Please answer asap! show work!
11. What is (f.g)(x)?
f(x) = x3 +3
g(x) = 2x2 + x - 1

Answer:

the H stands for hours. the E stands for money. because it says 10h that means she gets $10 per hour. that answers the first question. I don't understand the second part though. hope you get it!

Answer:

-6.4 degrees.

Step-by-step explanation:

The average temperature

= (-12 -8 -3  + 6 - 15) / 5

= -32/5

= -6.4 degrees.

Work Shown:

x = original price in dollars

x - 60% of x = x - 0.60x = 0.40x = sale price in dollars

0.40x = 152

x = 152/0.40

x = 380

Step-by-step explanation:

y=2x find the value of y and x

Answer:

The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought


Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.






For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

1) Answer is D

2) Answer is C

3) Answer is D

Step-by-step explanation:

Problem 1

Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.

Problem 2

There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.

Problem 3

There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.

Answer: A - (5.196, -3)

Step-by-step explanation: correct on ed

Answer:

Slope = undefined.

Step-by-step explanation:

Given two points:

To Find:

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question,here:

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{9 - 3}{2 - 2} [/tex]

Simplify.

[tex] \rm \: m = \cfrac{6}{2 - 2} [/tex]

[tex]\rm \: m = \cfrac{6}{0} = \boxed{ \rm \: undefined}[/tex]

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.

Answer:

B

Step-by-step explanation:

surface area = area of base + area of lateral faces

Area of base:

A = lw

A = 4(4)

A = 16

Area of Lateral faces:

A = 1/2 bh

A = 1/2(5)(4)

A = 1/2(20)

A = 10

There are for lateral faces.

s = 16 + 10 + 10 + 10 + 10

Answer: [tex]4\sqrt{7}[/tex]

Step-by-step explanation:

If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].

So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].

This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]

Answer:

Step-by-step explanation:

Problem a

a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.  

The top angle = x

x + 70.5 + 70.5 = 180      All triangles have 180 degrees.

x + 141 = 180                    Subtract 141 from both sides

x + 141-141 =180 - 141       Combine

x = 39

c + 39 + 87.2 =180           Combine the left

c + 126.2 = 180                 Subtract 126.2 from both sides

c+126.2-126.2 = 180-126.2

c = 53.45

Answer: 53.45

Problem B

Comment

Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.

Supplement of 115.6

Call the supplement = y

y + 115.6 = 180                         Supplementary angles = 180 degrees

y +115.6-115.6 = 180 - 115.6     Combine

y = 64.2

Now we need the supplement of 99.9

Call the supplement = z

z + 99.9 = 180                           Supplementary angles = 180

z+99.9-99.9 = 180-99.9

z = 80.1

Now subtract y + z from 180

180 - 64.2 - 80.1 = x

x = 35.7

x is opposite d

d = x

d = 35.7 degrees.

Answer

d = 35.7

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

Answer:

A polygon is a plane figure.

Step-by-step explanation:

This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.

There is no max number of sides, so the first answer is not right.

In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)

Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.

It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.

Answer:

A polygon is a plane figure.

Answer:

7 7^10

1 5^9

yan po yung sagot

sana makatulong

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

To know more about confidence intervals follow

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Answer:

slope = 1

y intercept = (0,8)

Step-by-step explanation:

the equation y = x + 8 is put in y = mx + b form

where m = slope and b = y intercept

in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)

Answer:

m = 1 and b = 8

Step-by-step explanation:

y = x + 8

Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the

y-intercept so b=8

Answer:

Find the first and second derivatives:

[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]

To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:

[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]

To determine the type of stationary points, input the found values of x into the second derivative.

[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]

[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]

Finally, to find the y-values of the stationary points, input the found values of x into the original function:

[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]

[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]

Therefore:

[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \underset{\textit{we'll use this one}}{log_a a^x = x}\qquad \qquad a^{log_a x}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2.7e^x-5 ~~ = ~~33.6\implies 2.7e^x~~ = ~~38.6\implies e^x=\cfrac{38.6}{2.7} \\\\\\ \log_e(e^x)=\log_e\left( \cfrac{38.6}{2.7} \right)\implies x=\ln\left( \cfrac{38.6}{2.7} \right)\implies x\approx 2.66[/tex]

Answer:

[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx = \boxed{ - \frac{\sqrt{x^4 + 1} (8x^8 - 4x^4 + 3)}{30x^{10}} + C }[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Rule [Basic Power Rule]:

Integration

Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Methods: U-Substitution, U-Solve, Trigonometric Substitution

Step-by-step explanation:

*Note:

The problem is too big to fit all work. I will assume that you know how to do basic calculus.

Step 1: Define

Identify given.

[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution/u-solve.

Step 4: Integrate Pt. 3

Start solving the integral using u-solve:

[tex]\displaystyle \begin{aligned}\int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx & = \int {\frac{1}{x^{11}\sqrt{x^4 + 1}}} \, dx \\& = \int {\frac{1}{2u^6 \sqrt{u^2 + 1}}} \, du \\& = \frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du \\\end{aligned}[/tex]

Step 5: Integrate Pt. 4

Identify variables for trigonometric substitution.

Step 6: Integrate Pt. 5

Let's focus on just the integral itself. Apply the Trigonometric Substitution Integration Method and other basic integration techniques listed under "Calculus":

[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\\end{aligned}[/tex]

Step 7: Integrate Pt. 6

Identify variables for u-substitution/u-solve again.

Use another variable besides u to avoid confusion with earlier substitutions:

Step 8: Integrate Pt. 7

Reduce the integral using the U-Solve Integration Method and other basic integration techniques listed under "Calculus":

[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\& = \int {-(w^2 - 1)^2} \, dw \\& = - \int {(w^2 - 1)^2} \, dw \\& = - \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw \\\end{aligned}[/tex]

Step 9: Integrate Pt. 8

Solve the integral using basic integration techniques listed under "Calculus":

[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \Bigg[ \int {w^4} \, dx - \int {2w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \int {w^4} \, dx - 2 \int {w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \frac{w^5}{5} - \frac{2w^3}{3} + w + C \Bigg] \\& = - \frac{w^5}{5} + \frac{2w^3}{3} - w + C \\& = - \frac{\csc^5 v}{5} + \frac{2\csc^3 v}{3} - \csc v + C \\\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{5u^5} + \frac{2(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{u} + C \\\end{aligned}[/tex]

Step 10: Integrate Pt. 9

Let's substitute our integral value into our integral from "Step 4":

[tex]\displaystyle\begin{aligned}\frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{10u^5} + \frac{(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{2u} + C \\& = - \frac{(x^4 + 1)^\Big{\frac{5}{2}}}{10x^{10}} + \frac{(x^4 + 1)^\Big{\frac{3}{2}}}{3x^6} - \frac{\sqrt{x^4 + 1}}{2x^2} + C \\& = \boxed{ - \frac{\sqrt{x^4 + 1}(8x^8 - 4x^4 + 3)}{30x^{10}} + C } \\\end{aligned}[/tex]

∴ we have found the indefinite integral.

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Learn more about integration: https://brainly.com/question/27780220

Learn more about Calculus: https://brainly.com/question/27746481

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Topic: Calculus

Answer:

Step-by-step explanation:

Making the equation of the parabola :

⇒ y = a(x - h)² + k

⇒ y = (x + 1)² - 17 - 13

⇒ y = (x + 1)² - 30

x-intercepts have y = 0 :

Taking the square root on each side :

The x-intercepts are :

Answer: C)

Step-by-step explanation:

A Line graph

Sure hope this helps you

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

Answer:V≈3.29×105in³

Step-by-step explanation:im smart

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Step-by-step explanation:

the thing you need to do here is put the value of x and just simply the expression.....

= 3y + 78 + 6y + 13

= 3 × 3 + 78 + 6 × 3 + 13

= 9 + 78 + 18 + 13

= 118

[tex]....[/tex]

Answer:

3×3+78+6×3÷13

9+78+18÷13

88.38

Step-by-step explanation:

i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct

Answer:

thousandths

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

We are given the inequality x≤2

First off, with the inequality sign being ≤ rather than <, we know that 2 is also included. This means that x can be equal to 2 or less than 2.

Since 2 is included, we know we are looking for a solid line.

That said, we can eliminate the 1st and 4th graphs because there is a dotted line at 2, meaning that 2 is not included.

Next, based on the inequality sign, we know that values less than 2 satisfy it. So judging by the shaded region on each graph, we see that Graph 2 is the one that satisfies it.

For clarity's sake, one trick you can use is thinking of the inequality sign as an arrow. If it points left, values toward the left should be shaded and vice versa.

Lastly, I'll give you the inequality for each graph.

Graph 1: x<2

Graph 2: x≤2

Graph 3: x≥2

Graph 4: x>2

Hope that helps, let me know if you have any questions!