Answer:
x=6.5
Step-by-step explanation:
I'm not sure if it's correct
line y= 2x-1 is there 30,61 on the line?
No, The point (30, 61) does not lie on the given line y = 2x - 1.
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
The line,
y = 2x -1
To check if the point (30, 61) is on the line y = 2x - 1, we need to substitute x = 30 and y = 61 into the equation and see if the equation holds true.
So, we have:
y = 2x - 1
61 = 2(30) - 1
61 = 60 - 1
61 = 59
Since 61 is not equal to 59, the point (30, 61) is not on the line y = 2x - 1.
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There are 4,000 books in the town's library. Of these, 2,400 are fiction. To find the percent of the books that are fiction, set up the percent equation.
Answer: 60%
Step-by-step explanation:
2,400/4,000 x 100/1
0.6 x 100 = 60%
What is the percent yield formula?
Answer:
Step-by-step explanation:
The percent yield formula is used to calculate the efficiency of a chemical reaction in producing a desired product. It is defined as the ratio of the actual yield of a product to its theoretical yield, expressed as a percentage.
The formula for percent yield is:
Percent Yield = (Actual Yield / Theoretical Yield) * 100%
where:
Actual Yield is the amount of product actually produced in the reaction.
Theoretical Yield is the maximum amount of product that could be produced in a reaction under ideal conditions, calculated from the stoichiometry of the reaction.
By using this formula, you can determine how well a reaction is performing and identify areas for improvement to increase the yield of the desired product.
I need help on this
The fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.
What are rays?By selecting a curve that is perpendicular to the wavefronts of the actual light and points in the direction of energy flow, one can create an idealized geometrical model of light or other electromagnetic radiation known as a ray in the field of optics.
By segmenting the actual light field into discrete rays that can be computationally propagated across the system using ray tracing techniques, rays are used to mimic the propagation of light through an optical system.
As a result, even extremely complicated optical systems can be mathematically or computationally investigated.
For as long as light waves travel through and around objects whose dimensions are significantly larger than the light's wavelength, approximate solutions to Maxwell's equations are appropriate for use in ray tracing.
So, in the given situation it is nowhere given that both rays are equal, and hence the wrong statement will be AB = AC.
Therefore, the fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.
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#3. The hourly tides (in feet) on a recent day in Seattle, Washington, can be modeled using the sinusoidal function y = 4.5 cos + 5.0, where the height (y) is a function of time (x). Time x=0 represents midnight. What is the water level at 9 a.m.?
Answer:At low tide the water reaches the 1-foot mark. Assume that high tide occurs at 12 noon and at midnight, and that low tide occurs at 6 pm and 6 am.
Step-by-step explanation:
I need help with this please and thank you.
The given expression is a fifth-degree polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
5, 2 and 1.
Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.
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What is the equation of the line that passes through the point (5,8) and has a slope of 1
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{5})\implies {\Large \begin{array}{llll} y=x+3 \end{array}}[/tex]
how do i calculate percentage increase
Answer:
The percentage increase can also be calculated using this method. Imagine you have a function that adds the number 1 to a number between 0 and 10, which we call T. Now the percentage of the function's answer will be the percentage increase from T.
[tex]f=1+t\\t=0-10\\d=f\frac{t}{100} = percentage- f- of- t[/tex]
With this method, we obtain the percentage increase of the f function.
Step-by-step explanation:
what is x?
a
14.9
b
9.8
c
8.5
d
17.2
The value of x is 0.85 of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the given equation be 4x+2=5.4
We need to find the value of x
Substitute 2 from both sides
4x=5.4-2
4x=3.4
Divide both sides by 4
x=0.85
Hence, the value of x is 0.85 of the equation.
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What is the known probability when two events will both occur such that the probabilities of the individual events are from its product?
Answer:
The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:
p(A and B) = p(A) * p(B)
This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.
For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.
Alicia hikes to see a waterfall. She records the weight of the items she put in her backpack in a table. Alicia's camera weighs 1\dfrac35\text{ kg}1 5 3 kg1, start fraction, 3, divided by, 5, end fraction, start text, space, k, g, end text less than her lunch. Record the weight of Alicia's camera in the table.
The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
What is a fraction?
A fraction is a number that represents a part of a whole. It is expressed as a ratio of two numbers, where the top number is called the numerator and the bottom number is called the denominator.
We need to record the weight of Alicia's camera in the table. We know that the weight of her lunch is greater than the weight of her camera, and we know that the weight of her lunch is 2 kg. Therefore, the weight of her camera must be less than 2 kg.
We are also given that the weight of her camera is 1\dfrac35 kg. To convert this mixed number to an improper fraction, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3), and then put the result over the denominator:
[tex]1\dfrac35 = \dfrac{1\times5+3}{5} = \dfrac{8}{5}[/tex]
Therefore, The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
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Ms.Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less then the previous one, how many balls will be on the side length 3 layers down?
I hope some one can solve this quickly, if not thats ok.
There are 2 balls on the side length 3 layers down in the pyramid.
What is a pyramid?A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.
Given that, Ms. Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less than the previous one,
We need to find the number of balls 3 layers down,
Since, it is given that, there is reducing one balls as going down,
Therefore,
When we will go 3 layers down it will be 3 balls reduced, the layer from where we started is having 5 balls and after coming 3 layers down, the side layer will have = 5-3 = 2 balls.
Hence, there are 2 balls on the side length 3 layers down in the pyramid.
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I CAN GRAPH INEQUALITIES ON THE NUMBER LINE.
←+
x ≥6
H
15.5 > X
The graph of given inequalities is plotted on the number line is attached below.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequalities are x≥6 and 15.5>x.
The solution set of the inequality x≥6 is
{6, 7, 8, 9, 10, 11, 12, 13, 14,......}
Interval Notation: [6,∞)
x<15.5
Interval Notation: (−∞, 15.5)
Therefore, the solution set of the inequality x≥6 is {6, 7, 8, 9, 10, 11, 12, 13, 14,......}.
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which expression is equivalent to -2w-9+5w+3
The equivalent of the expression -2w-9+5w+3 is 3(w-2)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples is 2x+ 6y is equivalent to 2(x+3y)
The expression -2w-9+5w+3 can be factorized;
collect like terms
-2w-9+5w+3 = -2w+5w-9+3
= 3w-6
= 3( w-2)
therefore the equivalent of the expression -2w-9+5w+3 is 3(w-2)
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What is integral of sin 2
Sin 2 is the integral of -cos 2 plus c, where c is a constant integration equation sin2x dx = -cos2x + c.
1. Calculate sin 2 integral.
2. Apply the integration equation sin2x dx = -cos2x + c.
3. Increase the outcome by the constant C.
Sin 2 is the integral of -cos 2 plus c, where c is a constant. This integral must be calculated in several steps. Take the integral of sin 2 first. Use the integration formula sin2x dx = -cos2x + c to do this. According to this equation, the integral of sin 2 is equal to cos -2/c plus a certain constant. The next step is to add the constant c to the outcome after using this formula. This will result in the integral of sin 2 having a final value of -cos 2 + c. Any actual number may be used as the constant c, and the value will vary depending on the circumstances. It's crucial to keep in mind that the constant c must always be a part of the outcome.
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If f(x) is continuous on a closed interval, then it is enough to look at the points where f'(x) = 0 in order to find its absolute maxima and minima. Be prepared to justify your answer.
While looking at the critical points of a function f(x) is a useful first step in finding its maxima and minima, it is not enough by itself to determine all of them.
The statement is partially correct. If a function f(x) is continuous on a closed interval, it is possible to find its absolute maxima and minima by looking at the points where f'(x) = 0, but this is not enough to guarantee that you have found all of them.
The reason why this is the case is because the condition f'(x) = 0 only identifies critical points, which are points where the function may have an extremum (either a maximum or a minimum). To determine whether a critical point is indeed a maximum or a minimum, you need to analyze the behavior of the function near the critical point.
One way to do this is by using the second derivative test, which states that if f(x) is twice differentiable and f''(x) > 0 at a critical point x, then f(x) has a local minimum at x. Similarly, if f''(x) < 0 at a critical point x, then f(x) has a local maximum at x.
You also need to use additional tools, such as the second derivative test, to verify whether the critical points are indeed extrema.
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What is the value of x? 60 10 x
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]\cos 60^{\circ}=\frac{x}{10} \\ \\ \frac{1}{2}=\frac{x}{10} \\ \\ x=5[/tex]
please help
Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.
Let C represent Caroline's age. Let G represent Gabriel's age.
Identify the equations for this situation
gabriel is ____ years old and caroline is ___ years old
Gabriel is 19 years old and Caroline is 14 years old
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Aaron has two children, Gabriel and Caroline. Gabriel is older than Caroline. The difference of their ages is 5. The sum of their ages is 33.
Let C represent Caroline's age and G represent Gabriel's age.
Hence, We can formulate;
The difference of their ages is 5.
⇒ G - C = 5 .. (i)
The sum of their ages is 33.
⇒ G + C = 33 .. (ii)
Add (i) and (ii);
⇒ 2G = 38
⇒ G = 19 years
And, From (i);
⇒ G - C = 5
⇒ 19 - C = 5
⇒ 19 - 5 = C
⇒ C = 14 years
Thus, Gabriel is 19 years old and Caroline is 14 years old.
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Rayheem has
16 shirts
5 pairs of jeans
3 jackets
Rayheem chooses an outfit to wear.
An outfit is 1 shirt, 1 pair of jeans and 1 jacket.
Work out how many different outfits Rayheem can choose.
Answer:240
Step-by-step explanation:
How do I check 3(x+2)+2(x-8)=25?
Answer:
You check a solution to an equation by replacing the variable in the equation with the value of the solution
Step-by-step explanation:
due tmrw pls help on A and B
Answer:
(a) x= 20 (b) x= 41
Step-by-step explanation:
(a)
180-54= 126
360-126-90= 144
7x+4= 144
7x= 140
x= 20
(b)
(n-2)(180)= (5-2)(180)
= 540
(2x-10)+3x+(4x+20)+(2x-5)+(2x+2)= 13x+7
13x+7= 540
13x= 533
x= 41
In this problem you will need to factor a GCF out of the polynomial first. Factor the following polynomial completely. 2k2−8k−90
Name the number system in which only the whole numbers less than 5 are used -
The inequality representing the number system in which only the whole numbers less than 5 are used is given as follows:
{x ∈ W| x < 5}.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The inequality representing numbers less than 5 is given as follows:
x < 5.
As the numbers are whole numbers, the inequality is defined as follows:
{x ∈ W| x < 5}.
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Graph the line that passes through the two points. (0, 0), (13, 73) find the slope
Answer:
m = 73/13
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
(0, 0), (13, 73)
We see the y increase by 73 and the x increase by 13, so the slope is
m = 73/13
I need the answer plssssss
Answer:
12 inches
Step-by-step explanation:
21/3=7
84/7=12
12 inches
1.1 How many KES would you get for R150?
The amount of KES that one would have to get for R150 is given as 1053.54 KES
How many KES would you get for R150?The KES tells us of the Kenyan currency. That is the Kenyan shillings. The R is the name that is used to refer to the Rands
Hence we would have to convert rands to KES
1 south African Rand is given as 7.0236
then 150 rand would be = ?
Hence the amount you would get of KES is: 7.0236 * 150
= 1053.54 KES
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Four times a number subtracted from 28 equals 12. What is the number?
Answer: 10
Step-by-step explanation:
4x - 28 = 12
4x - 28 = 12 + 28
4x = 40
4x/4 = 40/4
x = 10
What is the integral of 1/(1-x^2)?
The integral of 1/(1-x^2) is arctan(x).
what is integral?An integral is a mathematical operation that calculates the area under a curve by breaking it into infinitely small segments and summing them up.
To solve this integral, we use the substitution method with u=1-x^2:
∫1/(1-x2)dx =∫du/u (substitute u=1-x2)
= ln|u| + C (integrate with respect to u)
= ln|1-x2| + C (substitute back in the original expression)
= ln|1-x2| + C (substitute back in the original expression)
= arctan(x) + C (use the identity ln|1-x2| = arctan(x))
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If a cylinder has a volume of 400 cubic feet, and the height of the cylinder is 25 feet, what is the radius of the cylinder?
The radius of the cylinder is 2.26 ft
How to calculate the radius of the cylinder?
The cylinder has a volume of 400 cubic feet
The height of the cylinder is 25 feet
The radius of the cylinder can be calculated as follows
radius= √ v/πh
= √ 400/(3.142)(25)
√ 400/ 78.55
= √ 5.09
= 2.26
Hence the radius of the cylinder is 2.26 ft
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PLEASE HELPPPPPP!!!!!!!
Step-by-step explanation:
Looks like this was scaled by 5 because
2 x 5 = 10
4 x 5 = 20
5 x 5 = 25
CAB ..
CA is 5
HJ is 25
AB is 2
JG is 10
CAB = HJG