The missing factor in the given expression x³ = x²(?) is; x
How to solve laws of exponents?
The laws of exponents are;
1) When multiplying like bases, keep the base the same and add the exponents.
2) When raising a base with a power to another power, keep the base the same and multiply the exponents.
3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.
Now, we are given the expression;
x³ = x²(?)
The question mark indicates a missing term. Thus, we will use division property of equality to divide both sides by x² to get;
x³/x² = x
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URRGENT PLEASE HELP!!!! DOC ATTACHED
1. A conditional statement can be written as
If it is sunny then there is daylightThe hypothesis is: It is sunny
The conclusion is: there is daylight
2. The converse of the conditional statement
If there is daylight then it is sunny3. The inverse of the conditional statement
If it is not sunny then there is no daylight4. The contrapositive of the conditional statement
If there is no daylight then it is not sunny5. The biconditional statement and can be written because the statement and the converse are both true
6. The biconditional statement is
it is sunny if and only if there is daylightHow to identify a conditional statementA conditional statement is a term used in logic that refers to the type of statement that has "if-then". It is sometimes called if-then statements. Conditional statement are of two parts the hypothesis required to ensure that the conclusion. Other forms of conditional statements are
converse statementinverse statementcontrapositive statement Biconditional statementRead more on conditional statements here: https://brainly.com/question/11073037
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Zachary has a container of worms for fishing. When empty, the mass of the container is 225 grams. With the worms in it, the container has a total mass of 751.4 grams. Each worm has a mass of 11.2 grams. How many worms are in the container? Write and solve an equation to model this equation.
Solving a linear equation we will see that there are 47 worms in the container
How many worms are in the container?We know that the mass of the container is 225 grams, and the mass of each worm is 11.2 grams.
Then if there are x worms on the containers, the total mass is:
M(x) = 225g + x*11.2g
In this case, we know that the total mass is 751.4 grams, then we can write:
751.4 g = 225g + x*11.2g
Solving this linear equation we get:
751.4g - 225g = x*11.2g
526.4g = x*11.2g
526.4g/11.2g = x = 47
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22
When two musical notes are a "fifth" apart, the frequency of the lower
note is the frequency of the higher note. Using f as the frequency of
the higher note, write an expression for the frequency of the lower
note.
A physics concept called frequency describes how many cycles a wave completes each second. As a result, the following expression is used to get the lower note's frequency [tex]\frac{2}{3}[/tex] f
What is wave ?A wave is a phenomena that moves through a physical medium without leaving any lasting impression on the molecules therein. Energy is transferred from one end of the medium to the other. Sound waves, light waves, electromagnetic waves, etc. are some examples.
Frequency develops during wave propagation. This can be characterized as the number of cycles a wave makes in a second. It's also measured in Hertz.
Let f stand for the upper note's frequency and for the lower note's frequency we have [tex]f_{1}[/tex]. We therefore have;
[tex]f_{1}[/tex] =[tex]f\frac{2}{3}[/tex]
Therefore, the expression for the frequency of the lower notes is [tex]\frac{2}{3}[/tex] f.
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0.25 meses en días y horas.
Answer:
0.25 Months =7.6099 Days= 7 Days, 14 Hours, 38 Minutes and 19 Seconds
In Spanish
0.25 Meses =7.6099 Días= 7 Días, 14 Horas, 38 Minutos y 19 Segundos
For the function f(x)=x2−9, find (a) f(x+h), (b) f(x+h)−f(x), and (c) f(x+h)−f(x) h.
Step-by-step explanation:
a)
[tex]f(x+h) = 2(x+h)-9[/tex]
[tex]f(x+h)=2x+2h-9[/tex]
b)
[tex]f(x+h)-f(x)=2x+2h-9-(2x-9)[/tex]
[tex]f(x+h)-f(x)=2x+2h-9-2x+9[/tex]
[tex]f(x+h)-f(x)=2h[/tex]
c)
[tex]f(x+h)-f(x)h=2x+2h-9-h(2x-9)[/tex]
[tex]f(x+h)-f(x)h=2x+2h-9-2hx+9h[/tex]
[tex]f(x+h)-f(x)h=-2hx+11h+2x-9[/tex]
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
The pressure is 672 pounds per square foot at a depth of 10.5 feet.
When a force is delivered to an object's surface perpendicularly to the region across which it is applied, the force is known as pressure (symbol: p or P).
The pressure in relation to the surrounding air is known as gauge pressure, also spelled gage pressure.Pressure is expressed using a variety of units. The standard unit of pressure in the imperial and U.S. customary systems is the pound-force per square inch (psi), which is equal to one newton per square meter (N/m²) in the SI. Some of these conclusions come up as a result of dividing a unit of force by a unit of area.a. The given formula is is P=64d
or , d = P ÷ 64
b. at a pressure of 672
d = 672 ÷ 64
or, d = 10.5 feet
Hence the water pressure on the submerged object is given by
d = P ÷ 64
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Which of the following could be a real-world description of the quantity three times x end quantity divided by 8?
A. The cost of a pizza split by 8 people plus a $3 tip
B. The cost of a pizza plus a $3 tip divided by 8 people
C. The cost per pizza for 3 pizzas divided by 8 people
D. The cost per pizza for 8 pizzas divided by 3 people
in evaluating the expression 8+ 9/4 (-2) jenny found the volume to be 25/2. she thinks that the number is too great, but is not sure what she did wrong
In evaluating the expression 8+ 9/4 (-2) Jenny found the volume to be 25/2. The mistake she made was
volume = 8 1/4.
What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
8+ 9/4 (-2) = ?
Hence we solve
(8 – 2) + (9/4 - 0)
6+9/4
The number four is the Least Common Multiple (LCM) of the number one. Multiply each fraction's numerator and denominator by whichever number will result in the denominator of each fraction being equal to the LCM, and then subtract that value from 1.
Subtract the numerators now that the fractions have the same denominators.
9 - 0/4 = 9/4
As we convert to whole numbers we have
9/4 = 2 1/4
Hence
=6 +2(1/4)
=8 1/4.
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Eight billion eighty-one million, one hundred and one thousand, five hundred and thirty-one in figures
Answer:
8,081,101,531
Step-by-step explanation:
8,081,101,531
What is sector length?
Sector length is the distance between two points along a section of a curve.
Answer:
Arc length is calculated using the relation : Arc length = l = (θ/360) × 2πr. Therefore, Perimeter of a Sector = 2 Radius + ((θ/360) × 2πr )
I need to find the independent and dependent quantity and a statement that describes the relationship between the independent and dependent quantities
We have two relations between length of the trench and time.
Case: we want to know how many feet we can dig in a certain amount of time.
In this case, and in most of the cases, time is the independent quantity.
Therefore, the dependent quantity is the other variable: length of the trench.
For example, we can write a proportional relationship between time (x) and length (y) as:
[tex]y=k\cdot x[/tex]We know that when x=40 min, y=36 ft, according to the machine advertisement.
Then, we can find k as:
[tex]k=\frac{y}{x}=\frac{36}{40}=0.9\text{ ft/min}[/tex]And we can write the relation as:
[tex]y=0.9\cdot x[/tex]Answer: the independent quantity is time (in minutes).
NOTE:
Which variable is which depends on what we want to calculate.
If we want to know how much it will take to make a certain length of trench, the independent quantity is the length of the trench. The dependent variable is, in this case, time, as we calculate it from the information about the length of the trench.
If we want to calculate the length of the trench we can dig in a certain time, the independent quantity is time and the dependent quantity is the length of the trench.
if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?
The location of the point B on the line with the endpoints is 63
How to determine the coordinates of the segment?On the segment, we have the following endpoints
A = -3
C = 8
Rewrite the endpoints of the line segment as
A = (-3,0) and C = (8,0)
The ratio of the line is given as
Ratio, A : B = 1 :5
This means that
Point C = A/A + B
So, we have
C = 1/1 + 5
Evaluate
C = 1/6
The coordinate of point C on the line segment is calculated using
Point C = C * (B - A) + A
So, we have
8 = 1/6 * (B + 3) - 3
This gives
1/6 * (B + 3) = 11
So, we have
B + 3 = 66
Subtract 3
B = 63
Hence, the coordinate of the point B on the line segment is 63
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Possible question
if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B?
A = -3 and C = 8
Write an equation for the line point slope form and slope intercept formSlope= -6Passing through -3,-7
For this question, we recall the point-slope form of the equation of a line:
[tex]y-y_0=m(x-x_0)[/tex]and the slope-intercept form:
[tex]y=mx+b[/tex]Therefore for the given data, the point-slope form is:
[tex]\begin{gathered} y-(-7)=-6(x-(-3)) \\ y+7=-6(x+3) \end{gathered}[/tex]and the slope-intercept form is:
[tex]\begin{gathered} y=-6x-18-7 \\ y=-6x-25 \end{gathered}[/tex]Solve for x. Below is the equation.
x = 110
Angle 4 is a vertical angle to the 115 degrees angle. Therefore, it must be the same in degree measure. So, we know angle 4 is 115 degrees.
Additionally, angle 4 and angle (x+5) are co-interior angles. This means that they should add up to 180 degrees.
Applying these concepts, we can create an equation:
115 + (x+5) = 180.
When we solve, we end up with x = 110
Find the product. Write your answer as a mixed number in simplest form.
4 × 1 8/9
Answer: 68/9 which simplifies into 7 6/9
Mike decided to rent an airpod from from applerental.com. The website advertised an Airpod rental of $5 a week with a down payment of $10.
How much is the total cost if Mike rented the Airpod for 6 months? (hint: there are 4 weeks in a month)
If the website advertised an Airpod rental of $5 a week with a down payment of $10, then the total cost he paid if he rented the Airpod for 6 months is $130
The amount he paid for down payment = $10
The rent amount for the airpod for one week = $5
We know,
There are 4 weeks in a month
Number of weeks in 6 month = 6×4
= 24 weeks
The total amount her paid for if he rented the airpod for 6 months = The amount he paid for down payment + (The rent amount for the airpod for one week ×24)
= 10+5×24
= 10+120
= $130
Hence, if the website advertised an Airpod rental of $5 a week with a down payment of $10, then the total cost he paid if he rented the Airpod for 6 months is $130
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someone help pleasee
no answer for this question
i need help, please
Answer:
[tex]\frac{51}{4}[/tex]
Step-by-step explanation:
Since they are similar we can set up direct proportions
FE:CB=DE:AB
y:6=17:8
[tex]\frac{y}{6} =\frac{17}{8}[/tex]
cross multiply
8y=17*6
divide by 8 each side
[tex]\frac{51}{4}[/tex]
The area of a rectangle is 69.75 square inches. The rectangle has a length of 9.3 inches. What is the width of the rectangle?
Enter the correct answer in the box.
inches
Answer:7.5 inches
Step-by-step explanation:
69.75/9.3=7.5
Use the Distributive Property and mental math to find the product.
5(88)
Please Explain how to do it. Everyone else is saying the answer is 440, which I know.
3,984 is what % of24.9? how do you solve it?
Answer:
16000
Step-by-step explanation:
3984:24.9*100 =
(3984*100):24.9 =
398400:24.9 = 16000
What is the slope of the line on the graph
Twice a number is 34 less than 4 times the number. Find the number.
The number is 17.
Let's assume that the number is x.
So according to the question twice a number is 34 less than 4 times the number.
Then, the equation formed will be as follows
⇒ 2x = 4x - 34
Solving the equation we get the value of x which is the respective number.
Combine the like terms then proceed with calculations.
⇒ 4x - 2x = 34
⇒ 2x = 34
Divide both sides of the equation by 2.
⇒ x = 17
Hence the number whose twice is 34 less than 4 times the number is 17.
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word problem for 4x - 3 = 17?????
Answer: My bill was 17 dollars. I gave four tokens of equal monetary value to the cashier who gave me in return 3 one dollar bills. How much was each token worth?
Step-by-step explanation: 4x - 3 = 17.
add 3 to both sides
4x = 20
x = 5. Each token was worth $5.
What is the surface area of the pyramid?
Answer:
d
Step-by-step explanation:
becuase you multiply leght times width then multiply height so it turns out to be
6x6=36
36x6=180
One dealer in sports shirts offers a dozen at 5000 list price, less a 15% discount. A second offers the same shirts for 5200 pesos a dozen less a 20% discount. Which is the better offer and by how much?
Call the two offers offer A and B respectively.
For offer A, the list price is 5000 pesos with a 15% discount. So you will pay:
[tex]A=5000(0.85)=4250\text{ pesos}[/tex]For offer B, the list price is 5200 with a 20% discount. So you will pay:
[tex]B=5200(0.8)=4160\text{ pesos}[/tex]So the first deal is costing 4250 pesos and second one costs 4160 pesos.
Hence the second deal is better by 4250-4160= 90 pesos.
The second deal is the better deal by 90 pesos.
A = $16,000, r= 11.0%, t = 5
Answer:
9495.221
Step-by-step explanation:
16000=Pe^(0.11x5)
Factor and SOLVE the following quadratic, 3x^2 + 13x = -4, and select all solutions that apply.-1 4121/3-1/3-4
the equation given
we can rewrite the equation as
[tex]3x^2+13+4=0[/tex]to solve this question, we can use any of the given mehod known to solve quadratic equations which are
1. factorization
2. completing the squares
3. using quadratic equation
for the purpose of this tutoring session, i'll use quadratic equation also know as quadractic formula
the formula is given as
[tex]x=-b\pm\frac{\sqrt[]{b^2-4ac}}{2a}[/tex]next we proceed to identify the variables
[tex]\begin{gathered} 3x^2+13x+4 \\ a=3 \\ b=13 \\ c=4 \end{gathered}[/tex]now we can input the values into the equation (formula) above
[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-13\pm\sqrt[]{13^2-4(3)(4)}}{2(3)} \\ x=\frac{-13\pm\sqrt[]{169-48}}{6} \\ x=\frac{-13\pm\sqrt[]{121}}{6} \\ x=\frac{-13\pm11}{6} \\ x=-\frac{13+11}{6} \\ or \\ x=-\frac{13-11}{6} \\ x=-\frac{2}{6} \\ or \\ x=-\frac{24}{6} \\ x=-\frac{1}{3} \\ or \\ x=-4 \end{gathered}[/tex]from the calculations above, x = -1/3 or x = -4
A square swimming pool is surrounded by a cement sidewalk that is 3 feet wide. Enter two different function representations for the total area that the swimming pool and sidewalk enclose, A(x), if the length of the pool is x feet long
Step-by-step explanation:
the area function for the square pool itself is
A(x) = x² ft²
the area function for the pool and its sidewalk is
A(x) = (x + 6)² = x² + 12x + 36 ft²
simply because in this case the side length of the square is x+3+3 ft long (3ft added on both edges).
A simple random sample of 20 items resulted in a sample mean of 15. The population standard deviation is = 9. Round your answers to two decimal places.
Based on the number of items in the simple random sample, and the sample mean, the standard error of the mean can be found to be 1.12
How to find the standard error?The standard error of a simple random sample can be found by the formula:
= Population standard deviation / √Number of items in simple random sample
Solving for the standard error gives:
= 5 / √20
= 5 / 4.4721359549995793928183473374626
= 1.118
= 1.12
We can therefore conclude that the standard error of this sample is 1.12.
Rest of the question:
What is the standard error of the mean?
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