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Find the Lowest Common Multiple of 3, 5 and 6.
A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet. After 3 seconds, the ball is traveling at 96 feet and after 4 second the ball is traveling 128. Is this a proportional relationship?
Answer:
yes
because the descent of the ball is 32m per second
Step-by-step explanation:
To determine if the relationship is proportional, determine the descent of the ball per second
after 2 seconds = 64 / 2 = 32
after3 seconds = 96/3 = 32
after 4 seconds = 128 / 4 = 32
the relationship is proportional
. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)
Answer:
(0.5,3)
Step-by-step explanation:
Hi there!
We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.
The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points
to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint
[tex]x_{1}[/tex]=5
[tex]y_{1}[/tex]=9
[tex]x_{2}[/tex]=-4
[tex]y_{2}[/tex]=-3
now substitute into the formula
so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]
substitute 5 and -4 into the formula
[tex]\frac{5+-4}{2}[/tex]
do the addition on the numerator
[tex]\frac{1}{2}[/tex] or 0.5
now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]
substitute 9 and -3 into the formula
[tex]\frac{9+-3}{2}[/tex]
do the addition on the numerator
[tex]\frac{6}{2}[/tex] or 3
Therefore the midpoint is (0.5,3)
Hope this helps! :)
How do I solve this? (3^0y)^2x2(xy)^0
Answer:
(y ^2 ) (x ^2)
Step-by-step explanation:
Increase 14187.13 by 14.5
Answer:
14201.63
Step-by-step explanation:
14187.63
+ 14.50
=14201.63
A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.
Answer:
So, the difference is 44874.
Step-by-step explanation:
Multiplication of 4986 by 45
= 4986 x 45 = 224370
Multiplication of 4986 by 54
= 4986 x 54 = 269244
So, the difference in results is
= 269244 - 224370 = 44874
What is the y-intercept of function f?
Answer:
B
Step-by-step explanation:
When x=1, we will use the second equation
-(1)+1 = 0
My friend just asked me do you know Doomhah? Is this one of them you know what jokes?
Answer:
can you make it a bit clear to understan?
On the image below, which is the correct answer?
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities
Answer:
[tex]x\le \:-1[/tex]
Step-by-step explanation:
[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]
[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]
[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]
[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]
[tex]5x\le \:-5[/tex]
[tex]x\le \:-1[/tex]
x = -1
3(-2) ≤ ½(0) - 6
-6 ≤ 0 - 6
-6 ≤ -6
This is true.
x = -2
3(-3) ≤ ½(-1) - 6
-9 ≤ -½ - 6
-9 ≤ [tex]-\frac{13}{2}[/tex]
This is also true.
Therefore, x ≤ -1.
Which one could NOT be the probability of an event occuring?
A. 23
B. 3/4
C. 2.3
D. 0
Please help !!!
Answer:
D
Step-by-step explanation:
there is zero chance of it happening
Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p
Answer:
Value of p is 3
Step-by-step explanation:
One of the root is 1.
So, putting 1 in the place of x in the given equation,
px²-4x+3p-8=0
or, p-4+3p-8=0
or, 4p-12=0
or, 4p=12
or, p=3
Answered by GAUTHMATH
A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
The equation that can be used to find the value of s is
× s = ??
The speed of the car is ??
miles per hour.
PLEASE HELP (also thanks for the answers on the last couple of questions yall)
Answer:
Step-by-step explanation:
This is a distance = rate times time problem where you are calling the rate "speed" instead. So our formula for distance then is distance = speed times time which is
d = st
The distance traveled in 126 miles and the time it took to do this was 3 hours. Filling in those values gives us
126 = s3 or
126 = 3s since multiplication is commutative. Solve for s by dividing both sides by 3 to get
s = 126/3 which is
s = 42 miles per hour
Share £35 in the ratio 4:1
Answer:
£28 : £7
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 = 5 parts
Divide the quantity by 5 to find the value of one part of the ratio
£35 ÷ 5 = £7 , then
4 parts = 4 × £7 = £28
£35 = £28 : £7 in the ratio 4 : 1
Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102
Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?
Answer:
8.8%
Step-by-step explanation:
We first divide the new amount by the original and close it with brackets.
Our one year will be shown as 1/1 as an indices
(761.60/700)^1/1
= 1.088
We then convert it to 0.088 and times it by 100.
0.088×100= 8.8% Compound interest rate.
This is correct as:
700×1.088= 761.6
Have a nice day! :)
if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis
Answer:
f(x) = -3x
Step-by-step explanation:
f(x) = -3x
4. Find the perimeter of quadrilateral PQRS
part ion even know of the hardest test
Given:
The equation of a line is:
[tex]y=-\dfrac{5}{7}x+2[/tex]
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=-\dfrac{5}{7}x+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{5}{7}[/tex]
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{5}{7}\times m_2=-1[/tex]
[tex]m_2=\dfrac{7}{5}[/tex]
Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:
[tex]y-y_1=m_2(x-x_1)[/tex]
[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]
[tex]y+3=\dfrac{7}{5}(x+5)[/tex]
Using distributive property, we get
[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]
[tex]y+3=\dfrac{7}{5}x+7[/tex]
[tex]y=\dfrac{7}{5}x+7-3[/tex]
[tex]y=\dfrac{7}{5}x+4[/tex]
Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.
a girl 65 marks out of 80. What percent mark did she have?
Answer:
the marks obtained by a girl in percentage is 81. 25%
Answer:
81.25%
Step-by-step explanation:
100 (65/80)
will give brainliest!
Solve for x. Exclude any extraneous solutions:
4/3x+5/4=3/x
Answer:
x = 4/3
Step-by-step explanation:
[tex]\frac{4}{3x} + \frac{5}{4} = \frac{3}{x}[/tex]
take lcm of the denominator
lcm = 12x
[tex]\frac{4*4 +5*3x}{12x} = \frac{3}{x}[/tex]
[tex]\frac{16+15x}{12x} = \frac{3}{x}[/tex]
do cross multiplication
x(16 + 15x) = 3*12x
16x + 15x^2 = 36x
15x^2 = 36x - 16x
15x^2 = 20x
x^2 = 20x /15
x*x = 4x/3
x = 4x/3/x
x = 4x/3 *1/x
x = 4x/3x
x = 4/3
find the compound ratio of the following
a) 2/15 : 3/7 and 5/8 : 14/27
please help me
give in step by step
Answer:
1/12 : 2/9Step-by-step explanation:
Compound ratio is the multiplication of the ratios:
2/15 : 3/7 and 5/8 : 14/27Multiply to get:
(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9Given ratios,
2/15 : 3/7 and 5/8 : 14/27
Then to find the compound ratio,
We have to multiply,
→ (2/15 × 5/8) : (3/7 × 14/27)
→ 10/120 : 42/189
Now simplify the ratio,
→ 1/12 : 2/9
Thus, required ratio is 1/12 : 2/9.
HELP ASAP
Which of the following is NOT a statistical question?
a. How old are the members of the football team?
b. Who is the captain of the football team?
c. What is the average 40-meter dash time for players on the football team?
d. How tall are the players on the football team?
Answer:
who is the captain of the football team
Step-by-step explanation:
i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is
Helppp me please asapppp
Answer:
y=-2/7x-2
Step-by-step explanation:
Just move the 2x to the other side, then divide both sides by 7.
In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.
Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 - B - C. Therefore,
angle A = 180 - 11 - 75 so
angle A = 94. And the Law of Sines is
[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get
600sin94 = asin11 and solve for a:
[tex]a=\frac{600sin94}{sin11}[/tex] gives you that
a = 3136.85
What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic
Answer:
Option D
Step-by-step explanation:
Given polynomial :-
=> 2x - 4x³ -7 + 6x²
Here the highest degree of variable is 3 ,
Therefore it is a cubic polynomial .
(2x6)3/4 using rational exponents
Answer:
the answer is 9 divided by 1
Question is in picture
Answer:
obtion b and d
Step-by-step explanation:
4x + 5 = -4x + 5
4x + 4x = 5 - 5
8x = 0
x = 0/8
x = 0 (this has solution)
-4x + 5 = -4x - 4
-4x + 4x = -4 + 5
0 = -1 (this has no solution)
5x + 5 = -4x - 4
5x + 4x = -4 - 5
9x = -9
x = -9/9
x = -1 (this has solution)
-4x + 5 = -4x - 5
-4x + 4x = -5 -5
0 = -10 (this has no solution)
Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a
Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft