Answer:
4. $216 gain
5. 30g
I hope this helps
Factor each polynomial. 20 points
5a^2b^2 + 10ab +25a
8m^2n^2 - 24mn^3 +16mn
9xz^3 + 18yz^2 + 24z^2
16x^6y + 16x^2y^4 + 32x^3y^2
So, here we are to factor the polynomials :
\(\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\\)
\( \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\\)
\(\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\\)
\( \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\\)
\(\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\\)
\(\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\\)
\(\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\\)
\( \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\\)
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expression.Find the area of the circle.
Use 3.14 for it.
Answer:
9\(\pi\) or 28.26
Step-by-step explanation:
A = \(\pi\)r^2
the diameter is 6, making the radius 3 (radius x 2 = diameter)
A = 3^2 x \(\pi\)
A = 9\(\pi\) or 28.26
A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS
Answer:
8 ft
Step-by-step explanation:
Given:
Volume = 401.92
radius = 4 feet
Volume of cylinder: \(\pi\)r^2h
3.14 * 4^2 * h = 401.92 cubic feet
3.14 * 16 * h = 401.92 cubic feet
50.24 * h = 401.92
h = 8 ft
50 POINTS!!! I WILL GIVE BRAINLIEST TO WHOEVER SHOWS STEPS! THANK YOU!:)))
Show all steps on how you found the answer.
For each function, what is the output of the given input?
For f (x) =4x+7, find f(4)
Answer:
23
Step-by-step explanation:
If you have something that says it is the f(x) or just f(something) then that is just telling you what the x equals. In this case, x=4 so you plug that into the equation.
This gives you f(4)=4(4)+7. From here, you will use the order of operations to solve.
f(4)=4*4+7
f(4)=16+7
f(4)=23
Answer:
f(4)=23
Step-by-step explanation:
1.f(4)=4(4)+7
2.f(4)=16+7
3.f(4)=23
hope this helps!
What is the final amount if 700 is decreased by 6% followed by a 7% increase Rounded to 2 decimal places
Answer:
816.67
Step-by-step explanation:
what should be added to
11/21 to make it
19/21
To find what needs to be added subtract the two numbers:
19/21 - 11/21 = 8/21
You need to add 8/21 to 11/21 to get 19/21
Can someone please help? Thank youuu:)
what is my average grade if i have seven 100's and one 0
Answer:
90/100 or 81.8%
Step-by-step explanation:
w = 0,1 , then your grade will be 81
It depends upon how many total points are available and what the zero was out of possible points. If you have a 90/100 and a 0/100, that gives you a 45%, which is failing. If you have 90% of 1000 points and get a 0/100, that will land you with an 81.8%.
3. Without solving them, say whether the equations below have a positive solution, a negative solution, a zero solution, or no solution. Give a reason for your answer. Example: 2 x+4=5 . We are a
Here are some equations and their corresponding solutions:
x^2 - 9 = 0: This equation has two solutions, x = 3 and x = -3, both of which are real. So it has both a positive and a negative solution.
x^2 + 4 = 0: This equation has no real solutions, because the square of a real number is always non-negative. So it has no positive, negative, or zero solution.
5x - 2 = 0: This equation has one solution, x = 0.4, which is positive. So it has a positive solution.
-2x + 6 = 0: This equation has one solution, x = 3, which is positive. So it has a positive solution.
x - 7 = 0: This equation has one solution, x = 7, which is positive. So it has a positive solution.
The reasons for these solutions can be found by analyzing the properties of the equations. For example, the first equation is a quadratic equation that can be factored as (x-3)(x+3) = 0, which means that the solutions are x = 3 and x = -3. The second equation is also a quadratic equation, but it has no real solutions because the discriminant (b^2 - 4ac) is negative. The remaining equations are linear equations, and they all have one solution that is positive.
Learn more about "equations" : https://brainly.com/question/29174899
#SPJ11
2. In a bag of fruit Skittles, the ratio of strawberry to orange to lemon-lime is 4: 3:7. There are 56 Skittles in a bag.
Find the number of lemon-lime Skittles in the bag.
Answer:
28
Step-by-step explanation: 4+3+7=14
56/14=4
7*4=28
Answer:
28
Step-by-step explanation:
4x+3x+7x = 56
14x=56
x=4
7x ---> 7(4) ---> 28
So there are 28 lemon lime skittles in a bag
What is x equal to in the equation 2x+7=16? Give your answer as an improper fraction in its simplest form.
Answer:
\(x=\frac{9}{2}\)
Step-by-step explanation:
\(2x=9 \implies x=\frac{9}{2}\)
What is the value of (ΣX)2 for the scores 1, 5, 2?(PLEASE EXPLAIN)10163064
The value of (ΣX)² for the scores 1, 5, 2 is:
64
It is the representation of the sum of infinite or many values. And it is represented by the following symbol:
∑xi
The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.
Steps to follow:
Step 1: Find the summation of the scores.
ΣX = 1 + 5 + 2 = 8
Step 2: Square the summation.
(ΣX)² = 82 = 64
Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.
More information about summation here:
https://brainly.com/question/11741791
#SPJ11
im literally on my last braincell please help omg
an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term
Answer:
its going up by 5 every time
Step-by-step explanation:i think that would help i dont know if it was obvious
Becky and Meredith are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper.
Becky sold 7 rolls of plain wrapping paper and 1 roll of shiny wrapping paper for a total of $39. Meredith sold 7 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $72.
What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper?
Answer:
111
Step-by-step explanation:
72+39+1=111
Which expression is equivalent to this expression?
2² x 36
34
Answer:
2³x3²
Step-by-step explanation:
(2³x3⁶)/3⁴
2³x3⁶^-4
= 2³x3²
9. Determine where the graph represents a function explain your answer.
The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.
In this case we any vertical line will only intersect one point then we conclude that:
The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.
How much money should you save each month?
A. Always save 5% of your income
B. You must decide what you can afford
C. Save $50 from every paycheck
D. Only save your spare change
Answer:
I prefer 5% of your income should be saved each month
Answer:
b. you must decide what you can afford
Step-by-step explanation:
i just took the quiz and that's the correct answer
1. A line of symmetry divides a figure into two congruent halves. For each figure, draw the lines of symmetry.
a. the figure has____ lines of symmetry
b. the figure has _____ lines of symmetry
c. the figure has ______lines of symmetry
d. the figure has ______ lines of symmetry
9th grade math
A shape has rotational symmetry whereby it has the same appearance when it is rotated partially, and a line of symmetry cuts an object into two matching halves
The correct values are as follows;
1. a. The figure has four lines of symmetry
b. The figure has six lines of symmetry
c. The figure has five lines of symmetry
d. the figure has two lines of symmetry
2. The error is that rotational symmetry of a octagon are 45°, 90°, 135°, 180°, 225°, 270°, 315°, and 360°
3. a. 90°, 180°, and 270°
b. 120° and 240°
Reasons:
1. a. The lines of symmetry of the figure are;
A vertical lineAn horizontal lineA diagonal inclined 45° to the horizontalA diagonal inclined at 135° to the horizontalTherefore;
The figure has four lines of symmetry, the correct option is option a.b. The figure is a regular hexagon and it has six lines of symmetry
The figure has six lines of symmetryc. A star has five lines of symmetry
Therefore;
The figure has five lines of symmetryd. A rhombus has two lines of symmetry
The figure has two lines of symmetry
2. The error is that rotational symmetry of a octagon are 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360°
3. a. The lines of symmetry are perpendicular, therefore, the figure has rotational symmetry of 90°, 180°, and 270°
b. The triangle has three lines of symmetry, therefore, the rotational symmetry are \(\dfrac{360^{\circ}}{3} = 120^{\circ}\) apart, therefore
The angles of rotational symmetry are; 120° and 240°
Learn more about rotational symmetry here:
https://brainly.com/question/12859850
https://brainly.com/question/17759737
A town’s population is 760 in one year and 798 the next year. By what percent did the population grow?
Answer: The answer is 38%
can someone help please?
Answer:
x = 54
Step-by-step explanation:
In this line, I am going to assume lines l and m are parallel.
Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.
180 - 116 = 64.
The other angle's total value must be 64.
Now, to solve for x, subtract 10 from 64 [inverse operations].
64-10=54
The value of x in this equation is 54 degrees.
How would you describe the shape of the normal distribution?
The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
What is a normal distribution?
A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.
It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.
It is also known as probability distribution curve.
The normal distribution has two parameters:
MeanStandard deviationWhat is the shape of the normal distribution?
The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.
Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
Know more about "normal distribution" here: https://brainly.com/question/15103234
#SPJ4
PLEASE label this graph, PLEASE its my last day.
Answer:
Relation between Moon and Tide Cycles
Tide Cycles as they relate to Moon Cycles
Correlation between Shifts in Moon Cycle and Shifts in Tides
Step-by-step explanation:
Your graph here is a graph of a relation, as most graphs / all functions are. So, you should include what you are comparing (full moons and tide heights).
Your x-axis is already shown to be measured by days, but you might want to include a more direct explanation {if you think that is what is being asked of you here}
possibly: Day of Month
and your y-axis is already shown to be measured in tide height, but you could write:
Height of Tide
to make it more formal {that is probably not expected of you}
The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle and solve in order to determine the value of x.
Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula
\(\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}\)
We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0
The circumference of the hub cap of a tire is 72.28 centimeters. Find the area of this hub cap
Write an equation in slope-intercept form of the line that passes through (−5, 19) and (5, 13).
Answer:
-3/5x+16
Step-by-step explanation:
Johnny Appleseed told me
the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -1.41. what is the weight of this egg in grams? round to the nearest hundredth of a gram.
By using normal distribution, it is obtained that weight of a randomly selected chicken egg is 28.39 grams
What is normal distribution?
Normal distribution is a continuous type probability distribution whose probability density function is
\(\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}\)
where, z = \(\frac{x - \mu}{\sigma}\)
\(\mu\) is the mean and \(\sigma\) is the standard deviation
In case of normal distribution
Formula for z = \(\frac{x - \mu}{\sigma}\)
\(\mu\) is the mean and \(\sigma\) is the standard deviation
Let the weight of the egg be x grams
Here, z = -1.41, \(\mu\) = 58 and \(\sigma\) = 21
\(-1.41 = \frac{x - 58}{21}\\\)
x = -1.41 \(\times\) 21 + 58
x = 28.39 grams
Weight of a randomly selected chicken egg is 28.39 grams
To learn more about normal distribution, refer to the link-
https://brainly.com/question/4079902
#SPJ4
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
Divide (6x2 + 12x) by 3x
Answer:
choice 1) 2x+4
Step-by-step explanation:
(6x²+12x)/3x = 2x+4
what is the measure of ∅?
A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians
Answer:
C. 4 radians
Step-by-step explanation:
\(20=\frac{\pi (Ctrl.Angle)(5)}{180}\)
Ctrl Angle = ∅
∅ = \(\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }\)
in radians:
∅ = \(\frac{720}{180} =4\)
Hope this helps
Tracy can download 24 songs in 10 minutes. At this rate, how many songs can she download in half an hour?
Answer:
72
Step-by-step explanation:
24x3=72
hwhabsbahahababhjbabhw