Answer:
1. -13 degrees
2. $12
3. 6 yards
4. 15 points
Step-by-step explanation:
1. -5 - 8 = -13
2. $100 - $88 = $12
3. 13 - 7 = 6
4. 10 x 2 = 20 - 5 = 15
Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?
3,100= 1,900 +84x
right since 84 months in 7 years
so 14.3% right?
An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: A. y = 4x B. x=2y C. y = x D. ax = 2y
The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).
To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.
The derivative of
y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).
At the origin, x = 0, so the slope of the tangent at the origin is
y' = (1/2)cos(0) = 1.
Therefore, the equation for the tangent to the graph of
y = arcsin(x/2) at the origin is y = x, which has a slope of 1.
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1. Find the GCF for 14ab- 42a
Answer:
14(ab- 3a)
Step-by-step explanation:
14 times ab is 14ab and 14 times 3a is 42a
Simplify the expression
Answer:
A. \( {x}^{3} - x - \frac{6}{2x + 3}\)
Step-by-step explanation:
\( \frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}\)
What is the image of the point (6,-9) after a dilation with k = 3
Answer:
Step-by-step explanation:
A beehive contains 5 gallons of honey. A beekeeper removes 4 gallons, 1 pint, and 2 ounces. How much honey remains in the beehive?
Answer: 3 quarts and 14 ounces
Step-by-step explanation:
1 gallon = 4 quarts = 128 ounces,
1 quart = 2 pints,
1 pint = 16 ounces.
Therefore:
5 gallons - ( 4 gallons 1 pint 2 ounces ) =
= 5 * 128 - ( 4 * 128 + 1 * 16 + 2 ) = 640 ounces - 530 ounces = 110 ounces
110 ounces = 3 * 32 + 14
the power to which a number or expression is raised
The power to which a number or expression is raised is called the exponent.
1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.
2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.
3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.
4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:
- Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.
- Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).
- Zero exponent: Always equals 1. For example, \(2^0\) = 1.
- Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.
5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).
Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.
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y² + 7y-8
Please answer this and show work
The factorization of y²+7y-8 is (y+8)(y-1).
y²+7y-8
=y²+8y-y-8
=y(y+8)-1.(y+8)
=(y+8)(y-1)
The factors are (y+8), (y-1).
The method we are following here is factorize by grouping.
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The correct question is-
Factor y²+7y-8.
pls help with number 3
Answer:
3<n+5
Step-by-step explanation:
...................
Answer:
n+5-3
Step-by-step explanation:
"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.
There are 18 black socks and 12 navy socks in your drawer. The room is dark and you can't turn on the light. What is the least number of socks that you have to take you of the drawer to be certain that you have a pair of the same color? The solution is a number.
9514 1404 393
Answer:
3
Step-by-step explanation:
The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.
You must take one more than the number of colors:
2 + 1 = 3
You must take 3 socks to be certain of a pair the same color.
Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?
Answer:
x=7
Explanation:
If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:
CM=MD
5x-12=2x+9
5x-2x=9+12
3x=21
x=21/3
x=7
The value of x is 7.
At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?
Answer:
No, you didn't
Step-by-step explanation:
20% of $1200 is:
0.2*$1200 = $240Since you saved $200 and its less than $240 you didn't reach your goal
Hi there!
No:
200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.
If it was 20% of 1200, it would then be 240 since 240·5=1200...
What this means:
No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.
whats the slope 50 points dead a-s-s
Answer:
Slope is -3
Step-by-step explanation:
mrk me brainliest plz
does anybody know how to get the 3rd mark ?
Answer:
Long sides are 1.4 and short sides are 0.7
Step-by-step explanation:
the procedure for revising probabilities based upon additional information is referred to as
The procedure for revising probabilities based on additional information is referred to as Bayesian updating
The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.
In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.
Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.
The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.
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The standard error of the mean for a sample of 100 is 30. In order to cut the standard error of the mean to 15, we would a) increase the sample size to 200. b) increase the sample size to 400. c) decrease the sample size to 50. d) decrease the sample to 25.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
The given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.
The formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,
So we proceed by increasing the sample size by a factor of 4.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
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Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.
Answer:
-9Step-by-step explanation:
Given the following angles;
m ∠ GHI = 173°
m ∠ GHQ = 29 + x
m ∠ QHI = x + 162
The following expression is true for the three angles;
m ∠ GHI = m ∠ GHQ+ m ∠ QHI
substitute the given values into the formula and calculate x
173 = 29+x+x+162
173 = 29+162+2x
173 = 191+2x
2x = 173 - 191
2x = -18
x = -18/2
x = -9
Hence the value of x is -9
Answer:
its b i took the test
Step-by-step explanation:
A product is currently made in a process-focused shop, where fixed costs are $9000 per year and variable cost is $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacture. The new process would have fixed costs of $90,000, and variable costs of $5. What is the crossover point for these processes?
Every year, 1800 units crossover point. The process focus is less expensive for volumes over 1800.
What is the crossover point?When all tax credits have been used up by a limited partnership and the limited partners are left with a tax burden, that moment is known as the crossover point.
When both projects have positive values, the crossover point is formed by the intersection of two IRR curves.
The weighted average cost of capital, also known as the crossover rate, is the rate of return at which the net present values (NPV) of two projects are equal.
The rate of return at which the net present value profiles of two projects cross each other is what this term denotes.
So, annual crossover sales are 1800 units.
Process emphasis is less expensive and less important for volumes under 1800 units; repeated manufacturing concentration is less expensive and less important for volumes exceeding 1800 units.
Fixed cost ÷ variable cost
$90000÷50 =$1800
$9,000÷5=$1800
Therefore, every year, 1800 units cross over. The process focus is less expensive for volumes over 1800.
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Correct question:
A product is currently made in a process-focused shop, where fixed costs are $9,000 per year and variable costs are $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacturing. The new process would have fixed costs of $90,000, and variable costs of $5. The cross over is at 1800 units annually. for volumes over 1800, the process focus is cheaper.
Prove each of the following identities.
(e) (2 - sec^2 x)/(sec^2 x + 2tan x) = (cos x - sin x)/(cos x + sin x)
(f) cot^2 x - cot^2 y = (cos^2 x - cos^2 y)/(sin^2 x * sin^2 y)
The given trigonometry proof is given below
(a)\(\frac{1}{1+\sin (\theta)}+\frac{1}{1-\sin (\theta)}=2 \sec ^2(\theta)\)
Manipulating left side
\($$\begin{aligned}&\frac{1}{1+\sin (\theta)}+\frac{1}{1-\sin (\theta)} \\&\text { Simplify } \frac{1}{1+\sin (\theta)}+\frac{1}{1-\sin (\theta)}: \frac{2}{(\sin (\theta)+1)(-\sin (\theta)+1)} \\&=\frac{2}{(1+\sin (\theta))(1-\sin (\theta))}\end{aligned}$$\)
Rewrite using trig identities
\(=\frac{2}{\cos ^2(\theta)}\)
Use the basic trigonometric identity: \(\frac{1}{\cos (x)}=\sec (x)\)
\($$=2 \sec ^2(\theta)$$\)
(b)\(\frac{\cos (x)}{1+\sin (x)}=\sec (x)-\tan (x)\)
Manipulating right side
\($$\sec (x)-\tan (x)$$\)
Express with sin, cos
\(=\frac{1-\sin (x)}{\cos (x)}\)
Rewrite using trig identities
\(=\frac{\cos (x)}{1+\sin (x)}\)
(c)Manipulating right side\($\tan (x)-\cot (x)$\)
Express with sin, \($\cos$\)
\($$\begin{aligned}&=\frac{-\cos ^2(x)+\sin ^2(x)}{\cos (x) \sin (x)} \\&\sin ^2(x)=1-\cos ^2(x) \\&=\frac{1-\cos ^2(x)-\cos ^2(x)}{\cos (x) \sin (x)} \\&=\frac{1-2 \cos ^2(x)}{\sin (x) \cos (x)}\end{aligned}$$\)
(d) \(\frac{\sin (x)}{1-\cot (x)}+\frac{\cos (x)}{1-\tan (x)}=\sin (x)+\cos (x)\)
Manipulating left side
\(\frac{\sin (x)}{1-\cot (x)}+\frac{\cos (x)}{1-\tan (x)}\)
Express with sin, cos
\(=\cos (x)+\sin (x)\)
(e)Manipulating left side
\(\frac{2-\sec ^2(x)}{\sec ^2(x)+2 \tan (x)}\)
Express with sin, cos
\(=\frac{-1+2 \cos ^2(x)}{1+2 \cos (x) \sin (x)}$$\)
Rewrite using trig identities
\(=\frac{\cos (x)-\sin (x)}{\cos (x)+\sin (x)}$$\)
(f)Manipulating left side \($\cot ^2(x)-\cot ^2(y)$\)
Express with sin, cos
\(=\frac{\cos ^2(x) \sin ^2(y)-\cos ^2(y) \sin ^2(x)}{\sin ^2(x) \sin ^2(y)}$$\)
Rewrite using trig identities
\(=\frac{\cos ^2(x)-\cos ^2(y)}{\sin ^2(x) \sin ^2(y)}$$\)
Trigonometry is the field of mathematics that deals with certain angles' functions and how to use such functions in computations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
The area of mathematics known as trigonometry examines the link between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are employed to analyze this connection.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
Complete the table of inputs and outputs for the given function.
g(x) = -4x - 1
To complete the table of inputs and outputs for the function g(x) = -4x - 1:
x | g(x)
-------------------
-3 | 11
-2/3 | 1/3
0 | -1
1/2 | -3
2 | -9
Circle F is congruent to circle j, and < EFD ≈
Answer:
80°
Step-by-step explanation:
Which rule best red the following patterns 8,4,10,6,12,8,14
The rule with describes the expression 8,4,10,6,12,8,14 is the alternating numbers gets increased by 2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be represented as A
Now , the expression A is
A = 8,4,10,6,12,8,14
Taking out the alternate numbers from the expression A , we get
A₁ = 8 , 10 , 12 , 14
So ,the values of A₁ increases by 2
And ,Taking out the alternate numbers from the expression A , we get
A₂ = 4 , 6 , 8 , 10
So , the values of A₂ also increases by 2
Hence , the alternating numbers in the expression increases by 2
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1.Consider a 64-bit architecture machine where physical memory is 128GB a.If we would like to run processes as big as 256GB how many bits would be required for the logical address? 38 2 9& 25661 b.If we are using pages of size 4KB, how many bits are needed for displacement into a page? 12 bits 4KB= c.If a single level page table is used, what is the maximum number of entries in this table? 38 26 entries d.What is the size of this single level page table in terms of 4KB pages? 2o Pages e. If a two-level page-table is used and the outer page table is an 4KB page,how many entries does it contain, maximally? f. How many bits of the logical address are used to specify an index into the inner page (page of page table)?
a). 2^38 bytes of memory
b). 12 bits
c). The maximum number of entries in the single-level page table would be 2^38.
d). The size would be 2^38 * 4KB, which equals 2^20 pages.
e). The maximum number of entries it can have depends on the remaining bits of the logical address.
f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.
a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.
b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.
c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.
d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.
e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.
f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.
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Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20 days?
Add the difference in the days to the number of yards.
Subtract the difference in the days from the number of yards.
Find the number of yards per day by division, and then multiply that quotient by the number of days.
Find the number of yards per day by division, and then divide that quotient by the number of days.
Answer:
the number of yards per day is 4
Step-by-step explanation:
because if you divide 6 with 18 you get 4 so theirs your answer
Answer:
C
Step-by-step explanation:
C
the comparison of two quantities with different units is called a
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.
If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.
Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.
If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.
Therefore,
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
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I need help with this. It's due tommorow
The total amount of cheese used in all the recipes is 29 3/4 cups.
Given is line plot we need to find the amount of cheese used in all the recipe,
so, 3 1/2 cups are used for one time, 3 3/4 used for 6 times and 4 cups are used for 1.
So,
3 1/4 + 3 3/4 × 6 + 4
= 13/4 + 15/4 × 6 + 4
= (13 + 90 + 16) / 4
= 119 / 4
= 29 3/4
Hence, the total amount of cheese used in all the recipes is 29 3/4 cups.
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Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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In triangle JKL, KL ≈ JK and angle K = 91°. Find angle J.
Applying the definition of an isosceles triangle and the triangle sum theorem, the measure of angle J is calculated as: 44.5°.
What is an Isosceles Triangle?An isosceles triangle is a geometric shape with three sides, where two of the sides are of equal length, and the angles opposite those sides are also equal.
The triangle shown in the image is an isosceles triangle because two of its sides are congruent, i.e. KL = JK, therefore:
Measure of angle K = (180 - 91) / 2
Measure of angle K = 44.5°
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A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
a) The total cost to produce 300 CD's is; $2550
b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n
How to find the total cost of production?We are given that;
Cost of recording an album = $1000
Cost to edit the album = $450
Cost for album art work = $350
Cost of each manufactured CD = $2.50
a) The fixed costs (no matter how many CDs are recorded) is;
Fixed costs = $1000 + $450 + $350 = $1800
The variable costs (depends on the number of CDs recorded) for 300 CD's is;
300 CDs * $2.50 = $750
Thus;
Total cost for 300 CD's = 1800 + 750 = $2550
b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;
C(n) = 1800 + 2.5n
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Complete question is;
A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
(a) How much will it cost to make 300 CDs?
(b) What is the total cost C(n) in dollars of making n CDs?
which of the following is √17 to the nearest tenth
Answer:
4.1
Step-by-step explanation:
I used a calculator I hope this helps
Answer:
4.12310562…
Step-by-step explanation:
There is no further options in your question.