Example 1 ans needed

Answer:

m

Step-by-step explanation:

vfmjj vdzaazb knkuvggb

Answer:

$10.20

Step-by-step explanation:

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Answer: Yes-Yes-No-Yes-No

Step-by-step explanation:

Integers are whole numbers, positive, negative or zero. They cannot be fractional or irrational numbers

-18/6 = -3, integer

26 = integer

3/2 = 1.5 = not an integer, not whole

79 = integer

-89.25 = not an integer, not whole

Answer:

\(\large\boxed{\tt\red{See \ Below.}}\)

Step-by-step explanation:

\(\textsf{We are asked to identify whether or not a number is an integer.}\)

\(\large\underline{\textsf{What are Integers?}}\)

\(\textsf{Integers are only whole numbers that can be positive or negative.}\)

\(\underline{\textsf{Examples;}}\)

\(\textsf{35 is an Integer.}\)

\(\textsf{-2.5 is not an integer.}\)

\(\textsf{-27 is an integer.}\)

\(\tt -\frac{4}{5} \ \textsf{is not an Integer.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Let's identify the 5 numbers as integers, or not.}\)

\(\tt -\frac{18}{6} \ \textsf{is the same as -3, hence it's an integer. \boxed{\tt Yes.}}\)

\(\textsf{26 is an interger. \boxed{\tt Yes.}}\)

\(\tt \frac{3}{2} \ \textsf{is the same as 1.5, it's not an integer since it's not a whole number. \boxed{\tt No.}}\)

\(\textsf{79 is an integer. \boxed{\tt Yes.}}\)

\(\textsf{ -89.25 is not an integer, since it's not a whole number. \boxed{\tt No.}}\)

\(\textsf{They're integers since they are whole numbers. Others aren't since they're not.}\)

Side length of the base of the bed is √2.

A square is a plane shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The bed's base will be square.

An area of 2 square meters.

So, the area A=a2 is 2=a2

So, the area of square is √2

Therefore, Side length of the base of the bed is √2

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Answer:

M AED = 32.5º

Explanation:

M AED = 1/2 x (113º - 48º) = 32.5º

This is an example of angles with vertex outside the circle and their arcs. The formula to find the measure of an angle with the vertex outside the circle is 1/2 x (difference of intercepted arcs), in this case it's 1/2 x (113º - 48º), which equals 32.5º.

Jack and Jill went for a walk separately. Jack’s total distance in blocks, x, was thirty blocks fewer than twice Jill’s total distance in blocks, y. The difference between five times Jack’s total distance and twice Jill’s total distance is ten blocks. 10 blocks did Jack and Jill each walk. This can be solved by solving equations.

An equation is an algebraic statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal (=)"

x= 2y -30 ............. (1)

5x-2y=10 ............. (2)

substitute x= 2y-30 into the 2nd equation

or, 5(2y-30)-2y = 10

or, 10y-150-2y=10

or, 10y -150-2y= 10

or, 8y-150=10

After adding 150 on both sides we get:

or, 8y = 160

so, y = 20  

substitute y=20 into x = 2y-30

so, x = 40-30

so x = 10 & y = 20

thus, 10 blocks did Jack and Jill each walk.

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Answer:

\(y = 4\)

Step-by-step explanation:

First, find the derivative of f:

\(\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}\)

Find the instantaneous slope at x = 1:

\(\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}\)

From the point-slope form, find the equation of the line:
\(\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}\)

In conclusion, the equation of the tangent line is y = 4.

Answer:

radius

Step-by-step explanation:

Answer:

(4, 11 ) ; (- 4, 27 )

Step-by-step explanation:

Given

f(x) = x² - 2x + 3 → (1)

f(x) = - 2x + 19 → (2)

Substitute f(x) = x² - 2x + 3 into (2)

x² - 2x + 3 = - 2x + 19 ( add 2x to both sides )

x² + 3 = 19 ( subtract 3 from both sides )

x² = 16 ( take square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

Substitute these values into (2) for corresponding values of y

x = 4 : y = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

x = - 4 : y = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

Answer:

1= B 2=A 3=B

Step-by-step explanation:

there I think that right

Answer: A. The statement is false. The pivot positions in a matrix are determined completely by the positions of the leading entries in the nonzero rows of any echelon form obtained from the matrix.

Step-by-step explanation:

A pivot position is simply referred to as a location in a matrix row echelon form that's reduced which equates to leading 1.

From the question, we are given a statement that the pivot positions in a matrix depend on whether row interchanges are used in the row reduction process

It should be noted that the statement is false as the pivot positions in a matrix are determined completely by the positions of the leading entries in the nonzero rows of any echelon form obtained from the matrix.

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

D. f(x)

domain: all real numbers, range: all real numbers

f–1(x)

domain: all real numbers, range: all real numbers

Ted bought 3 notebooks and 5 folders for $27

You know that each notebook cost $4, to the cost for the notebooks he bought can be calculated as the price per notebook multiplied by the number of notebooks bought:

→ He spent $12 on the three notebooks.

Let "f" represent the cost per folder, then 5f represents the cost of all folders, we know that the notebooks plus the folders cost $27, then:

From this expression, you can determine the cost of each folder, first subtract 12 from both sides of the equation:

Now divide both sides by 5 to determine the value of "f":

f=3 → This means that each folder costs $3

a = amount invested at 4%

how much is 4% of "a"? (4/100) * "a", namely 0.04a.

b = amount invested at 10%

how much is 10% of "b"? (10/100) * "b", namely 0.10b.

c = amount invested at 14%

how much is 14% of "c"? (14/100) * "c", namely 0.14c.

we know the total amount invested is 6000, so whatever "a" and "b" and "c" might be, we know that a + b +c = 6000.

we also know that the yielded amount in interest is $652, so if we simply add their interest, that'd be 0.04a + 0.10b + 0.14c.

the combined amount of "a" and "b" is simply a + b, and we also know that "c" is that much plus 200, namely "c = a + b + 200".

\(a+b+c=6000\hspace{5em}\underline{c=a+b+200} \\\\\\ a+b+\stackrel{c}{(a+b+200)}=6000\implies 2a+2b+200=6000\implies 2a+2b=5800 \\\\\\ 2b=5800-2a\implies b=\cfrac{5800-2a}{2}\implies \boxed{b=2900-a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{c=a+b+200}\implies \stackrel{substituting}{c=a+(\underset{b}{2900-a})+200}\implies c=a+2900-a+200 \\\\\\ c=2900+200\implies {\Large \begin{array}{llll} c=3100 \end{array}} \\\\[-0.35em] ~\dotfill\)

\(0.04a+0.10b+0.14c=652\implies \stackrel{\textit{substituting}}{0.04a+0.10(\underset{b}{2900-a})+0.14(\underset{c}{3100})}=652 \\\\\\ 0.04a+290-0.10a+434=652\implies 0.04a-0.10a+724=652 \\\\\\ 0.04a-0.10a=-72\implies -0.06a=-72 \\\\\\ a=\cfrac{-72}{-0.06}\implies {\Large \begin{array}{llll} a=1200 \end{array}} \hspace{5em} \stackrel{6000-3100-1200}{{\Large \begin{array}{llll} b=1700 \end{array}}}\)

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.

Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.

The initial product of the two numbers is:

A x B

If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:

(12A) x (B/4) = (12/4) x A x B = 3AB

So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.

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Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)

Since time must be positive, t = 21.

The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

6x³

Step-by-step explanation:

X x X = x² + 4x + 2x = 6x³

Answer:

35,620

Step-by-step explanation:

I hope this helped!

Answer:

35,620

Step-by-step explanation:

Its right

Answer:

the answer is 71.092

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

\(2 \times a^{3} \)

The statement can be written as - f(x) = 2 x \(n^{3}\).

We have to find the product of 2 and the cube of a number.

Assume the two numbers be a and b.

Then -

log(a) + log(b) = nπ

log(ab) = nπ

ab = \($e^{n\pi }\)

According to the question, we have -

Assume the number to be n.

Then the statement " the product of 2 and the cube of a number" can be written in the form of a function as -

f(x) = 2 x \(n^{3}\)

Hence, the statement can be written as - f(x) = 2 x \(n^{3}\)

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The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

937000

:)

Step by Step Ex:

Answer:940000

Step-by-step explanation: if number that is right of the number you are rounding is 0-4 the number you are rounding stays the same if the number left of the number you are rounding is a 5-9 then the number you are rounding increases by one and all the numbers right of the number you are round turn to zero. Hope this helps