The values of a and b are 3 and 4, respectively. Therefore, we can factor y² + 7y + 12 as (y + 3)(y + 4).
What is meant by values?
Values refer to the numeric or algebraic quantities assigned to variables, expressions, or functions. Values can be constants, variables, or expressions that can be evaluated to obtain a numerical result.
What is meant by factor?
A factor refers to a number or expression that is multiplied by another number or expression to obtain a product. Factors can be either integers or polynomials.
According to the given information
To factor y² + 7y + z, we need to find two integers whose sum is 7 and whose product is z. Let's use the factorization method to do this.
We can write the quadratic as y² + 7y + z = (y + a)(y + b), where a and b are the two integers we need to find.
Expanding the right side, we get:
y² + (a + b)y + ab
Comparing the coefficients of the two sides, we get:
a + b = 7
ab = z
To find the values of a and b, we can start by listing all the factors of z. Once we have a list of factors, we can look for a pair whose sum is 7. If we find such a pair, we have found the values of a and b.
For example, if z = 12, the factors of 12 are 1, 2, 3, 4, 6, and 12. We can check all the pairs of factors to see if any of them add up to 7:
1 + 12 = 13
2 + 6 = 8
3 + 4 = 7
So, the values of a and b are 3 and 4, respectively. Therefore, we can factor y² + 7y + 12 as (y + 3)(y + 4).
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given that
(the question is 21) pleaseee answer fast!! it’s due super sooooonnnnnnn
Answer:
B
Step-by-step explanation:
Bc if u search it u p
What is the median?
the median is the middle number in a sorted, ascending or descending, list of numbers, i like to think of it as "middle"
Regroup the integers
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
It costs $10 to go to Pete's Pottery Place to paint custom bowls at a cost of $3.50 per bowl. Janelle plans to paint bowls 5 days this month and then paint b bowls on each day so she can sell them at a craft fair. Which equation represents Janelle's total cost c for the month? *
Answer:67.5
Step-by-step explanation:
Because 10 dollars a day then 5 days so 10x5=50 3.50 for bowl so 5 bowls would be 17.5 therefor 50+17.5=67.5 and that's your answer.
Write eleven thousand, two hundred
twelve using base-ten numerals. Then
write the number in expanded form.
Answer:
Heyy, you'd have too answer this in using base numerals. Which would just be 11 thousand blocks( you would use thousand place blocks to be specific) . Then 2 " 100 " blocks. And 12 ones blocks n theirs ur answer! Hopefully I helped you out. Have an amazing day
Step-by-step explanation:
Answer: 11,212
Step-by-step explanation:
base-ten numerals: 11,000 + 200 + 12+ = 11,212
number in expanded form: 11,212 =
+ 10,000
+ 1,000
+ 200
+ 10
+ 2
George measured the weight of a random sample of 49 cartons of apples. The mean weight was 45.5 pounds, with a standard deviation of 3. z equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator sigma over denominator square root of n end fraction end style end fraction To see if the cartons have a significantly different mean weight from 46 pounds, what would the value of the z-test statistic be
Answer:
1.16667
Step-by-step explanation:
When told in the question that random number of sample is tested
z test statistic formula = x - x bar(x with bar above it) /Standard error
From the question
x = raw score = 46 pounds
x bar (x with bar above it)= sample mean = 45.5 pounds
Standard Error = σ/√n
Standard deviation = σ = 3
n = random number of samples = 49
z = 46 - 45.5/3/√49
z = 0.5/ 3/7
z =0.5/ 0.4285714286
z = 1.16667
Therefore , the value of the z test statistic = 1.16667
Answer:
1.17
Step-by-step explanation:
Calculate
5
∫ ||x||dx where ||x|| denotes the floor of x (the greatest integer ≤ x).
0
The integral of the greatest integer function ∫ [x]dx is equivalent to 0.
Given is to integrate the greatest integer function. We can write it as -
∫ [x]dx
We can expand the the integral as -
∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\), where b = - ∞ and c = ∞
∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\) =
- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + ..... + ∞
{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } + {- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1)}
{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}
{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}
{- 1/12 - (- 1/12)} {Ramanujan's infinite sum series}
-1/12 + 1/12
0
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Determine the values of x in the equation x2 = 64.
.A national survey of companies included a question that asked whether the company
had at least one bilingual telephone operator. The sample results of 90 companies follow (Y
denotes that the company does have at least one bilingual operator; N denotes that it does
not).
Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.
Answer:
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
90 companies. 30 have at least one billingual operator.
This means that \(n = 90, \pi = \frac{30}{90} = 0.3333\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307\)
The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).
I need help please anyone ?!!!!?
Answer:
b
Step-by-step explanation:
3 + 3 = 6 lol
6 how many apples
10. The local YMCA charges a $79 membership fee and
$42.50 per month. Allison has a coupon that will allow
her to join the club for $298 for 6 months. How much
will Allison save if she uses the coupon?
Answer:
$79
Step-by-step explanation:
What are the next two terms in the sequence 1, 8, 27, 64..., written as coordinate pairs (n,
an)?
A) (5, 75), (6,86)
B) (5, 81), (6,100)
C)(5, 125), (6, 216)
D) (125, 5), (216, 6)
Answer:
C)(5, 125), (6, 216)
Step-by-step explanation:
Well firstly, there's no actual way to know. There could be anything there, as for any n pairs (x, y) with distinct x-s, there exists a (n-1 or less)-degree polynomial that models them perfectly, and infinitely many polynomials of degree n (or more).
If we input those terms to a polynomial interpolator, we'll get an answer every time.
With this one, it will be the right answer though!
But to be serious, let's find out what the numbers are. We can notice they're all cubic numbers.
There's 1, which is 1^3, then theres 2^3, then it's 3^3, then 4^3.
It's reasonable to expect that we are expected to assume (x, x^3) is the rule.
We can see that the answer C (5, 5^3), (6, 6^3) fits this narrative.
If a rock falls from a height of 43 meters on Earth, the height H (in meters) after x seconds is approximately Upper H (x )equals 43 minus 4.9 x squared . (a) What is the height of the rock when xequals1.6 seconds? The height of the rock when xequals1.6 seconds is nothing meters.
Answer:
2.96 seconds
Step-by-step explanation:
Let H(x) = zero and solve for "x".
43 - 4.9x² = 0
4.9x²=43
x²=8.77
x=2.96
therefore, approximately when x=2.96seconds, the rock strike the ground.
What is the value of x?
to
The measure of the angle x is 30 degree if the triangle is an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle in which a triangle is formed.
Here is the length of the triangle is same, means it is an equilateral triangle.
Each angle in equilateral triangle = 60 degree
The radius and the one tangent, making an angle of 90 degree
Taking bigger triangle:
Total sum of angles in triangle = 180 degree
x = 180 – 90 -60
x = 30 degree
Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.
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958499596858+9538468648545
Answer:
1.0496968e+13
Step-by-step explanation:
Answer:
bro how are u do u remeber me
Step-by-step explanation:
A Zookeeper has 8 frogs. Each frog eats cups of food 3/4. How much food does the zookeeper need in total?
Answer:
6 cups
Step-by-step explanation:
8 x 3/4 = 6 I used a calculator
You borrow $10,000 from the bank to start a small business. The interest rate is 5.25% and you borrow the money for 5 years. How much INTEREST you will pay on this loan?
Answer:
$2,625 ( i think )
If im right add me on snap pls
idk_marqo
Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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What is the slope of the line?answer
Answer:
Step-by-step explanation:3/-1
Explain why it is necessary to know the dimensions of two matrices before attempting to add or multiply them ?
the Why it is necessary to know the dimensions of two matrices before attempting to add or multiply them
\(\begin{gathered} (2\text{ 4)} \\ (3\text{ 5)} \\ \text{example of a 2 x 2 matrices } \\ (3\text{ 8)} \\ (2\text{ 4)} \\ (2\text{ 0) } \\ \text{example of a 2 x 3 matrices} \end{gathered}\)This row and column of the matrix must have the same number of entries, otherwise, the set of matrices is not finite for addition or multiplication. Only matrices having the same number of rows and columns can be added or multiplied.
example of addition matrices
\(\begin{gathered} (2\text{ 3) + (4 7) }=\text{ (6 10)} \\ (3\text{ 5) (5 4) (8 9) } \\ \end{gathered}\)A person has a 30 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the fifth ticket
a. (5/1 ) (0.30)3 (0.70).
b. (5/4 ) (0.70)3 (0.30).
c. (0.70)^4 (0.30).
d. (0.30)^3 (0.70).
e. 0.30.
Answer: (c)
Step-by-step explanation:
Given
A person has a 30% chance of winning a lottery ticket.
Probability of not getting the lottery ticket is 70%
For person to win at fifth ticket, it must fail in first four
So, the probability associated with it is
\(\Rightarrow P=(0.70)\times (0.70)\times (0.70)\times (0.70)\times (0.30)\\\\\Rightarrow P=(0.70)^4\cdot (0.3)\)
Hence, option (c) is correct.
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
HELP! :,) pleaseeeee
Answer:
1)a=8,b=6,c=4
2)a=4,b=9,c=14
3)a=12,b=12,c=24
What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?
Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer
How to write a compound inequality in another way?
An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Given: y + 3 ≥ 2 and y + 3 < 6
To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:
y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:
2 ≤ y+3 and y + 3 < 6
Combine the two:
2 ≤ y+3 < 6
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Need help finding 2 more points on the line for question # 12(3,8) and (-4,8)Slope= 0I already know the slope I only need help solving for 2 more points on the line
Given two points on the line:
(3, 8) and (-4, 8), then the slope is:
m = (8 - 8)/(3 - (-4)) = 0
So, we have a horizontal line, and its equation is given by:
y = 8.
Then, any two points on the xyplane having y-coordinate = 8 are on the line. For instante:
(0, 8) and (1, 8) are two more points on the line.
Things did not go quite as planned. You invested $21360, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $, how much was invested at each rate? How much money was invested at 12% annual interest?
Answer:
1992
Step-by-step explanation:
Let x be the amount invested at 12%.
Then the rest amount is (21360-x) dollars.
The 12% stock earning is 0.12x dollars.
The rest amount loss is 0.05*(21360-x) dollars.
Your equation is
interest - loss = total interest, or
0.12x - 0.05*(21360-x) = 1992 dollars.
Simplify and solve for x.
a restaurant uses square tables with sides of length 1.3m, and round tablecloths with diameter 2m. Determine the percentage of each tablecloth which overhangs its table.
Answer:
46.21%
Step-by-step explanation:
The area of the table top is 1.3 x 1.3 = 1.69 m²
The area of the circular tablecloth is given by πr² where r is the radius of the table cloth
Give diameter of tablecloth is 2m, radius r = 2/2 = 1 m
Area of tablecloth = π · 1² = π
So the excess area of the tablecloth which overhangs
= π - 1.69 = 1.45 m² (taking π = 3.14)
So the fraction of the tablecloth that overhangs
= Excess area of tablecloth ÷ total area of tablecloth
= 1.45 /π
= 0.4621
As a percentage this would be
0.4621 x 100
= 46.21%