Answer:
B. 2
Step-by-step explanation:
We know when line 1 is perpendicular to line 2 so m1 × m2 = — 1
(m=slope)
so here we know that the slope of the new line is m2=1
and also line 2 cuts line 1 on a point such that (x,—x)
so we take a look at m2 and (x,—x) & (2,4) :
\(we \: have \: \: m2 = 1 \\ so \\ m2 = \frac{ - x - 4}{x - 2} = 1 \\ \\ x = - 1 \\\)
so (x,—x) will be ( —1,1)
now we know that line 2 passes through the point (—1,1)
now put the point as x & y :
\(y = x + b \\ 1 = - 1 + b \\ b = 2\)
so the final answer is 2
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
4. Two student groups are working on the school yearbook. They printed two batches of pages on a printer in the computer lab. The table below shows the number of pages printed by each group and the time needed to print the pages. Time in Seconds (x) 30 20 Number of Pages (y) 150 130 Write ratios for the two print jobs in the form . Do the data represent a proportional relationship? Explain.
Answer:
The ratio for the first print job is 150/30 = 5 pages per second.
The ratio for the second print job is 130/20 = 6.5 pages per second.
Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.
Step-by-step explanation:
The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5
Find the arc length of the semicircle of 5
Answer:
25.7
Step-by-step explanation:
The formula to calculate the arc length of a semicircle is given by
Arc Length = (π * radius) + 2 * radius
Substituting the radius value into the formula:
Arc Length = (π * 5) + 2 * 5
Arc Length = 5π + 10
Arc Length = 5(3.14) + 10
Arc Length = 15.7 + 10
Arc Length = 25.7
Find the circumference of the pizza, if the diameter is 9 inches.
The circumference of the pizza is approximately 28.27 inches.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
In this case, the diameter of the pizza is 9 inches.
Substituting this value in the formula, we get:
C = πd
C = π(9)
C ≈ 28.27
Therefore,
The circumference of the pizza is approximately 28.27 inches.
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THIS IS DUE IN 5 MINUTES I WILL GIVE BRAINLIST ASAP! The table below shows the cost of downloading songs from a website.
Number of songs 6 the total cost of it is 3.78 If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.
Answer:
c = 0.63(s)
Step-by-step explanation:
brainliest please<3
(!!EXTRA POINTS!!)
The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?
Answer:
30 and 60 degrees
Step-by-step explanation:
30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.
Complementary angles are angles that add up to 90 degrees.
Angle one = x
Angle two = 2x
2x + x = 90 degrees
Combine like terms.
3x = 90 degrees.
Divide both sides by 3
x = 30
Angle one = x = 30 degrees
Angle two = 2x = 2(30) = 60 degrees.
Answer the questions in the picture.
Answer:
MEDIAN = 6
Step-by-step explanation:
FORMULA = (n+1)÷2
Step-by-step explanation:
Given:-
The Values ( Attach by the User )To find:-
MeanMedianModeRangeSolution:- (Q.1)
\(\sf \: Arithmetic \: mean = \dfrac{Sum \: of \: all \: observation}{No.of \: observations}\\\\\\: \implies \sf \: mean \: = \dfrac{1 + 1 + 1 + 1 + 3 + 3 + 4 + 4 + 4 + 8 + 12}{11}\\\\\\ : \implies \sf \: mean = \dfrac{42}{11} \\\\\\ : \implies \sf \: mean = 3.81\)
Solution:- (Q.2)
\(: \implies \sf \:median = \bigg({\dfrac{n + 1}{2} \bigg)^{th}}\\\\\\ :\implies \sf \:median = \bigg( {\dfrac{11 + 1}{2} \bigg)^{th}}\\\\\\: \implies \sf \:median = \bigg( \dfrac{12}{2} \bigg) ^{th}\\\\\\ : \implies \sf \:median = 6th \: item\\\\\\ : \implies \sf \:median = 3\)
Solution:- (Q.3)
Mode = Number of Maximum times occurring in Observation.
Mode = 1 Because its Occurring most in the Observation.
Solution:- (Q.4):-
Range = Highest - Lowest
⠀⠀⠀⠀= ⠀⠀12 ⠀⠀- ⠀1
⠀⠀⠀⠀= ⠀⠀⠀⠀⠀11
.°. 11 is the Required Range
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Below is the graph of . Translate it to make it the graph of . y2468-2-4-6-8x2468-2-4-6-8
The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Therefore, we have the following:
f(x) = x^2
g(x) = f(x - 1) + N
g(x) = (x - 1)^2 + 3
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The difference between those graphs
Answer:
B
Step-by-step explanation:
the negative on the outside makes it a reflection over the x-axis
Answer:
b
Step-by-step explanation:
because if you say make up points the plot them then youll see there across from each other
if f(x) = 1/x^14, what is f'(x)?
Answer:
\(f(x) = \frac{1}{ {x}^{14} } \\ f'(x) = - \frac{14}{x {}^{15} } \)
choose the correct response
Answer: 0
To find this answer, we replace x with 0 in the g(x) function
g(x) = -2x
g(0) = -2*0
g(0) = 0
A chicken farmer started his summer with 6
chickens. By fall, he counted 36 chickens,
and by
winter he counted 216 chickens Which expression
represents the number of chickens he had by
winter?
Need help asap!
Answer: It is multiplying by 6 each time
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations
If y varies inversely as X and y=16 when X=4,find y when X=32
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)
GIVING 100 POINTS FOR THESE 3 PROBLEMS
Answer:
Step-by-step explanation:
\(A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2\)
\(A=\frac{ab}{2} =\frac{4*6}{2} =12in^2\)
\(A=wl=6*5=30in^2\)
\(12+30=42in^2\)
\(A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2\)
Wall = A=\(\frac{ab}{2} =\frac{6*30}{2}=90ft^2\)
Answer:
16.5cm²42in²90ft²Step-by-step explanation:
Question 1:
A = (a+b/2)h
A = (4+7/2)3
A = (11/2)3
A = (5.5)3
A = 16.5cm²
Question 2:
A = bh/2 = 6*4/2 = 24/2 = 12
A = bh = 6*5 = 30
A = 12 + 30 = 42
A = 42in²
Question 3:
A = (a+b/2)h
A = (28+40/2)30
A = (68/2)30
A = (34)30
A = 1020ft²
A = bh/2
A = 30*6/2
A = 180/2
A = 90ft²
Best of Luck!
4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.
they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer
Estimate a 15% tip on a dinner bill of $51.76 by first rounding the bill amount to the nearest ten dollars.
Answer:
the tip is $7 .50
Step-by-step explanation:
To calculate the tip multiply the rounded number times the decimal version of the percent.
.15 x 50
Answer:
$57.50
Step-by-step explanation:
Round the amount to the near ten dollars ( $50.00 $51.76 $60.00)
The amount is $50.00
Total Bill = Cost + Tip
Total Bill = $50.00 + $50.00(.15)
Total Bill = $50.00 + 7.50
Total Bill = $57.50
x^3-6x^+2x-4 divided by x+2
Answer:
Step-by-step explanation:
which is rights answer?
Answers:
A) 242.88 minutes
B) 4.08 minutes
C) 3.48 minutes
D) 3.97 minutes
The population of the average length in 2013 is (b) 4.08 minutes
How to predict the average length in 2013from the question, we have the following parameters that can be used in our computation:
The table of values
Using the least squares, we have the following summary
Sum of X = 9Sum of Y = 16.33Mean X = 1.5Mean Y = 2.7217Sum of squares (SSX) = 17.5Sum of products (SP) = 2.135The regression equation is
y = mx + b
Where
m = SP/SSX = 2.14/17.5 = 0.122
b = MY - bMX = 2.72 - (0.12*1.5) = 2.53867
So, we have
y = 0.12x + 2.54
In 2013, we have
y = 0.12 * 13 + 2.54
y = 4.1
Hence, the prediction is (b) 4.08 minutes
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Abdul is 5 feet tall. Which equation can be used to determine h, Abdul’s height in centimeters if 1 inch is equal to 2.54 centimeters?
Answer:
c
Step-by-step explanation:
sorry if it's wrong i am not that good at fractions but i wish you luck
love the pfp
Evaluate. Write your answer in fraction simple form.
(1/9)^2
To calculate a fraction, it is almost the same as calculating a number normal to the power. The numerator and denominator of the fraction are multiplied as many times as possible indicated by its exponent, then:
\(\boldsymbol{\sf{\left(\dfrac{1}{9}\right)^{2}=\dfrac{1\times1}{9\times9}=\cfrac{1}{81} }}\)
Therefore the fraction 1/81 is already in reduced form, so it is no longer possible to simplify it.
ved Match each equation of a tangent line to the correct tangent on the graph of the function f(x) = 0.1x³ + 2. y = 0.3x + 1.8 y = 4.8x - 10.8 y = 2.7x + 7.4 - y = 2.7x+3.6 y = 1.2x + 7.4 y = 4.8x + 1.8 -2 -1 10 3 1 y = 0.3x - 10.8 f(x) = 0.1x³ + 2/ 2/ 3 y = 1.2x+3.6
y = 0.3x + 1.8 matches f(x) = 0.1x³ + 2
y = 1.2x + 7.4 matches f(x) = 0.1x³ + 2
y = 2.7x + 3.6 matches f(x) = 0.1x³ + 2
y = 4.8x + 1.8 does not match f(x) = 0.1x³ + 2
y = 4.8x - 10.8 does not match f(x) = 0.1x³ + 2
y = 0.3x - 10.8 does not match f(x) = 0.1x³ + 2
What is a tangent line?A tangent line is a straight line that touches a given curve at a single point and has the same slope as the curve at that point. In other words, it is a line that locally approximates the curve at that point. The tangent line is often used to study the behavior of a function near a particular point and can provide valuable information about the properties of the curve
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x = ___ units.Round your answer to the nearest tenth.
Considering that we have here a right triangle we can use the Pythagoras theorem:
\(40^2=24^2+x^2\)\(1600=576+x^2\)\(x^2=1024\)\(x=\sqrt[]{1024}\)\(x=32\)x is equal to 32 units.
Write the equation of the line with y-intercept 3 and a slope of – 2/3
Answer:
y = -2/3x + 3
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2/3x + 3
Answer:
\(y = - \frac{2}{3} x + 3\)
Step-by-step explanation:
\(y = mx + b\)
where y us unknown, m is -2/3 and b is 3
Graph the inequality in the coordinate plane. y<6
Answer:
Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)
Step-by-step explanation:
Fraction Multiplication and División:Question 4
Tina has $72 to spend on new t-shirts. If each t-shirt costs $12,
how many different t-shirts can Tina buy? Set up a fraction to
determine how many t-shirts Tina can buy. Then solve.
Answer: 6 T-shirts
Step-by-step explanation:72/12=6
WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP
Answer:
b
Step-by-step explanation:
This a very difficult question but im pretty sure its b