Answers
but the answer rounded to the nearest thousandth is 54.806
Related Questions
the second drop down box says up or down
Answers
Answer: Line B'A is 1 unit too long (longer than C'C and A'A.
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
What dividend is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Negative 10 x squared minus 5 2 x cubed 10 x squared x 5 2 x squared 1 2 x cubed x.
Answers
The dividend is represented by synthetic division is \(\rm 2x^3 + 10x^2 + x + 5\).
Given
A vertical line and a horizontal line combine to make an L shape.
There are two rows of entries within the shape.
Row 1 has entries 2, 10, 1, 5.
Row 2 has entries blank, -10, 0, -5.
What is synthetic division?Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1.
Entry -5 is on the outside to the left of the shape.
The entry represents the zero of the divisor.
This entry to the variable (assume the variable is x) is;
\(\rm 2x^3 + 10x^2 + x + 5\)
Hence, the dividend is represented by synthetic division is \(\rm 2x^3 + 10x^2 + x + 5\).
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Answer:
B.) 2x^3+10x^2+x+5
Step-by-step explanation:
$13=2.50+3h
What does h equal?
Answers
Answer: 10.50
Step-by-step explanation:
10.50 + 2.50 = 13
Answer:
13-2.50=10.50
10.50/3=3.5
a certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. the battery lives are assumed normally distributed. a. what is the probability that a given battery will last between 2.3 and 3.6 years? b. what is the probability that a given battery will last longer than 24 months?
Answers
Part a: The probability that a given battery will last between 2.3 and 3.6 years is 80.41%.
Part b: The probability that a given battery will last longer than 24 months is 97.72%.
What is meant by the normal distribution?A normal distribution is a data set arrangement in which the majority of values cluster inside the center of the range and the remainder slacken off symmetrically toward any extreme.For the given question,
The data for the storage battery are-
Mean μ = 3.0 years.Standard deviation σ = 0.5 years.Part a: The probability that a given battery will last between 2.3 and 3.6 years.
Find z score for x = 2.3 years.
z(2.3) = (x - μ )/σ
Put the values,
z(2.3) = (2.3 - 3.0)/0.5
z(2.3) = -1.4
Use negative z score table;
P(z = -1.4) = 0.0808
Similarly, for x = 3.6
z = (3.6 - 3)/0.5
z = 1.2
Use positive z table;
z = 0.8849
P(2.3<x<3.6) = 0.8849 - 0.0808
P(2.3<x<3.6) = 0.8041
Thus, the probability that a given battery will last between 2.3 and 3.6 years is 80.41%.
Part b: The probability that a given battery will last longer than 24 months = 2 years.
x = 2 years
z (2) = ( 2 - 3.0 )/ 0.5
z = 2
P(x > 2) = 0.9772
Thus, the probability that a given battery will last longer than 24 months is 97.72%.
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the value of the is used to estimate the value of the population parameter. a. population statistic b. population estimate c. sample statistic d. sample parameter
Answers
The value that is used to estimate the value of the population parameter is the sample statistic. Hence, option (c) is the correct answer.
A sample statistic is a piece of statistical information that is obtained from a fraction of the population. Just as its name suggests, it is computed from our sample data to help provide us insight into the population parameters.
A sample is a fraction of a given population. Once one has a sample, one can calculate various statistics about the sample, like median, average, or deviation. This can help one draw inferences about large populations using small samples.
A sample statistic is a random variable. Thus, it has an associated probability distribution, called the sampling distribution. The nature of the sampling distribution is essential in determining the properties of the sample statistic.
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In the figure, a∥b and m∠3 = 34°.
What is the m∠7?
Enter your answer in the box. |__|
Answers
Therefore, In the figure, a∥b angle m∠7 = 34° .
What is angle ?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.
Here,
Given that a and b are parallel lines,
∠3 and ∠7 are corresponding angles and congruent
m∠3 = 34°
thus ,m∠7 =m∠3 = 34°
so, m∠7 = 34°
Therefore, In the figure, a∥b m∠7 = 34° .
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Seema sells two cookers for Rs.2574 each. On one she gains 10% and on the other she loses 10%.Find her gain or loss percent in the whole transaction.
Answers
Answer:
18.18%
Step-by-step explanation:
Selling price of one coker = Rs.2574
If she loose 10% on one;
%loss = Cost price - Selliing price/cost price * 100
10 =Cp-2574/Cp * 100
10/100 = Cp-2574/Cp
0.1Cp = Cp-2574
0.1Cp - Cp = -2574
-0.9Cp = -2574
Cp = 2574/0.9
Cp = Rs. 2860
Amount lost = 2860-2574 = Rs. 286
If she gains 10% on the second
%loss =Sp-Cp/Cp * 100
10 = 2574-Cp /Cp * 100
10/100 = 2574-Cp /Cp
0.1Cp = 2574-Cp
1.1Cp = 2574
Cp = 2574/1.1
Cp = Rs. 2340
Amount gained = 2340-2574 = Rs. 234
Total Loss = Amount lost - Amount gained
Total loss = 286 - 234
Total loss = Rs. 52
Total loss % = 52/286 * 100
Total loss % = 5200/286
Total loss % = 18.18%
Which equation represents the vertex form of the equation y = x2 + 2x - 6?
Answers
Answer:
y=(x+1)^2-7
Step-by-step explanation:
y=x^2+2x-6=x^2+2x+1-7
y=(x^2+2*1*x+1^2)-7
y=(x+1)^2-7
vertex form equation is y=a(x-h)^2+k
of equation y=ax^2+by+c
so a is 1
h is -1 because (x+1)=(x-(-1))
k is -7
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 9 months. Find the probability that a random sample of 31 smoke detectors will have a mean lifetime between 57 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to four decimal places and intermediate : value calculations to two decimal places. P (57 < X < 62) = ___
Answers
Answer:
Step-by-step explanation:
credits to numerade
I need help with this quick
Answers
Answer:
y = -1/4x + 1
Step-by-step explanation:
y = mx +b
m = rise/run
m = 2/-8
m = -1/4
b = 1
y = -1/4x + 1
When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64
Answers
The value of the constant of variation is one-fourth. Then the correct option is A.
What is the constant of variation?The term "constant of variation" refers to the fact that the relationship between variables remains constant.
The formula will be
y = kx
where k is the variation constant.
When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be
n = kgf
Then the value of k will be
4 = (2)(8)k
k = 1/4
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Answer:
Keep it simple. Answer: A
Step-by-step explanation:
Expand 4(-2x - 3)
Factorise 5n + 15
シ︎❤︎✰✌︎
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Have a great day...
There are 20 people in a room. 4 of them are people you know. When 2 people are selected at random at the same time, what is the probability that at least one of them is someone you know?
(this is a basic question but its 4am, my brain isnt working properly)
Answers
Answer:
4/20=1/5 or 20% or 0.2
Step-by-step explanation:
if u write 4/20 simplify it which becomes 1/5
u can write in percentage or in decimal depending on what the question wants
In which interval does a root exist for this equation? tan(x) = 3x^2
PLEASE HELP
Answers
To determine the interval for which a root exists, you can use the intermediate value theorem.
First, observe that the left-hand side of the equation, tan(x), is undefined for x = (n + 1/2) π, where n is an integer. Thus, we can restrict our attention to the interval (-π/2, π/2) where the tangent function is continuous and strictly increasing.
Next, note that tan(0) = 0 and tan(π/6) = 1/√3 < 3/36 = 1/12. Also, as x approaches π/2 from the left, tan(x) approaches infinity, while 3x^2 approaches infinity faster. Therefore, there exists at least one root of the equation in the interval (0, π/6).
Similarly, tan(-π/6) = -1/√3 > -1/12, and as x approaches -π/2 from the right, tan(x) approaches negative infinity, while 3x^2 approaches infinity faster. Therefore, there exists at least one root of the equation in the interval (-π/6, 0).
Therefore, the equation tan(x) = 3x^2 has at least one root in the interval (-π/6, π/6).
tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book
Answers
The number of pages that are in the book is 1 31/45 pages.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.
The fraction for pages will be:
= 2/15 + 2/9 + 1/3 + 3/4 + 1/4
= 2/15 + 5/9 + 1
= 6 / 45 + 25/45 + 1.
= 1 31/45
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Complete question
tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answers
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Which of the following cases could be solved by using the the Law of Cosines? SAA SSA SAS AAA SSS ASA
Answers
The Law of Cosines can be used to solve the following cases: SAS (Side-Angle-Side) and SSS (Side-Side-Side).
It is not applicable for the cases of SAA (Side-Angle-Angle), SSA (Side-Side-Angle), AAA (Angle-Angle-Angle), or ASA (Angle-Side-Angle).
SAS (Side-Angle-Side): In this case, if we know the lengths of two sides and the measure of the included angle, we can use the Law of Cosines to find the length of the third side or the measures of the remaining angles.
SSS (Side-Side-Side): While the Law of Cosines can be used to solve a triangle with three known side lengths, it is not the preferred method. The Law of Cosines is often used in combination with the Law of Sines to solve SSS triangles.
SAA (Side-Angle-Angle): The Law of Cosines cannot be used to solve this case, as it only involves two side lengths and an angle measurement.
SSA (Side-Side-Angle): The Law of Cosines is not applicable in this case, as it requires two side lengths and an angle measurement, but the given information does not include an angle opposite to one of the sides.
AAA (Angle-Angle-Angle): The Law of Cosines cannot be used to solve this case because it only involves angle measurements and does not provide any side lengths.
ASA (Angle-Side-Angle): The Law of Cosines is not suitable for this case since it requires two angle measurements and one side length, but the given information does not include the necessary side length.
Therefore, the cases that can be solved using the Law of Cosines are SAS and SSS.
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2. A dog breeder's pricing model includes a per puppy charge along with a fired service fee. A litter with
puppies costs $172 and a litter with 10 puppies costs $220 Write an equation that could be used to
calculate the cost. C of taking care or a litter with an member of puppies. p.
Answers
The linear function that models the situation is given by:
\(C(p) = 100 + 12p\)
------------------------
A linear function for the cost C of taking care of p puppies has the following format:
\(C(p) = C(0) + ap\)
In which:
C(0) is the fixed cost.a is the slope, which is the cost per puppy.------------------------
With 6 puppies, it costs $172. With 10 puppies, it costs $220. The slope is given by the change in the output(cost) divided by the change in the input(number of puppies), thus:\(a = \frac{220 - 172}{10 - 6} = 12\)
Thus:
\(C(p) = C(0) + 12p\)
------------------------
The cost of $172 with 6 puppies means that when p = 6, C = 172, and we use this to find C(0).
\(C(p) = C(0) + 12p\)
\(172 = C(0) + 12(6)\)
\(C(0) = 172 - 72\)
\(C(0) = 100\)
Thus, the linear model is:
\(C(p) = 100 + 12p\)
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It cost $34 rent a PlayStation 4 for the week each game rental cost $10 written expression to represent the total cost of renting a PS4 and some games for the week then evaluate the expression if you were to rent four games games
Answers
34+10x
if they were to rent 4 games then the total cost would be 74
34+10(4)
34+40= 74
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answers
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
A function is a relation in which every input has exactly one output
Which choice represents a function
Answers
A function is a relation where each input value (x) corresponds to exactly one output value (y). In other words, for every x-value, there should be only one y-value associated with it.
Let's consider some examples to determine which choice represents a function: The set of ordered pairs {(1, 2), (2, 4), (3, 6)}: This is a function since each input (x) has a unique output (y). For example, when x = 1, y = 2, and there are no other inputs with the same output. The set of ordered pairs {(1, 3), (2, 5), (1, 4)}: This is not a function because the input x = 1 has two different output values, y = 3 and y = 4. A function requires each input to have only one corresponding output. The equation y = x^2: This is a function because for every x-value, there is a unique y-value. No two x-values have the same y-value.
Based on these examples, the choice that represents a function is the first example: the set of ordered pairs {(1, 2), (2, 4), (3, 6)}.
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Please help. Prove quadrilateral WXYZ, having vertices W(-5, 6), X(-1, 10), Y(1, 4), and Z(-2, -3) is a trapezoid.
I need help writing a 2 column proof
Answers
The proof that quadrilateral WXYZ, having vertices W(-5, 6), X(-1, 10), Y(1, 4), and Z(-2, -3) is a trapezoid is given below.
What is a mathematical proof?Mathematical proof is a set of logical statements that are sequentially indicated to guaranty that a stated position is indeed accurate.
What is the proof for the quadrilateral above?It is to be noted that with parallelograms, the diagonals intersect at the midpoints. (See the attached image).
The Diagonals are WY and XZ; Where
WY : (-4, -3) to (6, -2); and
Midpoint is [ (0 + 2)/2 , (-1 + -4)/2 ]
= (1, -5/2)
The diagonals are bisectors of each other.
It is to be noted that the diagonals are not congruent. For if they were congruent, then the above would not be a trapezoid.
The Length of WY = √((-4 - 6)² + (-3 - (-2))²)
WY = √(100 + 1)
WY = √101
The Length of XZ = √((0 - 2)² + ( -1 - -4)²)
XZ = √(4+9)
XZ = √13
From the above, it is clear that both diagonals are unequal. Hence, given the first and second proof, we can state that quadrilateral WXYZ is a Trapezoid.
QED
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Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett is Max?
Answers
Answer:
Max is 9 feet above Brett.
Step-by-step explanation:
If you subtract how far Max is below the surface to how far Brett is below the surface you find the difference of how much more above Brett Max is.
This would be the mathematical process:
34-25=9
Max is 9 feet above Brett.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a 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 the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Brett is 34 feet below the surface and Max is 25 feet below the surface.
Max is more than twice as deep below the surface as Brett,
Thus we can determine this difference by subtracting Max's depth from Brett's.
The mathematical solution would be as follows:
⇒ 34 - 25
⇒ 9
Hence, Max is 9 feet above Brett.
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Yuki bought a pound of confetti for \$12$12dollar sign, 12. What is the price, in dollars, per ounce of confetti
Answers
Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.
Answers
The value of Erica's investment after 6 years is approximately $4,939.05.
To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:
A = P\((1 + r/n)^(nt)\)
Where:
A is the final amount or value of the investment.
P is the initial principal or investment amount.
r is the annual interest rate (as a decimal).
n is the number of times the interest is compounded per year.
t is the number of years.
In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:
P = $4000
r = 0.04
n = 1 (since the interest is compounded annually)
t = 6 years
Plugging these values into the compound interest formula, we can calculate the final value of the investment:
A = $4000(1 + \(0.04/1)^(1*6)\)
A = $4000(1 + 0.04)^6
A = $4000(1.04)^6
Evaluating this expression, we find:
A ≈ $4,939.05
Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.
This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.
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Solve the following initial value problem. y2 – 8y + 12, y(0) = 3 dx
Answers
The solution of the initial value problem is y= 3e2x - c2e2x +c2e6x.
Given y2 – 8y + 12, y(0) = 3
y2 – 8y + 12 = 0
The above equation is a quadratic equation, let us factorize it.
(y - 6)(y - 2) = 0y = 6 or y = 2
Therefore, the general solution of the differential equation isy = c1e2x + c2e6x............(1)
Now, let us apply the initial condition y(0) = 3 in the above general solution to find the value of c1 and c2.
y(0) = c1e2(0) + c2e6(0)3 = c1 + c2
On solving, we getc1 + c2 = 3c1 = 3 - c2
Substitute the value of c1 in equation (1)
y = (3 - c2)e2x + c2e6x = 3e2x - c2e2x + c2e6x...........(2)
The above equation is the required solution of the given initial value problem.
Therefore, the solution of the given initial value problem is
y = 3e2x - c2e2x + c2e6x.
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can someone help with my homework? Thank you !
Answers
Answer:
1000-0=1/2(2000-0)
y= 1/2x
-1x + 2y = 0
4/5-1/3
What is the answer
Answers
Answer:
7/15
Step-by-step explanation:
yeah
Answer:
7/15
Step-by-step explanation:
4/5-1/3 = \(\frac{3.4 - 5}{15}\) = 7/15
What is the maximum number of possible solutions for the system shown below? 3x2 + y2 = 64 x2 + y = 10 A. 1 B. 3 O c. 2 D. 4
Answers
The standard form of an equation of a circle is,
\((x-h)^2+(y-k)^2=r^2\)Where
(h, k) is the center
r is the radius
The first equation is that of a circle.
Now,
The second equation is,
\(\begin{gathered} x^2+y=10 \\ y=-x^2+10 \end{gathered}\)This is an equation of a parabola (quadratic).
When a circle and parabola intersect (solution point), there can be maximum 4 solutions, or 4 intersecting points.
The graphs of the two equations are shown:
find the volume of the prism
Answers
Answer: 4,218,750
Step by explanation: