Answer: D
Step-by-step explanation:
Two hundred two =202
The thousands place is the third place=.002
Answer:
D
Step-by-step explanation:
Marietta was given a raise of $0.50 per hour, which gave her a new wage of $18.75 per
hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise.
Complete the explanation to show that your answer is reasonable.
The equation is
= 18.75.
Marietta's hourly wage before the raise was $
Marietta received a raise that was less than $1.00 per hour, so her new hourly wage should
be less than $ (select) + $1 = $19.25. Her new hourly wage of $18.75 is less than $19.25,
so the answer is reasonable.
Answer:
11.50
Step-by-step explanation:
The new wage is equal to the old wage plus her raise, so:
x + 0.75 = 12.25
or
x= 12.25-0.75
Meaning x is her original wage, being $11.50
(This is my first answer so let me know if I did anything wrong)
4. Brian is buying some tickets for his family
to go to a concert. The normal ticket
price for one person is £120. There are
discounts for booking early.
Adult tickets have 30% off the normal
price.
A child's ticket has 60% off the normal
price.
Brian buys two adult tickets
and three child's tickets with
the discount.
Work out how much he pays.
Answer:
312
Step-by-step explanation:
120x0.4=48
48x3=144
120x0.7=84
84x2=168
168+144=312
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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All the data collected in a particular study are referred to as the? inference. variable. data set. population.
Inference is referred to as all the data collected in a particular study.
What is inference?Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.
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I need help on this question.
What is m
Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40
Answer:
b
Step-by-step explanation:
the answer when not rounded is 43.
NEED TO FINISH THIS 100 POINT ANSWER QUESTION BELOW!!!!!!
Answer:
AStep-by-step explanation:
finding Y
y = 5x + 14
y = 5(4) +14
y = 20 + 14
y = 34
Finding X
y = 5x + 14
29 = 5x + 14
29 - 14 = 5x
15 = 5x
5x = 15
x = \(\frac{15}{5}\)
x = 3
Fatma has $182,000.00 that she will use for her monthly expenses of $1,350.00. What rate of return does her account need to earn in order to stretch this money out for 17 years? She will make the first withdrawal on September 8,2022.
Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.
To determine the required rate of return for Fatma's account, we can use the future value formula:
FV = PV * (1 + r)^n
Where:
FV = Future value (amount needed for 17 years of expenses)
PV = Present value (initial amount Fatma has)
r = Rate of return
n = Number of compounding periods (monthly withdrawals over 17 years)
Given:
PV = $182,000.00
Monthly expenses = $1,350.00
Number of years = 17
Number of compounding periods = 17 years * 12 months = 204 months
We can rearrange the formula to solve for the required rate of return (r):
r = (FV / PV)^(1/n) - 1
Substituting the given values:
FV = $1,350.00 * 204 = $275,400.00
r = ($275,400.00 / $182,000.00)^(1/204) - 1
Calculating this expression:
r ≈ 0.002957 (approximately 0.2957%)
Therefore, Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.
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Write the mixed numbers as fractions.
-1\1/2
Answer:
3/2
Step-by-step explanation:
1 1/2= 1 x 2 + 1
= 3/2
Which statement is true regarding the graphed functions?
I need help and can’t find the answers anywhere
Answer:
f(0)=g(0)
Step-by-step explanation:
The problem is asking for where the output (y value) of one function, f(x), matches the output of another function, g(x), otherwise called an intersection. You can see that the two lines intersect at 0 on the x axis in the graph, therefore f(0)=g(0) meaning the outputs of f(x) are the same as g(x) at x value 0.
I need help with number 2 and can you please do it the same way as the paper so I can understand it better.
ANSWER:
The cosine and sine values are reversed.
\(4\cdot cis\mleft(\frac{\pi}{3}\mright)=2+2\sqrt[]{3i}\)STEP-BY-STEP EXPLANATION:
We can rewrite the function as follows:
\(a\cdot cis(\theta)=a\cdot\cos (\theta)+ai\cdot\sin \theta\)In this case, then it would be:
\(\begin{gathered} 4\cdot cis\mleft(\frac{\pi}{3}\mright)=4\cdot\cos \mleft(\frac{\pi}{3}\mright)+4i\cdot\sin \mleft(\frac{\pi}{3}\mright) \\ \cos \mleft(\frac{\pi}{3}\mright)=\frac{1}{2} \\ \sin \mleft(\frac{\pi}{3}\mright)=\frac{\sqrt[]{3}}{2} \\ \text{ replacing} \\ 4\cdot cis\mleft(\frac{\pi}{3}\mright)=4\cdot\frac{1}{2}+4i\cdot\frac{\sqrt[]{3}}{2} \\ 4\cdot cis\mleft(\frac{\pi}{3}\mright)=2+2\sqrt[]{3i} \end{gathered}\)What it means is that the error was that it was wrong when calculating the cosine and the sine, it has the values inverted
A number consists of two digits whose sum is 9. If 9 is added to the number its digits are inter changed. Find the number.
Solution:
Let the two digits of a number be X and Y
Let the digit at 10's place = X
Let the digit at 1's place = Y
The two digit number = 10X+Y
Given that
The sum of the digits = 9
⇛ X+Y = 9
⇛X = 9-Y →→→→eqn(i)
If 9 is added to the number the digits interchanged
⇛10X+Y +9 = 10Y+X
⇛10X+Y+9-10Y-X = 0
⇛9X-9Y +9 = 0
⇛9(X-Y+1) = 0
⇛X-Y+1 = 0
⇛9-Y-Y+1 = 0
⇛10-2Y = 0
⇛2Y = 10
⇛Y = 10/2
⇛Y = 5
Now
X = 9-5 = 4
Therefore the number = 45 Ans.
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Answer:
see that attachment
I hope it's help you
You know the slope and one point on a line that is not the y‑intercept. Why might you write the equation in point-slope form instead of slope-intercept form?
Answer:
I think either way is correct.
For a point (a, b), and slope m:
point-slope form: y - b = m(x - a)
slope-intercept form: b = ma + c, where c is the y-intercept.
A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
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(b) Given the matrix D = k 0 0 3 k² k³ 0 kª k³ kº k k k 0 0 0 k¹⁰ Find all possible value(s) of k if det(D) = 1024."
To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.
Given matrix D:
D = | k 0 0 |
| 3 k² k³ |
| 0 kª k³ kº |
| k k k |
| 0 0 0 |
| k¹⁰ |
The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
- 0(det | 3 k² k³ |
| 0 kª k³ |
| k k k |)
+ 0(det | 3 k² k³ |
| k k k |
| k k k |)
Simplifying further, we have:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
Now, we can calculate the determinant of the 3x3 submatrix:
det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |
This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:
det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº
Now, we can set det(D) equal to 1024 and solve for k:
k⁴+kº = 1024
Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.
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A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: \(5 - 12i\) and \(-9 + 7i\)
Step-by-step explanation:
Given
Roots: \(5 + 12i\) and \(-9 -7i\)
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
\(a + \sqrt b\)
The conjugate of \(a + \sqrt b\) is: \(a - \sqrt b\).
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of \(5 + 12i\) is \(5 - 12i\) and the conjugate of \(-9 -7i\) is \(-9 + 7i\)
Hence, the additional roots are: \(5 - 12i\) and \(-9 + 7i\)
Which expression is equivalent to the one below
Answer:
C.
Step-by-step explanation:
5 divided by 2 is the same as 5 times 1/2
\(\frac{5}{1} * \frac{1}{2} =\frac{5}{2} =5/2\)
10000000000000023486851765498487984 + 189454+818945184654988484
For the following exercises, sketch the curves below by eliminating the parameter t. Give the orientation of the curve. x = cos(t), y = sin(t), (0, 2π]
The exercise requires sketching curve defined by the parametric equation x = cos(t) and y = sin(t) values of t ranging from 0 to 2π.
The parametric equations x = cos(t) and y = sin(t) represent a circle of radius 1 centered at the origin. To eliminate the parameter t and obtain the Cartesian equation, we can use the trigonometric identity cos^2(t) + sin^2(t) = 1. Squaring both equations and adding them together, we get x^2 + y^2 = 1, which is the equation of a circle with radius 1. This implies that the curve traced by the parametric equations is a circle of radius 1.
For the given range of t from 0 to 2π, the curve starts at the point (1, 0) on the right side of the circle and moves counterclockwise along the circle until it reaches the starting point again. The orientation of the curve is counterclockwise due to the positive increment of t.
Thus, the sketch of the curve is a circle centered at the origin with a radius of 1, and it starts and ends at the point (1, 0) moving counterclockwise.
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As a last step before Mario hits send on a company press release, what should he to ensure it is accurate?produce an outline to organize the content in the documentdouble-check all spellings and numbers in the documentevaluate the logic and persuasiveness of the documentchange the font that is used in the document
Mario should proofread the press release to catch any typos or errors, ensure all numbers and spellings are correct, and make sure the content is logical and persuasive.
Mario should begin by producing an outline to organize the content of the document and make sure it follows a logical flow. He should then double-check all spellings and numbers in the document to ensure accuracy. He should then evaluate the logic and persuasiveness of the document to make sure it conveys the information effectively. Lastly, he should change the font that is used in the document to make it more visually appealing. By following these steps, Mario can ensure that the press release is accurate and effective.
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I need help with these
Answer:
Step-by-step explanation:
You could factor the trinomial and solve it that way, but that is the long way. Just put a - 4 wherever you see an x.
x^2 + 3x + 2 =
(-4)^2 + 3(-4) + 2
16 - 12 + 2
6
The answer is 6.
solve for X
x=2
2+ X = _______
Answer:
2+2=4
Step-by-step explanation:
help plsssssssssssssssssssssssssssssssss again 3
Answer:
200 minutes
Step-by-step explanation:
In order to find the range, you have to subtract the greatest number to the lowest number. In this case, 400 is the smallest number, and 600 is the greatest number. 600-400 is 200 minutes.
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
Answer:
see below
Step-by-step explanation:
f(x) = x^2 – 2x – 3
To find the roots, set the equation equal to zero
0 = x^2 – 2x – 3
Factor, what two numbers multiply to -3 and add to -2
-3 * 1 = -3
-3 + 1 = -2
0 = (x-3)( x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Answer:
3
Step-by-step explanation:
cuz i said so lol
Boris filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
9.94, 1, 19.1
What is the total amount of gas Boris bought last week?
Answer:
30.04
Step-by-step explanation:
You could do this the simple way which is to first grab two numbers in any order and add them together, and after you do that you can add the result to the remaining number or numbers that remain. 9.94 plus 1 is 10.94, and 10.94 plus 19 is 29.94, lastly the .1 from the 19 which finally leads us to the answer of 30.04 gallons that Boris bought last week
If a mean weight of two groups of children were different with a p level of .03 is the difference statistically significant? What p level identifies statistical significance?
Yes, if the mean weight of two groups of children is different with a p-value of 0.03, the difference is statistically significant. Typically, a p-value of less than 0.05 is considered statistically significant, indicating that the observed difference is unlikely to be due to chance alone.
Yes, if the p level is .03, then the difference in mean weight between the two groups of children is statistically significant. The p level that identifies statistical significance is generally considered to be .05 or less, meaning that there is a 5% or less chance that the difference observed is due to random chance rather than a true difference between the two groups. Therefore, a p level of .03 is below the commonly accepted threshold for statistical significance and suggests that the difference in mean weight is not likely due to chance alone.
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The shortest side of a right triangle measures 5, and the longest side measures 13. Determine the measurement of the unknown side.
Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.
How can the measurement of the unknown side of a right triangle be determined?According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.
The hypotenuse is the longest side of a right triangle.
The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).
Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.
c² = √a²+b²
The perpendicular (shortest side) of a right triangle = 5
The hypotenuse (longest side) = 13
c² = √a²+b²
169 = √5²+b²
169 = √25 + b²
The base (unknown side):
b² = 169 - 25
b² = 144
The square root of √144 = 12
b = 12
Thus, the unknown side of the right triangle is the base, measuring 12 units.
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The length of the unknown side is 12 units, which is the base of the right triangle.
The right triangle's perpendicular (shortest side) = 5 units
The right triangle's hypotenuse (longest side) = 13 units
According to the Pythagorean Theorem,
H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.
As per the given question, here H = 13 and P = 5
Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,
(13)² = (5)²+ B²
169 = 25 + B²
B² = 169 - 25
B² = 144
B = √144
B = 12 units
Therefore, the length of the unknown side is 12 units,
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suppose f(x) = x find the graph of f(x)+3
Answer:
Translation up 3 units
Step-by-step explanation:
The equation f(x)=x goes through the origin.
f(x)+3 is exactly the same, except that it is translated up 3 units on the graph.
Which expressions represent the volume of the cube? Select all that apply.
A cube with side length 3-fourths foot.
3343ft3
(34)3ft3
2716ft3
2764ft3
916ft2
(34)2ft2
The volume of cube with side length 3/4 of a foot is (27/64) square feet which is the fourth option.
We know that the formula for the volume of a cube is given by:-
Volume of cube = (side)*(side)*(side) = \(side^3\)
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
We have,
side = (3/4) foot
Hence, we can write,
Volume of cube = (3/4)*(3/4)*(3/4) = (27/64) square feet.
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the length of a rectanglar photograph is 7 inches more than the width. if the are is 78 inches squared, what are the dimensions of the photograph
The dimensions of the photograph are found as 13 in and 6 in.
Explain the term rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides.Let length = x.
So, width = x - 7
Area = length x width
A = x (x -7)
and A = 78 inches squared.
Thus,
78 = x (x -7)
On solving.
x² - 7x - 78 = 0
Find the factors of the quadratic equation,
x² - 7x - 78 = 0
(x - 13)(x + 6) = 0
Thus,
x = 13 and x = -6 but (x > 0)
Thus, when x = 13 in,
Width = x + 7
Width = 13 - 7
Width = 6 in
Thus, the dimensions of the photograph are found as 13 in and 6 in.
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