A 21-foot beam is to be cut into three pieces so that the second and third piece are each 3 times the length of the first piece. If X represents represents the length of the first piece find the length of each piece.

Answer:

(g o f)(8)

Step-by-step explanation:

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

Answer:

No, the cross products to not equal

Step-by-step explanation:

[tex]\frac{12}{8}[/tex] = [tex]\frac{2}{1}[/tex]

12(1) = 8(2)

12 [tex]\neq[/tex] 16

Or make them both into decimals

12/8 = 1.5

[tex]\frac{2}{1}[/tex] = 2  They do not equal each other.

In the graph you can see two variables: Cost and Number of rooms to clean in house.

You can find the cost when both cleaning companies clean the same number of rooms as the point when the value in the varibles (y-axis and x- axis) are the same in the lines of both companies (the point where the lines cross each other)

Answer:

(2,-3)

Step-by-step explanation:

[tex]\frac{\left(y+3\right)^2}{9}-\frac{\left(x-2\right)^2}{2}=1\\\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}\\\frac{\left(y-\left(-3\right)\right)^2}{3^2}-\frac{\left(x-2\right)^2}{\left(\sqrt{2}\right)^2} =1\\(2,-3)[/tex]

The amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .

What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t

Given, the amount that will be developed after interest is laid
= A = $125,00
Also, number of years for which amount is loaned = n = 16 years
Annual Percentage Rate of the loan availed = R = 7.3
Frequency with which interest is paid out per year = 1
Following the formula established in the literature, we have:
125000 = P(1 + 7.3)⁴ ⇒ P = 125000/(1 + 7.3)⁴ ⇒ P = 125000/8.3⁴ = 26.34
Therefore, the amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .

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Explanation

By observation, we can see that the transformation from the original to the image, is a rotation of 90 degrees counterclockwise about the origin.

Answer: Option D

Solution

Solution

The final answer

253.75 gallons remain in the tank when the depth of oil is 3.5 ft

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = [tex]a (0.50)^{\frac{t}{h} }[/tex]

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

[tex]=a (0.50)^{\frac{100}{64.9} }[/tex]

= 2.749

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If the two equations are x - y = 11 and -x + y = -11 then the system has  infinitely many solutions.

Let the two equations be

x - y = 11 ..................(1)

-x + y = -11  ..................(2)

Express the first equation in the term of x and substitute it into the second equation:

From (1) and (2), we get

-(y + 11) + y = -11

simplifying the above equation, we get

-y - 11 + y = -11

-y + y = 11 - 11

0 = 0

So, the system has infinitely many solutions.

Therefore, the correct answer is option c. infinitely many solutions.

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Answer:

[tex]\frac{109}{20}[/tex]

Step-by-step explanation:

.45 mean [tex]\frac{45}{100}[/tex] so  5.45 means 5 [tex]\frac{45}{100}[/tex]  = [tex]\frac{9}{20}[/tex]  If I divide the top and bottom of [tex]\frac{45}{100}[/tex] by 9

5 [tex]\frac{9}{20}[/tex] is a mixed number.  I can make this an improper fraction by changing 5 to 1+1+1+1+1  Another name for 1 is any number over itself as a fraction.

I am going to write 1 as [tex]\frac{20}{20}[/tex]

5 can be written

[tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] = [tex]\frac{100}{20}[/tex]

5 [tex]\frac{9}{20}[/tex]  Can be written

[tex]\frac{100}{20}[/tex] + [tex]\frac{9}{20}[/tex] = [tex]\frac{109}{20}[/tex]

Answer:

(109/20) Is the answer.

we have the vector

u=-8i+5j

see the attached figure to better understand the problem

tan(x)=5/8

x=tan^-1(5/8)

x=32 degrees

Find out the angle theta

148 degrees

the answer is 148 degrees

Answer:

B

Step-by-step explanation:

9 - 3 = 6

6 ÷ -2

= -3

I think it's b

Using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.

Assume that the costs are:

The ratio would be:

So, we have:

Simplify:

Express as rate

Therefore, using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.

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Hello!

Let's solve:

               [tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]

              [tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]

              m∠A = x + 51 = -7 + 51 = 44

Answer: 44

Hope that helps!

Answer:

what is the question?

Step-by-step explanation:

Using the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width, the area of a rectangle with the length of 3.5 centimeters and a width of 2.2 centimeters will be  7.7 cm^2.

The area of the rectangle can be calculated using the formula,

(A = l×w )

and the  l = the length of the rectangle

w = represents the width of the rectangle

Then to calculate the area of the rectangle, we can substitute the values that is been given as :

(A = l×w )

A = (2.2 * 3.5) = 7.7 cm^2

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Answer:

7.7

Step-by-step explanation:

The answer was already in the question... He must've edited it or somethin'

First of all, let's draw the net:

In which l= 3 units, h=2 units and w= 4 units.

The surface area will be:

SA= 2*h*w +2*l*w + 2*h*l

SA = 2*2*4 + 2*3*4 + 2*2*3

SA =16+24+12

SA= 52units²

The volume will be:

V=L*h*w

V= 3*2*4

V= 24 units³

Opposite Q is length PR

Adjacent is 7

Hypotenuse is 19

We got AH - which is CAH or cos

Cos-1( 7/19) = 68.38....

It's 68.4 degrees

The closest answer to this is B. So, choose that because it maybe due to a typing error.

Hope this helps!

Using the segment addition postulate, the lengths of the sides are given as follows:

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the smaller segments.

In this problem, the line AM is divided into two segments by point R, as follows:

The total length of the line is given by:

AM = -5x + 3.

Hence the solution for x is given as follows:

AR + RM = AM

9x + 2 + 2x + 6 = -5x + 3

11x + 8 = -5x + 3

16x = -5.

x = -5/16

x = -0.3125.

Hence the lengths are:

There is a typo in the signals as we have a negative length, which is not possible, but the procedure is as shown in this problem.

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The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite.

If the side of DF = 7.7 cm then DE = 3.7 cm.

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given: DF = 7.7 cm and ∠ E = 29°

Let the equation be

sin θ = P/h = DF / DE

substitute the values in the above equation, we get

⇒ sin 29° = 7.7 / DE

⇒ DE = 7.7 / 0.48 = 3.696 = 3.7 cm

Therefore, the correct answer is option a) 3.7 cm.

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Answer:

x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]

Step-by-step explanation:

25.6 = 8x

Divide both sides by 8.

[tex]\frac{25.6}{8} = x\\[/tex]

Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.

[tex]\frac{256}{80} = x[/tex]

Reduce the fraction  [tex]\frac{256}{80\\}[/tex]  to lowest terms by extracting and canceling out 16.

[tex]\frac{16}{5} = x[/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex]x = \frac{16}{5}[/tex]

If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.

Hope I helped and have a good day. ~sunshine~ =D

Part A: The multiplication expression is  L×w

Part B: The expression is written as N= r+ g + w + b

The final product = 200 boxes

It is crucial to note that the formula for determining the area of a rectangle is expressed as;

Area = lw

Given that;

The area can be calculated by multiplying the length and the width and also by then adding the number of boxes.

We have the expression as;

10( 4 + 5 + 4 + 7)

Also,

L × w =  r + g + w + b

Hence,  we have that L×w is a multiplication expression.

Total number of boxes for the length = 20

Total number of boxes for the width = 10

Total area = L×w = 20×10=200

We have;

N= r+ g + w + b

but r = g = b

Also,

L×B =  3r + w

Hence, a multiplication expression is an expression that has its variables or numbers being multiplied.

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Answer:

I do!

Decimal Form: f=−0.¯6,5

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to

0.3f+2=0f−5=0

Set

3f+2 equal to 0 and solve for f.

more steps...

f=−23

Set

f−5 equal to 0 and solve for f.

more steps...

f=5

The final solution is all the values that make

(3f+2)(f−5)=0

true.

f=−23,5

The result can be shown in multiple forms.

Exact Form :f=−23,5

HOPE IT HELPS :)

Answer:

• (a)The length of the side opposite 31.0° is 1.96 meters.

• (b)The length of the side adjacent 31.0° is 3.26 meters.

Explanation:

In the right triangle:

• The length of the hypotenuse = 3.80 m

• Let the side ,opposite ,angle 31.0° = x

• Let the side ,adjacent ,angle 31.0° = y

(a)

From trigonometric ratios:

Cross multiply:

The length of the side opposite 31.0° is 1.96 meters.

(b)From trigonometric ratios:

Cross multiply:

The length of the side adjacent 31.0° is 3.26 meters.

Answer: the area of triangle PQR is 7.5 square units

Step-by-step explanation:

[tex]\displaystyle\\A_{PQR}=\frac{PR*QS}{2} \\\\1.\ (3,-3)\ \ \ \ \ (5,-2)\\\\PR=\sqrt{(5-3)^2+(-2-(-3))^2}\\\\PR=\sqrt{2^2+(-2+3)^2} \\\\PR=\sqrt{4+1^2} \\\\PR=\sqrt{4+1}\\\\ PR=\sqrt{5} \ units[/tex]

[tex]\diplaystyle\\2.\ (8,7)\ \ \ \ \ (11,1)\\\\QS=\sqrt{(11-8)^2+(1-7)^2} \\\\QS=\sqrt{3^2+(-6)^2} \\\\QS=\sqrt{9+36} \\\\QS=\sqrt{45}\\\\QS=\sqrt{9*5} \\\\QS=\sqrt{3^2*5} \\\\QS=3\sqrt{5}[/tex]

[tex]\displaystyle\\Hence,\\A_{PQR}=\frac{\sqrt{5}*3\sqrt{5} }{2} \\\\A_{PQR}=\frac{(\sqrt{5}*\sqrt{5}) *3 }{2} \\\\A_{PQR}= \frac{5*3}{2}\\\\A_{PQR}=\frac{15}{2}\\\\A_{PQR}=7.5 \ units^2[/tex]

The probability that a randomly selected car gets more than 40 mpg is equal to 0.771.

Let us assume that the miles-per-gallon rating of passenger cars be represented by random variable X. According to the question we know that X ≈ N (μ = 33.8 mpg and σ² = 3.5² mpg). Now, to compute the probability that a randomly selected passenger will gets less than 40 mpg will be given as

P(X < 40) = P(X - μ/σ  >  40 - 33.8/3.5)

= P(Z < 1)

= P(Z > 1) - 1

= 1.771 - 1

= 0.771 which is the required probability.

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Answer:equal

Step-by-step explanation: no number but equal as it is tossed 4 times

Answer:

16

Step-by-step explanation:

The number of possible outcomes at each coin toss = 2.

The total number of possible outcomes after 4 times = 2⁴ = 16.

Answer:

It will be

.. y = -4/3x +c . . . . . for some value of c

_____

The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.

Answer:

1

Step-by-step explanation:

(5−5)^2+(−5−(−4))^2

0^2+-1^2

1