 5.88| = 0.32

|10.8 - 5.88| = 4.92

|1.2 - 5.88| = 4.68

|6.4 - 5.88| = 0.52

Calculate the mean of these absolute differences,

MAD

= (1.08 + 0.02 + 0.32 + 4.92 + 4.68 + 0.52) / 6

= 11.54 / 6

= 1.9233 (rounded to four decimal places)

Rounding to the nearest tenth.

Therefore, the mean absolute deviation (MAD) of the dataset is approximately 1.9.

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Answer:

(-14) (4/3k) = -56k/3

Step-by-step explanation:

42/-3 = -14

j/j = 1, so j "cancels"

4k²/3k = 4/3k

Answer:

-14jk

Step-by-step explanation:

Geoffrey buys 48 shares of Deegan Pharmaceuticals at $6.15 each, and his broker charges him a commission of $81. How much did Geoffrey pay for his stock.

The correct option is a.

$376.20. Step-by-step explanation: Cost of each share = $6.15 Number of shares bought = 48Therefore, Total cost of shares = Cost of each share × Number of shares bought= $6.15 × 48= $295.20.

Commission charged by broker = $81Total cost of the shares bought including commission= $295.20 + $81= $376.20Therefore, Geoffrey paid $376.20 for his stock.

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Equation

The answer would be d = 46.41

Answer:

its c

Step-by-step explanation:

When measuring angles, we use degrees as our unit of measurement. To find the measure of an angle to the nearest degree, we need to determine the size of the angle in degrees. An angle is the space between two lines or planes that intersect at a point.

To do this, follow these steps:

1. Identify the angle you need to measure. Look for any given information or reference points in the problem that help you determine which angle is being referred to.
2. Use the appropriate tools or methods to measure the angle. This could be a protractor, a calculator with trigonometric functions, or applying geometric principles depending on the given information.
3. Once you've measured the angle, round your answer to the nearest degree. This means if the decimal is 0.5 or greater, round up to the next whole number; otherwise, round down.
4. Write your final answer as a degree measurement, using the degree symbol (°).

By following these steps, you'll accurately find the measure of the indicated angle to the nearest degree.

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Answer:

It is 24%

Step-by-step explanation:

Answer:

a square

Step-by-step explanation:

Answer:

12:40 is the anwser

Step-by-step explanation:

If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so

3:15 minus 1 hour is 2:15

2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

ANSWER:

\(5.9 \: pounds\)

STEP-BY-STEP EXPLANATION:

Gasoline put into one gallon

\( = \frac{129.8}{22} = \frac{64.9}{11} = 5.9\)

Answer:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Step-by-step explanation:

The given equation is:

4x−8=2(2x−3)

We will try to translate the given equation in English.

We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.

From the given option, correct answer is:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Answer:

\( \frac{3}{7} > \frac{ - 5}{9} > \frac{ - 2}{3} \)

Step-by-step explanation:

Step 1

Fraction \frac{-2}{3}

3

−2

can be rewritten as -\frac{2}{3}−

3

2

by extracting the negative sign.

-\frac{2}{3}<\frac{-5}{9}\text{ and }\frac{-5}{9}<\frac{3}{7}−

3

2

<

9

−5

and

9

−5

<

7

3

Step 2

Fraction \frac{-5}{9}

9

−5

can be rewritten as -\frac{5}{9}−

9

5

by extracting the negative sign.

-\frac{2}{3}<-\frac{5}{9}\text{ and }\frac{-5}{9}<\frac{3}{7}−

3

2

<−

9

5

and

9

−5

<

7

3

Step 3

Least common multiple of 33 and 99 is 99. Convert -\frac{2}{3}−

3

2

and -\frac{5}{9}−

9

5

to fractions with denominator 99.

-\frac{6}{9}<-\frac{5}{9}\text{ and }\frac{-5}{9}<\frac{3}{7}−

9

6

<−

9

5

and

9

−5

<

7

3

Step 4

Compare -\frac{6}{9}−

9

6

and -\frac{5}{9}−

9

5

.

\text{true}\text{ and }\frac{-5}{9}<\frac{3}{7}true and

9

−5

<

7

3

Step 5

Fraction \frac{-5}{9}

9

−5

can be rewritten as -\frac{5}{9}−

9

5

by extracting the negative sign.

\text{true}\text{ and }-\frac{5}{9}<\frac{3}{7}true and −

9

5

<

7

3

Step 6

Least common multiple of 99 and 77 is 6363. Convert -\frac{5}{9}−

9

5

and \frac{3}{7}

7

3

to fractions with denominator 6363.

\text{true}\text{ and }-\frac{35}{63}<\frac{27}{63}true and −

63

35

<

63

27

Step 7

Compare -\frac{35}{63}−

63

35

and \frac{27}{63}

63

27

.

\text{true}\text{ and }\text{true}true and true

Step 8

The conjunction of \text{true}true and \text{true}true is \text{true}true.

\text{true}true

Hint

Do the arithmetic.

Solution

\text{true}true

1 tablespoon is equivalent to 3 teaspoons

To find the equivalence of 3 1/3 tablespoons in teaspoons, we can use the next proportion:

Solving for x:

Barbara must use 10 teaspoons

Answer:

The answer would be 50.

Step-by-step explanation:

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

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Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Answer:

a will equal 16

Step-by-step explanation:

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by \(f^{-1}\) or \(F^{-1}\).

According to the given equation.

We have a function.

\(f(x) = 3(x-4)^{2} +5\)

The above function can be written as

\(y = 3(x-4)^{2} +5\)

Write the above function for x.

\(\implies y -5 = 3(x-4)^{2}\)

\(\implies \frac{y-5}{3} = (x-4)^{2}\)

\(\implies \sqrt{\frac{y-5}{3} } =x-4\)

\(\implies \sqrt{\frac{y-5}{3} } +4=x\)

\(0r\ x = \sqrt{\frac{y-5}{3}}+4\)

Replace \(x\) by \(f^{-1}(x)\) and \(y\) by \(x\).

We get

\(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\)

Hence, the inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

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Answer:

x = 2, x = -7

Step-by-step explanation:

Hello!

First, let's factor the equation by grouping.

Set each factor with x equal to 0, and solve for x.

The solutions for x are 2 and -7.

Answer: Letter B.

Step-by-step explanation:

For f(1/2), f(x) = 1/x, if so; is the inverse of the inverse of 2, that is 1/1/2 = 2. As for f(49), f(x) = sqrt(x), and so f(49) = 7, leaving only letter B.

Answer:

D. -1

Step-by-step explanation:

\( \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)\)

Begin by distributing the term outside of the parentheses to each term inside.

\(2x - 5 = 5x - 2\)

Now subtract 2x from each side to isolate the variable.

\( - 5 = 3x - 2\)

Add 2 to each side.

\( - 3 = 3x\)

Divide by 3 to solve for x.

\( - 1 = x\)

For given function g(x) = x^4 - 2x^3 - 3x the value of x such that g'(x) = 12 is x = 2.24

In this question, we have been given a function g(x) = x^4 - 2x^3 - 3x

We need to find the value of x such that g'(x) = 12

First we find the derivative of given function g(x) with respect to x

g'(x) = 4x³ - 6x² - 3

When g'(x) = 12

4x³ - 6x² - 3 = 12

4x³ - 6x² - 3 + 3 = 12 + 3

4x³ - 6x² - 15 = 0

After solving given polynomial we get,

x = 2.24

Therefore,  the value of x is 2.24

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Answer:

242

Step-by-step explanation:

Rule out anything above five from being the ones number as it wouldn't be possible to be doubled for the tens.

After that it is just trial and error putting 1,2,3,4 in the tens and following the word equation.

121 = doesn't equal 8

363= doesn't

484 = doesn't

thats leaves 242 which follows the pattern and equals 8

The probability of getting TTH or THH is (1/2) * (1/2) * (1/2) = 1/8, as each toss is independent and has a probability of 1/2.

To find the probability that a fair coin is flipped a multiple of three times before coming up heads, we can consider the possible outcomes. Let's denote H as heads and T as tails.

The first toss can either be T or H with equal probabilities of 1/2 each. If it's H, the experiment ends. If it's T, we move to the second toss.

For the second toss, the possibilities are TH or TT. If it's TH, the experiment ends. If it's TT, we move to the third toss.

For the third toss, the possibilities are TTH, TTT, or THH. If it's TTH or THH, the experiment ends. If it's TTT, we move to the fourth toss.

Following this pattern, we can see that the experiment ends when we get TTH, THH, TTTTH, TTTTTTH, or any sequence of T's followed by H. These are the outcomes where the coin is flipped a multiple of three times before coming up heads.

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Answer:

Step-by-step explanation:

See attachment

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

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Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

The length of NP is 4 units.

To find NP.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given that:

Let MN be of length x.

Therefore, NP = 4+3*x

Since, MP = MN+NP

→ MP = x+4+3*x

→ 4= x+4+3*x

Since MP=4

→ 4 = 4+4*x

→ 4*x = 4-4

→ 4*x = 0

→ x = 0.

Therefore, NP = 4+3*x

→ NP = 4+3*0 = 4.

So, the length of NP is 4 units.

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The cow can graze in the total area of the barn, that is, in 1800m²

To calculate the area that the cow has available to graze, we must take into account the following data:

According to the above, we must find the area of circumference that the cow tied with the 50m rope can graze.

On the other hand, we find the area of the barn:

According to the above and the graph, it can be inferred that the cow has the ability to graze in the entire barn area.

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