The measure of the marked central angle for the given circle is 160°.
Given a part of a circle.
This part is 4/9 of the full circle.
We have to find the marked central angle.
We know that,
Total circle can be represented as,
Total circle = 360°
Since the given figure is 4/9 part of the total circle, the marked central angle will be 4/9 of the total central angle.
Marked central angle = 4/9 × 360
= 160°
Hence the marked central angle is 160°.
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A textbook company sells teacher editions and student editions in package deals. Each package includes 3 teacher editions for every 65 student editions. Which combination could a school order?
A. 9 teacher to 260 student editions
B. 12 teacher to 325 student editions
C. 12 teacher to 260 student editions
Answer:
C
Step-by-step explanation:
Divide each of the student edition numbers by 65. This is because we are trying to determine how many packages will have 65 student editions in them.
Then see if the number of student edition packages is divisible to the teacher editions.
That's it!
Determine what value(s) for the variable would make each algebraic
equation a true number sentence.
�2 = 81 is true for ____________________.
6� = 3� + 2� + � is true for ____________________.
� + 74 = � − 74 is true for ____________________.
Answer:
k calculate it how u see it
Given f(x) = 4x + 2, find f(x + 3).
O f(x + 3) = x + 5
O f(x + 3) = 4x2 + 14x + 6
O f(x + 3) = 4x + 14
O f(x + 3) = 4x + 5
Answer:
f(x+3) = 4x + 14
Step-by-step explanation:
f(x+3) = 4(x+3) + 2
f(x+3) = 4x + 12 + 2
f(x+3) = 4x + 14
hope this helps!
Answer:
f(x)=4x+2
f(x+3) means substitute x as (x+3)
f(x+3)=4(x+3) +2
= 4x + 12 + 2
=4x+14.
OPTION C IS LEGIT
what does it mean to say that polynomials form a system analogous to integers
Answer:
Perform arithmetic operations on polynomials.
Step-by-step explanation:Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Toby is buying apples. Red delicious apples, x, cost $2 per pound. Braeburn apples, y, cost $3 per pound. He wants to buy at least 10 pounds of apples, but spend no more than $24. Which graph represents this situation?
Answer:
I graphed all of the equations on the graph below.
Step-by-step explanation:
At the point (6,4), the equation \(x+y\ge10\) uses 6 + 4 ≥ 10. Also, the equation \(2x+3y\le24\) uses 2(6) + 3(4) ≤ 24.
If this answer is correct, please make me Brainliest!
Answer:
its A !!
Step-by-step explanation:
Estimate the difference by rounding each number
to the nearest hundredth: 0.065-0.048
0.01
B
0.04
0.02
D 0.03
Answer:
0.02
Step-by-step explanation:
0.065-0.048=0.017
Answer:
0.2 <3
Step-by-step explanation:
Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
Answer:
141Step-by-step explanation:
Hello
Please what’s the explanation to get the answer (2+2) ² (2+3)³
we use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
(2 + 2)² + (2 + 3)³ =
4² + 5³ =
16 + 125 =
141
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
25x(x + 5)
80 points I need answer ASAP
Answer:
\(25 {x}^{2} + 125x\)
hope it helpsUsing the table, what is the average daily balance of the credit card for the August 1 - August 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5, 678.00 should be entered as 5678.00.
DAY| ACTIVITY| ADJUSTMENT| BALANCE
1. --- ---- 1500
4. payment. -400. 1100
14. payment. -250. 850
24. payment. -100. 750
Answer:
967.74
Step-by-step explanation:
The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.
What is the average daily balance?The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.
The average daily balance = total balance / total number of days in Augst.
Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)
Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250
The average daily balance = 29250 / 31 = $943.55
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couldddddddddd i have some help super fast?
Answer:
\(\textsf{a)} \quad P=-20(x-2)^2+3380\)
b) cost of ticket = $13
max profit = $3380
number of tickets sold = 260
Step-by-step explanation:
Profit equation: \(P=20(15-x)(11+x)\)
Part (a)Vertex form of quadratic equation: \(y=a(x-h)^2+k\)
(where (h, k) is the vertex and \(a\) is some constant)
First, write the given profit equation in standard form \(ax^2+bx+c\):
\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)
Factor -20 from the first two terms:
\(\implies P=-20(x^2-4x)+3300\)
Complete the square:
\(\implies P=-20(x^2-4x+4)+80+3300\)
\(\implies P=-20(x-2)^2+3380\)
Part (b)The vertex of the profit equation is (2, 3380).
Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13
The maximum profit is the y-value of the vertex: $3380
The number of tickets sold at this price is:
⇒ max profit ÷ ticket price
= 3380 ÷ 13
= 260
The accompanying table shows the number of bacteria present in a certain culture
over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.
Write an exponential regression equation for this set of data, rounding all coefficients
to the nearest thousandth. Using this equation, determine the number of bacteria
present after 9 hours, to the nearest whole number.
Answer:
Plot the points on the graphing calculator, then generate the exponential regression equation. That equation is
\(f(x) = 852.650 ({1.082}^{x} )\)
\(f(9) = 1733\)
A company that produces widgets has found its demand function to be q = –1,500p + 90,000.
a. For each dollar increase in the wholesale price, how many fewer widgets are demanded?
b. How many widgets would be demanded at a price of $20?
c. How many widgets would be demanded at a price of $21?
d. What is the difference in quantity demanded caused by the $1 increase in wholesale price?
e. The company sets a price of $22.50. How many widgets will be demanded?
f. How much will all of the widgets cost the store to purchase at a price of $22.50?
g. If the store marks up the widgets that cost $22.50 at a rate of 50%, what is the retail price of each widget?
The quantity demanded will decrease by 1,500 widgets, all of the widgets will cost the store $1,233,750 to purchase at a price of $22.50. The retail price of each widget will be $33.75.
a. The demand function is q = –1,500p + 90,000. We can take the derivative of the demand function with respect to p:
dq/dp = -1,500
This means that for every one-dollar increase in price, the quantity demanded will decrease by 1,500 widgets.
b. To find the quantity demanded at a price of $20, we can substitute p = 20 into the demand function:
q = -1,500(20) + 90,000 = 57,000
c. Similarly, to find the quantity demanded at a price of $21, we can substitute p = 21 into the demand function:
q = -1,500(21) + 90,000 = 55,500
d. 57,000 - 55,500 = 1,500
Therefore, a one-dollar increase in price causes a decrease in quantity demanded of 1,500 widgets.
e. To find the quantity demanded at a price of $22.50, we can substitute p = 22.50 into the demand function:
q = -1,500(22.50) + 90,000 = 54,750
f. $22.50 x 54,750 = $1,233,750
Therefore, all of the widgets will cost the store $1,233,750 to purchase at a price of $22.50.
g. $22.50 + ($22.50 x 0.50) = $33.75
Therefore, the retail price of each widget will be $33.75.
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What is the equation shown in standard form of the line shown on the graph?
O x = 4
O y = 4
O x - y = 4
Answer:
\(y = 4\)
Step-by-step explanation:
Because no matter what value x is, y is always 4
Hi, need help with this, which area model would be correct?
What happened to the plant in math class
Answer:
Whats the question?
Step-by-step explanation:
or is it just like a fake question
Answer to the given famous joke is: "The plant in math class forgot to square its roots."
This joke plays on the mathematical concept of "squaring roots" and humorously applies it to a plant in a math class context. In mathematics, "squaring" a number means multiplying it by itself, and the "square root" of a number is the value that, when multiplied by itself, gives the original number.
In this joke, the plant is personified, as if it were a student in a math class, and humorously forgets to square its roots, which is something entirely unrelated to plants but fits within the mathematical context. The humor comes from the unexpected and clever blending of a mathematical concept with a non-mathematical subject, resulting in a lighthearted and punny punchline.
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------------The given question is incomplete, the complete question is:
"Explain answer to the famous joke, "What happened to the plant in math class?"-----------------
A medium soft serve costs $0.56 per ounce.
If a medium is 6.5 ounces, how much does it cost?
Help quick
Using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.
What is meant by the unitary method?
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit and the value of one unit from the value of many units. In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or fewer quantities are then determined. This method is known as the unitary method for this reason.
Given,
The cost of an ounce of medium soft serve = $0.56
The amount of soft serve in a medium size = 6.5 ounces
We are asked to find the cost of the total amount of soft serve in a medium size.
This can be done using the unitary method.
If 1 ounce = $0.56
Then for 6.5 ounces, the cost is = 6.5 * 0.56 = $3.64
Therefore using the unitary method, we found out that the cost of 6.5 ounces of a medium soft serve is $3.64.
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How many website graphics can be created?
I do not understand what do you mean
A rectangle has a length of x and a width of 6x3 + 1 − x2. Find the perimeter of the rectangle when the length is 8 feet.
The polynomial that models the perimeter of the rectangle is ?????
The perimeter is
feet ???
Answer:
6035ft
Step-by-step explanation:
Given data
Length=x
WIdth= 6x^3 + 1 − x^2
The expression for the perimeter is given as
P= 2L+2W
substitute
P=2(x)+2(6x^3 + 1 − x^2)
open brackets
P=2x+12x^3+3-2x^2
rearrange, the polynomial that models the perimeter of the rectangle is
=12x^3-2x^2+2x+3
Also, the perimeter when length x= 8 is
P=12x^3-2x^2+2x+3
P=12(8)^3-2(8)^2+2(8)+3
P=12*512-2*64+16+3
P=6144-128+19
P=6016+19
P=6035 feet
Hence the perimeter of the rectangle is 6035ft
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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an ablum recieve an award when it sells 10,000,000 copies. An ablum has sold 7,680,000 copies. How many more copies does it need to sell to recieve the award
Answer:
2,320,000
Step-by-step explanation:
10,000,000
-
7,680,000
__________
2,320,000
Answer:
2,320,000
Step-by-step explanation:
You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.
10,000,000 - 7,680,000 = 2,320,000
Raj and Carlos are reading. Carlos reads a chapter in 4 minutes, which is 3 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
7
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
4+3=7
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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How do I determine whether the two given lines are parallel, perpendicular, or neither?
-2x + 4y = -9
5x-2y=7
Answer:
If the slopes of two lines are the same then the line is parallel.
If the slope of one line is the negative inverse of the other line then it is perpendicular.
If the two lines intersect and they are not perpendicular they are neither (so if they do not follow the rules above then they are neither).
Step-by-step explanation:
If you have y=2x+3 and y=2x-3 then they are parallel because they have the same slope and they are not the same line.
If you have y=2x+3 and y= (-1/2)x - 3 then they are perpendicular because the slope of line two is the negative inverse of the first line.
If you don't get negative inverse:
If you have 2x then the inverse is 1/2x. Then the negative of (1/2)x is (-1/2)x
What is the equivalent of 2/6
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
Suppose that T is a one-to-one transformation, so that an equation T(u)=T(v) always implies u=v. Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent. This fact shows that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set (because in this case the set of images cannot be linearly dependent).
Answer:
Step-by-step explanation:
The objective is to Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent.
Given that:
\(\mathbf{[T(v_1) +T(v_2) ...T(v_p)]}\) is linearly dependent set
Thus; there exists scalars \(\mathbf{k_1 , k_2 ... k_p}\) ; ( read as "such that") \(\mathbf{k_1 T(v_1) +k_2T(v_2) ...k_pT(v_p)=0}\)
\(\mathbf{= T(k_1 v_1 +k_2v_2 ...k_pv_p)=0}\)
T = 0 (for the fact that T is linear transformation)
\(\mathbf{k_1 v_1 +k_2v_2 ...k_pv_p=0}\) (due to T is one-one)
NOTE: Not all Ki's are zero;
Thus;
\(\mathbf{[v_1,v_2 ...v_p] }\) is linearly dependent
It negation also illustrates that :
If \(\mathbf{[v_1,v_2 ...v_p]}\) is also linearly independent then \(\mathbf{[T(v_1),T(v_2) ...T(v_p)]}\) is also linearly independent.
Which expressions are completely factored?
Select each correct answer.
Responses
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
Hello!
12a³ + 8a = 4(3a³+2a) = 4a(3a² + 2)
30a⁶ - 24a² = 6(5a⁶ - 4a²) = 6a²(5a⁴ - 4)
24a⁴ + 18 = 6(4a⁴ + 3)
16a⁵ - 20a³ = 4a³(4a² - 5)
So the correct answers are:24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
HELP ASAP PHOTO INCLUDED
The volume of the cylindrical shaped pool with water is V = 75.4 feet³
Given data ,
Let the diameter of the pool be d = 8 feet
So , radius r = 4 feet
And , the height of the cylindrical pool is h = 3 feet
Now , the water is half full
So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h
V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )
On simplifying , we get
V = 75.4 feet³
Hence , the amount of water in pool is V = 75.4 feet³
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what type of object around in locality
Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.
The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:
Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.
Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.
Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.
Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.
Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.
Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.
Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.
Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.
Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.
It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.
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The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).