The left side of a solid block is held at a constant temperature of 200°C. The temperature profile within the block is given by T=200−5x−x2 where x is the distance from the left side of the block in centimeters and T is the temperature in degrees Celsius of the block at location x. At what value of x is T=50°C?

Answer:

with T = 50⁰C, we have:

50 = 200 - 5x - x²

<=> x² + 5x = 150

<=> x² + 5x - 150 = 0

=> x = 10

Evaluate w - (w - 8) + v, when w = 11 and v = 16.

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The coordinate grid shows the graph of four equations:

A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution? (5 points)

Select one:
a. A and D
b. C and D
c. A and C
d. B and D

Convert 29.5 kilograms to grams.

Enter your answer in the box.

I need help with this problem

Find the length of BC please

Put these numbers in smallest to largest

Kamira's weekly salary is based on the number of pairs of shoes she sells. She is paid a base salary of $25, plus $5 for every pair of shoes she
sells. Which linear equation models this situation showing the relationship between her pay (p) and pairs of shoes (s) sold?

. What are the two factors of 3x^2+
13x + 14

plzzzz help im stuck hurry pls

Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?

Find the lines of symmetry for each shape. Select all that apply.​

25 + (9 x 2) in this problem? What would you do first to solve?

Which is the perimeter of the shape? (1 point)

Find KL pls fast correct answer

What is the value of the expression (9 1/3)^3?

Find the missing side of the triangle.
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PLEASE HELP ME 15 POINTS

1- Which vehicle has the better gas mileage? Explain your reasoning using a line graph comparing the number of gallons to the number of miles covered.


2- Describe the graph:

1. If A is an invertible matrix, then what is det(A-1) equal to?
a) 0
b) det (A)
c) 1/det(A)
d) 1
​

Find the area of that with explanations thanks

5. The title of most cabinet members is?

general
secretary

the radius of a circle is (x-3)m. find the area of the circle

A box contains 20balls,x of which are white.if the probability of selecting a non white ball at random is 3/5.find the value of x​

State if the triangles in each pair are similar if so state if you know they are similar (please show work if possible)

hii! i’ll give brainliest pls help

A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Round to the nearest tenth if needed.

Find the diameter and circumference

6.2 mi

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58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved​

Plot these numbers on the number line:
V2, V5, 3v8, v9, v15, 3v25

Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)

On his way to a job site, Spencer stops to buy bags of concrete mix. Each bag weighs 60 pounds. Spencer’s truck can carry at most 1,700 pounds, and he already has 320 pounds of tools and other equipment in his truck. What are the possible numbers of bags of concrete mix Spencer can buy?