1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
3 years ago
7

I need help! Please. Justify answer using Intermediate value theorem (IVT)

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Step-by-step explanation:

N(t) is continuous at t = 6, so f(6) = 25(6) + 150 = 300.

f(0) = 80.

f(t) is continuous, so by Intermediate Value Theorem, f(t) must equal 250 at some point between t=0 and t=6.

You might be interested in
What is the cost price of 600 pens
Rufina [12.5K]

Answer:

600 *10=6000 if each of these are of 10

6 0
3 years ago
(2a^2b + 3ab^2 - b^3) - (4b^3 - 3ab^2 -6a^2b)
skelet666 [1.2K]

<em>Hi there!</em>

<em>~</em>

<em></em>(2a^2b+3ab^2-b^3)-(4b^3-3ab^2-6a^2b)<em></em>

<em>Distribute the Negative Sign:</em>

<em></em>= 2a^2 b + 3ab^2 - b^3 + -1(4b^3 - 3ab^2 - 6a^2b)\\= 2a^2 b + 3ab^2 + - b^3 + -1 (4b^3) + -1 (-3ab^2) + -1 (-6a^2b)\\= 2a^2 b + 3ab^2 + -b^3 + -4b^3 + 3ab^2 + 6a^2 b<em></em>

<em>Combine Like Terms:</em>

<em></em>= 2a^2 b + 3ab^2 - b^3 + -4ab^3 + 3ab^2 + 6a^2 b\\= (2a^2 b + 6a^2 b) + ( 3ab^2 + 3ab^2) + (-b^3 + -4b^3) \\= 8a^2 b + 6ab^2 + -5b^3<em></em>

<em>Answer : </em>8a^2 b + 6ab^2 + -5b^3<em></em>

<em>Hope this helped you!</em>

7 0
3 years ago
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Natali5045456 [20]
<h3>Answers:</h3>

W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is (x,y) \to (kx,ky) with k = 2. So we can say the more specific dilation rule is (x,y) \to (2x,2y)

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

  • V = (-2, -1)
  • W = (-2, 2)
  • X = (0, 2)
  • Y = (3, -1)

will dilate to the corresponding image points

  • V ' = (-4, -2)
  • W ' = (-4, 4)
  • X ' = (0, 4)
  • Y ' = (6, -2)

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

4 0
3 years ago
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i
mars1129 [50]

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

l =24in --- length

w = 15in --- width

h =12in --- height

V_1 = 900in^3 --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

b = l * w

b =24in * 15in

b =360in^2

The height of the water that was removed is:

<em />H = \frac{V_1}{b}<em> i.e. the volume of the water removed divided by the base area</em>

H = \frac{900in^3}{360in^2}

H = \frac{900in}{360}

H = 2.5in

The absolute change in height is:

\triangle H = |h - H|

\triangle H = |12in - 2.5in|

\triangle H = |9.5in|

\triangle H = 9.5in

8 0
2 years ago
Solve for x <br>x- 2x (12 - 1/2) =2 (4-2x) +20<br>A.-14/9<br>B.-9/14<br>C.14/9<br>D.9/14​
MrMuchimi

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

7 0
3 years ago
Other questions:
  • What is the volume of the prism?<br> _2 cm
    10·2 answers
  • Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤
    10·1 answer
  • #3 please I don't understand
    11·2 answers
  • How to work this problem
    9·2 answers
  • A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?
    11·1 answer
  • If Tony can run 3 miles in 18 minutes. How far can he run in 27 minutes?
    6·1 answer
  • Who can help me with exponential growth and decay for my homework.
    8·1 answer
  • expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation,
    12·1 answer
  • On the way to the Samuelsons’, Mr. Anderson filled his car with gas. He put in 9.7 gallons and paid $3.45 per gallon. Estimate t
    12·2 answers
  • Can anybody help me with this number 9 ? show work please and thank you
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!