Answer:
75 percent
Step-by-step explanation:
The measure of an angle is 175. 5°. What is the measure of its supplementary angle?
If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.
To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:
β + α = 180º
The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°
Therefore, the measure of the supplementary angle is 4.5°.
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multiply: (3x-5)(-x+4) applying the distributive property, the expression becomes (3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4). What is the simpified product in standard form
Answer:
3x^2+17x-20
Step-by-step explanation:
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
Which is the equation of a line that has a slope of -5 and a y-intercept of -3? Show me how you arrived at your answer.
a) 2y = -5x - 3
b) -2y = 10x - 6
c) -2y = 10x + 6
d) 2y = 10x - 6
Answer:
c) -2y = 10x + 6
Step-by-step explanation:
The equation of a line in slope-intercept form is:
\(y=mx+b\)
The variables stand for:
\(y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis\)
Plugging in the given information into the equation:
\(y=-5x+(-3)\\y=-5x-3\)
Go through the answer choices:
a) 2y = -5x - 3
Divide both sides of the equation by 2
\(y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}\)
b) -2y = 10x - 6
Divide both sides of the equation by -2
\(y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}\)
c) -2y = 10x + 6
Divide both sides of the equation by -2
\(y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}\)
d) 2y = 10x - 6
Divide both sides of the equation by 2
\(y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}\)
Therefore the answer is c) -2y = 10x + 6
Additional Comments:
We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.
Represent the
proportional relationship $2 for 5 ears of
corn and $4 for 10 ears of corn using
another representation.
The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.
One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:
Price (in dollars) Quantity (in ears of corn)
2 5
4 10
This table shows the corresponding values of the price and quantity.
As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.
The relationship is proportional because as the price doubles, the quantity also doubles.
Another representation of this proportional relationship is through a graph.
We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.
By connecting these two points with a straight line, we can visualize the proportional relationship.
The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.
The slope of the line will indicate the rate of change between price and quantity.
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Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-5).
The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is \(\frac{X-5}{5}\), for the line with a slope 1/5 and passing through the point (-4, -5).
Finding the slop form using the formula \(m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }\)
The equation for x.
Here m=1/5.
∴ \(\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}\)
\(\frac{1}{5}\) × X-(-5) = Y-(-4)
\(\frac{1}{5}\) × X+5 = Y+4
X+5= 5Y+2O
X=5Y+20-5
X=5Y+15
∴Point-slop for X is X=5Y+15.
Solving for Y.
\(\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}\)
Simplifying and Solving.
\(\frac{1}{5}\) × X-(-5) = Y-(-4), Taken 0n X-(-5) the right side.
\(\frac{1}{5}\) × X+5 = Y+4
X+5= 5Y+2O
X+5-20=5Y
X-15=5Y
Taking 5 0n the right side.
\(\frac{X-15}{5}\) = Y
∴ Point-slop form for Y is \(\frac{X-5}{5}\)
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List the RANGE of the function?
(2,5), (-1, 4), (2, 8), (5,5)
Answer: The Range is 5,4,8
Step-by-step explanation:
Answer: The range is [4,8]
Step-by-step explanation:
What you want to look for is the smallest and largest y values, the smallest value is 4 and the largest is 8.
When answering a problem like this you want to put the smaller value first, so in this case, we put 4 first
So the equation for range would be something like 4 \(\leq\) y \(\geq\) 8
We use [ , ] because the brackets need that the said value is included in the data set.
Therefore we use the range equation to create the answer
[4,8]
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Answer:
\(t = 0.375s\)
Step-by-step explanation:
Given
\(h(t) = -16t^2 + 4t + 33\) --- driver 1
\(Rate = 2ft/s\) -- driver 2
\(height = 33ft\)
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
\(Rate = 2ft/s\) and \(height = 33ft\)
So, the function is:
\(h_2(t) = Height - Rate * t\)
\(h_2(t) = 33 - 2t\)
The time they drive pass each other is calculated as:
\(h(t) = h_2(t)\)
\(-16t^2 + 4t + 33= 33 - 2t\)
Collect like terms
\(-16t^2 + 4t + 2t= 33 - 33\)
\(-16t^2 + 6t= 0\)
Divide through by 2t
\(-8t + 3= 0\)
Solve for -8t
\(-8t = -3\)
Solve for t
\(t = \frac{-3}{-8}\)
\(t = 0.375s\)
Help me I’m not smart
Answer:
The top one is refraction
Refraction is the bending or change in angle of light
Hope this helps (sorry I don’t have the answer to the second question)
Answer:
1. Refraction
2. Translucent
Step-by-step explanation:
1. Refraction is the bending of light
2.Translucent Materials are materials that allow light to pass through them. Opaque materials do not allow light to pass through them.
The cost to rent a construction crane is $1200 per day plus $150 per oh use. Your budget for one-day crane rental is a most $3600
How many solutions does this system of linear equations have? Explain. 3y + 6x = 12 8x + 4y = 16
Answer:
first equation : 3y + 6×=12
second equation : 4y + 8x = 16
Step-by-step explanation:
first equation
3y + 6× = 12
now take the common ,
3( y + 2x ) = 12
so, y + 2x = 4
second equation
4y + 8x = 16
4 ( y + 2x ) = 16
so, y + 2x = 4
two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .
2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?
Answer:Time = 1/9 Hours 0r 0.11111 hours
Step-by-step explanation:
We Know that Speed = Distance / Tim\e
Using the constant rate of the speed given as 27 miles per hour at
Distance = 3miles
Time = Distance / Speed
Time = 3 miles / 27miles per hour = 1/9 hours
PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??
What's -6k + 7k and how do I solve it????
Answer: +1k
Step-by-step explanation: In order for you to be able to add two terms together, the terms need to be exactly the same except for the coefficients.
Here, since both terms contain a k, we can add them together.
So -6k + 7k simplifies to +1k.
Note that if you had said k,
that's also an acceptable answer.
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Calculate the freezing point of a water solution at each concentration. 3 attempts remaining Express your answer using two significant figures. 2.50 m Express your answer using three significant figures. AΣϕ Freezing Point =
By using two significant figures, we get Freezing point = -4.7 °CFor AΣϕ.
The freezing point of a water solution at a given concentration can be calculated using the formula,
Freezing point depression = ΔTf = Kf × molalitywhere ΔTf = freezing point depressionKf = freezing point depression constantmolality = moles of solute per kilogram of solvent At each concentration of a water solution, the freezing point can be calculated as follows: For 2.50 m concentration: First, we need to calculate the freezing point depression.
Since the molality is given in moles of solute per kilogram of solvent, we need to convert 2.50 m to molality in order to calculate ΔTf.
Molality = 2.50 mol solute / 1 kg solvent = 2.50 mKf for water is 1.86 °C/mΔTf = Kf × molality = 1.86 °C/m × 2.50 m = 4.65 °C
The freezing point of pure water is 0 °C, so the freezing point of the solution will be:
Freezing point = 0 °C - 4.65 °C = -4.65 °C
Expressing the answer using two significant figures, we get Freezing point = -4.7 °CFor AΣϕ, it is not clear what this term represents in relation to the question.
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What is the maximum number of non-overlapping regions? into which circle can be divided by 9 chords
The maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.
The maximum number of non-overlapping regions that a circle can be divided into by n chords is given by the formula:
N = (n^2 + n + 2) / 2
Substituting n = 9 into the formula, we get:
N = (9^2 + 9 + 2) / 2
N = (81 + 9 + 2) / 2
N = 92 / 2
N = 46
Therefore, the maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.
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The level of the tide in a harbor changes from 813 8 1 3 feet to 256 2 5 6 feet above sea level over a period of 212 2 1 2 hours. What is the change in tide level per hour over this period of time? Feet per hour
Answer:
-2.63 ft./hour
Step-by-step explanation:
The level of the tide in a harbor changes from 813 feet to 256 feet above sea level over a period of 212 hours. What is the change in tide level per hour over this period of time?
Solution:
The initial tide level was 813 feet while the final tide level was 256 feet above sea level within a period of 212 hours.
The change in tide level per hour is the ratio of the change in tide level to the period taken. Hence:
Change in tide level per hour = (Final tide level - initial tide level) / time taken
Change in tide level per hour = (256 ft. - 813 ft.) / 212 hours
Change in tide level per hour = -2.63 ft./hour
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answer: The area is 6.5
2x + 4y = -16
solve for y
Answer: y = -1/2x -4
Step-by-step explanation:
To solve for y, subtract 2x on both sides
2x-2x + 4y = -16 - 2x
Simplify
4y = -16 - 2x
Divide by 4 on both sides to get y by itself
4y/4 = -16 - 2x/4
Simplify
y = -4 - 1/2x
Switch the right-side terms to write them in slope-intercept form
y = -1/2x -4
Can someone please help me on these 3 equations please HELP ME !!!
please mark this answer as brainlist
Q2\find the DFT of the following sequence using DIT-FFT X(n) = 8(n) + 28(n-2) + 38(n-3)
The Discrete Fourier Transform (DFT) of the given sequence, X(n) = 8(n) + 28(n-2) + 38(n-3), can be computed using the Decimation-in-Time Fast Fourier Transform (DIT-FFT) algorithm.
The DIT-FFT algorithm is a widely used method for efficiently computing the DFT of a sequence. It involves breaking down the DFT computation into smaller sub-problems, known as butterfly operations, and recursively applying them. The DIT-FFT algorithm has a complexity of O(N log N), where N is the length of the sequence.
To apply the DIT-FFT to the given sequence, we first need to ensure that the sequence is of length N = 3 or a power of 2. In this case, we have X(n) = 8(n) + 28(n-2) + 38(n-3). The sequence has a length of 3, so we can directly calculate its DFT without any further decomposition.
The DFT of X(n) can be expressed as X(k) = Σ[x(n) * exp(-j2πnk/N)], where k represents the frequency index ranging from 0 to N-1, n represents the time index, and N is the length of the sequence. By substituting the values of X(n) = 8(n) + 28(n-2) + 38(n-3) into the equation and performing the calculations, we can obtain the DFT values X(k) for the given sequence.
The DIT-FFT algorithm can be applied to find the DFT of the given sequence X(n) = 8(n) + 28(n-2) + 38(n-3). The DFT provides the frequency domain representation of the sequence, revealing the magnitude and phase information at different frequencies.
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What is the value of y?
Answer:
60
Step-by-step explanation:
60+60+y=180 (angle sum property )
120+y=180
y=180-120
y=60
Tamika selects two different numbers at random from the set $\{8,9,10\}$ and adds them. Carlos takes two different numbers at random from the set $\{3,5,6\}$ and multiplies them. What is the probability that Tamika's result is greater than Carlos' result
The probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.
To solve this problem, we can start by finding all the possible sums that Tamika can get by adding two different numbers from the set $\{8,9,10\}$:
- $8+9=17$
- $8+10=18$
- $9+10=19$
Similarly, we can find all the possible products that Carlos can get by multiplying two different numbers from the set $\{3,5,6\}$:
- $3\times5=15$
- $3\times6=18$
- $5\times6=30$
Now we need to compare each sum with each product to see which ones satisfy the condition that Tamika's result is greater than Carlos' result. We can organize this information in a table:
| Tamika's sum | Carlos' product | Tamika's sum > Carlos' product? |
| ------------ | -------------- | ----------------------------- |
| 17 | 15 | Yes |
| 17 | 18 | No |
| 17 | 30 | No |
| 18 | 15 | Yes |
| 18 | 18 | No |
| 18 | 30 | No |
| 19 | 15 | Yes |
| 19 | 18 | Yes |
| 19 | 30 | No |
Out of the 9 possible combinations, there are 4 that satisfy the condition, namely when Tamika gets a sum of 17, 18 (twice), or 19 and Carlos gets a product of 15 or 18. Therefore, the probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.
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A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%. What does this mean? Are the conclusions below correct? Explain.
a) Between 83% and 95% of all orders arrive on time.
b)90% of all random samples of customers will show that 89% of orders arrive on time. c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time. e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
a) Choose the correct answer below.
A. This statement is correct.
B. This statement is not correct. It implies certainty.
C. This statement is not correct. No more than 95% of all orders arrive on
D. This statement is not correct. At least 83% of all orders arrive on time.
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 90% confidence interval for the proportion of all orders that arrive on time is 89% ± 6%.
a) The correct answer is A
b) The correct answer is B
c) The correct answer is C
d) The correct answer is D.
e) The correct answer is B.
a) Between 83% and 95% of all orders arrive on time.
The correct answer is A. This statement is correct.
b) 90% of all random samples of customers will show that 89% of orders arrive on time.
The correct answer is B. This statement is not correct. It implies certainty, but in reality, the statement refers to the confidence interval estimate for the proportion of orders that arrive on time based on the sample.
c) 90% of all random samples of customers will show that 83% to 95% of orders arrive on time.
The correct answer is C. This statement is not correct. No more than 95% of all orders arrive on time. The confidence interval represents the range within which the true proportion is estimated to fall, but it doesn't guarantee that all intervals will cover the true proportion.
d) The company is 90% sure that between 83% and 95% of the orders placed by the customers in this sample arrived on time.
The correct answer is D. This statement is not correct. The confidence interval provides an estimate of the proportion of orders that arrive on time, not a measure of the company's certainty.
e) On 90% of the days, between 83% and 95% of the orders will arrive on time.
The correct answer is B. This statement is not correct. It implies certainty about the proportion of orders arriving on time, but the confidence interval only provides an estimate based on the sample data and does not guarantee the exact proportion for every day.
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Solve this problem. 4|3x+4|=4x+8
For f(x)=5−x and g(x)=x2+5x, find: a) (f−g)(x)= b) (f−g)(−5)=
The function operation (f - g)(x) and (f - g)(-5) in the functions f(x) = 5 - x and g(x) = x² + 5x is -x² - 6x + 5 and 10 respectively.
What is the function operation (f - g)(x) and (f - g)(-5) in the given function?Given the functions in the question:
f(x) = 5 - x
g(x) = x² + 5x
a) (f - g)(x) =? b) (f - g)(-5) =?
Solving for a)
(f - g)(x)
we need to subtract the function g(x) from f(x).
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (5 - x) - (x² + 5x)
Simplify:
(f - g)(x) = 5 - x - x² - 5x
Collect and add like terms:
(f - g)(x) = -x² - 5x - x + 5
(f - g)(x) = -x² - 6x + 5
b)
(f - g)(-5)
Replace all the occurrences of x with -5:
(f - g)(x) = -x² - 6x + 5
(f - g)(-5) = -(-5)² - 6(-5) + 5
(f - g)(-5) = -25 + 30 + 5
(f - g)(-5) = -25 + 35
(f - g)(-5) = 10
Therefore, the function operation (f - g)(-5) is 10.
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Peyton has a number cube and a
coin. What is the probabiltiy that he
will roll a prime number and flip tails?
(ANSWER IN PERCENT
Answer:
Hello Darling! Answer: 14%
Step-by-step explanation:
Now I'm not always accurate, I can re-check myself if you think it isn't right! c;
Assume K is compact and F is closed. Decide if the following sets are definitely compact, definitely closed, both, or neither. (a) KnF (b) Fc U Kcc) K\F={x ϵ k : xɆF}d) KnFc
The following parts can be solved by the concept of Sets.
(a) KnF is definitely compact and closed.
(b) Fc U Kc is definitely closed, but not necessarily compact.
(c) K\F is definitely closed, but not necessarily compact.
(d) KnFc is definitely neither compact nor closed.
(a) KnF:
Since K is compact and F is closed, their intersection KnF is also closed, as the intersection of any finite number of closed sets is closed. Moreover, since K is compact, every open cover of K has a finite subcover, and thus, KnF is compact by the finite intersection property.
(b) Fc U Kc:
Fc is closed since the complement of a closed set is open, and Kc is closed since K is compact (and thus, closed) and the complement of a closed set is open. The union of two closed sets is also closed, so Fc U Kc is closed. However, Kc may not be compact, so Fc U Kc is not necessarily compact.
(c) K\F:
K\F is closed because it is the complement of the open set F. However, K\F may not be compact, as K itself may not be compact. For example, if K is the real line and F is the open interval (0,1), then K\F is not compact.
(d) KnFc:
KnFc is neither compact nor closed. To see that it is not compact, consider the sequence {x_n} in K given by x_n = (1 + 1/n, 0). This sequence converges to the point (1, 0), which is outside of K, but every term of the sequence is in K. Thus, K is not closed. On the other hand, since F is closed, Fc is open and contains K, so KnFc is not closed either.
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