f(x) = x^3 translate 3 units left translate 1 unit down

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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Answer:

320π cm^3

Step-by-step explanation:

V=1/3 π r² h

V=1/3 × π x 8² x 15

V=1/3 × π x 64 x 15

V=320π cm³

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

\(4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6\)

2.

\(6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2\)

3.

\(-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6\)

Answer:

Step-by-step explanation:

Area of a trapezoid is the average length of the bases times the height

C = A(0.25)

A = ½(86 + 106)(44) = 4224 ft²

C = 4224(0.25) = $1056.00

Answer:

the 1/5 one is 0.95

Step-by-step explanation:

look it up, silly also im sorry if i got in wrong i need help too and no one is helping me so im helping other people (well trying too)

Answer:

d = 233.23 feet

Step-by-step explanation:

Given that,

Justin walks 200 feet to the east, then turns and  walks 120 feet due south.

We need to find the total distance walked by Justin. Let the distance be d.

We can use the Pythagoras theorem to find it such that,

\(d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet\)

So, he walk 233.23 feet in all.

Answer:

25, 31, 37

Step-by-step explanation:

This sequence has an increasing pattern of 6.

Which means to find the next term, just add 6 to the pervious term. For example:

1 + 6 = 7

7 + 6 = 13

And so on

Answer: 1017.36

Step-by-step explanation: The equation set for the volume of a cylinder is V=πr2h (V=pie x radius squared x height). So now all you do is plug in your values! Before that, you have to make sure that your given diameter is converted into radius instead. Radius is just 1/2 of the diameter, so your radius should be 4.5. V=3.14 x 4.5^2 x 16. So the volume should be 1017.36. :)

Answer:

\(1017.9cm^3\)

Step-by-step explanation:

\(V= volume\\r= 4.5 cm\\h= 16cm \\pi =3.14\\\)

The formula for the volume of a cylinder (can) is \(V=\pi r^2h\) first you need to find the radius \((r)\) by dividing the diameter by 2 .

\(9/2=4.5\)

Now plug your numbers into the formula.

\(V=3.14*4.5^2*16\\\\V= 1017.9\)

So the volume of the can of tomatoes (cylinder) is

\(=1017.9cm^3\)

Answer:

m<T = , m<M =  and m<Z =

Step-by-step explanation:

From the given ∆TMZ, let the measure angle T be represented by T.

So that,

m<M = 2T + 6°

m<Z = 5T - 50°

Sum of angles in a triangle =

T + (2T + 6°) + (5T - 50°) =

8T - =

8T =  +

   =

T =

  =

Therefore,

i. m<T =

ii. m<M = 2T + 6°

       = 2 x  + 6°

       =

m<M =

iii. m<Z = 5T - 50°

           = 5 x  - 50°

           =  - 50°

           =

m<Z =

Answer:

1.     = 5

2.     = -7

3.   = -4

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We assume you want to graph the equation ...

  y -1 = -3(x -3)

This is in "point-slope" form with point (3, 1) and slope -3.

We can graph this by locating the point (A), then finding another point (B) that is 3 units down and 1 unit right of the point we started with. That point is (4, -2).

The desired line goes through the two points.

Answer: \(y=x-9\)

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

\(x=y+9\)

Now solve for y

Step 1: Flip the equation.

\(y+9=x\)

Step 2: Subtract 9 from both sides.

\(y+9-9=x-9\\y=x-9\)

Answer:

\(x = - \frac{2}{3} \)

this the correct answer

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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The number which represents the situation of a withdrawal of $36 is -$36.

In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.

In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.

To represent a withdrawal of $36, we will use the negative sign.

Hence, -$36 is the correct representation of the situation of a withdrawal of $36.

Therefore, -$36 is the required answer.

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The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

C is the correct option ...........

Answer:

-12-n

Step-by-step explanation:

(6+n)(−2)

=(6+n)(−2)

=(6)(−2)+(n)(−2)

=−12−2n

=−2n−12

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

Answer:

c=8

Step-by-step explanation:

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

\(27x^2\)

Step-by-step explanation:

1) First, "cancel out" the 3s. Remember, exponents are kind of like another way of saying, "multiply this number by itself this many times." Whatever the bigger number is is the number that you multiply by itself, and the smaller number at the top indicates how many times you have to do that.

Take \(3^4\), for example. It's saying "multiply 3 by itself 4 times." Therefore, you can write it as (3)(3)(3)(3):

\(\frac{3^4x^4}{3x^2} \\= \frac{(3)(3)(3)(3)x^4}{(3)x^2} \\\)

Now, simplify. For each 3 in the denominator, cross out a 3 in the numerator. So, cross out the single 3 in the denominator, and cross out one 3 in the numerator. Then, multiply the left over 3s. This gives us this:

\(\frac{(3)(3)(3)x^4}{x^2}\)

\(= \frac{27x^4}{x^2} \\\)

2) Do the same with the x's. Write them out, cancel them out, and then multiply the leftovers together:

\(\frac{27x^4}{x^2}\\= \frac{27(x)(x)(x)(x)}{(x)(x)}\\= 27 (x)(x)\\= 27x^2\\\)

Therefore, \(27x^2\) is the answer.

Answer:

Cost of slate path using π:   $980.18 (nearest cent)

Cost of slate path using π = 3.14:   $979.68

Step-by-step explanation:

Formula

Area of a circle = πr²  (where r is the radius)

First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.

Area of larger circle = π · 8² = 64π ft²

Area of pond (smaller circle) = π · 4² = 16π ft²

⇒ area of slate path = 64π - 16π = 48π ft²

If the cost of the slate is $6.50 per ft² then,

Cost of slate path using π:

⇒ 48π × $6.50 = $980.18 (nearest cent)

Cost of slate path using π = 3.14:

⇒ 48 × 3.14 × $6.50 = $979.68

The expression for (t) \Join (t+2) - (t+1) \Join (t+1) is ( \(t^{2}\) + t - 2 ) ( \(t^{2}\) + t - 6 ).

The given operation is \Join such that x Join y = (x+2)(y-3).

We are to apply the \Join operation in the given expression.

t \join (t+2) - (t+1) \Join (t+1) and find its final expression.

Using this operation: x Join y = (x+2)(y-3).

Let's find,

t \join (t+2)

Here,

x = t and y = t + 2

= ( t+2 ) ( t+2 - 3 )

= ( t + 2 ) ( t - 1 )

(t+1) \Join (t+1)

Here,

x = t + 1 and y = t + 1

= ( t + 1 + 2 ) ( t + 1 - 3 )

= ( t + 3 ) ( t - 2 )

t \join (t+2) - (t+1) \Join (t+1)

= ( t + 2 ) ( t - 1 ) - ( t + 3 ) ( t - 2 )

= ( \(t^{2}\) - t + 2t - 2 ) ( \(t^{2}\) - 2t + 3t - 6 )

= ( \(t^{2}\) + t - 2 ) ( \(t^{2}\) + t - 6 )

Thus the expression for (t) \Join (t+2) - (t+1) \Join (t+1) is:

( \(t^{2}\) + t - 2 ) ( \(t^{2}\) + t - 6 )

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Answer:

yall the answer is 4

Step-by-step explanation:

First, we evaluate the first pair of parentheses:

(t) \Join (t+2) &= (t + 2)((t+2) - 3)

(t+2)(t - 1)\\

t^2 + 2t - t - 2\\

t^2 + t - 2.

Next, we evaluate the second pair of parentheses:

(t + 1) \Join (t+1) &= ((t+1) + 2)((t+1) - 3) \\

(t+3)(t - 2) \\

t^2 + 3t - 2t - 6 \\

t^2 + t - 6.

Subtracting the two expressions and noting that certain terms cancel, we obtain (t^2 + t - 2) - (t^2 + t - 6) = -2 - (-6) = 4

Answer:

From the image below we will bring out two coordinates we are going to use to calculate the rate of change of the graph

The coordinates are given below as

Concept:

The rate of change will be calculated using the formula below

By substituting the values, we will have

Hence,

The rate of change = 1

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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i am so sorry me dont know

Answer:

Answer: Composite figure: 360 ft3

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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