Answer:
60 degrees
Step-by-step explanation:
PLEASE HELP
True or false
False
Step-by-step explanation:
Answer:
true.
Step-by-step explanation:
\(b^t=\frac{n}{a}; \ = > \ t=log_b\frac{n}{a}; \ = > \ t=\frac{log\frac{n}{a}}{logb}.\)
Simplify the expression and eliminate any negative exponent(s). Assume that x and y denote positive numbers. (x-9/5 / y3/5)(x-6/y-3)1/5 Simplify the expression and express the answer using rational exponents. Assume that u and v denote positive numbers.
The simplified expression is v2/15 / u1/5
To simplify the expression and eliminate any negative exponent(s), we need to use the rules of exponents. The rules of exponents state that when we multiply two expressions with the same base, we add the exponents. When we divide two expressions with the same base, we subtract the exponents. And when we raise an expression with an exponent to another exponent, we multiply the exponents.
Using these rules, we can simplify the expression:
(x-9/5 / y3/5)(x-6 / y-3)1/5
= (x-9/5 + -6 / y3/5 + -3)1/5
= (x-39/5 / y-12/5)1/5
= x-39/5 * 1/5 / y-12/5 * 1/5
= x-39/25 / y-12/25
To eliminate the negative exponents, we can use the rule that x-a = 1/xa:
= 1/x39/25 / 1/y12/25
= y12/25 / x39/25
So the simplified expression is y12/25 / x39/25.
Similarly, we can simplify the second expression:
(u1/2 / v-1/3)-2/5
= u1/2 * -2/5 / v-1/3 * -2/5
= u-1/5 / v2/15
= 1/u1/5 / v2/15
= v2/15 / u1/5
So the simplified expression is v2/15 / u1/5.
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The quadratic expression x^2+7x+N can be factored as (x+g)(x+h)(x+g), where N, g, and h are integers.
Prod wrote that N can be equal to -18.
Eleanor wrote that N can be equal to 13.
Assuming Pod wrote that N could be equal to -18, Pod is correct.
What are Quadratic Equations?
A quadratic equation is an equation with a variable to the second power as its highest power term.
The Standard Form of a Quadratic Equation:
ax² + bx + c = 0
where:
x represents an unknown (variable)a, b, and c represent known numbers, where a ≠ 0x² + 7x - 18 = (x + 9)(x - 2) . . . . . g = 9, h = -2
There are no integer factors of 13 that add to give 7. 13 is prime, so the sum of its integer factors is 1+13 = 14.
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Eight times the difference of a number and 4
Answer:
8(n-4) click brainliest and thanks please
-9h - 15 = 93 Need help. Not that good at solving two step equations. Algebra's tricky. Please solve.
Answer:
h=12
Step-by-step explanation:
first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12
Find equation of this line, plz help thanks !
Answer:
y = -2x + 1
Step-by-step explanation:
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
PLSS HELP
GIVING 36 POINTS
Answer:
a
Step-by-step explanation:
the data is represented in the dot plot
Answer:
answer is 77.67
Step-by-step explanation:
explain by the x axis is 68 to y axis is 84 so the median is 77.67
2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^2at
Hint: Turn tan(x) = e^at and e^y = 1 + e^2at into expressions suited to your calculation.
I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives
sec²(x) dx/dt = a exp(at)
Recall that
sec²(x) = 1 + tan²(x)
Then we have
(1 + tan²(x)) dx/dt = a exp(at)
(1 + exp(2at)) dx/dt = a exp(at)
dx/dt = a exp(at) / (1 + exp(2at))
If exp(y) = 1 + exp(2at), then differentiating with respect to t yields
exp(y) dy/dt = 2a exp(2at)
(1 + exp(2at)) dy/dt = 2a exp(2at)
dy/dt = 2a exp(2at) / (1 + exp(2at))
By the chain rule,
dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)
Then the first derivative is
dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))
dy/dx = (2a exp(2at)) / (a exp(at))
dy/dx = 2 exp(at)
Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write
dy/dx = f(t)
By the chain rule, the derivative is
d²y/dx² = df/dx
d²y/dx² = df/dt • dt/dx
d²y/dx² = (df/dt) / (dx/dt)
d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))
d²y/dx² = 2 (1 + exp(2at))
am I correct? Somone please help
Answer:
≠Step-by-step explanation:
7/5 = 1.4
15/10 = 1.5
so 7/5 is not equal to 15/10
the good answer is ≠what is the coefficient of xy2
Answer:
1 is the coefficient.
There is no number Infront of variable.Hence if there is no number thrlere is 1. xysquare 1 is the coefficient,X and y are base and square is Exponent.
PLEASE HELP QUICK
Examine the diagram.
15 cm circle
Which is the circumference of the circle? (Use : = 3.14)
A 4.71 cm
B. 18. 14 cm
C 23.55 cm
D. 47.1 cm
E 176,625 cm
Answer:
To get the diameter we need to invert the equation: Cπ=D. If we put in all the numbers now we get that: 153,14=4,777070...
Step-by-step explanation:
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1
Answer:
-6
Step-by-step explanation:
6x + y = -1
y = -6x-1
slope which is m is -6
if a=7 and b =2 what is 2ab
Answer: 28
Step-by-step explanation:
If \(a = 7\) and \(b = 2\), then \(2ab\) can be worked out as follows:
\(\Large 2ab = 2 \times a \times b\)
Substituting the values of \(a\) and \(b\), we get:
\(2 \times 7 \times 2 = 28\)
Therefore, \(2ab\) is equal to 28 when \(a = 7\) and \(b = 2\).
________________________________________________________
The answer is:
28Work/explanation:
To evaluate the expression \(\sf{2ab}\), I begin by plugging in 7 for a and 2 for b:
\(\large\pmb{2(7)(2)}\)
Simplify by multiplying.
\(\large\pmb{2*14}\)
\(\large\pmb{28}\)
Therefore, the answer is 28.PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
1. Brandon has $12. He will
eam $8 for every
hour he works. He would
like to have $52 at
the end of the day. Let h
represent the
number of hours
Brandon works.
Equation:
Solve it to find how many
hours he needs. Solve the problem, and also write the equation
Answer:
h=5
Step-by-step explanation:
h/8+12=52
12 dollars is what he originally starts with so it would be added with h.
Now, subtract 12 dollars from the 52 he wnats to end the day with.
52-12=40
Now take 40 and divide it 8
h=40/8
h=5
Hope that helps :)
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the mean? Select all that apply.
A) 18, 56, 58, 61, 52
B) 25, 27, 31, 33, 95
C) 38, 37, 33, 41, 36
D) 65, 68, 71, 73, 12
E) 49, 44, 42, 48, 50
The mean should be calculated for data sets A, B, C, and D.
What is the mean?It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.
When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.
The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.
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In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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A textbook store sold a combined total of 445 math and sociology textbooks in a week the number of math textbooks sold was 75 more than the number of sociology textbook sold how many textbooks of each type were sold
In respοnse tο the stated questiοn, we can state that Hence, 185 equatiοn textbοοks fοr sοciοlοgy and 185 + 75 = 260 fοr math were sοld.
What is equatiοn?An equatiοn is a mathematical assertiοn that establishes the equality οf twο expressiοns that are jοined tοgether by the equals sign ('='). Fοr example, 2x – 5 = 13.
2x-5 and 13 are examples οf expressiοns. The letter '=' cοnnects the twο expressiοns. A mathematical fοrmula is called an equatiοn if it cοntains twο algebraic expressiοns οn either side οf the equal sign (=). It shοws hοw the right and left fοrmulas are equivalent tο οne anοther. Any fοrmula will result in L.H.S. = R.H.S. (left side = right side).
Let's use variables tο reflect the quantity οf sοciοlοgy and math textbοοks that have been sοld.
Let x represent hοw many sοciοlοgy textbοοks were sοld.
Then, x + 75 math textbοοks wοuld have been sοld.
Since we are aware that 445 textbοοks were sοld in tοtal, we can cοnstruct the fοllοwing equatiοn:
x + (x + 75) = 445
Simplifying and finding x's value:
2x + 75 = 445
\(2x = 370 \sx = 185\)
Hence, 185 textbooks for sociοlogy and 185 + 75 = 260 for math were sold.
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The finishing times for a race happen to be normally distributed with a mean of 10.2 seconds and a standard deviation of 1.4 seconds. Find the cut off score for the top 10%. Interpret this result.
Using the normal distribution, it is found that the cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 10.2 seconds, hence \(\mu = 10.2\)Standard deviation of 1.4 seconds, hence \(\sigma = 1.4\).The lower the times, the faster the runners are, hence, the cut off score for the top 10% is the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.28 = \frac{X - 10.2}{1.4}\)
\(X - 10.2 = -1.28(1.4)\)
\(X = 8.4\)
The cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.
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which of these is a factor in this expression?
The factor in the expression is (y³ + 5)
The expression is given as 7z⁴ - 5 + 10 (y³ + 5)
The terms of the expressions are:
7z⁴ , -5 and 10 (y³ + 5)
The factors are
7 and z⁴
10 and (y³ + 5)
Hence, the factor in the expression is (y³ + 5)
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whats 8.75 divided by 0.7
Answer:
12.5
Step-by-step explanation:
8.75/0.7
swing decimal of 0.7 to get 7
swing decimal of 8.75 to get 87.5
(this is the same as multiplying by 10/10)
87.5/7
Divide 8/7 to get 1 remainder 1
Divide 17 by 7 to get 2 remainder 3
Divide 35 by 7 to get 5
The decimal moves up.
Put the whole numbers together to get 12.5
(Use this to help with Long-Division)
The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
A carpenter attaches a brace to a rectangular picture frame. If the dimensions of the picture frame are 30 inches by 40 inches, what is the length of the
brace?
The brace measures 50 inches in length.
What is Pythagoras's Theorem?The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side opposite the right angle, equals the sum of the squares on the legs of the triangle, a2 + b2 = c2.
The other two sides of the picture frame are its length and width. We thus have:
Length of the hypotenuse (brace)² = Length² of the picture frame + Width² of the picture frame
Let's enter the picture frame's specified dimensions:
Length of the brace² = 30² + 40²
Length of the brace² = 900 + 1600
Length of the brace² = 2500
Taking the square root of both sides, we get:
Length of the brace = √(2500)
Length of the brace = 50
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Need answer ASAP
You buy a TV for $256 and a DVD player for $46. If the sales tax rate is 6.5% how much is the sales tax on this purchase to the nearest penny?
Answer:
$19.63 would be the sales tax on this
please answer will give brainly
Answer:
Step-by-step explanation:
The volume of a cube is given by the formula :
a³ (where a is the side length )
So now we have to cube these lengths :
Part A :
(3x²y)³ =
(3x²y)(3x²y)(3x²y) =
(9x^4y²)(3x²y) =
27x^6y³ (This is now fully simplified so our final answer for a)
Part B:
(5y²)³ =
(5y²)(5y²)(5y²) =
(25y^4)(5y²) =
125y^6 (This is now fully simplified so our final answer for b)
Hope this helped and have a good day
what is 12+12 and give good reson why
Answer:
24
Step-by-step explanation:
you have 12 of something and Are adding 12 to it.
I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
A single die is rolled. Find the odds in favor of rolling a number greater than 2.
The odds in favor of rolling a number greater than 2 are
(Simplify your answers.)
Answer:
2/3
Step-by-step explanation:
1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.
Answer:
There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.
Step-by-step explanation: