Answer:2
Step-by-step explanation:
number of pieces given to Jake=x
20-(6x+6)-x=0
x=2
check:
start 20 pieces of gum
Jake gets 2
Jill gets 2*6+6=18
What are the intercepts of the graphed function?
x- intercept = (-1,0)
y- intercept = (-3,0)
x- intercept = (0,1)
y- intercept = (0,-3)
x- intercept = (0,-1)
y- intercept = (-3,0)
x- intercept = (-1,0)
y- intercept = (0,-3)
Answer:
x-intercept = (-1,0)
y-intercept = (0,-3)
Step-by-step explanation:
The intercepts of a function are points where the graph intersects the x-axis or y-axis. The valid x-intercepts from the provided list are (-1,0) and (0,-1), and the valid y-intercepts are (-3,0) and (0,-3). The points (0,-1) and (0,-3) serve both as an x and y-intercept.
Explanation:The intercepts of a graphed function are the points at which the graph intersects the x-axis or the y-axis. These are key in understanding the behaviour of a function.
The x-intercept is the point where the graph cuts the x-axis and has a coordinate in the form (a, 0), where 'a' is a real number. In your list of intercepts, the valid x-intercepts are (-1,0) and (0,-1). Noting that (0,-1) is a special case where it also serves as a y-intercept.
In contrast, the y-intercept is the point where the graph intersects the y-axis. It has a coordinate in the form (0, b), where 'b' is a real number. From your list, the valid y-intercepts are (-3,0) and (0,-3). Similarly to the above, (0,-3) is a special case where it also serves as an x-intercept.
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What is the range and the domain of: F(x)=x2-2x-3
What is the equation of a line that contains the points (5,0) and (5,-2)?
X=5
x=0
y=0
y=5
Answer:
x = 0
Step-by-step explanation:
If you do the equation y2 - y1 over x2 - x1 you get 0 and the x intercept is 5 y=0×5 = 0
A plot of land has an area of 33.75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet. What is the height of the trapezoid?
Answer:
the height of the trapezoid is 4.5 feet.
Step-by-step explanation:
i got it right
The height of the trapezoid cannot be determined from the information given in the problem. The areas and base lengths or the lengths of the diagonals of the trapezoid are required to determine its height.
Explanation:The question seems to be a bit conflicted. First, if we look at the information given, the plot of land with an area of
33.75 square feet
is the space for the trapezoid, not its height. The shed, with its dimensions, will take up 16 square feet. But putting a shed on the trapezoid or relating this to the height of the trapezoid doesn't seem to connect. The
height of the trapezoid
is not something we can determine with the information given. To determine the
height of a trapezoid
, you need either the areas and base lengths or the lengths of the diagonals. Unfortunately, the information about the shed doesn't help in determining the height of the trapezoid.
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Which triangle can be solved using the law of sines?
The triangle C can be solved using the law of sines.
What is the law of sines?
'The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.'
According to the given problem,
We know,
Law of sines = [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
In triangle C,
Third angle = 180 - ( 70 + 30 )
= 180 - 100
= 80°
⇒ [tex]\frac{10}{sin30 }= \frac{b}{sin70} =\frac{c}{sin80}[/tex]
⇒ [tex]\frac{10}{sin30}= \frac{b}{sin70}[/tex]
⇒ 20 × 0.9396 = b
⇒ b = 18.8 m
⇒ [tex]\frac{10}{sin30}=\frac{c}{sin80}[/tex]
⇒ 20 × 0.9848 = c
⇒ c = 19.7 m
Hence, we can conclude that tringle C can be solved using the law of sines.
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Answer:
D: The fourth one
Step-by-step explanation:
The Law of Sines can be used to solve for the missing lengths or angle measurements in an oblique triangle. An oblique triangle is a triangle where two of the angles and one of the sides are known.
On a survey, 3 out of every 8 band members prefer listening to jazz music.
Based on the survey, how many out of 240 band members would prefer listening to jazz music?
A. 65
B. 90
c. 144
d. 175
Answer:
B.) 90
Step-by-step explanation:
Since the ratio is 3:8, the fraction would look something like the following.:
[tex]\frac{3}{8} =\frac{?}{240}[/tex]
We know that there are 240 band members in this scenario. What do you multiply 8 by to get 240? 30.
[tex]\frac{3*30}{8*30} =\frac{90}{240}[/tex]
To solve the problem, we set up a proportion, 3/8 = x/240. Solving for 'x', we find that 90 out of 240 band members would prefer listening to jazz music, so the correct answer is B (90).
Explanation:This problem concerns proportions. In the survey, it is stated that 3 out of 8 band members preferred listening to jazz. To find out how many out of 240 would prefer jazz, we set up and solve a proportion. Our proportion is 3/8 = x/240, where 'x' is the number of band members we need to find.
To solve for 'x', we cross-multiply 3*240 = 8x. This gives 720 = 8x. Then divide by 8, and we get x = 90. So, 90 out of 240 band members would prefer listening to jazz music.
Therefore, option B (90) is correct.
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i need help!!!!!!!!!!!!!!!
Answer:
5m = 3890
Step-by-step explanation:
jordan purchased 30 bags of candy for $12. At that rate how many bags of candy can he purchase for $8
Answer:
45 bags of candy
Step-by-step explanation:
The first thing is to calculate the money Jordan has, we know that by multiplying the number of bags by their price, that is:
30*12 = 360
I mean, he's got $360, now with this money he wants to buy $8 bags, so it would be
360/8 = 45
That means I could buy 45 bags of candy if they cost $8
Jordan can purchase 20 bags of candy for $8.
Jordan purchased 30 bags of candy for $12. At that rate, to find out how many bags of candy he can purchase for $8, we first calculate the cost per bag of candy by dividing the total cost by the number of bags purchased. This gives us a rate of $0.40 per bag of candy ($12/30 = $0.40). To determine how many bags of candy Jordan can purchase for $8, we then divide $8 by the cost per bag, which is $0.40.
Calculating, $8/$0.40 = 20 bags of candy. Thus, for $8, Jordan can purchase 20 bags of candy at the same rate.
Need help with this one
Answer:
10
Step-by-step explanation:
2 times 5 is 10
Answer:
part A: 1/2
Step-by-step explanation:
1/2 + 1/2 = 2/2 or 1 whole
Which set of data has the strongest linear association?
Answer:
Top right
Step-by-step explanation:
The one on the top right has the greatest amount of dots on the line.
hope this helps :)
By looking at the given graphs, we conclude that the set of data with the strongest linear association is the one in the top right.
What is the linear association?
Linear association is a measure of "how much" a set of data behaves like a line.
So, we just need to see which of the given sets of data behaves more like a line (we can compare with the shown lines).
As you can see, in the only set where almost all the points lie in the graphed line is in the top right graph. In the other 3, we can see points outside of the line.
So the set of data with the strongest linear association is the one in the top right graph.
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Rewrite the expression -3(5)4 as a fraction in simplest form.
A) -1/225
B) -3/25
C) 1/75
D) 3/25
Answer:
i think B
Step-by-step explanation:
P.s im dumb so I might be wrong
Answer:
(d)
Step-by-step explanation:
its d its (75)
20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,
and g(x) = 150-0.001x² models the service cost per item. Write a function C(x) for the total manufacturing and
service cost per item.
Answer:
Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,
P(x) = R(x) - C(x)
If we are to substitute the given expression for each of the terms, we have,
P(x) = x(S(x)) - C(x)
Substituting,
P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)
Simplifying,
P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120
Combining like terms,
P(x) = -0.15x³ - 0.02x² + 28x - 120
The answer to this item is the second among the choice, number 2.
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Step-by-step explanation:
Final answer:
To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².
Explanation:
To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.
When you add these two functions, you get:
C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.
A spinner is spun four times. What is the probability that the spinner lands on 2 each time?
Answer:
1/2
Step-by-step explanation:
multiply 4 times 7/8 and then add 12
Answer: Its egual to 4
Step-by-step explanation: 5times 8 over 10 =4o divide is by 10
10 divide it by 10
=4
The parallelogram shown below has an area of 140 units^2. The base is twelve and the side is 10 help this is so hard.
Answer:
height = 11.67 units
Step-by-step explanation:
A parallelogram is a quadrilateral with 2 pairs of parallel sides. This means opposites sides are parallel to each other. Opposite angles and sides are congruent.
From your question the base of the parallelogram is given as 12 units and the sides is 10 units. The area of the parallelogram is given as 140 units². What is left is the height of the parallelogram.
Using the formula for finding the area of a parallelogram, the height can be found.
area of a parallelogram = base × height
base = 12 units
height = ?
area = 140 unit²
area of a parallelogram = base × height
let
h = height
140 = 12h
divide both sides by 12
h = 140/12
h = 11.6666666667 units
height = 11.67 units
If you flip a coin and roll a 6-sided die, what is the probability that you will flipa heads and roll a 2
Answer:
The Probabilty that you will flip a heads is 50% and the Probabilty that you will roll a 2 is 16.
Step-by-step explanation:
A coin has 2 sides Heads and Tails, so it's 50-50.
A coin has 6 sides.
100/6=16%
Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of gas, how many
miles did he travel?
Answer:
400 x 0.3 = 120 miles
120 miles would be your answer
Step-by-step explanation:
Answer:
He traveled 120 miles
Step-by-step explanation:
400/10=40
40x3=120
so if 10% of 400 is 40, then 30% is 120
Which statement is true?
Answer:The mode is equal to the minimum
Step-by-step explanation:
Find out the mean, median, mode and minimum
minimum = 48
mean = 50.4
mode = 48
median = 50
Answer:
The mode is equal to the minimum
Step-by-step explanation:
Find out the mean, median, mode and minimum
minimum = 48
mean = 50.4
mode = 48
median = 50
Which two numbers doesStartRoot 52 EndRoot lie between on a number line? 7.0 and 7.1 7.1 and 7.2 7.2 and 7.3 7.3 and 7.4
√52 = 7.21110...
7.21 is in between 7.2 and 7.3
Answer:C - 7.2 and 7.3
The two numbers which the square root of 52 lie between are; 7.2 and 7.3.
What numbers does the square root of 52 lie between?From the task content;
It follows that the square root of 52 must be evaluated as follows.√52 = 7.211
On this note, it follows that the number 7.211 lies between 7.2 and 7.3.
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The manager of a dress shop recorded the number of dresses sold during the week the data is as follows
17 15 16 20 15 19
Find the mean deviation for this data
4.98
1.67
2.21
1.91
The mean deviation for the data (17, 15, 16, 20, 15, 19) is calculated by finding the mean, determining the absolute differences from the mean for each value, summing those differences, and then dividing by the number of values, resulting in a mean deviation of 1.67.
The mean deviation is a measure of the average distance between each data value and the mean of the data set. To calculate the mean deviation of the given data (17, 15, 16, 20, 15, 19), first we find the mean of these values.
Add up all the numbers: 17 + 15 + 16 + 20 + 15 + 19 = 102.Divide the sum by the number of data values: 102 / 6 = 17. This is the mean.Find the absolute difference between each data value and the mean, then sum those differences: |17 - 17| + |15 - 17| + |16 - 17| + |20 - 17| + |15 - 17| + |19 - 17| = 0 + 2 + 1 + 3 + 2 + 2 = 10.Finally, divide the sum of the absolute differences by the number of data values to get the mean deviation: 10 / 6 = 1.67.The calculated mean deviation for the provided data is 1.67.
A. 6.3
B. 4.5
C. 7.2
D. 5.4
Answer:
The answer is d, 5.4
Step-by-step explanation:
Please mark me brainliest
In trapezoid $WXYZ$, $\overline{XY} \parallel \overline{WZ}$, $\angle WXZ = 105^\circ$, $\angle W = 43^\circ$, and $\angle Y = 141^\circ$. Find $\angle YXZ$, in degrees.
Answer:
32 degrees
Step-by-step explanation:
The diagram of the problem is drawn and attached.
In Triangle WXZ
105+43+[tex]\angle WZX[/tex]=180 (Sum of Angles in a Triangle)
148+[tex]\angle WZX[/tex]=180
[tex]\angle WZX[/tex]=180-148
[tex]\angle WZX[/tex]=32 degrees
Since |XY|//|WZ| (parallel to)
[tex]\angle WZX[/tex]=[tex]\angle YXZ[/tex] (Alternate Angles)
Therefore:
[tex]\angle YXZ[/tex]=32 degrees
Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
Answer:
its c
Step-by-step explanation:
hope i helped :]
Answer:
answers c
Step-by-step explanation:
because i took the test
Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Answer:
P(x) = [tex]x^{4}[/tex] - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = [tex]\sqrt{3}[/tex], x = - [tex]\sqrt{3}[/tex]
Then the factors are (x - 2), (x + 2), (x - [tex]\sqrt{3}[/tex] ), (x + [tex]\sqrt{3}[/tex] )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - [tex]\sqrt{3}[/tex] )(x + [tex]\sqrt{3}[/tex] ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= [tex]x^{4}[/tex] - 3x² - 4x² + 12 ← collect like terms
= [tex]x^{4}[/tex] - 7x² + 12
Bobby spent 122 minutes on school work the first week, but only spent 109 minutes on school work the second week.
Answer:
what am I suppose to solve the difference of minutes is 13
Brandon is pulling a desk to the right with a force of 26.00 N. The force of friction to the left is 3.00 N.
a. Calculate the net force:
b. If the desk accelerates at 2.0 m/s2, find the mass of the desk.
Step-by-step explanation:
first and foremost start off with a proper FBD (I drew in the forces and acceleration just to refer back to it quicker, assume right and up are positive)
a) F net = Forces aiding the movement - forces opposing
if the box is sliding to the right then we've got
Fnet = 26 + (-3)
[notice how I wrote that they're both being added because they're vector forces]
Fnet = 23 N
b) using Newton's second law of motion, F = ma, we can find the mass
Fnet = ma
rearrange for mass
M = Fnet/a
M = 23 N / 2.0 ms^-2
M = 11.5 Kg
The net force is 23.00 N to the right. The mass of the desk is 11.5 kg.
Explanation:a. Calculate the net force:
The net force is the vector sum of all the forces acting on an object. In this case, the force of Brandon pulling the desk to the right is 26.00 N, and the force of friction to the left is 3.00 N. Since the friction force is in the opposite direction of the pulling force, we subtract it. Therefore, the net force is 26.00 N - 3.00 N = 23.00 N to the right.
b. If the desk accelerates at 2.0 m/s2, find the mass of the desk:
The equation for calculating the net force on an object is F = ma, where F is the net force, m is the mass, and a is the acceleration. Rearranging the equation to solve for mass, we have m = F/a. Plugging in the values, mass = 23.00 N / 2.0 m/s2 = 11.5 kg.
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The table contains data for five students: hours slept, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line. A 2-column table with 5 rows. Column 1 is labeled x with entries 4, 6, 6, 8, 10. Column 2 is labeled y with entries 62, 75, 88, 79, 97. Based on the trend line, what score would you expect after sleeping for 5 hours? As the number of hours sleeping increases, the coressponding test score
Answer:
72 & tends to increase
Step-by-step explanation:
just took the test
A student who slept for 5 hours could be expected to score around 68.5,
According to the given information:
The table is,
x y
4 62
6 75
6 88
8 79
10 97
Now create a scatterplot of the data.
Use the trend line equation to make a prediction for what test score you would expect if a student slept for 5 hours.
From the scatterplot,
The trend line equation is y = 4.3x + 52.4.
To find the predicted test score for x = 5, substitute x = 5 into the equation:
y = 4.3(5) + 52.4 y = 75.9
So you would expect a student who slept for 5 hours to have a test score around 75.9.
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Problemas completed 1/3
Problem: PRABABFV
4. Rocky the collie ate 3 cups of dog food each day for two weeks. How much dog food did Rocky eat in
that time?
Answer:
42 cups of dog food.
Step-by-step explanation:
Rocky ate 3 cups of dog food each day for two weeks, there's 7 days in a week, if you multiply 14 ( number of days in 2 weeks) and 3( the number of dog food each day) you would get 42 because 7 days are in 1 weeks and if you add another 7 days, you would get 14 days and by multiplying that by 3, the dog food Rocky ate each day, you would get 42, the answer to your question. Hope this answers your question!
What do birds such as eagles and hawks need energy for?
A) flying
B) breathing
C) digesting food
D) all of the above
Birds need energy for flying, breathing, and digesting food. Because of their high metabolism and active lifestyles, all of these processes are crucial for their survival and require substantial energy.
Explanation:Birds such as eagles and hawks need energy for a variety of activities essential to their survival. The correct answer to what they need energy for is D) all of the above.
These activities include flying, which is a highly energy-intensive activity requiring strong and efficient flight muscles; breathing, because birds have a unique respiratory system adapted for high levels of oxygen intake to support their active metabolisms; and digesting food, since birds have higher metabolic rates than humans, they need to digest their food quickly and eat often to maintain their energy levels.
The digestive process itself also consumes energy as nutrients from food are transformed into usable energy through biochemical reactions.
Final answer:
Eagles and hawks need energy for flying, breathing, and digesting food. Flying requires significant amounts of oxygen and energy due to the bird's efficient but energy-demanding flight muscles. Breathing and digestion are also energy-consuming processes that support the bird's active metabolism and need for frequent food intake.
Explanation:
Eagles, hawks, and other birds require energy for several key activities which are essential for their survival. The energy needs of birds like eagles and hawks encompass flying, breathing, and digesting food. Flying is an activity that demands a great deal of energy since birds need to be light to fly and have powerful flight muscles, making their digestive systems more rapid compared to humans.
Breathing is another crucial activity where birds have adapted a highly efficient respiratory system that enables them to take in the necessary oxygen to support their high metabolic rates. This is especially important because flying consumes a tremendous amount of energy, and birds need to eat often to maintain energy levels due to their quick digestion.
Lastly, digesting food also requires energy, as digestion is the process of breaking down food and transforming nutrients into energy through a series of biochemical reactions. Because birds digest their food quickly, they need to eat greater amounts of food more frequently to meet their high energy demands, which are raised even higher because birds have smaller surfaces to lose heat than humans.
The circumference of a circle is 36cm what is the radius?
Answer:
About 5.73 cm
Step-by-step explanation:
C=2πr so
36=2πr (divide by 2)
18=πr (using 3.14 as π)
18=(3.14)r (divide by 3.14)
r=5.732484076 so
R≈5.73 cm
Final answer:
The radius of a circle with a circumference of 36cm is approximately 5.73cm, calculated by dividing the circumference by the product of 2 and Pi (
).
Explanation:
Calculating the Radius from the Circumference
The circumference of a circle is closely related to its radius through the mathematical constant which is approximately 3.14159. The circumference (C) can be expressed using the formula C = 2
r, where r is the radius. Given that the circumference is 36cm, we can rearrange the formula to solve for the radius: r = C / (2
r). Substituting the given circumference into the equation, we get:
r = 36cm / (2
3.14159)
By performing the division, we can find the radius of the circle:
r = 36cm / (2 * 3.14159)
r = 36cm / 6.28318
r ≈ 5.73cm
Therefore, the radius of the circle is approximately 5.73cm.