the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts
Answer:
3.5?
Step-by-step explanation:
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.
We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,
Average rate = (1750 - 0) / (600 - 100)
Average rate = 1750 / 500
Average rate = 3.5
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
More about the average rate change of a function link is given below.
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4 + 5 x (10 divided by 9 ) 4 = ?
Answer:
40
Step-by-step explanation:
4+5=9
9x(10/9)=10
10x4=40
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
Answer:
[tex]B = 4x + 8[/tex]
A box = $11
Step-by-step explanation:
Given
[tex]Total = 7x + 13[/tex]
Represent the first order with A and the second with B.
So, we have:
[tex]A = 3x + 5[/tex]
Solving (a): Find B.
To find B, we make use of:
[tex]A + B = Total[/tex]
Make B the subject
[tex]B = Total - A[/tex]
Substitute values for Total and A
[tex]B = 7x + 13 - (3x + 5)[/tex]
Open bracket
[tex]B = 7x + 13 - 3x - 5[/tex]
Collect Like Terms
[tex]B = 7x - 3x + 13 - 5[/tex]
[tex]B = 4x + 8[/tex]
Solving (b): Cost of a box of light bulb
This means that:
[tex]Total = 90[/tex]
Substitute 7x + 13 for Total
[tex]7x + 13 = 90[/tex]
Collect Like Terms
[tex]7x = 90 - 13[/tex]
[tex]7x = 77[/tex]
Make x the subject
[tex]x = \frac{77}{7}[/tex]
[tex]x = 11[/tex]
What is the area of the triangle?
2
2
units2
Answer:
2
Step-by-step explanation:
you just multiply
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools
Answer:
its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest
The population of interest will most likely be option B. all of the sea urchins near the plant.
The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.
A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.
Learn more about population of interest here:
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Will mark brainliest!!!
Solve for x
Answer:
2
Step-by-step explanation:
This question is geometry
Answer:
Its 138
Step-by-step explanation:
LOL
write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
Hiiiii wassup I need helppppp T-T
What do the words “some number less” mean?
Answer: a # less i beleavie...
adjective. innumerable; countless; myriad. without anumber
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
6x - 9x - 5 + 8 + 7x
Show your work.
Answer:
6x−9x−5+8+7x
=6x+−9x+−5+8+7x
Combine Like Terms:
=6x+−9x+−5+8+7x
=(6x+−9x+7x)+(−5+8)
=4x+3
Answer:
=4x+3
Step-by-step explanation:
I hope this helps
Answer:
=4x + 3
Step-by-step explanation:
Add the numbers
6
2
If f(x) = -2x2- x, what is f(2) and f(3)?
(1, 1), (–1,5)
find slope
Answer:
slope = 0MARK ME AS A BRAINLIST AND FOLLOW MEFive units to the right of -6
Answer: -1
Step-by-step explanation:
YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2
Answer:
yes :(
Step-by-step explanation:
which of the following is equivalent to 3(5+2i)-2(3-6i)^2
Answer:
can u show me which following?
Step-by-step explanation:
show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;
Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7
Answer:
D. 7
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What’s the anwser for this. I’m so confused
Answer:
Its A
Step-by-step explanation:
Compute 292, 000 divide 100.
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
What is the completely factored form of this polynomial?
81x4 − 16y4
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
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Plz guys can you guys help me
Answer:
answer B is correct of this question
Answer:I believe the answer is C my dude
Step-by-step explanation:
3(9+c+b) if c=13 and b=4
Answer:
78
Step-by-step explanation:
Hope this helped. Pls mark brainliest
Answer:
78
Step-by-step explanation:
3(9+13+4)
9+13+4 = 26
3(26) = 78
Find the mid segment of GH
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
A store offers some customers a coupon and then counts how many customers return to the store to shop again. The two-way table shows the results of this experiment. Offered coupon Not offered coupon Returned to store 85 60 Did not return to store 25 38 Select a word or phrase from the drop-down menus to correctly complete the statements describing the association. More customers who returned to the store were Choose... . More customers who did not return to the store were Choose... . There Choose... appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.
Answer:
More customers who returned to the store were "Offered a Coupon"
More customers who did not return to the store were "not offered a coupon"
There "does" appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.
Hope this helps buddy!
Step-by-step explanation:
Answer:
1.offered coupon
2.not offered a coupon
3. does
Help how do I solve this and what is the answer. Explain plz
