The equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]
Complete questionWhich expression is equivalent to [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
Apply the exponent law of indices
[tex](\frac{x^{-9}y^5}{x^{-4}y})^{2}[/tex]
Next, we apply the common base law of indices
[tex](x^{4 -9}y^{5-1})^2[/tex]
Evaluate the difference
[tex](x^{-5}y^4)^2[/tex]
Remove bracket
[tex]x^{-10}y^8[/tex]
Hence, the equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]
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Answer:
y^8/x^10
Step-by-step explanation:
The guy above me is right but just forgot to distribute the negative out of x. :)
Can you please help me
Answer:
1/3
Step-by-step explanation:
DE/AB = EF/BC = FD/CA
15/45 = 9/27 = 8/24 = 1/3
hope this will help u
What type of polynomial is P(x)=x^3-1?
According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3
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whenx=2y=50 and whenx=4y=100 Which direct variation equation can be used to model this function?
The equation which is used to model this function is y = 25x.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
x=2 , y=50
x=4, y=100
As, corresponding to x =2 , y =50
For x=1 , y=25
Hence, the equation which is used to model this function is y = 25x.
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What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction? What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction ?
Answer:
Both the numerator and denominator should be multiplied by the same number to arrive at the equivalent fraction.
Step-by-step explanation:
Equivalent fractions = two or more than two fractions are said to be equal if both results the same fraction after simplification.
For example, consider the fraction 1/3
Multiplying numerator and denominator with 2, we get 1/3 × 2/2 = 2/6
Multiplying numerator and denominator with 3, we get 1/3 × 3/3 = 3/9
Multiplying numerator and denominator with 4, we get 1/3 × 4/4 = 4/12
Therefore, we can conclude that,
1/3 = 2/6 = 3/9 = 4/12 these are equivalent fractions.
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Answer: 2 and 6/8
Step-by-step explanation:
If lines / and mare parallel, and D6 = 1150, which is D4?
Answer:
D. 115
Step-by-step explanation:
because if Angle 6 is 115 then so is Angle is 4 due to AIA (alternate Interior Angles)
Which of the following is not a good conductor of heat?
expand and simplify (2x+5)(3x+1`)
Answer:
6x^2 + 17x + 5
Step-by-step explanation:
(2x + 5)(3x + 1)
= 6x^2 + 2x + 15x + 5
= 6x^2 + 17x + 5
The expression (2x+5)(3x+1) is a product of two binomials. To expand this product, we multiply each term in the first binomial by each term in the second binomial, using the distributive property of multiplication.
When we multiply 2x by 3x, we get 6x^2.
Then we multiply 2x by 1, which gives us 2x.
Next, we multiply 5 by 3x, which gives us 15x.
Finally, we multiply 5 by 1, which gives us 5.
Putting these terms together gives us the expanded form of the expression:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying, we can add the 2x and 15x terms to get 17x, giving us the final simplified expression:
(2x+5)(3x+1) = 6x^2 + 17x + 5.
Write the algebraic expression for the following statement.
The sum of a number and 3 is 14.
Answer:
the algebraic expression is; x+3=14
Which graph represents the following system of inequalities? x < - 2x + 4; y < x + 3; x < 3
Graph C represents the following system of inequalities. For clarification refer to the attachment.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given relations;
x < - 2x + 4
y < x + 3
x < 3
Hence graph C represents the following system of inequalities.
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Here is an equation: 5x - 2y = 10
Create 3 equations that result in…
1. 1 solution
2. No Solutions
3. Infinitely many solutions
You should provide three different answers and an explanation why your equations work.
Answer:
one solution from the amount of numbers
what is an equivalent expression
Answer:
1st option
Step-by-step explanation:
using the rules of logarithms
• log x + log y = log xy
• n logx ⇔[tex]x^{n}[/tex]
given
2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] (9 × 3)
= [tex]log_{2}[/tex] 27
State whether the following physical quantities are scalars or vectors: a. Pressure. b. Electric current. c. Conductivity. d. Electric conductance. e. Frequency. f. Heat capacity. g. Impedance. h. Power. i. Torque. j. Latent heat
This is further maths questions
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \large Scaler : [/tex]
Pressure Electric current Conductivity Electric Conductance Frequency Heat capacity PowerLatent heat[tex]\qquad \tt \large Vector : [/tex]
ImpedanceTorque____________________________________
[tex] \large \tt Explanation \: : [/tex]
[tex] \textsf{Scaler quantity : } [/tex]
Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.
Operations on Scaler quantities can be done by simple algebraic rules.
Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc
[tex] \textsf{Vector quantity } [/tex]
Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.
Vector algebra is used for operations on vector quantities.
Eg. Impedance, Torque, etc
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
(X-3)2 -0
Ajuda, alguém ajuda?
Answer:
(X- 3)² - 0
(X - 3 )( X - 3 )
x² + 9 - 6x
x² - 6x + 9
a = 1
b = -6
c = 9
16-2t=3/2t+9 solve for t
answer: t=2
steps:
16-2t = 3/2t+9
7 = 3/2t + 2t
2 is 4/2
7 = 3/2t + 4/2t
7 = 7/2t
7/2t = 7
(2/7)7/2t=7(2/7)
t=7(2/7)
t=2
URGENT: Which equation correctly uses the value of b to solve for a?
Triangle ABC is a right triangle and cos(22.6°) = [tex]\frac{b}{13}[/tex]. Solve for b and round to the nearest whole number.
OPTIONS:
1 ) tan(22.6°) = [tex]\frac{a}{13}[/tex]
2 ) tan(22.6°) = [tex]\frac{13}{a}[/tex]
3 ) tan(22.6°) = [tex]\frac{a}{12}[/tex]
4 ) tan(22.6°) = [tex]\frac{12}{a}[/tex]
Answer:
Option 1
Step-by-step explanation:
See attached image
The lowest point in the United States is the Death Valley in California. Its altitude is 282 feet below sea level. Identify the integer representing the lowest point (Death Valley).
Answer:
-282
Step-by-step explanation:
Any altitude below sea level would have a negative sign in front of it.
Can someone help me with this?
D option is correct by SSS congruence rule
Now write 40,630 in scientific notation
Answer:
40630=4.063× 10 power 4Which of the following segments is tangent to the circle? 1 overline HI 2 ) overline DE 3) overline FG 4 ) overline AC
Answer:
DE
Step-by-step explanation:
a tangent is a straight line that only touches the circle at one point.
A researcher finds that the more hours students party per week, the lower their gpas (grade point averages). she questions whether there may be other issues affecting the students' gpas that weren't taken into account, such as the number of hours spent studying, class attendance, or the number of hours worked at campus jobs. what are these additional factors called
Answer:
I believe "uncontrolled variables."
Step-by-step explanation:
Since there was no measure, nor control, of these other variables, the data may be questionable.
What’s the answer helppppppp
Answer:
the answer is d........
The graph represents the piecewise function
The piece-wise function is defined as follows:
[tex]f(x) = x^2, 0 \leq x < 3[/tex].[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex].[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex].What is a piece-wise function?A piece-wise function is a function that has multiple definitions, depending on the input.
In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:
[tex]f(x) = x^2, 0 \leq x < 3[/tex]
For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:
[tex]m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}[/tex]
[tex]f(x) = -\frac{5}{3}x + b[/tex]
Goes through (3,9), hence:
[tex]9 = -\frac{5}{3}(3) + b[/tex]
b = 14.
So
[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex]
For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:
[tex]m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}[/tex]
Then:
[tex]f(x) = \frac{3}{2}x + b[/tex]
When x = 10, f(x) = 10, hence:
[tex]10 = \frac{3}{2}(10) + b[/tex]
10 = 15 + b
b = -5.
Hence:
[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex]
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The measure of central angle QRS is 8pi/9 radians. What is the area of the shaded sector?
The area of the shaded sector must be 144π units².
What is the area of the circle?The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = [tex]\pi r^{2}[/tex]
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.7% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 10 customers buy a magazine?
The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.
Given suspicion of 9.7% that buy a magazine is correct.
We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.
The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.
[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]
In which [tex]C_{n,x}=n!/x!(n-x)![/tex]
And P is the probability of happening of X.
In the question 9.7% of his customers buy a magazine.
So the value of P=0.097
This can be calculated by :
P(X=5) when n=13
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]
=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]
[tex]=10!/5!5!*0.0000085*0.600397[/tex]
=252*0.00000510
=0.001286
Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.
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two consecutive odd integers such that 4 times the larger is 29 more than 3 times the smaller
Answer:
21
Step-by-step explanation:
a,a+2,..
4(a+2)=29+3a
4a+8=29+3a
4a-3a=29-8
a=21
A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.
It should be noted that the volume of the pyramid will be 14.8 unit³.
From the information given, the solid right pyramid has a regular hexagonal base with an area of 7.4 units².
The height of the pyramid is also 6 units.
Therefore, the volume of the pyramid will be
What is the formula for the area of the pyramid?= 1/3 × Area of the base × height
= 1/3 × 7.4 × 6
= 14.8 units³
In conclusion, the volume of the pyramid is 14.8 unit³.
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Given the image below, find the maximum value for z.
-3.5 < z < ___
I am so confused on how it's even possible to solve this
Answer:
-2.5 < x < 71
Step-by-step explanation:
I don't see a 'z' here, so I'll use x from the picture.
You would line up your values as such:
0 < 2x+5 < 71
You have a zero at the beginning because even without having an x value, your outcome would still be 5.
Subtract 5 from all sides.
-5 < 2x < 66
You now divide by two on both sides.
-2.5 < x < 33.
Which is your final answer.
You cannot go over 33, since 71 is your largest angle, and having something like say, 34, would give you 73.
-2.5 is your lowest value since if you went lower, you would have a negative angle, which isn't possible.
Describe a real-world example in which hidden variables may be an issue, taking care to identify each variable and its relationship to the others.
A real-life example of a hidden variable would be age in research that checks the correlation between shirt sizes in grade school and reading ability.
What is a real-world example of hidden variables?In a research that checks whether student shirt sizes (independent variable) have an impact on reading ability, it is found that students with high shirt sizes are better at reading.
A hidden variable here is age. Students who are older will more likely have a higher shirt size and better reading comprehension.
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i need these missing blanks please..
The ratio of boys to girls in a classroom is 2 : 3. If there are
20 children in total, how many boys are there?
Answer:
8
Step-by-step explanation:
let the ratio constant be 'x'
=> 2x:3x
sum = 2x + 3x = 5x
Total number of boys
=>(2x/5x)20 = 8
The ratio of boys and girls in a classroom is 2 : 3 respectively. If the total number of children is 20. How many boys are there in the class ?
Explanation -:In this question we are provided with the ratio of boys isto girls that is 2 : 3 it is also given that total number of children are 20. We are asked to calculate number of boys.
[tex] \green{ \small \pmb{\tt{ First \: we \: will \: form \: an \: equation }}}[/tex]
Let us assume the number of girls as 3x and number of boys as 2x.
Total number of children = 20
3x + 2x = 20
[tex] \orange{\small \pmb{\tt{ Now \: we \: will \: solve \: this \: equation }}}[/tex]
[tex] \small\frak{ 3x + 2x = 20}[/tex]
[tex] \small\frak{ 5x = 20}[/tex]
[tex] \small\frak{ x = \dfrac{20}{5} = 4}[/tex]
[tex] \small \underline{ \boxed{\pmb{x = 4} }} \large \: \star[/tex]
Boys = 2 × 4 = 8
Girls = 3 × 4 = 12
Hence 8 boys and 12 girls are there in the classroom.[tex] \tiny \tt{spbankingandsscseries}[/tex]
