Answer:
A. 24
Step-by-step explanation:
! = 2 multiplied by the maximum
So, 4! = 2 × 3 × 4 [24]
This is what is known as Factorials.
I am joyous to assist you anytime.
Answer:
[tex]\Huge\boxed{24}[/tex]
Step-by-step explanation:
Apply by the factorial rule.
[tex]\displaystyle 4!=1*2*3*4[/tex]
Then multiply to find the answer.
[tex]\displaystyle 1*2*3*4=4*3=12*2=24*1=24[/tex]
24, which is our answer.
HELP MATH
which is the graph of the linear equation y = - 1/3x + 5
Answer:
The second one.
Step-by-step explanation:
The slope of the graph, -1/3, is going down from left to right because it is negative, so it is decreasing. Slope is the rise over run, so because the slope is -1/3 look for lines that go down 1 unit and across 3 at the same time (from one corner of a square to the other). Then, because your y-intercept is a 5, just look for your line to cross the y-axis at 5. And that's it.
The second graph is the graph of the linear equation y = - 1/3x + 5.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given linear equation is y = - 1/3x + 5
We need to select the graph of the equation.
The slope of the line is -1/3
y intercept is 5.
Let us find few points to determine the graph.
if x=0, then y=-1/3(0)+5=5
So (0, 5) is one of the point
if x=1, then y=-1/3(1)+5
=14/3
(1, 14/3)
if x=2, then y=-1/3(2)+5
=13/3
(2, 13/3)
if x=3, then y=-1/3(3)+5
(3, 4) is point.
Now let us check these points which satisfy the graph.
Hence, the second graph is the graph of the linear equation y = - 1/3x + 5.
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Is -|-1| a positive or negative number? Please answer quickly!
It is -1, you first make the -1 positive but then the negative sign outside makes that 1 turn -1
The value of the absolute numerical expression will be negative 1.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The absolute function is also known as the mode function. The value of the absolute function is always positive.
The expression is given below.
⇒ - |- 1|
If the mode is removed, then the value inside the mode comes out to be positive. Then the value of the expression will be calculated as,
⇒ - |- 1|
⇒ - (1)
⇒ - 1
The value of the absolute numerical expression will be negative 1.
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what is f(x)=8x^2+4x written in vertex form
- This is what it is in vertex form, (-1/4,-1/2).
Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.
Answer:
To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.
A system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that the equation is,
y = 2/3 x - 5
If the slope and y-intercept of the two lines are the same, a system of two linear equations in two variables has an infinite number of solutions.
The equations must graph the same line if there are infinitely many solutions. Therefore, the equations must be equal. The above equation may be rewritten in a different way using the equality principles to create an equivalent equation. Both sides of the equation should be increased, decreased, multiplied, or divided by the same quantity.
Thus, system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.
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What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
ANSWER
10.9
EXPLANATION
We use the Altitude Theorem to determine the value of h.
According to the Altitude Theorem, the height, h is equal to the geometric mean of the two segment created by the leg of the altitude on the hypotenuse.
This implies that:
[tex] h= \sqrt{MP \times PO} [/tex]
That's,
[tex]h= \sqrt{(24- 7)7} [/tex]
[tex]h= \sqrt{17 \times 7} [/tex]
[tex]h= \sqrt{119} [/tex]
[tex]h= 10.9[/tex]
to the nearest tenth.
Plot the following linear equations and then plot the solution.
(The last point you plot should be the solution)
y=-x+6
y=3x-2
Answer:
See below
Step-by-step explanation:
(1) Create a table containing a few values of x and y
I chose x = -5, 0, and 5.
[tex]\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}[/tex]
(2) Plot your points
Draw dots at the coordinates of each point ( Fig. 1).
(3) Draw the graph
Draw smooth lines through the points for each function.
Extend the lines in both directions to the edges of the plot area.
Your graphs should look like Fig. 2.
(4) Plot the solution
Note where the lines cross.
They appear to intersect at (4, 10).
Plot the point, and the finished graph should look like Fig. 3.
Answer:
(2, 4)
Step-by-step explanation:
Both equations have been solved for y, so to find x we need only set the equations = to each other: y=-x+6 = y=3x-2
Combining like terms, we get 4x = 8, and x = 2. Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.
The solution is (2, 4). If you were to graph these two lines, you'd find that they intersect at (2, 4).
The independent variable of a data set is x,while the dependent variable is y.which of these is a response variable
Answer:
Dependent variable is a response variable
Step-by-step explanation:
Search up definition for response variable and it literally saids it's another word for dependent variable haha
Answer: Y
Step-by-step explanation:
A p e x
A firm determines its profit by subtracting from .
Answer:
A firm determines its profit by subtracting "Total Cost" from "Total Revenue".
Step-by-step explanation:
Given statement is "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.
We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.
Hence final answer can be written as:
A firm determines its profit by subtracting "Total Cost" from "Total Revenue".
find cos(A). reduce the ratio if necessary.
Answer:
[tex]cos(A) =\frac{3}{5}=0.6[/tex]
Step-by-step explanation:
By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.
In other words:
[tex]cos (A) = \frac{adjacent}{hypotenuse}[/tex]
In this triangle the length of the side adjacent to the angle A is 30, and the length of the hypotenuse is 50
So:
[tex]cos(A) = \frac{30}{50}[/tex]
Simplifying we have that:
[tex]cos(A) = \frac{3}{5}=0.6[/tex]
Answer:
Final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].
Step-by-step explanation:
Using given information in the picture, we need ot find the missing value of Cos(A).
Apply formula of cosine function which is :
[tex]\cos\left(A\right)=\frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos\left(A\right)=\frac{30}{50}[/tex]
[tex]\cos\left(A\right)=\frac{3}{5}[/tex]
Hence final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].
Will give brainliest!!
Answer:
[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]
Step-by-step explanation:
The given equation in rectangular coordinates is;
[tex]y^2=9x[/tex]
We use the relation;
[tex]x=r\cos \theta[/tex]
and
[tex]y=r \sin \theta[/tex]
This implies that;
[tex](r \sin \theta)^2=9(r \cos \theta)[/tex]
[tex]r^2 \sin^2 \theta=9r \cos \theta[/tex]
Divide through by r to get;
[tex]r \sin^2 \theta=9\cos \theta[/tex]
Divide both sides by [tex]\sin^2 \theta[/tex]
[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]
Is the quotient of (-5) ÷ (-7) a rational number
Yes it is. 5\7 is a fraction, therefore it is rational; it can be written as a decimal, 0.714285...... [bar notation indication].
Answer: The quotient of (-5)÷(-7) is a rational number
Step-by-step explanation:
It is asked that the quotient of (-5) / (-7) is a rational number ?
Rational Number : A rational number is a number which can be expressed in the form p/q
We multiply the numerator and denominator of the fraction by -1
[tex]\frac{(-5)(-1)}{(-7)(-1)}[/tex]
=[tex]\frac{5}{7}[/tex]
i.e. the number can be expressed in the form p/q where p=5 and q=7
So the quotient is a rational number
What is the definition of present value?
A.
the future value of a current sum of money
B.
the current value of a future sum of money
C.
the interest paid on a future sum of money
D. the interest paid on a current sum of money
The current value of a future sum of money. The Present Value allows us to calculate what is the value of today that has an amount of money that we will not receive right now but later, in the future.
Present value seeks to reflect that it is always better to have an amount of money today than to receive it in the future. In fact, if we have the money today we can do something to make it productive, such as investing in a company, buying shares or leaving it in the bank that pays us interest, among other options. In addition, even if we do not have a certain plan to invest the money we can simply spend it to satisfy our tastes and we do not have to wait to receive the money in the future.
Answer:
A) The current value of a future sum of money
Step-by-step explanation:
on plato
Charlie wants to buy new carpet for his living room floor the floor is in the shape of a rectangle its length is 15 feet and the width is 9Feet soup is carpet cost $13 for each square foot how many will carpet cost for the floor
Answer:
135 square ft.
Step-by-step explanation:
To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.
Neil has 3 partially full cans of white paint. they contain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much paint does Neil have in all?A) Less than 1 1/2 gallons B) Between 1 1/2 gallons and 2 gallons C) More than 2 gallons
Answer: The answer is A
Step-by-step explanation: When you add 1/2+1/5+1/3 it equals 31/30 which when converted is equal to 1.033 which is less than 1 1/2.
300 centimeters to yards.
Answer:
3.28084
hope this helps
Answer:
3.28
Step-by-step explanation:
1 cm = 0.0109361 yards
Multiply by 300
300 cm = 3.28083 yards
choose all that applies help asap
The correct answers are:
A. P = 58 and Q = 78
C. P = -78 and Q = -52
D. P = 58 and Q = -78
To determine which values of P and Q result in the equation Px + 52 = Qx - 78 having exactly one solution, we need to ensure that the coefficients of x on both sides are not equal. This means P should not be equal to Q.
The given equation is:
Px + 52 = Qx - 78
First, let's rearrange the terms to isolate x:
Px - Qx = -78 - 52
(P - Q)x = -130
For this equation to have exactly one solution, P - Q must be non-zero. Therefore, P - Q.
Let's evaluate each option:
A. P = 58 and Q = 78
- P - Q = 58 - 78 = -20
- Since -20 is not zero, this pair results in exactly one solution.
B. P = 52 and Q = 52
- P - Q = 52 - 52 = 0
- Since 0 is zero, this pair does not result in exactly one solution.
C. P = -78 and Q = -52
- P - Q = -78 - (-52) = -78 + 52 = -26
- Since -26 is not zero, this pair results in exactly one solution.
D. P = 58 and Q = -78
- P - Q = 58 - (-78) = 58 + 78 = 136
- Since 136 is not zero, this pair results in exactly one solution.
What are the solutions of the equation (x + 2)2 + 12(x + 2) - 14 = 0? Use u substitution and the quadratic formula to solve.
X^2+4x+4+12x+24-14=0
x^2+16x+14=0
x= -16 ± √(16)^2-4(1)(14) /2(1)
=-16± √200 /2
-16 ± 2√50 /2
-16 ± 10√2 /2
-8 ± 5√2
Answer: A) x=-8±5[tex]\sqrt{2}[/tex]
Step-by-step explanation: to find the solutions of the given equation, we need to use the substitution u=x+2, so the equation would now be:
[tex]u^{2} +12u-14=0[/tex]
the quadratic formula is:
u=(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a
in this case a=1; b=12; and c=-14
so replacing the values it remains:
u=(-12±[tex]\sqrt{12^{2}-4*1*(-14) }[/tex])/2*1
u=(-12±[tex]\sqrt{144+56}[/tex])/2
u=(-12±[tex]\sqrt{200}[/tex])/2
we can write 200 as 100*2 and the square root of 100 is 10:
u=(-12±10[tex]\sqrt{2}[/tex])/2
u=-6±5[tex]\sqrt{2}[/tex]
and finally:
x=u-2
x=-6±5[tex]\sqrt{2}[/tex]-2
x=-8±5[tex]\sqrt{2}[/tex]
which graph represents 2x
- 5 < 15
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]2x-5 < 15[/tex]
Solve for the inequality
Adds 5 both sides
[tex]2x < 15+5[/tex]
[tex]2x < 20[/tex]
Divide by 2 both sides
[tex]x < 20/2[/tex]
[tex]x < 10[/tex]
The solution is the interval ------> (-∞,10)
All real numbers less than 10
In a number line , the solution is the shaded area at left of x=10 (open circle)
The graph in the attached figure
Write the fraction or mixed number as a decimal
1. 4/10
2.3 1/10
3.7/10
4. 6 5/10
5. 9/10
Answer:
4/10= 0.4
3 1/10= 3.1
7/10= 0.7
6 5/10= 6.5
9/10= 0.9
Step-by-step explanation:
What is the coefficient in the expression 5+ 9y
Answer:
9
Step-by-step explanation:
The coefficient is the number directly next to the variable, in this case, the variable being y, and the number being 9.
In the question:
9y + 5,
9 is the coefficient
y is the variable
5 is a constant (does not change).
Note that the coefficient and constant cannot change, but the value of the variable (y) can vary (hence the name).
~
The coefficient in the expression is 9.
What is the coefficient in the expression 5+ 9y?The coefficient of a term in an algebraic expression is the number that is multiplied by the variable in the term.
To find the coefficient of a term, you can follow these steps:
1. Identify the variable in the term.
2. Look for the number that is multiplied by the variable.
3. That number is the coefficient of the term.
In the expression 5+ 9y, the variable is y. The number that is multiplied by y is 9.
Therefore, the coefficient in the expression is 9.
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Linda
bought a circular tablecloth that has a radius of 3 feet. What is the circumference to the nearest foot of Linda's tablecloth
Answer: 6
Step-by-step explanation:
The circumference is always x2 of the radius
please help me with the correct answer!! thanks!
Answer:
A- y=0.5x+3
Step-by-step explanation:
Which expression is equal to the length of the hypotenuse of a right triangle, formed inside the unit circle, with a radius of 1?
The length of the hypotenuse of a right triangle formed inside the unit circle with a radius of 1 is simply 1.
The expression equal to the length of the hypotenuse of a right triangle formed inside the unit circle, with a radius of 1, can be found using the Pythagorean theorem. In a unit circle, the hypotenuse of any right triangle formed by a radius will always have a length of 1, because the radius of a unit circle is 1 by definition. So, the expression you are looking for is simply 1, since the hypotenuse in this case is the radius of the circle.
Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648(pi). What is the percent change in volume between cylinders A and B?
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=6 \end{cases}\implies V=\pi (12)^2(6)\implies \stackrel{\textit{volume of A}}{V=864\pi }[/tex]
so their difference is 864π - 648π = 216π.
if we take 864π to be the 100%, what is 216π off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 864\pi &100\\ 216\pi &x \end{array}\implies \cfrac{864\pi }{216\pi }=\cfrac{100}{x}\implies 4=\cfrac{100}{x} \\\\\\ 4x=100\implies x=\cfrac{100}{4}\implies x=25[/tex]
If employees who make more money pay a higher percentage of their income to the government, this is known as____?
Answer:
Income tax
Step-by-step explanation:
The more money someone earns, the higher their income, and the more government expects them to pay in taxes.
which is the equation of a line perpendicular to the line with the equation 4x - 3y = 5?
The line perp. With this equation is y=-5/3+4x
A rectangle has an area of 112cm. The length and width of the rectangle are changed by a scale factor of 1.5. What is the area of the new rectangle?
Answer:
252 cm²
Step-by-step explanation:
Area of a rectangle is width times length:
A = WL
If the width and length increase by a factor of 1.5:
A = (1.5 W) (1.5 L)
A = 2.25 WL
So the area increases by a factor of 2.25.
2.25 × 112 cm² = 252 cm²
can someone please help?
Answer:
I think it may be C) 5.5
Step-by-step explanation:
well the question doesn't really give us anything to work with to find the exact answer but if we look at the triangle logically then we will figure out that JZ is smaller than JS. and if JS is 8.7 then we can't have JZ being longer than JS so option D is out. and the other two options are way too short to be the length of JZ. Therefore we have option C as our winner
Hope this helps
Find the range for the set of data.
101, 72, 115, 114, 117, 56, 101, 68, 111, 58, 51, 51, 90
Answer:
64
Step-by-step explanation:
115 - 51 = 64
Answer:
66
Step-by-step explanation:
put them in order from least to greatest.
51, 51, 56, 58, 68, 72, 90, 101, 101, 111, 114, 115, 117
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is...
117-51=
66
Jose is using 12 brown tiles and 8 white tiles to design a section of an outdoor patio. Wich ratio compares the number of brown tiles to the total number of tiles in one section ?
Answer:
8:20
Step-by-step explanation:
It says brown tiles to total tiles.
12+8=20
Final answer:
The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.
Explanation:
To compare the number of brown tiles to the total number of tiles in one section, use the ratio:
12 brown tiles : 20 total tiles = 12 : 20 = 3 : 5
This ratio simplifies to 3:5, showing that for every 3 brown tiles, there are 5 total tiles in that section. The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.