Answer:
34.63 - 25.32 = 9.31 +180 = 189.31
189.31 - 43.52 - 68.50 - 7 = 70.29
Snoopy has $70.29 left in his checking account
Step-by-step explanation:
ILL GIVE BRAINLY TO WHOEVER HELPS ASAP
Answer:
a=-2,4
b=1,1
c=4,3
Step-by-step explanation:
b
6k - 12 = -24
Solve this
Answer:
-2
Step-by-step explanation:
6k=-24+12
or,6k=-12
or,k=-12/6
or,k=-2
Answer:
The value of k is -2.
Step-by-step explanation:
First, you have to add 12 to both side :
\(6k - 12 = - 24\)
\(6k - 12 + 12 = - 24 + 12\)
\(6k = - 12\)
Next, you have to divide by 6 :
\( \frac{6k}{6} = \frac{ - 12}{6} \)
\(k = - 2\)
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
Given m/PSR = 134, find m/SQR.
The measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ = Angle SQP = 60 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
m/PSR = 134,
PQ = QS = PS
Angle QPS = Angle PSQ = Angle SQP = 60 degrees
Angle QSR = QRS
Angle SQR = 180 - (180 - 134)x2
= 180 - 112
= 68 degrees
Thus, the measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ = Angle SQP = 60 degrees.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ1
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 2
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Burger Quick, because it has a larger median.
How to explain the informationBurger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.
Therefore, the correct answer is: Burger Quick, because it has a larger median.
Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.
Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.
The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.
Learn more about median on
https://brainly.com/question/26177250
#SPJ1
using complete sentences, compare the range values of the data sets. what does this comparison tell you in terms of the situation the data represent?
The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison. Option D is correct.
In comparing the test scores of two groups, it is important to choose appropriate measures of center and variation to accurately represent the data. If both distributions are nearly symmetric, the mean and standard deviation are commonly used.
However, if the distributions are skewed, it is better to use the median and standard deviation as measures. In this particular case, the scores of Group B are skewed right, which means that the mean may not be a reliable measure of center. Instead, the median should be used. The range is not a good measure of variation for skewed data because it is sensitive to extreme values, so the standard deviation is more appropriate. Hence, option D is answer.
To know more about distributions, here
brainly.com/question/13955188
#SPJ4
--The complete question is, The table shows the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B).
Which would be the best measures of center and variation to use to compare the data?
The scores of Group B are skewed right, so the mean and range are the best measures for comparison.
Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.
Both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison.
The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.--
2. How much will a $210 bicycle on sale for 15% off cost?
$195.50
$31.50
$178.50
O $241.50
Answer:
The answer would be $178.50
Step-by-step explanation:
please help, no need to show work, tysmmmm!!
Answer:
translation
Step-by-step explanation:
what is -2 to the 8th power
Answer:
-256
Step-by-step explanation:
Put a negative next to 2^8 and you'll get your answer.
5(2x - 12) + 21 = 2x + 41
05
08
O 10
072
Answer:
x = 10
Step-by-step explanation:
5(2x - 12) + 21 = 2x + 41 ← distribute parenthesis and simplify left side
10x - 60 + 21 = 2x + 41
10x - 39 = 2x + 41 ( subtract 2x from both sides )
8x - 39 = 41 ( add 39 to both sides )
8x = 80 ( divide both sides by 8 )
x = 10
A sawmill cuts boards that are 16 ft long.After they are cut, the boards are inspected and rejected if the length has a percent error of 1.5% or more.
1) List some board lengths that should be accepted.
2) List some board lengths that should be rejected.
The sawmill also cuts boards that are 10,12 and 14 feet long.An inspecter rejects a board that was 2.3 in too long. What was the intended length of the board?
Some acceptable board lengths are: 15.8 ft, 16.20 ft and 16.10 feet
Some board lengths to reject are: 14.8 ft, 17.20 ft and 12.10 feetThe intended lengths are 10.19, 12.19 and 14.19 feetBoard lengths that should be acceptedFrom the question, we have the following parameters that can be used in our computation:
Length = 16 ft
Percent error = 1.5%
This means that the acceptable lengths are
Acceptable = Length ± Percent error * Length
Substitute the known values in the above equation, so, we have the following representation
Acceptable = 16 ± 1.5% * 16
So, we have
Acceptable = 16 ± 0.24
Evaluate
Acceptable = 15.76 to 16.24
Some board lengths that should be accepted are 15.8 ft, 16.20 ft and 16.10 feet
Board lengths that should be rejectedIn (a), we have
Acceptable = 15.76 to 16.24
Some board lengths that should be rejected are 14.8 ft, 17.20 ft and 12.10 feet
The intended lengths of the boardsHere, we have
Lengths = 10, 12 and 14 feet
Length too long = 2.3 inches
Convert to inches
Length too long = 0.19
So, we have
Intended lengths = (10, 12 and 14 feet) + 0.19
Evaluate
Intended lengths = 10.19, 12.19 and 14.19 feet
Read more about percent error at
https://brainly.com/question/13851099
#SPJ1
The first 5 terms of a sequence are 2 8 14 20 26 Find the nth term
Answer: \(\Large\boxed{a_n=6n-4}\)
Step-by-step explanation:
Given sequence
2, 8, 14, 20, 26
Determine the pattern
2 + 6 = 8
8 + 6 = 14
14 + 6 =20
20 + 6 = 26
For each term, add 6 to get the next term
Determine the type of sequence
Since it continuously adds 6, the common difference is 6, which means it is an arithmetic sequence
Given the arithmetic sequence formula
aₙ = a₁ + d (n - 1)
a₁ = 1st term of a sequenceaₙ = nth term of a sequencen = nth positiond = Common differenceSubstitute values into the formula
aₙ = (2) + (6) (n - 1)
aₙ = 2 + 6 (n - 1)
aₙ = 2 + 6n - 6
aₙ = 2 - 6 + 6n
\(\Large\boxed{a_n=6n-4}\)
Hope this helps!! :)
Please let me know if you have any questions
Given sequence :-
2 , 8 , 14 , 20 , 26...Solution :-
We need to calculate the nth term of the given sequence.
Common difference (d) = 8 - 2 => 6First term of sequence (a) = 2We know that,
tn = a + (n - 1) dApplying the values here.
>> tn = 2 + (n - 1) 6
>> tn = 2 + (n - 1) × 6
>> tn = 2 + 6n - 6
>> tn = 6n - 4
Therefore, nth term of the sequence is (6n - 4).
During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the car for 7 days at a rate of $54 per day. There was an additional charge of $0.35 per mile after the first 100 miles driven.
a. Write an algebraic expression to represent the amount Devon paid for additional mileage only.
b. How much did Devon pay for additional mileage if he paid a total of $421 for the car rental?
Answer:
a. Letting m represent the number of additional miles driven, we have .35m.
b. Devon paid $43 for additional mileage.
Step-by-step explanation:
For part b: $421 - ($54 × 7)
= $421 - $378 = $43
The algebraic expression to represent the amount Devon paid for additional mileage only is 0.35m and Devon pays for additional mileage if he paid a total of $421 for the rental car is $43.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the car for 7 days at a rate of $54 per day.
For part (a):
Write an algebraic expression to represent the amount Devon paid for additional mileage only.
The amount Devon paid for additional mileage only = 0.35m
For part (b):
Devon pays for additional mileage if he paid a total of $421 for the car rental is:
= $421 - ($54 × 7)
= $43
Thus, the algebraic expression to represent the amount Devon paid for additional mileage only is 0.35m and Devon pays for additional mileage if he paid a total of $421 for the rental car is $43.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not putting it back, and then choosing a green marble?
Answer: 4/35
Step-by-step explanation:
Number of red marbles = 4
Number of blue marbles = 5
Number of green marbles = 6
Total number of marbles = 4+5+6 = 15
When a red marble is picked, the probability is 4/15, then to pick a green marble after that, we have 14 marbles left and probability of picking green is 6/14.
Now, probability of choosing a red marble from the bag, not putting it back, and then choosing a green marble will be:
= 4/15 × 6/14
= 24/210
= 4/35
x=(y)/(y-3) make y the subject
Answer:
\(\displaystyle y=\frac{3x}{x-1}\)
Step-by-step explanation:
Solving Equations
We have the expression:
\(\displaystyle x=\frac{y}{y-3}\)
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
\(\displaystyle (y-3)x=(y-3)\frac{y}{y-3}\)
Simplifying the right side:
\(\displaystyle (y-3)x=y\)
Remove the parentheses:
\(yx-3x=y\)
Move the y's to the left side and the rest of the expression to the right side:
\(yx-y=3x\)
Factor out y:
\(y(x-1)=3x\)
Divide by x-1:
\(\mathbf{\displaystyle y=\frac{3x}{x-1}}\)
Date
1. Melissa gives vitamins to her adult dogs. The recommended dosage is 2 teaspoons per
day for an adult dog weighing 20 pounds She needs to give vitamins to Buster who
weighs 90 pounds. How many teaspoons of vitamins are needed for Buster?
Answer:
Melissa needs to give buster 4 and a half vitamins
Step-by-step explanation:
if 2 table spoons is recommended for 20 pounds and buster weighs 90 pounds, to find how much to give buster you need to divide busters weight with the recommended weight to find out how many tablespoons to give him.
90 ÷20= 4.5
buster needs 4.5 tablespoons of vitamins for his weight.
A lean-to is a shelter where the roof slants down to the ground. The length of the roof of one lean-to is 17 feet. The width of the lean-to is 15 feet. How high is the lean-to on its vertical side?
The height of the lean-to on its vertical side is 8 feet.
What is the height of a lean-to on its vertical side?
To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.
So, we have:
\(height^2 = hypotenuse^2 - width^2\)
We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:
\(height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8\)
Therefore, the height of the lean-to on its vertical side is 8 feet.
Learn more about Height
brainly.com/question/30106412
#SPJ11
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
help please thank you!!
Please show clear solutions to these additional questions involving gas laws. A complete solution shows
all steps, including necessary unit conversions. Final answers must be rounded to correct significant
figures.
1. If placing a balloon of gas into a freezer at –80.0 °C causes its volume to change to 76.4 % its
initial volume, then what was the balloon’s initial temperature in °C?
2. Suppose instead of volume, we built a thermometer that measures temperature by pressure
changes. A sample of gas is placed into a rigid glass vial along with a pressure sensor. At room
temperature (25.0 °C), the pressure of the gas is 1.01 atm. The gas thermometer is then placed
into a bath of hot oil. The pressure of the apparatus changes to 1.38 atm. What is the temperature
of the oil in °C?
1. The balloon's initial temperature was ____ °C.
2. The temperature of the oil is ____ °C.
1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.
2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.
Learn more about Initial temperature
brainly.com/question/2264209
#SPJ11
A. –5
B. –3
C. negative one-third
D. 3
The slope of the line represented by the table of values is: D: 3
How to find the slope between two coordinates?The formula for the equation of a line in slope intercept form is given by the expression:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line between two coordinates is expressed as:
m = (y₂ - y₁)/(x₂ - x₁)
Using the first two coordinate points, we have the slope as:
m = (-1 - (-4))/(0 - (-1))
m = 3/1
m = 3
Read more about slope at: https://brainly.com/question/3493733
#SPJ1
determine whether the geometric series is convergent or divergent. 10 − 2 + 0.4 − 0.08 +
Answer:
This geometric series is convergent:
\( \frac{10}{1 - ( - \frac{1}{5}) } = \frac{10}{ \frac{6}{5} } = 10( \frac{5}{6} ) = \frac{25}{3} = 8 \frac{1}{3} \)
The geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.
To determine if the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent or divergent, we need to examine the common ratio (r) between consecutive terms.
The common ratio (r) can be found by dividing any term by its preceding term.
Let's calculate it:
r = (-2) ÷ 10 = -0.2
r = 0.4 ÷ (-2) = -0.2
r = (-0.08) ÷ 0.4 = -0.2
In this series, the common ratio (r) is -0.2.
For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. If |r| ≥ 1, the series is divergent.
In this case, |r| = |-0.2| = 0.2 < 1.
Since the absolute value of the common ratio is less than 1, the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.
To know more about Geometric Series:
https://brainly.com/question/11873791
Choose the number that can be labelled as a natural number.
99, 2, 10, 0.33, -2, 56, 17, -22
Answer:
99, 2, 10, 56, 17
Step-by-step explanation:
hope it helps you ❤️❤️
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. Write and solve a linear equation to find the monthly rent for a 1500 square foot office.
Equation:_________ Solution:_________
The equation is y = 0.50x + 575. Then the monthly rent for a 1500 square foot office is $1,350.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
The month-to-month lease for an 800-square-foot office is $975. For a 1100-square-foot office, the lease is $1125.
Let 'y' be the rent and 'x' be the area of the office. Then the linear equation is given as,
(y - 975) = [(1125 - 975) / (1100 - 800)](x - 800)
y - 975 = 0.50(x - 800)
y = 0.50x + 575
The monthly rent for a 1500 square foot office is calculated as,
y = 0.50x + 575
y = 0.50 (1500) + 575
y = $1350
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ1
FIRST 2 PEOPLE TO ANSWER THIS GETS POINTS AND BRAINLIEST FOR THE BEST ANSWER!
Answer: 15 and 165
1. The sum of the angles here is 180 degrees and we have 2 values for both the angles, 2x-15 and 11x
2. We make an equation to find the value of x, 2x-15+11x=180
3. After solving we get 195=13x and when divided we get x=15
4. Plug 15 into both angle mesurements and we get <AOB is 15 and <BOC is 165
solve the equation 4x+2y-8=0
Answer:
X=0
Y=4
Step-by-step explanation:
4X+2y-8=0
2y=4x+8
y=2x+4
Substituting y in the equation
4x+2(2x+4)-8=0
4x+4x+8-8=0
8x=0
X=0
Substituting in equation y=2x+4
y=2(0)+4
Y=4
luke measured a swimming pool and made a scale drawing. the scale he used was 7 centimeters : 3 meters. the pool is 105 centimeters long in the drawing. how long is the actual pool?
The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
Let the actual length of the pool be x m.
According to the given question.
Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.
⇒ The scale is 7cm : 3m.
Also, the length of the pool in the drawing is 105cm.
Therefore, the actual length of the swimming pool is given by
7cm : 3m = 105cm : x (by proportion fromula)
⇒ 7x = 105
⇒ x = 15m
Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
Find out more information about scale here:
https://brainly.com/question/17403281
#SPJ4
Match these items. 1. insects, birds epidermis 2. moss, trees monerans 3. yeast, molds reproductive parts 4. protozoa, red algae kingdoms 5. bacteria, blue-green algae plants 6. five main groups of all living things vegetative parts 7. the study of plants fungi 8. flowers, fruits, and seeds protists 9. roots, stems, and leaves botany 10. provides plant cover on leaves and roots animals
Answer:
1. Animals.
2. Plants.
3. Fungi
4. Protists.
5. Monerans.
6. Kingdom.
7. Botany.
8. Reproductive parts.
9. Vegetative parts.
10. Epidermis.
Step-by-step explanation:
1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.
2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.
3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).
4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.
5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.
6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista
7. The study of plants: Botany.
8. Flowers, fruits, and seeds: Reproductive parts.
9. Roots, stems, and leaves: Vegetative parts.
10. Provides plant cover on leaves and roots: Epidermis.
how to graph the derivative of a function given the graph of the function
The graph of the derivative of a function provides information about the rate of change and the slope of the original function at different points.
To graph the derivative of a function given the graph of the function, you can follow these steps:
Start with the graph of the original function. Make sure you have a clear understanding of its shape and behavior.
Identify critical points on the graph of the function, which are the points where the function has maximum or minimum values or where its slope changes abruptly.
Use the information from the critical points to determine the intervals where the derivative is positive or negative. In the intervals where the function is increasing, the derivative will be positive, and in the intervals where the function is decreasing, the derivative will be negative.
Find any vertical asymptotes or discontinuities in the original function. These points will also affect the behavior of the derivative.
Plot the derivative on a separate graph, using the information from steps 3 and 4. On the derivative graph, mark positive values above the x-axis and negative values below the x-axis.
Indicate the critical points and any vertical asymptotes or discontinuities on the derivative graph.
Connect the points on the derivative graph smoothly, considering the behavior of the original function and the values of the derivative at different points.
By following these steps, you can create a graph of the derivative that provides information about the rate of change and the slope of the original function at different points. The derivative graph helps in understanding the increasing and decreasing behavior of the function and provides insights into its concavity and local extrema.
Learn more about derivative of a function here:
https://brainly.com/question/28104078
#SPJ11
Which shows one way the equation can be represented in words? StartFraction 5 over 8 EndFraction z (negative 2. 5) = 2. 5 Five-eighths of a number is equal to two and five-tenths. Five-eighths of a number is equal to negative two and five-tenths. Five-eighths of a number times negative two and five-tenths is two and five-tenths. Five-eighths of a number plus negative two and five-tenths is two and five-tenths.
Answer:
D
Step-by-step explanation:
The last option.