Answer:
Step-by-step explanation:
there is probably a way to do this w/o calculus, but I cheated and used that.
A = Length * Width
A = x * ( 650 -2x)
A = 650x -2[tex]x^{2}[/tex]
d/dx ( A = 650x -2[tex]x^{2}[/tex])
0=650 -4x
4x = 650
x = 135 m
A= 650*135 -2*[tex]135^{2}[/tex]
A = 51,300 [tex]m^{2}[/tex]
Find the value of x.
Answer: 25 degrees
Step-by-step explanation:
Assuming that both triangles are to be connected and that they form a rectangle,
angle x can be found by subtracting 65 degrees from 90 degrees.
(all corners of rectangle=90 degrees)
90-65=25
Can anyone write the equation of the graph?
The absolute value function graphed in this problem is given by the rule presented as follows:
y = |x - 3| + 5.
How to obtain the graph of an absolute value function?The first step to obtain the graph of an absolute value function is obtaining the vertex of the function, which is the turning point of the curve in the format of V.
Then, the definition of an absolute value function with vertex (h,k) is defined by the equation presented as follows:
y = |x - h| + k.
For the graphed function, the coordinates of the vertex are given as follows:
(3,5).
The reason for these coordinates are as follows:
h = 3 as the turning point of the graph is at a coordinate of x = 3.k = 5 as the turning point of the graph is at a coordinate of y = 5.Considering the coordinates of the vertex obtained previously on the problem, the absolute value equation graphed is defined by:
y = |x - 3| + 5.
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What is the remainder when g(x)=2x-3 is divided by
2x^3-9x² + x +q
Answer:9x>6=76
Step-by-step explanation:9x>6=76
Nathan and Jorge are working on a decimal division problem in
math class. After finishing the problem, it looked like this: 4.76 ÷
2.5 = 0.19. Nathan said that the decimal is incorrectly placed in the
quotient, and Jorge disagrees. Who is right? Explain your answer
Answer:
Nathan
Step-by-step explanation:
4.76 / 2.5
= (476/100) / (25/10)
= (476/100) * (10/25)
= 238/125
= 1.904
Thus, Nathan is right in saying that the decimal is incorrectly placed in the quotient of the given answer 0.19
Solve for x:
[tex]\sqrt{x-3} =\sqrt{x} +3[/tex]
A. -2
B. 2
C. no solution
D. 4
Answer: The answer is C: No solution
Step-by-step explanation:
By squaring the other side (to therefor remove the square off X) you get [tex]x-3=x+6\sqrt{x} +9[/tex]
You then cancel out the equal terms, in this case x, to reach the equation:
[tex]-3=6\sqrt{x} +9[/tex]
This equation, has no solution, as the left side is always negative, and the right side will always be positive, making any statement for x false.
What number should go in the empty boxes to complete the calculation for finding the product of
To do the multiplication, we multiply 0.63 by each of the digits & decimal places of 0.24 (and align the products that we get) then add them together.
0.63 x 4 = 2.52, therefore the first missing spot is a 2.
0.63 x 2 = 1.26, therefore the second missing spot is a 2 (the 0 is so that the decimal point can be aligned for the result.)
Answer: Box 1: 2 Box 2: 2
Step-by-step explanation:
So, for box one it would be 2 because 3 x 4 = 12, put the 2 on the bottom and the 1 on the 6, then 6 x 4 + 1 = 25, then put the 5 on the bottom and the 2 on the top, then 4 x 0 + 2 = 2, so the answer would be 2.
For box 2, 252 + 1?60 = 0.1512, so we have to find the missing number. So, 2 + 0 = 2, so put the two on the bottom, then 5 + 6 = 11, so put the 1 on the bottom and the other 1 on the 2 from the first box, so 2 + 1 = 3, plus 2 more would equal 5, so the second box would be 2.
Hope this helps!
a solid triangular prism has a height of 12 inches. the triangular base of this prism is shown below. what is the surface area, in square inches, of this prism?
The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².
What is surface area?Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.
To calculate the surface area of the triangular prism, we use the formula below.
Fromula:
S.A = (a+b+c)L+bh.................... Equation 1Where:
S.A = Surface area of the prisma , b, c = Three sides of the base triangle respectively.h = Height of the triangular baseL = Lenght of the prismFrom the question,
Given:
L = 12 ina = 5 inb = 9 inc = 7.2 inh = 4 inSubstitute these values into equation 1
S.A = (5+9+7.2)12+(4×9)S.A = 254.4+36S.A = 290.4 in²Hence, the right option is B. 290.4 in².
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What is the zero of g?
(-6,0)
(-3, -4.5)
(-8, 0)
(0,-9)
Answer: Either C. or D.But I'm sure it's D.
Step-by-step explanation:
the length of a rectangle is increasing at the rate of 6 \text{ cm/s}6 cm/s, and its width is increasing at a rate of 2 \text{ cm/s}2 cm/s. when the length is 40 \text{ cm}40 cm and the width is 15 \text{ cm}15 cm, how fast is the area of the rectangle increasing?
The rectangle's area is growing at a rate of 170 cm per second.
Given that,
Area of Rectangle given by.
A = length x width
A = LW
L =length of Rectangle
W =width of Rectangle
Now, dA/dt = W dl/dt + l dw/dt
dA/dt is the rate of change of area of the rectangle
dl/dt is the rate of change of length of the rectangle
dw/dt is the rate of change of width of the rectangle
at L = 40cm, W= 15 cm
dw = 2 cm/s,
dl = 6 cm/s,
dA = ?
dA/dt = W dl/dt + l dw/dt
= 15x6 + 40x2
= 90 +80
=170 cm /sec
Thus, the area of the rectangle increasing at 170 cm /sec
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123 1/23 +(−123 1/23 )
Answer: positive
Step-by-step explanation:
123 1/23 + (-123 1/23)
123 1/23 - 123 1/23 = 0
0 is a positive number and not negative so the answer is negative
the mean selling price of senior condominium in green valley over a year was $215,000. the population standard deviation was $25,000. a random sample of 100 new unit sales was obtained. a. what is the probability that the sample mean selling price was more than $210,000?
The probability that the sample mean selling price was more than $210,000 is 0.9772.
The given values are:
The mean selling price(μ) = $215000
Standard deviation(σ) = $25000
The random sample (n) = 100
We have to find the probability that the sample mean selling price was more than $210000.
z-score with z-bar= 210000
z = (x-bar - μ) / (σ/ √n)
= ( 210000 - 215000) / (25000/ √100)
= -5000/ 2500
=-2
Using z-tables, the probability is:
Probability = P[z> -2]
= 1 - 0.0228
= 0.9772
Therefore the probability is 0.9772.
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an envelope contains eight bills: ones, fives, tens, and twenties. two bills are drawn at random without replacement. what is the probability that their sum is $ or more?
Using the concepts of probability, we got 0.5 is the probability of drawing the sum $20 or more when two bills are drawn randomly without replacement.
We have an envelope contains 8 bills;
Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.
When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.
Total outcomes = 2 x 2 x 2 x 2 = 16
Total possible outcomes, more than 20;
(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases
That is,
The total possible outcomes is 8.
Now,
The probability of bill to be $20 or more = Possible outcome / Total outcome
Probability = 8/16 = 1/2=0.5
Hence, When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 0.5.
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(Complete question)
an envelope contains eight bills: 2 ones, 2 fives, 2 tens, and 2 twenties. two bills are drawn at random without replacement. what is the probability that their sum is $20 or more?
i,d like to order 7 halves for my family plus i want some extra for y 6 friends they'll each want a quarter whats the answer
The total number of cupcakes ordered, using proportions, is of:
5.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem to find the desired amounts in the same context of the problem.
These amounts are found using basic arithmetic operations, especially multiplication and division, with the unit rates in the context of the problem.
In this problem, the amounts are given as follows:
Family: Seven halves of cupcakes = 7/2 = 3.5 cupcakes.Friends: Six quarters of cupcakes = 6/4 = 1.5 cupcakes.The total number of cupcakes that will be ordered is the sum of the amounts that will be needed for the family and for the friends, hence:
3.5 cupcakes + 1.5 cupcakes = 5 cupcakes.
Missing InformationThe problem is:
I'd like to order 7 halves of cupcakes for my family plus an amount for six friends, considering that each of them wants a quarter. What is the total amount?
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For what values of x is the absolute value function ƒ(x) = |x + 1| − 3 increasing?
By identifying the vertex of the function, we conclude that it is increasing for:
x > -1
For what values of x is the function increasing?Here we have an absolute value function:
f(x) = |x + 1| - 3
This absolute value function has a positive coefficient, which means that the function opens upwards, so it looks like a regular "V" letter.
The function is increasing when, reading from left to right, we see that the line goes upwards. And for functions like this, this happens for values of x larger than the vertex x-value.
For:
f(x) = |x + 1| - 3
The vertex is at (-1, -3)
Then the function is increasing for x > -1
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3 (2− k) = −3k + 2
I need this for class
The value of k for the expression, 3 (2− k) = −3k + 2, does not exist.
According to the question,
We have the following expression:
3 (2− k) = −3k + 2
Now, we will multiply 3 into the bracket:
6-3k = -3k+2
Now, moving -3k from the left hand side to the right hand side will result in the change of the sign from minus to plus:
6-3k+3k = 2
Now, 3k will get subtracted from 3k. So, we do not have any variable left for this equation.
Hence, the value of k for the expression, 3 (2− k) = −3k + 2, does not exist.
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5. (x+3)(x-3)+(x-3)²
Simplify the expression above in standard form.
Answer: 2x^2 -6x
Step-by-step explanation:
First you should distribute the x's as shown:
(x)(x)+(x)(−3)+(3)(x)+(3)(−3)+x2+−6x+9=x2+−3x+3x+−9+x2+−6x+9
Then combine Like terms:
↓x2+−3x+3x+−9+x2+−6x+9=↓
↓(x2+x2)+(−3x+3x+−6x)+(−9+9)↓
2x2+−6x
Hope this helped... :)
what was the major flaw in the stanford prison experiment? question 9 options: a) the respondents wanted to leave, but zimbardo would not let them. b) the students were not randomly assigned. c) the study went on too long. d) zimbardo did not use a control group.
Zimbardo did not use a control group. Experiments are performed to reach meaningful conclusions using the appropriate research method. The correct answer is (A).
Experiments whether they are done in natural settings or in a controlled environment need to follow certain ethics. But the Stanford Prison Experiment is an exception. In this experiment, Philip Zimbardo, the Stanford psychologist, took paid participants and asked them to be “guards” in a mock prison at Stanford University.
As soon as the experiment began, the “guards” began mistreating the “prisoners,” in order to provoke evil circumstantially. The conclusion of the study suggested innocent people, thrown into a situation where they have power over others, will begin to misuse that power. And people who are put into a situation where they are powerless will be driven to submission.
The Stanford Prison Experiment has proved to be a Fraud. Philip Zimbardo, the Stanford psychologist who did the experiment, and interviews of the participants, offers convincing evidence that the guards in the experiment were trained to be cruel. This proves that the experiment’s most memorable moment of a prisoner screaming out of rage and proclaiming, “I’m burning up inside!” was the result of the prisoner's acting skills. Many of them think of this study as more of a dramatic demonstration with no real outcomes. The Zimbardo prison experiment is a classic study that has been recently reevaluated and exposed as a fraud.
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sydney wants to make 15 beaded rings for a craft show. she needs 60 beads for each ring. she has 852 beads. does sydney have enough beads to make 15 complete rings?
No , Sydney does not have enough beads to make 15 rings .
beads required for one ring = 60
total rings she have to make is = 15
total beads she has to make rings = 852 beads
now,
60 beads make ring = 1
852 beads make rings = 1/60 x 852
= 14.2 rings
OR
14 total rings
So , Sydney does not have enough beads to make 15 rings . she can only make 14 beads from the given amount of beads.
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Which graph represents an odd function?
Answer:
Step-by-step explanation:
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 38 ft.) Round to the nearest tenth of a foot.
The distance up the house the ladder will reach after pulling it 10 feet further from the base of the house is 43.9 ft.
How to find the height of the ladder ?The ladder is set against the side of the house so that it reaches up 48 feet. Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house.
The height of the ladder on the house can be computed as follows:
The situation form two right angle triangle.
The initial distance of the base of the ladder from the house can be calculated as follows;
using Pythagoras's theorem,
b² = 50² - 48²
b = √2500 - 2304
b = √196
b = 14 ft.
Therefore, the initial distance of the ladder from the base of the house is 14 feet.
Let's find the height of the ladder on the house after pulling it 10 ft further.
using Pythagoras's theorem,
b² = 50² - 24²
b = √2500 - 576
b = √1924
b = 43.8634243989
b = 43.9 ft
Therefore,
height of the ladder up the house = 43.9 ft
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the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.
As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.
Define the term normal approximation?The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.
The population value corresponds to the assumption of a sample fraction or average.Because summing big values might be cumbersome or impossible with certain discrete distributions, such as the Binomial or Poisson distributions. The Normal Distribution, thankfully, provides us to approximation the probability for random variables which would otherwise be impossible to quantify.Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.
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The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the twelfth bid?
195, 205, 215, 225,...
A(n) =
A(12) =
(Type an expression using n for the variable.)
(Simplify your answer.)
(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.
(b) The 12th term of the sequence is A(12) = 305.
What is an arithmetic sequence?One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...
The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.
A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.
A(n)=195+(n-1)10
The given arithmetic sequence is 195, 205, 215, 225,.....
The first term a =195
The common difference d= 205-195
d =215-205
d =225-215
So, d = 10
(a) The nth term is given by
A(n)=a+(n-1)d
A(n)=195+(n-1)10
(b) For n=12, the 12th term is given by
A(12)=195+11(10)
A(12)=305
Therefore, A(n)=195+(n-1)10
And A(12)=305
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Darren is building a fence using panels that are sold in 5ft lengths. The perimeter of the fence is 42yds. How many fence panels should Darren buy?
Answer:
6666667
Step-by-step explanation:
Solve for x.
4(2x-17)=4x+(-5)
Step-by-step explanation:
4(2x-17) = 4x+(-5)
Open the bracket
8x - 68 = 4x - 5
Collect like terms
8x - 4x = -5 + 68
2x = 63
x = 63/2
x = 31.5
Translate the sentence into an equation.
Seven more than the quotient of a number and 6 is equal to 2.
Use the variable x for the unknown number.
Answer:
Step-by-step explanation:
Let's break down the problem:
Quotient = result obtained by dividing one quantity by another
So its division of x (a number implying variable) by 6
Then it says equal to 2 so we can piece together an equation like this
x/6 = 2
Then we use algebra to solve it
6(x/6)= (2)6
x = 12
So 12 is the unknown number
Which of the following numbers could be the probability of an event?
1, -0.5, 0.29, 0.06, 1.18, 0
Question: The numbers that could be a probability of an event are_
(Use a comma to separate answers as needed.)
The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.
Explain about the probability?
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
-0.5 cant be a probability because it is less than 0
0.29 can be a probability because it is more than zero.
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The numbers that could be a probability of an event are 0.29 and 0.06
What is a probability?An event's probability is always between 0 and 1. (inclusive).
This implies:
There can be just one.
It must be zero or less.
Evaluation of Option (a) - 0.5
This cannot represent probability (b) 0.29 because it is less than 1,
This can be used to represent probability (c) 0.06 since it lies between 0 and 1.
This can be used to indicate probability (d) 1.18 since it is less than 1.
Given that this is larger than 1, it cannot be a probability (e) 0
A probability is not zero.
This ranges from 0 to 1, so it can be used to express probability.
Therefore, 0.29 and 0.06 can be used to indicate probabilities.
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FInd the value of x in each case.
pls help i will give 100 points
Answer:
x=10
Step-by-step explanation:
4x+5x+angle g should equal 180 degrees total.
with this in mind, we can subtract angle g from 180, as it is know,. (180-90)
so 4x+5x=90. 9x=90, x=10.
hope this helps.
Check the picture below.
If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is: (a) 4.6% compounded annually: $ 2195.05 correct (b) 4.6% compounded semiannually: $ (a) 4.6% compounded quarterly: $ 2211.88 correct (b) 4.6% compounded monthly: $ 2215.75 correct (a) 4.6% compounded daily (ignore leap years): $ 2217.63 correct
The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05, (b) $2206.18 (c) $2211.88 (d) $2215.75, and, (e) $2217.63
The formula for Compound Interest is
Amount = Principal X (1 + r/n100)ⁿˣ
where,
Principal = original mount
n = no. of times the interest is applied
t = time period
Here,
Principal = $1400
x = 10
r = 4.6
a)
Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year
Hence,
n = 1
Amount = 1400 X (1 + 4.6/100)¹⁰
= 1400 X (104.6/100)¹⁰
= 1400 X (1.046)¹⁰
= $2195.05
b)
Since the interest is compounded semi-annually here, it will be calculated twice a year.
Hence, n = 2
Therefore we get
Amount = 1400 X (1 + 4.6/200)²⁰
= 1400 X (204.6/200)²⁰
= 1400 X (1.023)²⁰
= $2206.18
c)
Since it is compounded 4 times a year now,
n = 4
Hence we get
Amount = 1400 X (1 + 4.6/400)⁴⁰
= 1400 X (1.0115)⁴⁰
= $2211.88
d)
Here, the interest is calculated 12 times a year
Hence we get
Amount = 1400 X (1 + 4.6/1200)¹²⁰
= 1400 X (10038)¹²⁰
= $2215.75
e)
Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.
Hence,
n = 365
Therefore, we get
Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰
= 1400 X (1 + 4.6/36500)³⁶⁵⁰
= 1400 X (1.00012)³⁶⁵⁰
= $2217.63
Correct Question
If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:
(a) 4.6% compounded annually
(b) 4.6% compounded semiannually
(c) 4.6% compounded quarterly
(d) 4.6% compounded monthly
(e) 4.6% compounded daily (ignore leap years)
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Write the equation of the
line that is perpendicular to
y = -7/5x + 1 and goes
through (5, 3)
A) y= 7/5x-4/7
B) y= -7/5x-4/7
C) y= 5/7x-3/7
D) y= 5/7x-4/7
E) y= 1/7x+3
Answer:
Step-by-step explanation:
The answer is D.
The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7
Find the Length of X , please show how you found your answer
The length of the x is 4.8 units
In the given figure
There is one circle and 2 chords
The chord of the circle is defined as the line segment joining any two points one the circumference of the circle
There are two chords in the figure, those are BD and AC
We know that
DE × EB = AE × EC
This is the rule of chords in the circle
The length of DE = 10 units
The length of EB = x units
The length of AE = 6 units
The length of EC = 8 units
Substitute the values in the equation
10 × x = 6 × 8
10x = 48
x = 48/10
x = 4.8 units
Hence, the length of the x is 4.8 units
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