Answer:
The options are not shown, so i will solve this in a general way.
Let's suppose that there are N nuts
If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.
If we divide the N nuts into groups of 3, there is no remainder.
This means taht N is a multiple of 3. then we can write:
N = 3*k
where k is a random integer.
Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:
N = 5*j + 2
where j is a random integer.
Now we only need to find a pair of k and j (both positive integers) such that:
3*k = 5*j + 2
We can rewrite this as:
k = (5/3)*j + (2/3)
Now we could just input different values of j, and see if k is also an integer:
j = 2
k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4
Then the pair j = 2, k = 4 is a possible solution.
N = 3*k = 3*4 = 12
N = 5*j + 2 = 5*2 + 2 = 12
From this we can conclude that N = 12, so Scrat has 12 nuts.
Now with the equation
k = (5/3)*j + (2/3)
We can find other possible combinations of j and k, that will give different values for N.
for example, if j = 5:
k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9
Then the pair j = 5, k = 9 is also a possible solution:
N = 3*k = 3*9 = 27
N = 5*j + 2 = 5*5 + 2 = 27
In this case, Scrat has 27 nuts.
A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?
Answer:
5,940 cubic centimeters
Step-by-step explanation:
Volume of puzzle box
= Area of base*Height
= 220*27
= 5,940 cubic centimeters
the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?
Answer:
One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.
A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score
Answer:
mean=42
SD=7.8
X=54
Z=(X-u)/SD
Z=(54-42)/7.8=12/7.8
=1.54
A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
Answer:
Step-by-step explanation:
From x = -2 to x = 0, the average rate of change for both functions is negative
The quadratic function, y = x2, has an x-intercept at the origin
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
those 3 are good
The quadratic function, y = x², has an x-intercept at the origin is, TRUE
And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE
From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have;
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.
And, Both are declining if you read the graph from left to right.
For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.
y = x²
If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3
For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.
If we insert 2 for x, we see that;
⇒ y = x² + 3
⇒ y = 2² + 3
⇒ y = 7
And, our y value in the point (2, 7) is 7.
Learn more about the function visit:
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Which questions result in data that is categorical? Check all that apply.
Is your job as an IT administrator stressful?
What is your biggest source of stress?
How has your job impacted your personal life?
In the past week, how many hours of overtime did you work?
Have you ever considered switching careers because of on-the-job stress?
Answer:
The answer is 1,2,3, and 5
Step-by-step explanation:
The person above me answered it correctly, I basically just copied and pasted it onto here :)
Options A and E are categorical.
Is your job as an IT administrator stressful?
Have you ever considered switching careers because of on-the-job stress?
Given,
- Is your job as an IT administrator stressful?
- What is your biggest source of stress?
- How has your job impacted your personal life?
- In the past week, how many hours of overtime did you work?
- Have you ever considered switching careers because of on-the-job stress?
We need to find which options are categorical.
What are categorical data?The data that can be divided into groups are called categorical data.
Example:
People who know how to drive and who don't know how to drive.
We can have two groups here.
Yes and No.
Find which of the following are categorical.
- Is your job as an IT administrator stressful?
We can have two groups:
Yes and No.
It is categorical data.
- What is your biggest source of stress?
We can have different answers which can not be categorized into groups.
It is not categorical data.
- How has your job impacted your personal life?
Everyone will have different answers so it is not categorical data.
- In the past week, how many hours of overtime did you work?
Everyone will have a different answer so we can not make groups.
It is not categorical data.
- Have you ever considered switching careers because of on-the-job stress?
We can have answers as yes and no so we can make two groups
It is categorical data.
Thus Options A and E are categorical.
Is your job as an IT administrator stressful?
Have you ever considered switching careers because of on-the-job stress?
Learn more about categorical data here:
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If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it
Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
By substitution:
[tex]=(3x-1)-(x+2)[/tex]
Simplify. Distribute:
[tex]=(3x-1)+(-x-2)[/tex]
Rearrange:
[tex]=(3x-x)+(-1-2)[/tex]
Therefore:
[tex](f-g)(x)=2x-3[/tex]
Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes
Answer:
Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour
As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches
Step-by-step explanation:
I hope this helps and I’m not to late.
Can someone answer this?:(( I really need it
Answer:
What lesson in math is this?
Step-by-step explanation:
So that I can search it and then help you
jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the width of the piece of paper in square inches
Answer: the paper is 8 inches
Step-by-step explanation: I'm sure the answer is 8.
X=1.56 cm
X=1.44cm
X=2.25cm
X=0.64
Answer:
x= 1.44
Step-by-step explanation:
I divided 1.2 cm by 0.96 to find the factor, which give me 1.25.
So I did 1.8 cm divided by 1.25 which give me the answer above.
Hope that helps.
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track
Answer: it will take 7 seconds
Step-by-step explanation: 9 x 7 = 63
What is the slope of the line that passes through
the points (-6, 6) and (10, -10)?
Answer:
-1
Step-by-step explanation:
as - 10-6/10-(-6)
Equals - 16/16
pls help asap no trolls
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?
Answer: The answer is 15:7
Answer:
15:7
Step-by-step explanation:
Draw 9:10 on a clock
Answer:
put the short hand at nine
Step-by-step explanation:
put the long hand and 10 minutes
Answer:
you can draw on your notebook and draw the clock
PLEASE ANSWER ASAP!
2(h -3.5) = -11
what is h?
Answer: -2
Step-by-step explanation:
2(h -3.5) = -11 Distributive property
2h - 7 = -11. Add 7 to both sides
2h = -4. Divide both sides by 2
h = -2
Answer: The answer is -2 :)
Step-by-step explanation: 2(h -3.5) = -11 distributive propert
2h-7=-11 Add -7 to both side
+7 =+7
2h=-4 Divide 2 to both side
2 = 2
h=-2
Find all solutions of sinx-sqrt1-3sin^2x=0
Answer:
what
Step-by-step explanation:
that doesnt make any sense
A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?
Answer:
15.20feet
Step-by-step explanation:
Length of the ladder = 16foot (hypotenuse)
BAse of the ladder from the house = 5feet (adjacent)
height of the house = x (opposite)
Using the pythagoras theorem
hyp^2 = opp^2 + adj^2
16^2 = 5^2 + opp^2
256 = 25 + opp^2
opp^2 = 256-25
opp^2 = 231
opp =√231
opp = 15.20
Hence the house is 15.20feet high up the house
Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S.
R(-4, 5) and S(2, -1)
Method 1
Use the Distance Formula. Substitute the values for the coordinates of R and s into the Distance Formula.
Answer:
R(0,10) S(0,0)
Step-by-step explanation:
Circle geometry please help,
Answer:
7. Inscribed angle
Step-by-step explanation:
7. Inscribed angle
8.
y° = 70°
z° = 140°
8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.
Therefore, y° = 70°
Measure of central angle is two times the measure of the inscribed angle.
Therefore,
z° = 2* 70° = 140°
Is the given value a solution of the inequality?
Answer:
I don't think so
Step-by-step explanation:
if the s has to be more than or equal to then s would have to equal 8 or more
What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?
Answer:
78.54in²
Step-by-step explanation:
i used the formula
Pete walks 2 miles in an hour. At this rate how many miles can Pete walk in 4 hours
Answer:
8 miles
Step-by-step explanation:
2 miles= an hour
4 miles= two hours
6 miles= three hours
8 miles = four hours
Answer:
8
Step-by-step explanation:
Use Pete's walking speed: 2 miles per hour × 4 hours = 8 miles.
What is the area of a circle if it has a diameter of 14 units
Answer:
143.94 is the area of the circle
A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?
Answer:
here,
15 pound bag =$6.30
or, 1 pound bag = 6.30/15
or, 1 pound bag = $0.42
or,29 pound bag = 29 X $ 0.42
or, 29 pound bag = $ 12.18
Hence, a 29 pound bag of apple cost $12.18
Is this a positive trend or negative trend or no trend please help
Answer:
negative trend because the values are decreasing
find the measusre of the angles.
Answer:
1, 3, 5 =117
2, 4, 6, 7= 63
Step-by-step explanation:
Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.
63 as a fraction in sumplest form
Can anyone help me with these? PLEASE!!!
I NEED THE WORDS AND TERMS TO MATCH THE WORDS ILL GIVE YOU 50 POINTS AND BRAINILEST
Answer:
1 = 5
2 = 8
3 = 1
4 = 3
and
5 = 9
Step-by-step explanation: