Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).
a. 26
b. 38
c. 40
d. 42
Answer:
(p-q) (3) = 40 The anwser is c
Step-by-step explanation:
If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
p(n)=4n²+4n−6 and q(n)=n²−5n+8
Substitute the given values and apply the arithmetic operation as,
(p−q) = (4n²+4n−6) - (n²−5n+8)
(p−q) =3n²-n+2
Put n = 3 for the given conditions,
(p−q)(3) =3(3)² - 3 +2
(p−q)(3) =27-3+2
(p−q)(3) =29-3
(p−q)(3) =26
Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
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A calculator is able to generate random numbers from the interval (0, 1). We need five random numbers from (0, 2/5). Using this calculator, how many independent random numbers should we generate, on average, to find the five numbers needed?
Answer:
12.5
Step-by-step explanation:
Using the negative binomial method, we can solve this question. Try defining the variable with parameters (r,p) with success probability p.
Hope this helped!
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
Find the value of z such that 0.02 of the area lies to the right of z. Round your answer to two decimal places.
The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.
Given that,
0.02 of the area lies to the right of z.
Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.
Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98
Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.
Therefore, the value of z, rounded to two decimal places, is 2.06.
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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).
To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.
Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.
By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.
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Order the following integers from least to greatest -25,-41,36,28,and16
The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
D = 0.032t2 + 0.21t + 5.6, 0 ≤ t ≤ 8
where t represents the year, with t = 0 corresponding to 2000.†
Step-by-step explanation:
Given the equation that modeled the total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by;
D = 0.032t^2 + 0.21t + 5.6, 0 ≤ t ≤ 8
We are to find the total public debt with the time interval;
when t = 0;
D = 0.032(0)^2 + 0.21(0) + 5.6
D = 5.6 trillion dollars
when t = 1;
D = 0.032(1)^2 + 0.21(1) + 5.6
D = 0.032+0.21+5.6
D = 5.842 trillion dollars
when t = 2;
D = 0.032(2)^2 + 0.21(2) + 5.6
D = 0.128+0.42+5.6
D = 6.148 trillion dollars
when t = 3;
D = 0.032(3)^2 + 0.21(3) + 5.6
D = 0.288+0.63+5.6
D = 6.518 trillion dollars
when t = 4;
D = 0.032(4)^2 + 0.21(4) + 5.6
D = 0.512+0.84+5.6
D = 6.952 trillion dollars
when t = 5;
D = 0.032(5)^2 + 0.21(5) + 5.6
D = 0.8+1.05+5.6
D = 7.45 trillion dollars
when t = 6;
D = 0.032(6)^2 + 0.21(6) + 5.6
D = 1.152+1.26+5.6
D = 8.012 trillion dollars
when t = 7;
D = 0.032(7)^2 + 0.21(7) + 5.6
D = 1.568+1.47+5.6
D = 8.638 trillion dollars
when t = 8;
D = 0.032(8)^2 + 0.21(8) + 5.6
D = 0.032(64)+1.68+5.6
D = 2.048+1.68+5.6
D = 9.328 trillion dollars
From the values gotten, we can see that the total public debt reached or surpassed 7 trillion dollars in 2005
To get the public debt in 2017, we can simply substitute t = 17 into the expression D = 0.032t2 + 0.21t + 5.6
D = 0.032(17)^2 + 0.21(17) + 5.6
D = 0.032(289)+3.57+5.6
D = 9.248+3.57+5.6
D(17) = 18.418 trillion dollars
A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $45 each, and tickets for tier seats cost $60 each. The total cost of the tickets was $585. How many tickets for tier seats did they purchase?
Answer:
They purchased 3 tickets for tier seats.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=12 (1)
45x+60y=585 (2), where
x is the number of tickets for floor seats
y is the number of tickets for tier seats
First, you can solve for x in (1):
x=12-y (3)
Next, you can replace (3) in (2):
45(12-y)+60y=585
540-45y+60y=585
15y=585-540
15y=45
y=45/15
y=3
Now, you can replace the value of y in (3) to find x:
x=12-3
x=9
According to this, the answer is that they purchased 3 tickets for tier seats.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
x = 6
Step-by-step explanation:
first find the angle
51 + 72 + x = 180
123 + x = 180
x = 180 - 123
x = 57
so the third angle is 57
now find the value of x in the given expression
8x + 9 = 57
8x = 57 - 9
8x = 48
x = 48/8
x = 6
now check whether the value of x is correct or not by evaluating the value of x in expression
8x + 9 = 57
8(6) + 9 = 57
48 + 9 = 57
57 = 57
so its true
Method 2
51 + 72 + (8x + 9) = 180
123 + 8x + 9 = 180
132 + 8x = 180
8x = 180-132
8x = 48
x = 48/8
x = 6
now again you can check by evaluating the value of x in the above expression
On a certain hot summer's day, 647 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1213.50. How many children and how many adults swam at the public pool that day?
Sombody tell me what the y intercept is
Answer:
1
Step-by-step explanation:
The line is crossing over the y-axis on the 1.
Answer:
(0,1)
Step-by-step explanation:
The y-intercept is always the point where the line crosses the y-axis.
To the nearest millimeter, a cell phone is 74 mm long and 42 mm wide. What is the ratio of the width to the length?
Answer:
You will want to compare the width to the length, or 42 mm/ 74mm ...the units cancel, which is what you want for a ratio...and you usually want to simplify your ratio
Hope that helps
Question 17
(01.07 LC)
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
Question 17 options:
1)
3.6 ⋅ 106
2)
3.9 ⋅ 106
3)
3.6 ⋅ 109
4)
3.9 ⋅ 109
Answer:
3)
3.6 • 109
Step-by-step explanation:
i think lang naman bat kaylangan ng explanation charr!!
Use substitution.
2x +3y = -5
4x+3y= 17
Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
Answer:
x=11, y=-9
Step-by-step explanation:
Classify the following triangle
Answer: Right , Scalene
Step-by-step explanation: the picture shows that it is a right triangle. It also has side lengths of 8.66, 7, and 5.1 which are all different making it a scalene triangle.
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
quarters in her pocket. Write an equation to represent the number of dimes
and quarters that Ra'Shaela could have in her pockets
A parking lot has seventy-six parking spaces numbered from 1 to 76. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 31?
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 or 0.5921 .
Given, Jillian parks her car randomly in a parking slot of 76 spaces.
Total number of Parking spots : 76
Number of parking spots above number 31 : 76 - 31 = 45
Probability = Successful events/ Total events
Probability = 45/76
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 .
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Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. (1 point) −x − 10 > 14 + 2x −3x −10 > 14
Answer:
Step-by-step explanation:
Given the inequality −x − 10 > 14 + 2x
This are the steps to solve the expression for x;
−x − 10 > 14 + 2x
Step 1: Add to to both sides
−x − 10+10 > 14 + 2x+10
-x > 24+2x
subtract 2x from both sides
-x-2x >24+2x-2x
-3x>24
Divide both sides by 3;
-3x/-3 < 24/-3
x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
Answer: 109.5
Step-by-step explanation: EACH year for three years would be 1095 if you multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped
Find the Lcm of 9,12 and 24
Answer:
144
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?
Answer:70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
Alex purchased 1 adult ticket and 2 student tickets for a total of $22. Jen purchased
1 adult ticket and 3 student tickets for a total of $28.
Let a = cost of adult ticket
Let s = cost of student ticket
Write the two equations which could be used to solve this problem using
elimination.
Answer:
C. a + 2s = $22
a + 3s = $28
Step-by-step explanation:
a = cost of adult ticket
s = cost of student ticket
✍️Cost of adult tickets purchased by Alex = 1 * a = a
Cost of 2 students tickets purchased by Alex = 2 * s = 2s
Total cost of total ticket purchased by Alex = $22
Therefore, equation for Alex would be:
✅a + 2s = $22
✍️Cost of adult tickets purchased by Jen = 1 * a = a
Cost of 3 students tickets purchased by Alex = 3 * s = 3s
Total cost of total ticket purchased by Alex = $28
Therefore, equation for Jen would be:
✅a + 3s = $28
✍️The answer would be option C:
a + 2s = $22
a + 3s = $28
Is 4/10 closer to 0, 1, 1/2
Answer:
1/2
Step-by-step explanation:
Divide the denominator in half
10/2 = 5
4 is close to 5 so 4/10 is close to 1/2
Answer:
4/10 is closer to 1/2.
Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.
Further explanation:
If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!
Half (1/2) is the answer.
the picture is the answer
Answer:
4. 3
The answer is the last option, all you do is reduce
Step-by-step explanation:
rise over run = rise/run = 6/2
reduce,
6/2
3/1
3x
Is ABC a right angle? Why or why not?
Answer:
3.Yes, because triangle ABC has a 90 degree angle.
4.No, because triangle XYZ doesn’t have a 90 degree angle.
WHat is the answer to this (1−5q)+(2.5q+8)−(0.5q+6)
Answer:
-3q+3
Step-by-step explanation:
Answer:
−3q+3
Step-by-step explanation:
when you subtract 8from 10 what is the different
Answer:
2
Step-by-step explanation:
Difference = 10 - 8 = 2
Hope it helps you in your learning process.
George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?
Answer:
7.5 x 12 = 90 to find out how many boxes
Then take the boxes x 1.3 = 117 pounds
Answer:
Déjà Vu
Step-by-step explanation:
i ve been reading this test before