The table shows the height of a candle as it is
continuously burned. Which statement describes the candle?
A) The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
B) The candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour.
C) The candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour.
D) The candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.
Answers
The statement that describes the candle is , The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.
What is Rate of Change ?Rate of Change is the speed at which an object is changing its parameters , or the change of population with time etc.
It is given in the table that the starting height of the candle is 25 cm
The rate at which it is burning is determined as
Rate = (24.375 - 25 )/(0.25-0)
= -0.25
- sign indicates the decrease in the height
The rate is 0.25
On the basis of the data
The statement that describes the candle is
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.
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Related Questions
Darren has a wooden board that is Three-fifths of a meter long. He cuts the board into 3 equal parts. How long is each section of board? A model has 3 shaded parts and 2 unshaded parts. One-fifth m Two-fifths m Three-fifths m Four-fifths m
Answers
Answer: 1/5m
Step-by-step explanation:
From the question, we are informed that Darren has a wooden board that has a length of 3/5m. We are then told that he cuts the board into 3 equal parts.
The length of each section of the board will then be:
= 3/5 ÷ 3
= 3/5 × 1/3
= 3/15
= 1/5m
Each section of the board will be 1/5meters long
Answer:
1/5
Step-by-step explanation:
where c is a constant. use the tangent line approximation to find the y-coordinate of the point on the curve with x g
Answers
When using the tangent line approximation to find the y-coordinate of the point on the curve with x = g, the formula is y - f(g) = f'(g)(x - g), where f(g) is the y-coordinate of the point on the curve with x = g and f'(g) is the derivative of the function evaluated at x = g. This formula gives the equation of the tangent line to the curve at x = g, and the y-coordinate of the point on the curve with x = g is the y-coordinate of the point where the tangent line intersects the y-axis.
Therefore, to find the y-coordinate of the point on the curve with x = g using the tangent line approximation, we need to evaluate the function and its derivative at x = g, and then use those values to plug into the formula.
For example, if the function is y = x^2 + 3x - 2 and we want to find the y-coordinate of the point on the curve with x = 4 using the tangent line approximation, we would first evaluate the function and its derivative at x = 4:
f(4) = 4^2 + 3(4) - 2 = 22
f'(4) = 2(4) + 3 = 11
Then we can plug these values into the formula:
y - 22 = 11(x - 4)
Simplifying, we get:
y = 11x - 34
So the y-coordinate of the point on the curve with x = 4 using the tangent line approximation is -34.
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Is the point (2,1) a solution to the following system? 3x-2y=6. x+y=2
Answers
Answer:
yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:\(\neq\)
Hi,
I believe this is the explanation to the answer.
First of all, we must understand what is meant by a "solution" to a "system." A solution to a system means whatever solutions you get for x and y should be able to satisfy both of the equations in the system.
In here, we have the point (2,1). To test whether it satisfies the two equations in the system, simply plug in the values!
3(2) - 2(1) = 6 - 2 = 4
As you can see, 4 \(\neq\) 6. Let's look at the other equation.
(2) + (1) = 3
Again, as you can see, 3 \(\neq\) 2.
Hence, this point (2,1) does not satisfy the two equations, so it's definitely not a solution.
Expand "6y" in algebra
Answers
Answer:
6 x y
Step-by-step explanation:
Expanded
Or add y 6 times
y + y + y + y + y + y
Answer:
Step-by-step explanation:
y + y + y + y + y + y
Hope that helps!
find p where f(x) = 2x ^ 3 + 5x ^ 2 + px + 8 where f(- 2) = 10
Answers
Explanation
Given the function
\(f\mleft(x\mright)=2x^3+5x^2+px+8\)We can find the value of p when f(-2 )=10 below;
Therefore, we will have;
\(\begin{gathered} f(-2)=2(-2)^3+5(-2)^2+(-2)p+8=10 \\ -16+20-2p+8=10 \\ -4-2p+8=10 \\ -2p+4=10 \\ -2p=10-4 \\ -2p=6 \\ p=\frac{6}{-2} \\ p=-3 \end{gathered}\)Answer: p = -3
On a number line,5.92 would be located. choose all answers that make a true statement
A. to the left of 5.93
B. between 4 and 5
C. between 4.92 and 4.94
D. to the right of 5.91
Answers
The Steelers beat the Seahawks by 10 points. The total points scored between both teams was 44. How many points did the Seahawks have?
Answers
Answer:
17
steelers had 27
Step-by-step explanation:
PLEASE HELP ME WITH THIS FOR BRAINLIEST
Answers
Answer:
I'm pretty sure its w=128
Step-by-step explanation:
so what i did was the inverse operation which the opposite of ÷4 is ×4 so 4 is already canceled out so then all you have left is 32×4 which is 128. Hope this helps
Explain PLEASE:
The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____.
a. 1/2
b. √3
c. √3/2
d. 2√3
Answers
Answer:
\(\frac{\sqrt{3}}{2}\)
Step-by-step explanation:
The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.
You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.
Kiran mixes \frac{3}{4}
4
3
cups of raisins, 1 cup peanuts, and \frac{1}{2}
2
1
cups of chocolate chips to make trail mix. How much of each ingredient would he need to make 10 cups of trail mix? Explain your reasoning.
Answers
Step-by-step explanation:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = \frac{3}{4}
4
3
cup
Peanuts = 1 cup
Chocolate chips = \frac{1}{2}
2
1
cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = \frac{3}{4}\times 10
4
3
×10 = \frac{30}{4}
4
30
= 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = \frac{1}{2}\times 10
2
1
×10 = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
4 1/4 not sure tho i got it from internet
can someone help please
Answers
Answer:
31
Step-by-step explanation:
31 x 2 = 62
62 + 13 = 75
n = 31
ANSWER QUICK!!
Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.
Answers
Answer:
16
Step-by-step explanation:
separate into 4 triangles. 2x1= 2
triangle area formula= 1/2 l x w
3x4=12 12+4 is 16
brad buys a pack of 12 bottles for £9.25
he sells all the bottles for £1 each
work out brads percentage profit
Answers
Answer:
29.87%
Step-by-step explanation:
£9.75 \ 12 = £0.77
This is what he pays for each bottle
He makes £0.23 on each bottle sold
0.23/0.77 x 100 = 29.87
This is the percentage profit.
You can also validate the answer by calculating 29.87% of £0.77 and then add it to the £0.77 and you will see that you get £1
Someone explain please
Answers
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
2) Find the length of BC.
A) 12
B) 14
C) 26
D) 40
Answers
Answer:
Option C
Step-by-step explanation:
As we can see here, the sum of AB and BC is equivalent to AC. Therefore, we obtained the following equation.
⇒ AB + BC = ACWe are given the following measures:
AB = 2xBC = 3x + 5AC = 40When we plug the values into the equation, we get;
⇒ 2x + 3x + 5 = 40To determine the length of BC, we need to determine the measure of "x". This can be done by simplifying the equation obtained above. Once we determined the value of "x", we can plug the value of "x" into the expression that represents the length of BC (3x + 5) to obtain the length of BC.
⇒ 2x + 3x + 5 = 40⇒ 5x + 5 = 40 (Collect like terms)⇒ 5x + 5 - 5 = 40 - 5 (Subtract 5 both sides)⇒ 5x = 35 (Simplify both sides)⇒ 5x/5 = 35/5 (Divide 5 both sides)⇒ x = 7 (Simplify both sides)As stated above, let's substitute the value of "x" into the expression of BC.
⇒ BC = 3x + 5⇒ BC = 3(7) + 5⇒ BC = 21 + 5 = 26 unitsTherefore, Option C is correct.
BC
3(7)+521+526William wishes to view a frequency table for grouped data using his monthly credit card statements for the last 20 months, shown below. Construct the table for William using six classes. 1312, 1303, 809, 1477, 1263, 1444, 894, 1051, 1485, 1433, 1132, 1221, 1179, 945, 995, 1179, 1172, 1373, 906, 955 Provide your answer below: Lower Class Limit Upper Class Limit Frequency 809 1486
Answers
Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:
Lower class than adults who have little over two-thirds of a nationwide median's average household income.The higher class would include families with substantial wealth and biz incomes or where the primary breadwinner is utilized as a manager or a professional worker.Calculation:
\(lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4\)
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randy read a book in the afternoon. He looked at his watch when he started and finished reading. How long did randy read?
Answers
Answer:
Is this a joke?
Step-by-step explanation:
Please tell me this is.
mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest
Answers
Answer:
uttar pradesh
Step-by-step explanation:
see map
Answer:
S.No. State/ UT Wheat (Th. tonnes)
1 Uttar Pradesh 26,874
2 Madhya Pradesh 17,689
3 Punjab 16,081
4 Haryana 11,352
5 Rajasthan 9,871
6 Bihar 4,753
7 Gujarat 2,484
8 West Bengal 960
9 Uttarakhand 761
10 Maharashtra 758
Step-by-step explanation:
Refer this link for map!
HOPE IT HELPS AND THANK ME BY MARKING AS BRAINLIEST!
A random sample of 300 circuits generated 13 defectives.
(a) Use the data to test H0: p = 0.05 versusH1: p ≠ 0.05. Use α = 0.05. Find the P-valuefor the test.
(b) explaine how the question in part (a) could be answeredwith a confidence interval.
Answers
The interpretation would be: "Based on the given sample data, we are 95% confident that the true proportion of defectives in the circuits lies between the lower bound and the upper bound of the confidence interval."
To test the hypothesis H0: p = 0.05 versus H1: p ≠ 0.05, where p represents the proportion of defectives in the circuits, we can use the binomial distribution and perform a two-tailed test. Here's how you can calculate the P-value and answer part (a):
(a) Calculating the P-value:
Define the null hypothesis (H0): p = 0.05.
Calculate the sample proportion of defectives: P = x/n, where x is the number of defectives (13) and n is the sample size (300). In this case, P = 13/300 = 0.0433.
Calculate the test statistic (z-score) using the formula:
z = (P - p0) / sqrt[(p0 * (1 - p0)) / n]
where p0 is the hypothesized proportion under the null hypothesis. In this case, p0 = 0.05 and n = 300.
z = (0.0433 - 0.05) / sqrt[(0.05 * (1 - 0.05)) / 300] ≈ -0.6147
Determine the P-value by comparing the absolute value of the test statistic to the standard normal distribution (z-distribution) at the desired significance level (α = 0.05).
Since this is a two-tailed test, we need to find the area in both tails.
P-value = 2 * P(Z < -0.6147), where Z is the standard normal random variable.
Using a statistical table or calculator, you can find the P-value to be approximately 0.5397.
Therefore, the P-value for the test is approximately 0.5397.
(b) Using a confidence interval:
Alternatively, you can answer the question using a confidence interval. A confidence interval provides a range of plausible values for the true proportion of defectives.
To construct a confidence interval for the proportion, you can use the following formula:
CI = P ± z * sqrt((P * (1 - P / n),
where CI represents the confidence interval, P is the sample proportion of defectives, z is the critical value corresponding to the desired level of confidence, and n is the sample size.
For example, to construct a 95% confidence interval (α = 0.05), the critical value z is approximately 1.96.
CI = 0.0433 ± 1.96 * sqrt((0.0433 * (1 - 0.0433)) / 300)
By calculating this, you can find the lower and upper bounds of the confidence interval.
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Find the total surface area.
Answers
Answer:
143.4 mi²
Step-by-step explanation:
Top: 8x6=48
Bottom: 3x8=24
Sides: 3x8=24 and 24
Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7
TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²
Select the values that make the inequality − m > 4 true.
Answers
Answer: m < -4
Step-by-step explanation:
When working with inequalities, on your path to isolate the variable, if you ever divide by a negative, you have to flip the sign. Thus, because you must divide m and 4 by -1, change the greater than sign into a less than sign.
Hope it helps :) and let me know if you want me to elaborate.
Two numbers multiply to be 20 and add to be 12. What are the numbers?
Answers
Answer:2 and 10
Step-by-step explanation:
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
1/3+1/2=1/t
How long will it take Ted and Jacob to clear the field together?
Answers
Ted can clear a football field in 3 hours, while Jacob can clear it in 2 hours. When they work together, the time it takes to clear the field can be determined by solving the equation 1/3 + 1/2 = 1/t.
Let's consider the equation 1/3 + 1/2 = 1/t, where t represents the number of hours it would take Ted and Jacob to clear the field together. To solve for t, we need to find a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 3 and 2 is 6.
By multiplying the first fraction by 2/2 and the second fraction by 3/3, we can rewrite the equation as (2/6) + (3/6) = 1/t. This simplifies to 5/6 = 1/t.
To isolate t, we can take the reciprocal of both sides, giving us t/1 = 6/5. Cross-multiplying, we find t = 6/5 = 1.2.
Therefore, it will take Ted and Jacob 1.2 hours (or 1 hour and 12 minutes) to clear the football field together.
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what is 2+2, 1+1, and 4+4?
Answers
Answer:
4, 2, 8
Step-by-step explanation:
Do all these angles equal 360 degrees?
Answers
Answer:
The sum of the interior angles of any quadrilateral is 360 °Step-by-step explanation:
Do all these angles equal 360 degrees?
The sum of the interior angles of any quadrilateral is 360 °
Find the exact value of tan A in simplest radical form.
Answers
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
Answer:
tan A = 60/11
does anyone know what 3/4 of 620 is???
Answers
Answer:
465
Step-by-step explanation:
Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?
Answers
Answer:
x=7
Explanation:
If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:
CM=MD
5x-12=2x+9
5x-2x=9+12
3x=21
x=21/3
x=7
The value of x is 7.
A cell phone company sells about 500 phones each week when it charges $75 per phone. It sells about 20 more phones per week for each$1 decrease in price. The company's revenue is the product of the number of phones sold and the price of each phone. What price should the company charge to maximize its revenue?
Answers
The company can maximize its revenue by charging the price of $73 per phone.
Changing the price and monitoring how many phones are sold in reaction to the price change allows for trial-and-error in determining accuracy.
With 520 phones sold each week at $73, the corporation will make a total of $38,160 in revenue. There are 20 more phones than when it was charging $75, thus the business will make an additional $1,500 every week.
Due to the increased number of phones sold, the corporation may increase revenue by merely $2 by lowering the price, leading to an increase in both total revenue and profit.
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draw a curve through these points that illustrates the relationship between balloon rides and price when the temperature is constant at 50 degrees.
Answers
The curve for the relationship between balloon rides and price when the temperature is constant at 50 degrees is illustrated below.
The term constant in math is defined as a value or number that never changes in expression it's constantly the same.
When the temperature is constant, it means that one of the variables that can affect the demand for balloon rides is eliminated. This allows us to focus on the relationship between balloon rides and price. The relationship between these two variables can be represented by a curve. The curve can show us how the price of a balloon ride changes as the number of rides changes.
Then table for the relationship between balloon rides and price when the temperature is constant at 50 degrees is attached below.
when the temperature is constant, the relationship between balloon rides and price can be shown by a curve. The shape of the curve will depend on the relationship between the two variables, which can be upward-sloping, downward-sloping, or remain constant. The constant temperature allows us to focus on the relationship between balloon rides and price without the interference of other factors that can affect the demand for rides.
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