The conditions which will construct a triangle as required to be identified are;
Side lengths 11 cm, 4 cm, 8 cm.Angles 20°, 150°, 10°.What is the Triangle inequality theorem?The triangle inequality theorem suggests that the sum of any two side lengths of a triangle must be greater than the third side and the difference of any two side lengths must be less than the third side.
Also, the sum of interior angles of a triangle is; 180°.
Hence, the conditions as required are; Angles 20°, 150°, 10° and Side lengths 11 cm, 4 cm, 8 cm.
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100 POINTS HELP PLEASE How would an accountant list a balance of negative $300 in a general ledger?
A. ~ $300
B. neg. $300
C. - $300
D. ($300)
Answer: i think for me its $10,300
Step-by-step explanation: Allowance account is deducted from Accounts Receivable to determine Net ... $300 credit balance + 10,000 additional credit = $10,300 credit balance.
Answer: D
please mark brainiest!!!!!111
study the graph to see how grasshoppers of three different body colors survive predation by blue jays in a mostly green environment. grasshopper numbers are shown before and after blue jays preyed on them. which statements are supported by the data in the table? choose three correct answers.
The statement A and statement B are supported by the data in the table. The solution has been obtained by studying the bar graph.
What is a bar graph?
Bar graphs or bar charts are visual depictions of groups of data that are made up of vertical or horizontal rectangular bars with lengths that are equal to the data's measure.
We are given a graph showing grasshopper numbers before and after blue jays preyed on them.
From the graph, we can observe that there is no change in the number of green grasshoppers. This means that blue jays did not prey them.
Also, there is a great fall in the brown grasshoppers which means that they are most visible to the blue jays.
Hence, the statement A and statement B are supported by the data in the table.
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The complete question has been attached below
What is 1 2/3 X 12?????
Answer: i think its 20
Answer:
1 2/3 x 12 = 20
Step-by-step explanation:
1 2/3 x 12 = 5/3 x 12
5x12/ 3 x 1
60/3
60/3 / 3/3
= 20
Help Help Help Help Help Help (Just yes or no) I don’t need explanation
Answer:
Step-by-step explanation:
No.
Find the measure of
Answer:
a+75+65= 180(sum of angle of triangle)
a+140=180
a=180-140
a=40
x-y=16
x-y=16
Solve using the substitution method
Step-by-step explanation:
x - y = 16 ---eq(1)
x - y = 16 ---eq(2)
From eq(1)
x - y = 16
x = 16 + y ---eq(3)
Substituting the value of eq(3) into eq(2)
(16 + y) - y = 16
16 = 16
We can't get a proper value for this pair of linear Equations
But, Since both the equations are the same, the lines formed by them will be coincident and therefore they will have infinitely many solutions
Find the measure of angle 1
Find the measure of angle 2
Answer:
Angle 1= 45°
Angle 2= 90°
Step-by-step explanation:
Angle is found when you divide 90 by 2
We do this because all edges of a square add up to 90 and this angle is split in half, which is why we divided by 2
The to find angle 2 you get 45 for the left side of the triangle, 45 on the right side add them, which will give you 90, then subtract from 180 because angles in triangle equals 180 when you do this you get 90.
The line models the cost of renting a kayak. Write an equation in slope-intercept form for the line, where x is the number of hours the kayak is rented and y is the total cost of renting the kayak.
In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.
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The width of a rectangular swimming pool is 11 meters less than length, and the perimeter is 62 meters. Find its dimensions in meters. Width=?m Length=?m
The dimensions of this rectangular swimming pool include the following:
Width = 10 meters.
Length = 21 meters.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangular shape can be calculated by using this mathematical expression;
P = 2(L + W)
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.From the information about the width, we have:
Width, W = L - 11
Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;
62 = 2(L + L - 11)
62 = 4L - 22
4L = 84
Length, L = 21 meters.
For the width, we have:
Width, W = L - 11
Width, W = 21 - 11
Width, W = 10 meters.
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Express $8.99 for 1.24 pounds of salmon as a unit rate. Show your work.
Answer:
7.25
Step-by-step explanation:
Divide 8.99 by 1.24
Evaluate the integral by changing the order of integration in an appropriate way. ∫[infinity]0∫540∫9y6e−x2+zdxdydz
The value of the integral is π(540)^2.
What is the value of the integrationWe can change the order of integration as follows:
∫^(∞)(0)∫540∫9y6e−x2+zdxdydz = ∫^(540)(0)∫^∞_0∫^√(9y^6)_(−∞)e−x^2dzdxdy
The limits of z are from −∞ to ∞, but the integrand is an even function of z, so we can simplify the integral by taking the absolute value of the integrand and multiplying it by 2:
∫^(540)(0)∫^∞_0∫^√(9y^6)(−∞)e−x^2dzdxdy = 2∫^(540)_(0)∫^∞_0∫^√(9y^6)_0 e−x^2dzdxdy
We can now evaluate the integral with respect to z:
2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−√x^2+z)/2]|^√(9y^6)_0 dxdy
where erf is the error function.
Substituting the limits of integration and simplifying, we get:
2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−3y^3/√2x)/2]dxdy
Next, we can evaluate the integral with respect to x:
2∫^(540)_(0)[√π/2(x - √2/3y^3erf(−3y^3/√2x))]|^∞_0 dy
Since the limits of integration with respect to x are from 0 to ∞, the first term in the square brackets evaluates to ∞, and the second term evaluates to √π/2. Therefore, the integral reduces to:
2∫^(540)_(0)√π/2 dy = π(540)^2
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Let f(x)=(x-1)^2
Find a domain on which f is one-to-one and non-decreasing.
Find the inverse of f restricted to this domain
The domain where fx) is 1-to-1 is x ≥1 , and the inverse there is:
f⁻¹(x) = √x + 1
How to find the domain where the function is 1-to-1?Here we have the quadratic function:
f(x) = (x - 1)^2
If we look from the vertex to the right (or the left, is the same) we will have an one to one function.
Here the vertex is at x = 1
f(1) = (1 - 1)^2 = 0
Then for x ≥1 we have an one to one function.
Noe let's find the inverse, if the inverse is f⁻¹(x), then we must have that:
f( f⁻¹(x) ) = x
Solving that:
(f⁻¹(x) - 1)^2 = x
(f⁻¹(x) - 1) = √x (here we only take the positive square root)
f⁻¹(x) = √x + 1
That is the inverse.
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in a bag there are 8 blue marbles and 10 red marbles the probability of selecting two blue marbles is 8/18 times 7/17
The probability of spinning a blue is is 1/4.
What is probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1. Probability is applied in many areas, including finance, statistics, weather forecasting, and gambling.
The probability of spinning a blued, then blue is 1/4. The numerator of this fraction is 1.
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for a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of the area is below a score of 31 and above a score of 69 g
The solution is, the required z-score is, 0.25.
What is Z-score?In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.
here, we have,
Given that :
Mean score, μ = 69
Standard deviation, σ = 4
Score, x = 64
The standardized score, Zscore can be obtained using the formular :
Zscore = (x - μ) / σ
Zscore = (69 - 68) / 4
Zscore = 1 / 4
Zscore = 0.25
Hence, The solution is, the required z-score is, 0.25.
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Compare the investment below to an investment of the same principal at the same rate compounded annually. principal: $1,000, annual interest: 3%, interest periods: 4 , number of years: 15
The investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method.
What is compounding?The process through which an investment earns returns on both the principal and the accrued interest over time is known as compounding. To put it another way, it is the reinvestment of interest income into an investment that enables the investment to increase exponentially over time.
Compounding works on the basic premise that interest earned on an investment is added to the principal amount. The interest is then calculated using the new, higher principal amount during the subsequent interest period, yielding even more interest. When the money generated is reinvested and grows over time, this cycle keeps repeating, increasing the investment's value more swiftly.
The investment given has a principal of $1,000, an annual interest rate of 3%, and interest periods of 4 per year. The investment is held for 15 years. To compare this investment to one with the same principal and annual interest rate compounded annually, we need to calculate the future value of the investment using both methods and compare the results.
Using the given investment method, we can calculate the future value as follows:
FV = P(1 + r/n)^(nt)
FV = 1000(1 + 0.03/4)^(4*15)
FV = $1,489.36
Using annual compounding, we can calculate the future value as:
FV = P(1 + r)^t
FV = 1000(1 + 0.03)^15
FV = $1,520.10
So, the investment with annual compounding yields a higher future value of $1,520.10 compared to $1,489.36 for the given investment method. This difference occurs because compounding more frequently leads to more frequent accumulation of interest, resulting in a higher final amount.
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x^6 • x • x^3 = x^6+3 = x^9
The given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]
What are the rules of exponents?
The rules of exponents are a set of mathematical rules that simplify expressions that involve powers or exponents. Some of the basic rules of exponents include:
[tex]x^m * x^n = x^{(m+n)}[/tex] (product rule)[tex](x^m)^n = x^{(m*n)}[/tex] (power of a power rule)[tex]x^0 = 1[/tex] (zero exponent rule) (negative exponent rule)The expression [tex]x^6 * x * x^3[/tex] can be simplified using the rules of exponents as follows:
[tex]x^6 * x * x^3 = x^{(6+1+3)} = x^{10}[/tex]
Therefore, the given expression is equivalent to [tex]x^{10}[/tex], not [tex]x^{6+3}[/tex] or [tex]x^9.[/tex]
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express the function graphed on the axes below as a piecewise function
The piecewise function graphed is defined as follows:
y = -2x - 12, x < -5.y = -x + 5, x > 3.How to define the piecewise function?A piecewise function is a function that has multiple definitions, depending on the input x of the function.
The function in this problem has definitions for two intervals, given as follows:
x < -5.x > 3.For x < -5, the function is decreasing with a slope of -2, as when x increases by 1, y decays by 2, hence:
y = -2x + b.
When x = -6, y = 0, hence the intercept b is given as follows:
0 = -2(-6) + b
b = -12.
Hence:
y = -2x - 12, x < -5.
For x > 3, the function is decreasing with a slope of -1, as when x increases by 1, y decays by 1, hence:
y = -x + b.
When x = 5, y = 0, hence the intercept b is given as follows:
0 = -5 + b
b = 5.
Hence:
y = -x + 5, x > 3.
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Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 20, the proportion of people with IQs above 140 is:
The proportion of people with IQs above 140 is 2.5% of a mean of 100 and standard deviation of 20.
Which proportion do you mean?Comparative magnitude or extent; ratio; the relationship between several entities or components in terms of relative size, number, or degree. the right or ideal relationship between components of a whole; symmetry or balance. If a change in one variable can be expected from a change in the other, two variables are said to be in proportion. For secondary school chemists, there are two separate sorts of proportional relationships: direct proportion and inverse proportion.
When we find the proportion , we obtain:
P(y > 140) = 1 - P(y< 140)
= 1 - P[(x - α) / β < (140 - 100) / 20]
= 1 - P(z < 2)
= 1 - 0.9772
= 0.0228
= 2.5%.
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Suppose that the number of customers that enter a bank in a hour is a poisson random varialbe, and suppose that P(x=0)=0.07, Determine the mean and variance of x
The mean and the variance of the poisson distribution are;
Mean = 2.66
Variance = 1.277
How to solve Poisson Distribution problems?The formula for the PMF of a Poisson distribution is;
p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......
Thus;
p(x = 0) = [e^(-λ) * λ^(0)]/0!
e^(-λ) = 0.07
λ = - In 0.07
λ = 2.66
That is the mean
Variance is square root of standard deviation;
Variance = √√(2.66)
Variance = 1.277
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Answer:
2.65926003693 for mean and variance.
Step-by-step explanation:
First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.
19. Solve for X.
20. solve for x
what is the answers?
thank you
Answer:
19. x = 60
20. x= 27
Step-by-step explanation:
19. Given 2 triangles are congruent
so BQ/BC = BR/BD
30/84 = x/168
84x = 30(168)
84x = 5040
x = 5040/84 = 60
20. Given 2 triangles are congruent
QS/QP = ST/PR
18/x = 10/15
10x = 18(15)
10x = 270
x = 270/10 = 27
The triangles have the measures shown in the figure. What are the values of b and c ?
Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,
A= [[-1, 0],
[ 0, 1]]
This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.
Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).
Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.
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Andrea works at two different jobs. She works no more
than 40 hours per week combined between the two jobs.
At one job, she makes $12 per hour. At her other job, she
makes $16 per hour. Each week she earns at least $460.
Andrea writes a system of inequalities to represent this
situation. One of her inequalities is shown below.
x+y≤40
What should be the other inequality in Andrea's system
of inequalities?
Answer:
Second inequality is
12x + 16y ≥ 460
We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative
Step-by-step explanation:
The other equality refers to the earnings
Let x be the hours worked in the first job
Earnings at $12 per hour = 12x
Let y be the hours worked in the second job
Earnings at $16 per hour = 16y
Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥
So second inequality is
12x + 16y ≥ 460
2y-8x=6 which of the following pairs satisfies the equations (1,8) (6,27) (-2,8) (-8,-27) (-1,-1)
Answer:
Step-by-step explanation:
To determine which pairs satisfy the equation 2y - 8x = 6, we need to find values of x and y that make the equation true. One way to do this is to solve for y in terms of x:
2y - 8x = 6
2y = 8x + 6
y = 4x + 3
Now we can substitute different values of x into this equation and see what values of y we get. For example:
When x = 0, y = 3
When x = 1, y = 7
When x = -1, y = -1
When x = 2, y = 11/2
When x = -2, y = -5
So the pairs that satisfy the equation 2y - 8x = 6 are:
(0, 3), (1, 7), (-1, -1), (2, 11/2), (-2, -5)
In each of these pairs, when we substitute the values of x and y into the equation, we get a true statement
what is the slope of this graph
The slope of this graph is equal to 0.375 or 3/8.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given data points into the slope formula, we have the following;
Slope, m = (35 - 20)/(40 - 0)
Slope, m = 15/40
Slope, m = 0.375 or 3/8.
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Elmer is on a Ferris wheel which has a diameter of 104 ft and whose center is 129 ft off the ground. Find a function hh such that h(x)h(x) is the height (in feet) of Elmer's carriage when it makes an angle of xx radians with the horizontal (measured in the usual way).
h(x)=
A function that represents the height of Elmer's carriage is,
h(x) = 52cosx + 77.
What is a cosine function?The adjacent side to hypotenuse ratio is known as the cos function. It aids in determining the triangle's side lengths regardless of the provided angle. If the angle between the adjacent side and the hypotenuse of a right triangle is, we may write this using the cosine function. Adjacent Side/Hypotenuse = Cos.
Given:
Elmer is on a Ferris wheel which has a diameter of 104 ft and whose center is 129 ft off the ground.
That means the radius of the Ferris wheel is r = 104/2 = 52 feet.
The wheel is 129 - 52 = 77 feet off the ground.
Elmer's carriage makes an angle of x radians in a horizontal way.
So, the height of Elmer's carriage is,
= rcosx + a
Here, r = 52 and a = 77
So, we get,
h(x) = 52cosx + 77.
Therefore, the function is h(x) = 52cosx + 77.
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What are the all the real zeros of the function y = 4(= + 1)^3 + 8?
The equation has no real solution.
What is Mathematical expression?Mathematical expression is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The function is,
⇒ y = 4 (x + 1)³ + 8
Now, All the zeroes are find by substitute y = 0,
⇒ y = 4 (x + 1)³ + 8
⇒ 0 = 4 (x + 1)³ + 8
⇒ 4 (x + 1)³ = - 8
⇒ (x + 1)³ = - 8
⇒ x + 1 = ∛- 8
⇒ x + 1 = ∛8i²
⇒ [tex]x + 1 = 2i^{2/3}[/tex]
⇒ [tex]x = 2i^{2/3} - 1[/tex]
Hence, It has no real solution.
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The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
Use the variables a and y to represent the number of student and adult tickets sold, respectively.
Then write the following system of inequalities -
a ≥ 10 (they must sell a minimum of 10 student tickets)
y ≥ 55 (they must sell at least 55 adult tickets)
7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)
The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.
To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.
Alternatively, solve the system of inequalities using algebra.
First, simplify the third inequality by subtracting 7a from both sides -
10y ≥ 690 - 7a
Then, divide both sides by 10 -
y ≥ (690 - 7a)/10
This inequality represents the revenue constraint in terms of the number of student tickets sold.
Now combine the revenue constraint with the other two constraints -
a ≥ 10
y ≥ 55
y ≥ (690 - 7a)/10
Use substitution to solve for a in terms of y -
y ≥ (690 - 7a)/10
10y ≥ 690 - 7a
7a ≥ 690 - 10y
a ≥ (690 - 10y)/7
To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -
(690 - 10y)/7 ≥ 10
y ≥ 55
These inequalities can be simplified -
690 - 10y ≥ 70
y ≥ 55
The first inequality can be solved for y -
-10y ≥ -620
y ≤ 62
Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -
55 ≤ y ≤ 62
Now use the expression for a in terms of y to find the corresponding values of a -
a = (690 - 10y)/7
For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -
a ≥ 10
y ≥ 55
7a + 10y ≥ 690
For example, when y = 55 -
a = (690 - 10(55))/7 = 20
7a + 10y = 7(20) + 10(55) = 690
Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.
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What does it mean to have a skewed distribution? What causes a skew in statistical terms? And how does one deal with skewed data when conducting research? Are there specific types of research questions and types of data where one would expect the data to be skewed?
Please answer in simple terms for someone that is new to statistics
We have discussed what is skewed distribution and how to deal with skewed data as mentioned below.
What is a skewed distribution?
When one tail is longer than the other, the distribution is said to be skewed. The asymmetry of a distribution is defined by skewness. These distributions are asymmetric, in contrast to the well-known normal distribution and its bell-shaped curve. Because the data are not equally distributed on both sides of the distribution peak, the two parts of the distribution are not mirror images.
A) The direction of outliers is revealed by skewness. A distribution curve's tail is longer on the right side when there is a positive skew. As a result, the distribution curve's outliers are more extreme to the right and closer to the mean to the left. Skewness simply conveys the direction of outliers; it does not convey the number of outliers.
B) Lower or upper boundaries on the data frequently cause skewed data. In other words, data with a lower bound are frequently skewed right, whereas data with an upper bound are typically skewed left.
C) One popular method for handling skewed outcome data is to logarithmically transform each observation before conducting the analysis with the resulting values.
D) It is likely that the income distribution curve you plot on a graph will be positively skewed to the right. If the majority of people earn normal earnings and a smaller proportion earn high incomes, then this would happen.
Therefore this is what skewed distribution is and the above mentioned ways are how one deals with skewed data in research.
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You have a total of 49 dimes and quarters. You have 7 more quarters than dimes. How many quarters do you have?
Answer:
Step-by-step explanation:
Answer:21 dimes and 28 quarters
Step-by-step explanation:
A company offers to pay you R0,01 for your first day of employment. R0,02 for your second day. R0,04 for your third day. R0,08 for your fourth day, and so forth. If this pattern continues, calculate your total earnings in the first month (Assaune 30 days in the month)
The total earnings for the first month are given as follows:
R370,256.
How to obtain the total earnings?The series in this problem is a geometric sequence, as there is a common ratio between consecutive terms.
Each day, the amount paid to you by the company is doubled, hence the common ratio of the geometric sequence is given as follows:
r = 2.
The amount paid on the first day is given as follows:
a(1) = 0.01.
The sum of the first n terms of a geometric sequence is given as follows:
S = [a1(1 - r^n)]/(1 - r).
Hence the sum for the first 30 days is given as follows:
S = [0.01(1 - 2^30)]/(1 - 30)
S = 370,256.
More can be learned about geometric sequences at brainly.com/question/24643676
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