Answer:
a. 6
b. 12
c. [tex] y = 6x + 12 [/tex]
Step-by-step explanation:
a. Using two pairs of values given, (0, 12) and (1, 18)
Rate/slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 12}{1 - 0} = \frac{6}{1} = 6 [/tex]
Unit rate/slope (m) = 6
b. The starting value is the y-intercept (b). It is the value of of y when x = 0.
From the table, when x = 0, y = 12.
Therefore the starting value (b) would be 12.
c. The equation can be written in slope-intercept form, [tex] y = mx + b [/tex], where,
m = slope/rate = 6
b = starting value/intercept = 12.
Plug in the values into the equation
The equation would be:
✅[tex] y = 6x + 12 [/tex]
what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
Please help me ASAP
=====================================================
Explanation:
This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.
See the diagram below.
---------------------
A nonvisual approach will have you plug each of the coordinates into the given inequality.
For instance, choice A has x = 0 and y = 2 pair up which plug in to get
y < (-2/3)x + 2
2 < (-2/3)*0 + 2
2 < 2
which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because
y < (-2/3)x + 2
0 < (-2/3)*0 + 2
0 < 2
which confirms the answer we got when we used the visual approach.
State the solution(s)
x²+12x+32=0
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below.
Find the coefficient of variation for each of the two sets of data, then compare the variation.
Bank A (single line): 6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8Bank B (individual lines): 4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7(Round to one decimal place as needed.)
Answer:
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
Step-by-step explanation:
Bank A
6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{6.6+6.7+6.7+6.8+7.0+7.3+7.5+7.7+7.8+ 7.8}{10}\\Mean =7.19[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=0.461[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{0.461}{7.19} \times 100=6.4[/tex]
Bank B
4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{4.0+5.5+5.8+6.2+6.6+ 7.6+ 7.7+8.5+9.4+9.7}{10}\\Mean =7.1[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=1.718[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{1.718}{7.1} \times 100=24.2[/tex]
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52.
.Item. .Price Per Pound.
.Fruit Chews. - $4.70
.Jelly Beans. - $2.35
.Chocolate. - $3.50
.If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer : 11.80$
Step-by-step explanation:
He spends 8.70$ on Fruit chews and..
4.50 $ on jelly beans
add them up then subtract them by the amount of money he already has
BRAINLIST ???
Answer:
He had 10.85 left
Step-by-step explanation:
Fruit chews 4.7 x 1.6 = 7.52
Jelly beans 2.35 x 2.6 = 6.11
7.52 + 6.11 + 0.52 = 14.15
25 - 14.15 = 10.85
Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels. Group of answer choices Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Answer:
No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
I belive the is the answer, I took this quiz as well. The line is straight but it does not go throught the origan.
If 300 cones were sold, how many were chocolate?
Answer:
90
Step-by-step explanation:
4.28 divide by 7 equals ?
Answer:
0.611428571
Step-by-step explanation:
[tex]4.28 \div 7 \\ \\ = \frac{4.28}{7} \\ \\ = 0.611428571 \\ [/tex]
Evaluate x=2
F(x)=2x+4
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
Step-by-step explanation:
[tex]1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches[/tex]
There are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Important information:
There are 39.37 inches in 1 meter.Convert meter to inches:Using the given information,
1 meter = 39.37 inches
Using this conversion, we get
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times (8\cdot 10^4)[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times 80000[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3149600[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3.1496\cdot 10^6[/tex] inches
Therefore, there are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Find out more about 'Convert meter to inches' here:
https://brainly.com/question/2284603
help plz rn fast fastvlook at pic!
Answer:
9/15/19
Step-by-step explanation:
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
A number cube has a volume of 27 mm3. What is the length of one edge of the cube
The duration of a professor's class has continuous uniform distribution between 49.2 minutes and 55.5 minutes. If one class is randomly selected and the probability that the duration of the class is longer than a certain number of minutes is 0.468, then find the duration of the randomly selected class, i.e., if P ( x > c )
Answer:
The duration of the randomly selected class is 52.6 minutes.
Step-by-step explanation:
The random variable X is defined as the duration of a professor's class.
It is provided that, [tex]X\sim Unif(49.2, 55.5)[/tex].
The pdf of X is:
[tex]f_{X}(x)=\frac{1}{55.5-49.2};\ 49.2<X<55.5[/tex]
It is provided that the probability that the duration of the class is longer than c number of minutes is 0.468.
That is, P (X > c) = 0.468.
Compute the value of c as follows:
[tex]P(X>c)=0.468\\\\\int\limits^{55.5}_{c}{\frac{1}{55.5-49.2}}=0.468\\\\\frac{1}{6.3}\times [x]^{55.5}_{c}=0.468\\\\55.5-c=2.9484\\\\x=52.5516\\\\x\approx 52.6[/tex]
Thus, the duration of the randomly selected class is 52.6 minutes.
how did u get this and what is it I need help so bad
Answer:
y=6x+5
Step-by-step explanation:
I am not sure if this is the answer but it's worth a try...
12 1/2 gal= qt
can you help me plsssssss
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
answerrrr plssssssssss
Answer:
no solution
Step-by-step explanation:
Which graph is a possible graph of the points (5, -3) and
(-5, -3)?
Answer:
y=-3
I hope this is good enough:
Help please urgent thanks
Answer:
The answer is 2/10 and 2/10
(A)
HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each other.
DO
Which statement can John use this figure to prove?
Every isosceles triangle is a right triangle.
The base angles of any triangle are congruent.
The points on the perpendicular bisector of a side of a triangle are equidistant from all of the vertices of the triangle.
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Answer:
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Step-by-step explanation:
It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.
Meaning
If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .
The first three choices are incorrect because
1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.
2) The base angles of any triangle can be different or same .
3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.
The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.
Recall:
The perpendicular bisector theorem states that any point on a perpendicular bisector of the side of a triangle is equidistant from the two endpoints or vertices of the side the perpendicular bisector bisects.From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.
Therefore, the statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.Learn more here:
https://brainly.com/question/4137998
1. Define y-intercept of a line?
2. In the slope intercept form: y=mx+b, what do the variables x, y, m, b stand for?
3. Define Slope of a line. Define Rise and Run. What are the four types of slope?
1. The y-intercept of a line is on a graph where a line crosses through the y axis.
2. b is the y- intercept and m is the slope. For example something using y=mx+b could be written like y=3x+2 if the y-intercept is 2 and the slope is 3.
3. The slope is what describes the direction and steepness of a line on a graph. Rise and run mean that when you find a slope you must first find the rise over run. You must go from one dot on a graph to the next by first going up or down to where that you are on the same number on the y axis that the next point is, next go on the x axis and go left or right until you have reached the next point. For example if you went up 3 and over 2, the rise would be 3 and the run would be 2. The slope in that situation would be 3/2.
Hope this helps you.
Do the steps below on the graphing calculator:
Graph the points (2,6) and (6,8).
Define the equation y = mx + b.
Define the variable m = 1.
Define the variable b = 10.
What happens if you increase the value of m from 1 to 2?
✔ The line gets steeper.
Find the values of m and b that cause the graph to pass through the two points plotted.
m = ✔ 0.5
b = ✔ 5
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
i got 15 points out of 20 what is my grade
Answer:
75% (Letter grade = C)
Step-by-step explanation:
15 ÷ 20 = 0.75Multiply by 100: 0.75 × 100 = 75So, your grade was a 75% (letter grade = C)Answer:
75%
Step-by-step explanation:
We need to find out what your grade is.
Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.
1. [tex]5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}[/tex]
Now we need to turn this fraction into a decimal.
In order to do that we need to divide our 3 by our 4.
2. [tex]\frac{3}{4} = .75[/tex]
Finally, we need to turn this decimal into a percentage.
In order to do this we must multiply our decimal by 100.
3. .75 * 100 = 75%
Feel free to give brainliest.
Have a great day!
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
1. Write 1/5 as a decimal
2. Write 1/5 as a percent
3. Write 10% as a fraction
4. Reduce 35/100 to lowest terms
5. Write 35/100 as a percent
6. Write 8/20 as a percent
7. Write 8/20 as a decimal
Answer:
1.5
1.5%
10/0
7/20
35.1%
8.20%
8.20
Step-by-step explanation:
there u go
Math plz help
Geometry
Answer:
Okay
Step-by-step explanation:
Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.
So,
12x° + 8x° = 180°
20x°= 180°
x°= 180/20
x°= 9°
Hope you understand. Thank you
math picture help me
Answer:
D
Step-by-step explanation:
6. Solve the problem. A carousel has a radius of 18 feet and takes 31
seconds to make one complete revolution. What is the linear speed of
the carousel at its outside edge? Express the answer in feet per second.
If necessary, round the answer to two decimal places.
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]
So, the linear speed of the carousel is 3.64 ft/s.
slope 1/4 and y intercept is -5
point slope
Answer:
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