Answers
Therefore let us input the values to find the volume of the cone
[tex]\begin{gathered} \text{volume}=\frac{1}{3}\pi r^2h \\ r=\frac{8}{2}=4\text{ ft} \\ h=9ft \\ \text{volume}=\frac{1}{3}\pi r^2h \\ \text{volume}=\frac{1}{3}\times3.14\times4^2\times^{}9 \\ \text{volume}=\frac{1}{3}\times3.14\times16\times9 \\ \text{volume}=\frac{452.16}{3} \\ \text{volume}=\text{ }150.72ft^2 \end{gathered}[/tex]The answer should be A.
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suppose that 30% of the 10,000 signatures on a certain recall petition are invalid. would the number of invalid signatures in a sample of 3000 of these signatures have (approximately) a binomial distribution? explain. g
Answers
Approximately, all of the signatures in the sample of 3000 signatures are invalid . We get this outcome by using binomial distribution .
This problem it is said that 30% of 10000 signatures on certain recall petition are invalid . So, here is the two outcomes possible one is the signatures are invalid and other signature are valid .
Probability of Success (signature are valid ) = p = favourable outcomes / total outcomes
Favourable outcomes for Success = 70% of 10,000= 7000
Total number of possible outcomes = 10,000
P = 7000/10,000 = 7/10
Probability of failure (signature are invalid ) = q= 1- p = 1- 7/10 = 3/10
We have to find out probability of getting invalid signature from a sample of 3000 signatures..
Using the binomial distribution,
P(X = x ) = ⁿ C ₓ pˣ (1- p)⁽ⁿ⁻ˣ⁾
n = 3000 , x= 0 for none of signatures from 3000 are invalid.
P(X=0) = ³⁰⁰⁰C ₀ (3/10)⁰ ( 7/10) ³⁰⁰⁰
= 1 . 1 . (7/10)³⁰⁰⁰ = (7/10)³⁰⁰⁰ = 0
Probability of getting invalid signature out of sample 3000 is
1 – ( 7/1000)³⁰⁰⁰ = 1
This implies that all the signatures in sample of 3000 are invalid.
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Question 1 - Write an equation in Standard Form of a line that passes through (-3,-7) and has a slope of 4.
Question 2 - Write an equation in Standard Form of a line that passes through (10,-2) and has a slope of -1/2
Question 3 - Write an equation in Point Slope Form of a line that passes through (-1,8) and has a slope of -3/4
Question 4 - Write an equation in Slope Intercept Form that passes through (-3,11) and (6,-7).
Answers
The equation is, 4x - y = -5
The equation is, x + 2y = 6
The equation is, [tex][tex]y = -\frac{3}{4}x + \frac{29}{4}[/tex][/tex]
The equation is, y = -2x + 5
What is standard form of equation of line?
When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,[tex][tex]y - y_{1} = m(x - x_1)[/tex][/tex] ...(1)
1. Given:[tex][tex]x_1 = -3, y_1 = -7, m = 4[/tex][/tex]
Plug these values in the above equation,
[tex][tex]y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5[/tex][/tex]
This is the equation in standard form of line.
2. Given:
[tex][tex]x_1 = 10, y_1 = -2, m = -\frac{1}{2}[/tex][/tex]
Plug these values in the equation (1),
[tex][tex]y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\[/tex][/tex]
Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6
This is the equation in standard form of line.
3. Given:
[tex][tex]x_1 = -1, y_1 = 8, m = -\frac{3}{4}[/tex][/tex]
Plug these values in the equation (1),[tex][tex]y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}[/tex][tex]y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\[/tex][/tex]
This is the equation in point slope form.
4. Given:[tex][tex](x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)[/tex][/tex]
First to find the slope from the given two points.
[tex][tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2[/tex][/tex]
Now plug m = -2 and one of the given point in the equation (1), we ge[tex]t[tex]y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5[/tex][/tex]
This is the equation in slope intercept form.
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In anatomy, a student learned that the average resting heart rate is between 60 and 100 beats per minute. The student decided to record the heart rate of people over five minutes while waiting in line at the pharmacy. The dot plot shows the results.
Answers
The correct option regarding the symmetry of the distribution is given as follows:
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
How to find the symmetry of the distribution?To find the symmetry of the distribution, the mean and the median need to be calculated and compared, if they are equal or which is greater.
A dot plot shows the number of times that each observation appears in the data-set, hence the complete data-set of heart beats per minute is given as follows:
62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.
The mean is the sum of all these observations divided by the number of observations, which is of 20, hence:
Mean = (62 + 3 x 68 + 69 + 2 x 70 + 3 x 72 + 2 x 75 + 76 + 2 x 78 + 3 x 80 + 2 x 89)/20 = 74.55.
The median is the middle value of the data-set, the value which 50% of the observations are less than and 50% are greater than. The cardinality of 20 in this data-set is an even number, hence the median is the mean of the 10th and of the 11th element, as follows:
Median = (72 + 75)/2 = 73.55.
When the mean is greater than the median, as is the case in this problem, the distribution is right skewed, which is the reason for the correct option.
Missing InformationThe problem is given by the image at the end of the answer.
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Kinsley opened a savings account and deposited 600.00 the account earns 5%interest compounded quarterly if she wants to use the money to buy a new bicycle in 3 years how much will she be able to spend on the bike
Answers
P : Principal amount deposited : $600
r : interest rate : 5 % = 0.05 ( decimal form)
n : number of compounding periods in a year : 4 (4 times in a year)
t : years
Apply compound interest formula:
A= P (1+r/n)^nt
Replace by the values given:
A = 600 (1+0.05/4)^(4.3)
A = 600 ( 1.0125) ^12
A =$ 696.45
look at photo and solve quick pls
Answers
Answer:what photo
Step-by-step explanation:
where
this exercise refers to choosing two cards from a thoroughly shuffled deck. assume that the deck is shuffled after a card is returned to the deck. if you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a 10 and the second card is a jack?
Answers
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Solve the problem?
Given that a card is selected from a 52-card deck that has been thoroughly shuffled without being replaced, the following card is drawn.
A: The top card is a 4, and B: The next card is an ace.
Probability =A∩B
After this first card is pulled, if 10is drawn, we have 51 cards left with 4 aces in them. This is the probability we need to discover for
P(A). = 10/52
P(B) = number of aces in 51 cards divided by 51, thus = 4/51
Hence A∩B =10/52×10/51
= 100/2652
(From this, we can see that, after changing the card count, A and B are independent.
Additionally, we multiply the probability for both.)
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Using the distributive property, rewrite this equation and put the correct numbers in place of the blanks.
8 • 52 = (
•
) + (
•
Answers
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
Given,
The equation: 8 ( 5 + 2) = (__×___) + (___×__)
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Here,
8 (5 + 2)
Using distributive property open the brackets:
8 (5 + 2) = (8 × 5) + (8 × 2)
Now,
8 (5 + 2) = 40 + 16
That is,
8 (5 + 2) = 56
So,
The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)
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What is the result when the number 88 is decreased by 69%? Round your answer to the nearest tenth.
Answers
Your bus is traveling 60 km/hr on a class trip to a museum that is 90
kilometers from your school. How long will it take to get there?
OA. 1.5 hours
O
B. 2.0 hours
O
O
C. 0.5 hour
D. 1.0 hour
Answers
Answer:
nothing but B2. 0 hours
The bus will take 1.5 hours to cover 90 kilometers at an average speed of 60 km/hr.
Speed can be thought of as the rate at which an object covers distance.
i.e.
Speed = distance traveled/time taken
After arranging the equation we get,
Time taken = Distance traveled/Average speed
Here distance traveled by bus = 90 km
The average speed of the bus = 60 km/hr
So total time taken = 90/60 = 1.5 hours
So the bus will take 1.5 hours to cover 90 kilometers at an average speed of 60 km/hr.
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a survey of over 7{,}0007,0007, comma, 000 randomly selected employees in 151515 nations recently showed that employees who work in a digital workplace tended to be happier than those who don't work in a digital workplace. can we conclude that working in a digital workplace caused employees to be happier? why?
Answers
We cannot conclude that working in a digital workplace caused employees to be happier from the survey.
How is the conclusion from the survey explained?
A survey is a technique for acquiring data which could be considered as an information and not be considered as a conclusion.Surveys are statistical tools which are insufficient to generalize the entire population.A formal questionnaire is developed, and the questions are then asked in a specific order, according to the structured method of data gathering used in surveys , which doesn't include any scientific research or proof.Experimental research is not conducted in surveys which include only descriptive research.Scientific evidences from experiments are required to conclude that working in a digital workplace caused employees to be happier.To learn more about surveys, refer:
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Ms. Fern is stocking up on school supplies
for the start of the school year. She finds a
four pack of colored pencils on sale for
$4.50 proportional or non proportional?
Answers
Answer:
proportional!!!!!!
Step-by-step explanation:
(1 point) the shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 8 years and a standard deviation of 0.3 years. what value of shelf life do 16% of the battery shelf lives fall below? round your answer to one decimal place.
Answers
8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.
Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as
z = (x - µ) ÷ σ
Where
x = shelf life of a battery in years.
µ = mean shell life
σ = standard deviation
Based on the facts provided,
µ = 8 years
σ = 0.3 years
The z score corresponds to a p-value of 16% in the normal distribution table,
(16 ÷ 100 = 0.16) is - 0.9.
Therefore,
- 0.9 = (x - 9) ÷ 0.3
0.3 × (- 0.9) = x - 8
0.27 = x - 8
x = 0.27 + 8
x = 8.27
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Use the graph below to enter a single translation rule. Complete the rule that describes the translation, 819 (x,y) - (Type an ordered pair.)
Answers
Answer:
The translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]Explanation:
Given the graph attached;
Let us pick a corresponding edge(point) on the preimage and image respectively;
[tex]\begin{gathered} \text{Preimage}=(0,1) \\ \text{image}=(2,6) \end{gathered}[/tex]The change on the x and y axis is;
[tex]\begin{gathered} \text{ x axis}=2-0=+2 \\ \text{ y axis=6-1 =+5} \end{gathered}[/tex]Therefore, the translation rule is;
[tex](x,y)\rightarrow(x+2,y+5)[/tex]The snail travels 10 cm in 4 min. How far does a snail travel in 6 min?
Answers
Given.
The distance covered by the snail in 4 minutes is 10 cm.
The speed of snail is,
[tex]\begin{gathered} Spe\text{ed=}\frac{dis\tan ce}{time} \\ =\frac{10}{4}\frac{cm}{\min } \\ =2.5\text{ cm/min} \end{gathered}[/tex]The distance covered by snail in 6 minute is,
[tex]\begin{gathered} \text{Distance}=\text{speed }\times time \\ =2.5\times6 \\ =15\text{ cm} \end{gathered}[/tex]Hence, the distance covered by the snail is 15 cm.
Speed :
Speed is defined as the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling.
Hence , speed can be calculated by using the formula,
Speed = [tex]\frac{Distance-travelled}{Time-taken}[/tex]
Given data :
Distance travelled by the snail = 10 cm = 0.1 m
Time taken by the snail to travel a distance of 10 cm = 4 min = 240 s
Then , speed of the snail = [tex]\frac{10}{4}[/tex] = 2.5 cm/min = 0.0004 m/s
If the time taken by the snail is 6 min = 360 s
Then, the distance travelled by the snail in 6 min
= speed x time taken
= 2.5 cm/min x 6 min
= 15 cm = 0.15 m.
Therefore, the snail travels a distance of 15 cm in 6 min.
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suppose that 3 j of work is needed to stretch a spring from its natural length of 34 cm to a length of 40 cm. (a) how much work is needed to stretch the spring from 36 cm to 38 cm? (round your answer to two decimal places.)
Answers
Work done in stretching spring from 36 cm to 38 cm is 0.333J.
The work needed to stretch a spring is given by the formula mentioned below:
[tex]W_{s}[/tex] = (1/2) K × [tex]x^{2}[/tex]
Here, k is spring constant and x is the elongation.
So, x = [tex]x_{f} - x_{i}[/tex]
When spring is stretched from 40 cm to 34 cm
x = 40 - 34 = 6cm = 0.06 m
We need to know the spring constant so that we can calculate work.
3 = (1/2) K × [tex](0.06)^{2}[/tex]
K = 1666.67
Now, when spring is stretched from 36 cm to 38 cm
x = 38 - 36 = 2 cm = 0.02 m
[tex]W_{s}[/tex] = (1/2) × (1666.67) × [tex](0.02)^{2}[/tex]
[tex]W_{s}[/tex] = 0.333J
So, 0.333J work is done in stretching spring from 36 cm to 38 cm.
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what is the value of x
Answers
Answer:
the value of x is 17
Step-by-step explanation:
7x-32+5x-27=9x-8{sum of 2 interior angles of a triangle is equal to the sum of exterior angle}
therefore x=17
Answer:
x = 17°
Step-by-step explanation:
Hello!
Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.
The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)
Solve for x (7x - 32) + (5x - 27) = (9x - 8)7x - 32 + 5x - 27 = 9x - 812x - 59 = 9x - 812x - 51 = 9x12x = 9x + 513x = 51x = 17The value of x is 17°.
Hi can you please help on the q
Answers
Answer: 55
Step-by-step explanation: 180-78 to get the complementary angle. 180-157 to get complementary angle. 180-102+23 to get the last angle inside the triangle. 180-125 and get 55
during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
Answers
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex] , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex].
[tex]^{18}C_{4}=\frac{18!}{4!(18-4)!}[/tex]
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
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Hattie drew a box plot of annual rainfall in some cities in the world. Select all the statements that are true about the data in the box plot.
Answers
Rainfall anually table data
Then
Option A)
Half of the data are between 6 and 18
TRUE , because there are 8/2 = 4 data in the box plot
Option B)
Data point 27 ,could be an outlier
FALSE, because 27 is a black point. It means it belongs, is not out
Option C)
More points between 6,9 that between 9,18
FALSe,. Area between 6,9. Is smaller than area between 9,18
Option D)
Data are less spread out to the left
TRUE, because box plot is ubicated at left
Option E)
Only one data point is less than 6
TRUE, is data point 3
Write a linear function in witch f(3)=-4 and f(1)=2
Answers
The linear function is y = -3x -5 with f(3)=-4 and f(1)=2.
Define linear function.The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. Any function with the formula f(x) = mx + b—where m and b are constants—is said to be linear. Because the graphs of these functions are lines in the plane, we refer to them as linear.
Given Data
f(3) = -4
f(1) = 2
The ordered pairs are (3,-4) and (1,2)
The equation of the line :
y - y₁ = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex](x - x₁)
y + 4 = [tex]\frac{2+4}{1-3}[/tex] (x-3)
y + 4 = -3(x -3)
y + 4 = -3x + 9
3x + y = -5
y = -3x -5
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RS =9y + 2, ST = 2y + 3, and RT = 60
Answers
Answer:
y=5
Step-by-step explanation:
RS + ST = RT
9y+2 + 2y+3 = 60
11y + 5 = 60
11y = 55
Y = 5
Please HELPPP!!!
Givin the figure below,find the values of x and z
Answers
Answer:
First, find x.
(12x + 20) + (6x + 70) = 180 (sum of angles on straight line = 180°)
18x + 90 = 180
18x = 90
x = 5
Next, find z.
z = 12x + 20 (vertically opposite angles)
Substitute x = 5 into equation.
z = 12(5) + 20
= 80
answer these quick please!
Answers
Answer: The daily cost of production in a factory is calculated using
c(x) = 200 +16 x, where x is the number of complete products manufactured.
Complete products manufactured will can not be a decimal or fraction number.
The domain of function c(x) will be the set of values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.
Option D) whole numbers is the right answer.
(4) f(1) = 3, f(n+1)=3f(n) - 2
Step-by-step explanation: I hope this helps.
Answer:
See attached worksheet
Step-by-step explanation:
a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in fewer than successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
Answers
One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials.
How to find the number of success in a binomial distribution?The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.
One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the results of one trial do not influence those of the others.
An experiment with a fixed number of independent trials and just two results is referred to as a binomial experiment.
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Point Mis a point of tangency.What is the value of x?446567111°230 x°88M
Answers
Answer:
The value of x is 65 degrees.
Explanation:
To solve for x, we use the formula for an angle formed by a tangent and a secant.
[tex]23=\frac{1}{2}(111-x)[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 23\times2=111-x \\ 46=111-x \\ x=111-46 \\ x=65\degree \end{gathered}[/tex]The value of x is 65 degrees.
there will be 5 songs and 3 dances in a performance how many distinguished way to arrange the shows if all dances cannot be next to each other? and how many ways to arrange the shows if all dances must be next to each other?
Answers
In a performance there will be 5 songs and 3 dances
Total objects 5+3 = 8
Number of ways of arranging this objects is 8! = 40,320...........(1)
If all the dances must be next to each other than all dances should take as an object as 3!
Number of ways of arranging performing taking dance to each other
is = (5+1)! 3!
= 6! 3!
= 4320 ....................(2)
Number of ways to arrange the shows if all dances can not be next to each other = (1) - (2)
= 40320-4320
= 3600 ways
Number of ways to arrange the shows if all the dances must be next to each other is 4320 ways.
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imagine that a long stretch of single-strand dna has 30% adenine, 25% thiamine, 15th% cytosine, and 30% guanine. what is the probability of randomly drawing 10 adenine in a row in a sample of 10 randomly chosen nucleotides? explaination
Answers
In a sample of 10 nucleotides, the likelihood of drawing 10 consecutive adenines at random is 0.000006.
Probability: The probability of an occurrence is defined as the ratio between the number of favorable outcomes to a certain event and the entire number of potential outcomes.
The following calculation shows the likelihood of picking 10 consecutive adenines at random from a sample of 10 nucleotides:
According to the information provided, there are 10 adenines and a likelihood of 0.30 that DNA contains them. n = 10 and p = 0.30
Therefore, Probability = (0.30)10 = 0.000006
The likelihood of randomly selecting 10 consecutive adenines from a sample of 10 nucleotides is calculated by multiplying the likelihood that DNA contains adenines by 10 times.
Therefore, The probability of picking 10 consecutive adenines at random from a sample of 10 nucleotides is 0.000006.
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A landscaper mows lawns for at least 3 hours but not more than 6 hours. the landscaper can mow 44,000 ft2 per hour. the function f(t)=44,000t represents the number of square feet the landscaper can mow in t hours. what is the practical range of the function?
Answers
Answer: [tex]132000 \le f(t) \le 264000[/tex]
Explanation:
The domain is [tex]3 \le t \le 6[/tex] to represent the time values between 3 and 6 hours, including the endpoints. This represents the set of possible inputs to the function.
The function f(t) = 44000t is an increasing function. This means the smallest range value corresponds to the smallest domain value.
Plug in t = 3 to find that:
f(t) = 44000t
f(3) = 44000*3
f(3) = 132000
This says he mows 132,000 sq ft of lawn in 3 hours.
Now plug in the largest domain value to find the largest range value
f(t) = 44000t
f(6) = 44000*6
f(6) = 264000
He mows 264,000 sq ft of lawn in 6 hours.
The range is the set of f(t) values between 132,000 and 264,000
We can write that as [tex]132000 \le f(t) \le 264000[/tex]
i need help with the image below
Answers
Answer:
A. k ≥ 8.14
Step-by-step explanation:
Hope this helps! :))
giving brainliest to first person who answers!
Evaluate.
7 x 5 + 4² − 2³ / 4
Answers
Follow PEMDAS
7 x 5 + 16 - 8 /4
35 + 16 - 2
51 -2
49