Answer:
is A. -16
Step-by-step explanation:
Answer: A. -16
Step-by-step explanation: −7+−9
−16
Because since its the same sign you keep it and add it.
convert the Roman Numeral CCCXL (with two lines above it) to Hindu-Arabic form
Each line above the numbers multiply it by 1000. So this number is being multiplied by 1000000.
Each "C" is equal to 100, since there are "CCC" the number is 300.
"XL" is equal to 40, because "X" is equal to 10 and "L" is equal to 50, but since he X is on the left of the L we subtract them.
The number CCCXL is then 340, but there are the two lines. So we have:
\(\bar{\bar{CCCXL}}=340\cdot1000\cdot1000=340,000,000\)The difference between the water levels for high and low tide was 3. 6 feet. Write and solve an equation to find the water level at high tide
The difference between the water levels for the high and low tide was 3. 6 feet. the equation to find the water level at high tide x = y + 3.6, where High Tide Water Level = x and Low Tide Water Level = y.
In simple form it will be High Tide Water Level = Low Tide Water Level + 3.6. To explain this equation, the water level at high tide is equal to the water level at low tide plus 3.6 feet. The variable 'x' represents the water level at high tide, while the variable 'y' represents the water level at low tide. By adding 3.6 feet to the water level at low tide, we can find the water level at high tide.
For example, if the water level at low tide is 4 feet, the water level at high tide would be 4 + 3.6 = 7.6 feet. To find the water level at high tide for any given low tide water level, one can simply add 3.6 feet to the known low tide water level. This equation can be used to accurately calculate the water level at high tide for any given low tide water level.
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Alan is designing a costume for a
play. The graph shows the time it
takes him to sew the fabric. What
length of fabric can Alan sew in
1.5 minutes?
120
100
€80
Length (ft)
60
40
20
O
y
1
2 3 4
Time (min)
Alan can sew 60 feet of fabric in 1.5 minutes.
Describe Slope?In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the change in the vertical (y) coordinate to the change in the horizontal (x) coordinate between two points on the line. In other words, slope represents the rate at which the line is rising or falling. The slope of a line can be positive, negative, zero or undefined, depending on the direction and steepness of the line. The slope formula is given by:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line. The slope is often denoted by the letter m.
We can see that the relationship between time and length of fabric is a linear one. Using the two given points (1, 40) and (2, 80), we can find the slope of the line:
slope = (change in y) / (change in x) = (80 - 40) / (2 - 1) = 40
This means that for every 1 minute, Alan can sew 40 feet of fabric. To find how much fabric he can sew in 1.5 minutes, we can use the equation for a line:
y = mx + b
where y is the length of fabric, x is the time in minutes, m is the slope we just found, and b is the y-intercept (which we can find by plugging in one of the points).
Using the point (1, 40), we get:
40 = 40(1) + b
b = 0
So the equation for the line is:
y = 40x
To find the length of fabric Alan can sew in 1.5 minutes, we plug in x = 1.5:
y = 40(1.5) = 60
Therefore, Alan can sew 60 feet of fabric in 1.5 minutes.
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The complete question is:
what is 10 1/3 as an improper fraction
Answer:
31/3
Step-by-step explanation:
Multiply the denominator by the whole number 3×10=30
Then add the numerator 30+1=31
Hope this helps :)
The resulting improper fraction is 31 / 3.
To convert the mixed number 10 1 / 3 to an improper fraction, we first multiply the whole number (10) by the denominator of the fractional part (3), which gives us 30.
Then, we add the numerator of the fractional part (1) to get 31. We write the sum (31) as the numerator and keep the denominator (3) the same.
The resulting improper fraction is 31 / 3.
This means that 10 1/3 is equivalent to 31 / 3. The improper fraction emphasizes the total number of thirds, which is 31, without any whole number component.
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For each problem, decide whether the circumference of the circle or the area of the circle is
most useful for finding a solution. Explain your reasoning
a. A car's wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23
inches. You want to know how fast the car is travelling. Select)
b. A circular kitchen table has a diameter of 60 inches. You want to know how much fabric is
needed to cover the table top. Select)
c. A circular puzzle is 20 inches in diameter. All of the pleces are about the same size. You
want to know about how many pieces there are in the puzzle.
[ Select)
d. You want to know about how long it takes to walk around a circular pond.
[ Select
in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:
Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.
The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.
Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.
Plugging in the numbers, we get:
Q = ($1.5 trillion x 7) / 1.05 = $10 trillion
Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.
It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.
Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.
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Complete question
in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:
Find real output.
HELP ME PLEASE ITS GEOMETRY PLEADE HELP
Answer:
Step-by-step explanation:
Let the complement = x
Let the angle = 5*x
x + 5x = 90
6x = 90
x = 90/6
x = 15
So the complement = 15
The angle itself is 5*15 = 75
17. Which statement is NOT true?
If x²= 100, then x = 10.
If x=10, then x² = 100.
If x=-10, then x² = 100.
x² = 100 if and only if x = 10 or x = -10.
The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."
The statement that is NOT true is:
If x = -10, then x² = 100.
The other three statements are all true:
If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.
If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.
This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.
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Help plz ASAPPPP. The picture of the problem is down below. I need help. I'll give you 16 points to answer question
Answer:
evaluate 1.4 · 0.32
Step-by-step explanation:
Please Help ASAP! Find X.
The measure of angle x is 70°.
How to find the value of angle x?Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.
What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.
Then, for the left triangle, we can write:
30° + 80° + x° = 180°
Now we can solve that equation for x, then we will get:
x° = 180° - 80° - 30°
x = 70°
That is the measure of angle x.
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In the equation y=8x - 4 the y-intercept is?
[1] Find the probabilities of the followings. (a) toss five coins and find three heads and two tails. (b) the face ‘6’ turns up 2 times in 3 rolls of a die as (6 + other + 6). (c) 46% of the population approve of the president’s performance. What is the probability that all four individuals in a telephone toll disapprove of his performance? (d) take five cards from a card deck and find ‘full house.’
The total number of ways to choose five cards from a deck of 52 cards is (52 choose 5) = 2,598,960. Therefore, the probability of getting a full house is 3,744/2,598,960 = 0.00144.
(a) The total number of possible outcomes when tossing five coins is 2^5 = 32. The number of ways to get three heads and two tails is the number of ways to choose three heads out of five times the number of ways to choose two tails out of five, which is (5 choose 3) x (5 choose 2) = 10 x 10 = 100. Therefore, the probability of getting three heads and two tails is 100/32 = 0.3125.
(b) The probability of getting a '6' on a single roll of a die is 1/6. The probability of not getting a '6' on a single roll of a die is 5/6. The probability of getting '6 + other + 6' in three rolls of a die is (1/6) x (5/6) x (1/6) x 3 = 5/216. Therefore, the probability of getting '6 + other + 6' two times in three rolls of a die is (5/216)^2 x (211/216)^1 x (3 choose 2) = 0.0029.
(c) The probability of an individual disapproving of the president's performance is 1 - 0.46 = 0.54. The probability that all four individuals in a telephone poll disapprove of his performance is 0.54^4 = 0.054.
(d) A full house consists of three cards of one rank and two cards of another rank. The number of ways to choose the rank for the three cards is 13, and the number of ways to choose the three cards of that rank is (4 choose 3) = 4. The number of ways to choose the rank for the two cards is 12 (since one rank has already been chosen), and the number of ways to choose the two cards of that rank is (4 choose 2) = 6. Therefore, the number of ways to get a full house is 13 x 4 x 12 x 6 = 3,744. The total number of ways to choose five cards from a deck of 52 cards is (52 choose 5) = 2,598,960. Therefore, the probability of getting a full house is 3,744/2,598,960 = 0.00144.
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The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.
A map of the United notes.
Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d
The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:
300 < d < 699.
When does a set of three measurements can represent a triangle?A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.
The measurements for this problem are given as follows:
500 miles.200 miles.x miles.Then if 500 miles is the largest distance, we have that:
x can be between 300 and 500.
If x is the largest distance, we have that:
x can be between 501 and 699.
Then the range of possible distances is given as follows:
300 < d < 699.
(which are the distances for each case).
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Answer:
see picture
Step-by-step explanation:
I went hiking over the weekend. I hiked 1 3/4 miles when I came to a fork
in the trail. I went to the right. I hiked another 2 1/2 miles until I reached
the overlook. How much longer is the second part of my hike?
O 2/3
O 1/4
O 3/4
O 1/2
The second part of the hike was 2 1/2 miles longer than the first part. Therefore, the correct answer is option D) 1/2.
To find out how much longer the second part of the hike was, we need to subtract the distance covered in the first part from the total distance of the hike.
The distance covered in the first part of the hike is 1 3/4 miles. The distance covered in the second part of the hike is 2 1/2 miles. To add these two distances, we need to convert the fractions to a common denominator
1 3/4 = 7/4
2 1/2 = 5/2
Now we can add the distances
7/4 + 5/2 = 35/20 + 50/20
= 85/20
Simplifying, we get
85/20 = 4 1/4 miles
Therefore, the total length of the hike is 4 1/4 miles.
To find out how much longer the second part of the hike was, we need to subtract the distance covered in the first part (1 3/4 miles) from the total distance of the hike (4 1/4 miles)
4 1/4 - 1 3/4 = 2 1/2
So, the second part of the hike was 2 1/2 miles longer than the first part.
Therefore, the answer is option D) is 1/2.
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In a horse race, how many different finishes among the first 3 places are possible if 10 horses are running?
There are 720 possible horse combinations for the first 3 places in the race.
To solve this problem, let us break this down one by one.
There are 10 possible horses that could win in first place.
Therefore, this means that for each of these possibilities, there are now 9 horses that could come in second.
So there are 10 x 9 possible combinations for the first 2 places.
10 x 9 = 90.
And for each of those combinations, there are also 8 possible horses that could come in the third place. So
10 x 9 x 8 = 720
There are 720 possible horse combinations for the first 3 places in the race.
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Express 2101 three to base 10
Answer:
2101=64...............
Ixl dilations-find the scale factor and center dilation
The scale factor is 2 and center dilation is reduced.
The scale factor is a ratio that describes how much a figure has been enlarged or reduced. It is calculated by dividing the length of the corresponding sides of the original and dilated figures. If the scale factor is greater than 1, then the figure is enlarged, and if it is less than 1, then the figure is reduced.
To find the scale factor in an IXL dilations problem, you need to compare the corresponding sides of the original and dilated figures.
If the original figure has a side length of 4 units, and the dilated figure has a corresponding side length of 8 units, then the scale factor is 8/4=2. This means that the dilated figure is twice as large as the original figure.
The center of dilation is the point about which the figure is enlarged or reduced. It is the fixed point that remains unchanged during the dilation process.
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A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows:
F(x) =
0 x < 0
0.06 0 ≤ x < 1
0.16 1 ≤ x < 2
0.33 2 ≤ x < 3
0.69 3 ≤ x < 4
0.92 4 ≤ x < 5
0.99 5 ≤ x < 6
1 6 ≤ x
Calculate the following probabilities directly from the cdf
(a) p(2), that is, P(X = 2) (b) P(X > 3) (c)P(2 ≤ X ≤ 5) (d)P(2 < X < 5)
(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x
The probability mass function p(x) can be derived from the cdf by taking differences:
p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06 x = 10.1 x = 20.17 x = 30.36 x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)
The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.
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A box can at most be packed with 50 eggs. If there are
currently 20 eggs already. How many eggs can be added at
most?
____ eggs
Answer:
30
Step-by-step explanation:
find the slope of the line hurry!
Answer:
the slope is 3 :)
Step-by-step explanation:
Answer:
the slope is: 3
you find two points where the line crosses directly on a point, (2,2) and (5,3)
and count how many spaces upwards and how spaces to the right. slope is rise/run meaning the spaces upward is the numerator and the spaces right is the run. (if you have to count downward then that's a negative number, and if you have to count left, it's negative) but, this graph has a rise of 3 and a run of 1 or 3/1 or simplified to 3
Step-by-step explanation:
Angles J and K are complementary angles in a right triangle. The value of the cosine of angle J is equal to the ___________.
A. Cosine of angle K B. Sine of angle K C. Sine of angle J D. Tangent of angle K
Since J and K are complementary angles in a right triangle, we know that:\(J + K = 90 degrees\). The answer is (A) cosine of angle K.
Also, in a right triangle, the sine, cosine, and tangent of an angle are defined as follows:\(sin(A) = opposite/hypotenuse\)
\(cos(A) = adjacent/hypotenuse\)
\(tan(A) = opposite/adjacent\)
Therefore, the cosine of angle J can be expressed as:
\(cos(J) = adjacent/hypotenuse\)
And the cosine of angle K can be expressed as: \(cos(K) = adjacent/hypotenuse\)
Since the two angles share the same right triangle adjacent side and hypotenuse, and since they add up to 90 degrees, we know that they must have opposite sides that are different. That is, the opposite side of angle J is the adjacent side of angle K, and vice versa.
Therefore, we can express the sine of angle K in terms of the opposite and hypotenuse of angle J:\(sin(K) = opposite/hypotenuse = adjacent/hypotenuse = cos(J)\)
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Help please
What is 20000 x 0
Answer:
its 0
Step-by-step explanation:
Write an equation to match this graph.
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
\((\stackrel{x_1}{3}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{35}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{35}-\stackrel{y1}{15}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{3}}} \implies \cfrac{ 20 }{ 4 } \implies 5\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15}=\stackrel{m}{ 5}(x-\stackrel{x_1}{3}) \\\\\\ y-15=5x-15\implies {\Large \begin{array}{llll} y=5x \end{array}}\)
The chess club has 25% more males and females. If there were 20 males, how many females are there in the club.
How many less were the females?
Number of Females =
Thank You!!!!
Answer:
number of females =16
Step-by-step explanation:
100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4
what does the following expression mean?
7!
A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1
Answer: B
Step-by-step explanation:
A factorial is multiplying the integer and all of the integers below it together.
The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
The expression 7! means 7 factorial which is expanded as,
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
Hence, the correct option is B.
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plz help asap.. I have no idea how to do this.
Answer:
286
Step-by-step explanation:
Use term formula for +/-
Tn = a + (n-1)d
n= number of term
a= first number in sequence
d= difference between each number
T55 = 16 + (55-1)5
T55 = 16 + 270
=286
1 term= 5
10 terms = 50
16+ (55-1)5
16+54x5
54x5= 270
270+16=286
The 55th term would be 286
If a relation is a function will reversing the input and output also result in a function if yes explain why if not give a counter example
The function y = x is an example of a function that has an inverse that is itself a function. An inverse that is also a function would not exist for a function like \(y = x^2\) however.
What is function and its inverse?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
A function that "undoes" another function is called an inverse. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f1.
Consider the function y = x, this function has an inverse because each input is connected to precisely one output.
Consider, the function \(y = x^2\), this function is not a function after reversing the input and output values.
Because after reversing the input and output values, for each two input values we have one output value. Then its not a function.
Therefore, the function y = x is an example of a function that has an inverse that is itself a function. An inverse that is also a function would not exist for a function like \(y = x^2\) however.
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A house is 15 feet tall. Its shadow is 40 feet long at the same time the shadow of a nearby building
is 300 feet long. Find the height of the building.
Answer:
112.5 hope this helped
Step-by-step explanation:
Nov 22, 9:11:24 AM
An online furniture store sells chairs for $100 each and tables for $350 each. Every
day, the store can ship at most 18 pieces of furniture and must sell no less than
$3200 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.
After solving system of inequalities one possible solution is number of chairs y = 12 and number of tables a = 6.
Given:
An online furniture store sells chairs for $100 each and tables for $350 each. Every day, the store can ship at most 18 pieces of furniture and must sell no less than $3200 worth of chairs and tables.
Using a and y as variables, we get
100y + 350a ≥ 3200
Simplified,
50(2y + 7a) ≥ 3200
2y + 7a ≥ 3200/50
2y + 7a ≥ 64
y + a = 18
a = 18 - y
on solving two equations
2y + 7a = 64
2y + 7(18-y) = 64
2y + 126 - 7y = 64
-5y = 64 - 126
-5y = -62
5y = 62
y ≈ 12 chairs
a = 18 - 12
a = 6 tables.
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A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?