Answers
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
Related Questions
29 of the first 42 presidents of the United States were lawyers. What percentage of these presidents were lawyers? (Give answer to nearest 1%) Show work
Answers
Answer:
62
Step-by-step explanation:
divide 29 by 42 and multiply the answer by 100
Answer: 69.05%
Step-by-step explanation:
21=50%
10.5=25%
If the tree cast a shadow of 40 feet, how tall is the tree? A. 30 feet. B.35 ft. C.40 ft. D.45 ft.
Answers
Answer:
A)30feet
Step-by-step explanation:
Answer:
A. 30 feetStep-by-step explanation:
This is a right triangle
Using Pythagorean theorem we can find the height:
x² + 40² = 50²x² = 2500 - 1600x² = 900x = √900x = 30 ftOption A is correct
Solve the inequality.
n - 21 > 16
Answers
Why:cause I’m pretty sure it should be that
Answer:
n>37
Move all all terms not containing n to the side of the inequality.
find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years
Answers
Answer:
A= ₹3,112.72
CI = ₹1,112.72
Step-by-step explanation:
Here P = ₹ 12000
Since, interest is compounded half yearly.
Therefore, R = 6/2 = 3%
n = 3/2* 2 = 3 half years
[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]
[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]
[tex] \therefore A= 12000\times 1.092727 [/tex]
[tex] \therefore A= 13,112.724 [/tex]
[tex] \therefore A=Rs. \:13,112.72 [/tex]
CI = A - P
CI = 13,112.72 - 12000
CI = ₹1,112.72
IM HONESTLY DESPERATE THIRD TIME DOING THIS WILL BRAINLEIST- what are some similarities and differences of incenter and circumcenter of triangles?
Answers
Answer:
Incenter is the point for a triangle where the center of the circle that will be drawn to be tangent to all three sides of the triangle, the circle will be inside (inscribed within ) the triangle. The incenter is the point where all three angle bisectors of the triangle intersect. The incenter is the point that is equidistant from all three sides of the triangle. The perpendicular distance to each side will be a radius of the incenter circle
Circumcenter is the point for a triangle where the center of the circle that will be drawn that is tangent to all three vertices of the triangle. The circle will be outside (circumscribed about) the triangle. The circumcenter is the point where all three perpendicular bisectors of the sides of the triangle intersect. The circumcenter is equidistant to all three vertices of the triangle.The radii of the circle will touch each of the three vertices of the circle .
Juanita is making bread. She needs 3 1/2 cups of flour. Juanita only has 1/4 measuring cup. How many cups of flour will Juanita u see to prepare the bread
Answers
Answer:
if she uses a 1/4 measuring cup she would need to get 14 1/4 cups of flour
Step-by-step explanation:
H
SSS
SAS
ASA
AAS
HL
cannot determine
Answers
Answer:
last answer
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answers
Answer:
7
Step-by-step explanation:
Pls help! It has to be due by 5pm.
Answers
Answer:
11 and 3/4 in further.
Answer:
I think he has to jump 11 3/4 inches further
Step-by-step explanation:
pls mark me as brainliest!
A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. They usually sell 3times as many pairs of wemons shoes as men's.How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?
Answers
Answer:
Number of men's shoes = x = 9 shoes
Number of women's shoes = y = 27 shoes
Step-by-step explanation:
A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. .How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?
Number of men's shoes = x
Number of women's shoes = y
The system of equations is given as:
$25 × x + $65 × y = $1980
25x + 36y = $1980..... Equation 1
They usually sell 3times as many pairs of wemons shoes as men's
y = 3x
25x + 65y = $1980..... Equation 1
25x + 65(3x) = 1980
25x + 195x = 1980
220x = 1980
x = 1980/220
x = 9 shoes
y = 3x
y = 3(9)
y = 27 shoes
Number of men's shoes = x = 9 shoes
Number of women's shoes = y = 27 shoes
Please does anyone know the correct answer choice for this question!!!????
Answers
Answer:
(3:-2) bc u must substitute -2 in for y in the 2th equation
Kurt has 26 plant on his porch his neighbor gives him p more plants. Now he has 31 plants in all a. Write an equation to represent the situation
Answers
Answer:
26 + 5 = 31
Step-by-step explanation:
Please pick me as brainliest
Answer:
31-26=p
Step-by-step explanation:
if you need the p value, its 5
to find the p value, subtract 26 from 31
hope this helps
please mark brainliest
When you solve y = x/4 - 6 for x, which equation is the result?
Answers
Final Answer: [tex]x = 4(y + 6)[/tex]
Steps/Reasons/Explanation:
Question: When you solve [tex]y = \frac{x}{4} - 6[/tex] for x, which equation is the result?
Step 1: Add [tex]6[/tex] to both sides.
[tex]y + 6 = \frac{x}{4}[/tex]
Step 2: Multiply both sides by [tex]4[/tex].
[tex](y + 6)[/tex] × [tex]4 = x[/tex]
Step 3: Regroup terms.
[tex]4(y + 6) = x[/tex]
Step 4: Switch sides.
[tex]x = 4(y + 6)[/tex]
~I hope I helped you :)~
help me please im dumb
Answers
Answer:
I believe the answer is true.
Step-by-step explanation:
Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3
Answer:
its true.
because BEDMAS.
^
|
B( bracket )
what do you do with points
Answers
Answer: i think you need them to ask questions
Step-by-step explanation: whenever you ask a question it shows your questions and how many you need, so you have to answer questions to get some.
If two sides of a triangle are 4 inches and 6 inches, determine the possible lengths of
the third side.
O 4 inches < x < 6 inches
O 2 inches < x < 10 inches
O 4 inches < x < 10 inches
O 5 inches < x < 11 inches
Answers
Answer:
4 inches < X < 6 inches because it says that 1 side of the triangle is 4 inches and the other side of the triangle is 6 inches.
Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.
Answers
Answer:
2,3,4 are correett
Step-by-step explanation:
1,5,6 are wroongg
Answer: 2 3 4 are your answers
In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is
Answers
Answer:
B = 34 C = 108 F = 94
Step-by-step explanation:
Answer:
B = 34 C = 108 F = 72
Step-by-step explanation:
It's not my answer look in the comments for the other answer :P
3(x-6)
it says too expand and simplify it plz help
Answers
Answer:
3x-18
Step-by-step explanation:
To expand this you must use the distributive property to distribute the 3. Using this property you can multiply the x and -6 by 3. So the expanded equation would first look like x*3 + -6*3. Then simplify to get 3x-18.
Answer:
3x-18 expanded
Step-by-step explanation:
x-6 simplified
use the distributive property to expand the expression
3*x= 3x
3*-6=-18
to simplify,
find the GCF and solve
gcf= 3
3x/3=1x or just x
-18/3=-6
hope this helps
please mark brainliest
A club will create t-shirts for a fundraiser. The club members need to compare the cost of creating the t-shirts between
two companies. Company A charges $30 for setup, plus $5 per t-shirt. Company B charges $15 for setup, plus $7 per
t-shirt. The situation is shown on the graph below. Which option best interprets the results from the graph?
A) For orders less than or equal to 7 shirts,
the cost of using Company A is less.
B) For orders less than or equal to 8 shirts,
the cost of using Company A is less.
C) For orders less than or equal to 7 shirts,
the cost of using Company B is less.
D) For orders less than or equal to 8 shirts,
the cost of using Company B is less.
Answers
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answers
Answer:
(-3,12)
Step-by-step explanation:
help with question 1 plssssss
Answers
its answer comes in point
Step-by-step explanation:
3a+5a+12=90
8a=90-12
8a=78
a=78/8
a=9.75
if it is wrong than tell me plzzz
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Answers
Given : last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Colin plays cricket again on Sunday. He gets 29 runs.
To find : a) Work out Colin's mean score.
b) What is his new mean score
Solution:
last 10 run scores Colin got in cricket
1, 16, 5, 25, 26, 32, 5, 7, 1, 7
Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7 = 125
Total Innings = 10
Mean Score = 125/10 = 12.5
Colin plays cricket again on Sunday. He gets 29 runs.
=> New Total Score = 125 + 29 = 154
New Total Innings = 10 + 1 = 11
New Mean Score = 154/11 = 14
Mean Score = 12.5
New Mean Score = 14
Hope this helps! ;)
Answer:
The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.
Step-by-step explanation:
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answers
Answer:
C. Obtuse
Step-by-step explanation:
Find the equation of the line y=___x+___
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
...............................
On laisse tomber une balle d'une hauteur de 1m.
A chaque rebond, elle rebondit aux 3/4 de la hauteur d'où elle est tombée.
Quelle hauteur, en cm, la balle atteint-elle au cinquième rebond ? Donner une valeur approchée à l'unité près.
Answers
.......................
Is this correct? I’m too tired and confused to understand this..
Answers
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.
Answers
Answer:
the answer is B I think sorry if I'm wrong
We want to check if function A has a greater initial value than function B. We will see that Emma is incorrect, the correct option is the third one.
Linear equations:A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept (we can also call the y-intercept as the initial value).
For function A we can see that the initial value is y = -2
While for function B we need to find it, but by looking at the table, we can see that for each increase of 2 units in the x-variable we have an increase of one unit on the y-variable.
Then we can see that for x = 0, we would have y = 1.
Meaning that the initial value of function B is y = 1, which is greater than the one for function A.
Then Emma is incorrect, the correct option is the third one.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4025726
What’s the measurement of the angle
Answers
Answer:
Step-by-step explanation:
Answer:
i think c
Step-by-step explanation:
not completely sure tho
Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.
Answers
Answer:
⇒ Draw a line segment AB=5.5cm
⇒ Take A as a center and draw an angle of 45
o
.
⇒ Cut off AD=5cm
⇒ Take D as a center with radius 4.5cm and draw an arc.
⇒ Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.
⇒ Join BC and CD.
∴ ABCD is a required quadrilateral.
Step-by-step explanation:
hope this helps!