The volume of the pyramid will be 995,328 cubic meters.
What is the volume of the pyramid?
Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.
Then the volume of the pyramid will be
Volume = (1/3) × A × h
The slant height is given as.
l² = (half of the side)² + h²
A stone pyramid in Egypt has a square base that actions 144 m on each side. The level is 96 m.
Then the volume of the pyramid will be given as,
V = 1/3 x (144 x 144) x 96
V = 48 x 144 x 96
V = 995,328 cubic meters
The volume of the pyramid will be 995,328 cubic meters.
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The equation of the line y=2x+3 passes through which of the following points? (1,4)(-1,4)(2,3)(3,2)
Answer:
A
Step-by-step explanation:
Fill in X and Y for each of the equations until you find one that fits
The equation of the line y=2x+3 passes through the (1,4) point only.
The line gave y=2x+3.
In order to check whether the line passes through the points the following steps are:
A) (1,4)
Here x=1 , y=4.
We will put these values in the line y=2x+3.
4= 2(1)+3
4=4
As L.H.S=R.H.S, therefore this point (1,4) passes through the line.
B) (-1,4)
Here x=-1 , y=4.
We will put these values in the line y=2x+3.
4= 2(-1)+3
4= -2+3
4 [tex]\neq[/tex] 1
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (1,4) does not pass through the line.
C) (2,3)
Here x=2 , y=3.
We will put these values in the line y=2x+3.
3= 2(2)+3
3= 4+3
3 [tex]\neq[/tex] 7
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (2,3) does not pass through the line.
D) (3,2)
Here x=3 , y=2.
We will put these values in the line y=2x+3.
2= 2(3)+3
2= 6+3
2 [tex]\neq[/tex] 9
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (3,2) does not pass through the line.
Only (1,4) point passes through the line.
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if you are asked to solve a system of equations in which there is no linear equation to start with
You can occasionally start by isolating and replacing a variable that is squared in both equations if you're required to solve a system of equations without a starting linear equation.
If there isn't a linear equation to begin with, you can pick out and use a squared variable in both equations.
Start by dividing both sides of the supplied nonlinear equation by the variable's coefficient, for instance.
After you've done that and isolated a variable, carry on with the problem-solving by adding that variable to the other equation.
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describe the end behavior of the following function
The function has the end behavior f(x) → -∞ as , x → -∞ as f(x) → +∞ , x → +∞
Since, The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function determine the end behavior of the graph. And, if the function has positive leading coefficient with odd degree then its end behavior is f(x) → -∞ as , x → -∞ as f(x) → +∞ , x → +∞
Here, The given function has positive leading coefficient with odd degree.
Therefore, by the definition of end behavior of a function,
The function has the end behavior f(x) → -∞ as , x → -∞ and, f(x) → +∞ , x → +∞
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Consider the equation -4 x+11=-10 x+17
a. Compare the value of the variable terms on the left and right side of the equation.
b. Compare the value of the constant terms on the left and right side of the equation.
The comparison of the terms are:
Variable terms: -4x is greater than -10xConstant terms: 11 is less than 17The variable terms on the left and the right sideFrom the question, we have the following equation:
-4x + 11 = -10x + 17
The variable terms are terms that have the variable x represented
In this case, the variable terms are
Left-hand side = -4x
Right-hand side = -10x
When -4x and -10 are compared, we can conclude that
-4x is greater than -10x
The constant terms on the left and right sideFrom the question, we have the following equation:
-4x + 11 = -10x + 17
The constant terms are terms that do not have the variable x represented
In this case, the constant terms are
Left-hand side = 11
Right-hand side = 17
When 11 and 17 are compared, we can conclude that
11 is less than 17
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Finding the slope passing through the points
Question 1
Since the x-coordinates are the same, the line is vertical. Therefore, the slope is undefined.
Question 2
Since the y-coordinates are the same, the line is horizontal. Therefore, the slope is zero.
if x+[tex]\frac{1}{x}[/tex]=[tex]\sqrt{11}\\[/tex], find the value of [tex]x^{3}[/tex]+[tex]\frac{1}{x^{3}}[/tex]
Answer:
[tex]8 \sqrt{11} [/tex]Answer:
[tex]8\sqrt{11}[/tex]
Step-by-step explanation:
Given:
[tex]x+\dfrac{1}{x}=\sqrt{11}[/tex]
Sum of two squares
[tex]\boxed{a^2+b^2=(a+b)^2-2ab}[/tex]
[tex]\textsf{Let}\; a = x[/tex]
[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]
Therefore:
[tex]\begin{aligned}x^2+\dfrac{1}{x^2}&=\left(x+\dfrac{1}{x}\right)^2-2x\left(\dfrac{1}{x}\right)\\\\&=\left(\sqrt{11}\right)^2-2\\\\&=11-2\\\\&=9\end{aligned}[/tex]
Sum of two cubes
[tex]\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}[/tex]
[tex]\textsf{Let}\; a = x[/tex]
[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]
Therefore:
[tex]\begin{aligned}x^3+\dfrac{1}{x^3}&=\left(x+\dfrac{1}{x}\right)\left(x^2-x\left(\dfrac{1}{x}\right)+\left(\dfrac{1}{x}\right)^2\right)\\\\ &=\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)\\\\&=\left(x+\dfrac{1}{x}\right)\left(x^2+\dfrac{1}{x^2}-1\right)\\\\&=\sqrt{11}\left(9-1\right)\\\\&=8\sqrt{11}\end{aligned}[/tex]
There are 18 swans in this pond. How many tadpoles are there?
The ratio of newts to swans to tadpoles is
2: 3: 5
Answer:
30 tadpoles
Step-by-step explanation:
the 3 part of the ratio relates to the number of swans, that is 18 , then
18 ÷ 3 = 6 ← value of 1 part of the ratio
Then
number of tadpoles = 5 × 6 = 30
On july 1 kingbird inc purchases 470 shares of its $5 per value common stock for the treasury at a cash price of $9 per share
Using the par value method, the journal entry to record the treasury stock transaction is as follows:
Journal Entry:Debit Treasury Stock $2,350
Debit Paid-in Capital in Excess of Par Value $1,880
Credit Cash $4,230
(To record the purchase of 470 own shares valued at $5 at $9 per share.)What are the methods for recording treasury stock transactions?Treasury stock transactions can be recorded using the cost or the par value methods.
When the cost method is used, the Treasury Stock account is debited or credited with the cost (cash price paid or received).
When the par value method is used, the difference between the cash price or cost and the par value is recorded in the Paid-in Capital in Excess of the Par Value account.
The Treasury Stock account is then credited or debited with the par value.
Transaction Analysis:Treasury Stock $2,350 (470 x $5) Paid-in Capital in Excess of Par Value $1,880 (470 x $9 - $5) Cash $4,230 (470 x $9)
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Question Completion:Journalize the treasury stock transaction using the par value method.
I need the answer ASAP, I can’t find a single person who has the same problem (I’m not very good at math)
Answer:
4
Step-by-step explanation:
3(-5x-5) + 19x = _x - 15
-15x-15+19x = _x - 15
4x - 15 = _x - 15
It has to be the same on both sides so 4 would go in that blank.
Answer: 4
Step-by-step explanation:
Joan wanted to determine if husbands earn more money than their spouses, on average. She used the 38 households in her neighborhood. What kind of test should she conduct?
The test that Joan can use to determine if husbands earn more is the t test.
What is a T test?A t test is a statistical test used to compare two groups' means. It is frequently used in hypothesis testing to determine whether a process or treatment has an effect on the population of interest, or whether two groups differ. A t-test is an inferential statistic that is used to determine whether or not there is a significant difference in the means of two groups and how they are related.
The Independent Samples t Test compares the means of two independent groups to see if there is statistical evidence that the associated population means differ significantly. This can be utilized by Joan.
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What is the reciprocal of ¾?
Group of answer choices
3/1
1/3
3/4
4/3
Answer: 4/3
Step-by-step explanation:
The reciprocal of a/b is b/a.
Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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Given that the area of a trapezoid is given by the formula A = 12
h(b1 + b2), what is the value of A if h = 2 cm, b1 = 3, and b2 = 4?
The area of the trapezoid is equal to 7 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the trapezoid in a two-dimensional plane is called the area of the trapezoid.
Given that the area of a trapezoid is given by the formula A = 1/2
h(b₁ + b₂). The given values are h = 2, b₁=3, and b₂=4.
The area of the trapezoid is calculated as,
Area = (1 / 2) x h(b₁ + b₂)
Area = (1 / 2 ) x 2 x ( 3 + 4 )
Area = 7
Area = 7 square units
Therefore, the area of the trapezoid is equal to 14 square units.
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Factor the expression using the GCF 24y+88x
Factor the expression using the GCF 24y+88x
24y+88x
GCF is 8:
8(3y + 11x)
What is the graph of the given inequality?
The graph of the inequality is plotted using the below points.
Graph:
In math, graph show you information as a visual image or picture.
Given,
Here we need to find the graph of the given inequality.
To graph an inequality:
To graph the related boundary line. We have to replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line.
Now, we have to identify at least one ordered pair on either side of the boundary line and substitute those (x, y) values into the inequality.
Then shade the region that contains the ordered pairs that make the inequality a true statement.
Here if points on the boundary line are solutions, then use a solid line for drawing the boundary line. This will happen for ≤ or ≥ inequalities.
Where as if points on the boundary line are not solutions, then use a dotted line for the boundary line. This will happen for < or > inequalities.
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Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
What is 1+1+q+q++1+1+1
The value of the expression 1+1+q+q++1+1+1 is 5 + 2q.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
As an illustration, the expression x + y has the terms x and y with an addition operator between them.
The expression will be:
= 1+1+q+q++1+1+1
= 5 + 2q
The value is 5 + 2q.
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Answer:
5+2q
Step-by-step explanation:
What are the 4 steps in graphing linear inequalities?
Answer:
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
Step-by-step explanation:
What is Linear inequality ?Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Step 1: Always start by separating the variable y from the left side of the inequality.
Step 2: The equality symbol should be used in place of the inequality symbol
Step 3: Draw the boundary line from step 2 in the XY plane.
Step 4: The last step is to partially or completely shade the border line.
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
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What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
A rectangular garden measures 27 ft by 38 ft. Surrounding (and bordering) the garden is a path 3 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
The area of this rectangular walk is 390[tex]ft^{2}[/tex]
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.
Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]
In conclusion the area of the walk is 390[tex]ft^{2}[/tex]
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Ryan and Carlos decided to sell their cups of hot chocolate for $2.75. They sold 12 cups. They spent $9.45 on supplies that they will need to pay back to the bank.
How much profit did Ryan and Carlos make?
Answer:
$23.55
Step-by-step explanation:
First we will need to determine the total amount of sales Ryan and Carlos made. To do that we will multiply the amount of products sold by the product cost.
$2.75 x 12 = $33
Now we need to deduct the cost of supplies they need to pay back from their profits.
$33- $9.45= $23.55
Now we are left with Ryan and Carlos' total profit, which is $23.55
Si ended the class with an average grade of 80%, after taking the final exam She earned a 48% on the final
Did she pass True or false
Answer: false
Step-by-step explanation:
if the expected grade was 100 but passing was 80 then she couldn't have passes with a 48
charmaine, jose, and shen sent a total of 134 text messages over their cell phones during the weekend. shen sent 9 fewer messages than charmaine. jose sent 3 times as many messages as shen. how many messages did they each send?
Charmaine sends 34 message, Jose send 75 texts and Shen send 25 messages.
What is linear equation?
An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line.
Let C be charmaine text, S be shen text, J be jose text.
C +J+ S=134
Shen send 9 messages fewer than charmine .
S = C -9
C = S+9
And Jose sent 3 times more then shen
J =3S
We get,
S+9+3S+S=134
5S +9 = 134
5S = 134 -9
5S = 125
S = 25
C = 25 +9
= 34
J= 75
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What are the domain and range of g of x equals 3 times the square root of the quantity x plus 4?
D: [3, ∞) and R: [0, ∞)
D: [4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (3, ∞) and R: (–∞, 0)
The domain and range of this square root function are: D: [–4, ∞) and R: [0, ∞).
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function or relation is defined. This ultimately implies that, a domain is the set of all possible input values (x-values) for a function while a range is the set of all possible output values (y-values) of a function.
Based on the information provided, the function is represented as follows:
g(x) = √(x + 4)
Since a square root function doesn't exist for all negative values, the domain of this function is given by:
x + 4 ≥ 0
x ≥ -4
Domain = [-4, ∞]
Since we do not have a vertical translation, the range of this square root function is given by:
x ≥ 0
Range = [0, ∞]
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Answer:
[–4, ∞) and R: [0, ∞)
Step-by-step explanation:
I got it right on the test.
If x-10=22,then x is equal to
Answer:
Step-by-step explanation:
x = 32
x - 10 = 22
add 10 to both sides of the equation
-10 + 10 = 0
22+ 10 = 32
x = 32
Mason read 4 books in 2 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Using the rate, the number of book Mason reads per month is 2 books.
How to find the number of book he read per month?Mason read 4 books in 2 months. Mason reads at a constant rate. The number of books he reads each month can be calculated as follows;
The number of books he reads is at a constant rate. The rate formula can be used to find the number of book Mason read each month.
rate = number of books read / number of month
Therefore,
number of books read = 4 books
number of month = 2 month
Hence,
rate = 4 / 2
rate = 2 books per month
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what is the common denominator of in the complex fraction
The common denominator of the complex fraction is (1/a - 1/b)/(1/a + 1/b) is a²b² which is option D.
The provided complex fraction is (1/a - 1/b)/(1/a + 1/b).
Now, to find the common denominator,
Solving this complex fraction.
First multiplying each component of every bracket to every component of the other bracket,
= 1/a² + 1/ab - 1/ab - 1/b²
Now, simplifying the equation,
= 1/a² + 1/b²
= (a²+b²)/a²b²
The denominator is the lower part of the fraction.
Hence, the common denominator of the complex fraction is a²b².
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Complete question - What is the common denominator of 1/a + 1/b in the complex fraction (1/a - 1/b)/(1/a + 1/b)?
A)a2 b2
B)a – b
C)a + b
D)ab