Answer:
\( \Huge \bf \underline {\underline{Given}}\) \( : \implies \sf\dfrac{ {3}^{7} }{ {3}^{4} } \times 33\)\(\Huge\bf\underline{\underline{Solution}}\)\( : \implies \sf\dfrac{ {3}^{7} }{ {3}^{4} } \times 33\)\({ : \implies \sf\dfrac{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3}{3 \times 3 \times 3 \times 3} \times 33}\)\({ : \implies \sf\dfrac{ \cancel{3} \times \cancel{ 3}\times \cancel{3}\times \cancel{ 3}\times 3 \times 3 \times 3}{\cancel{ 3} \times \cancel{ 3} \times \cancel{ 3} \times \cancel{ 3}} \times 33}\)\( : \implies \sf3 \times 3 \times 3 \times 33\)\( : \implies \sf27 \times 33\)\(: \implies \sf891\)\( \bigstar \underline {\boxed {\red{ \bf{891}}}}\)the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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Find the volume of the triangular prism to the right.
6 height
11 base
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
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Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]
The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]
Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16]. We know that the product of two matrices is equal to the sum of the products of their corresponding elements. We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.
a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...
(4)Simplifying equations (1) to (4), we get:
3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)
Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.
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What is the x-value of the solution to this system of equations?
3x + 2y = 7
y = –3x + 11
a. 6
b. 3
c. -4
d. 5
Step-by-step explanation:
3x+2y = 7
3x +2(-3x+11) = 7
3x-6x +11 = 7
-3x+11 =7
-3x = 7-11
-3x =-4
x =-4/-3
x = 4/3.
bro u r option has wrong
How many solutions does 9x-18=3(3x-6) have?
Answer: All Real Numbers Are Solutions
34. Write the equation of each line below.
The equation of the blue line is: y = 3x - 1.
The equation of the red line is: y = 3x + 2.
How to Find the Equation of a Line?To find the equation of a given line on a coordinate plane, find the slope along the line, m (rise / run), and also determine the value of the y-intercept (b), which is the point on the y-axis where the line intercepts it.
The equation of the red line:
Slope of the line (m) = rise / run = 3 units / 1 units
Slope (m) = 3
The red line intersects the y-axis at 2, this means the y-intercept of the line would be b = 2.
To write the equation of the red line, substitute m = 3 and b = 2 into y = mx + b:
y = 3x + 2
The equation of the blue line:
Slope of the line (m) = rise / run = 3 units / 1 units
Slope (m) = 3
The blue line intersects the y-axis at -1, this means the y-intercept of the line would be b = -1.
To write the equation of the blue line, substitute m = 3 and b = -1 into y = mx + b:
y = 3x - 1.
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A square piece of cloth must be cut to make a tablecloth. The area needed is 16x^2 – 24x + 9 square inches
Find the simplified expression for the side length of the cloth, then the simplified expression for the
perimeter of the cloth.
Answer:
16x-12
Step-by-step explanation:
4x-3 is one side
(4x-3)4 = 16x-12
a force of pounds is required to hold a spring stretched 0.4 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length? $1.8$incorrect2.025
The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.
This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.
Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.
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Correct question:
A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.
How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?
the model shows the expression of 30+12 whitch expression is equivelent to this sum
Answer:
6+5]4
Step-by-step explanation:
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS ALSO SOLVE INEQUALITIES WITH INTEGERS.#2-#6 THANK YOU(:
The following are the solution to the given inequalities;
-13 < 4x + 7 ; -5 < x
-2x + 7 < 19 ; x > -6
-45 < 5(p - 2) ; -7 < p
21 < -7(x - 2) ; -1 > x
-9x + 10 > -8 ; x < 2
2 - 6 < 3 ; -4 < 3
How to solve inequalities?-13 < 4x + 7
combine like terms
-13 - 7 < 4x
-20 < 4x
divide both sides by 4
-5 < x
-2x + 7 < 19
combine like terms
-2x < 19 - 7
-2x < 12
x < 12/-2
x > -6
When dividing inequality with negative, the inequality sign will flip.
-45 < 5(p - 2)
open parenthesis
-45 < 5p - 10
-45 + 10 < 5p
-35 < 5p
-7 < p
21 < -7(x - 2)
21 < -7x + 14
21 - 14 < -7x
7 < -7x
divide both sides by -7.
-1 > x
-9x + 10 > -8
-9x > -8 - 10
-9x > -18
x > -18/-9
x < 2
2 - 6 < 3
-4 < 3
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A store has 4 employees that earn 134 dollars altogether. if they all earn the same amount, how much does each employee earn?
Each employee earns $33.50. Since there are 4 employees and they earn a total of $134, dividing the total by the number of employees gives us $33.50 per employee.
To determine how much each employee earns in a store where there are 4 employees in total, and they all earn the same amount, we can divide the total amount earned by the number of employees.
Given that the total amount earned by the 4 employees is $134, we need to divide this amount equally among them to find the individual earnings.
Let's calculate the amount earned by each employee:
Amount earned by each employee = Total amount earned / Number of employees
Amount earned by each employee = $134 / 4
Dividing $134 by 4, we find that each employee earns $33.50.
Therefore, each employee in the store earns $33.50.
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Each side of a tent is fixed to the ground by ropes as
shown. The peg is 1.5 m from the side of the tent. Find
the angle between the ropes.
Answer:
The angle between the ropes is 73⁰ to whole number.
What is right angled triangle?
A right-angled triangle is one with one of its inte angles equal to 90 degrees, or any angle is a right angle.
What is Trignometry?
Trigonometry is one of the branches of mathematics. It is the study of the relationship between the sides and angles of a right-angle triangle. As a result, using trigonometric formulas, functions, or trigonometric identities,we can find the missing or unknown angles or sides of a right triangle.
According to the given information:
Using the Pythagoras theorem
c²=a²+b²
Input the figures into the formula
c²=1.5²+2²
c²=2.25+4
c²=6.25
c=√6.25
c=2.25 m
We know the trignometric formula:
Cos∅= (a²+b²-c²)/2ab
Input the values also to get
Cos∅=(2.25²+2.25²-3²)/2*2.25*2.25
Simplifying to get
cos∅=(6.25+6.25-9)/12.5
cos∅=3.5/12.5
⇒cos∅=0.28
∅=\(cos^{-1}\) 0.28
= 73.7
∅≅73⁰
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73⁰ to the whole integer is the angle between the ropes.
What is right angled triangle?Any angle is a right angle if one of the interior angles of the trapezoid equals 90 degrees.
What is trignometry?One of the areas of mathematics is trigonometry. It is the examination of how a right-angle triangle's edges and angles interact. As a consequence, we can determine the sides or angles of a right triangle that are missing or unknown by using trigonometric formulas, functions, or identities.
According to the given data:Using the Pythagoras theorem
c²=a²+b²
Input the figures into the formula
c²=1.5²+2²
c²=2.25+4
c²=6.25
c=√6.25
c=2.25 m
We know the trignometric formula:
Cos∅= (a²+b²-c²)/2ab
Input the values also to get
Cos∅=(2.25²+2.25²-3²)/2*2.25*2.25
Simplifying to get
cos∅=(6.25+6.25-9)/12.5
cos∅=3.5/12.5
⇒cos∅=0.28
∅=cos⁻¹ 0.28
= 73.7
∅≅73⁰
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help asap due in 5 min.
Answer:
3
Step-by-step explanation:
just trust me hehehehhehehehhe
question is in image
To find the answer, we have to find the slope of the line.
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let's replace the points (2,20) and (8,80), where
\(\begin{gathered} x_1=2 \\ x_2=8 \\ y_1=20 \\ y_2=80 \end{gathered}\)\(m=\frac{80-20}{8-2}=\frac{60}{6}=10\)This means that the tip earned increases at a rate of $10 per hour.
Hence, the correct answer is B.which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
Find the slope of the line that passes through (6, 3) and (3, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
1/3
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (2 - 3)/(3 - 6) = (-1)/(-3) = 1/3
Peyton has n nickels and d dimes. She has no less than 21 coins altogether.
Write this situation as an inequality.
Answer:
i have the same ? need help:(
Step-by-step explanation:
A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 200 biscuits per day. Each jumbo biscuit requires 2oz of flour, each regular biscuit requires 1oz of flour, and there is 300oz of flour available. The income from each jumbo biscuit is $0.09 and from each regular biscuit is $0.14. How many of each size biscuit should be made to maximize income? What is the maximum income?*Answer setup *The company should make [__] jumbo and [___] regular biscuits.The maximum income is [___].
Solution
For this case we can do the following:
x= number of jumbo biscuits
y= number of regular biscuits
Then we can write the conditions given:
1) For the total of biscuits in a day we have
\(x+y\le200\)2) For the amount of flour we have:
\(2x+y\le300\)3) And we need to satisfy these other conditions:
\(x\ge0,y\ge0\)After this we have an objective function associated to the totat income and we can write:
\(IC=0.09x+0.14y\)Now we need to plot the conditions to find the optimal solution:
We have 4 possible points as the solution :
(0,0) (0,200), (100,100), (150,0)
Now we evaluate the objective function for each point and we got:
IC(0,0)= 0.09*0 +0.14*0 = 0
IC(0,200)= 0.09*0 +0.14*200 = 28
IC(100,100)= 0.09*100 +0.14*100 = 23
IC(150,0)= 0.09*150 +0.14*0 = 13.5
Since we want to maximize the income then the optimal solution would be 0 jumbo buscuits and 200 normal biscuits
And the maximum income is 28
The company should make 0 jumbo and 200 regular biscuits.
The maximum income is 28.
what is the measure of angle b?
A. 36⁰
B. 117⁰
C.63⁰
D. 56⁰
Answer:
A
Step-by-step explanation:
180⁰= a+b+81⁰
a=180⁰-117⁰=63⁰
b=180⁰-63⁰-81⁰=36⁰
standard error of an estimator is not affected by the multiple choice question. population standard deviation. sample size. population size
The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.
The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.
It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)
where , n --> sample size
σ --> population standard deviations
Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.
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Complete question:
standard error of an estimator is not affected by the multiple choice question.
a) population standard deviation
b) sample size
c) population size
the product 2√3 and 3√12 in simplified form is
The product of 2√3 and 3√12 in simplified form is 6√36. To simplify this expression, we can first multiply 2 and 3 to get 6. Then, we can simplify the square root of 3 and the square root of 12 by finding their prime factorizations:
√3 = √(3 * 1) = √3
√12 = √(12 * 1) = √(2^2 * 3) = 2√3
So, 2√3 = 2 * √3 = 2 * √3
And, 3√12 = 3 * 2√3 = 6√3
Finally, the product of 2√3 and 3√12 is 6 * 6√3 = 6√36.
Following calculus questions. Thanks so much
The vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be:
B. x = 0
C. x = +-2π
How to illustrate the information?It should be noted that the function that's given from the information illustrated is given as:
y = 3 for (x/2) - 4
It should be noted that there is no phase shift and the period is 2π.
It should be noted that the vertical asymptote will be x = 3πn where no is represented as the integer at n = 0, 1, and -1.
Therefore, the vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be x = 0 and x = +2π.
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At the gym on Saturday, Reese ran 5 miles in the treadmill and then the completed 1 mile in the elliptical machine and burned 725 calories. On Sunday she ran 3 miles on the treadmill and completed 1 mile in the elliptical, and burned 505 calories. Write and solve a linear system to find the number of calories Reese burns on the machine
Answer:The equations are 5t + e = 725 and 3t + e = 505
Step-by-step explanation:Subtract equation (2) from equation (1) and you arrive at;
2t = 220
Divide both sides of the equation by 2
t = 110
Having calculated the value of t, substitute for the value of t into equation (1)
5t + e = 725
5(110) + e = 725
550 + e = 725
Subtract 550 from both sides of the equation
e = 175
The above calculations shows that the calories burned on each gym equipment are;
Treadmill = 110 per hour
Elliptical = 175 per hour
consider the expression 3 * 2 ^ 2 < 16 5 andalso 100 / 10 * 2 > 15 - 3. which operation is performed first?
In the given expression, the multiplication and division operations are performed first, followed by any addition and subtraction operations.
To evaluate the given expression, we need to break it down into individual operations and then apply the order of operations. Let's analyze each operation step by step:
Parentheses: In this expression, there are no parentheses, so we can skip this step.
Exponents: The exponentiation operation is denoted by the "^" symbol. However, in this expression, there are no exponents.
Multiplication and Division: The multiplication and division operations are performed from left to right. In the given expression, we have two multiplication operations: "\(3 * 2 ^ 2\)" and "100 / 10 * 2." According to the order of operations, we need to evaluate these multiplications before moving on to other operations.
First, let's consider "\(3 * 2^2\)" In this case, the exponentiation operation (^) takes precedence over multiplication. Therefore, we need to evaluate "\(2^2\)" first. Since 2 raised to the power of 2 is 4, the expression becomes "3 * 4."
Next, we have "100 / 10 * 2." As there are no other operations to perform before division, we can proceed with evaluating this expression. The division of 100 by 10 results in 10, and then multiplying by 2 gives us 20.
Addition and Subtraction: The addition and subtraction operations are also performed from left to right. In the given expression, we have "16 5" and "15 - 3" as the remaining operations.
Let's consider "16 5" first. The expression "16 5" is ambiguous because there is no operator between the numbers. It is essential to have a proper operator like ">" or "<" to determine the relationship between the two numbers. Without it, the expression is invalid.
Finally, we have "15 - 3." Subtracting 3 from 15 gives us 12.
Now that we have evaluated each operation, we can rewrite the expression as "3 * 4 < 12 and also 20 > 12."
To summarize, the operations are performed in the following order:
Exponents (if any)
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
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Find the Value of x
The value Bhave a specific equation or context in which x is used, here x = 17
Let the unknown number be x.
According to the problem, if 7 is subtracted from twice the number, the result is 27. In other words, we can write:
2x - 7 = 27
To solve for x, we can add 7 to both sides:
2x = 34
To solve a problem that involves an unknown number, we need to first define the unknown number as a variable. In this case, we define the unknown number as x.
Next, we need to translate the problem statement into an equation that relates the unknown number to the given information.
In this problem, we are told that if 7 is subtracted from twice the unknown number, the result is 27.
We can write this as:
2x - 7 = 27
To solve for x, we need to isolate it on one side of the equation. We can do this by adding 7 to both sides:
2x = 34
Finally, we can solve for x by dividing both sides by 2:
x = 17
Therefore, the unknown number is 17.
It's important to check our answer to make sure it is valid. We can do this by plugging our answer back into the original equation and seeing if it satisfies the conditions of the problem:
2(17) - 7 = 27
34 - 7 = 27
27 = 27
Finally, we can divide both sides by 2 to get:
x = 17
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Tim takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut he makes is 10 inches long and the width of the paper is 9 inches. What is the paper's length?
In a diagram, this is the information we have
Notice that, after cutting the sheet of paper, we get 2 right triangles.
We can use the Pythagorean theorem to find the length of the paper as follows:
\(\begin{gathered} (10in)^2=(9in)^2+(length)^2 \\ \Rightarrow\text{length}=\sqrt[]{(10in)^2-(9in)^2}^{} \\ \Rightarrow\text{length}=\sqrt[]{19in^2} \\ \Rightarrow\text{length}=\sqrt[]{19}in \end{gathered}\)The answer is sqrt(19) in, which is, approximately, 4.36 in
help please and thank you
Answer:
I think its right , acute and scalene
Step-by-step explanation:
I need help with these,I don’t know how to do it
Answer: 920485
Step-by-step explanation:
the math is simple math you see, when math is hard try your best and I know it makes no sense but, im telling you to quit so, sometimes in life you have to pull a fart and spread like water spreading away the correct answer is - ##########
Answer:use a protractor
Step-by-step explanation:
Simplifying Expressions ,