The quotient of the given division is 0.4082, under the condition that dividend is 4.082 and divisor is 10,000.
The count of zeros in 10,000 is 4, then we have to transfer the decimal point four places to the left to divide by 10,000. Here, we have to relie on the basic principles involved in division.
Then, in order to find the quotient of 4.082 and 10,000, we have to divide 4.082 by 10,000. To perform this, we expand the number by moving the decimal point forward of 4.082.
That is,
\( \frac{4.082 }{10000} \)
= 0.4082
The quotient is 0.4082
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Determine the solution for the following equation: x = 3 x = 5 x = 13 x = 65
The solution for the equation is x = 65.
What is equation?Equation is a physical and mathematical statement that describing physical sonoma nadigai the relationship between different physical quantity typically consist of pramod variable richard simple representing physical quantity and then it personal variable maybe point it such as that your energy.
This can be determined by solving the equation for x one step at a time.
First, 3 = 5 can be solved by subtracting 3 from both sides,
thus yielding
x = 2.
Then,
5 = 13 can be solved by subtracting 5 from both sides,
thus yielding
x = 8.
Finally,
13 = 65 can be solved by subtracting 13 from both sides,
thus yielding
x = 65. This is the final answer to the equation.
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Answer:
its x=3
Step-by-step explanation:
first x 2/3 to both sides than solve for x
A right triangle has a hypotenuse of length 3.80 m, and one of its angles is 31.0°. What are the lengths of the following sides?
Answer:
• (a)The length of the side opposite 31.0° is 1.96 meters.
,• (b)The length of the side adjacent 31.0° is 3.26 meters.
Explanation:
In the right triangle:
• The length of the hypotenuse = 3.80 m
,• Let the side ,opposite ,angle 31.0° = x
• Let the side ,adjacent ,angle 31.0° = y
(a)
From trigonometric ratios:
\(\begin{gathered} \sin\theta=\frac{Opposite}{Hypotenuse} \\ \implies\sin31.0\degree=\frac{x}{3.80} \end{gathered}\)Cross multiply:
\(\begin{gathered} x=3.80\times\sin31.0\degree \\ x=1.9571 \\ x\approx1.96\;m \end{gathered}\)The length of the side opposite 31.0° is 1.96 meters.
(b)From trigonometric ratios:
\(\begin{gathered} \cos\theta=\frac{Adjacent}{Hypotenuse} \\ \implies\cos31.0\degree=\frac{y}{3.80} \end{gathered}\)Cross multiply:
\(\begin{gathered} y=3.80\times\cos31.0\degree \\ y=3.2572 \\ y\approx3.26\;m \end{gathered}\)The length of the side adjacent 31.0° is 3.26 meters.
"John is 3 years older than Mary. Five years ago he was four times as old as Mary was then. How old is John?"
Answer:
9 years old
look at the comment section.
The age of john is 9 years.
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
John is 3 years older than Mary.
Five years ago he was four times as old as Mary was then.
let the age of mary be x
John's age= x+ 3
Five years age,
Mary's age= x-5
john's age = x-2
So,
x-2= 4( x-5)
x- 2 = 4x- 20
-3x= -18
x=3
Hence, john's age= 9 years
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Using the substitution method, find the solution to this system of equations. Be sure to show your work!
-2x+2y=7
-x+y=4
please show a breakdown of the equation and a correct answer! thanks.
Answer:
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.
-x + y = 4
y = x + 4
Now we can substitute this expression for y into the first equation and solve for x.
-2x + 2(x + 4) = 7
-2x + 2x + 8 = 7
8 = 7
The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.
Therefore, the solution to the system of equations is "No solution."
Note: Please be sure to double-check your work to avoid mistakes.
Step-by-step explanation:
Hope this helps you!! Have a wonderful day/night!!
Find the volume of the cone
Help
Answer:
37.699 or 12pi
Step-by-step explanation:
Answer:
12π
Step-by-step explanation:
0.904 subtract 0.1 anyone help me pls i just haven’t figured it out
Answer:
0.804
Step-by-step explanation:
First, we can express 0.1 as 0.100 for easier subtraction.
Then, we can subtract 0.100 from 0.904.
0.904 - 0.100 = 0.804.
Note: You can use the traditional subtracting method to get the answer too.
isaac wants to buy a silver coat rack. The original price is $880, 20% off. What is the sale price?
Answer:
idon know the first point
Simplify the expression 7g+ 4p - 3g - 9p
Step-by-step explanation:
7g+4p-3g-9p
7g-3g+4p-9p
g(7-3)+p(4-9)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
plss solve this having big trouble will give brainiest n 55points
Considering that a transversal line cuts two parallel lines, the relations between the angles are given as follows:
1. Corresponding angles.
2. Alternate exterior angles.
3. Consecutive interior angles.
What is the relationship between angles 1 and 3?Angles 1 and 3 are corresponding angles, as they are both at the same position relative to their lines, j for angle 1 and m for angle 3, being cut by the transversal line t.
What is the relationship between angles 8 and 4?Angles 4 and 8 are alternate exterior angles, as:
Angle 4 is to the left of the transversal line t and below it's line m.Angle 8 is to the right of the transversal line t and above it's line m.Inverse positions in both senses, left/right and up/down, hence alternate exterior angles.
What is the relationship between angles 2 and 3?Angles 2 and 3 form a supplementary pair inside the same region, between the two lines being cut by the transversal, hence they are consecutive interior angles.
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Please answer quickly
If you can please explain how to do it
Find 9 - (-2). The difference is
Answer:
11
Step-by-step explanation:
PLS HELP!!
Solve for a side in right triangles
BC = ???
round your answer to the nearest hundredth
Answer:
39 centimeters
Step-by-step explanation:
I am very sorry if I'm wrong! ✿✿✿
What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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pls help me do this ty :)
Answer:
a=b b=me me = You me +you =
What is the next term of the geometric sequence 3 12 48
Answer:
192
Step-by-step explanation:
we draw a card from an ordinary deck of 52 cards. we define e as the event that the card is a queen and f as the event that the card is a heart. are e and f independent?
The event that the card is a queen, denoted as e, and the event that the card is a heart, denoted by f, are not independent.
Independent events are events where the occurrence or outcome of one event does not affect or influence the occurrence or outcome of another event. In other words, the outcome of one event has no effect on the probability of the other event happening. For example, flipping a coin and rolling a dice are independent events, because the outcome of one event (e.g., heads on a coin flip) does not affect the outcome of the other event (e.g., rolling a six on a dice).
The event "the card is a queen" reduces the number of cards in the deck, while the event "the card is a heart" also reduces the number of cards in the deck. The intersection of these two events, "the card is a queen of hearts," is a smaller set of cards than either event individually, so these events are dependent.
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If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.
Solving the QuestionWe're given:
Function g has factors (x-7) and (x+6)Therefore, the zeros of the function are 7 and -6.
Answer-6, 7
The zeroes of the function will be equal to ( 7, -6 ).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
( x- 7 ) ( x+ 6 )As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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The mean weight of loaves of bread pro- duced at the bakery where you work is supposed to be l pou nd. You are the supervisor of quality control at the bakery, and you are concerned that producing loaves that are too light. Suppose you weigh an SRS of br is0975 pound. new employees are ate appropriate hypotheses for performing a sigticance test. Be sure to de fine the parameter of interest.
b. Explai in why there is some evidence for the alternative hypothesis. The Pvalue for the test in part (a is 00806. nterpret 25. Aw the Psalue fir 0.01 Iconclusion would you make at the α nce leveli?
Appropriate hypotheses for performing a significance test: Null hypothesis: The mean weight of loaves of bread produced at the bakery is equal to 1 pound. Alternative hypothesis: The mean weight of loaves of bread produced at the bakery is less than 1 pound.
Parameter of interest: The mean weight of loaves of bread produced at the bakery.b. There is some evidence for the alternative hypothesis since the p-value is 0.00806, which is less than the level of significance of 0.01. This means that the results are statistically significant, and it is unlikely to get this result due to chance alone.c. At the α level of 0.01, the conclusion would be to reject the null hypothesis since the p-value is less than the level of significance.
This means that there is sufficient evidence to support the alternative hypothesis, which is that the mean weight of loaves of bread produced at the bakery is less than 1 pound. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.
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add 7.5m, 2.25 and 50cm and give results in metres
The sum of the three values is 10.25 meters.
Here, we are given three measurements- 7.5m, 2.25m and 50cm
Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.
7.5 and 2.25 are already in meters so we do not need to covert them.
We only need to convert 50 centimeters.
As per mathematical conversions,
1 meter = 100 centimeters
This means that 50 centimeters will be,
100/2 centimeters = 1/2 meters
⇒ 50 centimeters = 0.5 meters
Now, we add all the given numbers,
= 7.5 + 2.25 + 0.5
= 9.75 + 0.5
= 10.25
Thus, the sum is 10.25 meters.
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help me please im not sure how to do this problem
Answer:
If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.
42^2 = (18 + x)(18)
1,764 = 18(x + 18)
x + 18 = 98
x = 80
So the diameter of the reservoir is 80 meters.
The diameter of the reservoir shown above can be calculated based on the intersecting secant-tangent theorem as: 80 meters.
What is a Diameter?A diameter is a straight line segment that crosses the center of a circle thereby connecting two points on its circumference and it is twice the length of the radius of a circle.
To find the diameter (x), apply the intersecting secant-tangent theorem which states that:
AB² = AC(x + CA)
Substitute:
42² = 18(x + 18)
1,764 = 18x + 324
1,764 - 324 = 18x
1,440 = 18x
1,440/18 = x
x = 80 meters.
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(2x²+4-5x)-(-8x+2+x²) is a what kind of polynomial
Answer:
The degree of the polynomial is the greatest of its various terms' exponents (powers). This is a seconds degree polynomial.
Step-by-step explanation:
2x^2 - 3x^5 + 5x^6.
We observe that the above polynomial has three terms. Here the first term is 2x^2, the second term is -3x^5 and the third term is 5x^6.
Now we will determine the exponent of each term.
(i) the exponent of the first term 2x^2 = 2
(ii) the exponent of the second term 3x^5 = 5
(iii) the exponent of the third term 5x^6 = 6
Since the greatest exponent is 6, the degree of 2x^2 - 3x^5 + 5x^6 is also 6.
Therefore, the degree of the polynomial 2x^2 - 3x^5 + 5x^6 = 6.
Easy peasy, hope you understand now.
find an equation of the plane through the point and perpendicular to the line
To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:
1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".
2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".
3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).
The equation of the plane can be written as:
Ax + By + Cz = D,
where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.
To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:
A(x₀) + B(y₀) + C(z₀) = D.
Therefore, the equation of the plane through the given point and perpendicular to the line is:
d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,
where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.
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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.
PLEASE HELP!!
1.17−0.07a+(−3.92a) = ?
Simplify the equation.
Answer:
I think it's 1.17 - -3.85
Ariel bought several bags of caramel candy and
several bags of taffy. The number of bags of
taffy was 5 more than the number of bags of
caramels. Taffy bags weigh 8 ounces each, and caramel bags weigh 16 ounces
each. The total weight of all the bags of candy was 400 ounces. How many
bags of candy did she buy?
Answer:
8t+16c=400
Step-by-step explanation:
If it's correct can I have a Brainliest
She buy 15 bags of candy.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that the number of bags of taffy was 5 more than the number of bags of caramels.
The Taffy bags weigh 8 ounces each, and caramel bags weigh 16 ounces each.
The total weight of the bags of candy was 400 ounces.
Consider c be the total number of carmel candy bags and t the total number of taffy bags that Ariel bought.
t = 5 + c
Then, we have:
8t + 16c = 400
8(5 + c) + 16c = 400
40 + 8c + 16c = 400
24c = 360
c = 15.
Hence, she buy 15 bags of candy.
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Simplify: 5x2 +7y -6z, 4y + 3x2
, 9x2 +2z2
, 2z2
– 9y, 2y – 2x2
Answer:
Step-by-step explanation:
i don't know
If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750
Answer:
\(\boxed {\boxed {\sf 250 \ people}}\)
Step-by-step explanation:
Let's set up a proportion using the following setup.
\(\frac {buses}{people}=\frac {buses}{people}\)
We know 30 buses can carry 1,500 people.
\(\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}\)
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
\(\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}\)
\(\frac {30 }{1500 }=\frac {5 }{x }\)
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
\(30*x=1500*5\\30x=7500\)
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
\(30x/30=7500\\x=250\)
5 buses can carry 250 people.
Edna buys a bottle of dog shampoo that costs 3.99$. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: $0.14 per ounce
Step-by-step explanation:
There are 28.5 ounces of shampoo in the shampoo bottle and the cost of the whole bottle is $3.99.
The cost per ounces will therefore be:
= Cost of bottle / Number of ounces
= 3.99 / 28.5
= $0.14 per ounce
give all possible values of l for a 2 sublevel. a) 2 b) -1/2 c) 0, 1 d) -1, 0, 1 e) 1, 2
The possible values of l for a 2 sublevel, ranging from -2 to 2 .
For a 2 sublevel, the possible values of the orbital angular momentum quantum number, l, can be determined using the selection rule:
l = -ℓ, -ℓ + 1, ..., ℓ - 1, ℓ,
where ℓ is the principal quantum number.
In this case, the principal quantum number is 2. Therefore, the possible values of l are:
-ℓ = -2
-ℓ + 1 = -1
-ℓ + 2 = 0
ℓ - 1 = 1
ℓ = 2
The possible values of l are: -2, -1 , 0 , 1 , 2
Each of these options includes the possible values of l for a 2 sublevel, ranging from -2 to 2 .
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Solve the expression 9 + (20 x one fourth) − 6 ÷ 2 using PEMDAS.
Answer: B
Step-by-step explanation:
I did the test