The trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cos(-x) =cosx= 3/4
and tanx=
We need to find sin(-x)
tank is ratio of sinx and cosx
We know that tanx=sinx/cosx
√7/3=sinx/3/4
Apply cross multiplication
sinx=√7/3.3/4
sinx=√7/4
sin(-x)=-sinx=-√7/4
Hence, Trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3
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One serving of a fruit punch recipe serves 16 people.
Which of the following answer choices correctly lists the ordered pairs for 1, 2, 3, and 4 servings? (number of servings, number of people served)
This is the correct answer
(1, 16), (2, 32), (3, 48), (4, 64)
Now for part 2 Plot the ordered pairs from question 1. You can only plot one point at a time. Plot serving 1 below. The image is below. Please snip and sketch the image then edit the image and draw where the points go. Thanks :)
The required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
One serving of a fruit punch recipe serves 16 people.
As per the given question, the required solution would be as:
1 x 16 = 16 ⇒ (1, 16)
2 x 16 = 16 ⇒ (2, 32)
3 x 16 = 16 ⇒ (3, 48)
4 x 16 = 16 ⇒ (4, 64)
Thus, the required list of the ordered pairs for 1, 2, 3, and 4 servings as (1, 16), (2, 32), (3, 48), (4, 64).
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Suppoe the original quantity i 175 and the new quantity i 126. Write an expreion that repreent the percent change. Find the percent change and expre it a a rational number
The percent change for the expression for the given rational number is 28%.
Define the term percent change?A quantity's percentage change is equal to the ratio of such difference between the quantity's current value and its starting value multiplied as 100. When a quantity's ultimate value is determined by increasing or decreasing a percentage of its original value, there is always an change in the quantity's percentage change (or percent change).As the stated question-
Original quantity = 175
New quantity = 126
Difference = Original quantity - New quantity
Difference = 175 - 126
Difference = 49
Percentage change = Difference/Original quantity x 100 %
Percentage change =49/175 x 100%
Percentage change = 28%
Thus, percent change for the expression for the given rational number is 28%.
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Please help! you have to find the product
Answer:
-4x^2 - 6x
Step-by-step explanation:
2x(-2x-3)
Use the distributive property to multiply 2x by -2x - 3.
-4x^2 - 6x
a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m
The answer of the given question is A rectangular block of mass m has an inertia moment of Bh3/3.
What is moment of inertia?When a body resists having the direction of its rotation along an axis changed by the application of a torque, this resistance is referred to as having moment of inertia. There are four types of axes: internal, external, fixed, and moving. It is possible to calculate the moment of inertia (I), which is always expressed in terms of that axis, by adding the results of multiplying each particle's mass by the square of its distance from the axis within the particular body. Moment of inertia is the same as mass in linear momentum when calculating the angular momentum of a rigid body.
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Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
r(t) = 2 cos(t)i + 2 sin(t)j + k r(0 (x, y, z) = (x, y, z) = -() -C (39) (x, y, z) = (x, y, z) = (Tt) (x, y, z) = (1) (X, Y, 2) = (33) (1) (x, y, z) = (x, y, z) = r(27) (x, y, z) =
Prove that x^3+15x^2+74x+120 is always divisible by 6. Please
It is true that the polynomial is divisible by 6
How to prove the division of the polynomial?From the question, we have the following polynomial that can be used in our computation:
Polynomial = x^3+15x^2+74x+120
Divisor = 6
Rewrite the given parameters as
P(x) = x³ +15x² + 74x + 120
x = -6
Substitute x = -6 in the equation P(x) = x³ +15x² + 74x + 120
P(-6) = (-6)³ +15(-6)² + 74(-6) + 120
Evaluate
P(-6) = 0
because the result is 0, the polynomial is divisible
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how would the test statistic change for the wilcoxon rank sum test for the crickets data if the largest value in the fed group had actually been 100 hrs?
The assumptions of the two-sample t-test for comparing two population means:
1. The two samples are independent of one another.
2. The two populations have equal variance or spread.
3. The two populations are normally distributed.
The Wilcoxon test is based upon ranking the nA +nB observations of the combined sample. Each observation has a rank: the smallest has rank 1, the 2nd smallest rank 2, and so on. The wilcoxon rank-sum test statistic is the sum of the ranks for observations from one of the samples.
The Wilcoxon signed rank test is a non-paracontinuouse-level test, in contrast to the dependent samples t-test.
Wilcoxon tests have about 95% of the power of a t-test if the data really are normal, and are often far more powerful if the data is not, so just use a Wilcoxon.
The Wilcoxon test may produce misleading results if many measurements are the same value. When many values are the same, their relative ranks are the same, and this has the effect of diluting the test.
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how to write the expression 12 and
Answer: What is the last part of the question?
Step-by-step explanation:
I can't answer the question because it is incomplete. Sorry :(
Zoe goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Zoe decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zoe paid.
The expression in terms of x that represents the total amount that Zoe paid is 1.2075x
What is an expression that represents the total amount that Zoe paid?Expression are simply used to illustrate the datathat are given. It should be noted that it's usually represented by the variables given.
From the information, Zoe goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill and Zoe decides to leave a tip of 15% on the entire bill.
The expression will be:
= x + (5% × x) + (15% × 1.05x)
= x + 0.05x + 0.1575x
= 1.2075x
Therefore, the expression based on the above will be 1.2075x.
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directions in attachment!
The answers are 285 and 7392.
a If you have 2/3 of your first 18-egg carton full, how many more eggs will fit in that
carton? What fraction card will you need to draw to fill the first carton exactly?
Answer:
6 eggs
Step-b6y-step explanation:
18 - (18× 2/3) = 6
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the capacities (in ampere-hours) of 10 batteries are 140, 136, 150, 144, 148, 152, 138, 141, 143, 151. (a) estimate the population variance σ2. (b) compute a 99 percent two-sided confidence interval for σ2.
The population variance of the capacities is 30.76
the capacities (in ampere-hours) of 10 batteries are 140, 136, 150, 144, 148, 152, 138, 141, 143, 151.
The number of observations n = 10
mean = (x₁ + x₂ + x₃.....x₁₀)/10
mean = (140 + 136 + 150 + 144 + 148 + 152 + 138+ 141 + 143 + 151)/10
mean = 1443/10 = 144.3
variance = ∑(x - mean)²/(n - 1)
variance = ((140 - 144.3)² + (136 - 144.3)² + (150 - 144.3)² + (144- 144.3)² + (148 - 144.3)² + (152 - 144.3)² + (138 - 144.3)² + (141-144.3)² + (143 - 144.3)² + (151 - 144.3)²)/(10 - 1)
variance = 276.9/9 = 30.76
Therefore, the population variance of the capacities is 30.76
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if f=72 when a=9 find a when f=56
Answer: just use the internet
Step-by-step explanation:
boom yo answer
The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with confidence that the mean household income in the U.S. falls between . Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.
the error bound for the mean U.S. household income is +/- $234, while the point estimate is $63179.
A yearly census identical to the one performed every ten years is conducted by the American Community Survey (ACS), a division of the United States Census Bureau, but with a lower participation rate. Since the most recent poll has high confidence that the mean household income in the United States is between, the point estimate for that income is $63179, and the error bound is +/- $234.
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The dinner bill came to $72.48 and Julio tipped the waiter 15%. What is the total price of dinner?
Answer: $83.35
Step-by-step explanation:
Find 15% of 72.48 = 10.87
10.87 + 72.48 = 83.35
7. A square pyramid has triangular faces, each with a base, of 8 inches and a height of 14 inches. The total surface area of the square pyramid is 288 in2. What is the area of the base of the square pyramid?
To lose weight, Kelly reduced her caloric intake from 2000 per day to 1360 per day. What is the percent of decrease in calories
Step-by-step explanation:
2000-1360=640
%change=640/2000×100
=32%
-3(x-4)=-9(x-1) solving linear equations
-3(x-4)=-9(x-1)
-3x+12=-9x+9
-3x+9x=9-12
6x=-3
x= -3/6
x=-1/2
a clinical sample of patients with anorexia nervosa is randomly assigned to receive either cognitive-behavioral or psychodynamic therapy. upon completion of treatment, all participants are exposed to three different types of everyday stressors at different times. after exposure to each stressor type, the amount of food consumed by participants is recorded. which is the correct classification of this design?
2x3 mixed factorial design is the correct classification of this design.
In the given question, we have to find which is the correct classification of this design.
Three subgroups can be identified within this clinical grouping, though there are no clear divisions between them. The first category includes instances that closely resemble anorexia nervosa or bulimia nervosa but fall short of the diagnostic criteria's cutoff point.
Cases where the characteristics of AN and BN occur in various combinations from those seen in the prototypic illnesses make up the second and largest class.
Those who suffer from binge eating disorder make up the third grouping.
So, 2x3 mixed factorial design is the correct classification of this design.
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The right question is given below:
Which number line represents the solutions to |x + 4 = 2?
The melting point of a solid is the temperature at which is solid melts to become a liquid. The melting point of the element bromine is about 19°F. This is about 57°F more than the melting point of mercury. Which of the following equations can you use to find the melting point of mercury? What is the melting point of mercury?
x + 57 = 19
x - 57 = 19
x + 19 = 57
x + 19 = -57
Answer: A
Step-by-step explanation: If the melting point of Bromine is 19 degrees and the melting point of mercury is 57 degrees less than that then x (which is mercury's melting point) plus 57 degrees will equal 19.
**WILL MARK BRAINLIEST AND GIVE 30 POINTS**
Mrs. Thomason and Mrs. Ardoin are kayaking in the bayou in the same direction.
a) Mrs. Ardoin is boating at a constant speed of 15 miles per hour. Write an expression that shows how many miles Mrs. Ardoin has gone after x hours.
b) Mrs. Thomason starting kayaking of an hour before Mrs. Ardoin. If Mrs. Ardoin has been kayaking for x hours, how long has Mrs. Thomason been kayaking?
c) Mrs. Thomason is kayaking at a constant speed of 9 miles per hour. Write an expression that shows how many miles Mrs. Thomason has gone after Mrs. Ardoin has been riding for x hours.
d) Use your expressions to find when Mrs. Thomason and Mrs. Ardoin will meet.
a) The expression that shows how many miles Mrs. Ardoin has gone after x hours is of: s(t) = 15t.
b) Mrs. Thomason has been kayaking for x + 1/3 hours.
c) The expression that shows how many miles Mrs. Thomason has gone after Mrs. Ardoin has been riding for x hours: s(t) = 9t + 3.
d) They will meet after half an hour.
How to define the linear functions?The linear functions for the position are defined as follows:
s(t) = vt + s(0).
In which the variables are given as follows:
v is the velocity.t is the time.s(0) is the initial position.Mrs. Ardoin is boating at a constant speed of 15 miles per hour, hence his equation is of:
s(t) = 15t.
Mrs. Thomason has been kayaking for a third of an hour more than Mrs. Ardoin, at a rate of 9 miles per hour, hence his initial position is of:
s(0) = 1/3 x 9 = 3 miles.
Thus the equation is of:
s(t) = 9t + 3.
They will meet when:
15t = 9t + 3
6t = 3
t = 0.5.
Hence after half an hour.
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find a parametric representation using spherical-like coordinates for the upper half of the ellipsoid 4x2 8x 9 y2 36(z 1)2
x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like coordinates.
Given,
In response to our inquiry:
Add "-9y²" to each side of the equation.
4x² + 9y² + -9y² + -1z² = 36 + -9y²
9y² + -9y² = 0 when equivalent phrases are combined.
4x² + 0 + -1z² = 36 + -9y²
4x² + -1z² = 36 + -9y²
Add "z²" to both sides of the equation.
4x² + -1z² + z² = 36 + -9y² + z²
Therefore,
x² = 9 + -2.25y² + 0.25z² provides a parametric representation of the upper half of the ellipsoid in spherical-like dimensions.
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I NEED HELP FAST!!!! Let s represent the number of games a baseball fan attends. Enter an inequality that represents all values of s for which buying a main box season ticket is less expensive than buying single-game main box tickets.
You are writing an article for your school newspaper about the Oakland Athletics. Season tickets go on sale next week and you have been assigned to write an article to help fans determine whether they should buy season tickets or single-game tickets based on their expected attendance at the games this season.
Buying a season ticket allows you to attend all 81 home games for a single price. Without a season ticket you have to pay for every single game that you attend.
Image result for Oakland Athletics Tickets Box Office
The table shows different ticket price options.
In this task you will answer six questions about the ticket price options and recommend which is best for fans. Be sure to show all your work for each item.
1. A season has 81 home games. If you purchase a season ticket in the bleacher section , what is the cost per game, in dollars for this ticket?
.2. Complete the table based on the single game ticket for seats in the Left field reserve section.
Step-by-step explanation:
The key role for CPS is to minimize stigma and be an ambassador for recovery. Describe a situation where you had to confront stigma
Determine the slope of the line
A. 1/3
B. -1/3
C. 3/1
D. -3/1
Answer: C
Step-by-step explanation:
The graph is going up not going down so it can't be a negative slope and we can eliminate choices B & D. We know that the slope is rising over run, and we see that the y increase by 3, and x increase by 1, so the slope is 3/1.
in a proof what is the reason that justifies this statement: segment bp is congruent to segment bp.
The necessary explanation is that segment BP is congruent to segment BP, which is the common side of both triangles.
Two figures or items are congruent in geometry if they have about the same size, or if one has the same shape and size as its mirror counterpart.
As seen in the illustration, segment BP and segment BP are congruent since segment BP is the common side of both triangles BPS and BPY.
As a result, the necessary explanation seems to be that segment BP is congruent to segment BP and that segment BP is the identical side of both triangles.
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Make g the subject of the formula w=7- square root g
The value of g is g = w² - 14w + 49, according to the question.
What do you mean by formula?
A truth or a rule expressed using mathematical symbols is the formula. An equal sign is typically used to connect two or more values. When you are aware of the value of one quantity, you can use the formula to determine the value of the other. It facilitates speedy question resolution. Formulas are used in algebra, geometry, and other subjects to speed up and simplify the process of arriving at the result.
According to the given question,
We have :
w = 7 - √g
Firstly isolate the g,
w = 7 - √g
Do the opposite of PEMDAS, first subtract 7 from both sides,,
w (-7) = -√g + 7 (-7)
w - 7 = -√g
Now, multiply -1 (as -√g is the same as -1√g) to both sides
-1(w - 7) = √g
-1w + 7 = √g
To get rid of the square root, you must square both sides,
Note: -1w is the same as -w.
Note: you are squaring all the terms on the other side, not just one.
(-w + 7)² = (√g)²
g = (-w + 7)²
g = (-w + 7)(-w + 7) (note, this can be the answer your teacher wants, or g = (-w + 7)² )
Use the FOIL method (First, Outside, Inside, Last)
(-w)(-w) = w²
(-w)(7) = -7w
(7)(-w) = -7w
(7)(7) = 49
g = w² - 7w - 7w + 49
Then, simplify (combine all like terms):
g =w² - 7w - 7w + 49
g = w² - 14w + 49
Therefore, the value of g = w² - 14w + 49 .
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The tape diagram below represents 100%. What percent is represented by the shaded area?
Answer:
Below
Step-by-step explanation:
shaded area is 3 out of 4 or 3/4 which is .75 which represents 75%
The probability of obtaining a head when a certain coin is flipped is about 0.65 Whi ch of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times? A. 0.14 B. 0.37 0.39 0.60 0.65
The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.37
Given:
P = 0.65
1-P = 1-0.65 = 0.35
n = 25
x = 15
The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.
Favorable Results/Total Results = x/n, where Probability(Event)
using binomial distribution:
P(X = x ) = ⁿCₓ (P)ˣ (1-P)ⁿ⁻ˣ
∴ Heads obtained 15 or fewer times
P(X ≤ 15)
we use exceed formula:
P(X≤15) = BINOM DIST(15,25,0.65,FALSE)
= 0.3696920
≈ 0.37
Hence we get the required answer.
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in how many ways can we seat 6 people at a round table if john and sam insist on sitting next to each other? (two seatings are equivalent if one is a rotation of the other.)
If John and Sam insist on sitting next to each other, there are 48 different ways we can make a round table seat six people.
What is permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.
Here,
There is no head of the tabel so the first person is just a place marker so there are really only 5 people whose positions matter.
But John and sam are tied together so thet are the equaivalent of one person.
so that is only 4 people.
4!*2 (because it could be john, sam or sam, john)
2*3*4*2 = 48 permutations
In 48 ways we can make seat 6 people at a round table if john and sam insist on sitting next to each other.
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