Solution:
Given;
\(\sqrt{16}\cdot\sqrt{4}\)\(\sqrt{16}\cdot\sqrt{4}\)We can simplify the perfect square as;
\(\begin{gathered} \sqrt{16}\cdot\sqrt{4}=\sqrt{4\times4}\cdot\sqrt{2\times2} \\ \\ \sqrt{16}\cdot\sqrt{4}=4\cdot2 \\ \\ \sqrt{16}\cdot\sqrt{4}=8 \end{gathered}\)CORRECT OPTION: C
Factor the expression completely. 3x^5+2×^4
we have the expression
\(3x^5+2x^4\)Factor x^4
so
\(x^4(3x^{}+2)\)If /is an explanatory variable and m is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? O A. Neither /nor m B. 1 C. m D. Both / and m??
Answer: The explanatory variable goes in the horizontal axis.
Step-by-step explanation:
The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).
Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.
Then the correct answer would be C: /.
This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.
And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.
the fork is my user
Answer:
cool
Step-by-step explanation:
Answer:
LOL that's just
Step-by-step explanation:
epik uhhh wsg?
The calling convention should be such that every function is caller-independent. What does that mean
PLEASE SOLVE ASAP
Use the point and the slope to graph each line. Write the equation of the line.
The line contains point (2, –2) and is perpendicular to a line with slope –1.
Answer:
y=1x-4
Step-by-step explanation:
you should start using desmos trust me it will HELP U OUT
btw the slope of a perpendicular line is the opposit of the first line
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answer:
%140 I think
Step-by-step explanation:
Double would be a %100 error
add %10 for every 100 after
Answer:52.4%
Step-by-step explanation:
Find the difference between the actual number and the estimated number. This difference is the part. Use it to write a part-to-whole ratio and then divide to find the percent error.
someone please answer this its confusing me
Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?
The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.
To find the probability that a randomly selected student will like pizza but not chicken nuggets.
Let P = the number of students who like pizza but not chicken nuggets
Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets
P = 28n - 8
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students)
We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:
Total number of students = 28n + 15 - 8 = 28n + 7
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)
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Can anyone help! thanks !
Answer:
x = 37°
Step-by-step explanation:
the sum of the exterior angles of a convex polygon is 360° so the sum of all the angles must yield to 360°.
just a trial!!!!!
x+2x+x+10+x+18+3x+x-1=360°
9x=333
x= 37°
Answer:
x=37 degrees
Step-by-step explanation:
9x + 27 = 360
- 27
9x =333
x= 333/9
x= 37
Hope this helps!
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
Answer:
The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Got it right
PLEASE HELP THESE ROBOTS ARE SPAMMING ME
What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors
Step-by-step explanation:
The answer is the Revolutionary War
what is 656 ÷ 4
we need to know how to solve this equation.
Answer: 164
Step-by-step explanation: 656 /4
164
Emoji were first introduced on Japanese mobile phones in the year 1997.
Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
Answer:
1997 > y
Step-by-step explanation:
The inequality that presents year before 1997 is y<1997
What is inequality?Inequality shows relation between two expression which are not equal to each others.
According to given condition,
The emoji were introduced in the year 1997,
There can be infinite year before 1997, when emoji were not introduced.
The year y that describes inequality the year before 1997 can be represented as,
y<1997
The required inequality is y<1997.
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Find the volume of a rectangular prism with the following dimensions.length: 4 ydwidth: 5 ftheight: 11 ftvolume = ___ ft3
Given:
length: 4 yd
width: 5 ft
height: 11 ft
Required:
volume = ___ ft3
Explanation:
First of all we apply the formula for the volume of rectangular prism.
\(\begin{gathered} volume=l\times w\times h \\ =4\times5\times11 \\ =220ft^3 \end{gathered}\)Required answer:
\(220ft^3\)Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 39 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.
The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:
Output = (6 * x) - 80
The problem states that the input and output are the same. Therefore, we can set up the equation:
x = (6 * x) - 80
To solve for x, we'll rearrange the equation and isolate the variable:
x - 6 * x = -80
Combine like terms:
-5 * x = -80
Divide both sides by -5:
x = (-80) / (-5)
Simplifying the division:
x = 16
Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.
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What is the steps to this problem
Answer:
u forgot to add the question
Step-by-step explanation:
A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
R: ℝ
R: (–∞, ∞)
R: (0, 400)
R: (50, 450)
Answer:
its c
Step-by-step explanation:
C. R: (0, 400)
What is a rational function?
In mathematics, a rational function is any function that can be described by using a rational fraction, which is an algebraic fraction such that each the numerator and the denominator are polynomials. The coefficients of the polynomials need no longer be rational numbers; they'll be taken in any field k.
A rational function is one that can be written as a polynomial divided by a polynomial. for the reason that polynomials are defined everywhere, the domain of a rational feature is the set of all numbers except the zeros of the denominator. example 1. f(x) = x / (x - 3). The denominator has only one 0, x = 3.
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What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
what is the most $ that you can get out of a ATM?
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
a decimal precise to two decimal places.
P=
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a
decimal precise to two decimal places.
P-
Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
13 is one third of a number
m
Answer:39
Step-by-step explanation: 13 x 3= 39
Answer:
13 = (1/3)m
Step-by-step explanation:
The word "is" is used when saying "equals"
"One third of a number m" is telling you to multiply (1/3) times "m".
As part of a school project students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team. Each student will randomly select 7 students. One student found out that 2 of the 7 play a sport. The teacher has collected data from all students and found that out of the 31 students in the class 20 of them played sports.
On solving the provided question, we can say that percentage terms is 41.93%
What is percentage?A percentage in mathematics is a figure or ratiο that is stated as a fraction of 100. The abbreviatiοns "pct.," "pct," and "pc" are also occasionally used. It is frequently denοted using the percent symbol "%," though. The amount of percentages has nο dimensions. With a denominator of 100, percentages are basically fractiοns.
To show that a number is a percentage, place a percent symbol (%) next tο it. For instance, if yοu correctly answer 75 out of 100 questions on a test (75/100), yοu receive a 75%. To cοmpute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.
total no. of students = 31
no. of students play sports = 13
percentage terms = 13/31 × 100= 41.93%
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An entry in the Peach Festival Poster Contest must be rectangular and have an area of 1200 square inches. Furthermore, it's length must be 20 inches longer than it's width. Find the dimensions.
Answer:
The length is 46.05551275 inches, and the width is 26.05551275 inches.
Step-by-step explanation:
We know that the area must be 1200 square inches. Using this information, we can create an equation, where x is length and y is width:
x*y=1200
We know that its length must be 20 inches longer than its width. Therefore, x=y+20. Using this new information, we can replace 'x' in 'x*y=1200' with 'y+20':
(y+20)*y=1200
\(y^{2} +20y=1200\)
\(y^{2} +20y-1200=0\)
I have decided to use the quadratic formula, but you could also factor this equation into the 'intercept' form to determine the roots, which ultimately provides the same answer.
\(y=\frac{-b+\sqrt{b^{2} -4ac} }{2a}\)
\(y=\frac{-(20)+\sqrt{(20)^{2} -4(1)(-1200)} }{2(1)}\)
\(y=\frac{-(20)+\sqrt{400+4800} }{2}\)
\(y=\frac{-(20)+\sqrt{5200} }{2}\)
\(y=\frac{52.11102551 }{2}\)
\(y=26.05551275\) inches
\(x=y+20\)
\(x=(26.05551275)+20\)
\(x=46.05551275\) inches
Therefore, the length is 46.05551275 inches, and the width is 26.05551275 inches.
2. problem 4.3.4 for a constant parameter , a rayleigh random variable x has pdf what is the cdf of x?
The cumulative distribution function (CDF) for given random variable fx(x) is given by F(x) = 1 - e^[(-a²)(x²/2)] x > 0,
F(x) = 0 x ≤ 0.
The cumulative distribution function (CDF) F(x) for a Rayleigh random variable X is defined as,
F(x) = P(X ≤ x)
To find the CDF of X, we integrate the PDF of X over the interval [0, x],
F(x) = ∫₀ˣ a²x e^[(-a²)(x²/2)] dx
Using the substitution u = (-a²x²/2),
Simplify the integral as follows,
F(x) = ∫₀ˣ a²x e^[(-a²)(x²/2)] dx
= ∫₀^((-a²x²)/2) -e^u du (where u = (-a²x²/2) and x = √(2u/a²))
= [e^u]₀^((-a²x²)/2)
= 1 - e^[(-a²)(x²/2)]
Therefore, the CDF of X for the Rayleigh random variable X has PDF fx (x) is equal to,
F(x) = 1 - e^[(-a²)(x²/2)] x > 0,
F(x) = 0 x ≤ 0.
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The above question is incomplete, the complete question is:
For a constant parameter a > 0, a Rayleigh random variable X has PDF
fx (x) = a²xe^[(-a²)(x²/2)] x > 0
0 otherwise.
What is the CDF of X?
Algebra 1 : How to find the slope of parallel lines
The angle between two parallel lines is either 0° or 180° and slope of parallel lines, say m₁ and m₂ are always equal i.e m₁ = m₂.
Slope of Parallel Lines :The slopes of parallel lines are the same. Parallel lines have the same slope because they are equally sloped about the positive x-axis. If the slopes of two parallel lines are denoted by m₁ , m₂, the equation for m₁ = m₂ parallel lines has equal coefficients in x and y. Parallel to ax + by + c₁ = 0 is ax + by + c₂ = 0. Observation shows that the x and y coefficients are the same in both formulas.
Derivation of the Slope of a Parallel Line The slope term for a parallel line can be derived from the equation for the angle between two lines. The angle between two parallel lines is 0° or 180°. For two lines with slopes m₁ and m₂, the angle between the two lines can be calculated as Tanθ. Tanθ = (m₁ − m₂)/(1+m₁m₂)
The angle between two parallel lines is 0° and Tan0° = Tan180° = 0,
Tan0° =( m₁ -m₂) /(1 + m₁×m₂ )
= 0 = > m₁ − m₂= 0
=> m₁ = m₂
Therefore, the slopes of the two parallel lines are the same.
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A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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Solve for the value of q
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
solve: |2(x-5)|+11=17
Answer:
x = 8, x = 2
Step-by-step explanation:
|2(x-5)|+11=17
|2(x-5)| = 6
|(x-5)| = 3
x = 8 AND x = 2 because of the absolute value.
Brainliest, please :)
The solution of the given equation will be x = 2 and 8.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
| 2 (x - 5) | + 11 = 17
Now, Solve the expression is;
| 2 (x - 5) | + 11 = 17
Subtract 11 both side,
| 2 (x - 5) | + 11 - 11 = 17 - 11
| 2 (x - 5) | = 6
Reduce modulus we get;
2 (x - 5) = ±6
Take positive sign,
2 (x - 5) = 6
x - 5 = 6/2
x - 5 = 3
x = 3 + 5
x = 8
And, Take negative sign,
2 (x - 5) = -6
x - 5 = -6/2
x - 5 = -3
x = 5 - 3
x = 2
Thus, The solution of the given equation will be x = 2 and 8.
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PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²