Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
Please help
don’t give any fake links pls
Answer:
x²+y²+4y -5=0
Step-by-step explanation:
x²+(y+2)²=3²
<=> x²+y²+4y+4=9
=> x²+y²+4y -5=0
7. If 294 J of heat is transferred to a 10.0 g sample of silver at 25 ºC, what is the
final temperature of the silver? Specific heat capacity of silver is 0.235 J/gºC.
Answer:
T~final is 150.11 C
Step-by-step explanation:
To solve this we need this specific heat equation:
Q=mc(T~final - T~initial) that is the difference of final temperature minus initial temperature.
We are given:
Q = 294 J
m = 10 g
c = 0.235 J/gC
T~initial = 25 C
Plug the values in to the equation
294 J = 10 g * 0.235 J/gC * T(difference)
294 J = 2.35 J/C * T(difference)
Divide both sides by 2.35 J/C
294 J / 2.35 J/C = T(difference)
T(difference) = 125.11 C
If the initial temperature was 25 C then then
T~final = 25 C + 125.11 C or 150.11 C
15 members of the drama club are supposed to finish all
the decorations in 12 hours. After 4 hours have passed, a few
members come to help and everyone finishes the remaining job
in 6 hours. How many members came to help? PLZZ HELP I WILL AWARD BRAINLIEST
Answer:
5
Step-by-step explanation:
hope its right good luck
Number of members came to help = 5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
15 members complete decoration in 12 hours,
After 4 hours left time = 8 hours
15 members will do the remaining work in 8 hours
Let x be the number of extra members join
15 + x members will do the remaining work in 6 hours
Work done = no. of members × time
Work is same
thus,
15 × 8 = 15+x × 6
120 = 90 + 6x
30 = 6x
x = 5
No. of extra members = 5
Hence, 5 members came to help.
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A family of four went out to dinner. The bill for dinner was $93.07. The family decided to
leave a 15% tip. What was the total expense?
Answer: Down below. Also rounded up with whole dollar.
Step-by-step explanation:
Tip Total:$ 13.96
Tip Each Person:$ 3.49
Total (Bill + Tip):$ 107.03
Total Each Person:$ 26.76
If you round up to the whole dollar.
Tip Total:$ 14
Tip Each Person:$ 4
Total (Bill + Tip):$ 108
Total Each Person:$ 27
Practice another write the function in terms of unit step functions. find the laplace transform of the given function. f(t) = t, 0 ≤ t < 4 0, t ≥ 4
Using the Laplace transform to solve the given integral equation f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \(\frac{4(1-2e^-5s)/}{s}\)
explanation is given in the image below:
Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.
The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.
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Multiply this question
The solution to the multiplication of the square roots are;
6√5 by 2√7 = 12√352√7 by 6√5 = 12√35√10 by √30 = 10√3How to multiply square roots?6√5 by 2√7
= 6×2√5×7
= 12√35
2√7 by 6√5
Multiply the square root separately
= 2×6√7×5
= 12√35
√10 by √30
= √300
To find the multiplication of perfect square of 300
= √100 × 3
Root 100 = 10
= 10√3
Hence, the multiplication of √10 by √30 is 10√3.
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How many different 3-digit PIN codes are there that only include the digits 7, 4, 3 and 2?
Answer:
64
Step-by-step explanation:
We can use the product rule of counting to answer this:
There are 4 possibilities for the 1st digit
There are 4 possibilities for the 2nd digit
There are 4 possibilities for the 3rd digit
So we use the product rule of counting to give us:
4×4×4=64
I really am in need of help with my math
The problem is asking for two function equations of the "quadratic" graph, the factored form equation and the vertex form equation.
Vertex form equation) This functional equation has always the form
\(f(x)=a\cdot(x-h)^2+k\)It is called vertex form for (h,k) is the vertex of the parabola. Intuitively, the vertex of a parabola is its "starting" point, the point from where the parabola opens its "arms".
In this case, as you can see in the picture above, the vertex is
\((h,k)=(2,-8)\)Then,
\(h=2,k=-8\)Thus our equation becomes
\(f(x)=a\cdot(x-2)^2-8\)Our task now is to find the constant a. Note that the origin (0,0) is part of our function, that is
\(f(0)=0\)This (equality) is the same as
\(0=f(0)=a\cdot(0-2)^2-8\)Then
\(\begin{gathered} 0=a\cdot(-2)^2-8, \\ 8=a\cdot(-2)^2, \\ 8=a\cdot4,\text{ for }(-2)^2=4 \\ a=\frac{8}{4}=2 \end{gathered}\)Factored form equation) This equation is easier. It has the form
\(f(x)=b(x-r_1)(x-r_2),\)where r_1 and r_2 denote the roots of the parabola. They are just the x-intercepts of the function.
In this case, as you can see in the picture above,
\(r_1=0,r_2=4\)Then, our equation becomes
\(f(x)=b\cdot x\cdot(x-4)\)For the vertex of the parabola is clearly a point of the function, we have
\(f(2)=-8\)So
\(-8=f(2)=b\cdot2\cdot(2-4)\)Let's solve this for b:
\(\begin{gathered} -8=f(2)=b\cdot2\cdot(2-4), \\ -8=b\cdot2\cdot(-2), \\ -8=b\cdot(-4), \\ b=\frac{-8}{-4}, \\ b=2 \end{gathered}\)AnswerThe vertex form equation of f(x) is
\(f(x)={{\textcolor{red}{2}}\cdot(x-{\textcolor{red}{2}})}^2\textcolor{red}{-8}\)(Be careful! In the third box, you must put -8 not just 8. In the second one, you must put just 2 without the minus sign)
The factored form equation of f(x) is
\(f(x)=\textcolor{red}{2}\cdot x\cdot(x-\textcolor{red}{4})\)State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)
Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
help help help !!!!! iam stuck in this question
Timothy is a photographer for a modeling agency. His biweekly salary is $2,115.25. What are his annual
and monthly salaries.
The points (0, 1), (1, 13), (2, 23), and (3.31) are on the graph of a quadratic function.
Calculate the second difference and state the a-value of the function.
Answer: try using desmos its a life safer
Step-by-step explanation:
What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)
When we divide the 464 by 60 we get the following remainder in our answer that is 44.
What do math remainders mean?The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
Briefing :7.733333333333333
=7 44/60 ⇔ 7 R 44
464 divided by 60
=7 with a remainder of 44
Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:
464 divide by 60 yields a quotient and residual of 7 R 44.
464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.
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An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship no more than 40 pieces of furniture and must sell no less than $12000 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.
Given as :
The cost of each chair = $ 200
The cost of each table = $ 600
The total number of furniture sold per day = 40
The minimum amount of selling per day = $ 12000
Let the total number of chair = C
The total number of table = T
So , according to question
C + T = 40 .......1
200 C + 600 T = 12000 .......2
Solving eq 1 and 2
200 C + 600 T = 12000
200 × ( C + T ) = 40 × 200
i.e 200 C + 200 T = 8000
or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000
Or, 400 T = 4000
i.e T = 10
Put The value of T in eq 2
So, 200 C + 600 × 10 = 12000
or , 200 C + 6000 = 12,000
Or, 200 C = 12000 - 6000
Or, 200 C = 6000
i.e C = 30
The number of chair sold is 30
If the number of chair sold is 10 ,
Then the min number of table sold = 200 × 30 + 600 T = 12000
i.e 600 T = 12000 - 6000
or, 600 T = 6000
∴ T = 10
I.e T = 10
Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .
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Is √ 3x² 5y is a polynomial?
Answer: yes
Step-by-step explanation:
There are 15 books on a shelf. 8 of these books are new. The rest of them are used.
(a) What is the ratio of used books to all books on the shelf?
(b) What is the ratio of new books to used books?
Answer:
a. 7:15
b. 8:7
Step-by-step explanation:
there are 7 used books and 8 new books, thus, there are 15 books on a shelf.
(a) The ratio of used books to all books on the shelf is \(\dfrac{7}{15}\).
(b)The ratio of new books to used books is \(\dfrac{8}{7}\).
Given that:
Total number of books = 15
Total number of new books = 8
Total number of used books= 15-8
= 7
(a) The ratio of used books to all books on the shelf is calculated as:
Ratio = \(\dfrac{ Used \ books}{ Total \ books}\)
= \(\dfrac{7}{15}\)
(b) The ratio of new books to used books is calculated as:
Ratio = \(\dfrac{ New \ books}{ Used \ books}\)
= \(\dfrac{8}{7}\)
Thus, the ratio of used books to all books on the shelf is \(\dfrac{7}{15}\) and the ratio of new books to used books is \(\dfrac{8}{7}\).
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21.6/12x = 34.2 does anyone know how to do this?
Answer:
x = 32.6
Step-by-step explanation:
Please share the instructions: "Find the value of x ... " Also, indicate whether x is in the numerator or denominator.
If in the numerator, then we have (12.6/12)x = 34.2.
Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6
a bag contains 40 pieces of candy, of which 36 are mint and 4 strawberry flavor. if the pieces of candy are distributed in a random manner to four children so that each child receives 10 pieces, what is the probability that all four strawberry pieces will be received by the same child?
The probability that all four strawberry pieces will be received by the same child 9/10 outcome.
Total piece of candy = 40
Mint flavor = 36
Strawberry = 04
There are 36 + 04 = 40 total outcomes for the chocolate pick.
There are 36 outcomes resulting in you picking a mint candy.
Probability is the number of outcomes you’re testing for divided by the number of total outcomes. So in this case that’s 36/40 or 4/5 . And also,
04 /40 = 1/10
Therefore, adding both, we get,
4/5 + 1/10 = 9/10
The probability that all four strawberry pieces will be received by the same child is 9/10.
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what is the reciprocal of 5/2
Answer:
2/5
Step-by-step explanation:
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir bracelets, which are $3.25 each. All prices include taxes.
Answer:
3.25 <26.50 (put a line under the < sign please Ok)
0mar can buy 8 bracelets
Step-by-step explanation:
40.00 -13.50 (for hat)
=26.50 remaining
each bracelet cost 3.25
let x be the bracelets
3.25x < 26.50 (put a line under the < sign ok )
divide both sides by 3,25
3.25x /3.25 < 26.50 /3.25 (put line under the < sign)
x = 8.15 Bracelets cant be in decimal form so round to the nearest whole number x < 8 (put a line under the < sign)
Therefor Omar can buy 8 bracelets
At an archery competition, Aylin hits the target 14 out of 20 tries in round one. If Aylin gets 24 tries in round two, approximately how many times are they most likely to hit the target
Answer:
16.8
Step-by-step explanation:
14/20 = 0.7
24 x 0.7 = 16.8
(Feel free to round up or down, or keep it the same depending on the criteria of the question!)
Researchers recorded that a certain bacteria population declined from 130,000 to 400 in 18 hours. At this rate of decay, how many bacteria was there at 12 hours? Round to the nearest whole number.
Answer:
There were 43,600 bacteria at 12 hours.
Step-by-step explanation:
Rate of Decay
There are several ways to model the rate of decay in a variety of situations. Two of the most-used are exponential decay and linear decay.
The situation expressed in the question talks about a certain bacteria population that went from 130,000 to 400 in 18 hours. This information suggests the linear decay model is being used.
The rate of decay is calculated as the slope of the line.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
We are given the points (0;130,000) and (18;400), thus:
\(\displaystyle m=\frac{400-130,000}{18-0}\)
m = -7,200
This means the bacteria population decays by 7,200 each hour. Thus, when 12 hours had passed, the bacteria population was:
130,000 - 7,200 * 12 = 43,600
There were 43,600 bacteria at 12 hours.
what is the slope of the graph of y=12x-19
Answer:
The slope is 12
Step-by-step explanation:
Remember the slope formula y=mx+b
m= the slope
b= y-intercept
Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long.
Answer: Use a compass to measure the length of AB. Draw an arc from point B (or point A) with that distance. Extend line AB through that arc and label the intersection as point C. AC is twice the length of AB.
Answer: You could use the construction tool or a compass and straightedge to create a line segment that is twice as long by placing the center of your compass on point then adjusting the compass width to AB's length. Next, place the compass's center on B and draw an arc without changing the compass's width. After that, draw a line from Point A to the arc with your straightedge, this new line segment should now be twice as long as the previous one.
Step-by-step explanation:
Hope this helps
For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df within treatments?
A 24
B 20
C 29
D 30
Option A is the correct answer.
For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.
The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.
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Ameekah is working with consecutive integers. If she uses x to represent her first number, what should she use to represent her second number?
x
x + 1
x + 2
2x
She should use (b) x + 1 to represent her second number
How to determine the representation of the second number?From the question, we have the following statements that can be used in our computation:
She uses x to represent her first numberThe numbers are consecutive numbersAs a general rule
Consecutive numbers are number that have a difference of 1 i.e both numbers are next to each other
Take for instance:
2 and 3, 5 and 6, 10 and 11 are all instances of consecutive numbers
Recall that she uses x to represent her first number
This means that the next number is
Next number = First number + 1
Substitute the known values in the above equation, so, we have the following representation
Next number = x + 1
Hence, the second number is (b) x + 1
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A researcher asked 933 people what their favourite type of TV programme was: news, documentary, soap or sports. They could only choose one answer. As such, the researcher had the number of people who chose each category of programme. How should she analyse these data?
a. T-test
b. One-way analysis of variance
c. Chi-square test
d. Regression
The researcher should analyze the data obtained from 933 people who were asked about their favorite type of TV program, with the condition that they could only choose one answer. The appropriate statistical test to analyze these data is c. Chi-square test.
The Chi-square test is used for analyzing categorical data, which is the case in this scenario where individuals have to choose among news, documentary, soap, or sports. The test will help the researcher determine if there is a significant difference in preferences for TV program types among the respondents.
The specific techniques and statistical tests used may vary depending on the goals of the research and the nature of the data.
Therefore option c is correct.
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Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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5x – 18 > 2(4x – 15).
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
What's the equation of the line that passes through the points (–1,5) and (1,–1)?
Answer:
y = -3x + 2
extra characters down here