The expression with rational exponents as a radical expression by extending the properties of integer exponents is, [tex]\sqrt[6]{3}[/tex]
Define exponents for integers?The exponents that should be integers are those that are. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.
Given:
The given expression is,
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6} } }[/tex]
We know that,
[tex]\frac{x^{a} }{x^{b}}= x^{a-b}[/tex]
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}} = 3^{\frac{1}{3}-\frac{1}{6}}[/tex]
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=3^{\frac{1}{6} }[/tex]
Therefore,
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=\sqrt[6]{3}[/tex]
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the driving distance between phoenix and los angeles is 599kilometers. the driving distancce between pheonix and chicago is approximately 2.3 x 10^3. a. which city is nearer to pheonix, los angeles, or chicago
Answer:
Los Angeles
Step-by-step explanation:
If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.
find four consecutive multiples of 4 such that twice he sum of the least and greatest exceeds three times the least by 32.
According to the question, the four consecutive numbers can be written as :
First = [tex]x[/tex]; Second = [tex]x+2[/tex]; Third = [tex]x+4[/tex]; Fourth = [tex]x+6[/tex]
As per the question, the final expression is :
[tex]2((x+2)+(x+4)) = 3(x)+32[/tex]
[tex]4x+12 = 3x+32[/tex]
[tex]x = 20[/tex]
Therefore, the four values can be calculated by substituting the above value:
[tex]x=20; x+2=22; x+4=24; x+6=26[/tex]
The four consecutive numbers are: [tex]20,22,24,26[/tex]
Substitute the calculated values in the final expression, to check whether the answer is correct or not.
[tex]2(22+24) = 3(20)+32[/tex]
[tex]92=92[/tex]
Therefore, the calculated values are correct.
What are consecutive terms?
Consecutive terms are those terms which follow one sequential order.
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Consider the functions f(x)=-3x=3 and g(x)=-3x+4 find f(8)
Examine the question.
6x−3=Ax−3−2x
What value must A have for the equation to have infinitely many solutions?
A.) -2
B.) 4
C.) 8
D.) 2
>
EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?
Determine the solutions of the equation:
|1/4x+7|-3=24
x= -136 and x = 136
x= -136 and x = 80
x=-112 and x = 80
x= -80 and x = 80
Answer:
x = -136 and x = 80
Step-by-step explanation:
|(1/4)x +7| - 3 = 24
|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)
now:
(1/4)x + 7 = 27 (first solution)
(1/4)x = 20
x/4 = 20
x = 20×4
x = 80
(1/4)x + 7 = -27 (second solution)
(1/4)x = -34
x/4 = -34
x = -34×4
x = -136
tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15ºf. this means that the temperature inside the oven will be within 15ºf of the temperature to which it is set. write an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºf. let t represent the temperature inside the oven.
The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
How to to find the maximum and minimum temperatures ?The function of absolute value calculates the separation between a point and an origin.
A less-than-compound inequality is represented by:
[tex] |x| \leq a[/tex]
then the solution is
[tex] - a \leq \: x \: \leq \: a[/tex]
according to the question
Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:
[tex] |T - 400| \leq \: 15[/tex]
now apply the solution
[tex] - 15 \leq \: T - 400 \leq \:15[/tex]
then simplify this
[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]
[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]
Hence, The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
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Given the rule what is the new coordinate? Show all of your work.
Rule: (x, y) → (x - 7.5, y + 6.8)
Original coordinate: (5, 3)
Using translation concepts, the new coordinates are given as follows:
(-2.5, 9.8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
For this problem, the rule is given as follows:
(x, y) → (x - 7.5, y + 6.8)
This means that the figure is shifted:
7.5 units left.6.8 units up.The original coordinate is given by:
(5,3), meaning that x = 5 and y = 3.
Applying the rule, we have tat:
5 - 7.5 = -2.5.3 + 6.8 = 9.8.Hence the new coordinates are given as follows:
(-2.5, 9.8).
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if dr. lintz tried to make inferences about the outcomes of individuals based on her data of state legislatures, what mistake would she be making?
A unit of analysis is merely the entity under investigation. This is generally individuals but in case of Dr. Lintz, it really is state legislatures. The variables record information about the legislative bodies themselves, rather than the individuals who make up those bodies.
What is state legislatures?A state legislature is a broad term that refers to the legislative body in any of the 50 states in the United States. The formal name differs from one state to the next.
Some key features regarding the state legislatures are-
Every state (except Nebraska) has a bicameral legislature, which means the legislature is divided into two separate legislative chambers (or "houses"); Nebraska does have a unicameral, or one-chamber legislature. The smaller chamber is called the "Senate" in all bicameral legislatures and is commonly referred to as the "upper house." The smaller chamber generally, but not always, has the exclusive power to approve appointments made by the governor and to attempt articles of impeachment.To know more about the state legislatures, here
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Solve the equation. First estimate using the perfect square closest to 78 . Then use a calculator. Estimate. n2=78 (the 2 is meaning squared)
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Work below!
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My estimate: 8.8 x 8.8 = 77.44
Calculated answer: 8.8 x 8.8 = 77.44
Why are they the same? Because 78 is simply not a perfect square. Therefore 77.44 must be rounded up to 78.
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Good luck! :)
~pinetreee
Write the expression that represents this phrase: the quotient of 10 and x
The given statement "the quotient of 10 and x" can be written in the form of an expression as 10/x
What is an Expression?An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.
Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.
The given statement "the quotient of 10 and x" can be written in the form of an expression as shown below.
The quotient of 10 and x → 10/x
Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x
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Find the coordinates of the vertices of the figure after the given transformation.
reflection across the x-axis
H(−4, 3), I(−1, 5), J(−4, 0)
The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)
How to find the coordinates of the vertices of the figure after the given transformation?The coordinates of the vertices of the figure are given as:
H(−4, 3), I(−1, 5), J(−4, 0)
The transformation is given as:
A reflection across the x-axis
The rule of reflection across the x-axis is
(x, y) = (x, -y)
When the above rule is applied on the coordinates of the vertices of the figure, we have:
H' (−4, -3), I'(−1, -5), J(−4, 0)
Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)
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k+4=5
k=?
Please I need help
Answer:
1 its an obvious answer cause 1+4=5
What form of correspondence does the function f(x) = 2x + 5 have?
A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one
What is Function?A function is defined as a relation between a set of inputs having one output each.
we need to check correspondence of the function f(x) = 2x + 5.
f(x)=2x+5
f'(x)=2
i.e increasing function (one-one).
But it is not onto because f(x) does not take all values in N.
Range of f(x)=Codomain.
It is a one one function.
Therefore the given function f(x)=2x+5 is a one one function.
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Give the digits in the ones place and the tenths place.
80.97
ones:
tenths:
10
X
S
For the given number, the digit at ones place is 0 and at tens place is 8.
What number comes in tenths place?The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
For the number, 80.97
This number can be written as = 80 + 0.97
The digit at ones place is 0
and digit at tenths place is 8
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
O
U/N N/UT
아름
25 52
이름
돌
The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.
According to the given question.
We have a line AB containing the points A(4, 5) and B(9, 7).
Here, we have to find the slope of line AB.
As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).
Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)
= (7 - 5)/(9 - 4)
= 2/5
Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.
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slove this 97-29+34-45*3
Answer:
-33
Step-by-step explanation:
evaluate the expression
Answer:
16
Step-by-step explanation:
Step 1. Plug the numbers into the equation
Step 2. Solve using PEMDAS
[tex]\frac{6 ( 6 + 2)}{3}[/tex]
[tex]\frac{6 ( 8 )}{3}[/tex]
[tex]\frac{48}{3}[/tex]
16
Answer:
6(a+c)÷b
6(6+2)÷3
6×8÷3
48÷3
16 Ans
Step-by-step explanation 16is the answer
Are they similar? Yes or no
Answer:
yesss
Step-by-step explanation:
yes there similar
i think
pls mark brainliest
Please help need the answer fast
Answer:
of answer 22837 if I am correct
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.
Answer: a. 18 teaspoons
b. 6 tablespoons
Step-by-step explanation:
a. 1 tsp: 15 sq ft
270 sq ft * 1 tsp/15 sq ft=
270 * 1/15=
270/15=18 teaspoons
b. 3 tsp = 1 tbsp
18 tsp * 1 tbsp/3 tsp=
18 * 1/3=
18/3=6 tablespoons
what is the range of values for the measurement 500-+4%
Answer:
480-520.
Step-by-step explanation:
4% of 500 = 500 * 4 / 100 = 20
an air conditioning system can circulate cubic feet of air per minute. how many cubic yards of air can it circulate per minute?
We know that ,
1 feet= 0.33 Yard
Given that .
An air conditioning circulate 1 cubic foot per minutes
So it circulates 0.33 Yards per minute .
an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute13.32 yards per minute
Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,
Rate = volume/time. Which is
360 = volume/ 1
Volume = 360 cubic feet
Convert cubic feet to cubic yard
1 cubic foot = 0.037 cubic yards
Multiply this by 360
Cubic yards = 360 × 0.037
Cubic yards = 13.32
Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute to 13.32 cubic yards of air which can circulate air per minute
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WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?
Step-by-step explanation:
21 seconds. pretty sure
17 added to 4 times a number is 57.
(4n)17 = 57
(17 + 4)n = 57
17 + 4n = 57
17 + 4 + n = 57
Given −29.032 ÷ −0.76, find the quotient.
Answer:
38.2
Step-by-step explanation:
[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]
Notice every time a number ended up in the hundreds place, it was because a number for example, 2, was dropped into the next digit of the number. Let's say I get 18 from subtracting, and there is a 4 in the hundreds place, then 18 becomes 184 subtracted by any number below it that the divisor can multiply to.Note: Anytime 2 negative numbers are divided by each other, they will have a positive quotient.answer the question in the photo 50 POINTS!!
Answer:
infinitely many solutions
Step-by-step explanation:
which is the order from least to greatest of the following: eight sevenths, one sixth, 0.2, thirty two percent?
The order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.Given fractions: 8/7 (eight sevenths), 1/6 (one sixth) , 1/5 (0.2), 8/25 (32%).
Now, here,
[tex]\frac{8}{7} = 1.14[/tex][tex]\frac{1}{6} = 0.1667[/tex][tex]\frac{1}{5}=0.2[/tex][tex]\frac{8}{25}=0.32[/tex]Thus, the order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
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conclusions concerning cause-and-effect relationships are only possible when the method is used. a. survey b. experimental c. correlational d. descriptive
Conclusions concerning cause-and-effect relationships are only possible when the method is used by Experimental.
Cause and effect relationship is the concept that states about happening of a particular event causes another event to take place. Cause is the action that makes occurrence of effect. Cause is the reason because of which a event happens and effect is the result of that.
Conducting an experiment can clarify the concept to make it more understandable as conduction the experiment is the cause and the outcome is the effect caused due to experiment.
Other options are not appropriate as co-relational research measures two factors to understand relation without experimenting. Naturalistic observation is observing the happening of the natural surrounding and survey is recording the happening or event. Thus, the correct option is option(d).
The primary reason descriptive/correlational research cannot determine conclusively that variables have a cause-and-effect relationship is because in conducting researchThe researcher can't control occasions or control factors. A correlational report is a quantitative strategy for the look into in which you have at least 2 quantitative factors from a similar gathering of subjects, and you are attempting to decide whether there is a connection between the 2 factors.
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The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 12 cases
he constant of proportionality is
enter your response here millimeters per DVD case.
Answer: ---
Step-by-step explanation:
Divide the hight of the stack by 8, multiply that by 12, you should have your answer