Answer:
i am just standing here
Step-by-step explanation:
I need some help. can someone help please.
A.
when you graph it that's the correct one.
if 2tanx-1=0 and cos<0 solve √5cosx+4/sin2x
From the equation 2tanx - 1 = 0, we can find the value of tangent of x as follows:
2tanx - 1 = 0
2tanx = 1
tanx = 1/2
x = arctan(1/2) + nπ, where n is an integer
Now we need to solve √5cosx+4/sin2x, given that cos(x) < 0.
Since cos(x) < 0 and tan(x) = sin(x)/cos(x) = 1/2, we can use the Pythagorean identity to find sin(x):
sin^2(x) + cos^2(x) = 1
sin^2(x) + (-cos(x))^2 = 1
sin^2(x) = 1 - cos^2(x)
sin(x) = -√(1 - cos^2(x))
Substituting this into the expression we want to evaluate:
√5cos(x) + 4/sin^2(x) = √5cos(x) + 4/(-√(1 - cos^2(x)))^2
= √5cos(x) + 4/(1 - cos^2(x))
To simplify this expression further, we can use the identity sec^2(x) = 1 + tan^2(x) to find cos^2(x):
sec^2(x) = 1 + tan^2(x)
1/cos^2(x) = 1 + (1/2)^2
1/cos^2(x) = 5/4
cos^2(x) = 4/5
cos(x) = ±2/√5
Since cos(x) is negative, we have cos(x) = -2/√5.
Substituting this value into the expression we want to evaluate:
√5cos(x) + 4/(1 - cos^2(x)) = √5(-2/√5) + 4/(1 - (-2/√5)^2)
= -2 + 4/(1 - 4/5)
= -2 + 20
= 18
Therefore, the solution to √5cos(x) + 4/sin^2(x) given 2tan(x) - 1 = 0 and cos(x) < 0 is 18.
Which facts could be applied to simplify this expression? Check all that apply. 5 x + 3 y + (negative x) + 6 z To add like terms, add the coefficients, not the variables. First add 5x + x. The simplified expression is 4 x + 3 y + 6 z. Only combine terms which contain the same variable. The simplified expression is 5 x + 3 y + 6 z. Mark this and return
Answer:
b,c,d
Step-by-step explanation:
We have to simplify the given expression given (5x + 3y + (-x) + 6z).
We will use the process as given below.
1) We will identify the like terms, we have to add or subtract.
2) Like terms are those, which have the same variable of the same degree.
3) We get the simplified expression by combining the same terms.
5x + 3y + (-x) + 6z = 4x + 3y + 6z
Therefore, Options B, C and D will be the correct options.
# An aeroplane flies a distance of 450km in 3/4h. At what speed does it travel?
If an airplane flies a total distance of 450km in 3/4 hours, the plane is traveling at an average speed of 600 kilometers per hour.
What is the average speed?The average speed refers to the quotient of the total distance divided by the total time used by the airplane to cover the distance.
Based on the distance, time, and speed equation, we can state that there exists an equation relationship, which is given as distance = time x speed.
The total distance flown by airplane = 450 kilometers
The total time used by the airplane to travel the distance = ³/₄ hours or 0.75 hours
Thus, the average speed of the airplane is 600 kilometers per hour (450 ÷³/₄).
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Write an explicit formula for a n a n , the n th n th term of the sequence 3 , − 15 , 75 , .
To find the explicit formula for a n , we need to first identify the pattern in the sequence. We can see that each term is being multiplied by -5 to get the next term. So, we have a common ratio of -5. So, the 4th term in the sequence is -375.
To find the first term, we can substitute n = 1 into the formula and get:
a 1 = 3
Now, we can use the formula for the nth term of a geometric sequence to find a n :
a n = a 1 * r^(n-1)
where a 1 is the first term and r is the common ratio.
In this case, a 1 = 3 and r = -5, so we have:
a n = 3 * (-5)^(n-1)
Therefore, the explicit formula for the nth term of the sequence 3, -15, 75, ... is a n = 3 * (-5)^(n-1).
The explicit formula for a n is a n = 3 * (-5)^(n-1). This formula gives us the nth term of the sequence 3, -15, 75, ... based on the value of n. It is derived using the formula for the nth term of a geometric sequence, where the first term is 3 and the common ratio is -5. The formula can be used to find any term in the sequence, given its position.
Hi! I'm happy to help you with your sequence question. The given sequence is 3, -15, 75, ... . To find an explicit formula for a_n, the nth term, let's examine the pattern in the sequence.
Notice that each term is obtained by multiplying the previous term by -5:
- 3 * (-5) = -15
- -15 * (-5) = 75
With this pattern, we can write an explicit formula for the nth term of the sequence as:
a_n = 3 * (-5)^(n-1)
This formula will give you the nth term by simply plugging in the value of n. For example, if you want to find the 4th term, just replace n with 4:
a_4 = 3 * (-5)^(4-1) = 3 * (-5)^3 = -375
So, the 4th term in the sequence is -375.
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What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Answer:
x > 5
Step-by-step explanation:
In order to solve you need the variable alone.
x + (-2) > 3
x - 2 > 3
+2. +2
x > 5
Answer:
Add 2 to both sides.
Step-by-step explanation:
How many coins stacked up will be 5 feet
the amount of coins stacked t frets is 10
For the figure shown find the value of the variable in the measures of the angles.
(it's a 4 part question)
so solve for x, then P, then Q, and finally R
\(\\ \rm\longmapsto 2x+15+2x-20+x=180\)
\(\\ \rm\longmapsto 5x-5=180\)
\(\\ \rm\longmapsto 5x=180+5=185\)
\(\\ \rm\longmapsto x=\dfrac{185}{5}=37\)
Now
<P=2x-20=2(37)-20=74-20=54<Q=2x+15=2(37+15=74+15=89Answer:
We know that, the sum of all the angles of a triangle is 180°.
According to the above problem,
\((2x - 20) + (2x + 15) + x = 180 \\ 2x - 20 + 2x + 15 + x = 180 \\ 5x - 5 = 180 \\ 5x = 180 + 5 \\ 5x = 185 \\ x = \frac{185}{5} \\ \boxed{x = 37}\)
Therefore, the value of x is 37.
→ P = (2x - 20)° = {2 (37) - 20}° = 54°
→ Q = (2x + 15)° = {2 (37) + 15}° = 89°
→ R = (x)° = 37°
7.81 for the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.
The maximum absolute values of the shear and bending moments are
Cy = 1800 lbs
Ay = 4800 lbs
Max absolute BM = 14400 lbs-feet
Given,
Draw the shear and bending moment diagrams for the beam and the indicated loading, and then figure out the highest absolute values of the shear and bending moment.
(a) The shears and bending-moment diagrams,
Ay + Cy = 800 * 9 - 600
Ay + Cy = 6600 lbs
Ay
∑Ma = 0
Cy * 15 + 600 * 9 = 800 * 9²/2
Cy = 1800 lbs
Ay = 4800 lbs
(b) Determine the maximum absolute values of the shear and bending moment,
Map absolute B.M:
Map positive B.M occurs, when SF = 0 is at 'x'
4800 - 800x = 0
x = 6ft
Positive map = 4800 * 6 = 800 * 6²/2
Max absolute BM = 14400 lbs-feet and it developed at 6ft from support A.
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37-40 Each series satisfies the hypotheses of the alternat- ing series test. Find a value of n for which the nth partial sum is ensured to approximate the sum of the series to the stated accuracy. 38. error < 0.00001
The series satisfies the hypotheses of the alternating series test. By using the alternating series test, we can find the value of n for which the nth partial sum of the given series approximates the sum of the series to the desired accuracy. This approach is useful when we need to estimate the sum of a series but cannot evaluate it directly.
To find the value of n for which the nth partial sum of the given series approximates the sum of the series with an error less than 0.00001, we can use the alternating series test.
This test states that if a series satisfies the hypotheses of the alternating series test, then the error between the nth partial sum and the actual sum of the series is less than or equal to the absolute value of the (n+1)th term in the series.
For the given series, the nth term is\([(-1)^{n+1}]/n!,\) which is decreasing and approaching zero as n increases.
Therefore, the series satisfies the hypotheses of the alternating series test. Now, to find the value of n for which the error is less than 0.00001, we need to find the smallest value of n such that the absolute value of the (n+1)th term is less than 0.00001.
We can use a calculator or a computer program to find that value, which is n = 11. This means that the 11th partial sum of the series approximates the sum of the series with an error of less than 0.00001.
In summary, by using the alternating series test, we can find the value of n for which the nth partial sum of the given series approximates the sum of the series to the desired accuracy. This approach is useful when we need to estimate the sum of a series but cannot evaluate it directly.
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Complete Question:
Each series satisfies the hypotheses of the alternating series test. Find a value of n for which the nth partial sum is ensured to approximate the sum of the series to the stated accuracy.
\(\sum_{k=1}^\infty \frac{(-1)^{k+1}}{k!} \: : |error| < 0.00001\)
Need help on this question as well
The required arc length of sector VW is 8\(\pi\).
Given that, in a circle U, radius UV = 9 and central angle of sector m∠VUW = 160°.
To find the arc length of sector VW, we can use the formula:
Arc length = (central angle / 360) x circumference of the circle.
First, find the circumference of the circle by the formula for the circumference of a circle is given by:
Circumference = 2 x \(\pi\) x radius.
Circumference = 2 x \(\pi\) x 9 = 18π.
Now, let's find the arc length of sector VW using the central angle of 160 degrees:
Arc length = (160/360) x 18π
Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).
Therefore, the arc length of sector VW is 8\(\pi\).
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The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?
Answer:
13 and 8
Step-by-step explanation:
a-b = 5
==> a = b+5
a^2 + b^2 = 233
plug in a = b+5: (b+5)^2 + b^2 = 233
b^ + 10b + 25 + b^2 = 233
2b^2 + 10b -208 = 0
use the quadratic formula:
b = 8 or -13 (-13 doesn't work cuz it asks for positive numbers)
so if b = 8, then a = 5+b = 5+8 = 13
At 3:00 AM, the temperature was 44 degrees. By 7:00 AM, the temperature had risen to 60 degrees. What was the average change in temperature in degrees per hour?
You spend 3 2/5 hours hiking and an additional 1/2 hour to rest.
How much time did you spend hiking and resting?
Answer:
3.9 hours
Step-by-step explanation:
3 2/5 + 1/2 = 39/10
3 9/10 =
3.9 hours
Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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one of the acute angles in a right triangle has a measure of 34.6 degrees. What is the measure of the other acute angle
Answer:
55.4
Step-by-step explanation:
The sum of the angles of a triangle is 180
If we have a right triangle, one angle is 90
The other two angles must add to 90 degrees
Let the unknown angle be x
34.6 + x = 90
Subtract 34.6 from each side
34.6+x-34.6 = 90-34.6
x =55.4
which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a solution?
To find the area of a region under the standard normal curve, the following information would typically be provided in the question:
1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."
2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").
3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.
By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.
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Find the nth term of the sequence 7,1,-5,-11
Answer:
an = 7 - 6(n-1)
Step-by-step explanation:
Each term is 6 less than the previous
an = 7 - 6(n-1)
answer:
6
step-by-step explanation:
hopefully i am reading this question right but the differance is -6 and it is arithmetic
hopes this helps! :)
In one-half hour, a car traveled 20 km. Find the average velocity in km/min. (Round to the nearest
hundredth)
Step-by-step explanation:
\(s = 20km \\ t = 30min\)
\(v = \frac{s}{t} \\ v = \frac{2}{3} \)
\(v = 0.67\)
\(v = 0\)
developing countries are providing new markets for companies that can provide them with needed: multiple select question. managers goods services technology
Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.
Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.
Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.
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Find the equation of the line that passes through (2,-1) and has a slope of -4
Answer:
D) y= -4x+7
Step-by-step explanation:
slope intercept form is y=mx+b
Where m is the slope and b is the y intercept
Let’s fill in what we know
y=-4x+b
And now to find b we fill in the coordinates given
-1=-4(2)+b
-1=-8+b
+8. +8
7=b
Hopes this helps please mark brainliest
Answer:
d. y = -4x + 7
Step-by-step explanation:
Think of the formula: y = mx + b. The m represents the slope. In this case, the slope is -4, meaning that m is -4. So knowing this, we can eliminate a and b because their slopes are 4 and 7. Now, we just need to plug in the coordinates in the equations. The right side of the equation must equal the left side. For c, it would look like this: -1 = -4(2) -7. In that case, -4 × 2 is -8 and that - 7 is -15. So, that equation is not true because it doesn't equal -1 . So, d is what we are left with (-1 = -4(2) + 1). Hope this helps!
A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1850 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 3250 pounds in a northerly direction. What is the magnitude of the resultant force upon the piling, to the nearest ten pounds?.
The magnitude of the resultant force upon the piling is 3710 pounds.
To find the resultant force, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the forces exerted by the bulldozers form the two sides of a right triangle.
The force exerted by the first bulldozer in the westerly direction is 1850 pounds, and the force exerted by the second bulldozer in the northerly direction is 3250 pounds.
Using the Pythagorean theorem, we can calculate the magnitude of the resultant force as follows:
Resultant force =\(√(1850^2 + 3250^2)= √(3422500 + 10562500)= √(13985000)≈ 3710 pounds.\)
Therefore, the magnitude of the resultant force upon the piling is approximately 3710 pounds.
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(6.3x10^0)-(5x10^-2)
and I also need help with
(7x10^-3)+(8x10^-1)
if you can please answer with no sketchy link lol
Here is a pyramid with a base that is a pentagon with all sides the same length.
a. Describe the cross section that will result if the pyramid is sliced:
horizontally (parallel to the base)
vertically through the top vertex (perpendicular to the base).
b. Describe another way you could slice the pyramid that would result in a different cross section.
a) If sliced horizontally, the cross section will be a regular pentagon. If sliced vertically, the cross section will be an isosceles triangle. b) By cutting it diagonally from one corner of the pentagon base to the opposite corner.
a. If the pyramid is sliced horizontally, parallel to the base, the resulting cross section will be a regular pentagon. The shape will have the same number of sides as the base of the pyramid, and each side will have the same length.
If the pyramid is sliced vertically through the top vertex, perpendicular to the base, the resulting cross section will be an isosceles triangle. The triangle will have one side that is the height of the pyramid and two sides that are equal in length. The base of the triangle will be the same as the side length of the pentagon base of the pyramid.
b. Another way to slice the pyramid that would result in a different cross section is by cutting it diagonally from one corner of the pentagon base to the opposite corner. This diagonal slice would create a cross section that is a trapezoid. The trapezoid will have one pair of parallel sides (the bases), and the other two sides will be slanted. The length of the slanted sides will depend on the angle and position of the slice relative to the base.
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jessa drew a circle with a circumference of 18.84 inches. which of these dimensions could be the diameter, in inches jessa used to draw her circle? use 3.14 for pi.
The dimensions of diameter of the circle is 6 inches which Jessa used to draw her circle.
The circumference of a circle is stated by the formula -
C = 2πr, where r refers to radius of the circle. Calculating radius now.
18.84 = 2πr
Rewriting the equation for radius of circle
r = 18.84/2×3.14
Performing division on Right Hand Side of the equation
r = 3 inches
As known, diameter is double the radius. Hence, diameter of the circle = 2×3
Performing multiplication on Right Hand Side of the equation
Diameter of the circle = 6 inches
Thus, the correct answer is A 6.
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The complete question is -
9.Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi.
A 6
B 15.7
C 3
D 9.42
Marcus had a rope that was 75 filet long. He cut off part of the rope. After
that, the rope was 56 feet long.
If f = the number of feet Marcus cut off the rope, which mathematical
sentence expresses the information above?
A. 56 - f = 75
B. 75 - f= 56
C. 75+ f = 56
D. f- 75 = 56
Answer:
The answer is B. 75 - f = 56
Step-by-step explanation:
Find the formula for the n^th term of the sequence whose first few terms are -3,0,5,12,21,32,
Answer:
77 is the ninth term.
Step-by-step explanation:
You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.
is the point (20, 24) on line L
Answer:
There are no pictures to explain what L is
Step-by-step explanation:
A sampling distribution is Group of answer choices the probability distribution of a statistic in a given sample. the probability distribution of a parameter in a given population. the probability distribution of a statistic for all random samples of n observations from a population. the probability distribution of a parameter for all random samples of n observations from a population.
A sampling distribution is the probability distribution of a statistic for all random samples of n observations from a population. The term "sampling distribution" refers to the probability distribution of a statistic, such as the mean or standard deviation, that arises from random sampling of a fixed-sized sample from a population.
It is essential to understand this concept because it allows us to make inferences about the population parameter using information from the sample statistic. The standard deviation of the sampling distribution is known as the standard error of the statistic, and it measures how much the statistic varies across all possible samples of the same size from the population. In short, the sampling distribution is a theoretical distribution that helps us to understand the properties of the statistic and make inferences about the population parameter based on sample data.
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Let A and B be two disjoint events such that P(A)=0.06 and P(B)=0.48
What is P(A or B)?
P(A or B) = 0.54
The stated question relates to the topic probability .
Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1 .
As stated in the question , A and B are disjoint events . To understand in simple words disjoint events are also known as mutually exclusive events.
Disjoint events are events that never occur at the same time . There is no overlap between event A and event B .
According to the question ,
P(A) representing probability of event A is 0.06 and
P(B) representing probability of event B is 0.48
The question asked is P(A or B) which represents probability of event A or event B .
P(A or B) = P(A) + P(B) - P(A ∩ B)
P(A ∩ B) = 0 (Since disjoint events)
P(A or B) = 0.06 + 0.48
P(A or B) = 0.54
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