Answer:
x=10
Step-by-step explanation:
20=x+(2x8)-6
20=x+16-6
20=16x-6
20=10x
x=10
The ocean tides near Carter Beach follow a repeating pattern over time, with the amount of time between each low and high tide remaining relatively constant. On a certain day, low tide occurred at 8:30 a.m. and high tide occurred at 3:00 p.m. At high tide, the water level was 12 inches above the average local sea level; at low tide it was 12 inches below the average local sea level. Assume that high tide and low tide are the maximum and minimum water levels each day, respectively. Write a cosine function of the form f(t)
The cosine function of the form f(t) is f(t) = 12cos((π/360)(t - 270))
Let's denote the low tide as t = 0. Hence, the first low tide of a day will always be at t = 0. There is no vertical shift in the tide levels, so we can assume that the mean tide level is 0 inches.
Therefore, the high tide is 24 inches above the low tide.
The time period for the function is the time difference between two successive low tides which is equal to 12 hours or 720 minutes.
A cosine function can be written as f(t) = Acos(B(t-C)) + D where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.
We can write a cosine function for the ocean tide as follows:f(t) = 24/2 cos((2π/720)(t - 270))
Here, the amplitude A is 24/2 = 12 since the high tide is 12 inches above the low tide.
The period B is 720 minutes since it takes 12 hours or 720 minutes for the tides to repeat themselves.The phase shift C is 270 since the high tide occurred halfway between the two low tides.
The vertical shift D is 0 because the mean tide level is 0 inches.
Hence, the required cosine function is f(t) = 12cos((π/360)(t - 270))
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Find the distance of D of AB
A=(-7,-7) B= (-3,-1)
The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.
Finding the distance of D of ABWe can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values we have, we get:
d = √((-3 - (-7))^2 + (-1 - (-7))^2)
= √((4)^2 + (6)^2)
= √(16 + 36)
= √(52)
≈ 7.21
Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.
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Which values from the set (-6. -4, -3, -1, 0, 2) satisfy this inequality? -1/2x+3≥50 -4 -3. -1, 0, and 2 only O-1, 0 and 2 only 0-6, -4, -3, and -1 only 0 -6 and -4 only
Answer:
D, -6 and -4 only
Explanation:
Given the inequality:
\(-\frac{1}{2}x+3\ge5\)First, subtract 3 from both sides:
\(\begin{gathered} -\frac{1}{2}x+3-3\ge5-3 \\ -\frac{1}{2}x\ge2 \end{gathered}\)Next, multiply both sides by -2.
\(\begin{gathered} -\frac{1}{2}x\times-2\le2\times-2 \\ x\le-4 \end{gathered}\)Note that when inequality is multiplied by a negative number, the inequality sign is reversed.
Therefore, the values from the set (-6. -4, -3, -1, 0, 2) that satisfy this inequality are: -6 and -4 only
results from a study using the following sampling method(s) can be generalized to at least the population from which the sample was drawn... a. simple random sampling b. stratified random sampling c. availability/convenience sampling d. snowball sampling e. both a and b f. both c and d
Simple random sampling is a sampling method that can be generalized to at least the population from which the sample was drawn.
Using simple random sampling, each component of the population has an equal probability and likelihood of being chosen. This sampling strategy is also frequently referred to as a method of chance since the selection of items in this case completely rests on chance or luck.
Simple random sampling is a simple sampling technique that is readily integrated into more sophisticated sampling techniques. Every sample has the same chance of being picked, which is the key characteristic of this sampling technique.
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focus groups of 12 people are randomly selected to discuss products of the yummy company. it is determined that the mean number (per group) who recognize the yummy brand name is 9.3, and the standard deviation is 0.99. would it be unusual to randomly select 12 people and find that fewer than 5 recognize the yummy brand name?
To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.
First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where
x is the observed value (in this case, 5)μ is the mean (9.3)σ is the standard deviation (0.99)Calculating the z-score:z = (5 - 9.3) / 0.99
z = -4.394
Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.
In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.
The exact probability can be determined using the z-score and the standard normal distribution table.
Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.
However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.
In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.
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What is the correlation coefficient, if Security M has a standard deviation of 21.8%, Security P has a standard deviation of 14.6% and the covariance is 2.1%?
Rounded to 4 decimal places, the correlation coefficient is approximately 0.0096.
The correlation coefficient (ρ) can be calculated using the formula:
ρ = Cov(M, P) / (σ(M) * σ(P))
Given that the covariance (Cov) between Security M and Security P is 2.1%, the standard deviation (σ) of Security M is 21.8%, and the standard deviation of Security P is 14.6%, we can substitute these values into the formula:
ρ = 2.1% / (21.8% * 14.6%)
ρ ≈ 0.009623
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A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
Cersei is dissatisfied with her current office building and would like to build a new, trophy building. The lot she wants to build on is a city block with a depth of 325 ft. and a width of 325 ft. The building she has in mind would have 80,000 square feet on each floor. The Council has imposed a cap on FAR of 20. How many floors can Cersei build
Since the number of floors must be a whole number, Cersei can build a maximum of 26 floors on the given lot while adhering to the FAR limit of 20.
To determine the number of floors Cersei can build on the given lot, we need to consider the Floor Area Ratio (FAR) limit imposed by the Council. FAR is the ratio of the total floor area of a building to the area of the lot it is built on. In this case, the FAR limit is set at 20, which means the total floor area cannot exceed 20 times the area of the lot.
The area of the lot is the product of its depth and width:
Area of the lot = Depth * Width
= 325 ft * 325 ft
= 105,625 sq ft
Since the FAR is capped at 20, the maximum total floor area allowed on the lot is:
Maximum Total Floor Area = FAR * Area of the lot
= 20 * 105,625 sq ft
= 2,112,500 sq ft
Given that each floor of Cersei's building has an area of 80,000 sq ft, we can determine the maximum number of floors as follows:
Number of Floors = Maximum Total Floor Area / Area per Floor
Number of Floors = 2,112,500 sq ft / 80,000 sq ft
Number of Floors ≈ 26.41
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Manders Manufacturing Corporation uses the following model to determine an optimal product mix for its two products, metal (M) and scrap metal (S):
Max Z = $30M + $70S
Where: 3M + 2S ≤ 15
2M + 4S ≤ 18
The above mathematical functions together constitute a(n):
a. Simulation model.
b. Linear programming model.
c. Economic order quantity model.
d. Multivariate regression model.
e. Nonlinear optimization model.
b. Linear programming model is the correct option.
How can Manders Manufacturing Corporation determine an optimal product mix for metal and scrap metal using a mathematical model?A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.
The constraints are represented by the inequalities:
3M + 2S ≤ 15
2M + 4S ≤ 18
These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.
Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.
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HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. How long is the book? _____=pages How long did it take Naoya to read the entire book?______=hours
total number of pages = 550 pages
total amount of time to read the full book = 10 hours
======================================================
Work Shown:
1 hour = 55 pages
4 hours = 220 pages ... multiply both sides by 4
After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall
550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.
While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.
Answer:
550 pages
10 hrs
Step-by-step explanation:
he reads 55 pages per hour
4 hrs* 55 pages/hrs=220 pages
the book is 550 pages long
220 pages+330=550 pages
to find the time to read the whole book:
330/55=6 hrs +4 hrs=10
or
550/55=10 hrs
Whats the answer please help!!!
Answer:b
Step-by-step explanation:cause i did that test yesterday
Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?
Answer:
123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer
A. 14
B. -10
C. 7
D. -12
Answer:
i think its 14 or 10
Step-by-step explanation:
Karen has $33 to buy pencils for her art school. She buys boxes of pencils that each cost $1.50 and is left with $9 after her purchase. How many boxes of pencils did she buy? Enter your answer in the box below.
Answer:16
Step-by-step explanation:
33-9=24
24/1.50=16
There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco is 15km. The scale on the second map is 1 cm to 100 km. What is the distance from Fresno to San Francisco on the second map?
Answer:
75 km
Step-by-step explanation:
Given the following :
Scale on first map = 1cm to 20 km
Distance fromFresno to San Francisco = 15km on first map
Scale on 2nd map = 1cm to 100 km
1cm / 20km = 15km
Let of Distance from Fresno to San Francisco on 2nd map = d
1cm / 100km = d
1 : 20 = 15
1 : 100 = d
20/ 100 = 15/d
1/5 = 15/d
d = 15 * 5
d = 75 km
I need help with this urgently!!
The number in a radical needs to be square rooted to get placed out of it, so the square root of 20 can be split into the square root of 4 times the square root of 5, which can then be simplified to 2 rad 5, but there is a 2 outside of the radical, so then it becomes 4 rad 5, which is equivalent to 4 rad 5 so the first one is an answer.
Raising a number to the exponent of 1/2 is basically square rooting it.
For the second one, it's rad 6 - rad 5, which is not equal to 4 rad 5. That is not an answer.
For the third one, it's 3 times rad 5 + rad 5. That's 3rad5 + rad5. That's 4 rad 5, which is equal to 4 rad 5 at the top, so this is an answer.
For the fourth one, it's 4 times rad 5, so that's 4 rad 5, which is equal to 4 rad 5. That is an answer.
For the fifth one, 10 cannot be simplified to get out of the radical because it's only factors are 2 and 5, and neither of them are squares. That is not an answer.
For the sixth one, it's 3 times rad 5, so it's 3 rad 5. That is not an answer.
The answers are the first one, third one, and fourth one.
Hope this helps
In a random sample of 190 people, 151 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Answer:
(0.7465 , 0.8429 )
Step-by-step explanation:
Confidence Level - "P" values
90% 1.645
Confidence Interval - "P" values
(0.7465 , 0.8429 )
George placed a compass on the vertices of the triangle and drew intersecting arcs to find points W, X, Y, and Z as shown. He is going to draw lines through the arcs and find their point of intersection.
The figure shows the triangle JKL in which JK is the perpendicular bisector of JL and WX is the perpendicular bisector of YZ.
What is George trying to find?
A.
one of the three different points that are equidistant from the three sides of the triangle
B.
one of the three different points that are equidistant from the three vertices of the triangle
C.
the only point that is equidistant from the three sides of the triangle
D.
the only point that is equidistant from the three vertices of the triangle
The answer of the given question based on the triangle is, option (A) one of the three different points that are equidistant from the three sides of the triangle.
What is Point of intersection?A point of intersection is a point where two or more lines, curves, or surfaces meet or cross each other. In geometry, the point of intersection can be used to find important properties of the objects involved, such as angles, distances, and coordinates.
George is trying to find point that is equidistant from three sides of the triangle.
The point of intersection of the lines passing through the arcs drawn from the vertices of the triangle using a compass is called the circumcenter of the triangle. The circumcenter is equidistant from three vertices of triangle, which means that it lies on perpendicular bisectors of three sides of triangle.
In this case, the perpendicular bisectors of JL and YZ are shown as lines JK and WX respectively. The circumcenter of triangle JKL is the point where these two lines intersect. This point is equidistant from the sides KL, LJ, and JK of the triangle.
Therefore, the answer is (A) one of the three different points that are equidistant from the three sides of the triangle.
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The answer is B. George is trying to find one of the three different points that are equidistant from the three vertices of the triangle.
Define the term Point of intersection?The intersection of two or more lines, curves, or surfaces is known as a point of intersection.
George is trying to find one of the three different points that are equidistant from the three vertices of the triangle JKL.
The intersection of the arcs drawn from the vertices of the triangle will be equidistant from those vertices. This point is called the circumcenter of the triangle, and it is the center of the circumcircle that passes through all three vertices of the triangle.
Since George is drawing lines through the arcs and finding their point of intersection, he is finding the circumcenter of the triangle. The circumcenter is one of the three different points that are equidistant from the three vertices of the triangle.
Therefore, the answer is B. George is trying to find one of the three different points that are equidistant from the three vertices of the triangle.
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I need the answer if possible
Answer:
Move each point 2 left then 3 up then connect the dots
Step-by-step explanation:
How do I find the area of this hexagon
The area of this hexagon is 374.4 in².
What is the area of the hexagon?
The area of the hexagon is calculated by applying the following formula.
total area of the regular hexagon = 6 x area of one face
Area of one face = ¹/₂bh
where;
b is the base of the triangleh is the height of the triangleArea of one face = ¹/₂ x ( 12 in ) x ( 10.4 in )
Area of one face = 62.4 in²
Total area of the hexagon = ( 6 ) x ( 62.4 in² ) = 374.4 in²
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Which of the following choices is the x intercept of the equation 2y-x=-6
Answer:
\(x = 6\)
Step-by-step explanation:
Given
\(2y-x=-6\)
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
\(2y-x=-6\) becomes
\(2(0)-x=-6\)
\(0-x=-6\)
\(-x=-6\)
Multiply both sides by -1
\(-1 * -x=-6 * -1\)
\(x=-6 * -1\)
\(x = 6\)
Hence, the x intercept is 6
Marcie jogs each morning. The relationship between the total number of miles she jogged this week, m, to the total number of miles she jogged last week, t, is represented by the equation m = 2t . Which description best represents this situation? Marcie jogged 2 less miles last week than she jogged this week. Marcie jogged 2 more miles last week than she jogged this week. Marcie jogged three times as many miles last week as she jogged this week. Marcie jogged twice as many miles this week as she jogged this week.
Answer: Marcie jogged twice as many miles this week as she jogged last week
Step-by-step explanation:
How do we multiply monomial times monomial?
A. Multiply the coefficients, Add the exponents
B. Multiply the coefficients, multiply the exponents
C. Add the coefficients, multiply the exponents
Answer:
A. Multiply the coefficients, Add the exponents
Step-by-step explanation:
To multiply monomials, multiply the coefficients, and add the exponents of the same variable.
Answer: A. Multiply the coefficients, Add the exponents
Answer:
a- multiply the coefficients, add the exponets.
Step-by-step explanation:
i already did it!
Give me a full note on oxidation number.
Answer:
oxidation number, also called oxidation state, the total number of electrons that an atom either gains or loses in order to form a chemical bond with another atom.Step-by-step explanation:
What is the sum of all the positive integers from square root 14 to square root 80
Answer:
The sum is 30.
Step-by-step explanation:
\(\sqrt{14}=3.74\\\sqrt{80}=8.94\\4+5+6+7+8 = 30\)
The sum of all the positive integers from square root 14 to square root 80 is 30.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
We need to find the sum of all the positive integers from square root 14 to square root 80.
√14 = 3.74
√80 = 8.94
Thus, √14 +√80
4 + 5+ 6 + 7 + 8
= 30
Therefore, the sum of all the positive integers from square root 14 to square root 80 is 30.
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Simplify the expression to a + bi'form:
(1 - 5i)(5 +6i)
\((1 - 5i)(5 + 6i) \\ = 5 + 6i - 25i - 30 {i}^{2} \\ = 5 - 19i + 30 \\ = 35 - 19i\)
I hope I helped you^_^
Answer:
35-19i
Step-by-step explanation:
(1-5i)(5+6i)
5-25i+6i-30i^2 where i^2=-1
5-25i+6i-30(-1)
5-19i+30
5+30-19i
35-19i
Please mark me as Brainliest if you are satisfied with the answer.
Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups. One group is given turkey to eat and the other group is not given anything to eat. Sara asks the adults to start exercising at the same, and to stop when they tire, measuring the time each adult stops exercising. She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey. Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can sara conclude the difference is significant?.
Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.
Given, that Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups.
One group is given a turkey to eat and the other group is not given anything to eat.
Sara asks the adults to start exercising at the same and to stop when they tire, measuring the time each adult stops exercising.
She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey.
We have to determine Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below.
Level of significance measures the unlikeliness of a hypothesis's against the measured reading.
0.05 is a common level of significance which depicts that there are 5% chances of a type I error thereby rejecting a true null hypothesis in a one-way test.
In two way test, it depicts that there are 2.5% chances of a type I error thereby rejecting a true null hypothesis.
It is the probability of rejecting a null hypothesis with a probability of test suffering an error of type based on the data, Sara can conclude that the difference is significant because when we are analyzing data and reach a statistically significant result then nothing or no event happens by chance.
Sara can conclude that the difference is significant because a two minutes difference is not likely to happen by chance.
In analyzing data, a statistically significant result is one that is not attributed to chance, that is, there is no way the event could have occurred by chance.
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Now that you have studied the translations of linear function, let's apply that concept to a function that is not linear.
The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;
a. y = f(x) + 3
b. y = f(x - 3)
c. y = f(x - 1) + 2
What is a transformation of a function?A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.
The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)
The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5
Therefore, we get;
a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a
Therefore, the translation of the graph of the parent function is; f(x) + 3
b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.
The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)
c. The translation of the graph in part c are;
A vertical translation 2 units upwards
A horizontal translation 1 unit to the right
The equation representing the graph in part c is therefore; y = f(x - 1) + 2
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I will give brainliest to who ever can help! I need the answers ASAP!!
Answer:
1.) open
2.) 4
3.) 6,2
4.) -2,-10
5.) (1,4)
11.) w=9
12.) 11-(2v+3)=-2v-8
13.) 3x-5=3x+8-x
14.) no solution
15.) infinitely many solutions
Hope this helps!
how do you do factors of 5 grade
Answer:
If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.
Step-by-step explanation: