Answer:
4
Step-by-step explanation:
The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .
So 4 is the constant of proportionality
Answer:
A) 4
Step-by-step explanation:
3 times 4 is twelve. 1 times 4 is 4. 7 times 4 is 28. All of the numbers on the left can be multiplied by 4 to get the answer on the right.
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.
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
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°
Ir[ Fairbanks, the temperature at 6:00 AM on Sunday is - 48°F. The weather forecast
predicts that a warming trend will raise the temperature to 0°F.
If the temperature rises an average of 16° a day, how many days will it take to get to 0?
Answer:
The answer is 3 days
Step-by-step explanation:
Divide 48/16=3
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
Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.
Which of the following represents this function written in intercept form
y= - x2 – x+ 6
A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)
Answer:
v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12
v = 12x²-14x+12 standard form
Step-by-step explanation:
2x + 2y + z = 2
-x + 3y + z = -2
3x + 2z = 7
Answer:
[tex]x=1,\:\\z=2,\:\\y=-1[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2x+2y+z=2\\ -x+3y+z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}-x+3y+z=-2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x+6y+2z=-4\\\\\begin{bmatrix}2x+2y+z=2\\ -2x+6y+2z=-4\\ 3x+2z=7\end{bmatrix}\\\\-2x+6y+2z=-4\\+\\\underline{2x+2y+z=2}\\8y+3z=-2\\\\\begin{bmatrix}2x+2y+z=2\\ 8y+3z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}2x+2y+z=2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:6x+6y+3z=6\\\\\mathrm{Multiply\:}3x+2z=7\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+4z=14\\\\[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ 6x+4z=14\end{bmatrix}\\\\6x+4z=14\\-\\\underline{6x+6y+3z=6}\\-6y+z=8\\\\\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ -6y+z=8\end{bmatrix}\\\\\mathrm{Multiply\:}8y+3z=-2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:24y+9z=-6\\\\\mathrm{Multiply\:}-6y+z=8\mathrm{\:by\:}4\:\mathrm{:}\:\\\quad \:4z-24y=32\\\\\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ -24y+4z=32\end{bmatrix}\\\\-24y+4z=32\\+\\\underline{24y+9z=-6}\\13z=26[/tex]
[tex]\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ 13z=26\end{bmatrix}\\\\Solve\:13z=26\:for\:z\: : , z= 2\\\\\mathrm{For\:}24y+9z=-6\mathrm{\:plug\:in\:}z=2\\\\Solve\:24y+9\times\:2=-6\:for\:y\:,y=-1\\\\\mathrm{For\:}6x+6y+3z=6\mathrm{\:plug\:in\:}z=2,\:y=-1\\\\Solve\:6x+6\left(-1\right)+3\times\:2=6\:for\:x\:,x=1\\\\x=1,\:z=2,\:y=-1[/tex]
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:
Morgan born is paid $11.20 an hour for a 40-hour week.Her estimated benefits are 33% of her wages.What is value of her total yearly employee benefits?
Answer:
Как ты это делаешь
Step-by-step explanation:
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
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;
https://brainly.com/question/3798851
#SPJ5
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
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
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
I need help with number 8 please
Is the simplified form of 2^3x2^6 rational
Answer: it is not rational.
Step-by-step explanation: 2 to the power of 3 is 8. 2 to the power of 6 is 64. 64x8 is 512. 512 is not a perfect square therefore it is a irrational number.
Solve for b. Show your work: 3b+2(b-3)=4 HELP
Answer:
b=2
Step-by-step explanation:
First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.
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:
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
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
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.
https://brainly.com/question/24062595
Mike buys a dvd set of a television series.each dvd has 6 episodes. There are 24 episodes. How many dvds are in the set?
Answer:
4 in one set
Step-by-step explanation:
So if 24%6= 4
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.
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:
A frame shop charges according to both the amount. Of framing needed to surround the picture and the amount of glass needed to cover the pictures
a. Find the area and perimeter of the trapezoid-shaped framed picture to the right
b. Identify whether the frame has to do with perimeter or area and the same with the glass
a. The area of the picture is
b. The perimeter is
Answer:
A: The area of it would be the equation (10x8)x(26)= 2,080 Inches
The perimeter would be (10+32+10+20)= 72
B: Perimeter on the top part of the frame
C: The area of it would be the equation (10x8)x(26)= 2,080 Inches
D: (10+32+10+20)= 72
Plz mark me brainsliestttt!!
What are the six-digit grid coordinates for spot elevation 192
Answer:
750450
Step-by-step explanation:
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.