Step 1
Name the sides of the triangle.
Hypotenuse = 6, the side facing right angle
Opposite = ? side facing given angle
Adjacent = 5
Step 2
Apply the cosine angle formula to find the indicated angle.
\(\begin{gathered} Cos\theta\text{ = }\frac{adjacent}{\text{Hypotenuse}} \\ \cos \theta\text{ = }\frac{5}{6} \\ \cos \theta\text{ = 0.8333333333333333333333} \\ \theta\text{ = }\cos ^{-1}0.8333333333333333 \\ \theta=\text{ }33.55 \\ \theta=\text{ 34} \end{gathered}\)The measure of the indicated angle = 34
Pls help will mark brainliest fast.
Answer:
7=857074/5=15/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation: -x-10
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
create three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.
The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.
Quadratic equation:
In math, quadratic equation is the algebraic equation of the second degree in x.
The general form of quadratic equation is
ax² + bx + c = 0,
where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).
Given,
Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.
As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,
Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,
=> y = (x-4)² – 1,
=> y = -(x-4)² + 1,
=> y = -3(x-4)² + 3.
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Which of the following expressions represents the solution to the inequality statement?-x ≤ -7 / x ≥ 7 / x ≤ 7 / x ≥ -7 / x ≤ -7
Answer:
x≥7
Step-by-step explanation:
mark me brainliest please
Part of the pride of being an American comes from the fact that most people that want jobs have jobs. However, this is not always the case. Sometimes, as happened in 2008, the economy slows down, and jobs become harder to find or keep. Businesses make less money and so can keep fewer people employed. Those people who lost their jobs then have less money to spend. Because they have less money to spend, other businesses make less money, and then they, too, have to cut workers. In the United States, these cycles always end and the economy recovers, but it can take a while. People have to get creative about making money if they lose their jobs. Sometimes, they can use the skills they used at their old jobs to make money independently. For example, people don’t buy many car stereos when the economy is bad. So, car stereo stores have to layoff some of their stereo installers. If an installer has a place to work, that person can install stereos without a store. Often, this person will charge less than the store where he or she used to work. Also, the installer will get to keep all of the money he or she charged. At the store where the installer used to work, the store would have made most of the money. During hard times, it is important to be open-minded. There are always ways to make money outside of a formal job, if a person is willing to do things he or she wouldn’t normally do. A computer programmer, for example, might not be able to find work as a computer programmer. However, if the programmer is good with his or her hands, he or she may be able to find work in construction. Lawns never stop growing, and many aspects of life do not stop just because the economy has slowed down. A person who lost a job at a supermarket may be able to mow lawns for money, or do many other things. Most importantly, a person who loses a job must not give up. One’s attitude is very important in determining if he or she will be successful. A hopeful person is more likely to find a new job. Also, a hopeful person will
The sentence which supports the idea that people can use the skills they used at their old jobs to make money independently is "If an installer has a place to work, that person can install stereos without a store."
The correct answer option is option C
A summary about employees and American economy down timeThe essay is about American employees where people who actually needs a job gets a job. Although, this is not always the case especially when the economy slows down.
This slow down in the economy causes businesses to make less profit, thereby, making most people to lose their jobs. The purchasing power of the unemployed (people who lost their job) will reduce causing a decrease in the amount of money made by businesses. This is like a vicious cycle.
However, people who are skilled can still earn a living by doing other available jobs or those who are creative can create new jobs for themselves. For instance, an accountant can become a sales person in a supermarket if he or she lost their job.
In conclusion, a person who lost their job must be determined, hopeful and hard-working and must never give up, most importantly, they should never be idle because an idle mind is the devil's workshop.
Complete question:
Which sentence supports the idea that people can use the skills they used at their old jobs to make money independently?
Answer choices
A"So, car stereo stores have to layoff some of their stereo installers."
B"Often, this person will charge less than the store where he or she used to work."
C. "If an installer has a place to work, that person can install stereos without a store."
D. "At the store where the installer used to work, the store would have made most of the money."
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Saturday Sunday
Minutes
32
Miles
3
4
I
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
1. How many variables are involved in the chi-square test?
2. Which type of chi-square test is this?
A.goodness of fit B.test of independence
3. How many degrees of freedom are involved?
4. Using the chi-square critical values table is the result of this rest statistically significant?
A. Yes B.No
The result of the respective questions are:
This chi-square test only takes into consideration one variable.The type of chi-square test this is is a Goodness of Fitdf= 3NOHow many variables are involved in the chi-square test?a)
This chi-square test only takes into consideration one variable.
b)
The type of chi-square test this is, is a Goodness of Fit
To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.
The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.
c)
Parameter
n = 4
Therefore
Degrees of freedom
df= n - 1
df= 4 - 1
df= 3
d)
In conclusion
Parameters
\(\alpha = 0.05\)
df = 3
Hence
Critical value = 7.814728
Test statistic = 6.6
Test statistic < Critical value, .
NO, the result of this test is not statistically significant.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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3
Find the value of x.
34°
o
27°
Hi there! :)
\(\large\boxed{x = 122^{o}}\)
Recall that the sum of all angles in a triangle = 180°.
Therefore:
34° + 24° + x° = 180°
Combine like terms and subtract:
58° + x° = 180°
x = 180° - 58°
x = 122°
Answer:
x = 39
Step-by-step explanation:
27+34 = 61 100-61 = 39
Which experience is most likely to shape an author's perspective on
vegetarianism?
Answer:
I would say working on a farm. Farms include growing and harvesting vegetables. So they might be biased to one side of vegetarianism. Hope this helps
Answer: working on a farm
Step-by-step explanation: I did the quiz
Shape A is transformed to shape B by a rotation of 90° anti-clockwise.
Using a pair of compasses, find the centre of rotation.
The intersection of these two perpendicular bisectors is the center of rotation.
How to find the center of rotation?We need to identify a point on the shape that does not move during the transformation.
One way to do this is to identify a point on Shape A and its corresponding point on Shape B, and then find the perpendicular bisector of the line segment connecting these two points. The center of rotation will be the intersection of all such perpendicular bisectors.
Draw a line segment connecting a point on Shape A to its corresponding point on Shape B. Label the two endpoints of the line segment as A and B, respectively.
With the compasses set to any radius greater than half the length of AB, draw arcs centered at A and B that intersect at two points on either side of the line segment. Label these points as C and D, respectively.
With the same radius, draw arcs centered at C and D that intersect each other at two points. Label these points as E and F, respectively.
Draw the perpendicular bisectors of line segments AC and BD. These are the lines that pass through the midpoints of AC and BD and are perpendicular to them.
The intersection of these two perpendicular bisectors is the center of rotation.
Note that the center of rotation may not be inside the shapes themselves, but outside them. Also, you can repeat this process with different pairs of corresponding points to check if the center of rotation is consistent.
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5. El bloque de la figura se encuentra en reposo en el momento en que empiezan a actuar las fuerzas.
F₁ = 25 N
F, = 22.6 N
m = 2 kg
a. Encontrar el valor de la fuerza resultante.
b. Determina su aceleración.
C. Calcula la velocidad del bloque a los 5 segundos de movimiento.
The resultant force acting on the block is 47.6N.
The acceleration of the block will be 23.8 m/s².
The speed of the block after 5 seconds of movement is 119 m/s.
What is the resultant force?In this question, we need to make use of Newton's second law, hence:
resultant force = mass × acceleration
So, for question a. The value of the resultant force will be obtained by adding the two forces together:
resultant force = F₁ + F₂
= 25N + 22.6N
= 47.6N
b. Its acceleration will be:
acceleration = resultant force / mass
= 47.6N / 2kg
= 23.8 m/s²
c. The speed of the block after 5 seconds of movement will be:
Velocity (v) = u + at
velocity = initial velocity + acceleration x time
Based on the block was initially at rest, the initial velocity is 0.
Hence:
V = acceleration x time
= 23.8 m/s² x 5s
= 119 m/s
Hence the speed of the block after 5 seconds of movement will be: 119 m/s.
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See full text below
The block in the figure is at rest when the forces begin to act.
F₁ = 25N
F, = 22.6 N
m = 2kg
to. Find the value of the resultant force.
b. Determine its acceleration.
C. Calculate the speed of the block after 5 seconds of movement.
Find the length of m
Anybody can help please?
Answer:
m = 10
Step-by-step explanation:
We are going to use sine ratio as sine ratio is opposite to hypotenuse.
We know the value of opposite which is 5√3
The value of hypotenuse is m which is unknown.
Therefore:-
\( \displaystyle \large{ \sin(60 \degree) = \frac{5 \sqrt{3} }{m} }\)
We know that sin60° is √3/2
\( \displaystyle \large{ \frac{ \sqrt{3} }{2} = \frac{5 \sqrt{3} }{m} }\)
Multiply both sides by LCM which is 2m.
\( \displaystyle \large{ \frac{ \sqrt{3} }{2} (2m)= \frac{5 \sqrt{3} }{m} (2m)} \\ \displaystyle \large{ \sqrt{3} m=10 \sqrt{3} }\)
Divid both sides by √3 to isolate m.
\( \displaystyle \large{ \frac{ \sqrt{3}m }{ \sqrt{3} } = \frac{10 \sqrt{3} }{ \sqrt{3} } } \\ \displaystyle \large{ m = 10}\)
And we're done! The value of m is 10.
Alternative Solutions
If we do not want to use sin60°, we can use cos30°.
Focus the 30°, since for 30°, 5√3 is adjacent and m is hypotenuse.
cosine ratio is adjacent to hypotenuse.
Therefore:-
\( \displaystyle \large{ \cos(30 \degree) = \frac{5 \sqrt{3} }{m} }\)
We know that cos30° is √3/2
\( \displaystyle \large{ \frac{ \sqrt{3} }{2} = \frac{5 \sqrt{3} }{m} }\)
Notice something? Both equations when we use sin60° and cos30° are same. This is called a co-function.
Since sin60° = cos30°, both methods work.
If we do not want to use sin60°, you can use cos30°.
the function has zeros at -1 and -11, and a minimum at -5
The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).
What is graph?In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.
In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.
According to given information:
Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):
\(f(x) = a(x- (-1))(x- (-11))\)
Simplifying, we get:
\(f(x) = a(x+1)(x+11)\)
To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:
\(-5 = (-1+(-11))/2\\-5 = -6\)
This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:
\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)
We also know that the function has a minimum at this point, so we can use this to find the value of a:
\(f(-6) = -5\\-5= -5a\\\\a = 1\)
Therefore, the quadratic function that satisfies these conditions is:
\(f(x) = (x+1) (x+11)\)
We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:
x-coordinate of vertex = \((-1 +(-11))/2 =-6\)
y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)
Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.
Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?
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Consider the hospital emergency room data displayed below. Let A denote the event that a visit is to hospital 4, and let B denote the event that a visit results in LWBS (at any hospital). Determine the following probabilities. Round your answer to three decimal places (e.g. 98.765). Hospital1 2 3 4 Total LWBS 199 275 243 249 966Admitted 1274 1551 662 989 4476Not adted 3830 5164 4724 3105 16823 Total 5303 6990 5629 4343 22265(a) P(A | B) =(b) P(A' I B) =(c) P(A | B') =(d) P(B | A) =
(a) P(A | B) = P(A and B) / P(B) = 249 / 966 = 0.257
(b) P(A' I B) = P(B) - P(A and B) = 966 - 249 = 717
(c) P(A | B') = P(A and B') / P(B') = (4343 - 249) / (22265 - 966) = 3993 / 21399 = 0.187
(d) P(B | A) = P(A and B) / P(A) = 249 / 989 = 0.252
Emergency Room Probabilities Calculation(a) P(A | B) = P(A and B) / P(B) = 249 / 966 represents the probability of a visit resulting in LWBS given that the visit was to hospital 4. The numerator is the number of visits to hospital 4 that resulted in LWBS, and the denominator is the total number of visits that resulted in LWBS at any hospital.
(b) P(A' I B) = P(B) - P(A and B) represents the probability of a visit resulting in LWBS given that the visit was NOT to hospital 4. The numerator is the total number of visits that resulted in LWBS at any hospital minus the number of visits to hospital 4 that resulted in LWBS, and the denominator is not needed because it is a constant (1).
(c) P(A | B') = P(A and B') / P(B') represents the probability of a visit being to hospital 4 given that the visit did NOT result in LWBS. The numerator is the number of visits to hospital 4 that did NOT result in LWBS, and the denominator is the total number of visits that did NOT result in LWBS at any hospital.
(d) P(B | A) = P(A and B) / P(A) represents the probability of a visit resulting in LWBS given that the visit was to hospital 4. The numerator is the number of visits to hospital 4 that resulted in LWBS, and the denominator is the total number of visits to hospital 4.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
tính z=(〖(1+i)〗^10-1)/(〖(1+i)〗^10+1)
It looks like the given complex number is
z = ((1 + i )¹⁰ - 1) / ((1 + i )¹⁰ + 1)
Let w = 1 + i, so we rewrite
z = (w ¹⁰ - 1) / (w ¹⁰ + 1)
Since w * = 1 - i, we get w w * = (1 + i ) (1 - i ) = 1 - (-1) = 2. Multiply z by ((w *)¹⁰ + 1) / ((w *)¹⁰ + 1). This gives
z = (2¹⁰ - 1 + w ¹⁰ - (w *)¹⁰) / (2¹⁰ + 1 + w ¹⁰ + (w *)¹⁰)
Now, writing w in polar form yields
w = √2 exp(i π/4)
==> w ¹⁰ = (√2)¹⁰ exp(i 10π/4) = 2⁵ exp(i 5π/2) = 2⁵ i
Similarly,
w * = √2 exp(-i π/4)
==> (w *)¹⁰ = -2⁵ i
So we have
w ¹⁰ + (w *)¹⁰ = 0
w ¹⁰ - (w *)¹⁰ = 2 × 2⁵ i = 2⁶ i
Then we end up with
z = (2¹⁰ - 1 + 2⁶ i ) / (2¹⁰ + 1) = (1023 + 64i ) / 1025
Find the equation of a line with the given informatio f(-6) = 9 and f (20) = 5.
The equation of the line is with the coordinates f(-6) = 9 and f (20) = 5. is y = (-2/13)x + 117/13.
What is slope-intercept form?Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation. This form is helpful since it provides information about the line's slope and y-intercept in a clear and understandable manner. We can quickly determine the slope of the line (m) and its point of intersection with the y-axis by glancing at the equation (b). By beginning at the y-intercept and using the slope to determine other locations along the line, we can also graph the line using this method.
The slope of the line is given as:
m = (y2 - y1) / (x2 - x1)
Substitute the given coordinates:
m = (5 - 9) / (20 - (-6))
m = -4 / 26
m = -2 / 13
Using the point slope form we have:
y - y1 = m(x - x1)
Using the point (-6, 9):
y - 9 = (-2/13)(x - (-6))
y - 9 = (-2/13)x - 12/13
y = (-2/13)x + 117/13
So the equation of the line is y = (-2/13)x + 117/13.
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use the diagram below to find all missing angles
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
need help really please
Answer:
B, D
Step-by-step explanation:
The following table shows the number and type of properties available in three cities.
City
Key West
Orlando
Miami
Write a matrix that represents the number of each type of property available in Key West.
[ 3 9 13 ] is the Matrix showing all types of property available in key west .
What is matrix ?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.
Calculationgiven in the table that how many types of property are there in the table
its a simple matrix which u can directly see
its a 3 x 1 matrix ...
[3 9 13] this matrix shows the required value
hope this helps...
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Answer: [3 9 13]
Step-by-step explanation:
A fair coin is to be tossed 10 times. Let i/j, in lowest terms, be the probability that heads never occur on consecutive tosses. Find i+j.
The probability that there are 89/1024 ways in which heads never happen on consecutive tosses.
Explain the definition of probability?Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.For the stared question;
Think of the flips as either a string of [Head first Tail] or [Tail]. Let x stand for the quantity of [Head followed by Tail] and y for the quantity of [Tail]. If 2x + y = 10, then.Then, for every value of x, I completed casework:
The number of configurations of AAAAAAAAAA is bijective to x=0 and is 1.
The number of configurations of AAAAAAAAB is then bijective to x=1, which really is 9 and so forth.
These variables add up to 89, and there are 1024 different ways to flip them.
P(i + j) = 89/1024
Thus, there are 89/1024 ways in which heads never happen on consecutive tosses.
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Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answer:
Step-by-step explanation:
solve for u. -32=-4u simplify your answer as much as possible
Answer: u = 8
Step-by-step explanation:
We need to get the variable by itself first. In this case the variable is u.
u is really just mutliplied by -4, (-4 x u). In this situation, the opposite of multiplication is division. So, we need to divide -4u by -4 on each side.
-32 = -4u
-32/-4 = -4u/-4
8 = u
u = 8
Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?
Answer: A or the first graph on edge 2021
Step-by-step explanation: Just took the test good luck
Answer:
The first graph (A)
Step-by-step explanation:
24 boys, 45 girls and 281 adults are the members of a badminton club.
50 more children join the club.
The number of girls is now 18% of the total number of members.
How many of the 50 children were boys?
24+45+281+50=400
(45+n/400)×100=18
45+n=18×4=72
n=72-45=27
50-27=23.
hope it's correct
23 of the 50 children added were boys. The answer is 23 boys
Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.
Total number of people as members of badminton = 24 + 45 + 281 = 350
Percentage of girls = girls/total number x 100
% of girls = 45/350 x 100
% of girls = 12.9%
If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be
New total members = 350 + 50 = 400
Let g = new added girls from the children
Percentage of girls = girls/total number x 100
18 = (g + 45) / 400 x 100
18/100 = (g + 45) / 400
cross multiply
0.18 x 400 = g + 45
72 = g + 45
make g the subject of formula
g = 72 - 45
g = 27 girls
To get the number of boys added, take 27 away from the 50 children. That is,
The number of boys added = 50 - 27 = 23 boys
Therefore, 23 of the 50 children added were boys
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Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
THIS IS URGENT PLEASE HELP!!!!
the smith family has a 10% off coupon for dinner at their favorite restaurant. Of the bill $42.50 and they wish to leave a 15% tip, what will they pay in total?
Answer:
The answer is 44.625 .
Step-by-step explanation:
Basically, if we have a pretend number line in your head, subtract 10%. Now, you will have -10%. Add 15%, now: you will have 5%. So, do $42.50 x 5%.
How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
The answer is 44.625 payed in total to their favorite restaurant.