Answers
B, D and E are proportional
A, C, and F are not proportional
y = 3+x .... not proportional
y = 1.6x .... proportional
y = 3/(4x) .... not proportional
y = x .... proportional
y = 12x .... proportional
y = 2x+1 ... not proportional
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Explanations:
Anything in the form y = k*x is a direct proportional equation. As x goes up, so does y. The same happens if x decreases, and we'll have y also decrease. They go up together or down together. This is where the "direct" comes from. Specifically they change the same amount each time (hence the term "proportional").
For something like y = 1.6x, we have k = 1.6
In the equation y = x, we have y = 1x in reality so k = 1 here.
Lastly, y = 12x has k = 12.
----------------------
The other equations are not in the form y = kx. Whenever we have y = mx+b, with b nonzero, then y = mx+b is not proportional. The value of b must be 0 for it to fit y = kx form. This rules out y = 2x+1 and y = 3+x or y = x+3.
The equation y = 3/(4x) is an inversely proportional equation in the form y = k/x. It cannot be written as y = kx. Note how x is in the denominator for y = 3/(4x) while the same can't be said for y = kx. Inversely proportional equations have x increase and y decrease, or vice versa. They go in opposite directions.
Write 10:5 as a ratio in its simplest form
Answer:
its simplest form for the question is 2:1
The equation of line l is -3y+4x=9 Write the equation of a line that is parallel to line l and passes through the point (-12,6). a) -3y+4x-69=0 b)-3y+4x-69=0 c)-3y+4x-39=0 d) 3x-3y+66=0
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
- 3y + 4x = 9
3y = 4x - 9
Divide both sides by 3
y = 4/3x - 3
Comparing with the above formula
Slope / m = 4/3
Since the lines are parallel their slope are also the same
So slope of the parallel line l is also 4/3
Equation of the line using point (-12 , 6) is
y - 6 = 4/3(x + 12)
Multiply through by 3
That's
3y - 18 = 4(x + 12)
3y - 18 = 4x + 48
We have the final answer as
4x - 3y + 66 = 0Hope this helps you
sin theta=-1/2 then cos theta=
Answer:
cos 30°= 0.866Step-by-step explanation:
Step one:
Applying the SOH CAH TOA principle
assuming all dimensions are in cm
Step two:
Given data
opposite= 1 cm
hypotenuse= 2 cm
we can now solve for θSin(θ)= opp/hyp
Sin(θ)= 1/2
Sin(θ)= 0.5
θ= sin-1 0.5
θ= 30°
hence from tables cos 30°= 0.866
The tee for the fifth hole on a golf course is 375 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
158.73 yd
Step-by-step explanation:
A picture of the situation is needed, investigating I could find a related one, in the same way the important thing is the solution, the data can be exchanged. I attach the drawing.
Let use the formula of the law of cosine:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos C, to solve the problem
Let the third side be c, we replace:
c ^ 2 = 375 ^ 2 + 240 ^ 2 - 2 * 375 * 240 * cos 16 °
c ^ 2 = 198225 - 173027.10
c ^ 2 = 25197.9
c = 158.73
So the distance is 158.73 yd
Answer: the right answer is 195.4
Step-by-step explanation: this guy does not what's happening
I NEED HELP PLZ Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
19
Step-by-step explanation:
Jenny wants to know the perimeter of the bottom of her tent. It is a rectangle with side lengths of 11 ft. And 7 ft. Which is the perimeter of the bottom of her tent?
Answer:
36 ft.
Step-by-step explanation:
11+11+7+7=
22+14= 36
Answer:
36 ft
Step-by-step explanation:
The rectangle's sides lengths are 7 ft and 11 ft, wich are the width and the length.
The formula of the perimeter is:
P= 2w+2L with w the width and L the length
P= 2*7+2*11
P= 14+22
P= 36 ft
The perileter is 36 ft
Heather used a graphing utility to find the equation of the line of best fit in this scatter plot. VA PW1ALG131_Using Models from Data After reading equation of the line from the graphing utility, Heather wrote in her notebook that the line of best fit is represented by the equation y = 0.77x + 1.34. Heather likely an error when writing the equation of the line in her notebook because the slope and the y-intercept of the equation she recorded.
The answers are did not make, and both the slope and the y-intercept match if the line of the best fit is represented by the equation y = 0.77x + 1.34
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have a line of best fit:
y = 0.77x + 1.34
Here the slope of the line is 0.77 and y-intercept is 1.34
From the graph and line of best fit, we can say heather did not make an error when writing the equation of the line in her notebook because both the slope and the y-intercept match the slope and the y-intercept of the equation she recorded
Thus, the answers are did not make, and both the slope and the y-intercept match if the line of the best fit is represented by the equation y = 0.77x + 1.34
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Answer:
Heather likely did not make an error when writing the equation of the line in her notebook because both the slope and the y-intercept match the slope and the y-intercept of the equation she recorded.
Analyze the diagram below and complete the instructions that follow.
Find the value of M angle 2 + M angle 4
Answer:
200°
Step-by-step explanation:
<2 = 90° (right angle)
<3 = 70° (vertically opposite angles)
<4 + <3 = 180° ( angles on a straight line)
<4 + 70 = 180°
<4 = 180° - 70°
<4 = 110°
<2 + < 4
= 90 ° + 110° = 200°
Question 5 of 10
Which of the following is the converse of the statement "If it is summer, then
it is warm outside"?
A. If it is warm outside, then it is summer.
B. If it is not warm outside, then it is summer.
O
C. If it is warm outside, then it is not summer.
D. If it is not warm outside, then it is not summer.
hs
Answer:
If it is warm outside, then it is summer
Step-by-step explanation:
To find the converse, interchange the hypothesis and the conclusion
"If it is summer, then it is warm outside"
If it is warm outside, then it is summer
Answer:
A. If it is warm outside, then it is summer
Step-by-step explanation:
statement "If it is summer, then it is warm outside" : warm=summer
A. If it is warm outside, then it is summer. : warm = summer ✓
B. If it is not warm outside, then it is summer. : not warm = summer x
C. If it is warm outside, then it is not summer. : warm =not summer x
D. If it is not warm outside, then it is not summer. : not warm = not summer x
I REALLY NEED HELP! PLEASE help me...
Answer:
A. The domain is (1,∞), and the range is (-7,∞)
Step-by-step explanation:
Well lets graph it first,
Look at the image below ↓
By looking at the image we move it 3 units right and 3 units down.
Then it will be located at the point (1,-7).
Meaning for the domain it starts at 1 and goes on for infinity.
And For the range it starts down at -7 and goes down for infinity.
Thus,
the correct answer is choice A.
Hope this helps :)
Answer:
A
Step-by-step explanation:
Solution:-
- First we will go through the guidelines that are followed when a given function [ f ( x ) ] is translated in a cartesian coordinate system domain.
Horizontal shifts:
Left shift: f ( x ) - > f ( x + a ). Right Shift: f ( x ) - > f ( x - a )Where, the constant ( a ) denotes the magnitude of shift
Vertical shifts:
Up shift: f ( x ) - > f ( x ) + bDown Shift: f ( x ) - > f ( x ) - bWhere, the constant ( b ) denotes the magnitude of shift
- The generalized form of a translated function is defined by the combination of both horizontal and vertical shifts as follows:
General: f ( x ) -> f ( x ± a ) ± b
Where, (a) and (b) are constants of respective translation shifts.
- We are given a function H ( x ) is to be translated 3 units to right and 3 units down. Use the above guidelines to determine the translated function H* ( x ) as follows:
[tex]H ( x ) = \sqrt{x+2} - 4\\\\H^* ( x ) = H ( x - 3 ) - 3[/tex]
- Substitute ( x - 3 ) in place of all ( x ) in the given function H ( x ) and subtract ( 3 ) from H ( x ) as follows:
[tex]H^* ( x ) = \sqrt{x-3 + 2} -4 - 3\\\\H^* ( x ) = \sqrt{x-1} -7\\[/tex]
- Now we will look for any transcendental functions in the translated function H*(x). These are " Radicals, fractions, Logs, trigonometric ratios "
- We have a radical - > " square root " in H* ( x ). To find the domain of H*(x) we need to determine for what real values of x is the function H*(x) is defined.
- The square root exist for all only positive numbers. So the terms under the square root must be positive; hence,
[tex]x - 1 \geq 0\\\\x \geq 1[/tex]
- Since the square root is the only transcendental in the given function H*(x) we have a one sided closed interval for the domain of the translated function.
Domain: [ 1 , ∞ ) ... Answer
- The range of the function is the corresponding output of function H*(x) for the domain established above. We can determine this by plugging in the end-points of the defined domain in the translated function H*(x) as follows:
[tex]H^* ( 1 ) = \sqrt{1 - 1} - 7 = -7\\\\H^* ( inf ) = \sqrt{inf - 1} - 7 = inf - 7 = inf\\\\[/tex]
Therefore the range of the function is also a one sided closed interval bounded by x = 1.
Range: [-7 , ∞ ) ... Answer
defg is a dilation image of defg which is the correct description of the dilation
Answer: Center D I think
Step-by-step explanation:
Which of the following equations can be used to solve for x? select all that apply
Answer:
Everything but B
Step-by-step explanation:
When solving you can not have the degrees on the top
Use the first three terms of the binomial theorem to approximate 3.5^6.
Answer:
2065.5
Step-by-step explanation:
You have to approximate the following calculation 3.5^6
The binomial theorem is given by:
[tex](a+b)^n=\Sigma_{k=0}^{k=n}\left[\begin{array}{c}n&k\end{array}\right] a^{n-k}b^k[/tex] (1)
You can express the number 3as follow:
[tex]3.5^6=(3+0.5)^6=(3+\frac{1}{2})^6[/tex] (2)
by comparing the equation (1) with the equation (2) you have
a = 3
b = 1/2
To calculate the first three terms of the binomial theorem you use k=3. You replace the values of a, b, n and k in the equation (1):
[tex](3+\frac{1}{2})^6=\Sigma_{k=0}^{k=6}\left[\begin{array}{c}6&k\end{array}\right] (3)^{6-k}b^k[/tex]
You only take the first three terms:
[tex](3+\frac{1}{2}^6)\approx(1)(3)^6(\frac{1}{2})^0+(6)(3)^5(\frac{1}{2})^1+\frac{6\cdot 5}{1\cdot 2}(3)^4(\frac{1}{2})^2\\\\(3+\frac{1}{2}^6)\approx729+729+\frac{1215}{2}=2065.5[/tex]
By using the first three terms of bynomial theorem you obtain 2065.5
The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor? That’s us my question it’s confusing please someone help meee I’m in grade 7
Answer:
The divisor and dividend have the same signs.
Step-by-step explanation:
Let's look at all of the possible outcomes of dividing with different signs.
Positive / positive = positive
Positive / negative = negative
Negative / positive = negative
Negative / negative = positive
We can see that whenever the signs are the same, the quotient is positive.
(Math never got easier!) No seriously help:)
Answer:
Step-by-step explanation:
cosФ=0 then the angle=π/2=90 degrees
sinФ==1 sin 90=1
12) the original price of the console that Amanda bought :
240+(240*50%)=360 dollars
the price before the tariffs:
360-(360*50^)=180 dollars
Convert 125 degrees into radians. (NEED ASAP)
Answer:
[tex]\boxed{\frac{25\pi }{36}}[/tex]
Step-by-step explanation:
Use the formula to convert from degrees to radians: [tex]x * \frac{\pi }{180}[/tex], where x is the value in degrees.
[tex]125 * \frac{\pi }{180}[/tex] = [tex]\frac{125\pi }{180}[/tex]
Then, simplify your fraction ⇒ [tex]\frac{125\pi }{180} = \boxed{\frac{25\pi}{36} }[/tex]
Andrew is putting reflective tape around the edge of a stop sign. The sign is a regular octagon, and each side is 11 inches long. How many inches of tape will Andrew need?
Answer:
88 inches
Step-by-step explanation:
We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.
Answer:
88 inches
Step-by-step explanation:
The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.
A box with an open top is to be constructed from a square piece ofcardboard, with sides 6 meters in length, by cutting a square from each of the fourcorners and bending up the sides. Find the dimensions that maximize the volume ofthe box and the maximum volume.
Answer:
Step-by-step explanation:
Let x be the height of the box . x will be cut at four corners .
each side of the box = 6 - 2x
volume of box V = ( 6 - 2 x )² x
V = ( 36 + 4 x² - 24 x ) x
V = 4x³ - 24 x ² + 36 x
For maximum volume
dV / dx = 12 x² - 48 x + 36 = 0
x² - 4 x + 3 = 0
( x - 3 ) ( x - 1 ) = 0
x = 1 , x = 3 ( not possible )
Possible solution x = 1
Volume , for x = 1
V = V = ( 6 - 2 x )² x
V = 4² x 1
= 16 m³.
Jack challenged Jill to a race around a curve of a track. Jack took lane 8 with Jill at lane 1. If the radius of lane 1 is half of lane 8, what is the distance in metres Jack has to run if Jill ran a distance of 50m?
Answer:jac ganko
Step-by-step explanation:
pyramid.
In the adjoining solid, a square based pyramid is
situated on the top of a square based cuboid so that
the total height of the solid is 15 cm. If the volume
of the pyramid and cuboid are 300 cm and 600 cm
respectively, find the height of the pyramid.
15 cm
adean of the same
The heich
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer).
If the total height of the solid is 15 cm. If the volume of the pyramid and cuboid are 300 cm and 600 cm respectively, then height of pyramid is 9cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
300= 1/3 ×h×s²
300= hs²/3
hs²=900
Volume of the cuboid:
600= s² (15 - h).
600=15s²-hs²
600=15s²-900
600+900=15s²
1500=15s²
100=s²
s=10
Now substitute s value in hs²=900
h(100)=900
Divide both sides by 100
h=9cm
Hence height of the pyramid is 9cm.
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How many solutions does this system have? 6 x + 3 y = negative 12. y = negative 2 x + 4. one two an infinite number no solution
Answer:
work is shown and pictured
What is the measure of angle B in degrees?
119°
Step-by-step explanation:
for this angle A has to be found for that you can use the theorem that states sum of interior angles is equal to the sum of opp exterior angle
51 + A = 112
A = 112 - 51
A = 61°
THEN WE CAN FIND THE B angle
they are angles on a straight line
so 61 + B = 180
B = 119°
if p(x) = x+ 7/ x-1 and q (x) = x^2 + x - 2, what is the product of p(3) and q(2)? a. 50 b. 45 c. 40 d. 20 e. 6
Answer:
d. 20
Step-by-step explanation:
To answer the question given, we will follow the steps below:
we need to first find p(3)
p(x) = x+ 7/ x-1
we will replace all x by 3 in the equation above
p(3) = 3+7 / 3-1
p(3) = 10/2
p(3) = 5
Similarly to find q(2)
q (x) = x^2 + x - 2,
we will replace x by 2 in the equation above
q (2) = 2^2 + 2 - 2
q (2) = 4 + 0
q (2) = 4
The product of p(3) and q(2) = 5 × 4 = 20
Can you help me it’s algebra 2 and I need the answers for like 5 more questions, it’s urgent like really urgent!!!!
Answer: B) as x → -5 from the left, y → -∞
as x → -5 from the right, y → +∞
Step-by-step explanation:
[tex]g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+[/tex]
Refer to the graph which confirms that
from the left, y tends toward -∞from the right, y tends toward + ∞Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo's equation is missing, as shown below. Negative (x minus 1) + 5 = 2 (x + 3) minus box
Answer:
The term inside the box should be 3 x.
Step-by-step explanation:
Given the equation:
- (x - 1) + 5 = 2 (x + 3) - T
(where T is the missing term in Leonardo's equation)
we can work with the given terms and accumulate all of them on one side of the equal sign (let's pick the right side for that, and move the tremt T to the left):
- x + 1 + 5 = 2 x + 6 - T
- x + 6 = 2 x + 6 - T
0 = 3 x - T
T = 3 x
For such equation to render infinite number of solutions, the term T on the left must equal "3 x". that way, the equation would be verified for any possible value x.
Answer:
3x
Step-by-step explanation:
i did the test and got it right, hope this helps!
A constant force of 85 N accelerates towards a 10 kg box from a speed of 3.0 m/s to a speed of 7.0 m/s as it goes 14 m along a horizontal floor. What is the coefficient of friction between the box and the floor?
Answer:
Step-by-step explanation:
Let us find the acceleration of box .
v² = u² + 2as
Putting the values
7² = 3² + 2 a x 14
a = 1.43 m /s²
If coefficient of friction be μ
force of friction = μ mg
= μ x 10 x 9.8
= 98μ
Net force pushing the box
= 85 - 98μ
Applying newton's second law
85 - 98μ = 10 x 1.43
98μ = 85 - 14.3
μ = .72
in how many ways can you select a committee of 3 students out of 10 students ?
According to an article by George Will (San Jose Mercury News, Feb. 28, 2002), the average U.S. consumption per person per year of French Fries is 28 pounds. Suppose that you believe that the average in Santa Clara County is not 28 pounds. You randomly survey 50 people in this county. The sample average is 24 pounds with a sample standard deviation of 10 pounds. Conduct an appropriate hypothesis test. The p-value for this test is:________.
a. 0.0068
b. 0.0034
c. 0.0136
d. 0.0047
Answer: d. 0.0047
Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.
To find p-value, first find the z-score:
z = [tex]\frac{x-\mu}{SE}[/tex]
x is sample mean
μ is population mean
SE is standard error calculated by [tex]\frac{s}{\sqrt{n} }[/tex]
SE = [tex]\frac{10}{\sqrt{50} }[/tex]
SE = 1.414
z = [tex]\frac{24-28}{1.414}[/tex]
z = - 2.83
The hypotheses ([tex]H_{0}, H_{a}[/tex]) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:
p-value = 0.00233*2
p-value = 0.0047
The p-value for this test is 0.0047
Write an expression for the volume and simplify your answer. 3x x+1 x+4
Answer:
volume=3x³+15x²+12x
Step-by-step explanation:
v= l*w*h =(3x )(x+1) (x+4)
v=3x(x²+5x+4)
volume=3x³+15x²+12x
Exactamente a las 6:45 am mi reloj se daño y comenzo a caminar en sentido contrario a la velocidad correcta, ahora son las 9:30 am que hora esta marcando mi reloj? ayuda :(
Answer:
El reloj está marcando:
las 4:00 horas
Step-by-step explanation:
El reloj avanzó a su mismo ritmo pero en sentido contrario a partir de las 6:45
si ahora son las 9:30 el reloj marca:
9:30 = 9horas 30minutos = 9h 30'
6:45 = 6horas 45minutos = 6h 45´
1 hora = 60'
9h 30' = 8h + 60' + 30' = 8h + 90' = 8h 90'
entonces:
8h 90'
- 6h 45'
= 2h 45
entonces el reloj está marcando 2h 45' menos que la hora en que se dañó.
por tanto:
6h 45'
- 2h 45'
= 4h 00'
El reloj ahora está marcando las
4 horas en punto.