The graph of y= -3× + 4 is
Answer:
2-37
5-83234
23574
29016
Evan has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 4.5 points for each visit to the movie theater.
He needs 100 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Evan must make to earn a free movie ticket.
Answer:
X=10
Step-by-step explanation:
4.5x +55=100
Answer:
X=10
Step-by-step explanation:
4.5x +55=100
3. A cylindrical can has a height of 5 inches and adiameter of 4 inches. What is the approximatevolume of the can?A. 20 cubic inchesB. 100 cubic inchesC. 200 cubic inchesD. 314 cubic inches
Solution:
Given a cylinder with
Height = 5 in
Diameter = 4in
We want to determine the volume of the cylinder.
\(\begin{gathered} Volume\text{ of cylinder = }\pi r^2h \\ Where\text{ r=radius, h=height } \end{gathered}\)\(For\text{ this question, r=}\frac{4}{2}=2inches\)\(\begin{gathered} Volume\text{ = }\pi(2^2)(5) \\ Volume=\text{ 62.84cubic inches} \end{gathered}\)The volume of the of the can is 62.84 cubic inches
Write an expression to represent the given statement. Use n for the variable.
Please help with this question.
Answer:
3m+20>35
Explanation
m stands for months 3 every m
+ the 20 he starts with will be grater than >35
what the answer for this area?
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
4.1.3 Bathu Sneakers have been looking into different shoebox sizes: a large box for male shoes and small box for female shoes. The cost of the cardboard to make the boxes is 0,502 cents/cm². Calculate the percentage savings Bathu Sneakers will make if the smaller box is used compared to the normal larger box. Larger Box Total Surface Area = 4 093 cm² 19 cm 26 cm 34,5 cm Smaller Box Total Surface Area = 3 034 cm² 25 cm 17 cm 26 cm (6)
Answer:
Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.
For the larger box:
Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²
Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)
For the smaller box:
Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²
Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.
Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)
The difference in cost between the larger and smaller boxes is:
20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)
The percentage savings can be calculated as follows:
Percentage savings = (difference in cost / cost of larger box) * 100%
= (5.33718 / 20.55986) * 100%
= 25.98%
Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.
Kari swims 4 laps around a pool in 12 minutes,
1. How many minutes per lap is that?
Answer:
3 minutes per lap
Step-by-step explanation:
12 divided by 4 is 3
Answer:
12÷4=3
Step-by-step explanation:
3 lapsaround the
3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
Answer:
Answer:
(b). 3.5
(c). 28 cubes
Step-by-step explanation:
If Jane invests $1500 in a savings account with a 6% interest rate compounded monthly, how long will it take until Jane’s amount has a balance of $5200?
Answer:
22 months it take at all..
Carson wants to solve this system of equations.
y=x^2+5x−6
y=x−1
Use the drop-down menus to complete the explanation of why Carson’s work cannot be used to find the solution of the system of equations.
Carson's work is correct for solving the equations.
Given that;
Carson wants to solve this system of equations.
y = x² + 5x − 6
y = x − 1
Now, We can solve first equation as;
y = x² + 5x - 6
y = x² + 5x - 6 = 0
⇒ x = - 5 ± √5² - 4×1×- 6 / 2
⇒ x = - 5 ± √25 + 24 / 2
⇒ x = - 5 ± √49 / 2
⇒ x = - 5 ± 7/2
⇒ x = - 5 + 7 / 2
⇒ x = 2/2
⇒ x = 1
⇒ x = - 5 - 7 / 2
⇒ x = - 12 / 2
⇒ x = - 6
Hence, From (ii);
⇒ y = x - 1
At x = 1;
y = 1 - 1
y = 0
At x = - 6;
y = - 6 - 1
y = - 7
Hence, Carson's work is correct.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Which of the following is not one of the ways to represent a function?
A) Words
B) Tables
C) Domains
D) Graphs
Thank you! :D
Words, or option A.
i hope this helps (:
Answer:
It's C - Domains
Step-by-step explanation:
Amanda Boleyn, an entrepreneur who recently sold her start-up for a multi-million-dollar sum, is looking for alternate investments for her newfound fortune. She is considering an investment in wine, similar to how some people invest in rare coins and fine art. To educate herself on the properties of fine wine, she has collected data on 13 different characteristics of 178 wines. Amanda has applied k-means clustering to this data for k = 1, ..., 10 and generated the following plot of total sums of squared deviations. After analyzing this plot, Amanda generates summaries for k = 2, 3, and 4. Which value of k is the most appropriate to categorize these wines? Justify your choice with calculations.
The most appropriate value of k to categorize these wines is k = 3.
To calculate this, we can use the elbow method, which looks for the point of maximum change in the Total Sum of Squared Deviations (TSS) plot.
For k = 2, the TSS value is 92.4.
For k = 3, the TSS value is 65.2.
For k = 4, the TSS value is 53.9.
We can see that the TSS value changed most drastically between k = 2 and k = 3. Therefore, k = 3 is the most appropriate value to categorize these wines.
For more questions like TSS click the link below:
https://brainly.com/question/19578944
#SPJ4
A private museum charges $40 for a group of 10 or fewer people. A group consisting of more than 10 people must, in
addition to the $40, pay $2 per person for the number of people above 10. For example, a group of 12 pays $44. The
maximum group size is 50.
a) How much does a group of 16 pay?
b) Find a formula for the cost function.
c) What are the domain and range of the cost function? (Hint: Use the graph on the calculator)
Answer:
i hope this helpes
Step-by-step explanation:
a) A group of 16 pays $40 + ($2 x (16 - 10)) = $40 + $6 = $46.
b) The cost function can be represented as C(x) = 40 + 2(x - 10) for x > 10 and C(x) = 40 for x <= 10, where x is the number of people in the group and C(x) is the cost for the group.
c) The domain of the cost function is all non-negative real numbers less than or equal to 50 (0 <= x <= 50), since the maximum group size is 50. The range of the cost function is all non-negative real numbers greater than or equal to 40 (C(x) >= 40), since the minimum charge for a group is $40.
Answer:
a) $52
b) C(x) = 40 + 2x, if x > 10 and x ≤ 50
C(x) = 40, if x ≤ 10
c) Domain = {x ≥ 1 and x ≤ 50}
Range = { from 40 to 140}
Need help please with this
Answer: It would be Answer D
Step-by-step explanation: He Subtracted from both sides in an incorrect order
Ashley selected 5 essays from each student in her class. Each student wrote the same number of essays. Is this sample of the essays written by the class likely to be biased?
Answer:heheheheheheheheheh
Step-by-step explanation:
im funny
Julie has a bag of flour that holds 20 cups of flour. She needs 4 cups for each loaf of bread.
How many loaves of bread can she make? Explain.
An auto repair company is advertising on television and on the internet. It hires a statistician to poll 500050005000 people across the country at the beginning of every month for six months. Eight hundred people saw the advertisement on television at the beginning of the first month with an increase of 200200200 people each month. Also, 100010001000 people saw the advertisement on the internet at the beginning of the first month with an increase of xxx percent each month. At the beginning of the third month, there were 240240240 more people who saw the advertisement on the internet than on television. To the nearest percent, what is the value of xxx
Answer:
xxx = 20%
Step-by-step explanation:
No. of people who saw the advert on television:
At the beginning of the first month = 800
Monthly increase = 200
At the beginning of the third month = 1,200 (800 + 200 * 2)
If 240 more people saw the advert on the internet than on television at the beginning of the third month,
This implies that, at the beginning of the third month, 1,440 (1,200 + 240) saw the advert on the internet, increasing from 1,000 the previous two months.
Therefore, the rate increase in two months = 1,440/1,000 = 1.44
and the square root of 1.44 = 1.2
xxx = 0.2 (1.2 - 1) = 20%
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
Learn to solve more equations here: brainly.com/question/14686792
#SPJ1
PLEASE ANSWER ASAP! 25 POINTS!
Eric and his friends went to Burger King. They bought french fries and burgers for the movies. French fries cost $3 each, burgers cost $9 each. They spent a total of $102, and they bought a total of 16 items. Find out how many orders of french fries and burgers they bought.
Answer:
Burgers: 12
French Fries: 34
Step-by-step explanation:
sin²A+sin²A.tan²A=tan²A
Greetings from Brasil...
Putting SIN² A in evidence
SIN² A(1 + TG² A) = TG² A
1 + TG² A = SEC² A
SIN² A(SEC² A) = TG² A
SIN² A/COS² A = TG² A
TG² A = TG² A
Find the square root of 9 by long division method
The square root of 9 by long division method will give an answer of 3.
Steps in finding the square root1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.
2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.
3: Write 3 as the divisor on the left, and the quotient on the top right.
3 √ 9 | 0
4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.
3 √ 9 | 0
- 9
5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
6: Bring down the next pair (0) to the right of the difference.
3 √ 9 | 0
- 9
0
-----
7: Double the quotient (3) and write a blank space to the right.
3 √ 9 | 0
- 9
0
-----
0
?
8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.
9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
- 0
11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.
√9 = 3.
Learn more on finding square roots by long division methods here https://brainly.in/question/52760816
#SPJ1
Which property is demonstrated below?
(b-c)d= b(c-d)
A. associative property
B. distributive property
C. commutative property
D. identity property
Answer:
i think its commutative, sorry if im wrong :/
Step-by-step explanation:
Which graph best represents the solution to the system of equations shown below? y = -2x + 14 y = 2x + 2 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
The graph whuch best represents the solution to the system of equations is; A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
What is the graphical solution of the system big equations?As an alternative, solving the system of equations algebraically, we have;
-2x +14 = 2x +2
x = 3 and by substitution;
y = 8.
On this note, the point (3,8) is a solution of the graph and hence, the answer choice with two lines intersecting at (3,8) is correct.
Read more on graphical solution of a system of equations;
https://brainly.com/question/14323743
#SPJ1
Find the first three nonzero terms in the power series expansion for the product f(x)g(x).
f(x) = e^2x = [infinity]∑n=0 1/n! (2x)^n
g(x) = sin 5x = [infinity]∑k=0 (-1)^k/(2k+1)! (5x)^2k+1
The power series approximation of fx)g(x) to three nonzero terms is __________
(Type an expression that includes all terms up to order 3.)
Answer:
∑(-1)^k/(2k+1)! (5x)^2k+1
From k = 1 to 3.
= -196.5
Step-by-step explanation:
Given
∑(-1)^k/(2k+1)! (5x)^2k+1
From k = 0 to infinity
The expression that includes all terms up to order 3 is:
∑(-1)^k/(2k+1)! (5x)^2k+1
From k = 0 to 3.
= 0 + (-1/2 × 5³) + (1/6 × 10^5) + (-1/5040 × 15^5)
= -125/2 + 100000/6 - 759375/5040
= -62.5 + 16.67 - 150.67
= - 196.5
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Solve ARST.
R
S
72°
7
T
15
r
S
Answer:
r = 14.3s = 4.6S = 18°Step-by-step explanation:
You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.
Trig relationsThe mnemonic SOH CAH TOA reminds you ...
Sin = Opposite/Hypotenuse ⇒ r = 15·sin(72°) ≈ 14.3
Cos = Adjacent/Hypotenuse ⇒ s = 15·cos(72°) ≈ 4.6
The acute angles in a right triangle are complementary, so ...
S = 90° -R = 90° -72° = 18°
What is the surface area of the image below I’ll give b brainliest
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
ANYONE????????????????
Step-by-step explanation:
B. The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Can you please help me
9514 1404 393
Answer:
x = 30°y = 20°Step-by-step explanation:
The relevant relations are ...
the sum of the arcs of a circle is 360°an inscribed angle subtends an arc twice its measureThese give rise to two equations. (x and y are in degrees)
6y +6y +4x = 360
6y = 2(2x)
Substituting the latter into the former gives ...
6y +6y +6y = 360
y = 20 . . . . . . . . . . . . divide by 18
Then using this in the second equation, we have ...
6(20) = 4x
30 = x . . . . . . . . divide by 4
The measures of x and y are 30° and 20°, respectively.