Answers
Answer:
LL
Step-by-step explanation:
We have two right triangles
The two legs are congruent
We can use the LL congruence theorem
Related Questions
A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price, the number of items sold will decrease by 5.
What is the maximum revenue possible in this situation? (Do not use commas when entering the answer) $
What price will guarantee the maximum revenue? $
Answers
The price that guarantees the maximum revenue is $40.
The maximum revenue possible in this situation is $8000.
Given that the company can sell 225 items at a price of $35, and for every dollar increase in price, the number of items sold decreases by 5, we can set up a relationship between price and quantity sold.
Let's denote the price as "P" and the quantity sold as "Q". We can express this relationship as follows:
Q = 225 - 5(P - 35)
This equation represents the decrease in quantity sold as the price increases.
To find the price that guarantees the maximum revenue, we need to find the price at which the quantity sold multiplied by the price is maximized. This is equivalent to finding the maximum value of the revenue function.
Revenue (R) is calculated as:
R = P × Q
To find the price that guarantees the maximum revenue, we need to maximize the revenue function R(P).
Let's substitute the expression for Q into the revenue function:
R(P) = P × (225 - 5(P - 35))
Now, simplify and expand the equation:
R(P) = P × (225 - 5P + 175)
= P × (400 - 5P)
To find the maximum revenue, we need to find the value of P that maximizes R(P). This can be done by finding the critical points of the function, which are the values of P where the derivative of R(P) equals zero.
Let's take the derivative of R(P) with respect to P:
dR(P)/dP = 400 - 10P
Setting the derivative equal to zero and solving for P:
400 - 10P = 0
10P = 400
P = 40
Therefore, the price that guarantees the maximum revenue is $40.
To find the maximum revenue, substitute P = 40 into the revenue function:
R(40) = 40 × (225 - 5(40 - 35))
= 40 × (225 - 5(5))
= 40 × (225 - 25)
= 40 × 200
= 8000
Hence, the maximum revenue possible in this situation is $8000.
To learn more about the derivative;
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simplify 2.5a–7–6.8a+11.1
Answers
Answer:
-4.3a + 4.1
Step-by-step explanation:
Well in the given expression,
2.5a - 7 - 6.8a + 11.1
We need to combine like terms,
2.5a + -6.8a = -4.3a
-7 + 11.1 = 4.1
Ans: -4.3a + 4.1
Thus,
the answer is -4.3a + 4.1
Hope this helps :)
The simplification form of given expression is -4.3a + 4.1
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
The given expression,
⇒ 2.5a - 7 - 6.8a + 11.1
Combine like terms in expression,
⇒ 2.5a - 6.8a + 11.1- 7
Apply the arithmetic operations
⇒ -4.3a + 4.1
Hence, the simplification form of given expression is -4.3a + 4.1
Learn more about Arithmetic operations here:
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A manufacturer claims that its rechargeable batteries are good for an average of more than 1.000 charges. A random sample of 100 batteries has a mean life of 1002 charges and a standard deviation of 14. Is there enough evidence to support this claim at a significance level of 0.01?
a. State the hypotheses.
b. State the test statistie information
c. State either the p-value or the critical information d. State your conclusion and explain your reasoning
Answers
It's 1000 charges and not 1.000 charges
Answer:
A)Null Hypothesis;H0: μ = 1000
Alternative Hypothesis;Ha: μ ≠ 1000
B) t-statistic = 1.4286
C) p-value = 0.15628
D) We conclude that we will fail to reject the manufacturers claim that its rechargeable batteries are good for an average of more than 1000 charges
Step-by-step explanation:
We are given;
x = 1002 charges
s = 14
μ = 1000 charges
n = 100
degree of freedom = n - 1 = 100 - 1 = 99
A) The hypotheses are;
Null Hypothesis;H0: μ = 1000
Alternative Hypothesis;Ha: μ ≠ 1000
B) t-statistic = (x - μ)/(s/√n)
(1002 - 1000)/(14/√100) = 1.4286
C) From the t-score calculator results attached, the p-value is approximately 0.15628
D) The P-value of 0.15628 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we conclude that the result is statistically nonsignificant.
A process on a machine has a standard deviation of 0.04 inches. If a product with specifications of +/- 0.07 inches has to be processed on that machine, is the machine capable of performing that job? Group of answer choices
Answers
Answer:
c.) No, because Cp < 1
Step-by-step explanation:
Let us assume that there is centered in the process
and, the width is 2 times the specification
So, the width is
[tex]= 2 \times 0.07[/tex]
= 0.14
Now capability index = Cp is
[tex]= \frac{specification\ width}{6 \times standard\ deviation}\\\\= \frac{0.14}{6\times 0.04}[/tex]
= 0.58333
And the capability index should be minimum 1 for the process
And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job
Hene, the correct option is c.
I have a couple more questions and I don’t have time to answer them all lol, my science class starts in 15 minutes.
Answers
Answer:
[tex]\boxed{x = 7}[/tex]
Step-by-step explanation:
75 = 11x-2 (Corresponding angles are equal)
11x -2 = 75
Adding 2 to both sides
11x = 75+2
11x = 77
Dividing both sides by 11
x = 7
Answer:
[tex]\left[\begin{array}{ccc}\\x = 7\\\end{array}\right][/tex]
Step-by-step explanation:
Well to find x we can set up the following equation,
11x - 2 = 75
So we have to single out x.
+2 to both sides
11x = 77
Divide 11 by both sides
x = 7
Thus,
x = 7.
Hope this helps :)
i have to write equations in standard form using integer coefficients for A,B, and, C Example: y= -8/15x + 1/20
Answers
Answer:
c
Step-by-step explanation:
An ice sculpture is melting at a constant rate. It's weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours?
Answers
Answer:
It will decrease by 6 3/10 lbs in the 3 1/2 hours
Step-by-step explanation:
The rate is -1 4/5 lbs per hour
The time is 3 1/2 hours
Multiply to find the weight change
-1 4/5 * 3 1/2
Change to improper fractions
- ( 5*1 +4) /5 * ( 2* 3+1)/2
- 9/5 * 7/2
-63/10
Changing back to a mixed number
-6 3/10
It will decrease by 6 3/10 lbs in the 3 1/2 hours
Answer:
-6 3/10 pounds
Step-by-step explanation:
The weight of ice sculpture changes -1 4/5 pounds every 1 hour.
In 3 1/2 hours, multiply the time with the weight.
-1 4/5 × 3 1/2
Multiply.
-9/5 × 7/2
-63/10 = -6 3/10
Which of the following shapes can NOT be created by revolving a two-dimensional figure around an axis? There can be more than 1. A. come B. cube C. Rectangular pyramid D. Rectangular Prism E. Cylinder F. Sphere
PLEASE HELP
Answers
Answer:
A. Cone
D. Rectangular Prism
E. Cylinder
F. Sphere
Step-by-step explanation:
Rectangular Prism is a solid three dimensional shape. It has six faces which are sides of a rectangle. It is also known as Cuboid. The rectangular prism cannot be formed with two dimensional shapes. Sphere is a geometrical object which is a three dimensional circle. This shape has a circumference so this shape cannot be formed with two dimensional shapes.
1. What are foci? 2. What is the first step to take to write the equation of a hyperbola? 3. How do you represent parts of a hyperbola algebraically?
Answers
Answer: see below
Step-by-step explanation:
1) Foci is plural for Focus. Since a hyperbola has two focus points, they are referred to as foci. The foci is where the sum of the distances from any point on the curve to the foci is constant.
2) When determining the equation of a hyperbola you need the following:
a) does the hyperbola open up or to the right?
b) what is the center (h, k) of the hyperbola?
c) What is the slope of the asymptotes of the hyperbola?
3) The equation of a hyperbola is:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]
(h, k) is the center of the hyperbola± b/a is the slope of the line of the asymptotesThe equation starts with the "x" if it opens to the right and "y" if it opens upA = 100(1+r)^4
Expand the right of this formula.
appreciate your help with an explanation
Answers
Answer:
100r^4 + 400r^3 + 600r^2 + 400r + 100
Step-by-step explanation:
Expanding ( r + 1 )^4 gives :-
r^4 + 4r^3 + 6r^2 + 4r + 1
So multiplying 100 with r^4 + 4r^3 + 6r^2 + 4r + 1 gives :-
100r^4 + 400r^3 + 600r^2 + 400r + 100
Line B passes through the points (5, 10) and (0, 0). What is the slope of the line perpendicular to line B?
Answers
Answer:
The line that is perpendicular to B has a slope of -1/2
Step-by-step explanation:
First find the slope of line B
m = ( y2-y1)/(x2-x1)
= (10-0)/(5-0)
= 10/5
= 2
Lines that are perpendicular have slopes that multiply to -1
m * 2 = -1
m = -1/2
The line that is perpendicular to B has a slope of -1/2
Answer:
-1/2x
Step-by-step explanation:
Hey there! :)
Well to find the slope of line B we'll use the following formula.
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
We'll use the points (0,0) and (5,10),
10 - 0 = 10
5 - 0 = 5
Slope = 2x
The slopes of 2 perpendicular lines are reciprocals of each other,
meaning if the slope of line B is 2x then its perpendicular lines slope is -1/2x.
Hope this helps :)
A poll of 61 students found that 22% were in favor of raising tution to pave new parking lots. The standard deviation of this poll is 6%. What would be the standard deviation if the sample size were increased from 61 to 290?
Answers
Answer:
The standard Deviation would increase
Step-by-step explanation:
Is this advantages?
Help ! Inductive and deductive reasoning differ in which way? A) Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true. B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid. C) Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true. D) Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
Answers
Answer:
B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
Step-by-step explanation:
Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth
Answer:
The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
Step-by-step explanation:
I took the test
helppppppppp pleaseeeeeeeeeeeeeee
Answers
Answer:
Number is yellow box=3
Step-by-step explanation:
We know this because the way we get that number is subtracting the two numbers above it, which is 8 and 5, which give us 3.
if you appreciated this, please consider giving me brainliest, it will help me a lot
Thank you,
Have a good day! :)
The floor of a rectangular room is to be covered with square floor tiles with
1
-foot sides. The floor of the room is
18
feet long and
12
feet wide. If the square tiles cost
$
4
each, how much would it cost to completely cover the floor with these tiles?
Answers
Answer:
Total cost = $864
Step-by-step explanation:
The area of the rectangular room
= 18*12
= 216 ft²
The sides of the square is 1ft
The area of the square= 1ft²
To know how many square tiles it will take= 216/1 = 216 square tiles.
The total cost to completely cover the room with tiles if each tiles cost $4
= 216*4
= $864
Total cost=$864
Find the intervals of convergence of f(x), f '(x), f ''(x), and ∫f(x) dx. (Be sure to include a check for convergence at the endpoints of the intervals. Enter your answer using interval notation.) f(x) = [infinity] (−1)n + 1(x − 8)n n8n n = 1
Answers
Answer: See solution and explanations in the attached documents
Step-by-step explanation:
See explanations in the attached documents
please please
please
please help
me. i am desperate
Answers
Answer:The answer is c
Step-by-step explanation:
Find two numbers in a given ratio such that the difference of their squares is to the sum of the numbers in a given ratio.Ratios, respectively, are 3 to 1 and 6 to 1.
Answers
According to the given situation, the computation of two number in a given ratio is shown below:-
We assume the numbers is x and y
Given that
[tex]\frac{x}{y} = \frac{3}{1}[/tex]
x = 3y
and
[tex]\frac{x^2-y^2}{x + y} = \frac{6}{1} \\\\\frac{(x + y) (x - y)}{(x + y)} = 6[/tex]
With the help of above formula we will put the value and be able to find the values of x and y
x - y = 6
3y - y = 6
2y = 6
y = 3
x = 3y = 9
x = 9, y = 3
Therefore the correct answer is x = 9 where as y = 3
if a 10 pound turkey cost 20.42 how much does 21 pound turkey cost
Answers
Answer:
$42.88
Step-by-step explanation:
We can set up a cross product fraction ratio to find how much 21 pounds of turkey costs.
[tex]\frac{10}{20.42} = \frac{21}{x}[/tex]
Let's apply the cross multiplication property.
[tex]20.42\cdot21=428.82[/tex]
Now we divide this by 10.
[tex]428.82\div10=42.882[/tex]
This simplifies down to [tex]42.88[/tex].
Hope this helped!
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answers
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
Part 1Four times a number added to 3 times a larger number is 31.
It is translated as:
4x + 3y = 31Then, solving for y:
4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3⇒ y= - 4/3x + 31/3
Correct answer choice for this equation:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2Seven subtracted from the larger number is equal to twice the smaller number.
It is translated as:
y-7= 2xThen, solving for y:
y-7= 2x ⇒ y= 2x+ 7Correct answer choice for this equation:
y = 2 x + 7
Answer:
It's A.
Step-by-step explanation:
I just got it correct on my unit test review.
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Answers
Answer:
6227020800
Step-by-step explanation:
There are 13 ways to choose the first person in the first group, 12 ways to choose the second person in the first group and so on until we get 1 way to choose the second person in the last group so the answer is 13 * 12 * 11 * ... * 3 * 2 * 1 = 13! = 6227020800.
The contingency table represents a box of cards. Box of Cards 1 2 3 4 5 Total Black 1 1 1 1 1 5 Red 1 1 1 0 0 3 Total 2 2 2 1 1 8 What is the probability that a card chosen at random is black and 1?
Answers
Answer:
[tex]Probability = \frac{1}{8}[/tex]
Step-by-step explanation:
Given
Box of Cards -- 1 -- 2 -- 3 -- 4 -- 5 -- Total
Black --------------1 ---1 ----1 ----1 ---1 ----5
Red ---------------- 1 ---1 ----1 ----0--- 0--- 3
Total --------------- 2 ---2 --2-----1 -----1 ---8
Required
Determine the probability of a card being black and being card 1
To solve this, we the the number of card 1 that is black
This is shown below
Box of Cards -- 1
Black --------------1
This implies that, 1 card is black and also card 1
Represent this with [tex]n(Black\ and\ 1)[/tex]
[tex]n(Black\ and\ 1) = 1[/tex]
Next, is to get the total number of cards
From the given parameters;
[tex]Total = 8[/tex]
The probability is calculated as follows
[tex]Probability = \frac{n(Black\ and\ 1)}{Total}[/tex]
[tex]Probability = \frac{1}{8}[/tex]
The ratio of men to women working for a company is 7 to 5 . If there are 90 women working for the company, what is the total number of employees?
Answers
Answer:
The Total of employees
=216 employees
Step-by-step explanation:
Ratio of men to women is 7 to 5
Meaning
Men/women= 7/5
If their are 90 women
Let men= x
X/women= 7/5
X= women *7/5
X= 90*7/5
X= 18*7
X= 126
There are a total of 126 men
The Total of employees=men + women
The Total of employees=126+90
The Total of employees
=216 employees
Rationalize the denominator and simplify.
7
3
Answers
Answer:
[tex]\frac{\sqrt{21}}{3}[/tex] is the answer.
Step-by-step explanation:
To rationalize the denominator of [tex]\sqrt{\frac{7}{3}}[/tex] we will remove the square root or cube root from the denominator.
For which we multiply with the same value given in the denominator to numerator and denominator both.
[tex]\sqrt{\frac{7}{3}}=\frac{\sqrt{7} }{\sqrt{3} }[/tex]
[tex]\frac{\sqrt{7}}{\sqrt{3}}=\frac{\sqrt{7}}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]=\frac{\sqrt{7\times 3}}{(\sqrt{3})^2}[/tex]
[tex]=\frac{\sqrt{21}}{3}[/tex]
[tex]\frac{\sqrt{21}}{3}[/tex] is the rationalized form.
Therefore, [tex]\frac{\sqrt{21}}{3}[/tex] will be the answer.
How many solutions does the following equation have? 14(z+3)=14z+21
Answers
Answer:
No solutions
Step-by-step explanation:
14(z + 3) = 14z + 21
Expand brackets.
14z + 42 = 14z + 21
Subtract 14z on both sides.
42 = 21
There are no solutions.
Answer:
No solution
Step-by-step explanation:
First, We have to simplify the right side.
Distribute 14, 14z+42.
Now the equation stands as 14z+42=14z+21
Subtract 14z from both sides,
this makes it 42=21.
We know when the solution is #=#, our answer is no solution.
What is the range of y=log2(x-6)
Answers
Answer:
6<y<∞
Step-by-step explanation:
Logarithmic curves can never go left to 0 and go on forever to the right.
x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.
A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 11% chose chocolate pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret, ModifyingAbove q with caret, n, E, and p represent? If the confidence level is 95%, what is the value of alpha?
Answers
Answer:
[tex]\r p = 0.11[/tex]
[tex]\r q = 0.89[/tex]
n = 2000
[tex]E = \pm 5[/tex]
p - population proportion
[tex]\alpha = 5[/tex]%
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 2000[/tex]
The proportion of the population for chocolate pie is [tex]p_c = 0.11[/tex]
The margin of error is [tex]E = \pm 5[/tex]%
Now in the question we are asked to provide the meaning of
[tex]\r p , \r q , n , E , and\ p[/tex]
Now [tex]\r p[/tex] is the sample proportion of the population that those chocolate pie as favorite pie of which is given from the question as 0.11
Now
[tex]\r q[/tex] is the sample proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as
[tex]\r q = 1 - \r p[/tex]
[tex]\r q = 1 - 0.11[/tex]
[tex]\r q = 0.89[/tex]
n is the sample size which is given as n = 2000
E is the margin of error which given as [tex]E = \pm 5[/tex]%
p is the population proportion
Given that the confidence level is 95 % then the level of significance is mathematically evaluated as
[tex]\alpha =(100 - 95)[/tex]%
[tex]\alpha =[/tex]5%
Based on the dot plot, which statements are correct? Check all that apply
Eleven students answered Mr. Chiu's question.
Twelve students answered Mr. Chiu's question.
Three people studied for two hours.
Three people studied for three hours.
Everyone who responded studied for at least one hour.
Four people studied for four or more hours
Answers
Answer: options 2,3and 6
Answer:
option
2-Twelve students answered Mr. Chiu’s question.
3-Three people studied for two hours.
6-Four people studied for four or more hours.
Step-by-step explanation:
hope this helps:)
please help!! shirley is drawing triangle that have the same area
Answers
Answer:
12 and 7
Step-by-step explanation:
The area of the first triangle is
A = 1/2 bh
A = 1/2 ( 14*6)
A = 42
The area of the second triangle must equal 42
Varying inversely means as the height increases, the base must decrease at the same rate
Lets try 12 and 7
A = 1/2 (12*7)
A = 42
The height of the new triangle increased and the base decreased
Answer:
[tex]\boxed{12 \: \mathrm{and} \: 7}[/tex]
Step-by-step explanation:
Solve for the area of first triangle.
[tex]\frac{bh}{2}[/tex]
[tex]b=base\\h=height[/tex]
[tex]\frac{14 \times 6}{2}[/tex]
[tex]\frac{84}{2} =42[/tex]
The area of second triangle is same as the first triangle.
The area of second triangle is 42 units².
The base varies inversely with the height.
[tex]b \propto \frac{1}{h}[/tex]
As the value of b increases, the value of h decreases.
[tex]\frac{12 \times 7}{2}=42[/tex]
The answer is b = 12 and h = 7.
less than 0 but greater than (−5)
Answers
Answer:
-5 < x < 0
Step-by-step explanation: