The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs). The answer will be 0.9+0.06+0.004= 0.964
What are mathematical operations?Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative integers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. The set that the values created are contained in is known as the codomain, while the set that the operation really produced is known as the codomain of definition, active codomain, image, or range. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.
A scalar can be multiplied by a vector to create another vector (a process known as scalar multiplication), and two vectors can be combined to make a scalar quantity in an inner product operation. An operation may or may not have specific characteristics, such as being idempotent, associative, commutative, or anticommutative.
The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs).
9x1/10+6x1/100+4x1/1000
0.9+0.06+0.004= 0.964
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A store sells two sizes of fresh wreaths. An 18-inch wreath costs $20, and a 22-inch wreath costs $30. In one day, the number of 22-inch wreaths sold was four more than five times the number of 18-inch wreaths, for a total of $1310. How many of each were sold?
Mar GE How many pairs of whole numbers have a sum of 40? many pairs of whole numbers
The pairs of whole numbers which have 40 as a sum is 21
What is Whole numbers ?
All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.
For finding the term we use Arithmetic Progression which is :
a(n) = a + (n - 1)d
where,
a(n) = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
Given,
The first term a₁ = 0
The common difference d = 1 (from 1 - 0, 2 - 1, etc.)
The last term aₙ = 20
Putting the values in the formula we get,
20 = 0 + (n - 1)1
20 = 0 + n- 1
20 + 1 = n
21 = n
Hence, there are 21 pairs of whole numbers that have a sum of 40
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Write - 3 1/4 - 8 1/8 as an addition problem.
Answer:
I don't understand what you mean
On the axes below,sketch two full cycles of your chosen riders Ferris wheel. Adrianes Ferris wheel goes from 10 feet above the ground to a maximum height of 210 feet and completes one revolution every 90 seconds.
ANSWER
EXPLANATION
First, we have to draw horizontal lines at the minimum and maximum heights. These are 10 feet and 210 feet, respectively.
Then, we calculate the midline,
[tex]y_m=\frac{210ft+10ft}{2}=\frac{220ft}{2}=110ft[/tex]And we have to draw this line too.
As mentioned, the period is the time it takes to do one revolution, which this wheel makes in 90 seconds. Thus, the period is 90 seconds and the first cycle starts at t = 0 and ends at t = 90 s,
Then, we know that the graph is sinusoidal, so we have to draw the first cycle - note that if the period is 90 s, the graph must intersect the midline at 45 seconds,
And finally, draw another cycle just like the first one.
if die us rolled once what is the probability of getting a number that is not 3
The rule of probability is
[tex]P(A)=\frac{A}{\text{total}}[/tex]Since the die has 6 numbers, then
The total = 6
Since there are 5 numbers without 3, then
A = 5
Substitute them in the rule above
[tex]P(\text{not}3)=\frac{5}{6}[/tex]The answer is 5/6
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $75.
The approximate percentage of buyers who paid between $1925 and $2075 is; 68%
The approximate percentage of buyers who paid between $1925 and $2000 is; 34%
How to Interpret Normal Distribution Graph?We are given;
Mean = $2000
Standard Deviation = $75
1) We want to find the approximate percentage of buyers who paid between $1925 and $2075
The formula that is used to calculate the z-score of a a normal distribution is;
z = (x' - μ)/σ
where;
z is z-score
x' is sample mean
μ is population mean
σ is standard deviation
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of2075;
z = (1925 - 2000)/75 = 1
Thus, this is 1 standard deviation from the mean.
Thus, this is a percentage of 68%
2) We want to find the approximate percentage of buyers who paid between $1925 and $2000?
For a payment of 1925;
z = (1925 - 2000)/75 = -1
For a payment of 2000;
z = (2000 - 2000)/75 = 0
This translates to a percentage of (1/2) * 68% = 34%
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Missing options are;
1) What is the approximate percentage of buyers who paid between $1925 and $2075?
2) What is the approximate percentage of buyers who paid between $1925 and $2000?
Suppose that events E and F are independent, P(E) = 0.25, and P(F) = 0.7. What is the P(E and F) ?
the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
We are given the two events:
E and F
We are also given that these events are independent events and:
P (E) = 0.25
P (F) = 0.7
We need to find:
P (E and F)
We know, that when two events are independent events that is they don't relate to each other, then P(E and F) is given by:
P(E and F) = P (E) × P (F)
P(E and F) = 0.25 × 0.7
P(E and F) = 0.175
Therefore, we get that, the value of P(E and F) is equal to 0.175 when E and F are independent events with P(E) = 0.25 and P(F) = 0.7.
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1. El rectángulo A mide 12 cm por 3 cm. El Rectángulo B es una copia a escala del Rectángulo A. Seleccione todos los pares de medidas que podrían tener las dimensiones del Rectángulo B.
A. 6 cm por 1,5 cm
B. 10 cm por 2 cm
C. 13 cm por 4 cm
D. 18 cm por 4,5 cm
E. 80 cm por 20 cm
2. El rectángulo A tiene 12 de largo y 8 de ancho. El rectángulo B tiene 15 de largo y 10 de ancho. El rectángulo C tiene 30 de largo y 15 de ancho.
una. ¿Es el Rectángulo A una copia a escala del Rectángulo B? Si es así, ¿cuál es el factor de escala?
b. ¿Es el Rectángulo B una copia a escala del Rectángulo A? Si es así, ¿cuál es el factor de escala?
C. Explica cómo sabes que el Rectángulo C no es una copia a escala del Rectángulo B.
d. ¿Es el Rectángulo A una copia a escala del Rectángulo C? Si es así, ¿cuál es el factor de escala?
1. The pairs of measurements that could have the dimensions of Rectangle B include:
A. 6cm by 1.5cm
D. 18cm by 4.5cm
E. 80cm by 20cm
2. Rectangle A is a scaled copy of rectangle B as the scale factor is 3:2.
Rectangle C isn't a scales factor of rectangle B since they have different ratio.
How to illustrate the information?1. It should be noted that from the information, Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A.
Therefore, it should be noted that the ratio will be:
= 12 / 3
= 4 / 1
= 4:1
Therefore, the values that will give same ratio will be:
6cm by 1.5cm = 6/1.5 = 4:1
18cm by 4.5cm = 18/4.5 = 4:1
80cm by 20cm = 80/20 = 4:1
In conclusion, the correct options are A, D, and E.
2. Rectangle A is 12 long and 8 wide. The ratio will be:
= 12/8 = 3/2 = 3:2.
Rectangle B is 15 long and 10 wide. The ratio will be:
= 15/10 = 3/2 = 3:2
Rectangle C is 30 long and 15 wide. The ratio will be:
= 30/15 = 2:1
Therefore, rectangle A and B have same scale.
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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all pairs of measurements that could have the dimensions of Rectangle B.
A. 6cm by 1.5cm
B. 10cm by 2cm
C. 13cm by 4cm
D. 18cm by 4.5cm
E. 80cm by 20cm
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( \frac{{x}^{2} - 4x + 5) }{2 \sqrt{x} } )}{x } [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ {x}^{2} - 4x + 5 }{ \sqrt{x} } [/tex]
We know, division rule of differentiation :
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{u}{v} [/tex]
then,
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{v\frac{du}{dx} - u \frac{dv}{dx} }{(v) {}^{2} } [/tex]
So, let's do the same in given equation :
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} \frac{d}{dx}(x {}^{2} - 4x + 5) - ( {x}^{2} - 4x + 5) \frac{d}{dx}( \sqrt{x} ) }{( \sqrt{x} ) {}^{2} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( {x}^{2} - 4x + 5) \frac{1}{2 \sqrt{x} } }{x } [/tex]
[ This is the required Answer, but you can simplify it however you want according to the choices given ]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{x \bigg( \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } \bigg)}{x } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{(2x - 4)}{ \sqrt{ x}} - \frac{( {x}^{2} - 4x + 5) }{2 \sqrt{x {}^{3} } }[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
When a number is added to 20 and 5 is subtracted from the number, their product is 150. Find the two possible numbers.
Answer:
24 ajsndkalxndma skwma wjlslaos ndnajala
solve for x 7x^2+49=0
Answer:
[tex]7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7[/tex]
NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION SINCE THE SQUARE OF ANY NUMBER CANNOT GIVE A NEGATIVE NUMBER.
THE SQUARE OF ANY NUMBER WHETHER IT'S POSITIVE OR NEGATIVE ALWAYS GIVES A POSITIVE NUMBER.
GOODLUCK!!
Helpppppppppppppppppppp!!!!
Given:
Diagram is given.
Measure of X and Y forms a linear pair of supplementary.
[tex]m\angle X+m\angle Y=180\degree[/tex]Complete the square for y=x^2 - 6x-5?
Answer: y=(x-3)^2 -14
Step-by-step explanation:
use the formula (b/2)^2 to create a new term to complete the square
Need help with this !!!!
y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
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Find the real number solution(s) to the polynomial function f(x) = (x + 9)(x − 5)(x + 7).
a
x = −5, 7, 9
b
x = −9, −7, 5
c
x = −280
d
x = 11
For the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
As given in the question,
Given polynomial function :
f(x) =(x+9)(x-5)(x+7)
Real number solutions for the given polynomial function
f(x) =(x+9)(x-5)(x+7)
Values for which f(x) =0
0= (x+9)(x-5)(x+7)
Equate all the value to zero we get,
⇒ (x+9) =0 , (x-5) =0 , (x+7) =0
⇒ x = -9 , 5, -7
For x= -9 , 5, -7 polynomial function f(x) =(x+9)(x-5)(x+7) value is equal to zero.
Therefore, for the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
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Determine whether each of these sets is countable or uncountable.
(a) all bit strings that is finite.
(b) all bit strings that is infinite
(c) the real numbers containing a finite number of 1s in their decimal
representation (reminder: the real numbers can contain a infinite
number of 2s or 3s)
(d) the real numbers containing only 1s in their decimal representation
Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.
Answer:
x = 8, y = 4
This can also be written as an ordered pair: (8, 4)
Step-by-step explanation:
First, set up a system of equations:
x + y = 12, $2x + $6y = $40
The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.
Then, solve by elimination by subtracting twice the first equation from the second to isolate y:
2x + 6y = 40
- (2x + 2y = 24)
0 + 4y = 16
And now we can solve for y:
4y = 16
y = 4
Then, put this back into the original equation to solve for x:
x + y = 12
x + 4 = 12
x = 8
Solve please please
Popular Problems Algebra Solve for h A=1/2h(b+B)
A = 1/2h (b+B)
h=2Ab+B
Explanation
Popular Problems Algebra Solve for h A=1/2h(b+B)
A= 1/2 h(b+B)
Rewrite the equation as
1/2⋅(h(b+B))=A.
1/2⋅(h(b+B))=A
Multiply both sides of the equation by 2.
2(1/2⋅(h(b+B)))=2A
hb+hB=2A
Factor h out of hb+hB.
h(b+B)=2A
Divide each term in h(b+B)=2A by b+B and simplify.
h=2Ab+B
How is algebra solved?
A General Rule for Equation Solving
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.To learn more about A=1/2h(b+B) refer to:
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In the figure below, Z is the center of the circle. Suppose that QR=14, ST=14, UZ=3x+5, and VZ=23. Find the following.
S
Z
W
R
X =
0
TV = 0
8 08
X
S
The value of x is given by 6 units and the value of TV is given by 7 units.
A circle may be defined as a closed loop which has a fixed point around which the loop is made called the center and the fixed distance from the center of the circle to its periphery is known as the radius of the circle. We are given a circle with center at Z. In the circle QR and ST are the chords such that QR = ST = 14 that is both are of equal length, and we know that equal chords are at equal distance from the center. Therefore,
VZ = UZ
23 = 3x + 5
18 = 3x
=> x = 18/3
=> x = 6 units.
Now, we also know that perpendicular drawn from center of the circle to the chord bisects the chord. Thus,
TV = (1/2)×ST
TV = (1/2)×14
TV = 7 units.
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A ratio is a….of … numbers. It can be written …different ways.
Let's analyze the example of the ratio of 9 to 15.
This ratio helps us to compare those two numbers. We can express it in different ways:
[tex]\begin{gathered} \frac{9}{15} \\ 9\colon15 \\ 9\text{ to 15} \end{gathered}[/tex]Answer: A ratio is a omparisonof … numbers. It can be written …different ways.What is the solution, if any, to the inequality 3-|4-n| >1
A. no solution
B. all real numbers
C. n > 2 or n < 6
D. 2 < n < 6
The solution of given inequality 3-|4-n| >1 is 2<n<6.So option D is correct.
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The given inequality is 3 - |4-n| > 1
Since |4-n| is the absolute value
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
So ( 4-n ) may be negative or positive.
For positive value of ( 4-n )
3-( 4-n ) > 1
3-4+n>1
n>2
For negative value of (4-x)
3+( 4-n )>1
3 + 4-n >1
7 - n > 1
-n> 1 -7
-n > -6
n < 6
Hence, 2 < n < 6 i.e. option D is the solution to the inequality 3-|4-n| >1.
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Answer: d
Step-by-step explanation:
The vertices of a triangle are as follows:
(4, 4), (6, 7), and (8, 0)
If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle?
hurry plsss
The vertices after dilation are (12, 12), (18, 21), and (24, 0)
How to determine the vertices of the new triangle?The vertices of the triangle are given as
(4, 4), (6, 7), and (8, 0)
The scale factor of dilation is given as 3
This means that
k = 3
The vertices of the new triangle are calculated as
Vertices = scale factor * Old vertices
So, we have
[(4, 4), (6, 7), and (8, 0)] * 3
Evaluate
(12, 12), (18, 21), and (24, 0)
Hence, the vertices of the new triangle are (12, 12), (18, 21), and (24, 0)
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Can someone help me with exterior angle theorem?
According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite interior angles are another name for the remote interior angles. Where can I determine a triangle's outer angle? In a triangle, how can I determine the interior and outside angles?
Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.
Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each exterior angle. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.
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Find where line a & tne line that has an undefined slope intersect.
Write the
coordinates of the point.
The coordinates of the point of intersection are (-6, -7)
How to find the point of intersection between the lines?The graph represents the given parameter
On the graph, we can see that there are two lines with the following properties:
Line 1: A slant line that extends indefinitelyLine 2: A vertical line that extends indefinitelyLine 3: A horizontal line that extends indefinitelyThe above properties means that:
Line 1: Has a defined slope i.e. the line ALine 2: Has an undefined slopeLine 3: Has a slope of 0From the graph, we can see that the lines A and the other line meet at a point
The point where these lines meet is referred to as the point of intersection
The coordinates of this point are (-6, -7)
Hence, the coordinates of the point where line a & tne line that has an undefined slope intersect are (-6, -7)
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HELP ASAP
Do you think that people are too free in the United States to do and say whatever they want or that there is not enough freedom? Do you feel that Americans have just the right amount of freedom? Explain your answer.
I believe that Americans have just the right amount of freedom.
How to illustrate the information?The First Amendment protects our freedom of speech and association, so the government cannot stop us from writing or speaking what we choose. We also have the right to create clubs and groups and participate in protests and rallies.
As long as you don't "materially and substantially" interrupt classrooms or other school activities, you have the right to voice your ideas. School administrators can disperse you if you stage a demonstration on the steps of the building and block the entrance. Additionally, they may be able to prevent you from using words that they deem to be "vulgar or indecent."
The above shows that despite the right of freedom, it's important to checkmate what people do.
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A landlord charged $865 per month to rent an apartment in 2010. The rent increased
at a constant rate and reached $1065 per month in 2018.
a. Write a linear model that represents the monthly rent as a function of the number
of years since 2010.
b. Use the model to estimate the monthly rent in 2021.
Answer:
y = 25x + 865
so the monthly rent in 2021 is 1,140
do you need an explanation or is this fine?
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
substitute with 10 in the equation
Find an equation to represent a line that goes through (1, 10) and (2, 8).
y = -2x + 12 is the linear equation of the line that passes through the coordinates of points (1, 10) and (2, 8).
What is the equation of line with the given coordinates?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
The slope of a line is expressed as change in y over change in x.
Slope m = (y₂-y₁)/(x₂-x₁)
Given the data in the question;
Point 1 ( 1, 10 )
x₁ = 1y₁ = 10Point 2 ( 2, 8 )
x₂ = 2y₂ = 8First, we determine the slope of the line.
Slope m = (y₂-y₁)/(x₂-x₁)
Slope m = ( 8 - 10 )/( 2 - 1 )
Slope m = (-2)/( 1 )
Slope m = -2
Now, determine the y-intercept b, by substituting the slope and the coordinates of one point into the equation of line formula.
y = mx + b
10 = -2(1) + b
Solve for b
10 = -2 + b
b = 10 + 2
b = 12
Now that we have the slope m and y-intercept b, plug these into y = mx + b to determine the equation of the line.
y = mx + b
y = -2(x) + 12
y = -2x + 12
Therefore, the equation of the line that goes through the given points is y = -2x + 12.
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I need this asap!!!!!
Answer:
average rate of change = 23
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 4, 9 ] , then
f(b) = f(9) = 212 ← from ordered pair in table
f(a) = f(4) = 97 ← from ordered pair in table , then
average rate of change = [tex]\frac{212-97}{9-4}[/tex] = [tex]\frac{115}{5}[/tex] = 23
a pole that is 3.3 m tall casts a shadow that is 1.48 m long. At the same time, a nearby tower casts a shadow that is 36.75 m long How tall is the tower
By using trigonometric relations for right triangles, we will see that the height of the tower is 81.92 meters.
How can we find the height of the tower?
First, we know that a pole with a height of 3.3m casts a shadow of 1.48m. We can see the height of the pole and the length of the shadow as the legs of a right triangle, with that, we can get the angle at which the sun hits the pole (this angle is such that the height will be the adjacent cathetus).
Using the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
We can get:
a = Atan( (opposite cathetus)/(adjacent cathetus))
With taht we can find the angle, where:
opposite cathetus = 1.48m
adjacent cathetus) = 3.3m
Then:
a = Atan(1.48/3.3) = 24.16°
For the tower that angle will be the same one, and again, the height is the adjacent cathetus and the shadow the opposite cathetus, so we can write the same equation than before:
tan(24.16°) = shadow/height.
Solving that for the height we get:
height = shadow/tan(24.16°) = 36.75m/tan(24.16°) = 81.92m
The height of the tower is 81.92 meters.
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