Find the equation of the line that is perpendicular to the given line and passes through the given point.
y=-x
y=---9; (13,0)
2
The equation is y =
(please help me)
Answers
Answer:
y = 2x - 26
Step-by-step explanation:
y = [tex]-\frac{1}{2}[/tex] x - 9 ⇒ slope m = [tex]-\frac{1}{2}[/tex] ⇒ slope of ⊥ line m = 2
(13, 0)
y - 0 = 2(x - 13)
y = 2x - 26
Related Questions
Autumn buys 9 bottles of orange juice at the corner store for a total cost of $10.71. If each bottle costs the same amount, how much is each bottle of juice?
Answers
Answer:
1.19$ each
Step-by-step explanation:
10.71/9= 1.19
PLS HELP WILL MARK BRAINLYEST
Step 1: Constructing and analyzing scatterplots
You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.
Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°
a) Make a scatterplot of the data above. (2 points)
b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points)
c) How would you describe the correlation in the data? Explain your reasoning. (2 points)
d) What are the independent and dependent variables? (2 points)
Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat and calorie content of items on your menu. Some of the menu items are included in the graph below.
a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not? (2 points)
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2 points)
c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points? (2 points)
d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. (3 points)
Step 3: Making predictions using data
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.
Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91
a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)
d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)
Answers
Answer:
Chile you didn´t even try like why so many dang questions
Step-by-step explanation:
A .
b . Yes,I do 1,110 is a cluster because it’s a very large number for 52 degrees and 189 is because it’s a very large number for 16 degrees.
c . There is a negative correlation.
D . The dependent variable is sales and independent variable is the temperature.
A. yes my partner is correct because the line goes diagonally upwards.
B. The trend line lies on the points (0,100) and (15,900)D .
C . Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
D. Yes do see a relationship. This line move one direction up. notice how the dots move up like an escalator.
I didn´t finish the rest but i gave you some of it :)
Answer:
I can confirm the guy above me is correct ; )
Step-by-step explanation:
yur moma
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
Answers
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
Answer:
x=30 y=67 z=83
Step-by-step explanation:
The solution is therefore (30,67,83).
What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
A. 87.92 cubic feet
B. 124.54 cubic feet
C. 175.84 cubic feet
D. 212.72 cubic feet
Answers
Answer:
C) 175.84 cubic feet
Step-by-step explanation:
V=πr^2h is the formula I used
I plugged in the numbers and solved
The volume of the tree with a radius of 2 feet and a length of 14 feet is
176 feet³.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The tree is in the form of a cylinder.
Radius = 2 feet
Height = 14 feet
Now,
The volume of the tree.
= πr²h
= 22/7 x 2 x 2 x 14
= 22 x 2 x 2 x 2
= 22 x 8
= 176 feet³
Thus,
The volume of the tree is 176 feet³.
Learn more about cylinder here:
https://brainly.com/question/15891031
#SPJ2
Jermaine Samson earns 6 1/2% commission
on sales of $5,600 selling flat screen TVs.
What is his commission?
$36,400
$3,640
$364
Answers
Answer:
364
Step-by-step explanation:
0.065 x 5,600
Answer:
$364
Step-by-step explanation:
multiply 0.065 by 5,600
Someone Help Me Please. ?
Answers
Answer:
c
Step-by-step explanation:
Answer:
The answer is B I think.
Step-by-step explanation:
otra forma de representar 42/9
Answers
Answer:
42/9=14/3
Step-by-step explanation:
Simplificación de Fracciones
Una fracción de la forma x/y puede ser representada de infinitas maneras, siempre y cuando produzcan el mismo resultado.
Por ejemplo, las fracciones 5/3 y 10/6 son equivalentes porque producen el mismo resultado. Obsérvese que tanto el numerador como el denominador en la segunda están multiplicados por 2.
Igualmente si tenemos 10/6, podemos obtener 5/3 dividiendo a ambos por 2.
La fracción 42/9 puede convertirse a una fracción equivalente dividiendo ambos términos por 3 para obtener 14/3
segment E prime F prime has endpoints located at E'(1, 0) and F'(1, 3). segment EF was dilated by a scale factor of one half from the origin. Which statement describes the pre-image? segment EF is located at E (0.5, 0) and F (0.5, 1.5) and is half the size of segment E prime F prime. segment EF is located at E (1, 0) and F (1, 3) and is the same size as segment E prime F prime. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime. segment EF is located at E (3, 0) and F (3, 9) and is three times the size of segment E prime F prime.
Answers
9514 1404 393
Answer:
C. segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime
Step-by-step explanation:
If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.
E(2, 0) = 2×E'(1, 0)
F(2, 6) = 2×F'(1, 3)
Answer:
segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.
Step-by-step explanation:
just took test and got it correct
A statistics class has 50 students and among those students, 42 are business majors and 8 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistics student is a business major or likes grilled cheese.
Answers
The answer is 0.94 !!!
The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that the statistics class has 50 students and among those students, 42 are business majors, and 8 like grilled cheese. Of the business majors, 3 like grilled cheese.
The probability will be calculated as:-
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
[tex]P(AUB)=\dfrac{42}{50}+\dfrac{8}{50}-\dfrac{3}{50}[/tex]
[tex]P(AUB) = \dfrac{50-3}{50}[/tex]
[tex]P(AUB)=\dfrac{47}{50}[/tex]
P(AUB) = 0.94
Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
An ant can travel at a constant speed of 980 cinches every 5 minutes. At this rate٫how far can the ant travel in 7 minutes?
Answers
divide 980 in. by 5 minutes to figure out how many inches an ant moves in a minute. that ends up to be 196 in/minute. from there, multiply 196 in. by seven, leaving the sum as 1372. hope this helps, please mark brainliest and have an amazing day
Answer:
This answer is only an estimate but I think the ant could travel 1372 inches in 7 minutes.
Step-by-step explanation:
The problem states that the ant could travel 980 inches every 5 minutes so, if you divide 980 by 5 you should get 196. So this means that every minute the ant could travel 196 inches, and the question is, how far can the ant travel in 7 minutes? So to get the answer you should only need to multiply 196 to 7 then you should get 1372. Hope this helps and if you could mark this as brainliest. Thanks
Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls are the same type of paper towel which is the best deal?
Answers
Answer:
The best deal is 12 rolls for $10.80
Step-by-step explanation:
2.97 divided by 3= $0.99 No
12 rolls for $10.80= $0.90 = $21.6 for 24 rolls
20 rolls for $18.40=$0.92=
0.92 times 4= $3.68
18.40+$3.68=$22.08 for 24 rolls
Can someone help with this one? You get 35 points
Answers
Answer:
the answer is d
Step-by-step explanation:
3 n - 5 p + 2 n = 10 p for n
Answers
Answer:
n = 3p
hope this works
Find the missing dimension.
Use the scale 1: 15.
Item: Pipe
Model: Length: 5 ft
Actual: Length:___ft
Answers
Answer:
75ft
Step-by-step explanation:
Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.
This ratio can be written as:
[tex]\frac{1ft}{15ft}[/tex]
From this we just set up another ratio in relation to the original. In this one we will be solving for x.
[tex]\frac{1ft}{15ft}[/tex] x [tex]\frac{5ft}{x}[/tex]
After solving for x we find that the actual model should be roughly 75ft.
Hope this helps!
-HM
What is 3 ÷ 2/5 ? I need your help please
Answers
Answer:
[tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Answer:
0.3 or 3/10
Step-by-step explanation:
Multiply. Do not round your answer. Be sure to include a decimal point in your answer.
1.7 · 11.59 =
Answers
Answer:
19.703
Step-by-step explanation:
Answer:
Step-by-step explanation:
11.59
* 1.7 Remove the decimal point 3 spaces (remember to add that at the end)
1159
* 17
________
8113
11590
_________
19,703 add the decimal space => 19.703
if y varies directly as x and y= 6 when x= 10 find x when y=18
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5y is an equation.
2x + 4 + 9 is an equation.
We have
if y varies directly as x.
This can be written as,
y ∝ x
y = kx _____(1)
From (1),
y = 6 when x= 10
6 = 10k
k = 6/10
k = 0.6
Now,
y = 0.6x
when y = 18,
18 = 0.6x
Divide both sides by 0.6.
x = 18/0.6
x = 180/6
x = 30
Thus,
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
triangles ABC and DEF are similar
find the length of segment DF
Answers
Answer:
2.68
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio
[tex]\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68[/tex]
What is the complete factorization of 36y2 - 1?
A.
6(y + 1)(y- 1)
B.
(6y + 1)(6y-1)
O c. (6y-11²
OD. (-6)(y + 6)
Answers
Answer:
c
Step-by-step explanation:
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
Answers
Answer:
The answer is 12
Step-by-step explanation:
i got it right
Answer:
the answer is 12
Step-by-step explanation:
A washing machine marked for $320 was sold at $280. What was the percentage of discount for the washing machine?
Answers
Answer:
the person who bought it saved 40 dollars and the percentage saved was 12.50 i just used a discount calculator on google
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
Notebooks are priced 3.20 for 4 notebooks Pencils are priced 4.80 for 12 pencils calculate the unit rate for cost per pencil. Make sure you show your reasoning
Answers
Answer:
to find the answer for 1 pencil you just need to divide
Step-by-step explanation:
3.20$ divide by 4=0.8 /each pencil cost 0.8
4.80$ divide by 12=0.4 /each pencil cost 0.4
What is the value of g(f(-5))?
Answers
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
Answer:
The correct answer is A. 5.
Step-by-step explanation:
I got it right on the Edmentum test.
If y varies directly as the cube of x, and y=
54 when x = 3, find y when x= 5.
Answers
Answer:
250
Step-by-step explanation:
From the question given above,
y varies directly as the cube of x. This can be written as
y ∝ x³
y = Kx³
Next, we shall determine the value of the constant (K) as follow:
y = 54
x = 3
K =?
y = Kx³
54 = K × 3³
54 = K × 27
Divide both side by 27
K = 54/72
K = 2
Finally, we shall determine the value of y when x is 5. This can be obtained as follow:
x = 5
K = 2
y =?
y = Kx³
y = 2 × 5³
y = 2 × 125
y = 250
Therefore, the value of y is 250
12 % of 140 = with explanation
Answers
Answer: 16.8
Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)
Answer:
16.8
Step-by-step explanation:
12 % of 140
12/100×140
12×140/100
1680/100
16.8
So 16.8 is the answer
PLEASE HELP!!!
At a basketball game, 95% of people attending were supporting the home team, while 5% were supporting the visiting team. If 532 people attending the game supported the home team, what was the total number of people attending the game?
Answers
Answer:3800
Step-by-step explanation:
sorry if i got it wrong :/
Help help help help help
Answers
Answer:
4.5 = 13.5
11/2 = 16 1/2
36 = 12
46.5 = 15.5
Step-by-step explanation:
hope this helped!
The dimensions of a box are 3 cm × 5 cm × 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm3
Answers
Answer:
its 6.6 (I think???)
Step-by-step explanation:
the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.
The dimensions of the new box are 7 cm, 9 cm, and 11 cm.
How to solveThe original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.
Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]
This cubic equation can be solved for x, and the only real solution is x = 4.
Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.
Read more about cubic equation here:
https://brainly.com/question/1266417
#SPJ2
Natalie walked 3/5 miles in 1/2 hour. How fast did she walk, in miles per hour?
Answers
Answer:
1.2 mph
Step-by-step explanation:
PLEASE MARK BRAINIEST
Let p be "Today is Friday" and let q be "Today is Wednesday."
Write in words the disjunction of the two statements. (Select all that apply.)
A. Today is Friday or Wednesday.
B. Today is not Friday or Wednesday.
C. Today is Friday or today is Wednesday.
D. Today is neither Friday nor Wednesday.
E. is not Friday or today is not Wednesday.
Answers
Answer:
Today is neither Friday nor Wednesday.A and C
I think this is correct
: )