Answer:
8.3 -8.7n
Step-by-step explanation:
Maybe you want to simplify this expression.
First of all, recognize it is a sum of four terms. We use "sum" in the general sense, where the things being added can be positive or negative.
3.3
-5.7n
-3n
5
Two of these terms are regular decimal numbers: 3.3 and 5. They can be added together without any fuss: 3.3 +5 = 8.3.
The other two terms are products. One of the factors of the product is a constant, called the "coefficient" of the term. The other factor is the letter n, called a "variable".
You may recall that multiplication is a way to write repeated addition:
3×6 = 6 +6 +6
The factor 3 in this example tells you how many times 6 is included in the sum. We can combine such sums:
(3×6) + (2×6) = (6 +6 +6) +(6 +6) = (3+2)×6 = 5×6
If you replace 6 with n, the same thing is true:
3n +2n = (3+2)n = 5n
That is, we can combine terms containing n by adding their coefficients.
__
Your simplification problem then can be written as ...
3.3 -5.7n -3n +5
= (3.3 +5) +(-5.7n -3n) . . . . . . "like" terms are grouped together
= 8.3 +(-5.7-3)n
= 8.3 -8.7n
What is the solution of x3 – x2 > 9(x – 1)
Consider the cubic equation,
x³ - x² = 9 (x - 1)
We can solve this by factoring:
x³ - x² - 9x + 9 = 0
x² (x - 1) - 9 (x - 1) = 0
(x² - 9) (x - 1) = 0
(x - 3) (x + 3) (x - 1) = 0
So the cubic has roots at x = 3, x = -3, and x = 1. Split the real line into the open intervals (-∞, -3), (-3, 1), (1, 3), and (3, ∞). Check if the inequality holds for some test point taken from each interval:
• in (-∞, -3), take x = -4. Then
(-4)³ - (-4)² = -80
9 (-4 - 1) = -45
but -80 > -45 is not true. So this interval is not in the solution set.
• in (-3, -1), take x = -2. Then
(-2)³ - (-2)² = -12
9 (-2 - 1) = -27
and -12 > -27 is true. So x in (-3, -1) satisfies the inequality.
• in (1, 3), take x = 2. Then
2³ - 2² = 4
9 (2 - 1) = 9
but 4 > 9 is not true.
• in (3, ∞), take x = 4. Then
4³ - 4² = 48
9 (4 - 1) = 27
and 48 > 27 is true.
So, the complete solution set is
(-3, -1) U (3, ∞)
(where U denotes union)
please help me on this
Answer:
answe are ,
1). (n+10)
2) (3n+4)
3). (7x -9)
4). (x+6)
5). (5x+2)
6). (x+10)
Choose all of the algebraic expressions that could represent the phrase below.
nine more than the product of 5 times the number of tires t
A. 9 + 5t
B. 5 ▪ t + 9
C. (9 + 5)t
D. (5 × t) + 9
E. 5 + 9t
please a proper answer
Answer:
A.
B. (if the black block represents a multiplication sign)
D.
Step-by-step explanation:
We have the expression "Nine more than the product of 5 times the number of tires t". Let's focus on nine more to cross out some answers, "nine more than the" indicates that there must be a certain operation to happen first before 9 is added onto it. So cross out the answers that do not have this property. C and E.
Leaving us with the only last three answers that represent it. (If B. is a multiplication sign)
Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the proportion is about 64%, but wants to estimate the proportion better by sampling soldiers until her margin of error for a 94% Confidence Interval is less than 0.008. How many soldiers should Haley sample?
Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Estimate of the proportion of 64%, hence [tex]\pi = 0.64[/tex].
94% confidence level
So [tex]\alpha = 0.94[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so [tex]z = 1.88[/tex].
Margin of error of less than 0.008 is wanted, hence, we have to find n when M = 0.008.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}[/tex]
[tex]0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}[/tex]
[tex]\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2[/tex]
[tex]n = 12723.84[/tex]
Rounding up, Haley should sample 12,724 soldiers.
A similar problem is given at https://brainly.com/question/25404151
Can someone please give me the (Answers) to this? ... please ...
Answer:
The ramp is changing over time
It affects its accelaration because its going at different speeds
Thats all i can help you with now
Step-by-step explanation:
HELP NOW!!! PLZ Tia invests $2,500 at an interest rate of 4%, compounded quarterly, and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years?
Group of answer choices
$5,968.75
$6,241.20
$6,055.73
$6,055.73
Step-by-step equation:
THE MAIN FORMULA:
initial amount (rate)^the amount of times it is occuring
Step #1, we need to break up the problem for the information:
Tia invests $2,500 at an interest rate of 4%, compounded quarterly,
and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years ?
Step #2, find out how much the first account has in 5 years:
so we know that the rate is 4% quarterly and a quarter is 4. You have to divide 4% (.04 in decimal form) and 4 to get how much the rate is every quarter. That would be .01. After finding how much it is quarterly you would need to add 1. because it is increasing and not decreasing.
For the 20, you would need to multiply 5 and 4. 5 is the amount of years and the 4 is how many times it is happening in that 1 year.
2,500 (1.01)^20
Step #3, find out how much the second account has in 5 years:
we do the exact same steps like we did to find her first account but with different numbers.The number 20 is 5 because it only says for the second account "compounded annually" and annually means oncea year so you would have to mulitiply 5 by 1 and it would get you 5.
To find the rate, we would need to add 1 instead of subtracting one because the problem is and not decreasing. So it would be 3.75% (.0375 in decimal form) plus 1. and it would get you 1.0375.
2,500 (1.0375)^5
The last step is adding the answers to both of those equations together to get the amount of money that she invested:
3005.25 + 3050.48= $6055.73
Sally spent $13 out of her $20 weekly allowance. what percentage of her allowance hes she spent?
Ryan invested some money in his bank.
He agreed a simple interest rate of 4% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £24.
Work out the value of Ryan's initial investment.
Answer:
27.16
Step-by-step explanation:
Answer:
25.92
Step-by-step explanation:
The Ninoy Aquino International Airport (NAIA) and Singapore Changi Airport (SIN) are about 2,400 kilometers apart. A Singapore Airlines passenger plane leaves NAIA, traveling towards SIN at an average speed of 800 kilometers per hour. A Philippine Airline passenger plane leaves SIN at the same time, traveling toward NAIA, averaging 640 kilometers per hour. How long will it take them to meet?
The relative velocity of one plane with respect to the other plane is given
by the sum of the velocity of the two planes.
The time it would take the two planes to meet is [tex]\underline{1. \overline 6 \ km/hr}[/tex]Reasons:
The distance between the two airports = 2,400 km
Speed of the plane from NAIA = 800 kilometer per hour
Speed of the plane coming from SIN = 640 kilometers per hour
Let t represent the time after which the two planes meet, we have;
800 × t + 640 × t = 2,400
[tex]\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr[/tex]
The time after which the two planes meet, t = [tex]\underline{1. \overline 6 \ km/hr}[/tex]
Learn more here:
https://brainly.com/question/17228388
Raj can read a chapter in his book in 16 minutes.How many chapters can Raj read in 64 minutes?
Answer:
Raju can read one chapter 16 minutes so in if you divide 64 by 16 you get 4 meaning he can read 4 chapters in 64 minutes.
For what value of b is y = 4 a solution to the equation y + 2 = by +8
b = -0.5
4 + 2 = - 0.5 * 4 + 8
6 = -2 + 8
6 = 6
Which is true, Therefore the answer is -0.5
For b = - 0.5 , y =4 is the solution of the equation y + 2 = by + 8.
We have the following equation → y + 2 = by + 8.
We have to find the value of b for which y = 4 is a solution to the equation → y + 2 = by + 8.
What is the solution of a function f(x) ?The solution of a function f(x) is the value of x for which f(x) = 0.
According to the question, we have -
y + 2 = by + 8
y - by - 6 = 0
y(1 - b) - 6 = 0
y(1 - b) = 6
1 - b = 6/y
1 - 6/y = b
b + 6/y = 1
For y = 4 ->
b + 6/4 = 1
b + 1.5 = 1
b = - 0.5
Hence, for b = - 0.5 , y =4 is the solution of the equation y + 2 = by + 8.
To solve more questions on Solutions of equation, visit the link below-
https://brainly.com/question/23310580
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The graph of g(x) is a transformation of the graph of f(x)=3^x. Enter the equation for g (x) in the box.
g(x)=
Answer:
Sorry This Is Late
The Answer Is "g(x)= 3^(x+1)-2"
Step-by-step explanation:
I Just Took The Test :)
math help please ..................
Answer:
the correct answer is 9/28
Answer:
9/28
Step-by-step explanation:
I hope this helps!
have some points part 2
because i have nothing else to actually use these for
Answer:
why?
Step-by-step explanation:
Answer:thank
have a great day
Find a value for x that makes the equation true. 65 = -5x NO DOWNLOADS JUST TYPE IN THE ANSWER PLS
what is the value of A? im so bad at these plz help
Find the equation of a line in slope-intercept from the following points:
(0,0) (1,7)
y=1/7x+7
y=7x
y=7x+1
y=1/7x
Answer: y = 7x
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
In this case, the y-intercept is 0.
Slope = (y2 - y1) / (x2 - x1)
= (7 - 0) / (1 - 0)
= 7 / 1
= 7
Plug in the slope and y-intercept, we get y = 7x + 0 = 7x
What is the word setrilela unscrambled religion answer
What is the value of y
Answer:
y = 20 degrees.
Step-by-step explanation:
Both base angles are 25 degrees so 5x = 25 giving x = 5.
3y + 70 = 180 - 2(25) = 130
3y = 130 - 70 = 60
y = 60/3 = 20.
Please I need help
SAVE ME
The exterior angle of a triangle is equal to the sum of 2 opposite interior angles of the triangle.
Here,
2 opp. interior angles = 30° & (4x + 2)°
Exterior angle = (8 + 6x)°
So,
8 + 6x = 4x + 2 + 30
8 + 6x = 4x + 32
8 - 32 = 4x - 6x
-24 = -2x
=》 12 = x
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
David rolls a fair dice 30 times.
How many times would David expect to roll an even number?
Answer:
15 times
Step-by-step explanation:
You have $700 to buy a new carpet for your bedroom. Write and solve an inequality that represents the costs per square foot that you can pay for the new carpet. Specify the units of measure in each step.
Answer:
3 squear meator of concrete
Step-by-step explanation:
help me, systems of equations
Answer:
(x, y) = (1, -6)
Step-by-step explanation:
The expression for y given by the first equation can be substituted into the second equation.
11x +(-8x +2) = 5 . . . substitute for y
3x +2 = 5 . . . . . . . simplify
3x = 3 . . . . . . . . . subtract 2
x = 1 . . . . . . . . . divide by 3
y = -8×1 +2 = -6 . . . . use the first equation to find y
The solution is (x, y) = (1, -6).
Write the equation of the line that is parallel to 6x + 5y = -10 and passes through the point (-10, 9)
Answer:
y= -6x - 51
Step-by-step explanation:
5y = -6x - 10
Slope: -6
y = -6/5x - 2
Point: (-10,9)
y-intercept: 9 - (-6)(-10) = 9 -60 = - 51
Which set of ordered pairs does not represent a function?
O{(-7,8), (2,1),(-8, -9), (-8,6)}
O {(5,-1),(-3,-2),(-1,-2), (-5,7)}
O {(1, -6), (4,-6), (5,0), (6,6)}
{(3,0), (-2,-3), (4, -7), (8, -9)}
Answer:
(-7,8), (2,1),(-8, -9), (-8,6)
Step-by-step explanation:
the x values repeat
The x values are not supposed to repeat to create a function
Find a fraction that is equivalent to 2/4. (Write three fractions.)
Answer:
1/2 3/6 4/8 and 5/10 because all are equivalent to 2/4
Which of the following equations have exactly one solution?
Choose all answers that apply.
A. 12x+12=13x-12
B.-13x+12=13x+13
C.-13x+12=13x-13
D.12x+12=13x+12
Answer:
A,B,C,D
Step-by-step explanation:
what happens when a charged balloon is brought close to a wall?
Do the ratios 1/4 and 5/16 form a proportion?
Answer:
No
Step-by-step explanation:
1/4=0.25
5/16 does not equal 0.25
OMG YES I WILL MARK BRAINLST
Which function has the greater y-intercept? What is that value?
-10
4
10
3
16
Function A; 1.5
Function B; 30
Function B; 23
Function B; 3
8
2
Function A; 1
Function B; 1
Function A; 9
Answer:
Step-by-step explanation:
b
