Answer:
(7n-4n) ×6 = 42-24n
Step-by-step explanation:
Happy to help
Answer:
42-24 the other guy is correct to
Step-by-step explanation:
hope this helped luis!
In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.
Answer:
Area = 42.43 square cm
Step-by-step explanation:
Using Heron's Formula :
\(Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}\)
Find Area :
\(s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15\)
\(Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\\)
\(= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}\)
\(= 42 . 43 \ cm^2\)
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?
O Underestimate, because the residual is positive.
O Underestimate, because the residual is negative.
O Overestimate, because the residual is positive.
O Overestimate, because the residual is negative.
O Neither, because the residual is 0.
The regression model (A) underestimates the data based on it since the residual is positive.
What is a regression model?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method.
Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.
The statistical link between a dependent variable and one or more independent variables can be ascertained using regression.
The independent variable's change is connected to the independent variable's change.
Two major sorts can be broadly distinguished from this. A linear regression. Regression using logit.
A roadrunner's total length and tail length in the given situation is 59.0 cm and 31.1 cm, respectively.
Because the residual is positive, the regression model underestimates the data based on it.
Therefore, the regression model (A) underestimates the data based on it since the residual is positive.
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Correct question
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?
a. Underestimate, because the residual is positive.
b. Underestimate, because the residual is negative.
c. Overestimate, because the residual is positive.
d. Overestimate, because the residual is negative.
e. Neither, because the residual is 0.
The size of a population of fish in a pond is modeled by the function P, where P(t) gives the number of fish and t gives the number of years after the first year of introduction of the fish to the pond for 0≤t≤10. The graph of the function P and the line tangent to P at t=4 are shown above. Which of the following gives the best estimate for the instantaneous rate of change of P at t=4 ?
The slope (m) will be "279.33". A further solution to the question is provided below.
At one moment this same instantaneous modification rate would be the same with the functionality derivative assessed somewhere at the time. In certain other terms, the pitch of such tangent line towards the curvature is somewhere at a level equivalent to that as well.
According to the question,
(x₁, y₁) = (3, 0)(x₂, y₂) = (6, 838)As we know,
⇒ \(Slope (m) = \frac{y_2-y_1}{x_2-x_1}\)
By substituting the values, we get
⇒ \(=\frac{838-0}{6-3}\)
⇒ \(=\frac{838}{3}\)
⇒ \(=279.33\)
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The instantaneous rate of change is the rate of change at a particular point or instant in the graph. The instantaneous rate of change of P at \(t=4\) is 250
I've added as an attachment, the graph that represents the population of the fish.
To determine the instantaneous rate of change at \(t=4\), we simply calculate the slope (m) of the tangent line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Because of the scale of the graph, I will use the following estimated points from the tangent line
\((x_1,y_1) = (3,0)\)
\((x_2,y_2) = (4,250)\)
So, the slope is:
\(m = \frac{250 - 0}{4 - 3}\)
\(m = \frac{250}{1}\)
\(m = 250\)
Hence, the instantaneous rate of change of P at \(t=4\) is 250
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10 points for answer
The expression wA - 36 is equivalent to
Answer:
4. (w² + 6)(w² - 6)
Step-by-step explanation:
w^4 - 36
(w² + 6)(w² - 6)
An item costs $390 before tax, and the sales tax is $31.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
390/31.20=12.5 you can either write it as 12.5% or 13% if u round up
Step-by-step explanation:
Answer:
shzsnn
Step-by-step explanation:
hzm,j ktbmnx
You are at a restaurant and the check comes to a total of $40. If you want to leave a 19% tip, how much total money should you pay, to the nearest cent?
Answer: the answer is 8
Step-by-step explanation:
i used a percent calculator and it gave me the answer of 7.6 but 6 makes the 7 round up to 8. 6 is also the nearest cent
Answer:
$7.60
Step-by-step explanation:
Taking 19% of 40 would give you 7.6, which is $7.60.
(05.05 MC)
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 6 inches? (5
points)
Answer:
h = 8 inches
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the height )
given A = 24 and b = 6 , then
\(\frac{1}{2}\) × 6 × h = 24 , that is
3h = 24 ( divide both sides by 3 )
h = 8 inches
Find the exact length of the curve x = 1/3 √y (y - 3), 16 ≤ y ≤ 25.
The exact length of the curve x = 1/3 √y (y − 3), 16 ≤ y ≤ 25 is 64/3.
Given,
x = 1/3 √y (y − 3), 16 ≤ y ≤ 25
Length of the curve y = f(x) from x =a to x = b is given by: ∫√1 + [f′(x)]2 dx.
x = 1/3 √y (y − 3)
x = 1/3 . y3/2 - y1/2
Let's find the first derivative of x.
dx/dy = 1/3. 3/2. y1/2- 1/2 . y1/2
dx/ dy = 1/2 ( y1/2 -y-1/2)
(dx/dy)2 = 1/4 ( y1/2 -y-1/2)2
= 1/4(y + y-1 -2)
1 + {f′(x)}2 = 1 + 1/4(y + y-1 -2)
= 1/4 y + 1/4y + 1/2
1 + {f′(x)}2= 1/4 (y + y-1 + 2)
√[1 + {f′(x)}2] = 1/2 ( y1/2 + y-1/2)
Length of curve = \(\int\limits^a_b {\sqrt{ [1 + {f'(x)}2]} \, dx\)
where a = 25 and b = 16
= [(y)3/2 /3 + √y]
= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]
= [125/3 + 5] - [64/3 + 4]
= 140/3 - 76/3
= (140 - 76)/3
= 64/3
Hence, the exact length of the curve x = 1/3 √y (y − 3), 16 ≤ y ≤ 25 is 64/3.
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Suppose the profit from the sale of x units of a product is P=6400x−18x^2−400. (a) What levei(s) of production will yield a profit of $359,400 ? (Enter your answers as a comma-separated list. Round your answers to two decimal places.) (b) Can a profit of more than $359,400 be made?
(a)The levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units. (b)So, it is possible to make a profit of more than $359,400.
(a) To determine the level(s) of production that will yield a profit of $359,400, substitute P=359400 in the equation.6400x−18x^2−400 = 359400Adding 400 to both sides:6400x − 18x² = 359800
Dividing both sides by -2:9x² − 3200x + 179700 = 0
Applying the quadratic formula:
x = (-(-3200) ± √((-3200)² - 4(9)(179700))))/(2(9))
= (3200 ± √(10240000 - 6464400))/18
= (3200 ± √(3785600))/18
= (3200 ± 1946.55)/18x
= 292.36 or 651.64
Thus, the levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units.
(b) To determine if a profit of more than $359,400 can be made, we need to determine the maximum profit by completing the square, and comparing it to $359,400.P=6400x−18x^2−400
Completing the square: P= -18(x - 88.89)² + 710937.2
Maximum profit is $710,937.20, which is more than $359,400.
So, it is possible to make a profit of more than $359,400.
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6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.
If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Let Y = 2 - X, where X is an exponential random variable with mean 1.
To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.
Cov(X,Y) = E[XY] - E[X]E[Y]
Since X and Y are both exponentially distributed with mean 1, we have:
E[X] = 1, E[Y] = 2 - E[X] = 1
E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)
Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0
Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.
Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.
Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
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Elvis and Lisa Marie are in the 35% tax bracket. Their joint taxable income is $496,235. If the first $16,050 is taxed at 10%, with the remainder at 35%, how much tax will they ow?
They owe 1,605 dollars as tax.
Given that, their joint taxable income is $496,235 and the first $16,050 is taxed at 10%, with the remainder at 35%.
Taxes Owed = ($16,050 x 10%) + ($496,235 - $16,050) x 35%
= $1,605 + ($480,185 x 35%)
= $1,605 + $168,064.75
= $169,669.75
Therefore, they owe 1,605 dollars as tax.
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hey! i’ll give brainliest pls help.
Answer:
Hi! I'll just help qwq
The first option should be the correct answer!
Step-by-step explanation:
The sun is in the center, and all other planet orbits/goes around the sun.
The second option is a theory of which old people believed. Now we know for sure that the sun is in the center, and we orbit around it.
need help
with 1.9 more especially
Answer:
1/2 × |AB| × |OE|
Step-by-step explanation:
use the formula for finding the area of a triangle.
A school has a square courtyard and wants to create diagonal walkways. the length of
each side of the courtyard is 25 meters. approximately how long is each walkway?
The length of each side of the courtyard is 25 meters. Then 35.36 meters long is each walkway.
In the given question, a school has a square courtyard and wants to create diagonal walkways.
The length of each side of the courtyard is 25 meters.
We have to find how long is each walkway.
By dividing the square in half to form a right triangle, you can find the solution. The Pythagorean theorem can then be used to find the hypotenuse.
According the Pythagorean Theorem
\(a^2+b^2 = c^2\)
\((25)^2+(25)^2=c^2\)
Now solving,
625 + 625 = \(c^2\)
\(c^2\) = 1250
Taking square root on both side, we get
c = 35.36 meters.
Hence, 35.36 meters long is each walkway.
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a basketball player with a poor foul-shot record practices intensively during the off-season. he tells the coach that he has raised his proficiency from 60% to 80%. dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. did the player prove that he has improved?
The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%
Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.
Given\(=60\)%\(=0.60\)
n\(=10\)
Definition binomial probability:
\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)
Evaluate for \(k=9\) and \(k=10\)
P\((X=9)=0.0403\)
P\((X=10)=0.0060\)
Add the corresponding probabilities:
P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%
Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)
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Es una tarea de matemáticas que me dejaron en la escuela y soy de 6 A
Answer:
¡Claro! Estoy aquí para ayudarte con tu tarea de matemáticas. Por favor, dime cuál es el problema o los problemas que necesitas resolver, y con gusto te brindaré la información y la asistencia que necesites
The derivative of a constant is zero.
What is the derivative of a constant?When we differentiate a constant function, the derivative is always zero. This is because a constant function does not vary with respect to its independent variable. Regardless of the value of x chosen, the function remains constant, exhibiting no change to measure. In calculus, the derivative represents the rate at which a function is changing at any given point.
Since there is no change occurring in a constant function, the rate of change is zero throughout its domain. This can be understood by considering the definition of the derivative and the concept of limits. The derivative measures the slope of a function, indicating how much the function is changing.However, in the case of a constant, there is no change, leading to a derivative of zero.
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Select all expressions that are equivalent to 5^n/2^n. There may be more than one correct answer. A. (5/2)^n B. (2/5)^-n C. - (5/2)^n D. (2.5)^n E. (1/2/5)^n F. 2^-n/5^-n
The expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ , 2⁻ⁿ/5⁻ⁿ.Options A, B, D, and F are correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the expression is, 5ⁿ/2ⁿ
The expression can be written in different ways as,
5/2)ⁿ
(2/5)⁻ⁿ
(2.5)ⁿ
2⁻ⁿ/5⁻ⁿ
Thus, the expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ, 2⁻ⁿ/5⁻ⁿ. Options A, B, D, and F are correct.
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aMathWhich of the following shows the solution and graph to the inequality2x + 1 s 15?
Answer:
\(\text{ Option }\Rightarrow\text{ D}\)Explanation: We need to find the answer to the inequality
\(2x+1\leq15\)Solution:
\(\begin{gathered} 2x+1\leq15 \\ 2x\leq15-1 \\ \therefore\Rightarrow \\ 2x\leq14\rightarrow2x\leq\frac{14}{2} \\ x\leq7 \end{gathered}\)Graph:
The solution as found through solving inequality and demonstrated in the graph is
\(\text{ is Option D}\)What's an example from history where two nations fought over territory they believed was rightfully theirs?
Answer:
Native Americans and the British.
Step-by-step explanation:
The Native Americans were in North America first but the British/English thought they deserved the land and the two fought over it.
candy bars have increased in price by 8% in recent years. if today’s price is approximately $1.60, how much was the original price of candy bars before the price increase?
Answer:
$1.50
Step-by-step explanation:
Answer:
1.48
Step-by-step explanation:
no step by step explanation
One sample has n = 4 scores and m = 10. a second sample has n = 8 scores and m = 4. if the two samples are combined, what is the mean for the combined sample?
Based on the above, The mean of the combined sample is 5.53.
What is the mean about?The given parameters of the question were:
The number of the first sample = 4The mean of the first sample = 10The number of the second sample = 8The mean of the second sample = 4Therefore, To find:
The combined mean of the two samples
The total sample number = 4 + 8 = 13
The sum of the first sample = 4 x 20 = 40
The sum of the second sample = 8 x 4 = 32
The sum of the two samples = 40 + 32= 72
The mean of the combined samples;
72/13 = 5.53
Therefore, Based on the above, The mean of the combined sample is 5.53.
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If you see someone who is injured at a workplace, the first thing you should do is _____.
A) call 9-1-1 or your local emergency number
B) begin to administer first aid
C) check the scene for danger
D) try to discover what is wrong with the person
{ The correct answer is C just took the quiz.}
Answer:
c
Step-by-step explanation:
My oscillation has a frequency of 7 hertz. What is the period?
The period of the oscillation is 1/7 seconds
How to determine the period of the oscillation?From the question, we have the following statement that can be used in our computation:
Frequency = 7 hertz
The period of the oscillation is calculated as
Period =1/Frequency
Substitute the known values in the above equation, so, we have the following representation
Period =1/7
Hence, the period is 1/7
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Which equation would be best solved by using the Quadratic Formula to find the solutions?
O 3x2 + 4x + 5 = 0
O 4x2 - 81 = 0
O (x + 5)2 – 6 = 0
O 22 + 36 = 0
Answer:
c
Step-by-step explanation:
looks alot easier thna others and more simple to solve a equation tht way
Describe when each of the three statistical process control chart methods (X-bar and R chart, p chart, and c chart) should be utilized? Describe when each of the three statistical process control chart methods (X-bar and R chart, p chart, and c chart) should be utilized?
The X-bar and R chart method is suitable for monitoring continuous data, such as measurements or weights. The p chart is used to monitor the proportion of nonconforming items in a sample, while the c chart is used when the count of nonconformities is being monitored.
The X-bar and R chart method is utilized when the focus is on continuous data. It consists of two charts: the X-bar chart, which tracks the average or mean of a process, and the R chart, which monitors the range or variation within subgroups. This method is commonly used in industries where measurements or weights are critical, such as manufacturing processes, chemical production, or quality control in laboratories. The X-bar chart helps identify shifts or trends in the process mean, while the R chart detects variations within subgroups.
The p chart is employed when the objective is to monitor the proportion of nonconforming items in a sample. It is useful when dealing with attribute data, where each item is classified as either conforming or nonconforming. The p chart is commonly used in industries where the focus is on the quality of a product or service, such as in pharmaceutical manufacturing, food processing, or customer satisfaction surveys. This chart helps identify any significant changes in the proportion of nonconforming items, enabling timely corrective actions.
The c chart is employed when the count of nonconformities is being monitored. It is particularly suitable for situations where the number of nonconformities can vary within a sample, such as defects in a product or errors in a process. The c chart is frequently used in industries where the occurrence of defects needs to be controlled, like automotive manufacturing, electronics production, or healthcare facilities. By monitoring the count of nonconformities, the c chart helps detect any unusual variations and facilitates the implementation of corrective measures to maintain process stability and quality standards.
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A 216-inch is cut into two pieces. one piece is three times the length of the other. find the length of the shorter
Let's denote the length of the shorter piece as x inches. Since the other piece is three times the length of the shorter piece, its length can be represented as 3x inches. Therefore, the length of the shorter piece is 54 inches.
According to the given information, the total length of the two pieces is 216 inches. Therefore, we can write the equation:
x + 3x = 216
Combining like terms:
4x = 216
To isolate x, we divide both sides of the equation by 4:
x = 216/4
Simplifying the division:
x = 54
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Troy is landscaping his yard.
He spends a total of $500.
Troy spends $160 on bricks.
He spends the rest of the money on trees that cost $20 each.
Troy uses the equation 500 = 20t + 160 to find the number of trees, t, he can buy.
How many trees can Troy buy?
8
17
25
33
\(\text{Hello There!}\)
\(\text{You are adding and subtracting for this equation.}\)
\(\text{$500-160=340}\)
\(\text{Since 340 is a factor of 20}\)
\(\text{You add +20 until you get 340.}\)
\(\text{20}\times{17=340}\)
\(\text{So your answer is going to be}\)
\(\huge\text{17}\)
\(\rule{250}{1.5}\)
Answer:
17
b
Step-by-step explanation:
Select the two pairs of figures that are similar.
Angle measures are rounded to the nearest integer.
The two pairs of figures that are similar are shown in figure 1 and 3.
What is Similar quadrilateral?
Two quadrilaterals are similar when there corresponding angles are equal to each other.
Given that;
In figure 1;
Two triangles are shown.
In figure 2;
One rectangle and other is square.
In figure 3;
Two rectangle are shown.
Now,
Since, Two quadrilateral are similar when there corresponding angles are same.
In the figure 1;
The angles of first triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
The angles of second triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
Thus, There all angles are equal to each other.
So, These figure are Similar.
And, In figure 2;
One figure is square and other is a rectangle.
So, It is not similar.
And, In figure 3;
Both figure are rectangle.
And, All angles in a rectangle are 90 degree.
Thus, they are similar.
Therefore,
The two pairs of figures that are similar are shown in figure 1 and 3.
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TRIGONOMETRY
Could someone please help me with 5.2 please...it would really help alot:)
sin(x+y) - sin(x-y) - 1 = cos(2x)
sin(90) - sin(x-y) - 1 = cos(2x)
1 - sin(x-(90-x)) - 1 = cos(2x)
-sin(2x-90) = cos(2x)
-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)
-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)
-1*(0 - cos(2x)) = cos(2x)
-1*(-cos(2x)) = cos(2x)
cos(2x) = cos(2x)
This confirms the identity is true.
Notice that throughout this proof, I only changed the left hand side.
On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).