Answer:
5.9
Step-by-step explanation:
It's because area is 345
Formula , A=πr2Find the √ of 34518.6=3.14×f2fR = 5.9Please help! Will give the brainliest!
The answer is J. [tex](x+4)(x-2)=x\cdot x[/tex]
Which transformations will produce similar, but not congruent, figures?
Select each correct answer.
Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square A” B" C"D"
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form
square A"B" C"D"
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A" B" C"D"
Square ABCD is rotated 270" clockwise and then dilated by a scale factor of to form square A" B”C” D”
Answer:
The correct answers are A B D
Step-by-step explanation:
hope this helped!
how is -x^6+7x^5 considered a sixth degree binomial?
Answer:
Polynomial, 6. Constant. The highest value of the exponent in the expression is known as the Degree of Polynomial. The degree of a polynomial is the largest exponent. It is also known as an order of the polynomial. While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order.
Step-by-step explanation:
A term is defined as a part of an equation separated by a +/- operation. Because there is a + operation separating two terms (-x^6 and 7x^5), the expression is a binomial, meaning the expression has two terms.
The highest exponent or degree, present in the expression is to the power of 6. Therefore, the expression is in the sixth degree.
Taken together, the expression is a sixth-degree binomial.
Use the interactive to make a line that passes through the points 3'2 and -1'-1 slope
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Equation of a lineThe standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
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Prove that C(50,3) + C(50,4) = C(51,4)
By definition of the binomial coefficient,
[tex]C(n,k) = \dfrac{n!}{k!(n-k)!}[/tex]
so we have
[tex]C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)[/tex]
as required.
Choose the correct range , mean and standard deviation for participant age written in correct APA format . A. Participants ranged in age from 4 to 90 ( M = 26.24 , SD = 23.00 ) . B. Participants ranged in age from 18 to 54 ( M = 26.24 , SD = 8.04 ) . C. Participants ranged in age from 18 to 54 ( M = 23.00 , SD = 26.24 ) . D. Participants ranged in age from 4 to 26.24 ( M = 26.24 , SD = 8.04 ) . E. Participants ranged in age from 18 to 58 ( M = 23.00 , SD = 8.04 ) .
The range, the mean, and standard deviation are mathematically given as
Participants ranged in age from 4 to 26.24 ( M = 26.24 , SD = 8.04 ). Option D.
What are the range, the mean, and standard deviation?Given the data presented below the given
A look at the result shows that the lowest and highest values are between 1s and 58, with a mean and standard deviation of 26.10 and 8.90, respectively.
Participants' ages varied from 18 to 58 (m-26.14, std dev = 8.01), hence option (d) is accurate.
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Which equation represents an exponential function with the initial value of 500?
Answer:
A exponential equation is usually of the form f(x)=a (1±r)ˣ.
Our limitation: Initial Vale is 500.
Let's look at our options:
#1- Initial Value of 1000 --- WRONG!
#2- Initial Value of 1000 --- WRONG!
#3- Initial Value of 500 ---- Maybe
#4- Initial Value of 500 ---- Maybe
Let's look at 3 and 4:
#3- Fits Our Form of f(x)=a (1±r)ˣ ---- CORRECT!
#4- Does not fit Our Form of f(x)=a (1±r)ˣ, It's to the 2nd power, not the x power! ---- WRONG!
Hence, #3 Is correct!
Step-by-step explanation:
Well, I hope you understood, and I'd gladly explain anything that didn't make sense. A brainliest would be appreciated, thank you!
-Zylynn Jade Ardenne
What is the product? Assume x≥0.
(√3x + √5)√15x+2√30)
A. 3x√√5 +3√165x+10√√6
B. 3x√5+6√10x +5√3x +10√6
C. 3x√√5+10√6
D. 6√3x+10√6
The product of (√3x + √5)(√15x+2√30) assuming x ≥ 0 is 3√5x² + 6√10x + 5√3x + 10√6
What is the product of the expression?It follows from the task content that the expression given whose product is to be evaluated is;
(√3x + √5)(√15x+2√30)
Hence, by multiplying the terms with each other accordingly; we have;
= (√45x² + 2√90x + √75x + 2√150)
= 3√5x² + 2√90x + √75x + 2√150
= 3√5x² + 2×3√10x + √75x + 2√150
= 3√5x² + 2×3√10x + 5√3x + 2√150
= 3√5x² + 2×3√10x + 5√3x + 10√6
= 3√5x² + 6√10x + 5√3x + 10√6
Ultimately, the product of the expression is; 3√5x² + 6√10x + 5√3x + 10√6
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To find the possible roots of the polynomial 4x3 + x4 – 7x2 – 8x - 8
divide factors of ± __ by factors of ± __ .
The complete statement is divide factors of ± 8 by factors of ± 1
How to complete the statement?The polynomial is given as:
4x^3 + x^4 - 7x^2 - 8x - 8
Rewrite properly as:
x^4 + 4x^3 - 7x^2 - 8x - 8
The first term in the above equation is 1 i.e. 1x^4, while the last term is 8
To determine the possible rational roots, we divide the factors of the last term i.e. 8 by the factors of the first term i.e. 1
Hence, the complete statement is divide factors of ± 8 by factors of ± 1
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Which set of side lengths forms a right triangle?
O2, 3, 13
O4, 6, 10
O 9, 12, 18
O 15, 36, 39
Step-by-step explanation:
hope you can understand
What is the solution set of -xl = -10?
No solution since absolute value can't be equal to negative numbers
PLEASE GIVE BRAINLIEST
easy:
Clara buy: 300 apples, 74 potato, 15 eggs e 2 phone.
how many things did he buy in all?
Hard:
There are 92 boys in a school, the girl 100.How many more girl are there than boys?
Answer:
easy = 391 items
hard = there are 8 more girls than there are boys
I have a quick geometry question! Thank you!
Answer:
e4fodor8rsidididi2f2
Answer:
9
Step-by-step explanation:
3:4
AB:12
cross multiply giving
3×12:4AB
36: 4AB
divide both sides by 4,thus
AB=9
A is the set of integers greater than or equal to -9 and less than or equal -2
B = {-30, -27, 20, 24, 28}
a) Find the cardinalities of A and B.
n(A)=
n(B) =
Answer:
The cardinality Of Set A= 8, Set B = 5
SET :an organized collection of objects
Cardinality : It is defined as how many elements make in a set or other grouping.
Step1: Integers greater than or equal to -9 and less than or equal to -2 are
= -9,-8,-7,-6,-5,-4,-3,-2
Step 2: Form a set using given elements, we have
Set A = {-9,-8,-7,-6,-5,-4,-3,-2}
Step 3: Count the no. of elements
we have, no. of elements is 8.
For given Set B = {-30, -27, 20, 24, 28}
we have, no. of elements is 5.
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Find the distance between the parallel lines y=x-5 and y=x+6
Answer:
11
Step-by-step explanation:
i don't know
Trigonometry problem
Answer:
Hi! So, I'm pretty sure the answer is 1 (rounded).
However, I'm not sure if you're trying to find the answer to COS pi/10 or "the function in terms of cofunction of a complementary angle" which I'm not too sure about. I've given you the answer to the first part if this was not the right way to read the problem I deeply apologize.
Step-by-step explanation:
Using any calculator with the Cos, Sin, and Tan function, you can input
COS (pi / 10) which equals .9999849678 (which you can round as needed)
Question 1(Multiple Choice Worth 4 points)
Which set of line segments could create a right triangle?
O24, 30, 35
O 12, 18, 30.
O 18, 24, 30
O 18, 24, 35
Answer: 18, 24, 30
Step-by-step explanation:
For the segments to create a right triangle, they must satisfy the Pythagorean theorem.
The only set which satisfies the Pythagorean theorem, is 18, 24, 30, since [tex]18^{2}+24^{2}=30^{2}[/tex]
Which expression is equivalent to 2x² - x + ?
O A
O
B
C
D
²(x - 2)²
2
IN
2 X-
16
Answer: [tex]2\left(x-\frac{1}{4} \right)^{2}[/tex]
Step-by-step explanation:
[tex]2x^{2}-x+\frac{1}{8}\\\\=2\left(x^{2}-\frac{1}{2}x \right)+\frac{1}{8}\\\\=2\left(\left(x-\frac{1}{4} \right)^{2}-\frac{1}{16} \right)+\frac{1}{8}\\\\=2\left(x-\frac{1}{4} \right)^{2}-\frac{1}{8}+\frac{1}{8}\\\\=\boxed{2\left(x-\frac{1}{4} \right)^{2}}[/tex]
f(x) = 3x² + 5x - 2
g(x) = 5x³-4x² + 4
Find (f + g)(x)
Answer: [tex]5x^3 - x^2 + 5x+2[/tex]
Step-by-step explanation:
[tex](f+g)(x)=(3x^2 + 5x-2)+(5x^3 - 4x^2 +4)=3x^2 + 5x-2+5x^3 - 4x^2 +4=\boxed{5x^3 - x^2 + 5x+2}[/tex]
A polynomial function whose degree is 5 has at most how many turning points.
The depth of a certain part of the Earth's seabed is 36,024 feet. How deep is it in (a) fathoms? (b) leagues (marine)?
The depth of the sea bed is 5104 fathom and 1.986 league
What is a Seabed ?The bottom of an ocean , the ocean floor is called Seabed .
It is given that
The depth of a certain part of the Earth's seabed is 36,024 feet
The depth in fathom is given by = depth in feet / 6
The depth in fathom is = 36024 / 6
= 5104 fathom
1 league = 6046.1 * 3 feet = 18138.1 feet
The depth in League (marine) = Depth in feet / 18138.1
The depth in League (marine) = 36024/18138.1
= 1.986 league
Therefore the depth of the sea bed is 5104 fathom and 1.986 league.
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which relation describes the graph?
Answer:
A.
Step-by-step explanation:
The other graphs answers have a point at (3, 1) which is not on the graph.
The ratio of the number of fiction book is 9:4, the different between the number of fiction and non fiction is 245
Answer:
Step-by-step explanation:
The ratio of the number of fiction books is 9:4
the difference between the number of fiction and nonfictionn is 245
so if the number of fiction books = 9x
then the number of nonfiction books = 4x
then difference = 9x-4x = 5x
the difference is given 245
then 5x= 245
x=[tex]\frac{245}{5}[/tex]=49
number of fiction books =49×9=441
number of nonfiction books =49×4=196
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The number of measles cases has increased by 5.3% since 2000.
Express your answer rounded correctly to the nearest hundredth.
Stated another way, the number of measles cases is
times what it was in 2000.
Express your answer rounded correctly to the nearest tenth of a percent.
Stated another way, the number of measles cases was
% of what it is now.
The expressions for the number of measles are y = a(1.05)^x and y = a(1.1)^x
How to express the number of measles?Let the initial number of measles in 2000 be represented as:
Initial = a
The rate of increase is given as:
Rate, r = 5.3%
The number of measles in x years after 2000 is represented as:
y = a * (1 +r)^x
Substitute r = 5.3%
y = a * (1 + 5.3%)^x
So, we have:
y = a * (1 + 0.053)^x
Evaluate the sum
y = a * (1.053)^x
To express to the nearest hundredth, we approximate to 2 decimal places
y = a(1.05)^x
To express to the nearest tenth, we approximate to 1 decimal place
y = a(1.1)^x
Hence, the expressions for the number of measles are y = a * (1.05)^x and y = a * (1.1)^x
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A 3-column table with 3 rows. Column 1 is labeled Unit Fraction with entries StartFraction 1 Over 10 EndFraction, one-fourth, c. Column 2 is labeled Fraction with 100 in the denominator with entries StartFraction 10 Over 100 EndFraction, b, StartFraction 50 Over 100 EndFraction. Column 3 is labeled Percent with entries a, 25 percent, 50 percent.
Complete the table by finding the missing equivalent form for each row.
a =
b =
c =
The missing equivalent forms are: a = 10%, b = 25/100 and c = 1/2
Complete questionUnit Fraction Fraction with 100 in denominator Percent
1/10 10/100 a
1/4 b 25%
c 50/100 50%
Complete the table by finding the missing equivalent form for each row.
How to determine the missing equivalent forms?From the above table, we have the following equations
a = 10/100
b = 25%
c = 50/100
The variable a must be in percentage.
So, we have:
a = 10/100
Express as percentage
a = 10%
The variable b must be a fraction with 100 in denominator
So, we have:
b = 25%
Express as fraction
b = 25/100
The variable b must be a unit fraction
So, we have:
c = 50/100
Divide the fraction by 50/50
c = 1/2
Hence, the missing equivalent forms are:
a = 10%, b = 25/100 and c = 1/2
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Find the equation of a line that is perpendicular to Y= 4X +5 that passes through (2,-5)
Answer:
4y +x =18
Step-by-step explanation:
y - (-5) -1
----------- = ------
x - 2 4
4y +20 = -x+2
4y +x =18
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55_
How much does George pay for his computer in total?
The graphs of exponential functions f and g are shown on the coordinate plane below.
Answer:
-5
Step-by-step explanation:
Since g(x) is f(x) shifted 5 units down, g(x) = f(x) -5. Therefore k = -5
from a survey involving 1000 University students market research company found that 780 students on laptops 460 on cars and 380 owned cars and laptops if a university student is selected at random what is each empirical probability. (A) the student owns either a car or laptop. (B) the student owns neither a car nor a laptop is.
Considering the definition of probability:
the probability that the student owns either a car or laptop is 86%.the probability that the student owns neither a car nor a laptop is 14%.Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
The probability of any event A is defined as the quotient between the number of favorable cases (that is, the number of times that event A may or may not occur) and the total number of possible cases:
[tex]Probability=\frac{number of favorable cases}{total number of possible cases}[/tex]
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
Complementary eventA complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.
The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:
P(A´)= 1- P(A)
Events and probability in this caseIn first place, let's define the following events:
A: The event that a student owned a laptop.
B: The event that a student owned a car.
Then you know:
P(A)= [tex]\frac{780}{1000}[/tex]= 0.78P(B)= [tex]\frac{460}{1000}[/tex]= 0.46P(F and R)= P(F∩R)= [tex]\frac{380}{1000}[/tex]= 0.38 [The intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.]In this case, considering the definition of union of events, the probability that the student owns either a car or laptop is calculated as:
P(A∪B)= P(A) + P(B) -P(A∩B)
P(A∪B)= 0.78 + 0.46 -0.38
P(A∪B)= 0.86= 86%
Then, the probability that the student owns either a car or laptop is 86%.
On the other hand, considering the definition of the complementary event and its probability, the probability that the student owns neither a car nor a laptop is calculated as:
P [(A∪B)']= 1- P(A∪B)
P [(A∪B)']= 1 - 0.86
P [(A∪B)']= 0.14= 14%
Finally, the probability that the student owns neither a car nor a laptop is 14%.
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