Answer:
´the set of all values for which the function is defined´
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.
Need help plzz%zzzzzzzzzzzz
Answer:
where is the question plez give question
Which of the following statements is NOT true?
YA
The slope of AB is
different than the
slope of BC.
The ratios of the rise to
the run for the triangles
are equivalent.
B
2.
х
-2
AB has the same slope
as AC.
The slope of Ac is
Answer:
The slope of AB is
different than the
slope of BC.
Step-by-step explanation:
Find the surface area of the figure. For calculations involving π give both the exact value and an approximation to the nearest hundredth of a unit. Let r = 5 and h = 5
Answer:
100 pi = about 314.16
Step-by-step explanation:
the surface area of a cylinder: SA = 2πrh+2πr^2
we plug in the values of r and h, and get
SA = 50pi + 50pi = 100 pi, which is approximately 314.16
If ⃗ = + + is perpendicular to both ⃗ = 5 + − 2 and = 3 − 3 + 6 , find and .
Answer:
The values of \(m\) and \(n\) are 0 and 2, respectively.
Step-by-step explanation:
If \(\vec {c} = m\,\hat{i} + n\,\hat{j} + \hat{k}\) is perpendicular to \(\vec {a} = 5\,\hat{i} + \hat{j} -2\,\hat{k}\) and \(\vec {b} = 3\,\hat{i} - 3\,\hat{j} + 6\,\hat{k}\), then the following relationships must be observed:
\(\vec {c}\,\bullet\,\vec {a} = 0\) (1)
\(\vec{c}\,\bullet \,\vec{a} = 0\) (2)
Then, we expand the previous expressions:
\((m, n, 1)\,\bullet\,(5, 1, -2) = 0\)
\(5\cdot m + n = 2\) (1b)
\((m, n, 1)\,\bullet\,(3, -3, 6) = 0\)
\(3\cdot m - 3\cdot n = -6\) (2b)
Then, we solve for \(m\) and \(n\):
\(m = 0, n = 2\)
The values of \(m\) and \(n\) are 0 and 2, respectively.
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
solve the following question
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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A cookie jar contains 8 oatmeal, 7 peanut butter and 10 sugar cookies. What is theprobability that Ivan will pull a peanut butter cookie from the jar, eats it, then pulls asugar cookie from the jar?A. 17/49B.7/60C. 17/600D. 7/600
Answer:
B. 7/60
Explanation:
Given;
Number of oatmeal cookies = 8
Number of peanut butter cookies = 7
Number of sugar cookies = 10
Total number of cookies = 8 + 7 + 10 = 25
So the probability of Ivan pulling a peanut butter cookie from the jar can be determined as seen below;
\(\begin{gathered} P(\text{peanut butter cookie) }=\frac{\text{ number of peanut butter cookies}}{\text{Total number of cookies}} \\ P(\text{peanut butter cookie) }=\frac{7}{25} \end{gathered}\)So if Ivan ate the peanut butter cookie he pulled (he did not replace it), it means that the total number of cookies will be 24, so the probability of pulling a sugar cookie from the jar will now be;
\(\begin{gathered} P(sugar\text{ cookie) }=\frac{\text{ number of sugar cookies}}{\text{Total number of cookies}} \\ P(sugar\text{ cookie) }=\frac{10}{24}=\frac{5}{12} \end{gathered}\)So we can determine the probability that Ivan will pull a peanut butter cookie from the jar, eats it, then pulls a sugar cookie from the jar by multiplying the above probabilities;
\(P(peanut,sugar)=\frac{7}{25}\times\frac{5}{12}=\frac{7}{5}\times\frac{1}{12}=\frac{7}{60}\)Therefore, the probability is 7/60
1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?
6/12, 1/2, 10/20, 5/10,
Answer:
Step-by-step explanation:
Haley and Lucas go to the candy store and each buy some candy. Haley buys c pieces of candy while Lucas bought 7c pieces. What information can we gather about the relationship between the number of pieces of candy Haley and Lucas bought?
A ratio shows us the number of times a number contains another number. Lucas buys 7 times the number of candies that Haley bought.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given Haley buys c pieces of candy while Lucas bought 7c pieces. Therefore, the number of candies bought by Haley and Lucas is in a ratio of 1:7.
It can also be concluded that the number of candies Lucas buy is 7 times of the number candies bought by Haley.
Hence, Lucas buys 7 times the number of candies that Haley bought.
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3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Help! Post Test: Polygons (edmentum) answers geometry
Answer: ok
Step-by-step explanation:
12,15,20,25,30,20,30,15,12,12
Answer:
The mode of this set of numbers is 12. If that is what you are looking for.
f/-4 + 11 =15 solve for f
Answer:
f= -16
Step-by-step explanation:
What is the leading coefficient of. Y=2x³ +5
Answer:
2
Step-by-step explanation:
the leading coefficient is the number in front of the variable with the largest exponent.
here, the largest exponent is 3 in 2x³ and the corresponding coefficient for that is 2
Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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based on his past record, luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arrow. assume that in one practice luke will attempt 5 shots of the arrow and that each shot is independent from the others. let the random variable x represent the number of times he hits the inner ring of the target in 5 attempts. the probability distribution of x is given in the table. P(X) 0 000001 0,00045 0.00810 0.07290 03280S 0.59049
What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X?
(A) 0.40951
(B) 0.50000
(C) 0.59049
(D) 0.91854
(E) 0.99144
The probability that Luke will touch the target's inner ring fewer times than the mean of X out of five attempts is 0.40951.
What is probability ?Probability refers to possibility.
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
According to our question-
P(target) equals 0.90
Let the random variable X stand in for the number of times the arrow is fired at the target's ring.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
Hence, The probability that Luke will touch the target's inner ring fewer times than the mean of X out of five attempts is 0.40951.
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what is the answer to
8-(4*2)/2=
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
1
Step-by-step explanation:
What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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An object falls freely from rest under the influence of gravity. If air resistance is negligible, the ratio ofthe distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall is
O 1:1:1
O 1:2:3
O 1:2:4
O 1:3:5
O 1:4:9
The correct answer is O 1:2:3. In a free-falling object, its acceleration due to gravity is constant.
What is distance?Distance is the physical separation between two points or objects. It is usually measured in miles, kilometers, or meters. Distance can be used to measure the length of a journey, the size of an area, or the difference between two locations. Distance is also used to measure the time taken to travel, the speed of an object, or the strength of a signal. Distance is an important concept in physics and mathematics, and it is fundamental to the understanding of the universe.
This means that the distance covered in each 1-second time interval is directly proportional to the square of the time elapsed. Therefore, the ratio of distances traveled during each 1-second time interval by the object during the first, second, and third seconds of its fall will be 1:2:3.
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If A is the set of numbers that are multiples of 8, B is the set of multiples of 4, and C is the set of multiples of 2, which of the following is the set of integers that will be in A but not B and C?
The set of integers that will be in A but not B and C will be 24, 32, 40,
How to explain the integerThe multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.
It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}
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Knowing that AQPT - AARZ, a congruent angle pair is:
Answer:
Angle T is congruent to Angle Z
Step-by-step explanation:
Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.
A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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How can i answer this?
Answer:
Listed below.
Step-by-step explanation:
To solve number 1, we can simply finish the pattern:2a, 3d, 4c, 5d, 6e, 7f, 8g...
We can do this by adding 1 number each time, 2 + 1 = 3...etc., then we go down one letter in the alphabet. a, b, c, d...etc.
To solve number 2, we just add one number each time to x.(Remember, 1x = x)
x, 2x, 3x, 4x, 5x, 6x... etc.
To solve number 4, we can just name the alphabet, skipping over one each time.A, B, C, D, E, F, G, H... etc.
To solve 4, we can add 2b each time.a + b + 2b = a + 3b
a + 3b + 2b = a + 5b
a + 5b + 2b = a + 7b... etc.
Finally, to solve for number 5 we can just add + \(?^{2}\) each time\(r^{1} + r^{2}= r^{3}\)
\(r^{3}+ r^{2} = r^{5}\) ... etc.
Add 5/8 + 5/8 . Simplify the answer and write as a mixed number
Answer:
1 ¼
Step-by-step explanation:
5/8 + 5/8
= ( 5 + 5 ) / 8
= 10/8
= 5/4
= 1 ¼
You have a part-time job. You earn $7.75 per hour. If you work 20 hours
each week, what is your straight-time pay for each week?
A. $140
B. $145
C. $148
D. $150
E. $152
F. $155
Answer:
F. $155
Step-by-step explanation:
For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.
$7.75 * 20 = $155
Thus, your weekly pay will be $155.
Cheers.
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8please help, this is urgent!
Quadrilateral WXYZ will be rotated 180° about the origin and then reflected across the y-axis.
W (-7,-2)
X (-4,-2)
Z (-6,-6)
Y (-3,-7)
Choose all of the statements about the quadrilateral and/or the the transformed quadrilateral that are correct.
A. The quadrilaterals will be congruent
B. The Quadrilateral will map onto itself
C. The quadrilateral will now appear in Quadrant 2
D. The quadrilaterals will have the same orientation
E. The quadrilaterals will be similar but not congruent
Answer: the answer is W (-7, -2)
Step-by-step explanation: