2 parts. help plz. show work
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.
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
What is the range of y = x + 20?
What is negative 2 3/8 as a decimal?
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
divide 123 by 13 with remainder
Answer:
9 Remainder 6
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 13 on the left side and the dividend 123 on the right side like this:
1 3 ⟌ 1 2 3
Step 2:
The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
1 3 ⟌ 1 2 3
Step 3:
Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.
0
1 3 ⟌ 1 2 3
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
1 3 ⟌ 1 2 3
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
1 3 ⟌ 1 2 3
- 0
1 2
Step 6:
The divisor (13) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer at the bottom:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
0
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.
0 0
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2
Step 9:
Move down the last digit of the dividend (3) like this:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
Step 10:
The divisor (13) goes into the bottom number (123), 9 time(s). Therefore put 9 on top:
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
Step 11:
Multiply the divisor by the result in the previous step (13 x 9 = 117) and write the answer at the bottom:
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
1 1 7
Step 12:
Subtract the result in the previous step from the number written above it. (123 - 117 = 6) and write the answer at the bottom.
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
- 1 1 7
6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 123 divided by 13 calculated using Long Division is:
**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much
Answer: A,C
Step-by-step explanation: They are facing each other making them interior angles
Which of the following equations represents the greatest value of x?
Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
equation 3
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
125/3=41 which is the greatest
(can I get brainliest please)
Plzzzz helppppp meeeeee
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
A consumer group is investigating the relationship between sugar content and number of calories for different brands of cereal. The equation of the line of best fit for the data is y = 4x + 80, where x is the number of grams of sugar and y is the number of calories in one serving.
What is the meaning of the y-intercept in the line of best fit?
A. Out of all the brands of cereal, the greatest number of calories in one serving was 80.
B. The number of calories in one serving is estimated to be 80 if there is 0 grams of sugar.
C. Out of all the brands of cereal, there were 0 brands of cereal that had 80 calories in one serving.
D. The number of calories in one serving is expected to increase by 80 for each increase in 1 gram of sugar.
Answer:
The answer is B
Step-by-step explanation:
B says that 80 grams is what you have if x is 0 which makes more sense than the rest
The statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have:
The equation of the line of best fit for the data:
y = 4x + 80
If we put x = 0 then y:
y = 4(0) + 80
y = 80
This means the number of calories in one serving is estimated to be 80 if there are 0 grams of sugar.
Thus, the statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ2
PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST
Answer:
d
Step-by-step explanation:
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
need help asap
hsjshsuehdue
1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of the basketball in cubic centimeters?
Answer:
V = 8,181.23 [tex]cm^{3}[/tex]
Step-by-step explanation:
Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...
V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]
radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.
V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]
V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]
V = 8,181.23 [tex]cm^{3}[/tex]
You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?
Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.
Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.
We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.
The results of this survey may be affected by nonresponse bias.
Answer:
The results of this survey may be affected by nonrepsonse bias
Step-by-step explanation:
Just took this test
Answer:
The results of the survey may be affected by no response bias
Step-by-step explanation:
Do Anybody know this ?
Answer:
R= 30-9t.... I think
Step-by-step explanation:
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
15, 45, 70, 30, 120
What is the mean absolute deviation of the 5 text messages?
Answer:
the answer is 56
Step-by-step explanation:
15+45+70+30+120=280
280 divided by 5 is 56
To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed
Hope this helps
Have a great day!
Look at this set of ordered pairs:
h
(5, 15)
(6,0)
(19, 5)
(-1, 12)
Is this relation a function?
no
yes
Answer:
Yes
Step-by-step explanation:
.......................
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answer:
bail
Step-by-step explanation:
Solve for the value of x.
Answer:
X=63
Step-by-step explanation:
180-134=46
since the sides are same, the angles are 67.
x+4=67
x=63
Benny's water bottle has 15 ounces of
water and he drinks 0.5 ounces per
second. Juan's water bottle has 10
ounces of water and he adds 0.25
ounces per second. After how many
seconds will Benny's water bottle have
no more than Juan's?
Answer:
Benny's:[tex]15/0.5= 30 \\[/tex]
= 30 seconds to complete his bottle
Juan's = [tex]10/0.25 = 40[/tex]
= 40 seconds to complete his water bottle.
Step-by-step explanation:
Hope this helped you so much with your math problem, and I hope that I get brainly.
5x-2x(x-1)=???????????????????????????????
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?
Answer:
11:45 PM
Step-by-step explanation:
please mark brainliest :D
3/4
of a number is 24.
Find the number.
Answer:
32
Step-by-step explanation:
Divide 24 by 3/4 to find the number.
24 ÷ 3/4
= 24 × 4/3
= 32
Answer:
3/4×X=24
4×3/4×X=4×24
3x=96
X=32
Step-by-step explanation:
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answer:
%22.2
Step-by-step explanation:
I WILL GIVE BRAINLEST!!!!!!!!
A dress is on sale for 35% off the regular price. Which expression represents the
price of the dress after the discount? D is to represent the regular price of the
dress after the discount.
A. 0.35d
B. 0.65d
C. 1.35d
D. 1.65d
PLZSSSSSS SHOW YOUR WORK PLZSSSSS
Answer: 0.65d (second choice)
====================================================
Explanation:
If you have a 35% discount, this means you save 35% but still pay 65% of the original price.
Notice how 35%+65% = 100%
Or you can think of it as 100% - 35% = 65%
Then we rewrite 65% into 0.65
If d is the original price, then d*0.65 = 0.65d is the price after the discount.
------------------------------
As a slightly longer alternative method, we can say,
d = original price
discount = 35% of d = 0.35d
final price = d - 0.35d
final price = 1d - 0.35d
final price = (1-0.35)d
final price = 0.65d
Jalen bought 24 juice packs for $7.20 . Tia bought 6 juice packs for $2.70 . Which statement describes the difference in the unit prices in jalen’s and tia’s juice packs
Answer:
Jalen's purchase unit rate: 0.3
Tia's purchase unit rate: 0.45
0.45 - 0.3 =
Step-by-step explanation:
If a second square window has an area of 100 square inches, what is the length of each side?
Answer:
25
Step-by-step explanation:
25, 50, 75, 100