Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using y2 - y1 / x2 - x1
36 - 21 = 15
15 - 10 = 5
15/5 = 3, so the slope (m) is 3.
Now, plug into point-slope form: y - y1 = m (x - x1)
y - 21 = 3 (x - 10)
Simplify
y - 21 = 3x - 30
y = 3x - 9
I hope this helps!!
Emilio practices the piano 20 minutes a day. To identify the total number of minutes he practices, he uses the function rule: y = 20x. Find f (8) A. 28 B. 40 C. 80 D. 160
Answer:
D. 160
Step-by-step explanation:
This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.
We are given the equation:
y=20x
We want to find f(8). Therefore, we must substitute 8 in for x.
y=20(8)
Multiply 20 and 8
y=160
Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.
Answer:
160
Step-by-step explanation:
What is the length of AC?
Answer:
A
Step-by-step explanation:
We can see that the two triangles are similar, and are in a 17:1 ration since 51/3 = 17
Now we can set up the equation
144-x = 17x
adding x to both sides we get
144 = 18x
dividing by 18 we get
x = 8
Now we plug x = 8 back in and get
144-8 = 136
Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average
Answer:
the answer is D
Step-by-step explanation:
Because of how the students grade ar goung not down but up were the y or x
The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.
When does a straight line show a relationship between variables?The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.
If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.
Find out more on straight-line relationships between variables at https://brainly.com/question/1078661.
#SPJ2
Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]
[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]
[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]
Therefore the mass of the element is given by:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]
If the initial mass is 760 g and the final mass is 15 g, we have:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]
The time it'd take for the element to have 15 g of mass is approximately 68 min.
the point slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line
Answer:
y= 1/2x + 2.5
Step-by-step explanation:
We already have the point-slope form of the line.
Convert into Slope Intercept form:
y-3=1/2(x-1)
[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]
nothing to do + tired = ????
Answer: Go and do something :)
Step-by-step explanation:
Get off your phone and get the motivation to fo and find something to do for now :)
simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
£880 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Krutika get?
Answer:
264 pounds
Step-by-step explanation:
Write the question in the form of a ratio:
Natasha: Krutika: Jim
1:3:6
Now, we divide the amount of 880 in the ratio.
there are 10 parts in total.
1 part = 880 divided by 10 = 88.
since Krutika gets 3 parts, she gets 88 x 3 = 264
4 (9x+6) = 36x - 7 what does x =
The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven
in fact, there is more than one way to arrange the numbers in such a way in the circle. Determine all different arrangments. Note that we will consider two arrangments to be the same if one can be obtained from the other by a series of reflections and rotations
Answer:
[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Re-state the problem in an easier way to set up a permutation problem
"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"
The series above can be represented again, in form of:
7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1
with a, b, c, d, e, f are non-negative integers.
=> 3 numbers are multiply of 7 plus 1
=> 3 numbers are multiple of 7 minus 1
Step 2: Perform the counting:
For the 1st number, there are 6 ways to select
To satisfy that each pair of numbers creates a multiple of 7, then:
For the 2nd number, there are 3 ways left to select
For the 3rd number, there are 2 ways left to select
For the 4rd number, there are 2 ways left to select
For the 5th number, there are 1 way left to select
For the 6th number, there are 1 way left to select
=> In total, the number of possible ways to select:
N = 6 x 3 x 2 x 2 x 1 x 1 = 72
However, these numbers are located around a circle, each option is counted twice.
=> The final number of possible ways:
N = 72/2 = 36
Hope this helps!
:)
Need answers quick. Find the endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−6,−6) Midpoint: (−2,0)
Answer: The second endpoint is (2,6)
Step-by-step explanation:
[tex]\frac{-6 +x}{2}[/tex] = -2 solve for x
-6 +x = -4
+6 +6
x= 2
[tex]\frac{-6+y}{2} = 0[/tex]
-6 + y = 0
+6 +6
y= 6
Which measure is always the 50th percentile?
mean
median
upper quartile
Answer:
median
Step-by-step explanation:
the median is literally the middle number--half the numbers are higher, half the numbers are lower.
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
Expand and simplify . 5(3m+6n)-4(11m-8n) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-29m+62n
Step-by-step explanation:
5 (3m+6n)-4 (11m-8m)
15m+30n-44m+30n
15m-44m +32n+30n
-29m +62n
!35 POINTS! Find the total surface area of the following prism!
Answer:
152
Step-by-step explanation:
Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank
Which of the following quadrilaterals have diagonals that bisect each other?
Check all that apply.
Answer:
All A. B. C. D.
Step-by-step explanation:
A B C D are all the correct answers
¯\_(ツ)_/¯
Find the focus of the parabola 2x^2=-y
Answer:
(0, -1/2)
Step-by-step explanation:
Rewrite this as y = -2x^2. Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.
Comparing y = -2x^2 with
y = 4px^2, we see that 4p = -2, or p = -1/2.
The focus of this parabola is below the x-axis: (0, -1/2).
1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.
Answer:
4
p= √(y-qr)
Step-by-step explanation:
y=p² +qr
p= -5, q=3, r= -7
y= (-5)²+3*(-7)= 25- 21=4p²= y - qr
p= √(y-qr)
Draw the line with equation x+y=2
Answer:
Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.
Step-by-step explanation:
A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal
Answer:
D and A are equalStep-by-step explanation:
Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices
[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]
From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.
Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns
What is the slope of the line graphed below
Answer: D 2
Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2
Answer:
Slope= 2
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate the slope.
please mark me brainliest :)
if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting
Answer:
A = 2 1/2 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 3 * 5/6
A = 5/2 ft^2
A = 2 1/2 ft^2
Answer:
A=2.5 ft^2
Step-by-step explanation:
A=3
A=3(5/6)
A=2.5 ft^2
Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP
Answer:
Correct option: A -> AA postulate
Step-by-step explanation:
In the figure we can see that in triangle ABC we have:
A = 53°
B = 72°
And we can see in the triangle LMN that:
L = 53°
M = 72°
We have two pairs of angles (A - L and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.
So the correct option is A: AA postulate.
i think of a number, take away 1 and multiply it by 3
Answer:
X-3, not sure. Try that.
Answer:
[tex]3(x - 1)[/tex]
Step-by-step explanation:
Thinked number = x
take away = -1
[tex]x - 1[/tex]
multiply it by 3
[tex]3(x - 1)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
rewrite 5√4 * √2 as a single radical.
Answer:
the 2nd
Step-by-step explanation:
[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]
Answer:
The next answer is 6x^4
Step-by-step explanation:
Look how many points u get on this.
What is the mean of this data set?
12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18
A 13.50
B 14.00
C 14.75
D 15.75
Answer:
C. 14.75
Step-by-step explanation:
To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:
12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18
Total numbers in the set: 12
All numbers added together: 177
177 / 12 = 14.75
brainliest is always epic :)
Answer:
Step-by-step explanation:
1. First add all the listed numbers which equals to 177
2. Divide 177 by the amount of number given above so there are
12 numbers
So 177÷12= 14.75
Answer is c
Hello, i would love help since math is my worst subject ;
Answer:
4,5,6
Step-by-step explanation:
(x)+(x+1)+(x+2)= 15
3x + 3 = 15
3x = 12
x = 4
Answer:
Three consecutive numbers are: 4, 5, 6,
Step-by-step explanation:
Let three consecutive numbers be x , (x +1) , (x +2 )
x + x + 1 +x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Three consecutive numbers are: 4, 5, 6,
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c
2c + 3
3c + 3
2c + c – 3
2c – c + 3
2c + c + 3
Answer:
3c + 3
hope this helps.
Answer:
3c + 3
and
2c + c + 3
what is the equation of the circle that is centred at the origin and passes through the point (-3,4)
Answer:
The correct answer is (x)² + (y)² = r².
Step-by-step explanation:
The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.
Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.
Therefore, your equation is x² + y² = 25.
