2. f(x)=4x+1 and ​g(x)=x2−4x−5​, find ​(g◦​f)(4​).

Answer:

337

Step-by-step explanation:

I remember this from UKMT maths challenge.

Let the number of kangaroos in each of the seven parks be , , , , , and with the

corresponding number of koalas being , , , , , and . The question tells us that the

number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six

parks. Therefore we have

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + .

Adding these equations, we obtain

+ + + + + + = 6( + + + + + + ).

The total number of kangaroos in the seven parks is 2022. Hence

+ + + + + + = 2022.

Therefore

2022 = 6( + + + + + + )

and hence the total number of koalas in the seven parks is

+ + + + + + = 2022 ÷ 6 = 337.

Answer:

la respuesta es 65 millones

Answer:

[tex]V =288 \pi \ mm^3[/tex]

Step-by-step explanation:

[tex]V =\frac{4}{3} \pi r^{3}[/tex]

   [tex]=\frac{4}{3} \pi \left( 6\right)^{3}[/tex]

   [tex]=\left( \frac{4}{3} \right) \times \pi \times 216[/tex]

   [tex]=\left( \frac{4}{3} \right) \times 216\times \pi[/tex]

   [tex]=288\times \pi[/tex]

Answer:

IT IS B

Step-by-step explanation:

SOURCE: TRUST ME BRO

Answer:

the answer is 76.8

Step-by-step explanation:

multiple of the number

Answer:

I hope this helps................

Let's see

[tex]\\ \rm\Rrightarrow 1\dfrac{1}{5}\times2\dfrac{1}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6}{5}\times \dfrac{7}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6(7)}{5(3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{42}{15}[/tex]

[tex]\\ \rm\Rrightarrow2 \dfrac{12}{15}[/tex]

Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:

[tex]\frac{4}{9}[/tex]

It is given by the change in the output divided by the change in input.

In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:

r = (12 - 8)/(13 - 4) = 4/9.

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Answer:

B

Step-by-step explanation:

4/13

Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

Answer:

— Work in pizza slices, assuming a dozen per pizza. If I buy 36 slices, and eat 5 slices, and Joe eats 15 slices, there should be 36 - 5 - 15 = 16 slices left.

Step-by-step explanation:

Answer:

(x-6)^2+(y-5)^2=16

Step-by-step explanation:

Focus on the center point ONLY and change the signs of those numbers to negative for your equation. Count how much the outer circle moves back (which is 4) and times that as your radius

✒️ Equation

••••••••••••••••••••••••••••••••••••••

A. To find the x - intercept, let y = 0.

[tex]\tt \: \: \large \tt \: \begin{array}{|c|} \hline \tt \: 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4x \: - \: 3(0) \: = \: \tt\underline{\blue{ 12 }} \\ \tt4x \: - \: 0 \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ \: x \: = \: 3 }} \\ \\ \tt \: x ↬\: the \: intercept\\ \tt\\ \hline\end{array} \: \\ [/tex]

[tex] \\ [/tex]

To find the y - intercept, let x = 0

[tex]\large \tt \: \begin{array}{|c|} \hline \tt 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4(0) \: - \: 3y \: = \: \tt\underline{\blue{ 12 }} \\ \tt \: 0 \: - \: 3y \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ y \: = \: - 4 }} \\ \\ \tt \: x ↬\: the \: intercept \\ \ \\ \hline\end{array} \: [/tex]

[tex] \\ [/tex]

B. Replace x with 0 and solve for y. Then replace y with 0 and solve for x.

[tex]\large \tt \: \begin{array}{|c|} \hline \tt y \: - \: intercept: \: y \: = \: \frac{1}{3}(0) \\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \tt = \tt\underline{\red{ 0 }} \\ \\ \tt \: x \: and \: y ↬ intercepts: (0,0)\\ \\ \tt \: x \: ↬ \: intercepts: \: 0 = \: \frac{1}{3} x \\ \quad\quad \quad \quad\quad\quad\quad\quad\quad \: \tt \tt\underline{\red{ \: 0 \: = \: x }} \ \\ \\ \hline\end{array} \\ [/tex]

[tex] \\ [/tex]

The equation in b is a linear equation in the form y = mx, where m is any real number. the graph of any equation in the form y = mx is always a line that passes through the origin, which means that both the x - and - y - intercepts are (0,0).

[tex]\large \tt \: \begin{array}{|c|} \hline \tt intercept \: for \: m \: of \: y \: = \: \tt\underline{\red{ mx }} \\ \hline\end{array}[/tex]

[tex] \\ [/tex]

C. Replace y with 0, then solve for the x.

[tex]\large \tt \: \begin{array}{|c|} \hline \tt x ↬ \: intercept : \: 0 \: = \: 2x \: \ + 5 \\ \\ \tt - 5 \: = \: 2x\\ \\ \tt \: \frac{ - 5}{2} \: = \: x\\ \\ \tt \: x \: ↬ \: intercept \ \\ \hline\end{array}[/tex]

Now, replace x with 0, and then solve for y.

[tex]\large \tt \: \begin{array}{|c|} \hline \tt y ↬ \: intercept: \: y \: = \: 2(0) \: + \: 5 \\ \\ \tt \: y \: = \: 0 \: + \: 5 \\ \\ \tt \: y \: = \: 5 \\ \\ \tt y ↬ \: intercept \ \\ \\ \hline\end{array}[/tex]

The equation in 11c is written in the form y = mx + b. note than in the form, when x is replaced by 0 to find the y↬intercept. you are left with the constant b.

[tex]\large \tt \: \begin{array}{|c|} \hline \tt \: the \: y ↬ intercept \: of \: y \: = \: mx \: + \: b \\ \hline\end{array}[/tex]

If the equation is in the form y = mx + b, where m and b are real numbers, then the y ↬intercept is b.

[tex] \\ [/tex]

D. Remember that the graph of y = 6 is horizontally line parallel to the x axis that passes through the y axis at (0,6). since the line is parallel to x axis, it will not incest tha x-axis. Hence, there is no x ↬ intercept.

[tex] \\ \\ \\ [/tex]

[tex]\pmb{(ノ‥)ノ}\qquad\qquad\qquad\qquad\boxed{\tt{[05-12-2022]}} \\ \qquad\qquad\qquad\qquad\qquad\qquad\boxed{\tt{[03:11 \: am]}}[/tex]

Answer:

310

Step-by-step explanation:

Multiply the l/w/h x 2

Answer:

Down below

Step-by-step explanation:

150 - (2 + x)^3

150 - (2 + 2)^3

150 - (4)^3

150 - 64

= 86

I would check my math but I believe this is correct.

Answer:

86

150-(2+x)^3

⇒ x = 2

2 + 2 = 4

4^3(4 • 4 • 4) = 64

150 - 64 = 86

Step-by-step explanation:

for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.

and the arc angle is normally representing the angle at the center of the circle.

therefore, the

angle ACB = arc angle AB / 2 = 80/2 = 40°

so, B is the right answer.

Answer: 18x + 15

Step-by-step explanation:

(qor)(x)

q(r(x))

q(6x+5)

3(6x+5)

⇒18x + 15   This is your answer I believe

if we were solving for x then..

⇒x = [tex]-\frac{15}{18}[/tex]

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

An equation is an expression that shows the relationship between two or more number and variables.

The linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hence:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2

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Answer: B. $0.50

Step-by-step explanation:

Took the Test/Exam

Using translation concepts, it is found that the following rule is applied to each point:

(x,y) -> (x,-y).

The point that is does not result from this transformation will not be one of the new coordinates.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When a function is reflected over the x-axis, it's output is multiplied by -1, hence the rule is given by:

(x,y) -> (x,-y).

Thus, this rule is applied to all points, which are A, B, C and D, and the point that is does not result from this transformation will not be one of the new coordinates.

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Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder

This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3

Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.

Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the  two cones and the cylinder

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Answer: B

Step-by-step explanation: just did it

The length of EC shown in the diagram is 66.2.

"To understand the calculation, check below."

ΔBE - ΔAE = ΔAB

ΔAB = 180°- 117°

ΔAB = 63°

Δ[tex]BE-[/tex] Δ[tex]AB-[/tex] Δ[tex]BC[/tex] = Δ[tex]CD[/tex] (Congruent angles)

Δ[tex]CD= 180 - 63 - 15[/tex]

Δ[tex]CD=102[/tex]

[tex]EC = 102 + 63[/tex]

[tex]EC=165[/tex]

[tex]L = 165[/tex] • [tex]2\pi23/360[/tex]

[tex]L = 66.2[/tex]

Therefore, EC = 66.2

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Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25

Step-by-step explanation:

The True statement is  P(A) = 0.8, P(B) = 0.25.

The correct option is (B).

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

1. 0.4 ·0.3≠ 0.2,

2. 0.8 · 0.25 = 0.2

3. P(A|B)= P(A)= 0.2

        0.2 ≠ 0.2 · 0.2

4. 0.2 ≠ 0.15 · 0.05

Hence. the only condition is satisfied is (B).

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Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,

Circumference = 2πr

25.12 = 2×π×r

r = 3.9979ft ≈ 4ft

Now, the volume of the tub will be,

Volume = πr²h = π×(4²)×3.5 = 175.929 ft³

Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is

Volume of water = 175 × 28.3168 = 4,981.75 litres

Hence, the amount of water that the tub can hold is 4,981.75 litres.

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Answer:

9 / 2 = 4.5

4.5 - 4 = 0.5

Answer:

9PM

Step-by-step explanation:

3pm - 40x3=120 Miles Travelled (Noon Train)

3pm - 60x0=0 Miles Travelled (3pm Train)

4pm - 40x4=160 Miles Travelled (Noon Train)

4pm - 60x1=60 Miles Travelled (3pm Train)

5pm - 40x5=200 Miles Travelled (Noon Train)

5pm - 60x2=120 Miles Travelled (3pm Train)

6pm - 40x6=240 Miles Travelled (Noon Train)

6pm - 60x3=180 Miles Travelled (3pm Train)

7pm - 40x7= 280 Miles Travelled (Noon Train)

7pm - 60x4=240 Miles Travelled (3pm Train)

8pm - 40x8 = 320 Miles Travelled (Noon Train)

8pm - 60x5=300 Miles Travelled (3pm Train)

9pm - 40x9 = 360 Miles Travelled (Noon Train)

9pm - 60x6= 360 Miles Travelled (3pm Train)

Answer:

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

9.1^2-6.4^2 is 41.85

square root of that is 6.469...

Step-by-step explanation:

the area of a trapezoid is

(base1 + base2)/2 × h = (18.6 + 9.2)/2 × 7.2 =

= 27.8/2 × 7.2 = 13.9 × 7.2 =

= 100.08 m²

Answer:C

Step-by-step explanation:First multiply 5*5=25 then divide 125/5 = 5