Answer:
(13x -7 ) + (8x -2) = 180
13x - 7 + 8x - 2 = 180
21x -9 = 180
21x = 189
x = 9
Can someone please help me with both of these, thank you !:)
Answer:
1.2985984
2.61917364224
1. Soln' Here;
You just need to multiply 12×6 times and divide by 4 and then multiply by 4.
2. Soln' Here;
In this you need to multiply 12×10 times and divide by 4 and then multiply by 10 and divide by 4 and multiply by 4
4. Higher Order Thinking A national TV
news show conducted an online poll to find
the nation's favorite
comedian. The
website showed
the pictures of
5 comedians and
asked visitors of the
site to vote. The news
show inferred that
the comedian with
the most votes was
the funniest comedian
in the nation.
a. Is the inference valid? Explain.
b. How could you improve the poll? Explain.
No, the inference is not valid because it excluded those who were not online and so did not see the poll.
To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds
How to improve the poll ?The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.
To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.
Find out more on polls at https://brainly.com/question/29829313
#SPJ1
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
Learn more about least time here
brainly.com/question/17429465
#SPJ4
what is the sum of 21 and 5 times a number f is 61
Answer:
f = 8
Step-by-step explanation:
21 + 5f = 61
5f = 61 - 21
f = (61 - 21) / 5
f = 8
Answer:
f = 8
Step-by-step explanation:
"Sum" = addition
"Times" = multiplication
Write an equation to represent this scenario
21 + 5 * f = 61
Multiply 5 by f
21 + 5f = 61
Subtract 21 from both sides of the equation
5f = 40
Divide both sides of the equation by 5
f = 8
Hope this helps :)
Please help!!
Create a polynomial with 3 terms, written in standard form.
how do you know it’s in standard form?
if you can explain it as well that would be great :)
In mathematics, a polynomial is a mathematical expression that is the sum of a number of terms that contain the same variable raised to different powers. These come up all the time in the study of mathematics, so it is important to be familiar with them and the different forms we can write them in.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To write a polynomial in standard form, we make sure that any like terms are combined, and then we arrange the terms so that the exponents of each term go in descending order.
For example, consider the following polynomial:
8x - x⁵ + 2x + 3x² - 7x⁴ + 3To write this polynomial in standard form, we first look for any like terms that need to be combined, where like terms are terms that have the same variable raised to the same power. We see that 8x and 2x are like terms, so we add these together to turn our polynomial into the following:
10x - x⁵+ 3x² - 7x⁴ + 3Now, we just rearrange the polynomial so that the term with the highest degree goes first, the term with the second highest degree goes second, and so on until the polynomial is arranged so that the exponents go in descending order from highest to lowest.
-x⁵ - 7x⁴+ 3x² + 10x + 3This gives us our polynomial in standard form.
A polynomial with 3 terms : x² + 3x³ + 27 - x
___________________________________________
peter is filling a swimming pool with water. after 7 minutes the pool contains 1,372 gallons of water after 12 minutes the pool contains the pools contains 2,352 gallons of water at what rate in gallons per minute is the pool being filled
Answer:
196 gallon/minute
Step-by-step explanation:
Peter is filling a swimming pool with water
After a period of 7 minutes the pool is filled up with 1372 gallons
After 12 minutes the pool is filled up with 2352 gallons
Therefore the rate in gallon per minutes at which the pool is being filled can be calculated as follows
=( 2352-1372)/(12-7)
= 980/5
= 196 gallon/minute
Hence the pool is filled up at 196 gallon/minute
-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
learn more on equation here: https://brainly.com/question/14005330
#SPJ1
Find the approximate area of the area of the sector with an angle measure of 309 degrees and radius 19mi Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
Answer:
973.45 mi²
Step-by-step explanation:
area of a sector
a = (∅/360) * πr²
a = (309/360) * π(19)²
a = 973.4486636536
Rounded
a = 973.45 mi²
Which graph is a parabola?
Step-by-step explanation:
THE THIRD GRAPH IS THE PARABOLA!
HOPE THIS HELPS!
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
Answer these for brainliest
Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
for such more question on function
https://brainly.com/question/13473114
#SPJ8
Evaluate 64 to the power of 1/2 x 10 to the power of -2
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
an ice cream factory makes 180 quarts of ice cream in 2 hours.how many quarts willl be made in 12 hours? please send help
Out of 50 students taking a midterm psychology exam, 26 answered the first of two bonus questions, 33 answered the second bonus question, and 2 didn't bother with either
Answer:
This has no answer. Whats the question? Please tell me so I can help you
Is it probability ???
y = -1/5(x - 1)3 + 7
Answer:
x = 3 √ 7 + 12 or x = 13.91293118
Step-by-step explanation:
Set ( x − 12 ) 3 − 7 , equal to 0 . ( x − 12 ) 3 − 7 = 0 , Solve for x .
x = 3 √7 + 12
The result can be shown in multiple forms.
Exact Form: x = 3 √ 7 + 12
Decimal Form: x = 13.91293118 …
The 2 lines that make an X have a A above the middle and between the 2 lines on the right side says (4x-5) Degrees and on the left side between the lines says (x+16) degrees. Use the properties of vertical angles to find the value of x.
Responses
A 55
B 33
C 77
D 99
Answer:
C?
Step-by-step explanation:
If I understand your description correctly...
Vertical Angles are angles on opposite sides of the X formed by intersecting lines, and are Congruent (equal in measure).
So, 4x-5 = x+16
4x-x-5+5 = x-x+16+5
3x = 21
3x/3 = 21/3
x = 7
1 a Copy and complete to begin to solve the
equation.
4x - 3=2x+7
4x - 3-0=2x + 7-O
Ox - 3=0
Answer:
0
Step-by-step explanation:
BRAINLIEST!!!!!!!!!!!
Which ordered pairs represent points on the graph of this equation? Select all that apply. y = 2x - 3 a)3-3 b) 0,-3 c) 5,7 d) -2,-7 e) 2,1 or f) 4,5
The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).
What is equation?An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.
What is graph?A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.
According to the given information:
To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.
a) (3,-3):
y = 2x - 3
-3 = 2(3) - 3
-3 = 3
This is not true, so (3,-3) is not on the graph.
b) (0,-3):
y = 2x - 3
-3 = 2(0) - 3
-3 = -3
This is true, so (0,-3) is on the graph.
c) (5,7):
y = 2x - 3
7 = 2(5) - 3
7 = 7
This is true, so (5,7) is on the graph.
d) (-2,-7):
y = 2x - 3
-7 = 2(-2) - 3
-7 = -7
This is true, so (-2,-7) is on the graph.
e) (2,1):
y = 2x - 3
1 = 2(2) - 3
1 = 1
This is true, so (2,1) is on the graph.
f) (4,5):
y = 2x - 3
5 = 2(4) - 3
5 = 5
This is true, so (4,5) is on the graph.
Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).
To know more about Graph, ordered pairs visit:
https://brainly.com/question/31060345
#SPJ1
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Differentiate the function.
f(x) = sin(4 ln(x))
Step 1
The function
f(x) = sin(4 ln(x))
is a composition, and so we must use the Chain Rule, given below, to find its derivative.
d
dx
[g(h(x))] = g'(h(x))h'(x)
The "inside" function is
4 ln(x)
and the "outside" function is f(x) =
4cos(4ln(x))
The derivative of f(x) = sin(4ln(x)) is 4cos(4ln(x)) (1/x).
To apply the Chain Rule, we first need to take the derivative of the "inside" function, which is
4 ln(x).
The derivative of this is
4 (1/x).
Next, we take the derivative of the "outside" function, which is
f(x) = sin(4 ln(x))
The derivative of this is
f'(x) = 4cos(4ln(x)).
Finally, we plug these derivatives into the Chain Rule equation to obtain the derivative of the original function:
d
dx
[f(x)] = 4cos(4ln(x)) (1/x)
Therefore, the derivative of f(x) = sin(4ln(x)) is
d
dx
[f(x)] = 4cos(4ln(x)) (1/x).
The derivative of f(x) = sin(4ln(x)) is 4cos(4ln(x)) (1/x).
Learn more about derivative here:
https://brainly.com/question/29090070
#SPJ4
An investor decides to invest some cash in an account paying 14 % annual interest, and to put the rest in a stock fund that ends up earning 11 % over the course of a
year. The investor puts $700 more in the first account than in the stock fund, and at the end of the year finds the total interest from the two investments was $1490.
How much money was invested at each of the two rates?
Answer:
WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:
(Note that values are slightly different
Answer: The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
Step-by-step explanation:
Let the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $700 more in the first account than in the stock fund, therefore, the equation can be written as,
x-y=700
x=700+y
Also, at the end of the year the total interest from the two investments was $1490. Therefore, we can write,
.14x+.11y=1490
Substitute the value of x from the above,
.14(700+y)+.11y=1490
y=5568
substitute the value of y in the first equation,
x-5568=700
x=6268
The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.
PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS
Answer:
The Liberty Tree (1646–1775) was a famous elm tree that stood in Boston near Boston Common, in the years before the American Revolution. The tree became a rallying point for the growing resistance to the rule of Britain over the American colonies, and the ground surrounding it became known as Liberty Hall. By hanging the noose there it is symbolizing liberty and justice is served.
Step-by-step explanation:
please mark brainliest, I hope this helps
How long would it take for an investment to at least double its original amount at 3.62% compounded semi annually
Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.
When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.
This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.
To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:
Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years
To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.
The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years
For such more question on compound
https://brainly.com/question/29547278
#SPJ8
Hunter is 9 years older than 3 times the age of his nephew. Hunter is 33 years old. How old is his nephew?
Answer:
8 years old.
(3x+9)
(3(8)+9)=33
Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.
Answer:
Matt needs to read 55 books for the school book fair. He has already read 7 and reads books at a rate of 4 books per day. How many more books will he need to read?
(can I get brainliest pls)
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
Learn more about substitution here:
brainly.com/question/22340165
#SPJ1