Answer:
86
Step-by-step explanation:
Answer: the answer is 86
Step-by-step explanation:
HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE
Answer:
The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is 9,000 x 57,000 = 513,000,000
Step-by-step explanation:
what is multiplying polynomials calculator?
A multiplying polynomials calculator is a tool used to multiply two or more polynomials together.
A multiplying polynomials calculator is a tool used to multiply two or more polynomials together. It can be helpful for simplifying algebraic expressions, solving equations, and performing various calculations in mathematics and engineering.
The calculator takes the coefficients of each polynomial as input and uses the distributive property to multiply the terms of each polynomial together. It then combines like terms and arranges the result in descending order of degrees. Multiplying polynomials can be a tedious and error-prone process, especially for large polynomials, so using a calculator can save time and reduce the chances of errors. The multiplying polynomials calculator is commonly used by students, teachers, engineers, and anyone working with algebraic expressions.
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uppose v,w∈r3are orthogonal unit vectors. let u=v×w. show that w=u×v and v=w×u.
To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.
Given that u = v × w, let's calculate the cross product of w and u:
w × u = (u × v) × u
Since the cross product is not associative, we need to use the vector triple product identity:
w × u = u × (v × u) - (u · u) v
Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:
w × u = u × (v × u)
Next, let's calculate the cross product of v and u:
v × u = (u × v) × v
Using the vector triple product identity:
v × u = v × (u × v) + (v · v) u
Again, since u is orthogonal to v, the dot product (v · v) is zero:
v × u = v × (u × v)
Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.
In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.
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Simplify: 3.2/0.4 •2• 0.4/0.1
option 1) 64
option 2) 16
option 3) 6.4
option 4) 1.6
Answer:
1
Step-by-step explanation:
3.2/0.4=8
8×2=16
16×0.4=6.4
6.4÷0.1=64
Find the exact acute angle 0 for the given function value. tan 0 = √3 0- (Type your answer in degrees.)
So, the exact acute angle 0 for the given function value is 60°. Therefore, the answer is 60.
A function in mathematics seems to be a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a particular member in the second set (called the range). A function, in other words, receives input from one set and produces outputs from another.
The variable x has been frequently used to represent the inputs, and the changeable y is used to represent the outputs. A function can be represented by a formula or a graph. For example, the calculation y = 2x + 1 represents a functional form in which each value of x yields a distinct value of y.
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The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many times bigger than Colorado is the Indian Ocean?
Answer:
270 times
Step-by-step explanation:
The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.
Consider the equation x = rx+x', where r>0 is fixed. Show that x(t) — to in finite time, starting from any initial condition x = 0.
The solution x(t) of the equation x = rx + x', where r > 0 is fixed, approaches infinity in finite time starting from any initial condition x = 0.
We can solve the differential equation x' = rx + x using separation of variables. Rearranging the equation, we get:
x' - rx = x
This is a linear first-order differential equation with integrating factor e^(-rt). Multiplying both sides by e^(-rt), we obtain:
e^(-rt)x' - re^(-rt)x = e^(-rt)x
Using the product rule for derivatives, the left-hand side becomes:
(d/dt)[e^(-rt)x] = e^(-rt)x'
Substituting this into the equation, we get:
(d/dt)[e^(-rt)x] = e^(-rt)x
This equation can be integrated to obtain:
e^(-rt)x = C
where C is a constant of integration. Solving for x, we get:
x = Ce^(rt)
Since r > 0, the exponential function e^(rt) grows without bound as t approaches infinity. Therefore, the solution x(t) of the differential equation also grows without bound in finite time starting from any initial condition x = 0. This means that x(t) approaches infinity as t approaches a certain finite value, which depends on the value of r.
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A circle has a diameter of 10 centimeters. If a sector with a central angle of 50 degrees is cut out, what is the area of this sector?
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
its 34
Step-by-step explanation:
its half of the center angles
help pls do not delte my anwser i really need help
Answer:
2.False
3.True
4.True
5.False
6.False
7.False
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 9x-3y=-54
Answer:
21
Step-by-step explanation:
subtract 9 on both sides to make your x axis by itself
y=mx+b
since -3y and -63 will cancel out each other and make a positive when you divide
-3y /63
y=21
also your when the x is alone it is always 1
rise
-------
run
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??
The lifetime (in hours) of an electronic component is a random variable with density function given by
\(f(y)=\left\{\begin{array}{ll}
\frac{1}{100} e^{-y / 100}, & y>0, \
0, & \text { elsewhere. }
\end{array}\right.
\)
Three of these components operate independently in a piece of equipment. The equipment fails if at least two of the components fail. Find the probability that the equipment will operate for at least 200 hours without failure.
The probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).
Given:
mean = 1/100
Let X = the number of components that fail before 200 hours . The X has a binomial distribution n = 3 and p = 1 – e^-2.
probability p = 3/2\(p^{2} (1-p)\) + 3/3 \(p^{3}\).
= 3(\(1-e^-2)^2\)\(e^-2\) + (\(1-e^-2)^3\)
= \((1-e^-^2)^2[3e^-^2 - e^-^2+1]\)
= \((1-e^{-2} )^2[2e^-2+1]\)
Therefore the probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).
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The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
The formula A=6V23
relates the surface area A, in square units, of a cube to the volume V, in cubic units. What is the volume, in cubic inches, of a cube with surface area 486 in.2?
The calculated volume of the cube is 10714.1 cubic inches
How to calculate the volume of the cubeFrom the question, we have the following parameters that can be used in our computation:
\(A = V^{2/3}\)
Where
A = Surface area
V = Volume
From the question, we have
Surface area of 486
This means that
A = 486
So, we have
\(V^{2/3} = 486\)
Take the 3/2nd root of both sides
So, we have
V = 10714.1
Hence, the volume of the cube is 10714.1 cubic inches
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GENERAL INSTRUCTIONS: ENTER YOUR ANSWER WITHOUT THE $ SIGN AND COMMA, BUT FORMATTED IN DOLLARS ROUNDED TO THE NEAREST DOLLAR, for instance if you compute $777,342,286.6478 then ENTER 777342287 AS YOUR ANSWER. DO NOT ROUND IN YOUR CALCULATION STEPS (use calculator memory functions) TO AVOID ROUNDING ERRORS. There is a little bit of tolerance built into accepting/rejecting your answer, but if you round in your intermediate calculations you may be too far off.
Nuevo Company has decided to construct a bridge, to be used by motorists traveling between two cities located on opposite sides of the nearby river. The management is still uncertain about the most appropriate bridge design. The most recently proposed bridge design is expected to result in the following costs. The construction cost (first cost) is $9,000,000. Annual operating cost is projected at $700,000. Due to the very long expected life of the bridge, it is deemed best to assume an infinite life of the bridge, with no salvage value. Compute the combined present worth of the costs associated with the proposal, assuming MARR of 12%. Note: do not include negative sign with your answer
The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.
To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.
The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.
For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.
To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,
where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.
Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.
Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.
However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.
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a family sold a home for $425 000 and paid 6% commission.
a) how much was the commission?
b) how much did the family receive for the house?
c) what if the family had been able to pay only 5% commission. How much would the family have saved?
Answer:
Step-by-step explanation:
To do this take sale price, multiply it by the commission percentage, divide it by 100
BRAINLIEST!!!! PLZZZZ SEE BELOW!!!
Answer:
b. 0.25
Step-by-step explanation:
40 + 120 = 160
40 / 160
Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
I need help its a math question ( sorry i have nothing to put here and it wants me to put something)
Answer:
B. (2, 3)
General Formulas and Concepts:
Algebra I
Solving systems of equations using graphingStep-by-step explanation:
Step 1: Define system
y = x + 1
y = -1/2x + 4
Step 2: Identify Solution
The solution to the systems of equations when graphed will be where the 2 lines intersect. According to the graph, the 2 lines intersect at (2, 3).
The differential equation dP/dt = (k cos t)P, where k is a positive constant, is a mathematical model for a population P(t) that undergoes yearly seasonal fluctuations. Solve the equation subject to P(0) = P0. Use a graphing utility to graph the solution for different choices of P0..
The solution to the given differential equation dP/dt = (k cos t)P, subject to P(0) = P0, is P(t) = P0exp((k sin t) / k).
To solve the differential equation, we can separate variables and integrate both sides:
1/P dP/dt = k cos t
∫ 1/P dP = ∫ k cos t dt
ln |P| = k sin t + C
|P| = e^(k sin t + C) = e^C e^(k sin t)
Since P(0) = P0, we have |P0| = e^C, so C = ln |P0|
Therefore, the solution to the differential equation is P(t) = P0exp((k sin t) / k).
To graph the solution for different choices of P0, we can use a graphing utility such as Desmos. We can choose different values of P0 and plot P(t) for t ranging from 0 to 2π (one year). As P0 increases, the amplitude of the seasonal fluctuations in the population also increases.
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(2 x 106) x (0.00009) = ?
Calculate the product above and give your answer in scientific notation.
I think you meant to write
(2 × 10⁶) × 0.00009
First, convert 0.00009 to scientific notation:
0.00009 = 9 × 10 ⁻⁵
Then
(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)
… = (2 × 9) × (10⁶ × 10 ⁻⁵)
… = 18 × 10¹
… = 1.8 × 10²
according to statistics reported on cnbc, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the cnbc report, showed 46 out of 200 vehicles were not covered by insurance. Develop a 95% confidence interval for the population proportion
The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.
How to find the confidence interval for a population proportion?The confidence interval for a population proportion is calculated by the formula,
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
Where \(\bar{p}\) is the sample proportion and α is the level of significance.
Calculation:It is given that,
The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are
The sample size n = 200;
The number of successes = 46
So, the sample proportion \(\bar{p}\) = 46/200 = 0.23
For a 95% confidence interval, the level of significance is
α = 1 - 95/100 = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Then, the z-score for the value 0.025 is
\(z_{\alpha/2}\) = 1.96 (from the table)
Thus, the confidence interval is
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)
⇒ C.I = 0.23 ± 1.96 × 0.0298
⇒ C.I = 0.23 ± 0.0584
So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.
Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.
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Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
Find the area of the shape shown below
Answer:
12 units squared
Step-by-step explanation:
You need to find the area of each individual shape, and then add them together. The area of the square is 4 units squared. The triangle on the left is two units squared (base times height, divided by two,) and the area of the triangle on the left is 6. Add them all together, and you get 12 units squared.
Answer:
24
area is round the outside times them together and you will get the inside
I need help with 6 and 7
Answer:
Step-by-step explanation:
6):
Take the small right triangle with the sides 25 and 7.
☆ The Pythagorian theorem ☆
Let x be the third side.
● 25^2 = x^2 + 7^2
Substract 7^2 from both sides
● 25^2 -7^2 = x^2 +7^2 -7^2
● x^2 = 25^2 -7^2
● x^2 = 576
● x = 24 inches
The third that we find is the half of the side of the square.
Multiply it by 2 and get the side of the square.
● 24 × 2 = 48 inches
The perimeter of the square is the side times 4.
● P = 48 × 4
● P = 192 inches
■■■■■■■■■■■■■■■■■■■■■■■■■■
7):
Both triangles are righr and they have a khown angle.
Start with the small one and calculte the third angle.
The sum of a triangle angles is 180°
Let B be the third angle.
● B = 180-(90+51) = 39°
That's equal to the second angle of the second's triangle.
So it's an AA similarity.
So:
● x/24 = 7/15
● x = (7/15)×24
● x = 11.2
Express the product of the following
binomials as a trinomial:
(x+5)(x+8)
Answer:
x^2+13x+40
Step-by-step explanation:
To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.
We have the binomials:
(x+5) and (x+8)
The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.
Multiply these values.
F (first): x and x
x*x= x^2
O (outside): x and 8
x*8=8x
I (Inside): x and 5
x*5=5x
L ( Last): 5 and 8
5*8=40
Now, add all the products together.
x^2+8x+5x+40
Combine like terms. In this case, the like terms are 8x and 5x.
x^2+13x+40
The final trinomial (three terms) is: x^2+13x+40
Which of the following expressions is correct?
-191 = 9
O 1-91 = -9
-1-91 = 1-91
1-91 = 191
Answer:
-1-91 = 1-91
Step-by-step explanation:
-92= -92
Mrs. Habib has 46.25 feet of border for a bulletin board for her classroom. the board is 37.5 feet tall and 8.3 feet wide. how many feet of border will Mrs habib have left after she puts border around the board?
It’s not 22.15 I’ve tried.
Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is \(P=2(l+w)\), where \(l=\) the length of the board, and \(w=\) the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:
\(P=2(8.25+3.75)\)
Now you can just solve for the perimeter.
\(P=2(12)\)
\(P=24\)
The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
\(46.25-24=22.25\)
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
8.35x - 1.5 = 71.98
(a) 8.6
(b) 8.8
(c) 9
(d) 10.3
El -1,5 qlero pasaría al otro lado positivo
8.35x = 71.98 + 1.5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Ahora, se suma 71.98 + 1.5 = 73,48
8.35x = 73,48 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo
x = 73,48 ÷ 8.35 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Dividimos
x = 8,8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (b) 8,8 es la opción correcta