Tony can still go further go and write 144 as the product of whole numbers greater than one in the following way -
2 x 2 x 2 x 2 x 3 x 3
What are whole numbers?Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.
Given is tony, who wants to write large numbers as the product of as many whole numbers greater than 1 as possible. So, he writes 144 as
2 x 72 but he sees he can go further and writes it as 2 x 2 x 36.
Yes we can still go further and write 144 as the product of whole numbers greater than 1. We have -
144 = 2 x 72 = 2 x 2 x 36 = 2 x 2 x 2 x 18 = 2 x 2 x 2 x 2 x 9 =
2 x 2 x 2 x 2 x 3 x 3
Now, he cannot go on further to express 144 as the product of whole number greater than 1. The last digit 3 is a prime number and is divided by either 1 or itself. So, if the last digit in the product expansion is a prime number, than we cannot break it further into smaller whole numbers.
Therefore, tony can still go further go and write 144 as the product of whole numbers greater than one in the following way -
2 x 2 x 2 x 2 x 3 x 3
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y = 4x - 4graph the linear equation and identify the x-intercept
what is the answer is it 56, 76, 128, or 100
The sum of the interior angles of any quadrilateral is 360°.
Therefore, we have,
[tex]4n+5n+6+9n+2+8n-12=360[/tex]SOlving for n, we get,
[tex]\begin{gathered} 26n-4=360 \\ 26n=364 \\ n=14 \end{gathered}[/tex]Therefore, the angle m[tex]4n=4\times14=56[/tex]The answer is 56.
Graph the point (5, 0) on the coordinate plane.
The point (5, 0) on the coordinate plane is inserted in the graph.
The intersection of "x" and "y" axis forming a two dimensional plane is called coordinate plane.The horizontal axis is called as "x" axis and the vertical axis is called "y" axis . The Cartesian plane is also called as x- y plane .Cartesian plane consists of four coordinates. It is also called co- ordinate plane .
According to the graph attached below the point on "x" axis denotes 5 units and since y axis is 0 i.e. the point is 0 at y axis.
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A table is 2 feet wide and 6 times long as it is wide
Answer:
The table is 12 feet long
Step-by-step explanation:
If the table is 2 feet wide and the length is 6 times the width
we do 6(2) you get 12 which is the length
Over the last three evenings, Carmen received a total of 74 phone calls at the call center. The first evening, she received 6 fewer calls than the third evening. The second evening, she received 3 times as many calls as the third evening. How many phone calls did she receive each evening?
Let x be the amount of calls that Carmen received at the third evening.
The first evening she received 6 calls fewer than the third, so that is x-6. The second evening, she received 3 times the number of calls of the third evening. So that is 3*x. The sum of this three quantities should be 74,sinche she received 74 calls in total. So, we have the equation
[tex]x\text{ - 6 +3x+x = 74}[/tex]If we add all x values we get
[tex]5x\text{ - 6 = 74}[/tex]If we add 6 on both sides, we get
[tex]5x\text{ = 74+6 = 80}[/tex]Now, if we divide by 5 on both sides, we get
[tex]x\text{ = }\frac{80}{5}=16[/tex]So in the third evening she received 16 calls. The first evening she received 16-6 = 10 calls and the second evening she received 16*3 = 48 calls.
Consider the expression.5n -2 =9Which statement best describes this expression?O A number less than two times five is 9.O Five times a number subtracted from two equals 9.O Five minus two times a number equals 9.Two less than five times a number is 9.
1) Looking at that expression
5n -2= 9
Since the expression is written this way, we can assume the wording is
Five times a number subtracted from two equals 9.
Because the number, n is 1 unit, then. We can read like that.
Write each expression as a sum or difference or multiple of logarithms, assume the variables represents positive numbers
SOLUTION
The given expression is:
[tex]\log_6\frac{4x}{3}[/tex]This is simplified to give
[tex]\operatorname{\log}_6\frac{4x}{3}=\operatorname{\log}_64x-\operatorname{\log}_63[/tex]This further gives
[tex]\operatorname{\log}_64x-\operatorname{\log}_63=\operatorname{\log}_64+\operatorname{\log}_6x-\operatorname{\log}_63[/tex]Therefore the required answer is:
[tex]\begin{equation*} \operatorname{\log}_64+\operatorname{\log}_6x-\operatorname{\log}_63 \end{equation*}[/tex]PLEASE HELP DUE IN 23 and I’ll be giving 25 points to whoever helps me.Thank you
Answer:
X is 44 - X = 44
Step-by-step explanation:
Please help me with mine.
Assume that the function
f
is a one-to-one function.
(a) If
f
(
6
)
=
2
, find
f
−
1
(
2
)
.
Your answer is
(b) If
f
−
1
(
−
8
)
=
−
6
, find
f
(
−
6
)
.
Your answer is
please help me with this this math question thank you!
Plot (−134,412) on the coordinate plane.
Consider the coordinate (-1 3/4, 4 1/2).
Therefore, the x coordinate and y coordinate are - 1 3/4 and 4 1/2 respectively.
First, we must move back and forth between -1 and -2 by one and three.
In order to acquire 4 1/2, we must first get 4 above the y-axis, followed by half between 4 and 5.
The location at which the horizontal line at 4 1/2 and the vertical line at -1 3/4 would connect would be marked with a coordinate.
Or,
x = - 1 ( 3/4 ) = - 7/4 = - 1.75 and;
y = 4 1/2 = 9/2 = 4.5
Hence, ( -1 3/4, 4 1/2 ) = ( - 1.75, 4.5 ).
The shown red point on the graph is the coordinate (-1 3/4, 4 1/2).
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What is the distance between point R(-1, 7) and point T(-7, 7)?
O 1 unit
O 6 units
O 7 units
O 8 units
Answer: 6 units
Step-by-step explanation: first set up the distance formula
d= the square root of [(-7+1)^2+(7-7)^2}
the y values =0 so we are left with the square root of -6^2=d
and this simplifies out to d=6
(36yx-16y2²-315x)+(-4y³x³)
Answer:
36yx-64y-315x-4y^3x^3
Step-by-step explanation:
Expand and simplify (36yx-16y2²-315x)+(-4y³x³)
to get 36yx-16y x 2^2-315x-4y^3x^3
Simplifying further to get
36yx-64y-315x-4y^3x^3
Please help me. Thank you. I’m supposed to move the coordinates on the plane.
The rectangle has upper-left coordinates (3,-3), upper-right coordinates (7,-3) and area 16 square units.
By these coordinates, we know that it's base length is 7 - 3 = 4 units.
And, since the area of a rectangle is given by it's base length times its height h, which is: 4*h = 16, which implies h = 4 units.
Therefore, the botton coordinates will be (3,-3-4) = (3,-7) and (7,-3-4) = (7,-7)
What is -|-16| +(-8)*5²
what is the solution set?
Answer:
the set of all the solutions of an equation or condition.
which is he mode of this data set? 55, 78, 43, 39, 78, 61, 75, 75, 43, 78
What is the total number of lines of symmetry for this figure?
A. 0
B. 1
C. 2
D. 4
Answer: C. 2
Step-by-step explanation:
Lines of symmetry are where the shape could be folded over and be a perfect match from one side to the other. This shape can be folded horizontally and vertically from the center.
Factor the polynomial completely.
x3 + 6x + x2 + 6
Group of answer choices
(x2 + 1)(x + 6)
(6x + 1)(x + 1)
(x2 + 6)(x + 1)
Answer:
(x² + 6)(x + 1)
Step-by-step explanation:
x³ + 6x + x² + 6
x³ + x² + 6x + 6
(x³ + x²) + (6x + 6)
x²(x + 1) + 6(x + 1)
(x² + 6)(x + 1)
I hope this helps!
Parallel lines with a transversal
Answer:
Same Side Interior Angles
? = 64
Step-by-step explanation:
180-116=?
64=?
HELP PLEASEEEEEEEEEEE!! ILL MARK BRAINLIEST
-16t^2+10t+6= 0.75please help asap !!!!!!
The problem is asking you to find tha height of the ball after 0.75 seconds, and they give you the formula for the height:
[tex]h(t)=-16t^2+10\text{ t + 6}[/tex]So since this a function in terms of the time "t", all you need to do is to replace t with "0.75" in the equation, and thus obtain the height of the object at that moment in time:
[tex]h(0.75)=-16(0.75)^2\text{+10 (0.75)+6=}4.5[/tex]The answer comes in feet, and it is: 4.5 ft
Find the slope, y-intercept and equation of the line for the points (0,3) (2,-1) show work please
we are asked to determine the slope of the line that passes through the points (0, 3) and (2, -1). To do that we need to use the formula for the slope of a line:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where:
[tex]\begin{gathered} (x_1,y_1)=(0,3) \\ (x_2,y_2)=(2,-1) \end{gathered}[/tex]Replacing in the formula:
[tex]m=\frac{-1-3}{2-0}[/tex]Solving the operations:
[tex]m=-\frac{4}{2}=-2[/tex]therefore, the slope is -2.
To determine the y-intercept we can use the point (0,3), since this means that when x = 0, y = 3. Since the y-intercept is the value of "y" when x = 0, this means that the y-intercept is 3.
To determine the equation of the line we need to use the general form of a line equation:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" the y-intercept. Replacing the value of the slope and "b"
[tex]y=-2x+3[/tex]If K is the midpoint of HJ, HK= x + 6, and HJ = 4x - 6, then KJ equals
Consider the figure,
We have,
[tex]\begin{gathered} HK=x+6 \\ \text{HJ}=4x-6 \end{gathered}[/tex]As we can understand from the figure that,
HJ=HK+KJ and HK=KJ
[tex]\begin{gathered} HJ=HK+KJ \\ 4x-6=x+6+KJ \\ 4x-6-x-6=KJ \\ 3x-12=KJ \\ 3x-12=x+6 \\ x=9 \\ \therefore KJ=3\times9-12=15 \end{gathered}[/tex],
The height (in inches) of a plant after 't' days is (1/2t + 6). After how many days is the plant 21 inches tall? *
Height = 1/2t + 6
To find after how many days the plant is 21 inches tall, replace height by 21:
21 = 1/2t + 6
Solve for t (days)
21-6 = 1/2t
15 = 1/2t
Multiply both sides of the equation by 2:
15(2) = 1/2t (2)
30 =t
After 30 days
graph: q(x)=-2/x+3)+1 Make sure that you are labeling every single part. Take your time. This is the reason why I am assigning one problem as a homework.
Here, we want to plot the graph of the given absolute value equation
As we shall be considering the positive and negative values of the expression inside the lines (x+3), this plot will usually take a v shape, coming out from a certain point
The plot is shown below;
As we can see from the plot, we have two x-intercepts (the points at which the plot touches the x-axis), 1 tip (vertex) and 1 y-intercept (the point at which the graph touches the y-axis)
The labelings are as follows;
x-intercept 1; (-3.5,0)
x-intercept 2; (-2.5,0)
y-intercept; (0,-5)
Vertex; (-3,1)
1. What is the greatest commonfactor (GCF) for the following function. 2x +4 = 0? #2 Factor out the GCF and what is leftgoesinside the parenthesis.
We have the expression:
2x+4
Analyzing each term separately we have
2x=2*x
4=2*2
We can see there is one factor that both expressions have: the number 2
1. The GCF is 2
2.
The GCF is 2, and if we want to factor it out, we must divide both terms by 2:
2x+4=2(x+2)
Note the term 2x was divided by 2 to get x, and 4 by 2 is 2
The factored function is
2x+4=2(x+2)
Solve the equation.
-x+8+ 3x = x-6
Answer:
x= -14
Step-by-step explanation:
-x + 8 + 3x = x -6
combine -x and 3x to get
8 + 2x = x -6
subtract x from both sides to get
8 + x = -6
subtract 8 from both sides to get
x= -14
Find a and b such that
The coefficients (a, b) = (4, 2) are the solutions to the system formed by three equations with two variables.
How to find the coefficients associated with a linear coefficient
In this problem we must determine the values of two coefficients associated with a linear combination, which is equivalent to the following system of linear equations:
a + 4 · b = 12
a - b = 2
- 3 · a + 5 · b = - 2
Since the number of equations is greater than the number of variables, there are two posibilities: (i) No solution, (ii) A solution. Now we find the solution to the system formed by the first and second equations:
a + 4 · b = 12
a - b = 2
(a, b) = (4, 2)
Now we check in the third equation:
- 3 · 4 + 5 · 2 = - 2
- 12 + 10 = - 2
- 2 = - 2 (TRUE)
The coefficients (a, b) = (4, 2) are the solutions to the system.
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1. Green Forest Day Camp has 43 fewer girl campers than boy campers. There are 278 boy campers. Use rounding to estimate the total number of campers. 2. Green Forest Day Camp has 43 fewer girl campers than boy campers. There are 278 boy Campers. How many actual total campers does Green Forest Day Camp have?
Answer: 513 campers
Explanation
The total number of boys in the camp is 278
There are 43 fewer girl campers than boy
Let the total number of campers be x
Let the total number of girl campers be y
Since, there are 43 fewer girl campers than boy
Hence, the total number of girl campers is
y = Boy campers - 43
Boy campers = 278
y = 278 - 43
y = 235
Since, y is the total number of girl campers, hence, the total number of girl campers is 235
The total number of campers = number of boy campers + number of girl campers
The total number of campers = 278 + 235
The total number of campers = 513 campers
The answer is 513 camperst
