Answer:
Yes, x=8
Step-by-step explanation:
Use the function below to find F(4).
F(x) = 3x
O A. 81
O B. 12
O C. 7
O D. 27
The answer is O C. 7
Answer: 81
Step-by-step explanation: trust me dawg
What are the first five terms of the explicit function
Answer:
Step-by-step explanation:
hm 2x2=4
solve the equation -4x+3x=2
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
Which is a property of an angle?
A-has two sides that each extend forever in both directions
B-has two endpoints
C-has two center points
D-has two rays that share a common endpoint
what is the probability that two cards chosen from an ordinary deck of 52 cards are both kings?
a. 1/15
b. 25/57
c. 25/ 256
d. None of the above
The probability that two cards chosen from an ordinary deck of 52 cards are both kings is d) None of the above.
There are 4 kings in a deck of 52 cards, so the probability of drawing one king from the deck is 4/52. Once a king has been drawn, there are only 3 kings left in the deck, and the total number of cards in the deck is reduced by one. So the probability of drawing a second king given that the first king has already been drawn is 3/51.
To find the probability of drawing two kings in a row, we need to multiply the probability of drawing the first king (4/52) by the probability of drawing the second king (3/51) given that the first king was drawn:
Probability of drawing two kings = (4/52) * (3/51) = 1/221
Therefore, the probability that two cards chosen from an ordinary deck of 52 cards are both kings is 1/221, which is not one of the options listed. Thus, the correct answer is option d) None of the above.
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Use the distributive property to simplify this expression -2x(3x + x-5)
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
What is the place value of the 3 in the following number:
0.2738
Answer:
It is in the thousands place
A. Each step in this pattern decreases by 1 block. B. Each step in this pattern increases by 1 block. C. Each step in this pattern doubles the number of blocks. D. Each step in this pattern triples the number of blocks.
Answer: Each one increases by 1 block
Step-by-step explanation:
As part of a competition, Diego must spin around in a circle 6 times and then run to a
tree. The time he spends on each spin is represented bys and the time he spends
running is r. He gets to the tree 21 seconds after he starts spinning. If it takes Diego 1.2
seconds to spin around each time, how many seconds did he spend running?
Answer:
It took him 13.8 sec to run
Step-by-step explanation:
Time to spin 6 times can be represented mathematically by "6 s". Then the total time it took him to get to the tree (which must be the addition of the time spinning plus the time running) is:
6 s + r = 21 sec
since each spin takes him 1.2 sec, then we have:
6 (1.2 sec) + r = 21 sec
7.2 sec + r = 21 sec
r = 21 sec - 7.2 sec
r = 13.8 sec
1
Which expression has a value of 36?
Answer: (1/6)^2
Step-by-step explanation:
Answer:
The third answer is correct
Step-by-step explanation:
Use the properties of degrees:
1)
\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)
\( \frac{1}{6561} ≠ \frac{1}{36} \)
.
2)
\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)
\( \frac{1}{729} ≠ \frac{1}{36} \)
.
3)
\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)
\( \frac{1}{36} = \frac{1}{36} \)
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
In a certain city the number of hours of daylight on day t (where t is the number of days after January 1) is modeled by the function
n(2π (t-80)).
365
(a) Which days of the year have about 9 h of daylight? (Enter your answers as a comma-separated list.)
L(t) = 11+ 2.81 sin
(b) How many days of the year have more than 9 h of daylight?
(a) February 4 and November 3 of the year have about 9 h of daylight.
(b) 271 days with more than 9 hours of daylight.
What is a function?
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
Here, we have
Given
(a) L(t) = 11+ 2.86 sin(2π/365 (t-80))
L(t) = 9
9 = 11+ 2.86 sin(2π/365 (t-80))
-2 = 2.86 sin(2π/365 (t-80))
-2/2.86 = sin(2π/365 (t-80))
-2/2.86 = -0.6993
Sin function is negative on [π, 3π/2] and [3π/2, 2π]
sin⁻¹(-0.6993) = 2π/365 (t-80)
2π/365 (t-80) = 3.9160 or 5.5087
t = 80 + 365/2π(3.9160 or 5.5087)
t = 35 or 307
After January 31 days and February 4 days
For t = 35 days = February 4
For t =307days = November 3
Hence, February 4 and November 3 of the year have about 9 h of daylight.
(b) There are 35 + (365-307) = 35 + 58 = 94 days with 9 hours or less
Hence, 365 - 94 = 271 days with more than 9 hours of daylight.
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
Solve (10, 5) and ( 15, 6) in point slope form
Answer:
\(\boxed{\frac{1}{5}}\)
Step-by-step explanation:
Formula:
\(\boxed{\frac{y_{2} -y_{1}}{x_{2}-x_{1}}}\)
First, label each point. It does not matter how you label it, you will still get the same answer if done accurately. I will just label mins like:
\((x_{1}=10, y_{1}=5)\:\: (x_{2}=15, y_{2}=6)\)
Next, plug these points into the formula.
\({\frac{y_{2} -y_{1}}{x_{2}-x_{1}}}\\\\={\frac{6 -5}{15-10}\)
Lastly, solve.
6 - 5 = 1
15 - 10 = 5
\(=\frac{1}{5}\)
Therefore, the slope is \(\frac{1}{5}\)
Given the figure below .find X and Y to three significant digits.Write your answer in the answer box provided below
Check the picture below.
Make sure your calculator is in Degree mode.
\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)
Complete the word problems.Please be quick, I am in a hurry.
EXPLANATION
Since we need to earn at least $120 per hour
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+
Answer:
A
Step-by-step explanation:
To find 10% of 500 you would multiply 500 by 0.1
A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?
Answer:
-$0.15
Step-by-step explanation:
We have been given win = $10, and loss = $-1
This deck of cards has 4 aces out of a total of 52 cards.
Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.
P(win) = number of favorable outcome/number of possible outcome
= 4/52
= 1/13
P(loss) = number of favorable outcome/number of possible outcome
= 48/52
= 12/13
Then we have
$10x1/13 + (-1)x12/13
= 10/13-12/13
= -2/13 dollars
= -$0.15
Using the principle of discrete probability, the expected value, which a measure of the mean amount after many plays is - 2/13
Calculating the required probabilities :
P(winning) = P(drawing an Ace) = 4/52 = 1/13
Hence, P(losing) = 1 - 1/13 = 12/13
X :____ 10 _____ - 1
P(X) : _ 1/13_____ 12/13
The expected value :
E(X) = 10 × (1/13) + - 1(12/13)
E(X) = 10/13 - 12/13
E(X) = - 2/13
Hence, the measure of the mean amount is -2/13.
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The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD. (b) Find the length of AD. (c) Find the area of triangle ABD. (This is all one question)
Answer:
5.8206 cm10.528 cm23.056 cm^2Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
__
(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
__
(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
_____
Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
The manager of a company wants to find out how many hours the employees worked in the previous month. Which of the following is a statistical question that the manager can ask?
It only seeks a single value and does not involve collecting data to draw general conclusions.
Which of the following is a statistical question that the manager can ask?"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.
On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.
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Differentiation
Find the formula to find the gradient
Answer:
x + 4/3x^3
Step-by-step explanation:
y=1/2x^2-2/3x^-2
dy/dx=1/2(2x)-2/3(-2x^-3)
=x+4/3 x^-3
=x+4/3x^3
Answer:
X+4/3x3 is the answer for the differentiation question
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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tisha and her academic team are working
Answer:b equals T minus a minus c minus d all over 3 ⇒ 3rd answer
Step-by-step explanation:
- Tisha and her academic team have had three local matches
# Assume that the points of the local matches are a , c , d
- They will attend a district match
- District match points count for three times the number of points
than local matches do
# Assume that the points of the district match is b
- T is the total points they will earned in the four matches
∵ The points in the local matches are a , c , d
∵ The point in district mach is 3b
∴ T = a + c + d + 3b
* Lets find b in terms of a , c , d , T
∵ T = a + c + d + 3b
- Subtract a from both sides
∴ T - a = c + d + 3b
- Subtract c from both sides
∴ T - a - c = d + 3b
- Subtract d from both sides
∴ T - a - c - d = 3b
- Divide both sides by 3
∴
∴ b equals T minus a minus c minus d all over 3
Find the measure of < 6.
Answer:
Angle 6 = 70
Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.
1. Rosa spent $7.32 оn snacks each day for 9 days. What is the total amount of the money that Rosa spent on snacks?
Answer:
the answer is $65 88 hope it helps