Answers
Answer:
The measure of angle CDE is 37 degrees
Step-by-step explanation:
Related Questions
Let : = (a + ai)(b + b/3i) where a and b are positive real numbers. Without using a calculator, determine arg 2.
Answers
The answer is arg 2 = tan^-1(3/2) where : = (a + ai)(b + b/3i) where a and b are positive real numbers.
To determine arg 2, we need to first find the value of :.
Expanding the given expression, we get:
: = (a + ai)(b + b/3i)
: = ab + ab/3i^2 + abi + ab/3i
: = ab - ab/3 + abi + ab/3i
: = (2ab/3) + (ab)i
Now, we can find the modulus of : as:
|:| = sqrt((2ab/3)^2 + (ab)^2)
|:| = sqrt(4a^2b^2/9 + a^2b^2)
|:| = sqrt(13a^2b^2/9)
And, we can find the argument of : as:
arg(:) = tan^-1((ab)/(2ab/3))
arg(:) = tan^-1(3/2)
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which side is opposite the middle size angle give the letter name
Answers
Answer:
opposite of 55 degrees would be KL
opposite of 97 degrees would be ML
opposite of 28 degrees would be MK
Step-by-step explanation:
mark me brainliest if right!!!
Can someone pls help me ASAP I’ll give brainiest
Also show how u got the answer step by step pls
Answers
X+1=3
X=3-1
X=2
the factors. 2. Fill in the blanks with appropriate word(s) or numbers. a) 6x 10³ +3× 10 + 4 x 10-2is written in standard form as b) Four hundred seven and thirty-four thousandths in standard form is written as c) 86.00405 is written in words as d) (3x*y) written without negative exponents is e) 0.0675= % f) 44% is the same as the fraction in simplest form. g) When you multiply a natural number by a decimal, when do you get a result more than that number? h) 13.982 rounded to the nearest tenths is i) 4 tens minus 4 tenths = (write the answer in standard form)
Answers
Answer:
answer is a
Step-by-step explanation:
first solve
solve for gcf
flip
divide
then you add
and you get 0.928838
The table shows the monthly salaries for employees at a company.
a. Find the mean, median, and mode of the data.
The mean is $
. The median is $
. The mode is $
.
Question 2
b. Each employee receives a 5% raise. Find the mean, median, and mode of the data with the raise. How does this increase affect the mean, median, and mode of the data? Round to the nearest cent.
The mean is $
The median is $
The mode is $
The raise increases the mean, median, and mode by
%.
Question 3
c. Use the original monthly salaries to calculate the annual salaries. Find the mean, median, and mode of the annual salaries. How are these values related to the mean, median, and mode of the monthly salaries?
The mean is $
. The median is $
. The mode is $
.
These values are ____ times the mean median, and mode of the monthly salaries.
(Also please explain how you got the answers.)
Answers
Answer:
30
Step-by-step explanation:
30
The mean, median, and mode of the given monthly salary is 1794, 1790, and 1940, respectively.
What is the measure of central tendency?Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.
Mode: It is the most common value in a given data set.
Median: In an ordered data set, the median is the number in the middle.
Mean: It is the total number of values divided by the sum of all values.
For the given data, the mean, median and the mode of the data can be found as shown below,
Sum of the Observations
= 1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600
= 17940
Number of Observations = 10
The mean of the data is,
Mean = Sum of Observations / Number of Observations
= 17940 / 10
= 1794
The median of the data can be found by arranging the data in an order first. Therefore, the data can be arranged as,
1540160016601720176018201860194019402100The median of the data is,
Median = (Sum of the two mid values) / 2
= (1760 + 1820) / 2
= 1790
The mode of the data is 1940, since this is repeated twice.
b.
If the salary of each employee is increased by 5% that means that the value of each observation in the data will increase by 5%. Therefore, The raise increases the mean, median, and mode by 5% each.
c.
As it is now required to find the mean, median, and mode of the annual salary; there is a need to multiply the monthly salary of each employee by 12. Therefore, the value of each observation will be 12 times its original value. These values are 12 times the mean median, and mode of the monthly salaries.
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Find the number of edges on this solid.
Enter
Answers
An edge is formed when two faces come together. The number of edges in the given solid is 18.
What is an edge?An edge is formed when two faces come together. A cube, for example, has 12 edges, a cylinder has two, and a spherical has none.
The number of edges in the given solid is 18.
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A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
Answers
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Putting values in the equation
A = 1/2(7)(8 + 14)
= 1/2(7)(22)
= 1/2(154)
= 77 ft. sq
Option A is the correct answer
Azim wants to buy a tablet computer that is priced at $255 25. If the sales tax rate on the computer is 8%, how many dollars and cents will Azim spend on the sales tax only?
Answers
a technology company makes more than 5 printer every hour. Which graph represent the number of printers made in 4 hours?
Answers
Answer:
See the attached file
Step-by-step explanation:
Given data
Say numbers of printer made per hour = 5 printers
Hence in 1 hour, they will make 5 printers
in 4 hours they will make
=4*5
=20 printers
The graph of this situation when plotted will give a straight line graph
Kindly find attached a straight line graph for your reference
Convert the binary expansion 1100101 base 2 to expansions
1a)
base 4
1b)
base 10
please explain how you got your answer as well
Answers
The binary expansion 1100101 base 2 can be converted to base 4 and base 10. In base 4, the expansion is 313 and in base 10, it is 101.
To convert the binary expansion 1100101 base 2 to base 4, we group the binary digits into pairs from right to left. Starting from the rightmost pair, we convert each pair to its equivalent base 4 digit. In this case, the pairs are 01, 01, 10, and 11, which correspond to the base 4 digits 1, 1, 3, and 3, respectively. So the base 4 expansion is 313.
To convert the binary expansion 1100101 base 2 to base 10, we can use the positional value system. Each binary digit represents a power of 2. Starting from the rightmost digit, we assign powers of 2 to each digit in increasing order from right to left. In this case, the digits are 1, 0, 1, 0, 0, 1, and 1, which correspond to the powers of 2^6, 2^5, 2^4, 2^3, 2^2, 2^1, and 2^0, respectively. Evaluating these powers of 2, we get 64, 0, 16, 0, 0, 2, and 1. we obtain 64 + 0 + 16 + 0 + 0 + 2 + 1 = 101 in base 10.
Therefore, the binary expansion 1100101 base 2 is equivalent to 313 base 4 and 101 base 10.
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If a man invests $1000 in a savings account and another $1000 in a fixed deposit. If the savings account pays 4.5% interest per annum and the fixed deposit pays 6% interest per annum, find the total amount after 1 year of investment. Please I need a quick answer to this!
Answers
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Savings account:
PV= $1,000
n= 1
i= 0.045
Fixed Deposit:
PV= $1,000
n= 1
i= 0.06
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
Savings account:
FV= 1,000*1.045^1
FV= $1,045
Fixed deposit:
FV= 1,000*1.06^1
FV= $1,060
I need help math is so ACK anyone know the answer
Answers
Answer:
He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side
[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]
[tex] {x}^{2} = 64 + 225[/tex]
[tex] {x}^{2} = 289[/tex]
[tex]x = \sqrt{289} [/tex]
[tex]x = 17[/tex]
Complete the equation of the line through (-8,-2) and (-4,6)
Use exact numbers.
y=
Answers
Answer:
round 55666777 for 5th 50th is not a big game for a player who will give the 8th or 3rd season to 466
Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
O 6 cm
O 18 cm
O 24 cm
O 28 cm
Answers
18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
Third side < 8 + 15
Third side < 23
It means 3rd side must be less than 23
Case 2: Let 15 cm is the largest side.
15 < Third side + 8
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
What is the solution to this system
Answers
Answer:
(1, - 1)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (1, - 1)
Then (1, - 1 ) is the solution to the system.
Let f be a continuous function on R. Suppose f(x) > 0 for all
x and (f(x))2 = 2f for all x ≥ 0. Show that f(x) =
x for all x ≥ 0.
5. Let f be a continuous function on R. Suppose f(x) > 0 for all x and (f(x))2 = 2 5c" f for all x > 0. Show that f(x) = x for all x > 0. . -
Answers
Given that f is a continuous function on R, f(x) > 0 for all x, and [tex]f(x)^{2}[/tex] = 2f for all x ≥ 0, we need to show that f(x) = x for all x ≥ 0.
Let's assume that there exists a value a ≥ 0 for which f(a) ≠ a. Since f(x) is continuous, the Intermediate Value Theorem can be applied. Consider the function g(x) = f(x) - x. Since g(a) ≠ 0, either g(a) > 0 or g(a) < 0.
If g(a) > 0, it implies that f(a) - a > 0, which leads to f(a) > a. But this contradicts the given condition that f(x) > 0 for all x. Hence, g(a) cannot be greater than 0.
Similarly, if g(a) < 0, it implies that f(a) - a < 0, which leads to f(a) < a. Again, this contradicts the given condition that f(x) > 0 for all x. Therefore, g(a) cannot be less than 0.
Since g(a) cannot be greater than 0 or less than 0, the only possibility is that g(a) = 0, which implies f(a) = a. This holds true for all a ≥ 0. Hence, we can conclude that f(x) = x for all x ≥ 0.
Therefore, based on the given conditions, we have shown that f(x) = x for all x ≥ 0.
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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
Answers
The least common multiple of 3, 2, and 5 is 30
1/3 * 10/10 = 10/30
1/2 * 15/15 = 15/30
4/5 * 6/6 = 24/30
10/30 + 15/30 + 24/30 equals
49/30 tons or 1 and 19/30 tons
Answer:
1/30 ton of rock left
Step-by-step explanation:
1/3+ 1/2= 5/6
5/6 - 4/5= 1/30 ton of rock left at the construction site.
PLSS HELP MEE AND NO BOTS I WILL REPORT Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
(6,1)
Answers
The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
Answers
Answer:
B: 6.5 inches
Step-by-step explanation:
Given,
Area of the rectangle = 45.5 sq. inches
The Base of the rectangle = 7 inches
45.5 = l * 7
l = 45.5/7
l = 6.5 inches
Answer:
silly billy your a tree with branches and leaves hogwarts has an olw that deleivers letters
Step-by-step explanation:
Using Matlab, include the code, a brief discussion of the
code/logic, graphs and screenshots with results, and a brief
analysis/discussion of the results.
4. Repeat exercise 3 using the Secant method. Repeat iterations until the approximate error becomes less than 0.1%. (20%] a. Which method is better? Secant or False-position?
Answers
The correct answer is The logic behind the Secant method is to iteratively update two initial guesses, x0 and x1, based on the function evaluations at those points. The formula x2 = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0)) is used to update the guesses and obtain a new approximation, x2
Here's an example MATLAB code that implements the Secant method to find the root of a function:
% Function to find the root of
function y = myFunction(x)
[tex]y = x^3 - 5*x^2 + 6*x - 2;[/tex]
end
% Secant method
x0 = 0; % Initial guess x0
x1 = 1; % Initial guess x1
approx_error = 1; % Initial approximation error
while approx_error > 0.001 % Set the desired approximation error threshold
[tex]x2 = x1 - (myFunction(x1) * (x1 - x0)) / (myFunction(x1) - myFunction(x0));[/tex]
[tex]approx_error = abs((x2 - x1) / x2) * 100; % Calculate the approximation[/tex]error
x0 = x1;
x1 = x2;
The logic behind the Secant method is to iteratively update two initial guesses, x0 and x1, based on the function evaluations at those points. The formula x2 = x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0)) is used to update the guesses and obtain a new approximation, x2. The iteration continues until the approximation error, calculated as the absolute difference between x2 and x1 divided by x2, falls below the desired threshold (in this case, 0.001).
To compare the Secant method with the False-position method, you can apply both methods to the same function and compare their convergence and accuracy. You can also analyze the number of iterations required for each method to achieve a certain level of approximation error.
Please note that in order to generate graphs and screenshots with results, it would be best to run the code in a MATLAB environment and visualize the results directly.
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Will takes out a loan of $1400 at 4.5% interest. The loan term is 3 years, with a monthly payment of $101.89. How much interest does he
pay?
Answers
Answer:
+100 nasan yung tanong ah
A random sample of 750 US adults includes 330 that favor free tuition for four-year colleges. Find the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition O 7.7% 04.2% O 1.8% O 3.5% O 3.7%
Answers
Therefore, the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition is 4.2%.
The margin of error is the difference between the sample statistic and the population parameter. It shows how much the sample result can deviate from the actual population parameter.Here, the sample size n = 750, and the proportion of adults in the US who favor free tuition for four-year colleges is p = 330/750 = 0.44.Using the z-distribution, we can calculate the margin of error for the 98% confidence interval as follows:zα/2 = z0.01/2 = 2.33margin of error = zα/2 * √(p(1-p)/n)margin of error = 2.33 * √(0.44(1-0.44)/750)margin of error ≈ 0.042 or 4.2%Therefore, the margin of error of a 98% confidence interval estimate of the percentage of the population that favor free tuition is 4.2%.
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what equation represents this sentence?
0.7 increased by a number is 3.8.
a. 3.8 n = 0.7
b. 3.8 + n, = 0.7
c. 3.8n = 0.7
d. 0.7 + n = 3.8
Answers
The equation that represents the sentence "0.7 increased by a number is 3.8" is d) 0.7 + n = 3.8
To understand why this equation is the correct representation, let's break it down. The phrase "a number" can be represented by the variable n, which stands for an unknown value. The phrase "0.7 increased by" implies addition, and the number 0.7 is being added to the variable n. The result of this addition should be equal to 3.8, as stated in the sentence.
Therefore, we have the equation 0.7 + n = 3.8, which indicates that when we add 0.7 to the unknown number represented by n, we obtain a value of 3.8. This equation accurately captures the relationship described in the sentence, making option d, 0.7 + n = 3.8, the correct choice.
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6th grade math help me pleaseeee
Answers
Answer:
Meryann brought 6 friends to the party
Step-by-step explanation:
y=9x+24
24 is your constant because the cost for all the pizza won't change
9x will change, so x represents the number of friends she brought
and y will be 78 because it's the total amount of money
78=9x+24
all you have to do is solve this equation
54=9x
x=6
Answer:
Meryann had 6 friends at the party.
Step-by-step explanation:
Total cost = $78
Pizza cost = $24
1 Movie Ticket = $9
Movie Tickets = Total Cost - Pizza Cost
Movie Tickets = $78 - $24 = $54
No. of Friends = Movie Tickets ÷ Movie Ticket
No. of Friends = $54 ÷ $9 = 6
No. of Friends = 6
Help help pretty please
Answers
Answer:
Yes it is
Step-by-step explanation:
It passes the vertical line test.
Fill in the blanks to complete the area model to solve 6.60 divided by 15 is the same as _ x ? = _ 6.60 = _ hundredths
Answers
Answer:
[tex]15 x = 6.60[/tex]
[tex]x = 44\ hundredths[/tex]
Step-by-step explanation:
Given
[tex]\frac{6.60}{15}[/tex]
Required
Complete the model
[ ] x = 6.60
x = _ hundredths
[tex]\frac{6.60}{15}[/tex]
Equate to x
[tex]x = \frac{6.60}{15}[/tex]
Multiply both sides by 15
[tex]15 * x = \frac{6.60}{15} * 15[/tex]
[tex]15 * x = 6.60[/tex]
[tex]15 x = 6.60[/tex]
So, we have:
[ ] x = 6.60 =====> [tex]15 x = 6.60[/tex]
Recall that:
[tex]x = \frac{6.60}{15}[/tex]
[tex]x = 0.44[/tex]
This implies that:
[tex]x = 44\ hundredths[/tex]
Hence:
x = _ hundredths =====> [tex]x = 44\ hundredths[/tex]
one card is selected at random from a deck of cards. determine the probability of selecting a card that is less than 8 or a club. note that the ace is considered a low card.
Answers
To determine the probability of selecting a card that is less than 8 or a club from a standard deck of cards, we need to consider the number of favorable outcomes and the total number of possible outcomes.
First, let's calculate the number of cards that are less than 8. There are four suits (hearts, diamonds, clubs, and spades), and each suit has cards numbered 2 through 7. So, there are 4 suits * 6 cards per suit = 24 cards that are less than 8.
Next, let's calculate the number of clubs in the deck. There are 13 cards in each suit, and one of those suits is clubs. Therefore, there are 13 clubs in the deck.
To find the probability, we add the number of favorable outcomes (cards less than 8 or clubs) and divide it by the total number of possible outcomes (52 cards in a deck).
Probability = (24 + 13) / 52 = 37 / 52 ≈ 0.7115
Therefore, the probability of selecting a card that is less than 8 or a club is approximately 0.7115 or 71.15%.
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Which of the following is a sine of a in the right triangle below
Answers
Answer:
[tex]\frac{5}{13}[/tex]
Step-by-step explanation:
sine of A = [tex]\frac{opposite}{hypotenuse}[/tex]
opposite = 5
adjacent = 12
hypotenuse = 13
Answer:
C.) 12/13
Explanation:
trust me
Pi is: (click all that are correct) *
always the same, and is 3.14 or 22/7
delicious
used to help find the circumference of a circle
always a different number pls help lol
Answers
yes,Pi is 3.142 or 22/7
Step-by-step explanation:
22/7=3.14285714
Using the example 2 2 4
3 3 4
•= •and a math drawing, explain why multiplying the numerator and
denominator of a fraction by the same number results in the same number (equivalent fraction).
In your explanation, discuss the following:
• what happens to the number of parts and the size of the parts;
• how your math drawing shows that the numerator and denominator are each multiplied by 4;
• how your math drawing shows why those two fractions are equal.
Answers
When you multiply the numerator and denominator of a fraction by the same number, you are effectively scaling up or scaling down the fraction without changing its value. The math drawing demonstrates how the number of parts and the size of the parts change, while still representing the same amount, thus showing why the two fractions are equal.
To explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction, let's use the example you provided: 2/4.
First, let's understand the concept of a fraction. A fraction represents a part of a whole. The numerator represents the number of parts we have, and the denominator represents the total number of equal parts that make up the whole.
In the given example, 2/4, the numerator is 2, indicating that we have 2 parts out of a total of 4 equal parts. The denominator tells us that the whole is divided into 4 equal parts.
Now, let's say we want to multiply both the numerator and denominator by the same number, let's say 4. The new fraction becomes (2 * 4) / (4 * 4), which simplifies to 8/16.
Let's visualize this using a math drawing. Consider a rectangular shape representing the whole, divided into 16 equal parts, like a grid of squares, with 8 of those squares shaded. This represents the fraction 8/16.
Now, let's compare this to the original fraction, 2/4. If we draw a rectangle divided into 4 equal parts, and shade 2 of those parts, we can see that it represents the same amount as the fraction 8/16. By multiplying both the numerator and denominator by 4, we have essentially scaled up the size of each part and increased the number of parts.
Visually, the original fraction of 2/4 had fewer total parts (4) but larger-sized parts, while the equivalent fraction of 8/16 had more total parts (16) but smaller-sized parts. However, the total shaded area in both cases remains the same, which indicates that the fractions are equal.
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