Answers
Answer:
y=3x+3
Step-by-step explanation:
So generally you'll have a linear equation in the form of slope-intercept which looks like: y=mx+b, where m is the slope, and b is the y-intercept. the y-intercept, is the value of y, when x=0, which is going to be the constant b, because mx will be 0, because m * 0 = 0. m is the slope because as x increases by 1, the y-value increases by m, which in definition is the slope, how much a function increases as x increases by 1. So if you look at the table when x goes from -1 to 0, the y value goes from 0 to 3 or an increase in 3, and the same happens when x goes from 0 to 1. So the slope is 3, and the y-intercept as mentioned before is the value of y when x=0, which in this case is 3, which can be determined by looking at the table (look at y when x=0, it's 3). So this gives you the formula y=3x+3
Related Questions
BALLOON The angle of depression from a hot air balloon in the air to a person on the ground is 41°. If the person steps back 12 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far off the ground is the hot air balloon?
Answers
Answer:
16.06 ft
Step-by-step explanation:
The figure is attached below.
In triangle ACB:
\(tan(41)=\frac{x}{y} \\x=ytan(41)\)
In triangle ADB:
\(tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x\)
Therefore equating both equations gives:
\(ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft\)
Therefore x = 11.5715*tan(41) = 10.06 ft
The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft
ind the first partial derivatives of the function. w = ln(x 8y 9z) ∂w ∂x = ∂w ∂y = ∂w ∂z =
Answers
The first partial derivatives are:
∂w/∂x = 8/x∂w/∂y = 9/y∂w/∂z = 1/zTo find the first partial derivatives of the function w = ln(x^8y^9z), we differentiate with respect to each variable separately while treating the other variables as constants.
∂w/∂x:
When differentiating with respect to x, we treat y and z as constants:
∂w/∂x = (∂/∂x) ln(x^8y^9z)
To differentiate ln(u), where u is a function of x, we apply the chain rule:
∂w/∂x = (1/u) * du/dx
In this case, u = x^8y^9z, so:
∂w/∂x = (1/(x^8y^9z)) * (∂/∂x) (x^8y^9z)
Differentiating x^8y^9z with respect to x gives us:
∂w/∂x = (1/(x^8y^9z)) * (8x^7y^9z)
Simplifying:
∂w/∂x = 8x^7y^9z / (x^8y^9z)
∂w/∂x = 8/x
Similarly, we can find the other partial derivatives:
∂w/∂y:
Treating x and z as constants, differentiate x^8y^9z with respect to y:
∂w/∂y = (1/(x^8y^9z)) * (∂/∂y) (x^8y^9z)
∂w/∂y = (1/(x^8y^9z)) * (9x^8y^8z)
∂w/∂y = 9x^8y^8z / (x^8y^9z)
∂w/∂y = 9/y
∂w/∂z:
Treating x and y as constants, differentiate x^8y^9z with respect to z:
∂w/∂z = (1/(x^8y^9z)) * (∂/∂z) (x^8y^9z)
∂w/∂z = (1/(x^8y^9z)) * (x^8y^9)
∂w/∂z = 1/z
Therefore, the first partial derivatives are:
∂w/∂x = 8/x
∂w/∂y = 9/y
∂w/∂z = 1/z
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y=12x=25 help please
Answers
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
Which power of Congress is the most important?
Select one:
O a. the authority to regulate commerce
O b. the authority to establish the federal courts.
O c. the authority to make laws
O d. the authority to coin money
Answers
The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side
Answers
Answer:
1ft≤h≤25ft
Step-by-step explanation:
The area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeter, this is expressed as;
A ≤400
≤ means at most i.e it can not be greater than 400
Lh ≤ 400
Given L = 16
16h ≤ 400
h ≤ 400/16
h ≤ 25
Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative
A group of 8 friends go to the movies. A bag of popcorn costs $2.99. How much will it cost to get one bag of popcorn for each friend?
ty to anyone who helps!! <3
Answers
Step-by-step explanation:
$23.92 for the your 8 group of friends
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
This relation is linear. {2,-3), (4, -2), (-2,5), (0,4)}
true
false
Answers
Answer:
tru
Step-by-step explanation:
monthly sales are independent normal random variables with mean and standard deviation a. find the probability that exactly of the next months have sales greater than 100. b. find the probability that the total of the sales in the next
Answers
Answer: We can use the properties of the normal distribution to solve both parts of this problem.
a) The number of months with sales greater than 100 is a binomial random variable with parameters n = the number of months and p = the probability of a single month having sales greater than 100. Since each month is an independent normal random variable, we can use the standard normal distribution to find this probability. Let X be the number of months with sales greater than 100. Then:
X ~ Binomial(n, p)
where n is the number of months and p is given by:
p = P(X_i > 100) = P(Z > (100 - a) / a)
where Z is a standard normal random variable.
Using the binomial probability formula, the probability of exactly k months having sales greater than 100 is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
So the probability of exactly 3 months having sales greater than 100 is:
P(X = 3) = (n choose 3) * p^3 * (1 - p)^(n - 3)
= (12 choose 3) * P(Z > (100 - a) / a)^3 * [1 - P(Z > (100 - a) / a)]^(12 - 3)
b) The total sales in the next 12 months is a normal random variable with mean 12a and standard deviation sqrt(12)a. Let Y be the total sales in the next 12 months. Then:
Y ~ Normal(12a, sqrt(12)a)
The probability of the total sales being greater than some value x can be found by standardizing Y and using the standard normal distribution:
P(Y > x) = P((Y - 12a) / (sqrt(12)a) > (x - 12a) / (sqrt(12)a))
= P(Z > (x - 12a) / (sqrt(12)a))
where Z is a standard normal random variable. So the probability of the total sales in the next 12 months being greater than 1500 is:
P(Y > 1500) = P(Z > (1500 - 12a) / (sqrt(12)a))
Step-by-step explanation:
At Jefferson High School, there are 250250 students who drive to school and 375375 students who ride the bus to school. The number of students who drive to school is % of the number of students who ride the bus to school? I need you guys help what the answer
Answers
Answer:
66%
Step-by-step explanation:
First, change it into a fraction. 250250 over 375375 simplifies to 2/3, and 2/3 = 66%
Barbie and Woody go from school to a swimming pool, starting
at the same time. Barbie walks at 70 meters per minute and
Woody cycles 3 times as fast as Barbie walks. 9 minutes later,
Woody arrives. How many minutes earlier than Barbie does
Woody arrive?
Answers
Answer:
Woody arrived
27 - 9 = 18 minutes before Barbie did.
Step-by-step explanation:
When you are working with Distance=speed-time problems remember that if you know two of the values you can calculate the third one,
Barbie: She walks at a speed of 70 metres per minute.
Woody: Cycles 3 times as fast: →3 × 70 = 210 m/min
He cycled for 9 minutes.
210 m/min is his speed.
9 minutes is the time he took.
Distance = speed × time
D = 210 × 9 = 1890 metres,
Barbie: walked the same distance of 1890 metres
Her speed was 70 m/min
The time she took:
Time= \(\frac{Distance}{Speed}\)
T i m e = \(\frac{1890}{70}\) = 27 minutes.
Woody arrived 27 − 9 = 18 minutes before Barbie did.
What is the value of x?
What is the value of y?
What is the value of z?
Answers
Answer:
X=63
Y=63
Z=72
Step-by-step explanation:
The value for angle X
X + 85 + 32 = 180°
X + 117 = 180°
X = 180° - 117°
X = 63°
Since <x and <y are vertically opposite
<X and <Y = 63°
Remember vertically opposite are the same.
The value for angle z
Z + 45 + Y = 180°
Z + 45 + 63 = 180°
Z° + 108° = 180° - 108°
Z = 72°
Therefore
Value for X = 63°
Value for Y = 63°
Value for Z = 72°
The city is planning to add a fish ping to a neighborhood park. Half an inch is 15 feet.
Length is 3.5 inch (total). Width is 1 inch. But the shape is curved at the ends
Answers
The fish pond in the neighborhood park, taking into account its curved ends, will have an approximate length of 105 feet and a width of 30 feet.
In this problem, we are tasked with finding the dimensions of a fish pond in a neighborhood park. The given information includes the scale of the drawing (half an inch is equivalent to 15 feet), the length and width of the pond in inches, and the fact that the pond has curved ends.
To find the dimensions of the fish pond in feet, we first need to convert the given measurements in inches to feet using the given scale.
Step 1: Convert the length and width from inches to feet using the given scale.
- 1/2 inch = 15 feet, so 1 inch = 30 feet (by doubling both sides of the equation).
Step 2: Convert the length and width of the fish pond using the scale.
- Length: 3.5 inches * 30 feet/inch = 105 feet
- Width: 1 inch * 30 feet/inch = 30 feet
Note that while we have the length and width of the pond in feet, we must consider the curved ends when determining the overall shape and dimensions of the fish pond.
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1/2 minus (1/8+1/8) I need help can somebody give me advice on this
Answers
Answer: 38
Step-by-step explanation:
Subtract 1/8 from 1/2
12 - 18 is 38.
Steps for subtracting fractions
Find the least common denominator or LCM of the two denominators:
LCM of 2 and 8 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8
For the 1st fraction, since 2 × 4 = 8,
12 = 1 × 42 × 4 = 48
Likewise, for the 2nd fraction, since 8 × 1 = 8,
18 = 1 × 18 × 1 = 18
Subtract the two like fractions:
48 - 18 = 4 - 18 = 38
Cancel CF which is 2
Now you will be with
1/2 - 1/4
Calculate
Solution
1/4
Find the vertex of the parabola.
y = 2x^2+ 8x+12
a.
(2,-4)
b. (-2,4)
c. (-4,2)
d.
(4,-2)
Answers
Answer:
b
Step-by-step explanation:
y
=
2
(
x
+
2
)
2
+
4
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=2h
=
−
2
k
=
4
Find the vertex
(
h
,
k
)
.
(
−
2
,
4
)
image of graph
Use the information to answer the question.
Three vertices of a rectangle are shown on the grid.
What are the coordinates of the missing vertex? Enter the answer in the boxes.
Answers
Answer:
it will be (2,1)
Step-by-step explanation:
because we connect lines
The 2-minute-and-43-second song “You’re Welcome” from the movie Moana has been used in more than 3,000 videos. What percent of the song can be used in a 30-second TikTok?
Answers
Answer:
18.4%
Step-by-step explanation:
18.4
alliknowinmybrainly
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately square feet, and the width of the billboard was approximately feet, what was the height of this billboard?
Answers
The height of the billboard is 70 feet.
Given that,
the area of the rectangular billboard covered by the ribbon was 4,060 approximately square feet, and the width of the billboard was 58 approximately feet.Calculation:\(Area = width \times height\\\\4060 = 58 \times height\\So, height = 4060 \div 58\)
= 70 feet
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The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.
Answers
The items in order from the greatest thickness to the least is
Item Thickness
Folder 1.9 * 10⁻²
Ruler 1.2 * 10⁻²
Dollar bill 1.0 * 10⁻⁴
Sheet of paper 8.0 * 10⁻⁵
Placing the items in order from the greatest thickness to the least thickness.From the question, we have the following parameters that can be used in our computation:
Item Thickness
Sheet of paper 8.0 * 10⁻⁵
Folder 1.9 * 10⁻²
Dollar bill 1.0 * 10⁻⁴
Ruler 1.2 * 10⁻²
By definition, the smaller the power; the smaller the thickness
Since -5 is less than -4, then -4 is thicker than -5
So, we have the following order
Item Thickness
Folder 1.9 * 10⁻²
Ruler 1.2 * 10⁻²
Dollar bill 1.0 * 10⁻⁴
Sheet of paper 8.0 * 10⁻⁵
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According to a lending institution, students graduating from college have an average credit card debt of $4400. A random sample of 60 graduating senions was selected, and their average credit card debt was found to be $4781. Assume the standard deviation for student credit card debt is $1,200. Using a *0.10, complete parts a through c. a) The 2-test statistic is (Round to two decimal places as needed) The critical z-40ore(a) is ure). (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic the rull hypothesia b) Determine the p-value for this test. The p-value is (Round to four decimal places as needed.) c) Identify the critical sample mean or means for this problem
Answers
The average credit card debt of graduating seniors significantly differs from the assumed population average with a 2-test statistic of 2.72 and a p-value of 0.0032.
What are the statistical results indicating about the average credit card debt of graduating seniors compared to the assumed population average?The 2-test statistic calculated for the given data is 2.72, which exceeds the critical z-score of 1.645. This indicates that the sample average credit card debt of $4,781 significantly differs from the assumed population average of $4,400.
The p-value for this test is calculated to be 0.0032, which is less than the significance level of 0.10. Therefore, there is strong evidence to reject the null hypothesis that the average credit card debt is $4,400. Instead, the alternative hypothesis that the average credit card debt is different from $4,400 is supported.
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Help please. I'm stuck.
Answers
Answer:
15
Step-by-step explanation:
Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...
600/38 = 15 30/38 . . . bracelets
You can make 15 complete bracelets.
__
You will have 30 elastic bands left over.
Write the number that is the solution of this equation. 8x- 10 = 70 *
Answers
8x - 10 = 70
8x = 70 + 10
8x = 80 / : 8
x = 10
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answers
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
Mr and Mrs Tan and their three children bought tickets for a 'Holiday- On-Ice' show. An adult's ticket cost twice as much as a child's ticket. If they spent $87.50 in all, how much did each type of ticket cost?
Answers
A child's ticket cost is $12.50 and an adult's ticket cost $25.00.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mr and Mrs Tan and their three children bought tickets for a 'Holiday- On-Ice' show.
Let x be the cost of a child's ticket, 2x be the cost of adult's ticket
The cost of all three children's tickets would be 3x and total cost of Mr. and Mrs. Tan's tickets would be 4x
So the total cost of all five tickets would be 3x + 4x = 7x.
We know that the total cost was $87.50
7x = 87.50
Divide both sides by 7
x = 87.50 / 7
x=12.50
Hence, a child's ticket cost is $12.50 and an adult's ticket cost $25.00.
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Convert the polar equation to rectangular form and sketch its graph.
r = 6 cos θ
Answers
The given polar equation is r = 6 cos θ. Converting it to rectangular form, we get x = 6 cos θ and y = 6 sin θ. The graph of this equation will be a cardioid centered at the origin, with a radius of 6.
To convert the polar equation r = 6 cos θ to rectangular form, we can use the trigonometric identities x = r cos θ and y = r sin θ. Substituting the values, we get x = 6 cos θ and y = 6 sin θ. These equations represent the coordinates (x, y) in terms of the angle θ.
To sketch the graph, we can observe that the equation x = 6 cos θ represents a horizontal line that oscillates between -6 and 6 as θ varies. Similarly, the equation y = 6 sin θ represents a vertical line that oscillates between -6 and 6 as θ varies.
Combining these equations, we can plot the graph by taking various values of θ and computing the corresponding (x, y) coordinates. The resulting graph will be a cardioid, which is a heart-shaped curve centered at the origin, with a radius of 6 units. The curve starts at the point (6, 0), moves upward, forms a loop, and returns to the point (-6, 0) before completing the loop.
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how many meters will a point on the rim of a wheel travel if the wheel makes 35 rotations and its radius is one meter
Answers
A point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.To find the distance traveled by a point on the rim of a wheel, we need to first calculate the circumference of the wheel. The circumference is equal to the diameter of the wheel multiplied by pi (π).
However, since we are given the radius of the wheel, we can simply multiply the radius by 2 and then by pi to get the circumference.
The formula for calculating the circumference of a circle is:
Circumference = 2 × pi × radius
C = 2 × pi × r
C = 2 × 3.14 × 1 (since the radius is given as one meter)
C = 6.28 meters
Now that we know the circumference of the wheel, we can easily calculate the distance traveled by a point on the rim of the wheel if it makes 35 rotations.
The formula for calculating the distance traveled by a point on the rim of a wheel is:
Distance = Circumference × number of rotations
D = C × n
D = 6.28 × 35
D = 219.8 meters
Therefore, a point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.
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in still water , your small boat averages 8 miles per hour. it takes you the same amount of time to travel 15 miles downstream , with the current , as 9 miles upstream , against the current. what is the rate of the water's current?
Answers
Answer:
in still water, a boat averages 8 miles per hour. It takes the same amount of time to travel 30 miles downstream, with the current, as 18 miles upstream, against the current. What is the rate of the water's current.
Step-by-step explanation:
Let c=speed of current in mph
c+8=speed of boat downstream in mph
c-8=speed of boat upstream in mph
Travel time= distance/speed
30/8+c=18/8-c
240-30c=144+18c
48c=96
c=2 mph
ans
rate of water's current = 2 mph
At the airport, each piece of luggage to be checked in must weigh less than 45 pounds.
Answers
The weight of a piece of luggage that can be checked in, given the use of w to represent the weight, is W < 45.
How to represent the statement ?The statement given is that, " each piece of luggage to be checked in must weigh less than 45 pounds. "
What this means is that the mass of each luggage should not be up to 45 pounds. The weight of the luggage should not be more than 45 pounds and it should not be equal to 45 pounds.
If the weight of luggage was said to be equal or less, then the symbol of equal or less than, which is ≤ would have been used.
However, the weight should be less than 45 pounds and with the weight being w, the expression would be:
W < 45
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The rest of the question is:
Use W to represent the weight (in pounds) of a piece of luggage that can be checked in
There are 12 students in a high school senior class in how many ways could the yearbook choose the winners of Most Athletic Class
Clown Best School Spirit, Best Looking and Most Likely to Succeed?
Answers
Answer:
28(27)(26) assuming that nobody can get multiple designations.
Step-by-step explanation:
find the cost in dollars of the operating a 100- w w lamp continuously for 1 week when the power utility rate is 16 cents/kwh c e n t s / k w h . express your answer using two significant figures.
Answers
Operating a 100-watt lamp for a week when the power utility rate is 16 cents/k
Wh can be calculated as follows:
Power of the lamp = 100 watts
Time of usage = 1 week = 7 days
Power utility rate = 16 cents/kWh
1 kW = 1000 watts
Power consumed by lamp = 100 watts
Total time of usage in hours = 7 days x 24 hours/day = 168 hours
Energy consumed = Power x Time= 100 watts x 168 hours= 16,800
watt-hours (Wh) = 16.8 kWh
Cost of operating the lamp = Energy consumed x Power utility rate= 16.8 kWh x 16 cents/k
Wh= 2.688 dollars= $2.7 (approx)
Therefore, the cost of operating a 100-watt lamp continuously for 1 week when the power utility rate is 16 cents/kWh is approximately $2.7 using two significant figures.
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