Answer:
Slope = 6.000/2.000 = 3.000
x-intercept = 10/3 = 3.33333
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
x=10/3
Step-by-step explanation:
0+2=-3x+12
2=-3x+12
3x=12-2
3x=10
Find the area of the shape either enter an exact andwet In teems of pi use 3.14 for pi and enter ur ander as a Devimal
Answer:
6 units
Step-by-step explanation:
HOPE THIS HELPED
Divide and check your answer. 6/938
The stem-and-leaf plot shows kilometers walked by participants in a charity benefit walk. Use
it to answer the questions.
Kilometers Walked for Charity
12
3
3 6
7
9
9
13
1
1
4
5
5
14
0
0
2
3
3
8
8
9
15
2
2
2
.
2
3
5 5 7
16
4
5
5
99
17
3
5
Key: 123 means 12.3
a. How many people participated in the walk?
b. How many of the walkers traveled more than 14 kilometers?
Answer:
a)35 people participated in the walk
b)22 people walked more than 14 km
Step-by-step explanation:
12|3 3 6 7 9 9
13| 1 1 4 5 5
14| 0 0 2 3 3 8 8 9
15| 2 2 2 2 2 3 5 5 7
16| 4 5 5 9 9
17|3 5
Key: 12|3 means 12.3
a)
Count the number of leaves
Number of leaves = 35
So,35 people participated in the walk
b)
Count the number of people who walked more than 14 km
Exclude 14|0
14| 2 3 3 8 8 9
15| 2 2 2 2 2 3 5 5 7
16| 4 5 5 9 9
17|3 5
22 people walked more than 14 km
What is equation of a line with a slope of 5 and passes through the point of (2,4)
Answer:
y-4=5 (x-2)
Step-by-step explanation:
it's point-slope form.
y-y1 = m or slope (x-x1).
y1 being the y coordinate and x1 being the x coordinate.
if you need slope-intercept it is y=5x-6
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answer:
c
Step-by-step explanation:
Answer:
b c d e
Step-by-step explanation:
took the test
1. How many years would it take for a person in the United States to eat 855 pounds of apples
2. How many years would it take for a person in the United States to eat 1,120 pounds of turkey?
3. If 6 people in the United States each eat the average amount of popcorn for 5 years, how many quarts of popcorn will they eat?
4. In the United States, a person eats more than 40,000 pounds of bread in a lifetime if he or she lives to be 80 years old. Does this statement make sense, or is it nonsense? Explain.
Answer:
1) A person would need approximately 51 years to eat 855 pounds of apples.
2) A person would need approximately 69 years to eat 1120 pounds of turkey.
3) 6 people in the United States will eat 1260 quarts in next 5 years.
4) The statement is a nonsense.
Step-by-step explanation:
1) According to the German page Statista, a person in the United States had a per capita consumption of 16.91 pounds of fresh apples in 2018/19. If we consider that a person consume at same rate, then the time taken is obtained by dividing total amount of fresh apples by per capita consumption rate:
[tex]x = \frac{855\,pd}{16.91\,\frac{pd}{yr} }[/tex]
[tex]x = 50.562\,years[/tex]
A person would need approximately 51 years to eat 855 pounds of apples.
2) According to the German page Statista, a person in the United States had a per capita consumption of 16.40 pounds of turkey in 2018/19. If we consider that a person consume at same rate, then the time taken is obtained by dividing total amount of turkey by per capita consumption rate:
[tex]x = \frac{1120\,pd}{16.40\,\frac{pd}{yr} }[/tex]
[tex]x = 68.293\,years[/tex]
A person would need approximately 69 years to eat 1120 pounds of turkey.
3) Accoring to the US page Aghires, a person in the United States had a per capita consumption of 42 quarts of pop corn in 2017/2018. The total consumption of the groups equals the product of number of people, time and per capita consumption. That is:
[tex]x = 42\,\frac{qt}{yr}\times 6 \times 5\,yr[/tex]
[tex]x = 1260\,quarts[/tex]
6 people in the United States will eat 1260 quarts in next 5 years.
4) According to the US newspaper The South Florida Reporter, a person in the United States had a per capita consumption of 53 pounds of bread in 2017/2018. Consumption during 80 years can be estimated by knowing the product of time and per capita consumption. That is:
[tex]x = 80\,yr \times 53\,\frac{pd}{yr}[/tex]
[tex]x = 4240\,pd[/tex]
Which is only equivalent to about 10 % of the alleged indicator and, consequently, the statement is a nonsense.
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28
Answer:40
Step-by-step explanation:
Answer:
B. 40
Step-by-step explanation:
aapeexxxxxab
What are the six-digit grid coordinates for spot elevation 192
Answer:
750450
Step-by-step explanation:
what are 3 ways you used energy today?
Answer:
Heating and cooling our homes, lighting office buildings, driving cars and moving freight, and manufacturing the products we rely on in our daily lives are all functions that require energy.
Answer:
driving cars, heating and cooling our homes,and manufacturing products we use everyday such as clothes and toothpaste.
Step-by-step explanation:
Pls answer fast Y=Mx+b for x
Answer:
y=mx+b
y=mx+b-b
y-b=mx
y-b/m = mx/m
y-b/m = x
Answer:
x = (y - b)/M.
Step-by-step explanation:
y = Mx + b
Mx = y - b
x = (y - b)/M.
A school has 3 differnt after-school clubs. The table below shows the ratios of girls to boys in each club:
Which club has the greatest ratio of girls to boys?
Pls answer I have a test today!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
Dance m8
Step-by-step explanation:
Answer:
a. Dance
Step-by-step explanation:
We will find the ratios' common denominators and compare them
Dance: 2/3 girls to boys ratio
soccer: 3/5 girls to boys
Chess: 8/15 girls to boys
Lets find a common factor
all of the denominators (bottom numbers evenly go into 15)
2/3=10/15
3/5=9/15
8/15= 8/15 because it already has 15 as a denominator
The number with the greatest numerator is gonna be our answer;
10/15 or 2/3
if m<1= w+5 and m<2=3w +7 if <1 and <2 form a linear pair what is the value
Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42
Please help me!! Thank you
3g+h=18 2g+3h=26 what is h and what is g
Answer:
g=4 h=6
Step-by-step explanation:
3g +h = 18 (Equation 1)
2g+3h=26 (Equation 2)
From equation 1
3g+ h =18
h= 18-3g (equation 3)
substitute equation 3 into equation 2
2g+3h= 26
2g+ 3(18-3g)= 26
2g+3×18+3(-3g)=26
2g+54-9g=26
9g-2g= 54-26
7g=28
7g÷7 = 28÷7
g= 4
substitute g into equation 1
3g+h=18
3(4)+ h= 18
12+h= 18
h=18-12
h= 6
Answer:
g = 4; h = g
Step-by-step explanation:
When solving an equation with two variables, the goal is to isolate at least one of the variables so that you can plug it in to the equation to get the other. There are multiple ways to solve this so I'll just be giving one.
3g + h = 18
2g + 3h = 26
In these two equations, I notice that if I multiply the first equation by 3, the two equations will have the same values of h, so I'd be able to isolate g:
9g + 3h = 54
2g + 3h = 26
Now, subtract the second equation from the first to isolate g:
9g + 3h = 54
-2g + 3h = 26
= 7g = 28
= g = 4
Now that we have solved for g, we can plug it into either of the equations and solve for h:
2(4) + 3h = 26
= 8 + 3h = 26
= 3h = 18
= h = 6
And in conclusion, g = 4 and h = 6.
Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas
Answer:
random numbers
Step-by-step explanation:
because they are randomly picked
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
What is random experiment?Random experiments are repeated multiple times to determine its likelihood.
The number of times an experiment is repeated is better described as number of trials.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
To Learn more about Random numbers, click here;
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Please help (9th grade math) Will give brainliest
Answer:
jo jjejejejej
Step-by-step explanation:
nenenebejeje
Answer:
y=25 x=11
Step-by-step explanation:
20 POINTS!! can someone please help me? i will give brainiest to the right answer.
Step-by-step explanation:
Since lines p || q are parallel to one another, let us find all the 8 angles,
1 and 7 are vertically opposite angles and they are equal;
since angle 1 is 75°, then angle 7 is 75°
Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;
So,
angle 5 = 75°
Angle 5 is vertically opposite to angle 3,
So,
angle 3 = 75°
To find angle 4,
angle 4 and angle 5 are angles on a straight line;
sum of angles on a straight line = 180°
angle 4 + angle 5 = 180°
angle 4 = 180 - 75 = 105°
Angle 2 and Angle 4 are corresponding angles and they are equal;
So angle 2 = 105°
Angle 4 and angle 6 are vertically opposite and they are equal;
angle 6 = 105°
Angle 6 and 8 are corresponding angles, they are equal;
angle 8 = 105°
If a campaign worker walks 6 kilometers knocking on voters' doors for a candidate before an
election, how many miles did the campaign worker walk?
Answer with step-by-step explanation:
6 km = 3.72822715 mi
Answer:
Step-by-step explanation:
Thirty three campaign workers called 12,375 eligible voters to encourage them to do their civic duty. Which rate best represents the relationship between the eligible voters reached by each campaign worker?
The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
Twenty times y is at most 100 in interval notation
Answer:
[tex]y\in (-\infty ,5][/tex]
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation ".
20 times y means, 20y
Atmost means an inequality which is [tex]\le[/tex]
ATQ,
[tex]20\times y\le 100[/tex]
i.e.
[tex]20y\le 100\\\\y\le 5[/tex]
We can also write it as :
[tex]y\in (-\infty ,5][/tex]
Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].
The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
What is interval notation?The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.
"Twenty times y is at most 100 in interval notation ".
Here, 20 times y means, 20y at most means an inequality.
Therefore,
The inequality is;
[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]
Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
To know more about Interval notation click the link given below.
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How do I solve for X?
Answer
50
Step-by-step explanation:
60 is supplementary to 120 so 60+70=130
and a triangle adds up to 180 so 180-130 would be 50
HELP PLEASE!!!!!
Checkpoint #4: Find the X-intercept and y-intercept
of a Graph
5
1
2.
4
3
2
2
-1
1
4
-3
2
1
3
4
5
-5
-4
-3
-2
0
2
4
5
-10
-
- 2
-2
-3
Answer:
Step-by-step explanation:
Step-by-step explanation:
hope this helps! good Night!!
Ashley’s math average decreased 12 points to 78. Then she completed an extra credit assignment and raised her final average by 5 points. Write an equation to show how Ashley’s average changed.
What was her starting average?
points
How much did her average increase or decrease, overall?
points
What was her final average?
points
Answer:
1. 90
2. -12 +5
3. 83
Step-by-step explanation:
90 -12 + 5 = 83
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation:
Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.
I need help with number 8 please
Find the rate of increase:
Original amount: $2000
Final amount: $3000
Answer:
21
Step-by-step explanation:
Answer:
67%
Step-by-step explanation:
the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate
Consider a conical tank, where the height of the tank is 12 meters, and and the diameter of the tank at the top is 8 meters. Water is leaking out of the bottom of a conical tank at an constant rate of 20,000 LaTeX: \text{cm}^3 / \text{min}cm 3 / min. Water is also being pumped in to the tank at a constant unknown rate (call it LaTeX: kk). The water level is currently 8 meters high, and the water level is rising at a rate of 2 LaTeX: \text{cm} / \text{min}cm / min. Find the rate LaTeX: kk at which water is being pumped in to the tank.
Answer:
The answer is below
Step-by-step explanation:
The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm
Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:
r/h = radius of tank/ height of tank
r/h = 400/1200
r = h/3
[tex]\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\[/tex]
[tex]\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min[/tex]
A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?
Answer:
It is changing at -11 ft
Step-by-step explanation:
The distance d is given by
d = √x²+(90-y)²
We have to differentiate
dy/st = 25ft
dx/dt = -15ft
The question says after 2 seconds
Y = 25x2 = 50ft
X = -15x2 = -30ft
Then we calculate rate of change of distance. From the calculations I did, I arrived at
(1/2√900+1600).[900-2000]
= -1100/2x50
= -1100/100
= -11ft
Please check attachment to help you understand the answer better as it is more detailed.
The distance between these two runners changing 2 s after the ball is hit 11 ft
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A baseball diamond is a square with sides 90 ft long.
A batter is at bat, with runners at first and second base.
At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.
Simultaneously, the runner on second base runs to third base at 15 ft/s.
The distance d is given by
[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]
We have to differentiate
[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]
The question says after 2 seconds
[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]
Then we calculate the rate of change of distance will be
[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]
More about the differentiation link is given below.
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