Help me, plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

17.1

Step-by-step explanation:

Plug in -1 for x, this gets you -4.

Solve 2^-4 and get .0625.

Add .0625 to 17 and get 17.0625.

The question says answer to the nearest tenth so you round the 6 up to a 1 giving you 17.1

The transformation of f(x) to g(x) would be 6 units upwards

To transform f(x) to g(x), the equation is; g(x) = f(x) + 6

We are told that f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13.

f(x) passes through (1,3) and (3, 13).

Thus;

slope is; m =  (13 - 3) / (3 - 1) = 10/2 = 5

y-intercept is; b = y - mx

Thus;

b = 3 - 5*1 = -2

Equation of the line is;

f(x) = 5x - 2

g of x passes through negative 1, 3 and 1, 13. Thus, the slope is;

m = (13 - 3) / (1 + 1) = 10/2 = 5

y-intercept is; b = y - mx

Thus;

b = -1 - (5)(-1)

b = 4

Equation of the line is; g(x) = 5x + 4

part A: The transformation of f(x) to g(x) would be 6 units upwards

part B: k = 6

part C: To transform f(x) to g(x), the equation is;

g(x) = f(x) + k

g(x) = f(x) + 6

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[tex]\sum^{\infty}_{n=1} (a/b)^n=5 \\ \\ =\frac{a/b}{1-\frac{a}{b}}=5 \\ \\ \frac{a}{b-a} =5 \\ \\ \frac{a}{b}=\frac{5}{6}[/tex]

So, we need to find

[tex]\sum^{\infty}_{n=1} n(5/6)^n

[/tex]

Let this sum be S.

Then,

[tex]S=(5/6)+2(5/6)^2 +3(5/6)^3+\cdots \\ \\ \frac{5}{6}S=(5/6)^2 + 2(5/6)^3+\cdots \\ \\ \implies \frac{1}{6}S=(5/6)+(5/6)^2+(5/6)^3+\cdots=5 \\ \\ \implies S=\boxed{30}[/tex]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.

Answer: A

Step-by-step explanation:

[tex](-5,3)\\(-3, 1)\\(-1,-1)\\(1, -1)\\(3, 1)\\(5, 3)[/tex]

Answer:

[tex]r =\bf 8 \space\ cm[/tex]

Step-by-step explanation:

The formula for volume of a cylinder is as follows:

[tex]\boxed{Volume = \pi r^2 h}[/tex]

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:
[tex]448 \pi = \pi \times r^2 \times 7[/tex]

Now solve for [tex]r[/tex]:

⇒ [tex]r^2 = \frac{448 \pi }{\pi \times 7}[/tex]

⇒ [tex]r = \sqrt{64}[/tex]

⇒ [tex]r =\bf 8 \space\ cm[/tex]

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

Given:

[tex]\longrightarrow\sf{V= \pi r^2 h}[/tex]

[tex]\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}[/tex]

[tex]\longrightarrow\sf{448=

7r^2}[/tex]

[tex]\longrightarrow\sf{r^2= \dfrac{448}{7} }[/tex]

[tex]\longrightarrow\sf{r^2=64}[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

[tex]\longrightarrow\sf{r= 8cm}[/tex]

Answer:

  (b)  f(x) = 12.5(1.6^x)

Step-by-step explanation:

An exponential model is generally of the form ...

  f(x) = a·b^x

where 'a' is the initial value (for x=0), and 'b' is the growth factor, the multiplier when x increases by 1.

The ratio of the f(x) values for x=0 and x=1 is 20/12 ≈ 1.67. A number close to this will be the growth factor in the exponential function. There is only one answer choice showing a growth factor near 1.6. (Eliminates choices A, C, D.)

An exponential regression model can be produced by many graphing calculators and spreadsheets. The attachment shows a model that has the values matching choice B.

Answer:

3rd answer is correct

Step-by-step explanation:

Take the common factor out.

[tex]a {b}^{2} + 6ab + 7a ^{3} - 14a \\ a[ {b}^{2} + 6b + 7 {a}^{2} - 14] \\ \blue{ a[b(b + 6) + 7( {a}^{2} - 2)]}[/tex]

The correct option is: a(b² + 7a² + 6b - 14), which matches the factorized form of the given expression.

The expression ab² + 6ab + 7a³ - 14a can be factored as follows:

ab² + 6ab + 7a³ - 14a

a(b² + 6b + 7a² - 14)

a(b² + 7a² + 6b - 14)

The expression b(b + 6) + 7(a² - 2) does not appear to be directly related to the given expression.

The expression a[(b + 7)(b + 6)(a² - 2)] is not equivalent to the given expression either.

The correct option is: a(b² + 7a² + 6b - 14), which matches the factorized form of the given expression.

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Answer:

110 degrees

Step-by-step explanation:

to find the angle x, we need to use the formula to find the 50 degree angle:

(y - x) / 2 = 50

y is 210

(210 - x) /2 = 50

210-x = 100

x = 110 degrees

The word complementary describes the their measures of ∠1 and ∠2.

According to the statement

we have given that the some conditions like

Angles 1 and 2 form a right angle. 2 lines form a right angle. another line extends between the 2 lines to form 2 angles. the top angle is labeled 1, and the bottom angle is labeled 2.

And we have to find the word that describes all about the given angles.

So, For this purpose,

According the given conditions, we recall that:

Angles that are complementary angles whose sum equals 90 degrees.

A right angle equals 90 degrees.

From the information given, we know that:

m∠1 and m∠2 forms a right angle.

Since a right angle = 90 degrees, therefore:

m∠1 + m∠2 = 90° (complementary)

So, The word complementary describes the their measures of ∠1 and ∠2.

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Answer: complementary

Step-by-step explanation: took the test on edge!

The amount of water that will serve the entire container exists 3/10 gallons.

An expression exists a sentence with a minimum of two numbers or

variables and at least one math function.

Given: 1 over 5 gallons of water serve 2 over 3 of the container.

(1/5) gallon / (2/3) container = x gallons / 1 container

cross-multiplying the above equation, we get

1/5 = (2/3)x

multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons serve the total container

Each 1/10 of a gallon serve 1/3 of the container

So 3(1/10) gallons serve 3(1/3)bins

3/10 gallons serve a whole container.

The amount of water that will serve the entire bin container exists 3/10 gallons.

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Answer:

There are two solutions:  
x = 0, y = -3  Point (0, -3)
x = 3, y = -6  Point (3, 6)

The solutions are at the intersections of the two individual graphs corresponding to each of the two equations (see attached figure)

Step-by-step explanation:

Use a graphing calculator or tool to plot each equation. The point of intersection of the two is the solution to the system of equations. See attached image

Algebraically

The first equation must be equal to the second equation for a unique value of y and x

[tex]y = x^2 - 3 = 3x -3\\x^2 - 3 = 3x - 3[/tex]

Subtract 3x - 3 from both sides giving

[tex]x^2 - 3 - (3x -3) = 0\\x^2 -3 -3x + 3 = 0\\x^2 - 3x = 0\\[/tex]

Factoring out x we get
[tex]x(x-3) = 0[/tex]

This means that x = 0 and also
x -3 = 0, or x = 3

Substituting for x = 0 in y = 3x-3 gives
y = 3.0 - 3 = -3
So x= 0, y = -3 is one solution (0,-3)

Substituting for x = 3 in the same equation gives
y = 3(3) - 3 = 6
So x = 3, y = 6 is another solution (3, 6)

The probability that a student chose football given that they like watching sports is: c. 0.27.

Using this formula

P[Like (Football)/Like (Sport)]

Where:

P=Probability

Like (Football)=0.23

Like (Sport)=0.23+0.18+0.26+0.17=0.84

Let plug in the formula

P[Like (Football)/Like (Sport)]=0.23/0.84

P[Like (Football)/Like (Sport)]=0.27

Therefore the probability that a student chose football given that they like watching sports is: c. 0.27.

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Answer:

C.

Step-by-step explanation:

Answer:

20.0

Step-by-step explanation:

We can use the distance formula, d = [tex]\sqrt{(x_{1}-x_{2}) ^{2} +(y_{1}-y_{2}) ^{2}}[/tex]  to find the length of three sides separately.

AB =  [tex]\sqrt{(-4+2) ^{2} +(1-3}) ^{2}}[/tex] = [tex]\sqrt{8}[/tex]

BC =  [tex]\sqrt{(-2-3) ^{2} +(3+4) ^{2}}[/tex] = [tex]\sqrt{74}[/tex]

CA =  [tex]\sqrt{(3+4) ^{2} +(-4-1) ^{2}}[/tex] = [tex]\sqrt{74}[/tex]

Perimeter = [tex]\sqrt{74}[/tex] + [tex]\sqrt{8}[/tex] + [tex]\sqrt{74}[/tex] = 20.0330776588 units

Answer:

Step-by-step explanation:

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop 

The linear function of the table of values is y = -1.5x + 25

The table of values is given as:

Sequence One       Sequence Two       Ordered Pair        

6                                         16                           (6, 16)

8                                         13                           (8, 13)

10                                        10                           (10, 10)

12                                         7                            (12, 7)

14                                         4                            (14, 4)

From the above table of values, we can see that:

This means that the table represents a linear function, and the slope of the function is

m = -3/+2

This gives

m = -1.5

A linear function is represented as:

y = mx + c

This gives

y = -1.5x + c

Using the table of values, we have

16 = -1.5 * 6 + c

Evaluate the product

16 = -9 + c

Add 9 to both sides

c = 25

Substitute c = 25 in y = -1.5x + c

y = -1.5x + 25

Hence, the linear function of the table of values is y = -1.5x + 25

See attachment for the graph of the table

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The next year's expected cash flow if there is a 50/50 probability that it will be either $10 million or $60 million is $35 million.

Probability refers to possibilities. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. The probability formula states that the ratio of positive outcomes to all other outcomes determines how likely an event is to occur.

Sum of outcomes= 410+$60=$70 million

Number of outcomes=2

As the probability is 50/50, the next year’s expected cash flow will be

10+60/(2)

=70/2

=35 million dollars.

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By direct evaluation, we will see that the limit is equal to 29.

Here we want to find the limit of the given expression when x tends to 5.

[tex]\lim_{x \to \ 5} x^2 + 4[/tex]

We can directly evaluate the expression in x = 5 and see if we get a real value different than zero.

By direct evaluation, we get:

[tex]\lim_{x \to \ 5} x^2 + 4 = 5^2+ 4 = 29[/tex]

Notice that the limit does give a whole number, then in this way, we conclude that the limit of the given expression when x tends to 5 is equal to 29.

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Answer:

square 29

Step-by-step explanation:

The table represent y as a function of c, Yes because every x-value has at least one y-value.

According to the question,

X       -3          0          5            11

Y        0           2          -3          -2

In order to find the table represent y as a function of c, When x = -3; y=0; x= 0 ;y=2; x= 0 y=2; x= 5 y=-3; x= 11 y=-2.

⇒ Above option is wrong, because a number in the input is not same as a number in the output.

⇒ Above option is wrong, because there are many x-values with more than one y-value.

⇒ Above option is correct, because every x-value has at least one y-value.

⇒ Above option is wrong,  because there are not two inputs that have the same output

Hence, the table represent y as a function of c, Yes, because every x-value has at least one y-value. Above option is correct, because every x-value has at least one y-value.

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Answer:

5/12a + 1/3b

Step-by-step explanation:

2/3a + 1/6b + (-1/6a) + 3/18b + (-1/12a)

[2/3a + (-1/6a) + (-1/12a)] + [3/18b + 1/6b]

5/12a + 1/3b

Answer:

..........................................

The line is parallel to y axis

We know that if a line is parallel to y axis

So there is no slope

Here it has constant x value as -2

So the equation is

Option A

Answer:

x = -2

Step-by-step explanation:

The line is crossing the x-axis at -2, The graph is attached

Since it is identical to the graph given in the problem, x=-2 is the correct answer

The length of the sides,MD, DK, and KM gives the measure of the angle m<D as c) 76°

In triangle ∆MDK, we have;

m = 16.4

d = 22

k = 19

Using cosine rule, we get;

d² = m² + k² - 2•m•k•cos(D)

Therefore;

2•m•k•cos(D) = m² + k² - d²

[tex]D = arccos \left( \frac{ {m}^{2} + {k}^{2} - {d}^{2} }{2 \cdot m \cdot k} \right)[/tex]

Which gives;

[tex]D = arccos \left( \frac{ {16.4}^{2} + {19}^{2} - {22}^{2} }{2 \times 16.4 \times 19} \right) \approx {76}^{ \circ} [/tex]

The correct option is therefore;

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Answer:

76

Step-by-step explanation:

Use the Law of Cosines to find m∠D

.The figure shows the same triangle as in the beginning of the task. Angle M D K is highlighted in red.

Set up the equation for the Law of Cosines.

d2=k2+m2−2kmcosD

Substitute the given values and solve for m∠D

.222=192+16.42−2(19)(16.4)cosD

Simplify.

484=629.96−623.2cosD

Subtract 629.96

.−145.96=−623.2cosD

Divide by −623.2

0.234=cosD

Use the inverse cosine function to find m∠D

and round to the nearest degree.

The figure shows a screen of a graphical calculator. The inverse cosine of 0 point 2 3 4 is calculated. The result is 76 point 4 6 7 3 1 6 4 6.

m∠D=cos−1(0.234)≈76∘

Therefore, m∠D≈76∘

hope it helps you!

.

Answer:

600

Step-by-step explanation:

since it is a right triangle based pyramid, 2 of them will make a cube. so, it is bwh / 2.

base = 24

width = 10

height = 5

volume = 1200

volume of pyramid = 600

The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex]

The value of a exists -4 and value of b exists -3.

The transformation T exists given as

[tex]$T:(x, y) \rightarrow(x+4, y+3)[/tex]

Let the transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x+a, y+b)$$[/tex]

If T and [tex]$T^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(x)\right)=x \\[/tex]

[tex]$&T(x+a)=x \\[/tex]

[tex]$&x+a+4=x \\[/tex]

[tex]$&a=-4[/tex]

The value of a exists -4.

If T and [tex]$\mathrm{T}^{-1}$[/tex] exists inverses each other, then

[tex]$&T\left(T^{-1}(y)\right)=y \\[/tex]

[tex]$&T(y+b)=y \\[/tex]

[tex]$&y+b+3=y \\[/tex]

b = -3

The value of b exists -3.

The transformation [tex]$\mathrm{T}^{-1}$[/tex] exists described as

[tex]$T^{-1}:(x, y) \rightarrow(x-4, y-3)$$[/tex].

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24 is the answer! Its all about isolation, i tried to show it a little better in the image attached. Hope this helps!!

Answer:

Option (1)

Step-by-step explanation:

We need a recursive formula.

The common ratio is 2.

So, the answer is option 1.

Answer:

b

Step-by-step explanation:

B

Step-by-step explanation:

-x+5+6x-7x-14

6x-8x+5-14

-2x-9