ANSWER ASAP!!! 30 POINTS
Simplify −3r(−14r + 2r − 20).
36r2 + 60r
36r2 + 60
−36r2 − 60r
−36r2 + 60r
Answers
Step-by-step explanation:
-3r(-14r + 2r - 20)
-3r(-12r - 20)
36r² + 60r
answer is A or 36r² + 60r
Related Questions
Zack is on his school's color guard and is practicing throwing and catching his flag. He throws the flag into the air from a height of 5 feet at a velocity of 30 feet per second. After the flag starts to come back down, he catches it 7 feet above the ground.
To the nearest tenth of a second, how long is the flag in the air before Zack catches it?
Hint: Use the formula h=16t2+vt+s.
Answers
The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:
h = 16t^2 + vt + s
Where:
h is the height of the flag,
t is the time in seconds,
v is the initial vertical velocity of the flag,
s is the initial height of the flag.
In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).
We can rewrite the equation as:
7 = 16t^2 + 30t + 5
To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.
The quadratic equation in this case is:
16t^2 + 30t + 5 - 7 = 0
16t^2 + 30t - 2 = 0
Now, we can use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Applying the values from the quadratic equation, we have:
t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)
Simplifying further:
t = (-30 ± √(900 + 128)) / 32
t = (-30 ± √1028) / 32
Using a calculator, we find two solutions:
t ≈ -1.08 seconds or t ≈ 0.06 seconds
Since time cannot be negative in this context, we discard the negative solution.
Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
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Help due 30 mins....
Answers
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
C: 1/2(x+5)=36
Answers
Answer:
im not sure but ik u do 36x2=72-5=67 so thats how many rocks he had then he found 5 and gave away half leaving 36 bc 72/2=3 how you would write that i am not to sure but hope i helped in getting you closer to the answer.
Step-by-step explanation:
Answer:
C. 4 pounds
Step-by-step explanation:
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
Answers
The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,
4.9x - (- 3) = 12.8.
4.9x + 3 = 12.8
4.9x = 12.8 - 3.
4.9x = 9.8.
x = 9.8/4.9.
x = 2.
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Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
Answers
Answer:
3
Step-by-step explanation:
A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.
The total number of possible outcomes for the probability is P = 24 outcomes
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.
So there are only 3 possible outcomes: 4, 5, or 6.
Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.
Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.
Multiplying the number of outcomes for each event, we get:
Number of outcomes for rolling a cube: 3
Number of outcomes for spinning a spinner: 4
Number of outcomes for flipping a coin: 2
Total number of possible outcomes: 3 x 4 x 2 = 16
Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3
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The complete question is attached below :
Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.
How many unique outcomes are possible where the number on the cube is greater than 3?
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answers
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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A recipe calls for 24 ounces of chocolate chips. How many pounds is this?
A. 1
B. 1 1/2
C. 2
D. 2 1/2
Answers
B
1 pound = 16 ounces
24 = 16 x 1½
Find the union of each of the following pairs of the sets P={a,b,c,d} Q={a,e,i,o,u}
Answers
The union of the sets is written as;
P∪Q = { a, b, c, d,e , i, o, u}
How to determine the setFirst, we need to know that;
These signs of sets represents;
∩ represents the intersection of sets, where the common elements of the two or more sets are determined.∪ represents the union of sets where all the elements of the sets are written without repetition of elements.From the information given, we have that;
P={a,b,c,d}
Q={a,e,i,o,u}
The union of the sets is written as;
P∪Q = { a, b, c, d,e , i, o, u}
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solve the inequality-2+4x<14
Answers
Answer: x<4
Step-by-step explanation:
If we break this down as
-2+4x<14 and we add 2 to both sides
4x+<16 and divide by 4
and you get x<4
Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w). Kimberly starts one from seed but the package says it will grow 2 cm per week. How many weeks will it take for Kimberly’s plant to equal the height of Juliette’s?
Answers
Number of weeks required is 6.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w).
Kimberly starts one from seed but the package says it will grow 2 cm per week.
Kimberly flower will be 2 cm in length in 1 week.
In week 2, height will be 4 cm
Continuing this way we get
In week 6 height will be 12 cm
Hence, juilette require 6 week to get the equal height of Juliette’s plant.
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Find the slope and y intercept of the line 5x-9y=45
Answers
Answer:
slope = \(\frac{5}{9}\) , y- intercept = - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
5x - 9y = 45 ( subtract 5x from both sides )
- 9y = - 5x + 45 ( divide through by - 9 )
y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is
y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form
with slope m = \(\frac{5}{9}\) and y- intercept c = - 5
b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30°-
60°-90° triangle. (10 points)
Answers
ACF is a 30º-60º-90º triangle because of the following:
1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)
1 → short leg
2 → hypotenuse
\(\sqrt{3}\) → long leg
Side length of the hexagon is the short leg of the triangle. It is 1.
r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.
Using Pythagorean theorem.
\(a^2 + b^2 = c^2\)
\(1^2 + b^2 = 2^2\)
\(b^2 = 2^2 - 1^2\)
\(b^2 = 4 - 1\)
\(b^2 = 3\)
\(\sqrt{b^2} = \sqrt{3}\)
\(b = \sqrt{3}\)
Which expressions are equivalent to 6 + 12x?
Answers
Answer:
Expressions A, C, D are equivalent
Step-by-step explanation:
Equivalent expressions:
Two expressions are equivalent if they give the same result. So
Option A:
3(2 + 4x) =3*2 + 3*4x = 6 + 12x
So equivalent
Option B:
3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent
Option C:
5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.
Equal, so equivalent
Option D:
7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x
Equal, so equivalent.
Option E:
7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x
Different, so not equivalent.
PLEASE HELP! Will give brainliest and 20 points
4b) Find the area of the following shapes.
Answers
Answer:
180
Step-by-step explanation:
To find the area of the rectangle, multiply 15 by 9
15 x 9 = 135
To find the area of the triangle, multiply 15 by 6, then divide by 2
15 x 6 = 90
90/2 = 45
Now add these two numbers to get the total area.
135 + 45 = 180
Hope this helps :)
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answers
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
What are the zeros of the graphed function
Answers
Answer:
Step-by-step explanation:
The zeros are where the graph intersects the x-axis
x = 0
x = 2
x = 4
------------------------
Extra Credit
Note x = 2 is a double zero since it touches, but does not cross the x-axis
The equation is
y = -x(x - 2)²(x - 4)
Which proportion can be used to show that the slope of JL is equal to the slope of MP
Answers
Answer:
See below and attached
Step-by-step explanation:
As per the graph we have:
Coordinates of JL are J(-7, 4), L(-4, 0)Coordinates of MP are M(-10, 8), P(-1, -4)Slope formula is:
m = (y₂ - y₁)/(x₂ - x₁)Slope of JL:
(0 - 4)/(-4-(-7)) = - 4 / 3Slope of MP:
(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Answers
Let's solve the system of equations:
1. 3x + y = 12
2. x + 4y = 4
We can solve this system of equations using various methods such as substitution or elimination. Let's use the elimination method here:
Multiply equation 1 by 4 and equation 2 by 1 to eliminate the y term:
1. 12x + 4y = 48
2. x + 4y = 4
Now, subtract equation 2 from equation 1:
12x + 4y - (x + 4y) = 48 - 4
Simplifying:
11x = 44
Divide both sides by 11:
x = 4
Substitute the value of x into equation 2 to solve for y:
4 + 4y = 4
4y = 4 - 4
4y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
The correct graph of this system of equations would be two lines intersecting at the point (4, 0) on the coordinate plane.
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answers
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Answers
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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What is the difference?
-6-[11)
-17
5
5
17
Answers
Answer:
-17
Step-by-step explanation:
You have to simplify the expression!
Answer:
-17
Step-by-step explanation:
A circle has a radius of 12 mm.How long is it's diameter?
Answers
Answer:
6mm
Step-by-step explanation:
radius = 1/2 of diameter
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
-2/5 + 1/2 plz answer need help
Answers
Answer:
solution -2/5+1/2 =-2*2+1*5/5*2 =-4+5/10 =1/10
12)You can work at most 20 hours next week. You need to earn at least $108 to cover your weekly expenses. Your dog- walking job pays $12 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation. A)Define your variables. B)Write a system of inequalities to represent the situation. C)Graph the system and shade the feasible region. D)Give a combination of hours you could work at each job to satisfy both working at most 20 hours and earning at least 108 dollars.
Answers
(a) The variables are x and y where x is number of hours of dog- walking job and y is number of hours of job as a car wash attendant respectively.
(b) The linear inequalities is x + y ≤ 20 and 12x + 6y ≥ 108 .
(c) Graph of linear inequalities is mentioned below.
(d) We have to work 10 hours at each job to satisfy both working at most 20 hours and earning at least 108 dollars.
In arithmetic, difference represents the mathematical expression during which each side aren't equal. If the link makes the non-equal comparison between 2 expressions or 2 numbers, then it's called difference in Maths.(a) Let the number of hours of dog- walking job be " x " and number of hours of job as a car wash attendant be "y ".
(b) It is given that we can work at most 20 hours next week which is given by x + y ≤ 20. ......(1)
It is given that we can earn $12 per hour of dog- walking job and $6 per hour as a car wash attendant pays in order to get at least $108 in that week which is given by 12x + 6y ≥ 108. .......(2)
(c) The graph of the equation is given below.
Shading of equation (1) is represented by blue colour and shading of equation (2) is represented by green colour .
Area ABC represent the shaded area .
(d) Putting x = 20 - y in equation (2) , we get
12 ( 20 - y) + 6y = 108
240 - 12y + 6y = 108
60 = 6y
10 = y
Putt y = 10 in equation (1) , we get
x + 10 = 20
x = 10
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The following data shows promotion data from the Vancouver police department.
Promotion Status Male Female
Promoted (288) (36)
Not Promoted (672) (204)
a) What is the probability of being promoted or being female?
b) Given that a randomly selected officer was female, what is the probability that they will be promoted?
Answers
Answer:
the probability that a randomly selected officer who is female will be promoted is 0.051 or approximately 0.05.
Step-by-step explanation:
a) To find the probability of being promoted or being female, we need to add the number of individuals who are promoted and the number of females, but subtract the number of individuals who are both promoted and female, as we do not want to count them twice. So, the probability of being promoted or being female is:
(Promoted + Female - Promoted and Female) / Total number of officers
= (288 + 36 - 36) / (288 + 36 + 672 + 204)
= 288 / 1200
= 0.24
Therefore, the probability of being promoted or being female is 0.24.
b) We need to find the probability of being promoted given that the randomly selected officer was female. This is a conditional probability, which can be found using the formula:
Probability of being promoted given that the officer is female = (Probability of being promoted and female) / (Probability of being female)
We are given the number of females who were promoted, which is 36. So the numerator is 36. The denominator is the number of females, which is 36, plus the number of males who were not promoted, which is 672. So, the denominator is 36 + 672 = 708.
Probability of being promoted given that the officer is female = 36 / 708
= 0.051
Therefore, the probability that a randomly selected officer who is female will be promoted is 0.051 or approximately 0.05.
Determine the domain of the function F(x) =2-x/12x^2+8x
Answers
The domain of a function is the set of all possible values of x for which the function is defined. In this case, the function is defined for all values of x except those that make the denominator equal to zero, since division by zero is undefined.
So, to find the domain of the function, we need to find the values of x that make the denominator equal to zero and exclude them from the domain.
12x^2+8x = 0
4x(3x + 2) = 0
x = 0 or x = -2/3
Therefore, the domain of the function F(x) is all real numbers except 0 and -2/3. In interval notation, we can write the domain as:
(-∞, -2/3) U (-2/3, 0) U (0, ∞)
WILL MARK BRAINLIEST!! NEED ANSWER FAST PLEASE!!!!
Which choice best describes the data set?
positive, linear association
B)
positive, nonlinear association
©
negative, linear association
D
negative, nonlinear association
Answers
Answer:
positive,linear association
Pls help I need a good grade
Show your work
Answers
Answer:
2023- 548= 1475 on uniforms.
1475 divided by 29.50 is 50 uniforms.
WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.
Answers
Step-by-step explanation:
Greetings !
Firstly, find the class-midpoints (X) to solve for the mean.
Thus, mid points of each classes are
\(5.15.25.35.45\)
Solve, for p using mean grouped data formula
\( \frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2} = 24\)
multiply each values add them and solve for p.
\( \frac{15 + 60 + 25p + 105 + 90}{12 + p} = 24\)
make a cross multiplication
\(270 + 25p = 24(12 + p) \\ 270 + 25p = 288 + 24p\)
subtract 270 from both sides
\(270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18\)
subtract 24p from both sides
\(25p - 24p = 24p + 18 - 24p \\ p = 18\)
Also refer the attached image for further details
Hope it helps!
