Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.
Given:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
To find:
The smallest number of bags the groundskeeper must buy to cover the field.
Solution:
Diameter of the field = 290 feet, radius = 145 feet
Step-by-step explanation:
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ6
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
Please answer this there is a link to the photo
Answer:
588
Step-by-step explanation:
In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.
So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².
We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.
Can you please help me!? Explain and show work, please!
Answer:
no solution
Step-by-step explanation:
A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice
The points (4,16) and (−4,−16) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of a?
Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values
any more help just ask :)
help pls im stuck thank u guys
Answer:
The answer is 36.
Step-by-step explanation:
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First, divide 108 by 12.
The result is 9.
Now square root 9.
The result is 3.
Now, multiply 12 by 3.
The result is 36.
To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.
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#teamtrees #WAP (Water And Plant)
how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
. What is 7/10 as a percent?
Answer:
70%
Step-by-step explanation:
5/10. 50%
6/10. 60%
7/10. 70%8/10. 80%
9/10. 90%
Answer:
70%
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
Answer:
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
What is f(−1) for the function given? f(x)=x2−3x+8
Answer:
12
Step-by-step explanation:
I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Answer:
2 1/7 pieces
Step-by-step explanation:
A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?
Each sheet of cardboard = 2 1/2 square feet
Each smaller pieces of cardboard = 1 1/6 square feet
Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷
Each smaller pieces of cardboard
= 2 1/2 square feet ÷ 1 1/6 square feet
= 5/2 ÷ 7/6
= 5/2 × 6/7
= (5*6) / (2*7)
= 30/14
= 15/7
= 2 1/7 pieces
Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces
PLEASE HELP!!! The population of a town was 780 in 1970. The population has been growing at a rate of 26% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.
What is the slope of the following equation? 8x+3y=9
Answer:
The answer is -8/3.
Step-by-step explanation:
First, you have to make y the subject :
8x + 3y = 9
3y = -8x + 9
y = (-8/3)x + 3
In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.
tell me the answer on this one to lazy to do it
Answer:
Step-by-step explanation:
New point would be (-8, 1) so the answer is none of the other answers are correct.
y+1=5(x−9) is it linear or non-linear?
Answer:
yes its linear
Step-by-step explanation:
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet
Factor an 8 from the expression: 32 + 40b
Select the correct locations on the graph
select the lines that represent functions
Step-by-step explanation:
Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.
The lines outlined in a black box are the correct answers.
Answer:the other person is right
Step-by-step explanation:
10. A tanning salon charges a one-time maintenance fee of $12 plus $4 for each tanning visit. Find a reasonable domain and range for the function for up to 6 visits.
3/4 divided by 1/5
HELPPP
Answer:
3.75
Step-by-step explanation:
3/80 as a fraction maybe
3 3/4 as a mixed fraction
whats 1+1 ? please help my teacher isnt going to give me candy if i dont answer this :(
Answer:
2
Step-by-step explanation:
......... lol
you can have candy
Answer:
2
Step-by-step explanation:
1+1= 2that is an example
get that candy
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
What is the slope of the line passing through the point 2 comma negative 1 and the origin?
Answer:
- 1/2 or - 1.5
Step-by-step explanation:
I would suggest using a table
x y
2 -1
0 0
from -1 to 0, you add 1
from 2 to 0, u subtract 2
so y/x
1/-2
Your slope will be -1/2 or -1.5
Hope this helped!
Answer:
-1/2
Step-by-step explanation:
I need help with this question in Geometry.
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
In the first week of June, a restaurant sold 10,345 omelets. In the second week, 1,096 fewer omelets were sold than in the first week. In the third week, 2 thousand more omelets were sold than in the first week. In the fourth week, 2 thousand fewer omelets were sold than in the first week. How many omelets were sold in all in June? *
Answer:
40, 284 omelets
Step-by-step explanation:
Given that:
In the first week of June = 10345 omelets were sold
In the second week = 1096 fewer omelets are sold than in week one
i.e. 10345 - 1096 = 9249 omelets
In the third week = 2000 more were sold than week one.
i.e. 2000 + 10345 = 12345 omelets
In the fourth week = 2000 fewer omelets were sold than week one.
i.e. 10345 - 2000 = 8345 omelets
Thus, the total quantity of Omelet sold in the month of June is:
= (10345 + 9249 + 12345 + 8345) omelets
= 40, 284 omelets