Answer:
Step-by-step explanation:
As we know that ,
m^a = 1/(m^8)
hence using a law of exponent ,
m^a= m^-8
now bases are same then power will be also same ,hence
a=-8
please
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Assuming that the x-axis tick marks will be separated by 5 (5, 10, 15, and so on), what is the largest value that should appear on the x-axis
The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.
Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.
To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.
However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.
Therefore, the largest value is 95.
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. (a) For any metric space X, prove that there exists a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y. (b) Prove or disprove: If (X, d) is a compact metric space and f: (X,d) → (X, d) [3] is an isometry, then f is onto.
(a) To prove that for any metric space X, there exists a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y.
(a) Let X be a metric space. Consider Y = X with the same metric as X. Define the function f: X→ Y as the identity function, where f(x) = x for all x in X. Since f is the identity function, it is an isometry. However, f(X) = X, which is the entire space Y and is not an open subset of Y. Thus, we have shown the existence of a metric space Y and an isometry f: X→ Y such that f(X) is not an open subset of Y.
(b) The statement is true. Suppose (X, d) is a compact metric space and f: (X,d) → (X, d) is an isometry. To prove that f is onto, we need to show that for every y in X, there exists x in X such that f(x) = y. Since f is an isometry, it is a bijective function, meaning it is both injective and surjective. Therefore, f is onto.
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i need help with this badly please
Answer:
27mm
Step-by-step explanation:
Answer: 65
Step-by-step explanation: :)
Which line is parallel to the graph of the line y=−23x−5?
Please help! I will give brainlist
1.) complementary angles add up to 90°
2.) supplementary angles add up to 180°
3.)The three angle measures = 32°,28°,30°
What are complementary angle?The complementary angles are those angles that sums up to 90° while supplementary angles are those angles that sums up to 180°.
For question 3.)
The three angles as
re complementary angles that sums up to 90°
that is;
X+3+X-1+X+1 = 90°
3x +3 = 90
3x = 90-3
3x = 87
X = 87/3
X = 29
The three angle measures = 32°,28°,30°
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Write an algebraic expression that represents each verbal expression: 6 times a number plus 3
\(\huge \text{Hello there! :)}\)
Answer:
The algebraic expression is as followed:
➛ \(\huge \text{6(n+3)}\)Step-by-step explanation:
Given the following question:
➛ 6 × a number➛6 × n➛plus 3 ➛ equals6(n+3)what is a algebraic expression?It's an equation built up by integers, variables, and many different operations like addition and subtraction.In this case 6 and 3 are the integersn is the variable6 times and + 3 are the operationsAll form together to make a algebraic expression.Hope this Helps! :)If you have any doubts about my answer please let me know.
\(-Nature-\)
\(\huge \text{Thanks for choosing Brainly! :)}\)
A bag contains 10 black, 15 white, and 25 blue marbles. What is the probability of randomly selecting one
marble that is NOT black?
Answer: 0.8 or 80%
Step-by-step explanation:
First find the total number of marbles:
10 + 15 + 25 = 50 marbles total
To find the number of marbles that are not black:
15 + 25 = 40 marbles that are not black
Set up ratio:
\(\frac{40}{50}\) = 0.8 or 80%
why is the square root of 25 a rational number?
Answer:
Because √25 = 5 and 5 can be written in the form of a fraction 5/1.
Step-by-step explanation:
It proves that √25 is rational.
Answer:
the square toot of 25 is = 5
Step-by-step explanation:
therefore
5√5
= 25
√25 is equal to 5
= 5
i hope it helps
Is the function y = -x5 - 5 linear or nonlinear?
what is the mean difference of the means? enter the nearest whole number.
The mean difference of the means is a measure of central tendency that quantifies the difference between the means of two data sets. It is calculated by subtracting one mean from the other and taking the absolute value of the result.
The formula for calculating the mean difference of the means is:Mean Difference of the Means = | Mean₁ - Mean₂ |Therefore, to calculate the mean difference of the means, you need to find the means of the two data sets and subtract the smaller mean from the larger mean. The result will be the mean difference between the means.
It is important to note that the mean difference of the means can be positive or negative depending on which mean is larger. So, to enter the nearest whole number, you would need to round the result to the nearest whole number.
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Can anyone help me out ??
Pleasee :,(
Answer:
Step-by-step explanation:
the "n" is the offset from zero. In this case it's -6
n = -6
:)
Answer:
no
Step-by-step explanation:
i have 7 liters of water and how many milters do I have
NOTE: For All Calculations In This Lab, Use The Approximation Of 62,500 Inches To The Mile When Necessary. ALWAY
By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving
The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.
For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.
Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.
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.
Add: (112 + 2) + (92 - 4)
Answer:
See below.
Step-by-step explanation:
(112+2)+(92-4)
114+88
202
-hope it helps
The surface area of a triangular pyramid is 1000 square meters. The surface area of a similar triangular pyramid is 40 square meters.
What is the ratio of corresponding dimensions of the smaller pyramid to the larger pyramid?
Answer:
1/5
Step-by-step explanation:
sqrt(40)/sqrt(1000)
2sqrt(10)/10sqrt(10)
1/5
the growth of yeast cultures in a medium shows what kind of growth, linear or logarithmic?
The growth of yeast cultures in a medium typically exhibits logarithmic growth.
In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.
This results in a characteristic J-shaped curve when the population size is plotted against time.
During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.
Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.
The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.
Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.
This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.
Therefore, the growth of yeast cultures in a medium shows logarithmic growth.
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Simplify this expression 4x^2y^3 x 2x^3y^4
Answer:
8 x^5 y^7
Step-by-step explanation:
Simplify the following:
4×2 x^2 y^3 x^3 y^4
Hint: | Combine products of like terms.
4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:
4×2 x^(2 + 3) y^(3 + 4)
Hint: | Evaluate 3 + 4.
3 + 4 = 7:
4×2 x^(2 + 3) y^7
Hint: | Evaluate 2 + 3.
2 + 3 = 5:
4×2 x^5 y^7
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: 8 x^5 y^7
Sofia earned $12 by gardening and spent$4 for lunch she would like to know how much money she has left.what the sum
Answer:
8 dollars
Step-by-step explanation:
12 minus 4 is 8
8
Step-by-step explanation:
12-4=8
She had 12 used 4 bucks, she has 8 left over from lunch
What is the median score of the 10 golfers?
A) 96
B) 97
C) 98
D) 99
A lorazepam injection contains 4 mg of lorazepam per milliliter. calculate the ratio strength
To calculate the ratio strength of a medication, we compare the amount of active ingredient (lorazepam in this case) to the total volume of the medication.
In this case, the lorazepam injection contains 4 mg of lorazepam per milliliter.
Therefore, the ratio strength can be calculated as:
Ratio Strength = Amount of Active Ingredient / Total Volume
In this case, the amount of active ingredient is 4 mg, and the total volume is 1 mL.
Ratio Strength = 4 mg / 1 mL
Thus, the ratio strength of the lorazepam injection is 4:1 (4 to 1) or 4.
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if y varies inversely as x and y=6 when x=8 find y when x=7
Answer:
y = 5 1/4
Step-by-step explanation:
For direct or inverse variation relation
relation between two variable and y can be expresses in form of
y = kx where k is constant of proportionality .
Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality
__________________________________
Thus, let the inverse relation be
y = kx
given
when y = 6 then x = 8
we will plug this value in y = kx
6 = k*8
=>k = 6/8 = 3/4
Thus,
relation is
y = 3/4 x
we have to find y when x = 7 ,
lets put x = 7 in y = 3/4 x
y = 3/4 *7 = 21/4 = 5 1/4
Thus, when x = 7 then y = 5 1/4
Theophylline is a pharmaceutical drug that is sometimes used to help with lung function. You observe a case where the lab results indicate that a sample of theophylline (initial concentration of 2.0 x 10-3 M) has been metabolized to a concentration of 1.0 x 10-3 M in 24 hours. In another 24 hours the drug concentration was 5.0 x 10-4 M. What is the rate of decomposition four (4) hours after the initial sample was taken
The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.
The fifth partial sum represents the sum of the first 5 terms in the sequence.
What is the partial sum of sequence?
The partial sum of a sequence gives the sum of the first n terms in the sequence.
Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.
The given geometric sequence :
$400, $420, $441, $463, and $486.
The fifth partial sum of the above sequence will be :
$400+ $420+ $441+$463+$486=$2210
Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.
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The rate of decomposition as per half life is 0.0000545 M.
what is half life?
A quantity's half-life t(1/2) is the amount of time needed for it to decrease to half of its initial value. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last. The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay). The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences. Half-opposite life's in exponential growth is time's doubling.Drug concentration decreases from 0.002M to 0.001M in 24 hours.
Again, Drug concentration decreases from 0.001M to 0.0005 M in subsequent 24 hours.
Therefore, t(1/2) = 24 hours
K= 0.693/t(1/2) = 0.693/24 = 0.028775 per hour.
K= 2.303/t Log (No/Nt)
Log(No/Nt) =Kt/2.303 =0.05015
No/Nt= Antilog (0.05015) = 1.1224
Nt= No/1.1224 = (0.0017818 M
Rate of decomposition as per half life is calculated as
(No-Nt)/t = 0.0000545 M
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Help! Can’t figure out how to do this
the square mil area for a 2 inch wide by 1/4 inch thick copper busbar = ? square mils.
The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.
How to find the square mil area of a copper busbar?To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.
1 inch = 1000 mils
So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils
And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils
Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.
Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.
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please please help mey how do I expand and simplify this thingy
Answer:
69w^2 + 17w
Step-by-step explanation:
1. PEMDAS - simplify using steps
2. Put together all like terms.
3. Add or subtract together.
5w(14w) + 3w^2 + 8w - 4w^2 + 9w
69w^2 + 17w
Hope this helps:)
Answer:
9w² - 18w
or
9w(w - 9)
Step-by-step explanation:
Let's start by applying the distributive property to all of the expressions:
5w(2w - 7) + w(3w + 8) - 4w² + 9w
10w² - 35w + 3w² + 8w - 4w² + 9w
Now, combine the like terms:
9w² - 18w
You could stop there, but if you wanted to, you could factor out a 9 and a w:
9w(w - 9)
Hope that helps :) If you have any questions, please comment on this thread! I'm more than willing to help!
Find the derivative of the given function.
y = x^11/7
y’ = _____
Therefore, the derivative of the function \(y = x^{(11/7)}\) is \(y' = (11/7) * x^{(4/7)}\)
To find the derivative of the function \(y = x^{(11/7)}\), we can use the power rule of differentiation.
The power rule states that if we have a function of the form \(y = x^n\), then its derivative is given by \(y' = n*x^{(n-1)}\)
In this case, the function \(y = x^{(11/7)}\) can be rewritten as
\(y = x^{(11/7)} \\= (x^{11})^{(1/7)}\)
Applying the power rule, we differentiate the function as follows:
\(y' = (1/7)*(x^{11})^{((1/7)-1)} * 11x^{(11-1)}\)
Simplifying this expression, we get:
\(y' = (1/7)*(x^{11})^{(-6/7)} * 11x^{10}\)
Simplifying further, we have:
\(y' = (11/7) * x^{(-6/7)} * x^{10}\)
Combining the x terms, we can write the final derivative as:
\(y' = (11/7) * x^{(10 - 6/7)}\)
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Xavier Knox's annual salary is $61,100. He is paid semimonthly. His personal exemptions total $4,000. How
much does his employer deduct from each of Knox's paychecks for state income tax of 3.5 percent?
a. $166.54
c.
b. $83.27
$83.13
d. $166.26
The amount that Xavier Knox's employer deducts from his paychecks for state income tax is b. $83.27
How to find the state income tax?First find his taxable income:
= Annual salary - Personal exemptions
= 61, 100 - 4, 000
= $57, 100
The state income tax per year is:
= 57, 100 x 3.5% state income tax rate
= $1, 998.50
The semimonthly state income tax deducted is:
= 1, 998.50 / (12 months x twice a month)
= $83.27
In conclusion, on a semimonthly basis, $83.27 is deducted for state income tax.
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what is the value of x?
Answer:
The value of x is 8 cm
Step-by-step explanation:
we can see that there are two triangles
smaller triangle and larger triangle
and both triangles are similar
so, the ratio of their sides must be equal
we get
now, we can solve for x
we can cross multiply
Divide both sides by 5
Subtract both sides by 13
divide both sides by 2
Is the following relation a function? {(1,2), (3,4),(-2,4),(3,0)}
Answer:
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
a function has one uniqe output to a input
If Chandler uses 3 gigabytes of data this
month, how much will his cell phone bill be?