Answer: The answer to your question is the square root of 65
Click and drag like terms onto each other to simplify fully.
-y−y+4x+4x-3−3+2+2+2+2-5x−5x
(-y −y) + (4x + 4x) + (-3 −3 + 2 + 2 + 2 + 2) + (-5x−5x)
-2y + 8x + 2 - 10x
-2y -2x +2
HELP ASAP!!!
similar triangles
The proportional relationship among the side lengths in the similar triangles is given as follows:
25/40 = 20/32 = 17.5/28.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The equivalent side lengths for the similar triangles are given as follows:
25 and 40.20 and 32.17.5 and 28.Hence the proportional relationship is given as follows:
25/40 = 20/32 = 17.5/28.
The triangles are similar as all these rates are of 0.625.
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A protractor is used to measure an angle. Which of the following could be the measure of the angle if we know it is an acute angle?
125°
75°
0°
it can't be determined
Answer:
75
Step-by-step explanation:
An acute angle has a measure of less than 90 degrees.
Answer:
75°
Step-by-step explanation:
acute angle is an angle less than 90°
8. Write an inverse variation equation relating x and y when x = 18 and y = 4.5. (64) help pliz
Answer:
answer are
a.k=13.5;13.5y=x
b.k=1.5;y=1.5x
c.k=1.5;y=1.5/x
d.k=13.5;xy=13.5
"
Find the absolute maximum and minimum, if either exists, for
each function on the indicated intervals. f(x) = x^4 - 4x^3 +5
a. [-1,2]
b. [0,4]
c. [-1,1]
"
The absolute maximum value of f(x) on the interval [-1,1] is f(-1) = 10, and the absolute minimum value is f(3) = -4.
To find the absolute maximum and minimum values of the function f(x) = x^4 - 4x^3 + 5 on the given intervals, we need to find the critical points and the endpoints of each interval, and then evaluate the function at these points to determine which one gives the maximum or minimum value.
a. [-1,2]
The critical points of f(x) occur where f'(x) = 0 or where f'(x) does not exist. We have:
f(x) = x^4 - 4x^3 + 5
f'(x) = 4x^3 - 12x^2
f''(x) = 12x^2 - 24x
Setting f'(x) = 0, we get:
4x^3 - 12x^2 = 0
4x^2(x - 3) = 0
x = 0, 3
We also have f''(0) = 0 and f''(3) = 18, so x = 0 is a point of inflection and x = 3 is a local minimum.
Evaluating f(x) at the endpoints and critical points, we get:
f(-1) = 11
f(0) = 5
f(2) = 5
f(3) = -4
Therefore, the absolute maximum value of f(x) on the interval [-1,2] is f(-1) = 11, and the absolute minimum value is f(3) = -4.
b. [0,4]
The critical points of f(x) occur where f'(x) = 0 or where f'(x) does not exist. We have:
f(x) = x^4 - 4x^3 + 5
f'(x) = 4x^3 - 12x^2
f''(x) = 12x^2 - 24x
Setting f'(x) = 0, we get:
4x^3 - 12x^2 = 0
4x^2(x - 3) = 0
x = 0, 3
We also have f''(0) = 0 and f''(3) = 18, so x = 0 is a point of inflection and x = 3 is a local minimum.
Evaluating f(x) at the endpoints and critical points, we get:
f(0) = 5
f(4) = 69
f(3) = -4
Therefore, the absolute maximum value of f(x) on the interval [0,4] is f(4) = 69, and the absolute minimum value is f(3) = -4.
c. [-1,1]
The critical points of f(x) occur where f'(x) = 0 or where f'(x) does not exist. We have:
f(x) = x^4 - 4x^3 + 5
f'(x) = 4x^3 - 12x^2
f''(x) = 12x^2 - 24x
Setting f'(x) = 0, we get:
4x^3 - 12x^2 = 0
4x^2(x - 3) = 0
x = 0, 3
We also have f''(0) = 0 and f''(3) = 18, so x = 0 is a point of inflection and x = 3 is a local minimum.
Evaluating f(x) at the endpoints and critical points, we get:
f(-1) = 10
f(0) = 5
f(1) = 2
f(3) = -4
Therefore, the absolute maximum value of f(x) on the interval [-1,1] is f(-1) = 10, and the absolute minimum value is f(3) = -4.
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g if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, what is the maximum likelihood estimate for the bias of this coin (p(heads))? round to the nearest 0.001.
The probability or the maximum likelihood estimate for the bias of this coin (p(heads)) is 0.028
What is probability?Probability is the likelihood of an event
What is the maximum likelihood estimate for the bias of this coin (p(heads))?Since you're estimating the bias of a coin that came up heads 10 times and tails 20 times, to find the maximum likelihood estimate for the bias of this coin (p(heads)), we use a binomial probability
What is a binoimial probability?
A binomial probability is the probability of events that can have only two possible outcomes.
It is given by P(X = x) = ⁿCₓpˣqⁿ⁻ˣ where
n = total number of trials, x = number of required trials, p = probability of successes and q = probability of failuresGiven that the bias of a coin that came up heads 10 times and tails 20 times, we have that
n = 10 + 20 = 30, x = 10 (maximum number of heads) and p = q = 1/2(since it is a biased coin and has only two possible outcomes)So, to get the maximum likelihood estimate for the bias of this coin (p(heads)), we substitute the values of the variables into the equation, So,
p(heads) = P(X = x) = ⁿCₓpˣqⁿ⁻ˣ
P(X = 10) = ³⁰C₁₀p¹⁰q³⁰⁻¹⁰
= ³⁰C₁₀p¹⁰q²⁰
= ³⁰C₁₀(1/2)¹⁰(1/2)²⁰
= ³⁰C₁₀(1/2)³⁰
= 30045015 (1/2)³⁰
= 0.027982
≅ 0.028
So, p(heads) = 0.028
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I need help fast please and thank you I'll mark you brain list
Answer:
A and B are true statementsStep-by-step explanation:
A. 2^8 × 2^9 = 2^(8+9) = 2^17 ⇒ TRUEB. 8^2 × 9^2 = (8×9)^2 = 72^2 ⇒ TRUEC. 8^2 × 9^2 = 72^2 ≠ 74^2 ⇒ FALSED. 2^8 × 2^9 = 2^17 ≠ 4^17 ⇒ FALSEFind the value of a^2+b√c−d, when a = –3, b = 2, c = 100, and d = –2.
Step-by-step explanation:
a² + b √c - d
(-3)² + 2 √100 - - 2
9 + 2 √100+2 (as - next to - turn into a +)
9+2√102
9+2+√102
= 21.09950494
or
9+2-√102
= 0.9004950616
The value of the expression a² +b √ c − d on putting The value of, a = –3, b = 2, c = 100, and d = –2 is 31.
What is expression?
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The value of, a = –3, b = 2, c = 100, and d = –2.
Given expression = a² +b √ c − d
Calculate the value of the expression a² +b √ c − d as shown below,
Put the value in the expression,
a² +b √ c − d = (-3)² + 2 × √100 - (-2)
a² +b √ c − d = 9 + 2√(10 × 10) + 2 (Factorize 100 as 10 × 10)
a² +b √ c − d = 9 + 2 × 10 + 2
a² +b √ c − d = 9 + 20 + 2
a² +b √ c − d = 31
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Helpppppppppppppppppppp please...................
Answer:
C and D
I am pretty sure
Remy wanted to measure the angle of the slide in the playground. He used a piece of folded paper that was 10°. He measured that 3 of the folded paper angles would fit in the angle made by the slide. What was the angle of the slide?
Answer:
30°
Step-by-step explanation:
Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:
10° * 3 = 30°
The angle of the slide is 30°
A pool measuring 12 meters by 22 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 936 square meters. What is the width of the path?
The width of the path is 1 meter. This makes the length of the pool including the path 14 meters and the width 24 meters,
Let's denote the width of the path as x. Then the length of the pool including the path is 12 + 2x meters and the width is 22 + 2x meters. The total area of the pool and the path combined is given as 936 square meters, so we can set up an equation:
(12 + 2x)(22 + 2x) = 936
Simplifying this equation, we get:
4x^2 + 68x - 72 = 0
Factoring this quadratic equation, we get:
(x + 9)(4x - 8) = 0
Since the width of the path cannot be negative, we can only consider the positive root, which is: x = 2
Therefore, the width of the path is 2 meters.
But wait, this is not the final answer! We need to remember that the width of the path is uniform, which means it is the same on all sides of the pool.
If the width of the path is 2 meters, then the length of the pool including the path is 16 meters and the width is 26 meters. This gives a total area of: 16 x 26 = 416 square meters
which is clearly less than 936 square meters. Therefore, we made a mistake in our calculation and the width of the path cannot be 2 meters.
Let's go back to our quadratic equation and solve for x again: 4x^2 + 68x - 72 = 0
Dividing both sides by 4, we get:
x^2 + 17x - 18 = 0
Factoring this quadratic equation, we get:
(x + 18)(x - 1) = 0
Again, we can only consider the positive root, which is:
x = 1
Therefore, the width of the path is 1 meter. This makes the length of the pool including the path 14 meters and the width 24 meters, giving a total area of: 14 x 24 = 336 + 600 = 936 square meters, which confirms that our solution is correct.
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there are 500 students and 325 say they have too much homework what percent said they have too much homework
Answer:
65%
Step-by-step explanation:
To find percentage, we take the fraction of the total and multiply it by 100.
\(\frac{325}{500} \times=\frac{325}{5}=65\)
Answer:
\(153.84\%\)
Step-by-step explanation:
\( 1. \: \frac{500}{3.25} \\ 2. \: 153.84\%\)
a sample of 224 students showed that they attend an average of 2.6 school athletic events per year with a standard deviation of 0.8. determine a 90% confidence interval for the population mean
We can say with 90% confidence that the population mean of school athletic events attended by students is between 2.485 and 2.715.
To determine the 90% confidence interval for the population mean, we need to use the formula:
CI = x ± Z(α/2) × (σ/√n)
Where:
x = sample mean = 2.6
σ = sample standard deviation = 0.8
n = sample size = 224
α = significance level = 1 - 0.90 = 0.10 (since we want a 90% confidence level)
Z(α/2) = the critical value from the standard normal distribution table, which corresponds to the significance level. For a 90% confidence level, Z(0.05) = 1.645.
Plugging in the values, we get:
CI = 2.6 ± 1.645 × (0.8/√224)
CI = 2.6 ± 0.115
CI = (2.485, 2.715)
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use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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Write an example from daily life that uses each type of real number.
rational numbers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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Write an equation of the line with a slope of 2/3and y-intercept of −8. y=
Answer:
The slope-intercept form of a linear equation is:
y=mx+b Where m is the slope and b is the y-intercept value.Substituting the values from the problem gives y=2/3x+−5 y=2/3x−5
Step-by-step explanation:
11) Graph the line that goes through the point (-1,-2) and has a slope of 2 5
First we will calculate the slope of the line
\(m=\frac{2}{5}\)Now, let calculate
\(\begin{gathered} b=y-mx \\ b=-2-\frac{2}{5}(-1) \\ b=-2+\frac{2}{5} \\ b=-\frac{8}{5} \end{gathered}\)The equation would be
\(y=\frac{2}{5}x-\frac{8}{5}\)Graph
What is the factorization of 2x2 + 7 x + 6?
A.(2x+3)(x+2)
B.(2x+2)(x+3)
C.(x+3)(x+2)
D.(x+3)(x+6)
Graphs must be hand drawn or sketched (no excel plots/graphs). Be sure to
note key values/points on the graph (e.g., y-intercept, slope, etc.).ay=7x+1
The graph of the equation y = 7x + 1 can be hand-drawn or sketched to visualize its shape and key values. It is a straight line with a slope of 7 and a y-intercept of 1.
To hand-draw or sketch the graph of the equation y = 7x + 1, we can start by plotting a few key points on the Cartesian plane. Since the equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we know that the line will have a slope of 7 and will intersect the y-axis at the point (0, 1).
From the y-intercept (0, 1), we can use the slope of 7 to find additional points on the line. For example, if we move one unit to the right (x = 1), we will move 7 units upward (y = 8). Similarly, moving two units to the right (x = 2) will result in moving 14 units upward (y = 15).
By connecting these points on the Cartesian plane, we can sketch a straight line that represents the graph of the equation y = 7x + 1. The slope of 7 indicates that the line has a constant steepness, and the y-intercept of 1 shows where the line intersects the y-axis. This hand-drawn or sketched graph helps us visualize the relationship between x and y values in the given equation.
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Becca sells bracelets for $9 each. She has to pay $4.35 for the materials for each bracelet. How much money does she make from each bracelet after she pays herself back for the materials? How much money does becca make from the sale of 15 bracelets?
i am marking brainiest
Answer:
$4.65$69.75Step-by-step explanation:
How much money she makes from each bracelet:
9-4.35=$4.65
How much money she makes from the 15 bracelets:
4.65 x 15= $69.75
Answer:
Part 1: 4.65
Part 2: 69.75
Step-by-step explanation:
The first question is "How much money does she make from each bracelet after she pays herself back for the materials?"
To answer that, we must find how much she is selling them for ($9) and subtract the cost of the materials from it ($4.35), which equals 4.65
The second question is How much money does becca make from the sale of 15 bracelets?
In other words, they are only asking for the profit made which means they don't want the materials used cost included. So we can use the answer from before and multiply by 15, so 4.65*15=69.75.
Hope that makes it clear, and good luck with studies :)
A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?
Answer:
75 km
Step-by-step explanation:
(50km/h)(1.5h) = 75km
Write a cosine function that has a midline of 2, an amplitude of 3 and a period of 7π4\frac{7\pi}{4}47π.
The cosine function with a midline of 2, an amplitude of 3, and a period of 7π/4 is f(x) = 3 cos(8x/7) + 2.
A cosine function that has a midline of 2, an amplitude of 3, and a period of 7π/4 can be written in the form:
f(x) = A cos(Bx) + C, where:
A = amplitude
= 3C
= midline
= 2B
= 2π/period
= 2π / (7π/4)
= 8/7
We will get the cosine function after substituting the values of A, B, and C in the general form:
f(x) = 3 cos(8x/7) + 2
Thus, the cosine function with a midline of 2, an amplitude of 3, and a period of 7π/4 is f(x) = 3 cos(8x/7) + 2.
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HELLO IS ANYONE GOOD AT MATH IF SO PLEASE ANSWER THIS IS DUE TONIGHT
Draw where the dots go on the graph please
please helpppppppppp
Answer:
Phoebe: 180
Andy: 60
Polly: 30
Step-by-step explanation:
Let Polly's money be P
Then Andy's money = P * 2 = 2P
Then Pheobe's money = 2P * 3 = 6P
There are 9 P's (P + 2P + 6P)
270 / 9 P's = 30
Therefore P = 30
Polly gets $30
Andy gets 30 * 2 = $60
Phoebe gets 60 * 3 = $180
Checking:
180 + 60 + 30 = 270
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Jadiel wants to take his buddies out for pizza. Each medium
pepperoni pizza costs $10, and he has only $23 in his pocket. How
much money would he have to borrow to order three medium
pepperoni pizzas?
Answer:
7$
Step-by-step explanation:
1) 3x10=30 so 30 is how much money he needs
2)30-23=7 so 7 is how much he needs to borrow
Answer:
$7
Step-by-step explanation:
The reason is because three medium pepperoni pizzas cost $30, because you have to multiply $10x3 since each pizza cost $10. He already has $23 dollars in his pocket. You have to subtract his total value which is $23 from $30 to get $7.
use a table an equation and a graph to represent Bob is 9 years older than his dog
Let b be the age of Bob, and d be the age of the dog. We'll have that
\(b=d+9\)(Bob is 9 years older than his dog)
Now, let's do a table and a graph to represent this equation:
Table:
Graph:
help me please i beg of you
Answer:
y = x + 14
Step-by-step explanation:
plug any two x and y coordinates into y = mx + b, then simplify
=> 14 = m(0) + b => b = 14
=> 15 = m(1) + b => 15 = m + b
solve for m by plugging b
=> 15 = m + 14 => m = 1
plug in the values of b and m into y = mx + b, then simplify
=> y = (1)x + 14 => y = x + 14
What is 92,119 rounded to the nearest thousand?
Answer: 92,000
Step-by-step explanation:
Answer:
Its 92,000
Step-by-step explanation:
Hope this helps!!
Hello can you help me solve this question please
Answer: Radius=19.2 diameter=38.39
Step-by-step explanation: :DDD
Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =
Answer:
4/5
sin A = perpendicular/hypotenuse
sinA = 28/35
sinA = 4/5
hope it helps
option B
Answer:
B. Sin A = \(\frac{4}{5}\)
Step-by-step explanation:
Sin A = opposite / hypotenuse
Sin A = 28 / 35
Divide both by 7
28 / 7 = 4
35 / 7 = 5
\(\frac{28}{35} = \frac{4}{5}\)