The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the line tangent to the graph of f at x=−1 ?

Answer:

50+3x+4 = 90

54+3x = 90

3x = 90-54

3x = 36

x = 12

3x+4  = 3(12)+4

          = 36+4

          = 40

Answer:

180,000

Step-by-step explanation:

You can multiply 9 * 2 =  18 then add all the 4 0000s

therefore, your answer is 180,000

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

To express the product of 900 and 200 in scientific notation, we need to multiply the two numbers and then write the result in the form of

a x [tex]10^n[/tex], where a is a number between 1 and 10 and n is an integer.

So,

900 x 200 = 180000

To express 180000 in scientific notation, we can write it as:

1.8 x [tex]10^5[/tex]

Therefore,

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

Learn more about scientific notation here:

https://brainly.com/question/18073768

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Answer:

10 miles

Step-by-step

Answer:

A is the answer.

This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

Answer:

Line A: [tex]y=1.5x+1[/tex]

Line B: [tex]y=-1/3 x[/tex]

I hope this helps and good luck!

Answer:

Linear pair

Step-by-step explanation:

Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.

Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.

Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.

Answer:

C. No, because not all of the pairs represent the same ratio

Step-by-step explanation:

6/2 = 3

12/5 = 2.4

14/6 = 2.3

18/8 = 2.25

Answer:its 309

Step-by-step explanation:

14.5% = 0.145

Step-by-step explanation:

The term 'percent' (%) actually means per 100. So when you say 14.5% it means 14.5 per 100. So when you put that into an equation it actually means:

So when you solve it, 14.5% is actually 0.145 and not 14.5.

Your friend is then incorrect because:

14.5% ≠ 14.5

Answer:

Your friend would be correct. 14.5% divided by 100 is equal to 0.145. When you divide 29/200 you also get 0.145, if you multiply it by 100 you get 14.5%.

Answer:

you can draw < > ≤ ≥ as duck mouths or something.

and the symbol ≠ can be inputed as a wire or dog leash, so if I had to draw this, draw a park where there is a lake on the right side then have a bench where an old man or a little child is feeding ducks with little bits of breab with its beaks opened then have like, a girl jogging with her dog and put ≠ as a leash for the dog and that's all I got. If you want more add street lights hanging above like triangles.

Answer:

Uh pick a graph that is straight line and passes through 0

Step-by-step explanation:

You don't have screenshot

Answer:

This would be simaler to the answer

Step-by-step explanation:

A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

Answer:

you forgot to add the options.

Step-by-step explanation:

Answer:

y≤−18

Step-by-step explanation:

Answer:

“Be strong and courageous. Do not fear or be in dread of them, for it is the LORD your God who goes with you. He will not leave you or forsake you.” [Deuteronomy 31:6]

Step-by-step explanation:

Answer:

The first one would be -4 and the second one would be 0

Step-by-step explanation:

look at where they cross the y line

Step-by-step explanation:

108-ambulance

100- police

1098-child laber

Answer:

1 4/5

Step-by-step explanation:

2/5-1/7=9/35

9/35 / 1/7=9/5=1 4/5

Answer:

Yes.

Step-by-step explanation:

Because.

Answer:

23

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]

And we want to find (f+g)(x).

Note that this is the same thing to f(x)+g(x). Therefore:

[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]

We simply substituted them for their equations.

Simplify. Combine like terms:

[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]

Add:

[tex]=3x^2-2x-1[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

i think

Answer:

[tex]a : b = 14 : 29[/tex]

Step-by-step explanation:

Given:

[tex]Vanilla = 58[/tex]

[tex]Chocolate = 28[/tex]

Required

Represent as ratio

Let chocolate be represented with a and vanilla be represented with b

So, we have:

[tex]a : b[/tex]

[tex]a : b = 28 : 58[/tex]

Divide ratio by 2

[tex]a : b = 14 : 29[/tex]

Hence, the required ratio is [tex]14:29[/tex]

Answer:

x=18.9

Step-by-step explanation:

tan48=x/17

17tan(48)=x

18.9=x

Answer:

6

Step-by-step explanation:

Answer:1.5 feet

Step-by-step explanation: your welcome

Answer:

60degree ...........

Answer:

I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.

Step-by-step explanation:

Answer:Add them up

Step-by-step explanation:

Answer:

298.

Step-by-step explanation:  

formula- n in the next term is (n+3)

basically adding three

3x100=300

-2+300=298

Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.