Answer:
\(y = \frac{1}{6} x\)
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)
Using the above formula,
\(m = \frac{1 - ( - 1)}{6 - ( - 6)} \\ m = \frac{1 + 1}{6 + 6} \\ m = \frac{2}{12} \\ m = \frac{1}{6} \)
Substitute the value of m into the equation:
\(y = \frac{1}{6} x + c\)
To find the value of c, substitute a pair of coordinates.
When x=6, y=1,
\(1 = \frac{1}{6} (6) + c \\ 1 = 1 + c \\ c = 1 - 1 \\ c = 0\)
Thus, the equation of the line is y=⅙x.
a missle was fired from a submarine from 370 feet below sea level. if the missile reached a height of 8400 feet before exploding, what was the change in the altitiude of the missile?
Answer:
8770 feet
Step-by-step explanation:
Add 370 to 8400:
8400 - 370
= 8770 feet
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
Answer for brainliest
Answer:
D) (-9,-3)
Step-by-step explanation:
4(3y)-3y=-27
12y-3y=-27
9y=-27
y=-3
x=3(-3)=-9
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
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Selina is remodeling her home. She installed a low-flow toilet in her home that flushes 0.8 gallon each time. She replaced her showerhead with a low-flow showerhead that releases 1.5 gal/min. She flushes 12 times a day and showers for 10 minutes a day. On average, her appliances use 40.2 gal/day. Assuming no other appliance use, how much less water will she use than the average U.S. citizen?
The average U.S. citizen uses approximately 88 gallons of water a day.
What is Frequency?
Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.
Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.
By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.
In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.
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Determine the value of x.
40°
(3x + 10)°
Answer:
x = 0
Step-by-step explanation:
x (40 °) ((3 x + 10) °)
40 x (3 x + 10) °^2
Expanded form:
120 x^2 °^2 + 400 x °^2
Roots:
x = -10/3
x = 0
Alternative forms:
40/3 (3 x + 5)^2 °^2 - (1000 °^2)/3
x (120 x °^2 + 400 °^2)
1/810 π^2 x (3 x + 10)
Geometric figure:
Parabola
HOPE I HELPED!
Does anybody know the answer please if you do give it please
-7x + 17y
(-2x + 10y) - (5x - 7y)
-2x + 10y - 5x + 7
-7x + 17y
#18 *
C) Assessment Practice
18. Last month you spent $30. This month you spent 140% of what you spent
last month. Set up a proportion to model this situation. How much did you
spend this month?
Your answer
Answer: You spent $42 this month.
Step-by-step explanation:
\(\frac{x}{30} = \frac{140}{100}\) solve by cross product
100x = 4200
x= 42
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Select the equivalent forms.
50% =
10% =
75% =
Answer: 50%=1/2 or 0.5, 10%= .1 or 1/10, 75%= .75 or 3/4
Step-by-step explanation:
to change a percentage into a decimal move the decimal to the left 2 times.
To change a decimal to a percentage, move the decimal to the right 2 times.
evaluate this function f(x)= 1/3 • 6x at x=2
Answer:Im pretty sure the slope is 2.
Step-by-step explanation:
4% of 50
Percent of a quantity
M
Answer:
4% of 50 is 2
Step-by-step explanation:
PLEASE HELP MEE AND HURRY
Answer:
mixed numbers maybe it is
Answer:
mixed numbers
Step-by-step explanation:
use that
Tell me weather the transformation is a dilation Explain
Answer:
A dialation is an enlargment or reduction of a figure. The size changes. To find dilation, multiply each point by a scale factor(k). (x, y)➡(kx, ky)
Ex. scale factor is 3
(2, 5)➡(6, 15)
Step-by-step explanation:
I just learned this.
3. Find how many numbers between 232 and 252.
Answer:
252-232=20-1=19
Step-by-step explanation:
the question said in between so you don't count the first and the last numbers
I really need help with this
Can you guys please help! I need the help ASAP I only have 10 minutes
Answer:
i think it jkme
Step-by-step explanation:
1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)
For each angle θ listed below, find the reference angle α, and then find sin θ. Round sin θ to four decimal places, if necessary.θ = 255° ? ?
A reference angle is the angle created by the terminal arm and X-axis, and must be in the same quadrant as the terminal arm.
The given angle is 255°. It is located at quadrant III, then we can find the reference angle by subtracting 180°:
\(255\degree-180\degree=75\degree\)The sin of 75 is:
\(\sin 75\degree=0.9659\)In quadrant III, the sine is negative, then the sin of 255° is equal to the sine of 75° but negative. So:
\(\sin 255\degree=-0.9659\)The answer is option C. sin75=0.9659 sin255=-0.9659
Answer:
The answer is option C. sin75=0.9659 sin255=-0.9659
Step-by-step explanation:
A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W
In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.
How can the directional bearing of the boat be determined?The given velocity vector are; 25 and 25√3)
horizontal components =25
vertical components =25√3
Then the angle
Tan(θ) = {vertical component / horizontal component }
= 25√3 / 25
= √3 / 1
= √3
Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E
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A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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-2|10-(-23)|-3+18
Having a hard time with this problem can someone help
first we have to make a common denominator
then we just add or subtract depends on the sign
last (optional) i just used a calculator to see approximately what will the asnwer be
Find the area of the yellow region.
Round to the nearest tenth.
8 cm
8 cm
Area
[ ? ] cm2
Answer:
13.76 cm^2
Step-by-step explanation:
over all area=8x8=64
4 circular quarter areas=one whole circle in area.
circle area=pi(radius)^2=3.14(4)^2=50.24
overall-circular=64-50.24=13.76 cm^2
Answer:
13,8
Step-by-step explanation:
The area of a square = 8 * 8 = 64 \(cm^{2}\)
There are 4 quarters of a circle, which make one full circle
The area of a circle is π * \(r^{2}\) = 3,14 * \(4^{2}\) = 50,24 \(cm^{2}\)
Here π ≈ 3,14, r is radius, r = 8/2 = 4 cm
The area of the whole square - the area of a circle = 64 \(cm^{2}\) - 50,24 \(cm^{2}\) = 13, 76 \(cm^{2}\) ≈ 13,8 \(cm^{2}\)
The kinetic energy k of an object in joules is given by the formula k = 1 mv2, where m is the object's mass in kilograms and v is its velocity in meters per second. An object's velocity is 20 meters per second and its kinetic energy is 48,000 joules. If it speeds up to 30 meters per second, then what is its new kinetic energy?
Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
Answer:
Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
Step-by-step explanation:
What is the image (11,-5) after the Rx=0 • T(11,-5)(-22,-10)(0,-10)(22,10)(0,10)
The original point has coordinates (11,-5)
The transformation applied to this point are Rx=0 * T(11,-5)
First, you have to do the translation T(11,-5), this means that you have to make a horizontal translation 11 units to the right, and a vertical translation 5 units down, following the rule:
\((x,y)\to(x+11,y-5)\)So, add 11 units to the x-coordinate and subtract 5 units to the y-coordinate of (11,-5)
\((11,-5)\to(11+11,-5-5)=(22,-10)\)Once you've made the translation, you have to reflect the point (22,-10) over the vertical line x=0, this vertical line is the y-axis. This means that you have to reflect the point over the y-axis.
To do this reflection you have to invert the sign of the x-coordinate of the point and leave the y-coordinate the same:
\(R_{y-\text{axis}}=(x,y)\to(-x,y)\)\((22,-10)\to(-22,-10)\)The coordinates of the point after the translation and reflection are (-22,-10), option 1
What is the solution to the equation
2x=5
Answer:
5/2 or 2.5
Step-by-step explanation:
Divide both sides by 2.
Someone help me in this one now please
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
The price of an item has been reduced by $3.49. The new sale price is $31.38. What was the original price?
Add the amount it was reduced to the new price:
3.49 + 31.38 = 34.87
Original price = $34.87
Answer:
When finding the unknown original price, add the sale reduction to the new sale price to get the old sale price.
\(3.49 + 31.38 = 34.87\)
Therefore, the original sales price was 34.87
WHAT IS A VOLUME OF THE BOX WITH A HEIGHT OF 3\2 WIDTH OF 5\2 AND LENGHT OF 7\2
Answer:
13.125 or 105/8u^3
Step-by-step explanation:
To find the volume of the box, you can use the formula of length times width time height.
3 * 5 = 15
2*2=4
15/4*7/2=105/8 which can be divided to become 13.125
1. Use a protractor to try to draw each triangle. Which of these three triangles is impossible to
draw?
a. A triangle where one angle measures 20° and another angle measures 45°
b. A triangle where one angle measures 120° and another angle measures 50°
C. A triangle where one angle measures 90° and another angle measures 100°
answer:
C a triangle with one measures 90° and another angle measures 100°