Answer:
1.5
Step-by-step explanation:
9 times 4 = 36
1.5 times 4 = 6
If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
We know that
36 / 9 = 6 /x
Cross multiply;
36 · x = 9 · 6
Simplify;
36x = 54
Divide each side by 36;
36x ÷ 36 = 54 ÷ 36
Simplify;
x = 1.5
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Which type of motion is this an example of?
150 m/sec
1.acceleration
2.velocity
3.speed
Answer:
3. Speed
Step-by-step explanation:
acceleration is measured in m/s^2
velocity is speed plus direction
speed in measured in m/s
could u vote me brainliest plz, im trying to level up. thx:)
Randy is checking to determine if the expressions 2 x + 2 + 4 x and 2 (3 x + 1) are equivalent. When x = 3, he correctly finds that both expressions have a value of 20. When x = 2, he correctly evaluates the first expression to find that 2 x + 2 + 4 x = 14.
Please find attached full question
Answer and explanation:
Find attached answer and explanation
Which table shows a constant rate of change?
Answer:
C
Step-by-step explanation:
It goes up by 225 each time. The others go up by different numbers each time.
|60| ___ |-60|
A =
B
Answer:
A= B/3600
B= 3600A
Step-by-step explanation:
There are 8/5 polka dots many are there?
Answer:
1 3/5
Step-by-step explanation:
this is a mixed number
8/5= 1 3/5
A soccer goalie kicks the soccer ball. The quadratic function y = −16t2 + 64t gives the time t seconds when the soccer ball is at a height 0 feet. How long does it take for the soccer ball to return to the ground?
Answer:
The correct answer is 4 sec
Step-by-step explanation:
The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.
What is a polynomial function?A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.
The highest power to a variable is the degree of the polynomial expression.
When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
How do we solve the given question?We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.
We are asked how long it takes for the soccer ball to return to the ground.
To calculate the time for the ball to return to the ground, we take height y = 0.
Our equation therefore is,
0 = -16t² + 64t
or, 16t² - 64t = 0
or, t² - 4t = 0
or, t(t-4) = 0
∴ Either, t = 0; Or, t-4 = 0 ⇒ t = 4.
∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.
∴ The ball takes 4 seconds to return to the ground.
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Stan swam 100 meters in 2 minutes. At this rate, how many meters would he swim in 20 minutes? Plss answer asap (30 brainlist for the correct answer)
Answer:
1000 metres
Step-by-step explanation:
2 mins= 100 meters
20mins=
100meters × 20mins
2 mins
=1000 meters
hello people ~
factorise: x² + 9x + 20
Answer:
[tex](x+4)(x+5)[/tex]
Step-by-step explanation:
To factorize [tex]x^2+9x+20[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot 20=20[/tex]
[tex]b=9[/tex]
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
[tex]\implies x^2+4x+5x+20[/tex]
[tex]\implies (x^2+4x)+(5x+20)[/tex]
Factor the parentheses:
[tex]\implies x(x+4)+5(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies (x+4)(x+5)[/tex]
[tex]\\ \rm\rightarrowtail x^2+9x+20[/tex]
Use mid term splitation[tex]\\ \rm\rightarrowtail x^2+4x+5x+20[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+5(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+5)(x+4)[/tex]
Done!
1) The cost of carpeting a floor with area 120 m² is Rs 3840. What is the cost of
carpeting the floor if its area is increased by 10² m??
Answer: 4,160
Step-by-step explanation:
Simplify this question
2/4x+4 - 2x/2
Answer:
[tex] \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
Step-by-step explanation:
[tex] \frac{2}{4x + 4} - \frac{2x}{2} [/tex]
[tex] = \frac{2 \times 2}{(4x + 4) \times 2} - \frac{(2x) \times (4x + 4) }{2 \times (4x + 4)} [/tex]
[tex] = \frac{4}{8x + 8} - \frac{8 {x}^{2} + 8x }{8x + 8} [/tex]
[tex] = \frac{4 - (8 {x}^{2} + 8x) }{8x + 8} [/tex]
[tex] = \frac{4 - 8 {x}^{2} - 8x }{8x + 8} [/tex]
[tex] = \frac{4 \times (1 - 2 {x}^{2} -2x ) }{4 \times (2x + 2)} [/tex]
[tex] = \frac{1 - 2 {x}^{2} -2x }{ 2x + 2} [/tex]
help with functions and relations
Answer:
It does NOT represent a function
Step-by-step explanation:
This DOES NOT represent a function because in the diagram 1 is connected to 8 and -3. If it was a function the number would connect to only one of them.
Which decimal is greater than 62.24
A. 61.99
B. 62.07
C. 62.15
D. 62.27
Answer:
the answer should be D
Step-by-step explanation:
62.27 is greater by 0.03
Help please 9a
I can’t solve it
Step-by-step explanation:
answer in the image here I hope it's good for you
Find the volume of the cylinder. Find the volume of the cylinder with the same radius and double the height
Answer:
πr² x h and πr² x 2h
Step-by-step explanation:
Volume of Cylinder = base area x height
Volume of Cylinder = πr² x h
Volume with same radius but double the height:
Volume = πr² x 2h
Need help ASAP! Tysmm
Answer:
Square
A=bh
A=6(6)
A=36m²
Triangle
A=½bh
A=4(3)(½)
A=12(½)
A=6m²
total
36-6=30m²
Write m2 - 20m + 72 = -3 in vertex form.
Answer:
yes I am telling you about the India is so much of drugs that this is because I 6
Step-by-step explanation:
just see attached answer
cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place
Answer:
339.3m²
Step-by-step explanation:
Formula is volume= X radius² X height
First find radius, which is 1/2 of the diameter. 6/2= 3 is the radius
Then set up the equation: ()(3²)(12)
Put into calculator to get 339.3 (rounded to the tenths)
The volume of the cylinder will be 339.12 cubic meters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The cylinder has a base diameter of 6 m and a height of 12 m. Then the radius of the cylinder is calculated as,
r = d / 2
r = 6 / 2
r = 3 m
Then the volume of the cylinder is calculated as,
V = 3.14 x 3² x 12
V = 339.12 cubic meters
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Mrs Atkins is going to choose two students from her class to take part in a competition.
She can choose from 16 girls and 14 boys.
(a)
Work out the number of different ways of choosing one girl and one boy.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
[tex]16\times 14=224[/tex]
Therefore, the required number of different ways is 224.
a. The number of different ways of choosing one girl and one boy is 226
Calculation:Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
So, the number should be
[tex]= 16 \times 14[/tex]
= 224
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1,000 to 1200 what is the percentage difference?
Answer:
20%
Step-by-step explanation:
200÷1000×100
.......
Using Euclid's algorithm, find the HCF of 1651 and 2032. Express
the HCF in the form (1651m + 2032n) for some integers m and n.
Answer:
Since 2032 gt 1651, we divide 2032 by 1651 to get 1 as quotient and 381 as remainder. step 2. Since the remainder 381≠0 , we divide 1651 by 381 to get 4 as quotient and 127 as remainder.
Step-by-step explanation:
Euclid algorithm lemma, a = bq + r where 0 ≤ r < b
From Euclid algorithm lemma, 2032 = 1651 × 1 + 381
Using lemma for 1651 and 381, e.g., 1651 = 381 × 4 + 127
Similarly, use lemma for 381 and 127, e.g., 381 = 127 × 3 + 0
Hence, HCF = 127
Now, 127 = 1651M + 2032 N
⇒127 = (127 × 13)M + (127 × 16)M
⇒1 = 13M + 16 N
Here many solutions possible because we have one equation contains two variable.
Assume M = 5 and N = -4
Then, 13 × 5 + 16 × -4 = 65 – 64 = 1
So, HCF of 1651 and 2032 in the form of 1651M + 2032 N is [1651(5) + 2032(-4)]
Triangle JKL is similar to triangle MNO. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
O
11
K
15
M
58.8
Answer:
43.1
Step-by-step explanation:
Similar shapes have sides of the same proportions. This means that one shape is just an enlargement of the other.
In this case, triangle MNO is an enlargement of triangle JKL so we can work out a scale factor.
To work out the scale factor, we can do 58.8 ÷ 15 = 3.92. To find side NO, all we have to do is multiply 11 by 3.92 to get 43.12 ≈ 43.1 (rounded to the nearest tenth).
Hope this helps!
Help me someone please
Answer: 8 1/8 in
Hope this helps, tell me if thats wrong!
Write a linear equation that passes through
the point (2, -9) and has a slope of -5 in
slope-intercept form.
Answer:
f(x)=-5(2)-9
Step-by-step explanation:
linear equation- f(x)=m(x)-y
x- the x intercept
y- the y intercept
m- slope
x=-5, y=-9 , m=-5
Can some one help
It is about a scatter plot
Answer:
1: 3 billion
2: 1/1/14
Step-by-step explanation:
Hope this helps! Have a nice day!
The basketball team earned $215 by washing cars. They want to buy basketballs that cost $39 each. How many can the team buy?
Answer:
The team can buy 5 basketballs
Step-by-step explanation:
215 / 39 = 5.51
or
5 with a remainder of 20 dollars.
We simply cannot buy 0.51 of a basketball, unless you bring a saw...
Answer:
they can buy 5 balls, and they will have 20 dollars left over.
Step-by-step explanation:
to solve, divide 215 by 39, so 215/39 which gives us 5.512. and since we cant have half of a ball, and we do not have enough capital to buy another ball, we settle for the 5. it isnt important, but to get the leftover money, just multiply 5 by 39, or 5x39 to get 195. then subtract the original value to get 20 dollars.
hope this helps, please rate and mark as brainlest.
WILL MARK YOU BRAINLIEST!!!!! Please help me with my geometry.
Answer: i believe your answer is c! i hope that helps!
Step-by-step explanation: im sorry ifs not, im not the gratest at this:(
Is the square root of 105 closer to 10 or 11. Explain?
Answer:
You can say that √105 is somewhere between 10 and 11 because 105 lies between the squares of 10 and 11 (100 and 121, respectively). However, 105 isn't a perfect square, so you can't really find its exact square root. If you have a calculator with you, you can solve for an approximate of √105 which is 10.246950766.
Step-by-step explanation:
What is the difference of
(1/3-6m)-(1/4n-8)
The equation is (1/3-6m)-(1/4n-8).The equation's difference is -6m-1/4n+25/3.
Given that,
The equation is (1/3-6m)-(1/4n-8)
We have to find the difference of the equation.
What is difference?
Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math.
The difference in mathematical notation is minus (-).
To difference between whole numbers and natural numbers, take the following steps:
The values are initially arranged vertically according to their place values. Additionally, make sure that the larger number is on top and the smaller one is at the bottom.
Starting at the ones place, begin removing the numerals.
Take the equation,
(1/3-6m)-(1/4n-8)
Taking least common multiple.
(1-6×3m)/3-(1n-8×4)/4
By multiplication
(1-18m)/3-(n-32)/4
Taking the least common multiple.
4(1-18m)-3(n-32)/3×4
By multiplication
(4-72m-3n+96)/12
Now by adding
(-72m-3n+100)/12
By dividing
-6m-1/4n+25/3
Therefore, The difference of the equation is -6m-1/4n+25/3.
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PLEASE HELP !!!!!!!!!
What is the equation of the line that passes through the point (2, -1) and has a slope of ?
Answer:
y = 3/2x - 4
Step-by-step explanation: