Answer: 30 inches
Step-by-step explanation:
We know that the formula for calculate the volume of a cube is:
[tex]V=s^3[/tex]
Where "s" is the length of each side.
Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":
[tex]125\ in^3=s^3\\\\\sqrt[3]{125\ in^3}=s\\\\s=5\ in[/tex]
We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6. Then:
[tex]height=(5\ in)(6)=30\ in[/tex]
Answer:
Step-by-step explanation:
V=8^3
30 inches answer
Find the length of segment AC if AB is 7, BC is 12 and B is between a A and C
Step-by-step explanation:
If the B is the middle of the segment AC,
AC= AB+BC
AC=7+12= 19.
If I'm wrong, correct me please. I would be pleased.
In the number 409.21 what digit is in the ones place
Answer: The number before the decimal
Step-by-step explanation:
The digit in the ones place is 9, in the given number 409.21.
What is the place value?There are only 10 digits in the number system. They are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The digits in a number have values depending on their place. Those values are called place values. According to the number system, the place values are ones, tens, hundreds, thousands, and so on. For a decimal number, after the decimal point, the place values are tenths, hundredths, thousands, and so on.A number is obtained by adding the product of digits with their place values.Expanding the given number according to place values:The given number is 409.21
⇒ 400 + 00 + 9 + 2×(1/10) + 1×(1/100)
⇒ 4×100 + 0×10 + 9×1 + 2×(1/10) + 1×(1/100)
So, the digit in ones place is 9.
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Find the distance of the line segment joining the two points (5, 4) and (−2, 1)
The distance of the line segment joining the points (5, 4) and (-2, 1) is found using the distance formula. Substituting the given points into the formula, we calculate the distance to be approximately 7.62 units.
Explanation:The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional Cartesian plane is given by the distance formula: √[(x2-x1)² + (y2-y1)²].
Substituting the given points (x1, y1) = (5, 4) and (x2, y2) = (-2, 1), we get:
Distance = √[(-2 - 5)² + (1 - 4)²] = √[( -7)² + (-3)²] = √[49 + 9] = √58 ≈ 7.62.
Therefore, the distance of the line segment joining the two points (5, 4) and (-2, 1) is approximately 7.62 units.
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Which of the following numbers has the greatest value?
A) .1
B) .47
C) .049
D) .192
E) .0864
Answer: B) .47
Step-by-step explanation: As all of those numbers have a decimal with no whole number, we look past the decimal. Then you realize 4 is greater than 1, 0, 1 and 0. You ignore the numbers past it and read it from left to right all the time.
The greatest value is 0.47. Then the correct option is B.
What is the greatest value?Let the number will be a, b, c, d, and e.
If the value of the arbitrary constant d has a maximum value then the greatest value will be of d.
The numbers are given below.
0.1, 0.47, 0.049, 0.192, and 0.0864.
Then the greatest value is 0.47.
Then the correct option is B.
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A stock loses 10% of its value on Monday. On Tuesday it loses 20% of the value it had at the end of the day on Monday. What is the overall percent loss in value from the beginning of Monday to the end of Tuesday?
Answer: The overall percent loss is 28%.
Step-by-step explanation: Given that a stock loses 10% of its value on Monday and on Tuesday it loses 20% of the value it had at the end of the day on Monday.
We are to find the overall percent loss in value from the beginning of Monday to the end of Tuesday.
Let x represents the value of a stock at the beginning of Monday.
Then, the value of the stock at the end of Monday is given by
[tex]x-10\%\times x=x-\dfrac{10}{100}x=x-\dfrac{x}{10}=\dfrac{9}{10}x.[/tex]
So, the value of the stock at the beginning of Tuesday is [tex]\dfrac{9}{10}x.[/tex]
Therefore, the value of the stock at the end of Tuesday is given by
[tex]\dfrac{9}{10}x-20\%\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}x-\dfrac{20}{100}\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}-\dfrac{9}{50}x\\\\\\=\dfrac{36}{50}x\\\\\\=\dfrac{18}{25}x\\\\\\=x-\dfrac{7}{25}x\\\\\\=x-\dfrac{28}{100}x\\\\\\=x-28\%x.[/tex]
Thus, the overall percent loss is 28%.
Find the product. -2 xa (-4 xb - 2 x 3 + 5 x )
Answer:
[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]
Step-by-step explanation:
We need to find the product of: [tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex]
We have that:
[tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex] = [tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]
We can't simplify more the expression, therefore, the solution is:
[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex].
Answer this question thanks
First divide 6 to both sides to isolate q. Since 6 is being multiplied by q, division (the opposite of multiplication) will cancel 6 out (in this case it will make 6 one) from the right side and bring it over to the left side.
18 ≥ 6q
18 ÷ 6 ≥ 6q ÷ 6
3 ≥ 1q
3 ≥ q
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
3 ≥ q OR q ≤ 3
aka 3 is greater then q OR q is less then 3
This means that the graph will have an colored circle and the arrow will go to the left of 3. Look at image below.
Hope this helped!
~Just a girl in love with Shawn Mendes
What equation best represents the following sentence?
The sum of a number and two is twice the number.
n +2 = 2n
n + 2 = 2n
n +2=n
2n = n
Answer: n + 2 = 2n
Step-by-step explanation:
sum = add
number and two = n, 2
twice the number = 2 x n
Answer: n + 2 = 2n
Step-by-step explanation:
the quotient of 1 and 2/3 divided by 4/5
Answer:
[tex]\frac{15}{8}[/tex]
Step-by-step explanation:
"the quotient of 1 and 2/3 " expressed mathematically is,
1 ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{2}[/tex]
"divided by 4/5"
[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{4}{5}[/tex]
=[tex]\frac{3}{2}[/tex] x [tex]\frac{5}{4}[/tex]
= [tex]\frac{15}{8}[/tex]
how to solve a system of three equations using the elimination method
Answer:
1. Write all the equations in standard form, leaving out decimals or fractions.
2. Select the variables to be eliminated; And then you take two of these equations, and you eliminate the variables.
3. Select a different set of two equations and eliminate the same variables as in step 2.
4. Solve two equations containing two variables from steps 2 and 3.
5. Substitute the answer to step 4 into any equation that contains the remaining variables.
6. Check the solution with three original equations.
To solve a system of three equations using the elimination method, pair up the equations, eliminate a variable from each pair, solve for the remaining variable and substitute this value into other equations to find the values of other variables.
Explanation:To solve a system of three equations using the elimination method, the process involves eliminating one variable at a time to eventually have one equation with one variable left, which you can then solve.
Pair up the equations. You can pair the first and second equation together, and then pair the second and third equation together. Eliminate one variable from each pair. This can be done by adding or subtracting the equations. For instance, if you have these equations: Qd = 16 - 2P, and Qs = 2 + 5P, subtracting the second equation from the first gives you Qd - Qs = 14 - 7P, thus eliminating the P variable. Solve for the remaining variable. This usually involves rearranging the equation and solving for the variable in question. Once you obtain the value for one variable, substitute this value into the other equations so as to solve for the other two variables. Learn more about Solving Systems of Equations here:
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Compare the graph of f (x) with the graph of k (x) = 2 (x-8)2
The graph of k(x)=2(x-8)², a quadratic function, will be an upwards-opening parabola with a vertex at (8,0). To compare it with the graph of f(x), we need more details about f(x), which could be linear, quadratic, or a different type of function entirely. The comparison can focus on attributes like shape, orientation, position, steepness, continuity, differentiability, or periodicity.
Explanation:The function k (x) = 2 (x-8)² is a quadratic function where 2 is the coefficient, and 8 is the amount that the graph is shifted to the right in the x coordinate. This graph will be a parabola that opens upwards, with a vertex at the point (8,0) due to the transformation in the x term (x-8).
To compare the graph of f(x) with the graph of k(x), we first need to understand the characteristics of f(x). For example, if f(x) is also a quadratic function, we can compare their shapes, orientations (upward or downward opening), positions (based on vertex and line of symmetry), and steepness (determined by the absolute value of the coefficient -- in this case, 2).
If f(x) is a linear function, it will be a straight line and we can compare the orientation, steepness (slope), and position (y-intercept). Or if f(x) is a different type of function entirely, the comparison will focus more generally on attributes like continuity, differentiability, periodicity, etc. Therefore, without additional details about f(x), a complete comparison isn't possible.
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What is the slope of the linear function y = 7?
The slope is 0. y = 7 makes a horizontal line, therefore there is no rise only a run.
Remember: If it creates a horizontal line the slope is zero
Hope this helped!
~Just a girl in love with Shawn Mendes
At a certain electronics company, the daily output Q is related to the number of people A on the assembly line by Q=600+√(A+41). Determine how many people are needed on the assembly line if the daily output is to be 621.
Answer:
[tex]A=400\ people[/tex]
Step-by-step explanation:
we have
[tex]Q=600+\sqrt{A+41}[/tex]
where
Q -----> is the daily output
A -----> is the number of people
For Q=621
Find the value of A
substitute and solve for A
[tex]621=600+\sqrt{A+41}[/tex]
Subtract 600 both sides
[tex]621-600=\sqrt{A+41}[/tex]
[tex]21=\sqrt{A+41}[/tex]
squared both sides
[tex]21^{2} ={A+41}[/tex]
[tex]441={A+41}[/tex]
Subtract 41 both sides
[tex]441-41=A[/tex]
Rewrite
[tex]A=400\ people[/tex]
The sum of two numbers is 28. The first number, x, is three
times the second number, y.
Answer:
x=21
y= 7
Step-by-step explanation:
x+y = 28
x = 3y
Substitute the second equation into the first
3y+y = 28
4y = 28
Divide by 4
4y/4 = 28/4
y = 7
Now we need to find x
x = 3*y
x = 3*7
x = 21
Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, the answer is 9/4.
Explanation:To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 1/3 is 3/1. So, we have:
3/4 ÷ 1/3 = 3/4 * 3/1 = 9/4.
The answer, 9/4, cannot be further reduced to lowest terms since 9 and 4 do not have any common factors other than 1.
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You work in a hospital that has 9 floors. You need to see 3 patients on each floor. How many patients do you need to see in all?
Answer:
The answer is 27 patients.
Step-by-step explanation:
There are 3 patients per floor. There are 9 floors.
3 x 9 = 27
There are 27 patients in all.
I hope this helped! :)
What is the measure of each of the two angles formed by the bisector of the diagonal of a rhombus if the original angle measures 58 degrees?
Answer: 29 degrees is the answer
Step-by-step explanation:
The bisector is the line that divides the angle, and rhombus diagonally. So, basically you're just dividing 58 in half. Which is 29 degrees.
The measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
A Rhombus with one of its angle equal to 58°.
Now,
Bisector of an angle, divides an angle into two equal parts.
So,
From the above mentioned definition,
i.e.
[tex]=\frac{58}{2} = 29^0[/tex]
So, the measure of each angle is 29°.
Hence, we can say that the measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.
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Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money-making project. For the canvas wallets, they need two yards of canvas and two yards of leather. For the leather wallets, they need four yards of leather and three yards of canvas. Their production unit has purchased 44 yards of leather and 40 yards of canvas. Let x be the number of leather wallets and y be the number of canvas wallets. If the profit on a canvas wallet is $25 and the profit on a leather wallet is $40, write a function for the total profit for both wallets.
To find the total profit for both wallets sold by Efficient Homemakers Ltd., use the equation P = 40x + 25y, where x is the number of leather wallets and y is the number of canvas wallets sold.
Explanation:The question involves writing a function for the total profit from selling canvas wallets and leather wallets made by Efficient Homemakers Ltd.
To calculate the total profit, we denote x as the number of leather wallets and y as the number of canvas wallets.
The company makes a profit of $40 for each leather wallet, and $25 for each canvas wallet.
Thus, the total profit P can be represented by the equation:
P = 40x + 25y
This equation represents the total profit as a function of the number of leather wallets (x) and the number of canvas wallets (y) sold.
-2,10,-50 next two numbers geometric sequence
Answer:
250, -1250
Step-by-step explanation:
Geometric Sequence is a hint to think multiplication:
What can you multiply to -2 to get 10
or what is 10/-2
I hope you said -5.
So just multiply -5 to a term to get the term right after!
So
-50(-5)=250
250(-5)=-1250
What is the equation for a geometric sequence with a first term of 5 and a second term of −10?
an = 5(−2)n − 1
an = 5(2)n − 1
an = 5(−15)n − 1
an = 5(15)n − 1
Answer: A is correct, an = 5(−2)n − 1
Step-by-step explanation:
The formula for geometric sequences is an=a(r)^n-1
a is the first term, which is 5 in this case
r is the common ratio, which is -2 because (5)(-2)=-10
If it takes 45 manage to go to pale city from Heflin then it takes another hour and nine minutes to drive back to Ranburne Alabama how long will it take
Answer:
1 hour 54 minutes
Step-by-step explanation:
1 hour and 9 minutes + 45 minutes gives your answer. However, since 45+9=54, this is convenient, since now we don't need to carry. Thus, 1 hour and 54 min is your answer.
Hope this helps!
Answer: 114 minutes or 1 hour and 54 minutes.
Step-by-step explanation:
You need to analyse the exercise.
You know that it takes 45 minutes from Helflin to Pale City.
Driving back to Alabama takes 1 hour and 9 minutes. You need to remember that there are 60 minutes in an hour, therefore, this time in minutes is:
[tex]60\ minutes+9\ minutes=69\ minutes[/tex]
To find the total time, you need to add 45 minutes and 69 minutes. Then you get:
[tex]Total=45\ minutes+69\ minutes=114\ minutes[/tex] or 1 hour and 54 minutes.
What is 692,119 rounded to the nearest thousand
In order to get the answer to this problem you will have to go to the thousands place value and look at the number next to the place value and if the number is greater then 5 then you round up which will give you your answer.
[tex]692,119[/tex]
[tex]2,119[/tex]
[tex]1<5[/tex]
[tex]= 2000[/tex]
[tex]= 692,000[/tex]
Which means your answer is "692,000."
Hope this helps.
The value 692,119 is rounded to the nearest thousand is 692,000. The nearest thousand for the given number is 2000.
How to round off a number?A number (integer or decimal) is rewritten to the nearest place value (ones, tens, hundreds, thousands, and so on). The rewritten number is said to be the rounded value of the given number. A number is rounded off at any of its place values on the basis of the digit after the digit which is to be rounded.I.e., if the digit after that place is less than 5 (< 5) then round the number down, or if the digit after that place is greater than or equal to 5 ( ≥ 5) then round the number up. If the digit is less than 5, then all the digits after the required place value are rounded as zerosIf the digit is more than 5 or equal to 5, then add 1 to the digit in the required place value and round all the other digits after it as zeros.Rounding the given number to the nearest thousand?The given number is 692,119
The digit in the thousands place of the given number is 2.
The digit after 2 is 1 which is less than 5. So, the digits after the thousand place is rounded as zeros. I.e., 2119 to 2000.
Therefore, the rounded number is 692,000.
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Simplify the radical expression 5/64
Answer:
40
Step-by-step explanation:
5√64 = 5 x 8 = 40
Answer:
√5
==
8
or
Sqrt5
over
8
Step-by-step explanation:
Can someone please help
Check the picture below.
[tex]\bf \stackrel{\textit{triangles' area}}{\cfrac{1}{2}(6)(1)+\cfrac{1}{2}(6)(1)}+\stackrel{\textit{front side}}{(6\cdot 2)}+\stackrel{\textit{left and right sides}}{(4\cdot 2)+(4\cdot 2)}\implies 3+3+12+8+8[/tex]
Write the equation of a line that goes through point (0, 1) and has a slope of 0.
Answer:
Equation of this line is y = 1
Step-by-step explanation:
We have to write an equation of a line passing through (0,1) and slope 0.
Standard equation of a line in slope form is y = mx + c
Where m = slope and c = y intercept.
Since m = 0
so y = c is the equation.
This line passes through (0,1)
so equation will be Y = 1
Equation of this line is y = 1
Solve for x
(x + 10)(x + 10) = 0
[tex](x + 10)(x + 10) = 0\\x+10=0\\x=-10[/tex]
ANSWER
[tex]x = - 10[/tex]
EXPLANATION
We have the quadratic equation
[tex](x + 10)(x + 10) = 0[/tex]
This quadratic equation is in the factored form.
According to the zero product principle either the first factor is zero or the second is zero.
We apply the zero product principle to obtain:
[tex](x + 10) = 0 \: \: or \: \: (x + 10) = 0[/tex]
This is a repeated factor therefore,
[tex]x = - 10[/tex]
is the repeated root.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Complete the proof. Below is a drag and drop geometric proof. Complete the proof in your notebook. Choose from these possible answers: Given YZ UV
Step-by-step explanation:
∠YXZ and ∠VXU are vertical angles, and therefore are congruent.
∠YXZ ≅ ∠VXU, Vertical ∠'s ≅
Next, we're given that lines YZ and UV are parallel. That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.
∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅
If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.
△XYZ ~ △XUV, AA
Since the triangles are similar, then by definition, their sides are proportional.
XY/XU = YZ/UV, Definition of Similar Polygons
YZ || UV - Given
YXZ = VXU - Vertical triangles =
YZV = UVZ - If lines ||, alternate internal triangles =
XYZ ~ XUV - AA
XY/XU = YZ/UV - Definition of Similar Polygons
(02.03)Tony bought 3 tickets to a concert for $78. How much will it cost for 6 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:
Number of Tickets 3 4 5 6
Cost $78 $104 $130 ?
Answer:
26$ Per ticket
missing number is 156$
Step-by-step explanation:
Find how much each ticket is by dividing 78 by 3 which is 26 the multiply 26 and 6 to find the missing number hope this helped :)
Answer:
The value of one ticket is 26 dollars, so for 6 tickets would be 156 dollars...
Step-by-step explanation:
$78 ÷ 3 tickets = $26
$26 × 6 tickets
= $156 for 6 tickets.
Sam cut a pizza into 6 equal sizes slices. What is the measure of the angle formed by one of the pieces
Answer: 60
Step-by-step explanation:
A circle is 360 degrees, so 360/6 is your answer.
What is the vertex of x^2 -10x + 21
Answer:
(5, - 4)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
x² - 10x + 21 ← is in standard form
with a = 1, b = - 10, so
[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the quadratic for the corresponding value of y
y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4
vertex = (5, - 4)