Reason:
Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.
Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.
Example: y = x^3 does not have an absolute max, but y = -x^2 does.
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
show work.
Answer:
\(5\sqrt{5}\)
Step-by-step explanation:
1. \(5^2 +10 ^2 = c^2\)
2. \(c^2 = 125\)
3. \(c = 5\sqrt{5}\)
Answer:
approximately 11.18 inches or \(5\sqrt{5\) inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or \(5\sqrt{5\) inches.
A company rents out 18 food booths and 22 game booths at the county fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $80 plus $9 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
(100+5d) + (80+9d)
14d+180
Step-by-step explanation:
I hate doing word problems.
I'm sorry if this was not the answer your looking for.
fully Factorise 7m^2 + 13m
Answer:
\(m(7m + 13)\)
Step-by-step explanation:
\(7m {}^{2} + 13m \\ m(7m + 13)\)
9 of 109 of 10 items question a student prepares for a five-mile run so she eats a nutritious meal three hours before the run. which correctly illustrates the transformation of energy from eating the meal to the five-mile run?
The transformation of energy from eating the nutritious meal to the five-mile run involves the conversion of the nutrients from the meal into usable energy in the body. This energy is then converted into the kinetic energy necessary to move the student's body while running. The energy produced from the meal is broken down and used to fuel the muscles and other body systems necessary for the run.
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PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answer: I believe it's 6 5/8
Step-by-step explanation:
Drag and drop to match the term with its description.1. Comprehensive insurance2. Premium3. Liability insurance4. Collision insurance
The term with its description is: 1- comprehensive insurance -(2), 2. Premium - 4, 3. Liability insurance -3 -4. Collision insurance-1.
What is liability insurance?
Liability insurance is a type of insurance coverage that protects individuals and businesses from financial losses resulting from claims or lawsuits filed against them for alleged negligence or wrongdoing. It provides coverage for legal expenses, settlement costs, and judgments that may arise if the insured party is found legally responsible for causing bodily injury, property damage, or other harm to a third party.
Premium: The premium refers to the amount of money an individual or business pays to an insurance company in exchange for insurance coverage. It is typically paid on a regular basis, such as monthly, quarterly, or annually.
Collision Insurance: Collision insurance is a type of auto insurance coverage that helps pay for repairs or replacement of a vehicle if it is damaged in a collision, regardless of who is at fault. It covers the costs of repairing or replacing the insured vehicle up to its actual cash value, minus the deductible.
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the complete question is:
Drag and drop to match the term with its description.1. Comprehensive insurance2. Premium3. Liability insurance4. Collision insurance
1-Covers the cost of your car's collision damage.
2-Covers damage caused by fire, theft, vandalism, and weather
3. Protects you against harm to other people's bodies and possessions.
4- The insurance premiums you pay
The estimated population of a certain city over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential. 27909 23672
Number of Years Since Last Census, x
1
2
3
4
Estimated Population, f(x)
27909
23672
19401
15151
Box 1: Linear or Exponential?
Box 2: Additively or Multiplicatively?
Box3: Common difference or common ratio
Box4: Answer to box 3
Answer:
A linear function would better model the data because as x increases, the y values change additively, The common difference of the function is approximately 4253
Step-by-step explanation:
A linear function would better model the data because as x increases, the y values change additively,
(e.g, x from 1 to 2, so, y from 27909 to 23672
The difference is 27909 - 23672 = 4237
from 2 to 3, 23672 to 19401 with difference 23672 - 19401 = 4271
from 3 to 4, 19401 to 15151 with difference 19401 - 15151 = 4250)
The common difference of this is approximately, we use average of all the differences we have found above, so,
Average difference = (4237 + 4271 + 4250)/3 = 4253
The approximate common difference is 4253
Researchers conducted a study to find out if there is a difference in the use of ereaders by different age groups. randomly selected participants were divided into two age groupsin the to 29year-old group7% of the 628 surveyed use ereaders, while 11of the 2,309 participants 30 years old and older use ereaders(use subscripts let 1 16- to 29-year-old users , and 230 years old and
No, there is significant difference in the use of e readers by different age groups.
Given sample 1 ( 29 years old) \(n_{1}\)=628, \(p_{1}\)=7%, sample 2( 30 years old)\(n_{2}\)=2309, \(p_{2}\)=0.11.
We have to first form hypothesis one null hypothesis and other alternate hypothesis.
\(H_{0}:\)π1-π2=0
\(H_{1}:\)π1-π2≠0
α=0.05
Difference between proportions \(p_{1}-p_{2} =-0.04\)
\(p_{d}=0.07-0.11=-0.04\)
The pooled proportion needed to calculate standard error is:
\(p=(X_{1} -X_{2} )/(n_{1} +n_{2} )\)
=(44+254)/(628+2309)
=0.10146
The estimated standard error of difference between means is computed using the formula:
\(S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2} }\)
=\(\sqrt{0.101*0.899/628+0.101*0.899/2309}\)
=\(\sqrt{0.000143+0.00003}\)
=\(\sqrt{0.000173}\)
=0.01315
Z= Pd-(π1-π2)/\(S_{p_{1} -p_{2} }\)
=-0.04-0/0.013
=-3.0769
This test is a two tailed test so the p value for this test is calculated as (using z table)
p value:2 P(Z<-3.0769)
=2*0.002092
=0.004189
P value< significance level of 5%.
Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.
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Question is incomplete as it also includes:
Significance level of 5%.
plz hurryA 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction. A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table. A = B =
Answer:
The complete table is shown below.
Step-by-step explanation:
The data provided is:
Number Rolled Observed Frequency Relative frequency
1 10 \(\frac{10}{60}=\frac{1}{6}\)
2 12 \(\frac{12}{60}=\frac{1}{5}\)
3 10 \(\frac{10}{60}=\frac{1}{6}\)
4 10 \(\frac{10}{60}=\frac{1}{6}\)
5 8 \(\frac{8}{60}=\frac{2}{15}\)
6 10 \(\frac{10}{60}=\frac{1}{6}\)
TOTAL 60 1
The complete table is shown above.
Answer:
A= 1/5
B.2/15
Step-by-step explanation:
trust me i got it right on edg
In organizations that you have worked in or are familiar with, what are the main benefits you would expect these organization would achieve by establishing a PMO
Establishing a Project Management Office (PMO) in an organization can bring several benefits, including improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates.
A PMO serves as a central hub for project management activities within an organization, providing oversight, guidance, and support to project teams. By establishing a PMO, organizations can achieve improved project governance. The PMO helps define and enforce project management standards, methodologies, and best practices, ensuring consistency and alignment across projects. This leads to better project planning, monitoring, and control, resulting in increased project success rates.
Furthermore, a PMO facilitates enhanced communication and collaboration among project stakeholders. It serves as a focal point for project-related information, fostering transparent communication, and promoting collaboration between project teams, sponsors, and executives. This improves decision-making, reduces conflicts, and increases overall project visibility.
Standardization of processes is another significant benefit of establishing a PMO. The PMO develops and implements standardized project management templates, tools, and techniques. This promotes efficiency, reduces duplication of efforts, and streamlines project execution. Standardized processes enable better resource allocation and optimization, ensuring that resources are allocated effectively based on project priorities and organizational goals.
In summary, the main benefits of establishing a PMO include improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates. These benefits contribute to higher project efficiency, better decision-making, and overall organizational success.
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question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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Julie went to the 10%
off store and bought 3
candy bars for $1.30 each,
a loaf of bread for $2.90,
and 2 cases of Dr Pepper
for $6.50 each. How
much will she save with
the 10% discount?
Answer: $17.82
Step-by-step explanation: Add each item up to get $19.80. Then you take 10% of that by multiplying it 0.9 to get 17.82. You multiply it by 0.9 because that is 90% of 19.80 which is a 10% decrease.
Calculate the slope of a line that passes through the points (6, -12) and (15, -3).
A.0
B.1
C.53
D.9
Answer:
B. 1
Step-by-step explanation:
The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.
Here, we have (6, -12) and (15, -3).
The difference in the y-coordinates is:
15 - 6 = 9
The difference in the x-coordinates is:
-3 - (-12) = -3 + 12 = 9
Divide 9 by 9:
9/9 = 1
The slope is thus 1, and the answer is B.
Pls help me with this ASAP!!!
Answer:
B. 7
Step-by-step explanation:
heart shaped straws have 3 for orange and 4 for grape.
3+4 =7
in school curriculums, mathematical variables first appear in the seventh grade. why aren't they introduced in the fourth or fifth grade?
qs 14-18 determining components of costs of goods manufactured
Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.
Direct Materials: It includes the cost of raw materials used in manufacturing a product.
Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.
Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process
Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.
To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.
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Brooklyns mother gave her an allowance at the beginning of a certain summer break. Brooklyn spent an equal amount of money each week from the allowance. The line graph shows her allowance over 4 weeks. How much did brooklyn spend on her allowance each week
Pls help!! Iv'e been struggling for a while!
Answer: wait how much was her allowance
Step-by-step explanation:
I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?
Answer:
4 hours
Step-by-step explanation:
16/4= 4
a researcher is performing an analysis on a 2x2x4 research design. how many independent variables are there in the design?
In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.
The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.
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Which triangles are similar?
OA. Triangles B and C
OB. Triangles A, B, and C
C. Triangles A and C
OD. Triangles A and B
Answer:
C. Triangles A and C.
Step-by-step explanation:
In triangles A and C, the ratios of corresponding sides are equal, and the corresponding angles are congruent.
Let R be the region in the fourth quadrant enclosed by the x-axisand the curve Y = X^2 - 2KX, where k > 0. if the area of the region R is 36, thenthe value of k is
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9
We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.
Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:
0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K
So the limits of integration are from X = 0 to X = 2K.
Now we can set up the integral for finding the area of the region R:
∫[0,2K] (X^2 - 2KX) dX
Integrating this expression gives:
[(1/3)X^3 - KX^2] evaluated at 0 and 2K
Plugging in the limits of integration and simplifying, we get:
(8/3)K^3 - 4K^3
Simplifying this expression, we get:
(2/3)K^3 = 36
Solving for K, we get:
K^3 = 54
Taking the cube root of both sides, we get:
K = 3
Therefore, the answer is (B) 3.
To find the value of k, follow these steps:
1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.
2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.
3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K
4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)
5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08
The closest value from the given options is (A) 2.
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Write an equation in slope-intercept form of the line that passes through the points (-2,10) and (5. – 11).
Answer:
y=-3x+4
Step-by-step explanation:
I just use desmos to graph it and find the line of fit.
What is the simplest form of (x^2+5x-6) / (x^2+9x+18)?
a) (x+2) / (x+6)
b) 1/3
c) (x-1) / (x+3)
d) -1/3
Answer:
a. \(\frac{x+2}{x+6}\)
Step-by-step explanation:
\(\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}\)
The quadratic equation 3x2-x+ k = kx-1, where k is a constant, has two distinct roots. Find the range of values of k.
please help me with this question..thank you
Answer:
k < -1 or k > 11
Step-by-step explanation:
Given quadratic equation:
\(3x^2-x+ k = kx-1\)
First, rearrange the given quadratic equation in standard form ax² + bx + c = 0:
\(\begin{aligned}3x^2-x+ k &= kx-1\\3x^2-x+ k-kx+1&=0-kx+1\\3x^2-x-kx+ k+1&=0\\3x^2-(1+k)x+ (k+1)&=0\end{aligned}\)
\(3x^2-(1+k)x+ (k+1)=0\)
Comparing this with the standard form, the coefficients a, b and c are:
a = 3b = -(1 + k) = (-1 - k)c = (k + 1)\(\boxed{\begin{minipage}{7 cm}\underline{Discriminant}\\\\$\boxed{b^2-4ac}$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real roots.\\when $b^2-4ac=0 \implies$ one real root.\\when $b^2-4ac < 0 \implies$ no real roots.\\\end{minipage}}\)
If the quadratic equation has two distinct roots, its discriminant is positive.
\(b^2-4ac > 0\)
Substitute the values of a, b and c into the discriminant:
\((-1 - k)^2-4(3)(k+1) > 0\)
Simplify:
\((-1 - k)(-1-k)-12(k+1) > 0\)
\(1+2k+k^2-12k-12 > 0\)
\(k^2+2k-12k+1-12 > 0\)
\(k^2-10k-11 > 0\)
Factor the left side of the inequality:
\(k^2+k-11k-11 > 0\)
\(k(k+1)-11(k+1) > 0\)
\((k-11)(k-1) > 0\)
If we graph the quadratic k² - 10k - 11, it is a parabola that opens upwards (since its leading coefficient is positive), and crosses the x-axis at k = -1 and k = 11. Therefore, the curve will be positive (above the x-axis) either side of the x-intercepts, so when k < -1 or k > 11.
Therefore, the range of values of k for which the given quadratic equation has two distinct roots is:
\(\boxed{k < -1 \; \textsf{or} \;k > 11}\)
What is the missing number in the pattern below?1, 4, 2, ______, 3
225,165 people visited Korina's website on Saturday. On Sunday, the number of visitors decreased by 1,000. How many people visited Korina's website on Sunday?
As the number of people visiting each day is the same 404 people visited on Sunday.
We have,
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.
As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,
= (1212/3).
= 404.
So, On Sunday 404 visitors were there.
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complete question:
The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday
Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
which of these is the best example of the product of powers law 
The best example of the product of powers law is when multiplying two powers with the same base.
The product of powers law, states that when two powers have the same base, their product is the base raised to the sum of the exponents.
Mathematically, this can be expressed as:\(an^{m}*an^{n}=an^{(m+n)}\)
Where a is the base and m and n are the exponents.
For example, \(3^{4}*3^{2}\)can be simplified using the product of powers law to be \(3^{(4+2)}=3^{6}\)
Therefore, the best example of the product of powers law is when multiplying two powers with the same base.
The product of powers law is one of the laws of exponents.
The law states that if two powers have the same base, we can multiply the powers and keep the base.
In other words, we add the exponents.
This means that if we have the product of powers with the same base, we can easily simplify it by adding the exponents.
If there is no common base, we cannot use this law and must instead use other exponent laws.
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A cubical house can hold 4096m of air .find the height of the house
Answer:
16 m
Step-by-step explanation:
V = \(s^{3}\)
4096 = \(s^{3}\)
cube root of 4096 = 16
Find the inverse of y = - 1/2x - 5
9514 1404 393
Answer:
f^-1(x) = -2(x +5)
Step-by-step explanation:
Solve for x.
y +5 = -1/2x . . . . . add 5
-2(y +5) = x . . . . . multiply by -2
If you want this in "functional form", you can write it as ...
f^-1(x) = -2(x +5) . . . . . swap x and y, then use f^-1(x) for y