Answer:
When \( p^2 - 4p \) is subtracted from \( p^2 + p - 6 \), the result is \( 5p - 6 \). To get \( p - 9 \), subtract \( 4p + 3 \) from the result.
Step-by-step explanation:
✔️Subtracting \( p^2 - 4p \) from \( p^2 + p - 6 \):
\( (p^2 + p - 6) - (p^2 - 4p) \)
\( p^2 + p - 6 - p^2 + 4p \) (Distributive property)
Collect like terms
\( p^2 - p^2 + p + 4p - 6 \)
\( 5p - 6 \)
✔️Subtracting \( p - 9 \) from \( 5p - 6 \):
\( (5p - 6) - (p - 9) \)
\( 5p - 6 - p + 9 \) (distributive property)
Add like terms
\( 4p + 3 \)
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold 3/10 of them so far. If each candy bar costs $1.25, how much money has vincent raised?
Answer:
$7.25
Step-by-step explanation:
6*1.25
Answer:
7.50
Step-by-step explanation:
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
The image below has the following translation: (x, y) → (x +4, y - 1)
Determine the ordered pair for F' after the translation.
a. F' (-1, 3)
b. F' (-9, 5)
c. F' (8, -6)
d. F' (4, -1)
the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
Vertical angles are:
Always congruent
Sometimes congruent
Never congruent?
Answer:
always
Step-by-step explanation:
bc it’s right lolz
4.30. An internet service provider has two connection lines for its customers. Eighty percent of
customers are connected through Line I, and twenty percent are connected through Line II.
Line I has a Gamma connection time with parameters a = 3 and λ = 2 min-¹. Line II has
a Uniform(a, b) connection time with parameters a = 20 sec and b = 50 sec. Compute the
probability that it takes a randomly selected customer more than 30 seconds to connect to
the internet.
Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.
What is the uniform probability distribution?It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.
The probability of finding a value above x is:
\(P(X > x) = \frac{b - x}{b - a}\)
For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.
The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).
Hence, applying the formula, with the bounds, we have that:
P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.
The measure above is the desired probability.
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Sasha selected a random sample of bivariate data, with a sample size of 30, and calculated a slope of 3.6 for the sample slope of a regression model. Sasha constructed a 95 percent confidence interval to estimate the slope. Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same. Which of the following sample sizes will make Alex's claim true?
A. 10
B. 15
C. 20
D. 25
E. 35
The sample size that will make the Alex's claim true is option E. 35.
What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.
This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.
Sample size of Sasha = 30
She took a confidence interval of 95%.
Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same.
The relation between the sample size and confidence interval is that when the size of sample increases, the confidence interval becomes narrower.
So if the Alex's claim has to be true, sample size must increase.
He can use sample size of 35.
Hence the correct option is E.
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Can the sides of a triangle have lengths of 34, 23, and 12? If so what kind of triangle is it?
Which of the following is not a benefit of just-in-time processing?
O Control of significant inventory balances
O Production cost savings
O Reduction of rework costs
O Enhanced product quality
Step-by-step explanation:
The answer is:
- Control of significant inventory balances
This is because just-in-time processing is a system that emphasizes on producing goods or services at the exact time they are needed, without accumulating inventory. Therefore, it does not prioritize the control of significant inventory balances. The other options are benefits of just-in-time processing.
answer this to get 50
The domain of the function {(4, 19), (-2, 77), (0, 10), (1 / 2, 9 / 5), (1, 10), (-3, 0), (100, 100) } is 4, -2, 0, 1 / 2, 1, -3, and 100 and the range is 19, 77, 10, 9/ 5, 10, 0, and 100.
How to find the domain and range of a function?A function relates an input to an output. A function relates each element of a set with exactly one element of another set.
The domain of a function is the set of all possible inputs for the function. The domain is the independent variable of a function. The domain is the x values.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range are the y values
Therefore,
{(4, 19), (-2, 77), (0, 10), (1 / 2, 9 / 5), (1, 10), (-3, 0), (100, 100) }
Hence,
domain = {4, -2, 0, 1 / 2, 1, -3, 100}
range = {19, 77, 10, 9/ 5, 10, 0, 100}
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put these decimals lease to greatest 2.16,2.1682,2.2,2.016?
Answer:
2.016, 2.16, 2.1682, 2.2
How to put anything from least to greatest?
The decimals that you have put are the following:
2.16
2.1682
2.2
2.016
How to do it:
If you look at the decimals the last one, 2.016 does not have a 1 or a 2 instead it has a 0 so that would be a our first decimal in the least to greatest form.
We can also include the third one 2.2 is the only one that has a 2 so now we know that 2.2 will go last.
Lets compare the first and second ones which are 2.16 and 2.1682 and I think we obviously know that the answer is 2.1682 because it is greater then 2.16.
So now here are the decimals from least to greatest:
2.016, 2.16, 2.1682, 2.2
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls
Answer:
1.99%. (2% rounded)
Step-by-step explanation:
The total number of ways to select 4 children out of 40 is given by the combination formula:
C(40,4) = 40! / (4! * (40-4)!) = 91,390
The number of ways to select 4 girls out of 16 is given by the combination formula as well:
C(16,4) = 16! / (4! * (16-4)!) = 1,820
Therefore, the probability of selecting 4 girls out of the group of 40 children is:
P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%
So the probability that all 4 helpers will be girls is approximately 1.99%
Hope this helps!.
enlarge this shape by scale factor 3 on the grid below
Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)
Answer:
triangle KLM is isosceles
Step-by-step explanation:
\(kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } \)
therefore it is isosceles.
Helppppppppppppppppppppppp please
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
Triangles
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
Rectangle
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68
PLEASE HELP! The height of a bottle rocket, in meters, is given by \(h(t) = -3t^{2} +36t+300, where t is measured in seconds. Compute the average velocity of the bottle rocket over the time interval t = 3 to t = 6.
Answer:
63 m/s
Step-by-step explanation:
h(3) = 3(3)² + 36(3) + 300 = 435
h(6) = 3(6)² + 36(6) + 300 = 624
v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s
30 POINTS!!!!!! HELP ASAP! At cruising speed a car burns fuel at a rate of 2.5 kilograms per hour the mass of the car including the fuel when it reaches cruising speed is 1,550 kg and the mass of the car when the fuel tank is empty is 1,520 kg. the domain of the function f(t) is best described as
The domain of the function f(t) is best described as 608 ≤ t ≤ 620
How to determine the domain of the function?From the question, we have the following parameters that can be used in our computation:
Rate = 2.5 kilograms per hour
Mass of the car (including the fuel) = 1550 kg
Mass of the car (not including the fuel) = 1520 kg
Calculate the times using the rate and the masses above
So, we have the following representations
Time 1 = 1550/2.5
Time 1 = 620
Time 2 = 1520/2.5
Time 2 = 608
Express as an interval
608 ≤ t ≤ 620
Hence, the domain is 608 ≤ t ≤ 620
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the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)
Answer:
the simple interest rate is 18.00%
Step-by-step explanation:
The computation of the simple interest rate is shown below:
Amount = Principal × (1 + rate)^years
$4,935 = $3,000 × (1 + rate)^3
After solving it, the rate of percentage is 18.00%
Hence, the simple interest rate is 18.00%
the time between customer visits to the bank from midday to 1pm is evenly distributed over the period from 0 to 120 seconds. what is the standard deviation of the timeout?
Using the uniform distribution, the standard deviation of the timeout is of 34.64 seconds.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The standard deviation is:
\(S = \sqrt{\frac{(b - a)^2}{12}}\).
For this problem, the bounds are:
a = 0, b = 120.
Hence the standard deviation is found as follows:
\(S = \sqrt{\frac{(120 - 0)^2}{12}} = 34.64\).
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Express (In 35+ln(1/7))/ In 25 in terms of In 5 and In 7
Properties of the logarithm: for any base of logarithm,
log(a*b) = log(a) + log(b)
If we replace b with 1/b, or b^-1, we have
log(a/b) = log(a) + log(1/b) = log(a) - log(b)
since
log(1/b) = log(b^-1) = - log(b)
using the power property of logarithms,
log(b^n) = n log(b)
Now,
ln35 = ln(5*7) = ln5 + ln7
ln(1/7) = - ln7
ln25 = ln(5^2) = 2 ln5
Putting everything together, we have
(ln35 + ln(1/7))/ln25 = (ln5 + ln7 - ln7)/(2 ln5) = ln5/(2 ln5) = 1/2
2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer: 53.5 seconds
Step-by-step explanation:
in which number is the value of 5 ten times the value of the 5 in 10.059
Answer:
it must be 0.5
Step-by-step explanation:
0.05 x 10 = 0.5
I want brainliest!!!
Answer:
12.57
Step-by-step explanation:
The 5 in the number 10.059 is placed at the hundredth place. i.e. the value of 5 in 10.059 is 0.05. Now, ten times the value of 5 = 10 × 0.05 = 0.5. Let us take 12.57. We see that 5 is placed at the tenths place and has value 10 times the value of 5 in 10.059. Hence, the number comes out to be 12.57.
Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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Nemo can make a monthly payment of $565 for a car. If the annual interest rate he
qualifies for is 9% for 4 years, what price could he afford for the car?
Answer:$ 24,679.20 or 514.15 a month
Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20
what is two significant digit for 59.3506494?
Answer:
59
Step-by-step explanation:
Round 59.3506494 to the first 2 sig figs which is 59 since the number next to the decimal isnt over or 5, so it stays as 59 instead of 60.
Susie has read 52 pages of an 80- page book. What is the percentage of the pages that susie has not read?
Answer:
35%
Step-by-step explanation:
52/80=0.65
0.65x100=65
65% is the percent that she has read.
100%-65%= 35%
She has not read 35% of the pages.
Answer:
She hasn't read 35% of the book
Step-by-step explanation:
1st way: Since 80 pages represent 100%
52 pages represent 100 * 52 / 80 = 65% pages read
100 - 65 = 35 pages page not read.
2nd way: 80 - 52 = 28 pages not read
28 pages represent 100 * 28 / 80 = 35% pages not read
The change machine will change whatever dollars you put into quarters. The only catch is that if you want you use the change machine, it will cost 50 cents. How many quarters will you get back if you put $1, $2,$10, $66?
Answer:
$1 = 2 quarters
$2 = 6 quarters
$10 = 47 quarters
$66 = 262 quarters
Step-by-step explanation:
$1: First you subtract 50 cents, then there are only 50 cents remaining which is 2 quarters.
$2: First you subtract 50 cents then there are only 150 cents remaining
which is 6 quarters.
$10: First you subtract 50 cents then there are only 950 cents remaining which is 47 quarters.
$66: First you subtract 50 cents then there are only $65.50 remaining which means that there are 262 quarters.