Answer:
Step-by-step explanation:
In this case we know the composition of f and g is
[tex]f(g(x))=f(5x-1)=5x-1+2=5x+1[/tex]
Thus if we change x by 3 we get
[tex]f(g(3))=5(3)+1=16[/tex]
A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature? (2 points)
Group of answer choices
0.23 C°
0.81 C°
1.3 C°
2.1 C°
Answer:
Step-by-step explanation:
.b
i just answered that question
factor each square root
0.7 times square root of 300
-0.125 times square root of 192
Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
WILL MARK BRAINLIEST!
Solve for X in Parallelogram HGFE.
Jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?
Answer:
24 shots
Step-by-step explanation:
[tex]\frac{15}{y}= \frac{63}{100}[/tex]
y × 63 = 15 × 100
63y = 1500
63y ÷ 63 = 1500 ÷ 63
[tex]y=23\frac{17}{21}[/tex]
Y intercept and slope
Answer: A y-intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
Slope - A number that describes both direction and steepness of the line.
Step-by-step explanation: If a line intersects the y-axis at point 5 then its y-intercept will be c= 5. As we denote y-intercept with c.
The slope is denoted by m.
Twice the sum of a number
and -8.
Answer:
2x-8 is there more to the question?
HELP WILL GIVE BRANLIEST!
Answer:
4 Units
Step-by-step explanation:
Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?
The probability of P(B and C) is 1/6
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. It is more likely that an event will occur if its probability is higher.
For e.g., A straightforward illustration is tossing a fair (impartial) coin.
Given that, the probabilities, P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12
P(A and B) = P(A)×P(B)
Therefore,
1/12 = 1/8 × P(B)
P(B) = 8/12 = 2/3
Now,
P(B and C) = P(C)×P(B)
P(B and C) = 1/4×2/3
P(B and C) = 1/6
Hence, P(B and C) = 1/6
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how old is the ressinace ?
Answer:
The renaissance took place in the 14th all the way to the 17th century.
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x^2 + x - 30
The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).
Which binomials correctly represents the factors of the given trinomial?As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.
By factorisation; the given trinomial expression can be written as;
x² + 6x - 5x - 30
x ( x + 6 ) -5 ( x + 6 )
( x - 5 ) ( x + 6 )
On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).
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Which symbol makes the number sentence true?
-2.5O 10/4
A. <
B. >
C. =
Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry
Step-by-step explanation:
Verify that sec^2 xsin^2 x = tan^2 x
Here's the solution,
[tex] \sec {}^{2} (x) \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex][tex] \dfrac{1}{ \cos {}^{2} (x) } \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex][tex] \dfrac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x) [/tex][tex] \tan {}^{2} (x) = \tan {}^{2} ( { {x}^{} }^{} ) [/tex]What information will be useful to know to answer the main question? How can you get it? How will you use that information
Answer:
Step-by-step explanation:
Can u give more detail as to what the question is asking pease
What is the volume of cylinder b=11 h=6
Answer:
Step-by-step explanation:
2280.796
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
tysm! :)
If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.
What is a geometric sequence?In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:
x, 7x, 49x, 343x, .....
Check:
7/1 = 49/7 = 343/49 = 7 (proof).
Therefore, this is a geometric sequence.
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Complete Question:
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
arithmetic
geometric
both
neither
How do you find the rate of change in a parabola?
I need to know ASAP
Answer:
Pick 2 points on the parabola and find the slope by using those two points.
The slope formula is (y2-y1)/(x2-x1)
Step-by-step explanation:
I need someone to explain this step by step. I have a test very soon.
Answer:
So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.
Step-by-step explanation:
Other than itself, which angle is congruent to GDA?
Here are the two sums
2/7 + 1/4 and 5/6 - 1/4
A. B
Which of the two sums is closer in value to 1/2?
You must show your working and state clearly whether the answer is A or B.
Note: Please use the “/“ key of your keyboard to enter the fractions (e.g. 2/7 as 2/7)
On solving the provided question, we can say that - the value of the fraction will be 1/4
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here,
x + x = 1/2
2x = 1/2
x = 1/4
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PLEASE HELP
10 points
will mark brainliest!
Step-by-step explanation:
root 13
is the answer. give 5 star
What percent of the respondents feel that they expert player
its 68
The expert part says 68
Find the LCM of the first five primes
Answer:
The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310
Find the common difference if the 8th term is 55 and the first term is 13
Answer:
Step-by-step explanation:
Equation
L = a + (n - 1)*d
Givens
L = 55
a = 13
n =8
Solution
55 = 13 + (8 - 1)*d Combine
55 = 13 + 7d Subtract 13 from both sides
55 - 13 = 7d
42 = 7d Divide by 7
d = 6
Which statements are true about a triangular pyramid? Check all that apply
It has exactly to faces that are triangles.
has exactly three faces that are triangles.
It has exactly four faces that are triangles
chas 4 vertices
it has 5 faces
It has 6 edges
Answer:
✔︎ C) It has exactly four faces that are triangles.
✔︎ D) It has 4 vertices.
✔︎ F) It has 6 edges.
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!!
Answer:
C) It has exactly four faces that are triangles.
D) It has 4 vertices.
F) It has 6 edges.
Step-by-step explanation:
hope it helps..
A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34.
Is there sufficient evidence to reject the null hypothesis? Explain.
Answer:
Yes
Step-by-step explanation:
The chi-square test statistic = 24.68.
The critical value for df = 11.34.
Since the calculated value of the chi square falls in the critical region it is concluded that the two variables are dependent.
1) The null and alternative hypotheses are
H0: candy preferences of students is independent of age.
Ha: candy preferences of students is not independent of age.
As the calculated value χ² = 24.68 lies in the critical region χ² ≥χ² =11.34, null hypothesis is rejected.
Therefore, we conclude that there is not enough evidence to accept the null hypothesis .
What is f×e where e={1,2,13} and f={44,8,2}?
Answer:
[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]
Step-by-step explanation:
The Cartesian Product of two sets is all pairs in which the first element of each pair comes from the first set, and the second element comes from the second set.
[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]
This was built using 1 from the first set paired with each number in the second set, then using 2 from the first set paired with each number in the second set, then 13 from the first set paired with each number in the second set.
Bad English! Good solution!
Write 12% as a simplified ( reduced ) fraction
Answer:
3/25
Step-by-step explanation:
12% is equal to 0.12, which is equal to 12/100.
Simplify.
12/100
Divide numerator and denominator by 2.
6/50
Divide numerator and denominator by 2.
3/25.
A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!
Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours
Answer:d. 120x+60=780
Step-by-step explanation:
120 cost per x hours
Flat Rental cost 60
120x+60=780
-60 as the flat rate which won’t change based on time.
120x=720
Divided by a rate of 120 per hour
x=6 hours
Can somebody help me please
Answer:
4096/531441
is your anwer
Step-by-step explanation:
Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.
Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.
How to create regular expressions?A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages are:
L1, which has exactly one "a" but any number of "bs".
L2, which has an odd number of "as" and an even number of "bs".
L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.
L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".
L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.
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