Answers
right answer
Related Questions
Find the area of the rectangle.
(3y+1) miles
25 miles
Answers
Answer:
Srectangle: (3y+1)*25=75y+25(cm^2)
Step-by-step explanation:
Srectangle= w*L
I need help with this problem ASAP!
Answers
Answer:
aye down load the app Socratic
Step-by-step explanation:
just take a picture and it will show you the answers
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 6
Answers
Answer:
22.22% probability of getting a total that is a factor of 6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have these possible outcomes:
Format(Dice A, Dice B)
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes.
Cases in which the total are factor of 6:
The factors of 6 are the number for which 6 is divisible by, so 1,2,3 and 6.
The cases that have these totals are:
(1,1), (1,2), (1,5) (2,1), (2,4), (3,3), (4,2), (5,1)
8 outcomes, out of 36
8/36 = 0.2222
22.22% probability of getting a total that is a factor of 6
Pls help me on this question!!
Answers
Answer:
D
Step-by-step explanation:
7/10 + 3/10 = 1
Answer:
D
Step-by-step explanation:
What is the solution to the system of equations?
{y=5x−10
{y=−3x+14
Enter your answer as the correct ordered pair, like this: (42, 53)
Answers
multiply the second equation by -1, you get
y=5x-10
-y=3x-14
add both of the equations together
0=8x-24
then
24=8x
x=3
to find y replace x in one of the original equations
y=5x-10
y=5(3)-10
y=15-10
y=5
(x,y)
(3,5)
Infinitely many solutions
-3x + y = 7
2x
-
Y
Y =
=
6x
3x
-
One solution
-
4y = -8
-4x
5
-4x + 1
-
y
= 4
2y = 8
0
No solution
Answers
Answer:
x=0
Step-by-step explanation:
Selling Price = $ 504 and Gain % = 12%
Answers
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answers
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
Answers
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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When a barrel is 30% empty it
contains 30 litres more than when it is 30% full.
How many litres does the barrel hold when full?
Answers
Answer:
it is 70% full
Step-by-step explanation:
When it is 30 % empty it means it is 70% full
0.7x=0.3x+30
0.7x-0.3x=30
PLEASE HELP. HAVING TROUBLE
Answers
Step-by-step explanation:
Find equation of the parabola to be - 1/4 ( x-3)^2 -1
expanded this = y= - 1/4 x^2 + 6/4 x- 13/4
derivative of this is - 1/2 x + 6/4
set this equal to the desired slope (1/2)
- 1/2 x + 6/4 = 1/2
- 1/2 x = -1
x = 2
Find the average rate of change of y=log3 x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.
Answers
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is \(\frac{6}{25}\)
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = \(\frac{f(b) - f(a)}{b-a}\)
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ \(\frac{log(3*3) - log(3*1)}{3-1}\)
⇒ \(\frac{log9 - log3}{2}\)
⇒\(\frac{1}{2}\) log\((\frac{9}{3})\)
⇒ \(\frac{1}{2}\) * log 3
⇒ \(\frac{6}{25}\)
Hence we can conclude the rate of change as \(\frac{6}{25}\)
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PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answers
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".PLEASE HELP!!! So the answer I got was 19.14 however that is not the correct answer. How do I solve this problem. Not sure what else to do.
Answers
Check the picture below.
so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.
\(\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill\)
Solve the triangle A = 2 B = 9 C =8
Answers
Answer:
\(\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}\)Step-by-step explanation:
To calculate the angles of the given triangle, we can use the law of cosines:
\(\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}\)Then, given the sides a=2, b=9, and c=8.
\(\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}\)For B:
\(\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}\)\(\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}\)how to interpret the slope? and what is the slope?
Answers
Answer:
100
Step-by-step explanation:
0 20 40 60 100
5. l
10. l
15. l
20. l
Which of the following equations have the same solution ? Select all that apply. 1/2x+4= 7 , 1/3x -7= -6 , -2x-10= -16 , 2x + 13 =23 , 2/3x + 1 = 3
Answers
1. 1/2x + 4 = 7
Subtracting 4 from both sides gives 1/2x = 3
Multiplying both sides by 2 gives x = 6
2. 1/3x - 7 = -6
Adding 7 to both sides gives 1/3x = 1
Multiplying both sides by 3 gives x = 3
3. -2x - 10 = -16
Adding 10 to both sides gives -2x = -6
Dividing both sides by -2 gives x = 3
4. 2x + 13 = 23
Subtracting 13 from both sides gives 2x = 10
Dividing both sides by 2 gives x = 5
5. 2/3x + 1 = 3
Subtracting 1 from both sides gives 2/3x = 2
Multiplying both sides by 3/2 gives x = 3
So the equations that have the same solution are 2 and 3, which both have a solution of x = 3.
Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (1 point)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (1 point)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
Answers
The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,
Company A: y = 30x + 13
Company B: y = 28x + 15
The amount for x = 4 is given as,
Company A: y = 30 (4) + 13 = $133
Company B: y = 28 (4) + 15 = $127
The amount for x = 4 is given as,
Company A: y = 30 (7) + 13 = $223
Company B: y = 28 (7) + 15 = $211
Then the amount of money saved is given as,
⇒ $233 - $211
⇒ $22
The amount of money saved to clean 7 mattresses is $22.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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math math math math math math math
Answers
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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What is the slope of a line that is parallel to the line y =3/4 x + 2?
a. -4/3
b. -3/4
c. 3/4
d. 4/3
Answers
Answer:
The answer is C, 3/4.
Since it is parallel to y=3/4 x+2, 3/4 is the slope for both equations.
The number of oil tankers arriving at a refinery each day follows a Poisson(3)distribution. Current port facilities can service only four tankers a day so thatif more than four tankers arrive in a day, the additional tankers must be sentto another port. LetXdenote the number of tankersarrivingat the port andletYbe the random variable corresponding to the number of tankersserviceddaily.(a) What is the probability that no tankers arrive at the port? (2 pts)(b) What is the PMF ofY? (4 pts)
Answers
Answer for brainlest
Answers
Answer:
∠1 = ∠8
Step-by-step explanation:
Because they are ALTERNATE EXTERIOR ANGLE
Answer:
∠1 = ∠8
Step-by-step explanation:
Because alternate exterior angles are equal.
Also there is no angle given so you cant work them out.
simply put:
∠1 = ∠8
∠1 = ∠4
∠3 = ∠2
∠1 = ∠5
∠2 = ∠6
∠2 = ∠7
∠5 = ∠8
∠4 = ∠8
∠7 = ∠6
∠7 = ∠3
Let me know if I missed out on anymore! It was long that's why.
Hope this kind of explained it :)
The volume of this rectangular prism is 160 cubic yards. What is the surface area?
10 yd
surface area =
Submit
0
4 yd
square yards
4
Answers
Answer: The surface area of the rectangular prism is approximately 4 square yards.
Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
So, we have:
160 = lwh
Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.
Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:
lw = V/h = 160/10 = 16
Now, we have two equations:
lw = 16
wh = 160/10 = 16
Solving for w in the first equation, we get:
w = 16/l
Substituting this expression for w in the second equation, we get:
l(16/l)h = 16
Simplifying, we get:
h = 1
Therefore, the dimensions of the rectangular prism are:
length = l
width = 16/l
height = 10
Now, we can calculate the surface area of the rectangular prism using the formula:
SA = 2lw + 2lh + 2wh
Substituting the values we found, we get:
SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))
SA = 32/l + 20l + 160/l
To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:
dSA/dl = -32/l^2 + 20 + (-160/l^2)
0 = -32/l^2 + 20 - 160/l^2
52/l^2 = 20
l^2 = 52/20
l ≈ 1.44
Substituting this value of l back into the expression for SA, we get:
SA ≈ 4 square yards
Therefore, the surface area of the rectangular prism is approximately 4 square yards.
quick. If an initial rabbit population of 250 increased by 16%, what is the rabbit population now?
Answers
Answer:
290
Step-by-step explanation:
16% of 250 is 40, 250+ 40 = 290
Answer:
290
Step-by-step explanation:
solve the system of equations y = 2x - 5; y = -2x + 3
Answers
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
Write an equation of the line below.
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}\)
Which table represents a relation that's a non-function?
Answers
Answer:
The table in the attachment is the right option
Step-by-step explanation:
A table that represents a function must have exactly one y-value assigned to every x-value. In other words, a table that is a function cannot have any x-value (input) with two corresponding different y-values (outputs).
The table in the attachment below represents a relation that is non-function because it has two outputs, 5 and 7, that are assigned or corresponding to one input, 7.
Select the correct answer.
You’re trying to determine what the temperature is outside. The thermometer says it’s 24°C. You convert this temperature to 100°F. If a mistake was made during the conversion process, how did it happen?
A.
You converted Fahrenheit to Celsius instead of Celsius to Fahrenheit.
B.
You added 32 before multiplying by instead of multiplying by and then adding 32.
C.
You multiplied by instead of multiplying by .
D.
No mistake was made.
Answers
Answer:
B. You added 32 before multiplying by instead of multiplying by and then adding 32.
answer the question ready fast right now
Answers
Answer:
<eba and <hbi are congruent angles
Step-by-step explanation:
They are vertical angles, therefore congruent