Answer: 40
Step-by-step explanation:
The angles in a triangle are equal to 180
We can use this equation to find x
180 = 20 + 3x + x
Then we solve
160 = 4x
x = 40
Answer:
180 = 20 + 3x + x
X = 40
Step-by-step explanation:
180 = 20 + 3x + x
Combine like terms
180 = 20 + 4x
Subtract 20 on both sides
160 = 4x
Divide both sides by 4
40 = x
Is this statement true or false 16% of 250 is equal to 250% of 16
should base area calculations for 3D shapes be in units squared, similar to surface area calculations? or would they be cubed?
The base area calculations for 3D shapes should be in units squared, similar to surface area calculations.
When calculating the area of a base for a 3D shape, we are essentially finding the area of a 2D shape, which is measured in units squared. This is the same as the surface area of the 3D shape, which is also measured in units squared.
However, when we calculate the volume of a 3D shape, we are finding the space that the shape occupies, which is measured in units cubed. It is important to keep these measurements separate in order to avoid confusion and ensure accuracy in calculations.
Therefore, base area calculations for 3D shapes should be in units squared.
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Compute the value: 5+ 6+ 7+ 8+9+...+200 52. (4) Consider the sequence (bi) defined as follows: b₁-4, and b=3b4-1 for k>1. Find the term bio.
The calculated value of the tenth term, b₁₀ of the sequence is 78732
How to calculate the tenth term, b₁₀ of the sequenceFrom the question, we have the following parameters that can be used in our computation:
b₁ = -4
bₙ = 3bₙ₋₁
The above means that
We multiply the current term by 4 to get the next term
So, we have
b₂ = 3 * 4 = 12
b₃ = 3 * 12 = 36
b₄ = 3 * 36 = 108
b₅ = 3 * 108 = 324
b₆ = 3 * 324 = 972
b₇ = 3 * 972 = 2916
b₈ = 3 * 2916 = 8748
b₉ = 3 * 8748 = 26244
b₁₀ = 3 * 26244 = 78732
Hence, the tenth term, b₁₀ of the sequence is 78732
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Before jude broke his right arm, he was able to type 19 words per minute on his phone. After he broke his arm, he had to use his left hand for a while, and he could only type 12 words per minute. What is the difference between the number of words he could type in 5 minutes before and after he broke his arm
30 words in 5 minutes following the arm break.
What is unitary method?This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.
We typically utilize this technique for math calculations.
This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc
According to our question-
45 words in five minutes before to breaking his arm
9*5=45 6*5=30
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PLEAZE HELPP 50 POINTS If the function f(x) =-3x3 +7x represents the movement of a whale in meters what is the average rate of change of the whale for x=1 and X=3 seconds label your answer
Answer:
The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:
f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4
f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6
The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.
To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."
the residual plots from two different sets of bivariate data are graphed below. explain, using evidence from graph a and graph b which graph indicates
According to the evidence from graph a and graph b, graph a indicates that the model for the data was a good fit because it is a random.
Hence, the correct option is B.
Based on graph a, the residual plot shows a random scattering of points around the horizontal line at y=0. This indicates that the residuals (the differences between the observed and predicted values) are distributed randomly and do not show any clear pattern. This suggests that the data points are evenly distributed around the regression line, indicating a good fit for a linear regression model.
On the other hand, graph b shows a residual plot with a clear pattern or trend. The residuals are not randomly scattered, but instead show a curved pattern or a fan-like shape. This indicates that the model used to fit the data may not be appropriate, as it is not capturing the underlying relationship between the variables accurately.
Hence, the correct option is B.
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-- The given question is incomplete, the complete question is
"The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph a and graph b which graph indicates that the model for the data was a good fit and what is the reason?
A. Graph A because it is symmetrical
B. Graph A because it is random
C. Graph B because there is a pattern
D. Graph B because it is symmetrical" --
Hhjjfjfjdjdjdjdjjdnsnsnsn
Answer:
thanks for the point
have a great day
Answer:
hey ! my name is maniya k.. i am from Nepal
find the measures of the numbered angles in rhombus ABCD
Answer:
see explanation
Step-by-step explanation:
the diagonals of a rhombus are perpendicular to each other, then
∠ 1 = 90°
AB and CD are parallel ( opposite sides of a rhombus are parallel )
∠ 2 and 51° are alternate angles and are congruent , then
∠ 2 = 51°
the diagonals bisect the angles , then
∠ 3 = ∠ 2 = 51°
the sum of the 3 angles , in the triangle with ∠ 4 sum to 180°
∠ 1 + ∠ 3 + ∠ 4 = 180°
90° + 51° + ∠ 4 = 180°
141° + ∠ 4 = 180° ( subtract 141° from both sides )
∠ 4 = 39°
then
∠ 1 = 90° , ∠ 2 = 51° , ∠ 3 = 51° , ∠ 4 = 39°
Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?
Answer:
17
Step-by-step explanation:
If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17
Now Misaki pulls out a marble: Probability of red marble= 3/17
probability of blue marble= 4/17
Answer:17
Step-by-step explanation:
Evaluate −c2z+cz+c when c=−1.
Answer:
-2z-1
Step-by-step explanation:
What’s 20-20? I’ll give brainliest who is the 1st to answer.
Answer:
20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol
What is the value of x on a triangle with sides 13cm and 5cm?
Answer:
12
Step-by-step explanation:
what is the value of x? you ask.
use the pythogoras Theorem =
C^2 = a^2 + b^2
169= 25 + x^2
144 = x^2
√144 = the answer is 12
Find the area of Rectangle 2 if its length is 1.28 x 10^7 m and its width is 8 x 10^3 m. Write the answer in Scientific Notation.
Answer:
1.024E11
Step-by-step explanation:
(1.28 x 10^7) x (8 x 10^3) = 102400000000In scientific notation: 1.024E11what is the area of the figure below
Answer:
58 in ^2
Step-by-step explanation:
Triangle on top area = 1/2 base * height = 1/2 * 6 * 3 = 9 in^2
Triangle on bottom = 1/2 base * height = 1/2 * 8 * 6 = 24 in^2
For trapezoid in the middle area = 1/2 ( 4+6)*5 = 25 in^2
Sum = 58 in^2
In the diagram, figure PMNO is the image of figure ABCD.
What is the name of the image of BA?
Option 1
Option 2
Option 3
Option 4
Answer:
1
Step-by-step explanation:
becuse of difet figer and thigs look it up you tube help with that kind of math i did t last year
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80. How many more cookies will Jessica have Martha? If x represents the number of cookies Jessica started with, complete the statements below.
Answer:
x^2 - 30 + 224 ≥ 0
the amount of cookies Jessica has more than Martha is at least two
Step-by-step explanation:
J + M = 30
x - 12 < 80
Find the values of x and y that ensures the quadrilateral is a parallelogram
The values of [x] and [y] for which the quadrilateral will be a parallelogram are [x] = 13 and [y] = 12.
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Given is a parallelogram with its sides.
We know that the opposite sides of a parallelogram are of equal length. Therefore, we will equate them as follows -
2x + 3 = 29
2x = 26
x = 13
and
2y = 24
y = 12
Therefore, the values of [x] and [y] for which the quadrilateral will be a parallelogram are [x] = 13 and [y] = 12.
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[Complete question requires an image. The image is attached with the answer.]
marla earns an annual salary of $28,000 at her new job. She received a 3% salary increase every year. Find Marla’s total earnings over the course of her first five years working at her job.
ANSWER:
$148,655.8
STEP-BY-STEP EXPLANATION:
Given:
Original salary = $28,000
Increase per year = 3%
The sum of all the earnings would be the sum of the original salary, the salary after 1 year, the salary after 2 years, the salary after 3 years and the salary after 4 years.
The salary in each year is calculated by multiplying the original salary by the increase raised after n years, just like this:
\(\begin{gathered} s_n=28000\cdot(1+3\%)^n_{} \\ s_n=28000\cdot(1+0.03)^n_{} \\ s_n=28000\cdot(1.03)^n_{} \end{gathered}\)Therefore, the total earnings would be as follows:
\(\begin{gathered} t=28000+28000\cdot(1.03)^1+28000\cdot(1.03)^2+28000\cdot(1.03)^3+28000\cdot(1.03)^4 \\ t=28000+28840+29705.2+30596.4+31514.2 \\ t=148655.8 \end{gathered}\)Therefore, the earnings in the first 5 years of MARla is $148,655.8
FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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Can someone please help?
134
-
120
would equal:
14.
can someone help me with this
Answer: Slope intercept from is y= 4/13x-5/13
Step-by-step explanation:
I’m confused need help
Answer:
i cant see it
Step-by-step explanation:
cant see it
differentiate the function. z(y) = a y6 bey z'(y) = 6a y7 bey
The differentiation of the function z(y) = a y^6 bey with respect to y is given by z'(y) = 6a y^7 bey.
To differentiate z(y) with respect to y, we can apply the power rule and the chain rule. The power rule states that when differentiating a function of the form x^n, the derivative is nx^(n-1). In this case, we have y^6, so the derivative of y^6 with respect to y is 6y^(6-1) = 6y^5.
Next, we have the term bey. The derivative of e^x with respect to x is simply e^x. However, since we are differentiating with respect to y and not x, we need to apply the chain rule. The chain rule states that when we differentiate a composite function, we multiply the derivative of the outer function by the derivative of the inner function. In this case, the outer function is e^x and the inner function is by. So, the derivative of bey with respect to y is (d/dy)(e^by) = e^by (d/dy)(by) = e^by * b = bey.
Combining the results from the power rule and the chain rule, we get z'(y) = 6a y^7 bey, which is the derivative of the function z(y) = a y^6 bey with respect to y.
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How many solutions does each system of equations have?
Part A: {3x−y=13y+3=9x
Part B: {y+4x=7−2y−4=8x
Part C: {4y=3x+48y−6x=8
Each system of equations given below has a unique solution 3x−y=13y+3=9x, y+4x=7−2y−4=8x, 4y=3x+48y−6x=8.
What are equations?A mathematical equation can be defined in a variety of ways. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." Mathematical variables are used in even the most fundamental and straightforward algebraic equations.
Given that;
The system of equations is,
⇒ 3x - y = 13
⇒ y + 3 = 9x
Now,
Since, The system of equation is,
⇒ 3x - y = 13
⇒ y + 3 = 9x
It can be written as,
⇒ 3x - y = 13
⇒ 9x - y = 3
Clearly, We have;
⇒ 3/9 = - 1 / - 1
⇒ 1/3 ≠ 1
Thus, It has a Unique solution.
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The water-supply manager for dallas needs to supply the city with at least 19 million gallons of potable water per day. the supply may be drawn from the local reservoir or from a pipeline to an adjacent town. the local reservoir has a maximum daily yield of 20 million gallons of potable water, and the pipeline has a maximum daily yield of 13 million gallons. by contract, the pipeline is required to supply a minimum of 7 million gallons per day. if the cost for 1 million gallons of reservoir water is $290 and the cost for 1 million gallons of pipeline water is $365, how much water should the manager get from each source to minimize daily water costs for the city? what is the minimum daily water cost?
So, the manager should get all the required water from the local reservoir, resulting in a minimum daily water cost of $5510.
To minimize the daily water costs for the city, the water-supply manager needs to determine how much water to get from each source while meeting the minimum requirement of 19 million gallons per day. Let's denote the amount of water drawn from the local reservoir as R (in million gallons) and the amount of water drawn from the pipeline as P (in million gallons).
Given the constraints:
R ≤ 20 (maximum daily yield of the reservoir)
P ≥ 7 (minimum daily yield of the pipeline)
R + P ≥ 19 (minimum requirement of 19 million gallons)
We need to find the values of R and P that satisfy these constraints while minimizing the daily water costs.
Let's calculate the costs for each source:
Cost of 1 million gallons of reservoir water = $290
Cost of 1 million gallons of pipeline water = $365
The total daily cost can be expressed as:
Total Cost = (Cost of reservoir water per million gallons) * R + (Cost of pipeline water per million gallons) * P
To minimize the total cost, we can use linear programming techniques or analyze the possible combinations. In this case, since the costs per million gallons are provided, we can directly compare the costs and evaluate the options.
Let's consider a few scenarios:
If all the water (19 million gallons) is drawn from the reservoir:
Total Cost = (Cost of reservoir water per million gallons) * 19 = $290 * 19
If all the water (19 million gallons) is drawn from the pipeline:
Total Cost = (Cost of pipeline water per million gallons) * 19 = $365 * 19
If some water is drawn from the reservoir and the remaining from the pipeline: Since the minimum requirement is 19 million gallons, the pipeline must supply at least 19 - 20 = -1 million gallons, which is not possible. Thus, this scenario is not valid. Therefore, to minimize the daily water costs, the manager should draw all 19 million gallons of water from the local reservoir. The minimum daily water cost would be:
Minimum Daily Water Cost = (Cost of reservoir water per million gallons) * 19 = $290 * 19 = $5510.
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Secondary School work, find the height of capsule B
Write the equation for Chelsea's graph in
slope-intercept form. Make sure the slope is
written in simplest form.
Answer:
\(y=-4x+16\).
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
\(Slope=\dfrac{y_2-y_1}{x_2-x_1}\)
\(Slope=\dfrac{8-24}{2-(-2)}\)
\(Slope=\dfrac{-16}{4}\)
\(Slope=-4\)
Slope intercept form of a line is
\(y=mx+b\)
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
\(y=(-4)x+(16)\)
\(y=-4x+16\)
Therefore, the required equation is \(y=-4x+16\).
Prove that: APTS ||| ARTQ
APTS and ARTQ are not parallel leads to a contradiction. APTS and ARTQ must be parallel lines.
To prove that APTS and ARTQ are parallel lines, we need to show that the corresponding angles formed by the two lines are equal.
Let's denote the angles as follows:
Angle APT (formed by APTS) = Angle ARQ (formed by ARTQ) (Corresponding angles)
Angle AST (formed by APTS) = Angle ATQ (formed by ARTQ) (Alternate interior angles)
Angle PTS (formed by APTS) = Angle RTQ (formed by ARTQ) (Alternate interior angles)
Now, let's assume that APTS and ARTQ are not parallel. If they are not parallel, then the sum of angles 1 and 2 should be equal to 180 degrees (since they form a straight line). However, this contradicts the fact that angles 1 and 2 are equal, as stated in statement 1.
Therefore, our assumption that APTS and ARTQ are not parallel leads to a contradiction. Hence, APTS and ARTQ must be parallel lines.
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Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
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Assume that women's heights are normally distributed with a mean given by = 62.5 in, and a standard deviation given by a = 2.1 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) If 33 women are randomly selected, find the probability that they have a mean height less than 63 in.
(a) The probability is approximately __________ (Round to four decimal places as needed.)
(b) The probability is approximately_______________
(a) The probability is approximately 0.6915. (Round to four decimal places as needed.)
(b) The probability is approximately 0.9999.
(a) The probability that a randomly selected woman's height is less than 63 inches is approximately 0.6915.
To find this probability, we can use the standard normal distribution and z-scores. The z-score is calculated using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation. In this case, x = 63 inches, μ = 62.5 inches, and σ = 2.1 inches.
Substituting these values into the formula, we get z = (63 - 62.5) / 2.1 = 0.2381. To find the probability corresponding to this z-score, we can look it up in the standard normal distribution table or use a statistical calculator. The probability associated with a z-score of 0.2381 is approximately 0.5915.
However, since we want to find the probability that the height is less than 63 inches, we need to find the area to the left of the z-score. Since the standard normal distribution is symmetrical, the area to the left of a positive z-score is equal to 1 minus the area to the right. Therefore, the probability that a randomly selected woman's height is less than 63 inches is approximately 1 - 0.5915 = 0.6915.
(b) The probability that a sample of 33 randomly selected women has a mean height less than 63 inches is approximately 0.9999.
When we have a sample of multiple individuals, the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This phenomenon is known as the Central Limit Theorem.
For this problem, we can assume that the mean height of the sample of 33 women follows a normal distribution with the same mean as the population (62.5 inches) but with a standard deviation equal to the population standard deviation divided by the square root of the sample size. In this case, the sample standard deviation would be 2.1 inches divided by the square root of 33, which is approximately 0.3669 inches.
To find the probability that the sample mean height is less than 63 inches, we can again use z-scores. The z-score is calculated using the formula z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the values into the formula, we get z = (63 - 62.5) / (0.3669) = 1.3662. The probability corresponding to this z-score can be found using a standard normal distribution table or a statistical calculator. The probability associated with a z-score of 1.3662 is approximately 0.9082.
However, since we want to find the probability that the sample mean height is less than 63 inches, we need to find the area to the left of the z-score. Thus, the probability that a sample of 33 randomly selected women has a mean height less than 63 inches is approximately 0.9999.
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