Y=8x+1
-3x and -3x are both negative slopes
Patrick’s Pizza Parlor is famous for its giant circular pizza, which has an area of 1,519.76 square inches. Approximately what is the diameter of the giant pizza?
Step-by-step explanation:
the diameter of a circle is 2 times the radius.
the area of a circle is
pi × r²
r being the radius.
so,
1519.76 = pi × r²
r² = 1519.76/pi = 483.7546326...
r = 21.99442276... in
diameter = 2r = 43.98884552... in ≈ 44 in
Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 – 16x – 12
Complete question is;
Which of the number(s) below are potential roots of the function? p(x) = x⁴ + 22x² – 16x – 12
A) ±6
B) ±1
C) ±3
D) ±8
Answer:
Options A, B & C: ±6, ±1, ±3
Step-by-step explanation:
We are given the polynomial;
p(x) = x⁴ + 22x² – 16x – 12
Now, the potential roots will be all the rational numbers equivalent of p/q.
Where;
p are the factors of the constant term of the polynomial
q are the factors of the leading coefficient of the polynomial
Now, in the given polynomial, the constant term is seen as -12 while leading coefficient is 1 which is the coefficient of x⁴.
We know that factors of 12 are any of:
±1, ±2, ±3, ±4, ±6 and ±12
While possible factors of 1 is just ±1.
Thus, all the potential roots of the polynomial function are;
±1, ±2, ±3, ±4, ±6 and ±12
From the options given, option A, B & C could be the potential roots.
Answer:
6, 1,3 ACE
Step-by-step explanation:
an apu instructor is interested in the mean number of days an apu statistic students are absent from class during a quarter. the instructor's sample produces a mean number of days absent of 5 days. this value is an example of a:
The value of the mean number of days absent of 5 days produced by the instructor's sample is an example of a statistic.
In statistics, a sample is a subset of a population used to represent the whole group. A statistic is a numerical value that summarizes the characteristics of a sample, such as the mean, median, or standard deviation. The statistic provides information about the sample and is used to make inferences about the population. The mean number of days absent from class during a quarter for all APU statistics students is an example of a population parameter, which is a numerical value that summarizes the characteristics of an entire population. In this case, the sample mean of 5 days can be used to estimate the population mean. The accuracy of this estimation depends on the size and representativeness of the sample.
Learn more about statistic here:
https://brainly.com/question/31538429
#SPJ11
Write an expression that is equivalent to two over three (4x + 9).
Answer:
Eight over three x + 6
Step-by-step explanation:
2/3 * (4x+9)
8x+18/3
8x+18/3 = 8x/3 + 18/3 = 8/3x+6
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
A. x2 − 64; is a polynomial
B. x2 − 16x + 64; is a polynomial
C. x2 − 64; may or may not be a polynomial
D. x2 − 16x + 64; may or may not be a polynomial
Answer:
B
Step-by-step explanation:
(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64
Answer:
x2 − 16x + 64; is a polynomial
Sherry is buying costume jewelry at an online store. Each pair of earrings costs the same amount
and each bracelet costs the same amount. She can purchase 5 pairs of earrings and 6 bracelets
for $49 or she can purchase 7 pairs of earrings and 1 bracelet for $48.25. Either way, she stays
under her $50 budget. What is the price of a pair of earrings? PLS HELP , IF U EXPLAIN I WILL GIVE BRAINLIEST
Answer:
the 7 pairs of earings because you can buy more for just $1 extra that just geeting 1 thing. that is what i think
Crownfashions.com wants to estimate the average time that visitors to its website spend browsing the site. In a random sample of 49 visits this week, average browsing time is 13.6 minutes. Assume you know the population standard deviation is 5.2 minutes. Construct an 80% confidence interval estimate of average browsing time for the population of crownfashion.com visitors this week. Report the margin of error indicated by the interval.
The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:
Confidence Interval = \(\bar{X}\) ± Z \(\times\) (σ/√n)
Where:
\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),
σ is the population standard deviation = 5.2 minutes,
n is the sample size = 49.
Plugging in these values, we can calculate the confidence interval as follows:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)
Simplifying the expression:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)
Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857
Confidence Interval = 13.6 ± 0.951428
The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.
Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.
For similar question on confidence interval.
https://brainly.com/question/16974109
#SPJ8
Euler's formula, V − E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. Solve Euler's formula for V.
1. V = 2 − E − F
2. V = 2 + E − F
3. V = −2 + E − F
4. V = −2 − E − F
The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2
What is subject of formula?The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.
In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.
From the information given, we have that;
V − E + F = 2
To make the variable, V, the subject, take the steps
collect the variable E
V + F = 2 + E
Now, collect the F variable
V = 2 + E - F
Learn about subject of formula at: https://brainly.com/question/10643782
#SPJ1
PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
V = √3 3-x² S -√√3-√3-x²1 4-x²-y² dzdydx
The value of the given integral is: v = [(4√(3) - 5)π/3]
To evaluate the given integral, let's calculate it step by step:
First, let's integrate with respect to z from 1 to √(4 - x² - y²):
∫[1, √(4 - x² - y²)] dz = √(4 - x² - y²) - 1
Next, let's integrate the above expression with respect to y from -√(3 - x²) to √(3 - x²):
∫[-√(3 - x²), √(3 - x²)] (√(4 - x² - y²) - 1) dy
To simplify the integration, let's convert to polar coordinates:
x = r cosθ
y = r sinθ
The bounds of integration in polar coordinates will be:
r: 0 to √(3)
θ: 0 to 2π
Now, we can rewrite the integral in terms of polar coordinates:
∫[0, 2π] ∫[0, √(3)] (√(4 - r²) - 1) r dr dθ
Evaluating the inner integral with respect to r:
∫[0, 2π] [(-1/3) (4 - r²)\(^{3/2}\) - (1/2) r²] | [0, √(3)] dθ
∫[0, 2π] [(2√(3)/3) - (1/3)(4 - 3)\(^{3/2}\) - (1/2)(√(3))²] dθ
Simplifying further:
∫[0, 2π] [(2√(3)/3) - (1/3) - (3/2)] dθ
∫[0, 2π] [(2√(3)/3) - (5/6)] dθ
Now, integrating with respect to θ:
[(2√(3)/3)θ - (5/6)θ] | [0, 2π]
[(2√(3)/3)(2π) - (5/6)(2π)] - [(2√(3)/3)(0) - (5/6)(0)]
[(4√(3)/3)π - (5/3)π] = [(4√(3) - 5)π/3]
Therefore, the value of the given integral is: v = [(4√(3) - 5)π/3]
Complete Question:
Evaluate the integral:
v = ∫∫∫ [−√3, √3] [−√(3−x²), √(3−x²)] [1, √(4−x²−y²)] dz dy dx
To know more about integral, refer here:
https://brainly.com/question/31059545
#SPJ4
Which model and statement describes the solution that results from
solving for the value of x that makes the equation true?
Follow the steps to find the common denominators for 2/3 and 1/5
Answer:
15
Step-by-step explanation:
To find the common denominators for 2/3 and 1/5, just look at the denominators for both of the fractions, 3 and 5
Multiply 3 and 5, which is 15. 15 is the common denominator.
Giving brainliest to the most accurate
A cyclist leaves New York traveling at an average speed of 9 miles per hour. 4 hours later, a car leaves Bay Shore, on the same route, traveling at an average speed of 21 miles per hour. How many hours after the car leaves New York will the car catch up to the cyclist? *
The car will catch up with cyclist in 3 hours
What is time ?Time refers to the interval in seconds , minutes or hours it took for an event to take place
How to calculate How many hours it will take the car to catch up with cyclistInformation given for the question include
A cyclist has average speed of 9 miles per hour
A car leaves has average speed of 21 miles per hour
following same route when
The question is asking at what time will the distance be equal if the cyclists have advantage of 4 hours already
Calculation of distance covered by the cyclist
average speed = distance / time
distance = 9 mph * (x + 4)
Calculation of distance covered by the car
average speed = distance / time
distance = 21 mph * x
equating both gives
9 mph * (x + 4) = 21 mph * x
9x + 36 = 21x
36 = 21x - 9x
12x = 36
x = 3
hence the car will meet the cyclist in 3 hours
Learn more on distance covered : https://brainly.com/question/4931057
#SPJ1
Try Again
Fill in the blank to make the two fractions equivalent.
3/8= ?/32
Answer:
12Step-by-step explanation:
3 = x
8 32
8 (x) = 32 (3)
x = 32 (3)
8
x = 12
Answer:
12/32
Step-by-step explanation:
Fabio rode his scooter 2,3 miles to his friend's
house, then 0.7 mile to the grocery store,
then 2.1 miles to the library. If he rode the
Some route back home, about how far
did be travel in all
Fabio rode about 10.2 miles in all.
Distance is a scalar number that describes "how much ground an object has covered" while moving.The distance to Fabio's friend's house is 2.3 miles.The distance from his friend's house to the grocery store is 0.7 miles.The distance from the grocery store to the library is 2.1 miles.The distance travelled by Fabio in one direction is (2.3 + 0.7 + 2.1) miles.The distance travelled by Fabio in one direction is 5.1 miles.Fabio follows the same route back.The total distance travelled by Fabio in all is (2*5.1) miles.The total distance travelled by Fabio in all is 10.2 miles.Thus, Fabio rode about 10.2 miles in all.To learn more about distance, visit :
https://brainly.com/question/15172156
#SPJ9
Help help please please help help I need help 30 POINTS
There are 62 students in a PE class. They need to be put into teams of 9. How many full teams can be made?
6 full teams will be made.
If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.
click on ,begin emphasis,all,end emphasis, the questions that are statistical questions.answer options with 6 optionsa.how many books are on the shelf?b.how many microphones are on the stage?c.what is the total number of tomatoes on each plant?d.what is the distance from each classroom to the office?e.what is the average temperature at 10:00 a.m. in each city?f.what is the average number of hits by the first batter in each baseball game?
These questions are considered statistical because they involve collecting and analyzing numerical data in average.
The statistical questions among the options are:
e. What is the average temperature at 10:00 a.m. in each city?
f. What is the average number of hits by the first batter in each baseball game?
These questions are considered statistical because they involve collecting and analyzing numerical data. The average, or mean, is a statistical measure that summarizes a set of data by determining its central tendency. Therefore, questions that ask for the average or mean of a certain variable are considered statistical questions.
Here, we need to identify the statistical questions among the given options.
Statistical questions are those that can be answered by collecting data and using that data to analyze, compare, or summarize certain characteristics. Average are commonly used in statistical analysis.
From the options given, these are the statistical questions:
e. What is the average temperature at 10:00 a.m. in each city?
f. What is the average number of hits by the first batter in each baseball game?
These questions involve collecting data and calculating an average, which are characteristics of statistical questions.
Learn more about average here:
https://brainly.com/question/24057012
#SPJ11
Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To know more about Element related question visit:
https://brainly.com/question/13266399
#SPJ11
Can someone please help me?
1. ask yourself whats half of 22
2. divide that half by the blue
3. if that doesn't help ask your teacher
show that if x=1-2y/3y+5, then 3xy+2y=1-5x
The equation x=1-2y/3y+5, can be expressed as 3xy+2y=1-5x below:
How can the expression be shown?The concept that will be used in the expression is simplification and expansion.
Given x=1-2y/3y+5
then we can cross multiply as
x(3y+5) = 1-2y
Then we can expand the equation as
3xy + 5x = 1-2y
then we can rearrange the equation as:
3xy+2y=1-5x
Therefore, the fact that x=1-2y/3y+5, can be simplified to 3xy+2y=1-5x has been shown.
Learn more about equation at:
https://brainly.com/question/2972832
#SPJ1
So basically online school + me = procrastination .
2°y? – 52ºy23
Select the correct response
Degree = 6
Number of terms = 2
Name = Binomial
Leading Coefficient = 5
21
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = -5
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = 5
Answer:
degree of the polynomial = 7
Number of terms = 2
Name = binomial
leading coefficient = 5
Step-by-step explanation:
The polynomial is x³y² - 5x³yz³
The degree of a polynomial is the highest exponent of any of its variables.
But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.
Thus;
x³y² has a degree of 3 + 2 = 5
5x³yz³ has a degree of 3 + 1 + 3 = 7
Thus,7 is the highest and the degree of the polynomial is 7.
There are two terms which are x³y² and 5x³yz³
Since it has two terms, it is a binomial.
To get the coefficient, I will rearrange in descending order of degree;
-5x³yz³ + x³y²
Thus, leading coefficient = 5
The data for this problem is shown below:
AA = 46
BB = 22
cc = 34∘∘
Find the answers below:
NOTE: Enter numerical values only!
Graded as: Correct answers are within 5% of solutions
Length of side CC = Answer
Angle of a∘a∘ = Answer
Angle of b∘b∘ = Answer
Sum of all the Angle of the triangle a∘+b∘+c∘a∘+b∘+c∘ = Answer
On evaluating the given data, sum of all the angles of the traingle is equal to 102°. While angle of a is 46° and b is 22°
Given the values provided, we can determine the answers as follows:
To find the length of side CC, we need additional information about the triangle. Please provide the lengths of two sides or the necessary angles to calculate it.
Angle of a: a∘ = AA = 46
Angle of b: b∘ = BB = 22
Sum of all the angles of the triangle: a∘ + b∘ + c∘ = 46 + 22 + 34 = 102°
Read more on Triangles: https://brainly.com/question/29789999
#SPJ11
50 points
How much longer is the longest wingspan than the shortest wingspan
that Pam recorded? *
On a school trip to the city museum, the students were asked to record the lengths of
wingspans of different species of butterflies. The line plot shows the wingspans of five
species, in inches, that Pam recorded in her notebook.
х
AXX
х
+
2
3
4
4
Wingspan (in inches)
AINEX
x mis
0
1
4/4 inch
3/4 inch
2/4 inch
1/4 inch
Answer:
\(\frac{2}{4} inch\)
Step-by-step explanation:
Step 1
List the length of the wingspan of the five butterflies
\(\frac{1}{4}, \frac{1}{4}, 1, \frac{2}{4}, \frac{3}{4} \)
Step 2:
The two butterflies with the shortest wingspan has a wing length of \(\frac{1}{4} \) inches each.
Step 3:
Total length of the wingspan of the two butterflies with the shortest wingspan
= \(=\frac{1}{4} +\frac{1}{4} \\ = \frac{2}{4} \)
Final answer:
= \(\frac{2}{4} inch\)
Carpenters refer to the slope of a roof as the pitch of the roof. Find the pitch of the roof.
Answer:
1/3
Step-by-step explanation:
The pitch is the ratio of rise (4 ft) to run (12 ft). The pitch is ...
pitch = (4 ft)/(12 ft) = 1/3
Answer:
fax
Step-by-step explanation:
Find the answer (5x) + (4x) + (6y)
Answer:
9 x + 6 y
Step-by-step explanation:
A homeowner bought a dryer from a discount appliance store for $698.27 and makes 12 monthly payments of $63.29 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$713.27
$809.48
$900.73
$914.48
If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.
To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.
The total cost of the dryer can be calculated as follows:
Cost of dryer = $698.27
Total credit card charges = 12 x $1.25 = $15
Total late fees = 4 x $35 = $140
Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees
= $698.27 + $15 + $140
= $809.27
Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.
So, correct option is A.
To learn more about cost click on,
https://brainly.com/question/31471609
#SPJ1
Find the range of the function rule y=5x−2 for the domain.{−12, 14, 25}
Answer:
hmmm really interested but hard to get
and not easy
Answer:
{− 4 1/2, −3/4, 0}
Step-by-step explanation: