What is the total first-year cost when renting the home?
a) 900.00
b) 11,200.00
c) 11,400.00
d) 10,800.00

Answer:

40320 way

Step-by-step explanation:

Given:

In how many ways can 8 people line up for movie tickets?

You can do the following:

⇒ Tree diagram

⇒ List

⇒ Table

⇒ Multiply

Solve:

For me, I like to use Multiply for this question.

1 ×2×3×4×5×6×7×8

2 ×3×4×5×6×7×8

6×4×5×6×7×8

24×5×6×7×8

120 ×6×7×8

720×7×8

5040×8

40320

Hence, in 40320 ways can 8 people line up for movie tickets.

~Learn with Lenvy~

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

Ratio = 152 : 1056

Percent = \(\frac{152}{1056} *100=14.39\)

Fraction = \(\frac{152}{1056}\)

Answer:

Ratio: 152:1056

Percent: 14.4

Decimal: 0.144

Step-by-step explanation:

It should be the answer but you may double check on a calculator.

Answer:

c=m+s

Step-by-step explanation:

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

Answer:

246

264

426

462

624

642

Step-by-step explanation:

The dimensions that minimizes the perimeter are undefined and DNE

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

Base = w

Heights = h and T

Where

T = 1.6w

The area of the window is calculated as

A = 1/2Tw + hw

So, we have

A = 1/2 * 1.6w * w + hw

A = 0.8w² + hw

Differentiate with respect to w

A' = 1.6w + h

Set to 0

1.6w + h = 0

Solve for h

h = -1.6w

The above means that the perimeter cannot be minimized

This is because h and w cannot be negative

Hence, h = undefined and w = undefined

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You would have four gallons :)

Answer:

92.3% are not vacationing

Step-by-step explanation:

482 - 37 = 445

445 * 100 / 482 = 92.3

Answer:

Step-by-step explanation:

In general, the transformation ...

  g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

  g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

  g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer:

-2^x

(1/3)^x +5

3^(x +2) -3

(1/2)^x -2

4^(x/3)

2^(x -3) +4

Step-by-step explanation:

In general, the transformation ...

 g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

 g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

 g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

The cruise ship's resultant velocity is approximately 22.67 mph, and its direction is approximately 10.2 degrees south of east.

To find the resultant direction, we can use vector addition. Let's represent the southward velocity of the cruise ship as vector A and the eastward velocity of the Gulf Stream as vector B.

Given:

Magnitude of vector A (southward velocity of the cruise ship) = 22 mph

Magnitude of vector B (eastward velocity of the Gulf Stream) = 4 mph

To find the resultant velocity, we add the two vectors together. Since the vectors are perpendicular to each other, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

Resultant velocity = √(A^2 + B^2) = √(22^2 + 4^2) ≈ 22.67 mph

Now, to find the direction of the resultant vector, we can use trigonometry. The angle between the resultant vector and the south direction can be calculated as:

θ = arctan(B / A) = arctan(4 / 22) ≈ 10.17 degrees

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Answer:

n = -31.5

Step-by-step explanation:

let 'n' = the number

n/-1.5 = 21

to solve for 'n', multiply each side by -1.5 to get:

n = -31.5

Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

 prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                          = \(2 (\frac{1}{2} )bh +lA\)

                           = b h + p l

                           = 3 ×4 + 12×20

                          = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Answer:

252

Step-by-step explanation:

Step-by-step explanation:

to solve this question you need to know that to find the angle you can use the inverse of a trigonometric function. henceforth, we can use arctan for this particular question.

arctan(11/5) is the answer.

the answer correct to 1 decimal point is 65.6 degrees.

comment if you have any doubts.

Answer:

C. 26 yards

Step-by-step explanation:

Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find the distance between vertexes.

Distance between A(-5, 5) and B(0, 5)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( B(0, 5) = (x_2, y_2) \)

\( AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} \)

\( AB = \sqrt{(5)^2 + (0)^2} \)

\( AB = \sqrt{25 + 0} = \sqrt{25} \)

\( AB = 5 \)

Distance between B(0, 5) and C(4, 2)

Let,

\( B(0, 5) = (x_1, y_1) \)

\( C(4, 2) = (x_2, y_2) \)

\( BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} \)

\( BC = \sqrt{(4)^2 + (-3)^2} \)

\( BC = \sqrt{16 + 9} = \sqrt{25} \)

\( BC = 5 \)

Distance between C(4, 2) and D(1, -2)

Let,

\( C(4, 2) = (x_1, y_1) \)

\( D(1, -2) = (x_2, y_2) \)

\( CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} \)

\( CD = \sqrt{(-3)^2 + (-4)^2} \)

\( CD = \sqrt{9 + 16} = \sqrt{25} \)

\( CD = 5 \)

Distance between D(1, -2) and E(-2, -2)

Let,

\( D(1, -2) = (x_1, y_1) \)

\( E(-2, -2) = (x_2, y_2) \)

\( DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} \)

\( DE = \sqrt{(-3)^2 + (0)^2} \)

\( DE = \sqrt{9 + 0} = \sqrt{9} \)

\( DE = 3 \)

Distance between E(-2, -2) and F(-5, 2)

Let,

\( E(-2, -2) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} \)

\( EF = \sqrt{(-3)^2 + (4)^2} \)

\( EF = \sqrt{9 + 16} = \sqrt{25} \)

\( EF = 5 \)

Distance between A(-5, 5) and F(-5, 2)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} \)

\( FA = \sqrt{(0)^2 + (-3)^2} \)

\( FA = \sqrt{0 + 9} = \sqrt{9} \)

\( FA = 3 \)

Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

The data collected by Lucilla is as follows:

7.1 oz

6.9 oz

7.3 oz

7.6 oz

8.1 oz

7.5 oz

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

We need to put this data in order, this will give us:

6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We have

smallest value is 6.9 oz

largest value is 8.1 oz

all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

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Answer:

6.9 and 8nd 8.1 or C

Step-by-step explanation:

Answer:

F=5+M

F=5+4

Step-by-step explanation:

the answer to your first quesion is 2.625 pounds and the other one is .6 gallons of water

In order to determine the value of x, use the cosine function, as follow:

cos 18° = x/17

solve the previous equation for x and simplify:

x = 17·cos 18°

x = 17·0.95

x = 16.2

Hence, the value of x is x = 16.2

Answer:16x16

Step-by-step explanation:

Answer:

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

\(-\dfrac{9}{4} \div \dfrac{2}{3}\)

Step-by-step explanation:

We have to find equivalent expression to :

Negative 2 and one-fourth divided by negative two-thirds

i.e.

\(-2\dfrac{1}{4} \div \dfrac{2}{3} = ?\)

We have to convert the the mixed fraction form \(-2\frac{1}{4}\) to simpler \(\frac{p}{q}\) fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form \(a\frac{b}{c}\) have the following understanding:

c is the divider

b is the remainder and

a is the quotient.

To convert mixed fraction to fraction we can use the following:

\(a\dfrac{b}{c} = \dfrac{a \times c+b}{c}\)

\(\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}\)

Hence

\(-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}\)

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

Answer:

Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)

or

-9/4 / -2/3

Step-by-step explanation:

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

\( {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} \)

Hope it will help :)❤

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

-4 ; -1 ; 2 ; 5

Step-by-step explanation:

-4 is smaller because when counting from zero to the left it is descending but ascending numerically. 0 to -1 to -2 to -3 etc

After that you write the next numbers in ascending order

38.1051177665 is the correct Answer

Step-by-step explanation:

In the given question base (b)= 22

And hypotenuse (h) = y

And angle between them is = 60⁰

As we know cosθ = b/h

so;

we have to find x perpendicular (P) = ?

so ; As we know

Hypotenuse²= Base² + Perpendicular²

Perpendicular² = Hypotenuse²– Base²

Hope it helps

thank you :)