The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.
Answer:
336 miles
Step-by-step explanation:every gallon goes 21 miles so
2gallons= 42 miles
3gallons =63 miles
16 gallons x 21 miles
Answer:
336
Step-by-step explanation:
for every one gallon he goes 21 miles
21+21=42 2 gallons
42+42=84 4 gallons
84+84=168 8 gallons
168+168=336 16 gallons
Which statement about the graph is true?
•The period of the graph is 2pi/3
•The amplitude of the graph is 2 units •The domain of the graph is from –3 to 3 and is inclusive.
•The graph represents a reflection over the x-axis of the function y = 3sin(2x)
Answer:
D. The graph represents a reflection over the x-axis of the function y = 3sin(2x).
Step-by-step explanation:
The statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a trigonometric graph in the picture.
The maximum value graph achieve is 3
The minimum value graph achieve is -3
The midline y = 0
The parent function will be f(x) = sinx
Transformed function:
y = 3sin(2x)
Thus, the statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.
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The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]
During a sale at the mal, all items were marked down 40% off of the original price. Lily purchased a purse that was originall $220.00. What is the price of the purse after the discount?
Answer:
$132
Step-by-step explanation:
40% off means it is actually 60% of the regular price.
Thus, you will multiply the original (220) by .6 (this means 60 percent)
and you will get 220*.6=132
Answer:
132
Step-by-step explanation:
First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132
At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Winner is paid :
Monthly pay while on tour = $5000
Pay per CD sold =. $2
A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.
(Monthly pay * number of months) + (pay per CD * number of CD's)
Earning = 5000m + 2n
B) How much will the winner earn after the first month if 500 CDs are sold?
m = 1, n = 500
5000(1) + 2(500) = $6000
C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?
m = 3
74000 = 5000(3) + 2n
74000 = 15000 + 2n
74000 - 15000 = 2n
59000 = 2n
n = 59000 / 2
n = 29500 CD's
D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?
n = Gold = 50000 ; m = 6
5000(6) + 2(50000)
30000 + 100000 = 130,000
Is this a geometric sequence? 100,50,10,5, 1,...
Answer:
No
Step-by-step explanation:
Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run?
Answer:
Amy and John both run 3 meters in 1 second
Step-by-step explanation:
Amy: 150/50=3 meters in 1 second
John: 1200/400=3 meters in 1 second
Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer
Answer: $22.00
Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.
plz mark brainliest:)
Find the slope of the line that passes through (9,6) and (1,3)
Answer:
3/8
Step-by-step explanation:
Slope m = (y2-y1) / (x2-x1)
= (3-6) / (1-9)
= (-3) / (-8)
= 3/8
two solutions to the inequality p ≤ 16.
Answer:
The inequality says p is equal to 16 and less than 16.
So from under 16 (even negative), you can give a solution.
Examples: -3; 2
Hope this helps!
Please, I need help!
The table above shows the number of trees and the number of apples that Jacob picked from each tree. Answer the following questions based on he table above
1. How many apples will Jacob pick from one tree. (calculate the unit rate).
2.Is there a proportional relationship between the number of trees and the number of apples Jacob picked? Explain using mathematical reasoning.
3. Using the unit rate, write an equation that Jacob can use to calculate how many apples he is able to pick from any tree.
4. Using your equation if Jacob had 25 trees, how many apples will he have.
1. in 1 tree, he will get 13 apples
2. yes there is a proportional relationship in the data because there are 13 apples per tree
3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)
4. if there were 25 trees, he would have picked 325 apples because
13*20 is 260
13*5 is 65
260+65 is 325
please help asap, the question is
Do you see a pattern? If so, explain your reasoning. and What predictions can you make about future rectangles in the set if your pattern continues?
Answer: the pattern is that the rectangles width and length get timed 2.
Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...
What value is missing from the table?
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, colon, 12 (Choice B) B 32:5032:5032, colon, 50 (Choice C) C 3:53:53, colon, 5 (Choice D) D 24:4024:4024, colon, 40 (Choice E) E 14:8014:80
Answer:
C. 3 : 5
D. 24 : 40
Step-by-step explanation:
Select two ratios equivalent to 6 : 10
Checking all options
A. 20 : 12
20 / 12
= 10 /6
= 10 : 6
B. 32 : 50
= 32 / 50
= 16 / 25
C. 3 : 5
3 / 5
= 6 / 10
3/5 is equivalent to 6 / 10
D. 24 : 40
24 / 40 = 12 / 20
= 6 / 10
= 6 : 10
Options C and D are correct
Answer:
the anwser is c. and d.explanation:khan acadmey says so
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
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The keypad to get into a building asks you to put in a five-digit code. You can select any number, 0 through 9, for each of the digits in your code. How many possible codes could you make?
A.1,000
B.100,000
Answer:
B. 100,000
Step-by-step explanation:
Answer: 100 000 combinations
Step-by-step explanation: You can have up to 10 combinations for each digit, times the number of... Numbers you want.
1. Juliet O'Hara works for a weekly paycheck. Last week she worked 5 days for a total of 39 hours. Her regular rate of pay is $10.95 an hour. In addition to federal income tax, state income tax, Medicare, and social security, Juliet also has insurance of $20 a week withheld and puts 4% of her gross pay into a retirement account. Compute her gross pay, deductions, and net pay. SHOW YOUR WORK!
Step-by-step explanation:
given data:
hours worked weekly = 39
pay/her = $10.95
insurance withheld weekly = $20
percentage put into Retirement = 4%
Solution:
Gross pay
= hrs worked weekly x pay/hr
= 39 x $10.95
= $427.05.
Deductions
insurance deduction
= $427.05 – $20
= $407.05
Amount put into retirement account
= 4% of $427.05
= 4/100 x $427.05
= $17.082
NET PAY
= $427.05 – $20 –$17.082
= $389.97
Allyson has a collection of 26 mugs. When packing to move, she put the same number of mugs in each of the first 4 boxes and 2 mugs in the last box. What is the number of mugs in each of the first four boxes?
Answer:
6 mugs
Step-by-step explanation:
6*4=24
add the remainder 2 to get 26,
since its just asking for the 4 boxes the answer is 6
PLSSS HELP ME I WILL MARK U!!!!!!!
Answer: am not 100% sure but shouldn't it be all if them?
Step-by-step explanation:
Answer:
Everything except 2
Step-by-step explanation:
Terms are separated by signs. 2 is the coefficient (number in front of a variable)
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
The temperature at 8 p.m. was 6 degrees. at 2 p.m. the temperature decreased 13 degrees. What was the temperature at 2 a.m.?
Step-by-step explanation:
Given parameters:
Temperature at 8pm = 6°C
Temperature at 2am = decreased by 13°C
Unknown:
Temperature at 2am
Solution:
Since this is a temperature decrease problem, the temperature at 2am should be lesser.
Temperature at 2am = Temperature at 8pm - Temperature decrease
= 6°C - 13°C
= -7°C
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answer:
The answer is the first choice and the last choice.
Step-by-step explanation:
The first one is already solved for y, so when you plug 9 into the equation in the x spot since 9 is the x-coordinate of the point, you get -2, which is correct because it is the corresponding y-value.
The second one is a mess when trying to solve and it clearly doesn't yield the right answer.
For the last one, when you solve for y and then plug in 9 for x, you get -2, the y-value making it correct.
67.5 Divided by 2.25 show work please:(!!
Answer:
The right answer for your question is 30 because if you divide 67.5 by 2.25 then,the quotient would be 30.
Hope it helps you.
The required solution will be 30 which is determined by 67.5 divided by 2.25.
What is the division operation?The basic arithmetic operations are division, multiplication (the opposite of division), addition, and subtraction. Arithmetic operations are methods for combining integers to generate new numbers. The division is defined as the number of times a given number is divided by another number.
67.5 Divided by 2.25
67.5 ÷ 2.25
Convert the dividend and divisor to integers by multiplying each by 100, making them 6750 and 225 respectively.
⇒ 6750 / 225
Apply the division operation, and we get
⇒ 30
Thus, the required solution will be 30 which is determined by 67.5 divided by 2.25.
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Adrian bought 20 chicken wings for $44.00. How much does each wing cost?
Answer:
my crushes name is Adrian but the answer is $2.20
Step-by-step explanation:
During a soccer game, a goalie kicks a ball upward from the ground. The equation h(t)=-10t^2+40 represents the height of the ball above the ground in feet as a function of time in seconds. When the ball begins moving downward toward the ground, a player from the other team intercepts the ball with his chest 11 feet above the ground. How long after the goalie kicks the ball does the player intercept the ball?
Answer:
3.98 seconds
Step-by-step explanation:
The given relationship between height, in feet, and the time, in seconds, is
[tex]h(t)=-10t^2+40[/tex]
[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]
[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]
Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].
Now, the time to reach the player after the goalie kicks the ball
[tex]\Delta t=t_2-t_1[/tex]
By using equation (i)
[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]
Now, at the highest point, the slope of the graph must be zero.
So, [tex]\frac {dh(t)}{dt}=0[/tex]
[tex]\Rightarrow -20t=0[/tex]
[tex]\Rightarrow t=0[/tex]
As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.
So, from equation (ii) become.
[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]
[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]
[tex]=1.98+2[/tex]
= 3.98 seconds
Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.
You have started your own online business selling dvds. You sell twenty four DVD’s per week online. How many DVDs do you sell in six weeks?
Answer:
144 multiply 24 six times 24x6
For the function y=7−3x, what is the ordered pair for x=5?
Answer:
The ordered pair is (5,-8)
Step-by-step explanation:
Here, we are interested in writing the ordered pair for x = 5
We need to get y.
We can get y by substituting into the given equation;
y = 7 - 3(5)
y = 7-15
y = -8
The ordered pair is (5,-8)
What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5
Answer:
The slope of the graph is 5 / 2
To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]
Given the following equation:
[tex]5x-2y=20[/tex]To determine the slope of the graph:
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 1.
Where:
x and y are the points.m is the slope.b is the intercept.[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex] ....equation 2
Comparing eqn. 1 and eqn. 2, w have:
Slope, m = [tex]\frac{5}{2}[/tex]
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You deposit $900 in a savings account that earns a simple interest rate of 4.5% per year. You calculate you will earn $1215 in interest over 3 years. Is your answer reasonable?
A. Yes; the interest will be much less than the total in the account
B. No; the interest will be much less than the total in the account.
C. No; the interest will be more than the total in the account.
D. Yes; the interest will be more than the total in the account.
Answer:
a..
Step-by-step explanation:
yes the interest will be much less than total than the account
The answer is not reasonable because the interest will be much less than the total in the account.
In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.
Simple interest = amount deposited x time x interest rate
$900 x 0.045 x 3 = $121.50
The total amount in the account in three years = amount deposited + interest earned
$900 + $121.50 = $1021.50.
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Determine if the following is a PROPORTIONAL
relationship or NONPROPORTIONAL relationship.
y = -2x + 2