can someone PLEASE help me with this? i’m really struggling lol
Answer: 19.101 miles north
Step-by-step explanation:
Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.
So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.
HELPPPPP!!!! 60 POINTSSS!!!!!!!!!
Calculate the correlation coefficient for the following data, showing all work. What does it tell you about the data?
The correlation coefficient for the data is given as follows:
r = 0.53.
Hence there is an association between the variables that is positive and not strong.
What is the correlation coefficient and how to obtain it?The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:
negative: inverse relationship.positive: direct relationship.absolute value greater than 0.6: strong relationship.The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.
From the table given at the end of the answer, the points are given as follows:
(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).
Inserting these points into a calculator, the equation is given as follows:
r = 0.53.
Meaning that the relationship between the variables is positive and not strong.
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If s(x) = 2x² and f(x) = 3x, which value is equivalent to (s-f)(-7)?
O-439
O-141
O 153
O 443
The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
We have to given that,
Functions are defined as,
⇒ s (x) = 2x²
⇒ f (x) = 3x
Now, We can find the value of (s - f) (- 7) is,
⇒ (s - f) (- 7)
⇒ s (- 7) - f (- 7)
⇒ 2 (- 7)² - (3 × - 7)
⇒ 2×49 + 21
⇒ 98 + 21
⇒ 119
Therefore, The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
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Which problem can be solved by performing this multiplication?
3/4×8/9
Responses
Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
Jada rode her bike 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike. How far did Sarah ride her bike?
Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
As per option (B),
Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.
Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.
Sarah rides her bike = 3/4 × 8/9
Therefore, this problem can be solved by performing the above multiplication.
Hence, the correct answer would be an option (B).
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Find paremetric equations for the line through the point (1, 0, 1) and perpendicular to the vectors (3, 5, −2) and (2, 1, 0).
Take the cross product of the given vectors to get one that is perpendicular to both of them.
\(\langle 3, 5, -2 \rangle \times \langle 2, 1, 0 \rangle = \langle 2, -4, -7 \rangle\)
The line parallel to this vector and passing through the origin is given by the vector function
\(\vec r(t) = \langle 2, -4, -7 \rangle t\)
where \(t\in\Bbb R\), and hence parametric equations
\(\begin{cases}x(t) = 2t \\ y(t) = -4t \\ z(t) = -7t \end{cases}\)
Translate this line by the vector \(\langle1,0,1\rangle\) to make it pass through the given point. So the line we want has vector function
\(\vec r(t) = \langle 2, -4, -7 \rangle t + \langle 1, 0, 1 \rangle\)
and parametric equations
\(\boxed{\begin{cases} x(t) = 2t + 1 \\ y(t) = -4t \\ z(t) = -7t + 1 \end{cases}}\)
find sin 75 without using a calculator
The value of sin 75 without using a calculator is 1/4(√2 +√6)
Finding sin 75 without using a calculatorFrom the question, we have the following parameters that can be used in our computation:
sin(75)
This can be expanded as
sin(75) = sin(45 + 30)
Using the sine rule, we have
sin(75) = sin(45)sin(30) + cos(45)cos(30)
Evaluate the trigonometry ratios
So, we have
sin(75) = √2/2 * 1/2 + √2/2 * √3/2
So, we have
sin(75) = √2/4 + √6/4
Evaluate the sum
sin(75) = 1/4(√2 +√6)
Hence, the value is sin(75) = 1/4(√2 +√6)
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Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
Which of the following best describes a semi-regular tessellation?
A) An arrangement of repeating shapes
B) An arrangement of more than one repeating shape with no spaces or overlapping between shapes
C) An arrangement of one repeating shape with no spaces or overlapping between shapes
D) An arrangement of non-repeating shapes
An arrangement of more than one repeating shape with no spaces or overlapping between shapes is a semi-regular tessellation
Given data ,
Let the semi-regular tessellation be represented as A
Now , the value of A is
A semi-regular tessellation is a tiling of the plane by two or more regular polygons in such a way that every vertex has the same configuration of polygons in the same order
Therefore , an arrangement of more than one repeating shape with no spaces or overlapping between shapes
Hence , the semi-regular tessellation is solved
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Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
Reflections of Shapes
Graph the image of the figure using the transforma
1) reflection across the x-axis
A graph of the image of the figure after a reflection across the x-axis is shown below.
What is a reflection over the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).
This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.
By applying a reflection over or across the x-axis to triangle GLQ, we have;
(x, y) → (x, -y)
G (3, 4) → (3, -(4)) = G' (3, -4)
L (1, 2) → (1, -(2)) = L' (1, -2).
Q (4, -1) → (4, -(-1)) = Q' (4, 1)
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1/2 × 1/2
Solve pls i need help on thus
Answer:
=> 1/2 × 1/2
=> 2/2
=> 1
--------------------------
Airline travelers should be ready to be more flexible as airlines once again cancel thousands of flights this summer. The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines (seattlepi.com, July 10, 2008). Suppose the hotline is staffed for 16 hours a day. a. Calculate the average number of calls in a one-hour interval; 30-minute interval; 15-minute interval. (Round your answers to 2 decimal places.) Interval Average Number of Calls 60-minute 30-minute 15-minute b. What is the probability of exactly 6 calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the probability of no calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability d. What is the probability of at least two calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.
To calculate the average number of calls in different time intervals and the probability of different events related to these calls.
Part 1:
a. 60-minute interval average number of calls: 400/16 = 25 calls
30-minute interval average number of calls: 25/2 = 12.5 calls
15-minute interval average number of calls: 12.5/2 = 6.25 calls
Part 2:
b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:
P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686
c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:
P(0 calls) = e^-6.25 = 0.0047
d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:
P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906
Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.
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Describe the location from the origin of each point in problem 5
can someone make this for me with a compass but just different colors please
Answer:
so basically you want a drawing identical to that just with different colours?
Systems of equations with graphing
2040
3. The main engine alone on a rocket can consume the allotted
fuel supply in two-thirds the time it takes the auxiliary engine
alone. Working together they both consume their allotted fuel
in 36 seconds. Formulate an equation to represent the
situation. How long could each be fired alone?
Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine
What is the equation to represent the situationLet's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.
From the first piece of information, we know:
t₁ = (2/3)t₂
From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:
t₁ + t₂ = 36
Now we can substitute the first equation into the second:
t₁ + (2/3)t₂ = 36
Combining like terms:
t₂ = 21.6
Finally, substituting t₂ back into the first equation:
t₁ = (2/3)(21.6) = 14.4
So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.
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3. What is the measure of angle B from the right triangle below?
Answer:
angle B = 78.46°
Step-by-step explanation:
Use the cosine ratio
\(cosB=\frac{2}{10} =0.2\)
\(B=cos^{-1} (0.2)=78.46^{0}\)
Hope this helps
a school organized three different trips. 50% of the students went on 1st trip, 80% went on the second trip and 90% went on the third trip. a total of 160 students went on all the three trips. how many students are at the school
Answer:m
Step-by-step explanation:
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Jayne has 860 grams of caster sugar.
How much more caster sugar will she need to make 4 jars of jam?
What are the 3 major pathogens?
Human immunodeficiency virus (HIV), hepatitis B virus (HBV), and hepatitis C virus (HCV) are the 3 major pathogens .
What are the three primary pathogens?several pathogens. Share on Pinterest Pathogens include bacteria, viruses, and fungus.Three of the most prevalent bloodborne pathogens from which healthcare workers are at danger are the human immunodeficiency virus (HIV), hepatitis B virus (HBV), and hepatitis C virus (HCV).An agent that causes disease is called a pathogen. Bloodborne pathogens are microorganisms that can cause disease in people and have a long-lasting presence in human blood. Hepatitis B virus (HBV) and hepatitis C virus are the most prevalent and harmful pathogens that transmit through blood in hospitals (HCV).To learn more about pathogens refer to:
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if y varies inversely as x and y=3 when x=14, find x when y=6
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
\(p_1 = 0.100\)
\(p_2 = 0.200\)
\(p_3 = 0.300\)
\(p_4 = 0.400\)
The sum of the probability is
\(\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1\)
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
given fx 6(1-x) what us tge value of f (8) positive
The value of function f (8) is, - 42 which is negative.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is ,
⇒ f (x) = 6 (1 - x)
Now, WE can find the value of f (8) by substitute the value of x = 8 in above function,
⇒ f (x) = 6 (1 - x)
⇒ f (8) = 6 (1 - 8)
⇒ f (8) = 6 × - 7
⇒ f (8) = - 42
Thus, The value of function f (8) is, - 42 which is negative.
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Finding the derivative of a function at a point x gives
A.) The slope of the secant line of the function at x
B.) A line parallel to the function
C.) The slope of the tangent line of the function at x
D.)None of the above
Answer:
C.)
Step-by-step explanation:
that is exactly the definition of the derivative.
the derivative is the limit of
(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h
with h going to 0.
this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.
The area of a parallelogram is 40 square inches. The base of the parallelogram is 5 inches. What is the height of the parallelogram? Explain how you can use the formula for the area of a parallelogram to solve the problem.
The height of the parallelogram is 8 inches. By using the formula for the area of a parallelogram, we were able to find the missing value (height) by rearranging the formula and plugging in the given values.
To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is Area = Base × Height (A = b × h). In this problem, the area (A) is given as 40 square inches, and the base (b) is 5 inches. We need to find the height (h).
Using the formula, A = b × h, we can plug in the given values:
40 = 5 × h
To solve for h, we can divide both sides of the equation by 5:
40 ÷ 5 = 5 × h ÷ 5
8 = h
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This Dot Plot Shows The Height In Inches Of A Group Of Students.
1. How Many Inches Tall Was The Shortest Student?
2. What Is The Range Of The Heights?
Explain Your Answer
The height of the shortest and range of heights are 59 and 11 respectively.
From the dot plot given, the shortest student is given by the point on the x-axis of the plot where the dot is lowest. which is 59.
The range of the heights is the difference between the tallest and shortest student.
Tallest = 70
Shortest = 59
Range = Tallest - Shortest
Range = 70 - 59 = 11
Therefore, the range of the heights is 11.
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How do you write the unit rate for 1/5÷1/15
Answer:
3
Step-by-step explanation:
1/5 / 1/15 = 3
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They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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