Answer:
B
Step-by-step explanation:
F(x)=x^2. What is g(x)?
helpppp What is the value of y? Triangle A B C has right angle C with side A C labeled 5. Angle A is 60 degrees and its opposite side B C is labeled y. The long leg is labeled y and the short leg is labeled 5. Enter your answer, as an exact value, in the box.
Answer:
\( 5\sqrt{3} \)
Step-by-step explanation:
here
tan(60)= p/b
\( \sqrt{3 } = \frac{y}{5} \)
\(y = 5\sqrt{3} \)
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
\(\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}\)
It means, segment AC is equal to A''B'' over 2 is the correct answer.
the voltage produced by the colorimeter is __________ to the absorbance of the sample and ____________ to the light intensity.
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
What is voltage?When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Here,
The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.
This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.
Similar to this, the voltage generated by the colorimeter rises as light strength falls.
The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.
The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.
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. Calculate the slope of the line that passes through (3, 2) and (-7, 4).
Answer:
-0.2
Step-by-step explanation:
\(\frac{y2-y1}{x2-x1}\)
^This here is how I calculated the slope^
Y2=4
Y1= 2
4-2= 2
X2=-7
x1=3
-7-3=-10
2/-10
or -2/10
Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
The first four-term of the sequence is found by the given equation \(a_{n-1} = 4a_n\) is given as 144, 36, 9, and 9/4.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given equation will be
\(\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n\)
And
\(a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}\)
For n = 4, we have
\(\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9\)
For n = 3, we have
\(\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36\)
For n = 2, we have
\(\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144\)
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Answer:
144
36
9
Step-by-step explanat
rewrite the following radical expression in rational exponent form.
(underroot x)5
The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.
The square root (√) of x can be written as x^(1/2).
To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).
Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.
In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.
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Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.
Answer:
A number plus seven times itself equals 1200.
Step-by-step explanation:
The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;
x + 7x = 1200.
Answer:
Step-by-step explanation:
marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined, his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)
Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top
of a mountain. The equation of a trend line for the hiker's elevation is y=9.01x+647, where x
represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the
trend line to estimate the hiker's elevation after 150 minutes.
After 150 minutes, the hiker's elevation will be about
(Round to the nearest whole number as needed.)
feet above sea level.
1.000
1.500-
The hiker's elevation after 150 minutes is given as follows:
1998.5 feet.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
For this problem, the function is given as follows:
y = 9.01x + 647.
Giving the hiker's elevation after x minutes.
Hence the hiker's elevation after 150 minutes is found with the numeric value at x = 150, replacing the lone instance of x by 150, hence:
y = 9.01(150) + 647 = 1998.5 feet.
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someone please help me with this asap
Answer:
It changed by 41 people.
Step-by-step explanation:
Expand the binomial (x+2y)^7. What is the numerical coefficient of 5th term?
35
1120
16
560
The numerical coefficient of the 5th term is 560.
The correct answer is option D.
To expand the binomial \((x+2y)^7\), we can use the binomial theorem, which states that the expansion of\((a+b)^n\) can be written as the sum of the terms:
\(C(n,0) * a^n * b^0 + C(n,1) * a^(n-1) * b^1 + C(n,2) * a^(n-2) * b^2 + ... + C(n,r) * a^(n-r) * b^r + ... + C(n,n) * a^0 * b^n\)
where C(n,r) represents the binomial coefficient "n choose r" and is given by the formula: C(n,r) = n! / (r! * (n-r)!).
In the case of\((x+2y)^7\\\), the 5th term corresponds to r=4, and we can calculate the numerical coefficient as follows:
\(C(7,4) * x^(7-4) * (2y)^4\) = C(7,4) * \(x^3 * 2^4 * y^4\)
The binomial coefficient C(7,4) is equal to 35, and the coefficient of the 5th term is obtained by multiplying all the constants: 35 * \(2^4\)= 560.
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1. 5 - (__) = 14
2. __+(-7)=3
3. (-4) (__) = -20
4. 16/__= -8
5. 8 + (__) = 6
6. (__) x (-7)=42
7. (__)/12=-6
Answers:
1. \(5-(-9)=14\)
2. \(10+(-7)=3\)
3. \(-4(5)=-20\)
4. \(16/(-2)=-8\)
5. \(8+(-2)=6\)
6. \((-6)\) × \((-7)=42\)
7. \((-72)/12=-6\)
Hope this helps...
there are 90 chairs arranged for people to watch a band concert. if 75 chairs have people in them during the concert, what percentage of the chairs are fiilled
Answer: 83.3%
Step-by-step explanation:
Simply you want to divide 75 by 90 and you will get 83.3%
Can anyone please help
2. 64 = 2 × 2 × 2 × 2 × 2 × 2 2 |64
√64 = √2 × 2 × 2 × 2 × 2 × 2 2 |32
√64 = 2 × 2 × 2 2 |16
√64 = 2³ 2 |8
√64 = 8 2 |4
2 |2
3. No positive square root exists for -85 as it is a negative integer. The squares of a number is always positive.
4. 114 is not a perfect square. √114 = 10.677078252
5. √16 = 4
6. √105 = 10 (nearest)
7. √81 = 9
8. √14 = 4 (nearest)
9. √8 = 3 (nearest)
elana sells 3a adult tickets if elana sells 15 adult tickets does she sell at least 100 total tickets
Given that Elana sells 3a adult tickets. The number of adult tickets that Elana sells is 15. The question is whether Elana sells at least 100 total tickets.
Elana sells 3a adult tickets, where a is the number of tickets sold. Therefore, the number of adult tickets Elana sells is 3a = 15. Dividing both sides by 3, we geta = 5So, Elana sells 5 adult tickets. To find out whether Elana sells at least 100 tickets, we need to know the number of non-adult tickets sold.
If we assume that all tickets are either adult or non-adult, we can say that the total number of tickets sold is 5 + n, where n is the number of non-adult tickets sold. Since we don't know the value of n, we cannot determine if the total number of tickets sold is at least 100. Thus, the answer to the question is not clear from the information provided.
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Write the subtraction expression as an equivalent addition expression and then evaluate it.
- 15 - 12
The subtraction expression as an equivalent addition expression -15 - 12 = (-15) + (-12) = -27.
Equivalent is different from equal. Equal means same in all aspects, whereas equivalent means similar but not identical.
For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
The number that is the “sum” in addition becomes the “minuend” in subtraction. The “addends” in addition become the “subtrahend” and the “difference” in subtraction.
Given that
- 15 - 12
The subtraction expression as an equivalent addition expression.
Then we can rewrite as
(-15) + (-12)
A subtraction problem can be changed into an addition problem because subtracting is the same as adding a negative number. To change a subtraction problem to an addition problem, add the opposite of the number you were subtracting by.
So the answer of the expression is
(-15) + (-12)
-27.
Therefore , The corresponding addition expression for the subtraction statement is (-15) + (-12) = -27.
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How are cubic functions similar to linear functions? How are
they different?
The cubic functions and linear functions, both are polynomial having degree of 3 and 1 respectively.
Define the cubic functions and linear functions?One of the key ideas in mathematics is the concept of polynomials, along with the multiple sorts of polynomials that can be created depending on the degree for polynomials.
When a variable's largest exponent is one, a polynomial with degree one is said to be linear. This type of polynomial is denoted by the equation p(x): ax + b, a≠0.A cubic polynomial is a three-degree polynomial, meaning that three is the largest exponent of the variable. In general, a cubic polynomial will have the following form: p(x): ax³ + bx² + cx + d, a≠0.Some properties of cubic functions and linear functions are-
An n-degree polynomial will have n zeros or roots.Every number of terms, however never an infinite number, can exist in a polynomial.Expressions are represented by zeros, while equations are represented by roots.To know more about the cubic functions and linear functions, here
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Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=5
Answer:
0.25
Step-by-step explanation:
First, you distribute the equation.
2(2x+3)-2=5
4x+6-2=5
Then, you combine like terms.
4x+6-2=5
4x+4=5
Next, you subtract 4 from each side.
4x+4=5
4x+4-4=4x
5-4=1
4x=1
Finally, you divide each side by 4.
4x/4
1/4
(4x/4 you'd end up with x)
Answer: x=1/4
Someone plssss help me.
If BC means B*C, you could find AC by doing BC/B*A
HELPPP THIS IS URGENT!
Answer:
see below
Step-by-step explanation:
\(y=-3(x-4)^2+2\)
\(x=-3(y-4)^2+2\)
\(x-2=-3(y-4)^2\)
\(\frac{1}{3}(2-x) =(y-4)^2\)
\(\sqrt{\frac{1}{3}(2-x)}=y-4\)
\(f^{-1}(x)=\sqrt{ \frac{1}{3}(2-x)}+4\)
Which two lines here are parallel to one another? (Select 2 equations)
a
y=x+3
b
y=1/3x+2
c
y=3x+2
d
y=3x-4
Answer: 3x+2 and 3x-4 when graphed will be parallel
Step-by-step explanation:
List 6 sets of integer values that satisfy |x-y|>2
Answer:
x = -1, y = -5
x = 0, y = -3
x = 1, y = -1
x = 2, y = 1
x = 3, y = 5
x = 4, y = 7
These are six sets of integer values that satisfy the inequality |x-y|>2. In each case, the absolute value of the difference between x and y is greater than 2, which satisfies the inequality. For example, in the first set, x = -1 and y = -5, so the absolute value of the difference is |-1 - (-5)| = |-1 + 5| = 6, which is greater than 2. In the second set, x = 0 and y = -3, so the absolute value of the difference is |0 - (-3)| = |0 + 3| = 3, which is greater than 2. Similarly, the other sets of values also satisfy the inequality.
Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days
The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.
How can the remaining amount of the substance be calculted?To calculate the amount that remains after 100 days, this formular can be used
amount remaining = \(a (0.50)^{\frac{t}{h} }\)
where t is the time that was required for the process to take place, where t is 100 days.
h is the halftime, which is been given as 64.9 days
where a is given as the initial amount that is present which is 8.
Then the values can be substituted to have
\(=a (0.50)^{\frac{100}{64.9} }\)
= 2.749
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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The point B(-6, -2) is rotated 90° counterclockwise
coordinates of the resulting point, B'?
Answer:
(2, -6)
Step-by-step explanation:
Draw a picture woth a point at (-6, -2)
the rotate it.
9. A random variable X is distributed according to X~ N(= 25,0² =9) (a) Determine such M so that P(X < M) = 0.95. (b) Determine the median.
The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.
(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.
(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.
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Find the slope of the line through the points (3,-4) and(-5,2)
Use the slope formula:-
\(\displaystyle\frac{y_2-y_1}{x_2-x_1}\)
Plug in the values:-
\(\displaystyle\frac{2-(-4)}{-5-3}\)
\(\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}\)
Reduce the fraction by dividing the top & bottom by 2:-
\(-\displaystyle\frac{3}{4}\)
\(\uparrow\sf{Slope}\)note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
The price of pen is Rs.150.how much price of it will be after 15% discount?
Answer:
Multiple the amount by the discount.
Rs 150 × 15%
Rs.22.5
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
Answer:
7:4
Step-by-step explanation:
7:4 because if 13 is the total amount of games, that minus the amount of games won and tied equals the amount of games loss which is 4. Since it says wins to losses, the wins will come first in the ratio. Therefore the correct answer would be 7:4.
Answer:
7:4
Step-by-step explanation: