Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.

Answer:

Step-by-step explanation:

Use the equation of circumference and substitute the value of radius:

Compare the answer choices to find the correct one, which is:

[tex]\\ \sf\longmapsto Circumference=2\pi r[/tex]

[tex]\\ \sf\longmapsto Circumference=2(3)(π)=6\pi[/tex]

Now

Check 1st option

[tex]\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi[/tex]

Answer:

There is a area of triangle and there is two trapezium so 8×17=136

Answer:

A = 9 9/10 sq inches

Step-by-step explanation:

A = lw

A = 12/5 x 33/8

A = 396/40

A = 9 9/10 sq inches

Answer:

$839.95

Step-by-step explanation:

There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:

7%=7/100=0.07

7% “of” the amount says to multiply. The word “of” in maths means multiply:

0.07×$785=$54.95.  The tax is $54.95

The computer costs $785. Plus the tax $54.95:  $785+$54.95=$839.95

She pays $839.95 for the computer, including tax.

You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:

100% of the computer price plus 7% of the computer price to get the total cost taxes in.

100% + 7% = 107%. And 107% = 1.07

So we have the following:

$785×1.07=$839.95

Hope this helps :)

Answer:

$839.95

Step-by-step explanation:

From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:

= $785 + (7% × $785)

= $785 + (0.07 × $785)

= $785 + $54.95

= $839.95

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

Learn more experimental design here:

https://brainly.com/question/15549600

https://brainly.com/question/17246426

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

Answer:

For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.

Step-by-step explanation:

Have a GREAT DAY !

Answer:

60 weeks

Step-by-step explanation:

Setup a proportion.

[tex] \frac{weeks}{bins} \frac{1}{6} = \frac{w}{360} [/tex]

cross multiple

[tex]6w = 360[/tex]

now divide by 6

[tex] \frac{6w}{6} = \frac{360}{6} [/tex]

[tex]w = 60[/tex]

Answer/Step-by-step explanation:

Important Information:

1 Week to fill 6 Bins

Question to answer:

How Long will it takes to fill 360 Bins

Solution/Explanation:

360 Divided by 6 =

60 Week

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

To learn more about equations click :

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Answer:

Should look like this

Step-by-step explanation:

y-intercept = 2

slope = 1

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

Answer:

19.43

Step-by-step explanation:

This is a trick for you.

Make the numbers to become whole numbers(1474+469)

After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Answer:

0.0378788 mph is the correct answer here

Answer:

The 6 is the base of the expression

Step-by-step explanation:

The base number is the number in front of the exponent.

So [tex]6^{-4}[/tex]  the 6 is the base of the expression

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w

= 28w + 12...ans

What we know:

The baby gains 1.5 pounds per month.

Its weight at birth is 12 pounds.

Therefore, when looking to find the weight after t time, we have to take the constant and the rate of change and place them into the equation. This means our equation will look something like this:

W(t) = Rate of Change x number of months + weight at birth.

Or

W(t) = 1.5(t) + 12

So if in 4 months we look at the weight, the baby will be:

1.5 (4) + 12 = W(t)

6 + 12 = W(t)

18 = W(t)

After 4 months the baby is 18 pounds.

Answer: W(t) = 1.5(t) + 12

I hope this helps! :)

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

Answer:

Step-by-step explanation:

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

Hope this helped!!

Answer:

A. 5r3 − 34r2 + 44r − 16

Step-by-step explanation:

If this is the question in picture below.

Answer:

468

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the square of 0.81?

0.9

The square root of 0.81 is equal to 0.9 or 9/10

--------------

check

0.9 * 0.9 = 0.81

the answer is good