Please help…. The table below shows the amount of money Linda spends for a craft demonstration
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to get the equation of any straight line, we simply need two points off of it, let's use those ones in the picture below.
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{53}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{53}-\stackrel{y1}{32}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{8}}} \implies \cfrac{ 21 }{ 7 } \implies 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{32}=\stackrel{m}{ 3}(x-\stackrel{x_1}{8}) \\\\\\ y-32=3x-24\implies {\Large \begin{array}{llll} y=3x+8 \end{array}}[/tex]
Related Questions
If the area of a circle is 31.36 pi, then what is its radius?
Answers
Answer:
5.6 units
Step-by-step explanation:
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Given that the area of the circle is 31.36π,
31.36π= πr²
Divide both sides by π:
31.36= r²
r²= 31.36
Square root both sides:
[tex]r = \sqrt{31.36} [/tex]
r= 5.6 units
What are the examples of METRIC SYSTEM AND COMMON FACTORS, ANGLES, And HEPTAGON sides?
Please i need your help!!
Answers
Answer:
hey
Step-by-step explanation:
plea se solve step by step solve
it's very urgent plzz
hi can u pls help asap ty
Answers
Answer:
this is your proper answer ...
If your good at compound interest i need help with this question 15
Answers
Answer:
4000
Step-by-step explanation:
10% of 3120 = 312
312 x 3 = 936
3120 + 936 = 4056
4056 rounded to the nearest thousanth = 4000
Mark as Brainliest
Solve 4x= If x=10
HURRY PLEASE ITS A TEST
Answers
Answer:
40
Step-by-step explanation:
4x
4(10)
Answer: 40
Step-by-step explanation:
Solve (2 - x)^2 < 4/25
Answers
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
y= -4(x+5)^2+4[tex]y=-4(x+5)^2+4[/tex]
Answers
9514 1404 393
Answer:
x = -6 or -4
Step-by-step explanation:
Maybe you want to know the x-intercepts. They are found by ...
0 = (x +5)² -1 . . . . . divide by -4
1 = (x +5)² . . . . . . . add 1
±√1 = x +5 . . . . . . square root
-5 ± 1 = x . . . . . . subtract 5
x = -6 or -4
__
The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.
I need help ASAP with this problem.
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Using the arc length formula,
[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]
30% of what number is 33.0
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Find cos(a) in the triangle.
Answers
Answer:
B.)
Step-by-step explanation:
cosine is adjacent/hypotenuse
24/25
Answer: 24/25 (choice B)
This is because cosine of an angle is the ratio of the adjacent and hypotenuse
So,
cos(angle) = adjacent/hypotenuse
cos(a) = 24/25
--------------
Extra info:
Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).
Evaluate m - 16 when m = 30
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[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14
6) Round off 78342 to the nearest thousand.
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Someone please help me out
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The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
More can be learned about dilation at brainly.com/question/3457976
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Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
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Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answers
Step-by-step explanation:
1. move the decimal to make the numbers whole
0.25 - move to the right 2 times - 25
0.044 - move to the right 3 times - 44
2. Multiply 25 * 44 = 1,100
3. Add decimal
you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.
Answer - 0.01100 or 0.011
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answers
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Step by step.
3(x + 2y) + 5x -y + 1
PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).
3x + 6y +5x -y +1
Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.
8x + 5y + 1
So B. Is your answer
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
8.8
Step-by-step explanation:
To find the hypotenuse...
a²+b²=c²
C is the hypotenuse, so we add the others...
8.4²+2.6²=c²
70.56+6.76=c
77.32=c
Now, square root c to bring it to its original position.
√77.32=8.8
Your answer is 8.8 yards.
Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?
Answers
At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.
How the ending withdrawal is determined?The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.
In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.
First Leg:N (# of periods) = 20 years
I/Y (Interest per year) = 6%
PV (Present Value) = $0
PMT (Periodic Deposits) = $1,800
Results:
FV = $66,214.06
Sum of all periodic payments = $36,000 ($1,800 x 20)
Total Interest = $30,214.06
Second Leg:N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $,
PMT (Periodic Withdrawal) = $-7500
Results:
FV = $46,331.15
Sum of all periodic payments = $-37,500 ($7,500 x 5)
Total Interest $17,617.09
Third Leg:N (# of periods) = 2 years
I/Y (Interest per year) = 6%
PV (Present Value) = $46,331.15
PMT (Periodic Withdrawal) = $-5000
Results:
FV (Final Withdrawal) = $41,757.68
Sum of all periodic payments = $-10,000 ($5,000 x 2)
Total Interest = $5,426.53
Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.
Learn more about the future value at brainly.com/question/27979326
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Solve the following system of equations:
−2x + y = 1
−4x + y = −1
(3, 1)
(−1, 3)
(−1, −3)
(1, 3)
Answers
Answer:
(1,3)
Step-by-step explanation:
[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]
below is the probability tree representing natalie selecting socks.
What is the probability that Natalie selects at least one black sock?
Answers
Answer:
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
Step-by-step explanation:
Given
The attached tree diagram
Required
[tex]P(Black \ge 1)[/tex] --- at least 1 black socks
To do this, we consider the following selections of black (b)
[tex]b = \{BB, BW, WB\}[/tex]
Where
[tex]B\to Black[/tex]
[tex]W\to White[/tex]
From the attached tree diagram, we have:
[tex]BB =\frac{25}{64}[/tex]
[tex]BW =\frac{15}{64}[/tex]
[tex]WB =\frac{15}{64}[/tex]
So:
[tex]P(Black \ge 1) = BB + BW + WB[/tex]
[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]
Take LCM
[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
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Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
Passes through
(-8, 3) and (8, -1).
Answers
Answer:
Slope = Y2 -Y1 / X2 - X1
Slope = -1 -3 / 8 --8
Slope = -4 / 16
Slope = -1 / 4
To calculate the equation we fill in this equation:
(y - y1) = slope • (x -x1)
We only need to choose 1 point so we'll choose (-8, 3)
(y - 3) = -1 / 4 * (x --8)
So the Equation equals
y = -1 / 4 x -2 + 3
y = -1 / 4x +1
Source:
http://www.1728.org/distance.htm
Step-by-step explanation:
HELP ASAP
Which three-dimensional figure is formed when the square is
rotated about the line?
O cube
O rectangular prism that is not a cube
O cone
O cylinder
Answers
Answer:
a cylinder.
Step-by-step explanation:
I hope this helps
Plzz help me Well Mark Brainliest if correct!
,
Answers
Answer:
B) 3:00
Step-by-step explanation:
Its B the answer is 3:00
Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.
Answers
Answer:
yes
Step-by-step explanation:
51 to nearest ten is 50
37 to nearest ten is 40
50 * 40 = 2000
and it's an estimate so yes
A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.
Answers
Answer:
y = 8x + 12
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
The problem just handed you everything you need! Awesome!
Replace m with 8. Replace b with 12.
If a line crosses the y-axis at (0, b), then b is the y-intercept.
Select the correct answer.
Write an expression to represent the sum of three times the square of a number and —7.
In your expression, what is the value of the constant?
Ο Α.
3
O B.
7
OC.
2
OD.
1
Answers
Answer:
3x^2-7
-7 is the constant
3 is the coefficient
x is the variable
Step-by-step explanation:
(3x^2)+(-7)
hello i need help with question 5 please i need help
Answers
a) The total cost of buying the car with HST is given as follows: $36,160.
b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.
c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.
How to obtain the costs?
The costs are obtained applying the proportions in the context of this problem.
The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.
Hence the total cost of buying the car, considering the HST tax, is given as follows:
1.13 x 32000 = $36,160.
The costs for leasing the car are given as follows:
$1,000 down payment.48 payments of $425.Hence the total cost for leasing the car is given as follows:
1000 + 48 x 425 = $21,400.
Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:
36160 - 21400 = $14,760.
More can be learned about proportions at https://brainly.com/question/24372153
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At the movies, my friend bought a drink and popcorn. The total cost of my friend's purchase was $15. The drink cost $6. Which equation represents the total cost of my friend's purchase, along with the cost of the popcorn?
15 - 6 = p; p = 21
p + 15 = 6; p = 9
6 + 15 = p; p = 21
p = 15 - 6; p = 9
Answers
Answer:
The correct equation is: 6 + p = 15; p = 9.
Step-by-step explanation:
In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.
Answer:
Option D)
Step-by-step explanation:
Overall cost of both the items = $15
Cost of the drink = $6
Cost of popcorn = p
To Find : The equation that represents the Overall cost and the cost of the Popcorn
p + 6 = 15
p = 15 - 6
p = 9
Hence , the correct answer is p = 15 - 6; p = 9
if the perimeter of an equilateral triangle is 12 inches ,what is the side length
Answers
Answer:
4 in.
Step-by-step explanation:
By definition of a equilateral triangle, all sides and interior angle measurements are congruent.
Essentially, all interior angles = 60°
By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4
4 inches is the side length.
~
Answer:
4
Step-by-step explanation:
12 ÷ 3 = 4
all the sides are equal