The share that will be given to Sam is $850.
How much will Sam's share be?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
In this case, he had two other friends, his ratio will be 1:3. This implies 1/3.
Given that the total rent for the apartment allocated to Sam is $800 and is increased by $150, the total amount will be:
= $800 + (1/3 × $150)
= $800 + $50
= $850
Therefore, the amount allocated to him will be $850.
Learn more about ratio on
brainly.com/question/2328454
#SPJ1
Complete question
Sam share an apartment with his two friends. His monthly income is $1500 and the rent allocated to him is $800. Suppose the total rent for the apartment is increased by $150. How much would Sam's share be then?
What is the pattern rule that is used to get the next term in the pattern?
8, 32, 128, 512, ...
Answer:
The Pattern is the last number is multiplied by 4
\(8*4^{n-1}\)
Step-by-step explanation:
Can someone please help
Answer:
The answer is in the pictures
Help Please!
5=(2m-b)/(m+b)
Answer:
m=−2b
b=−m/2
work: i just know
PLEASE HELP FAST!!!!
On Monday a group of students took a test and the average ( arithmetic mean ) score was exactly 80. 4. A student who was absent on Monday took the same test on Tuesday and scored 90. The average age test score was then exactly 81. How many students took the test on Monday?
A) 14
B) 15
C) 16
D) 17
E) 18
With steps please
The number of students who took the test on Monday is found to be 15, hence the correct option is B.
Let us assume that the number of student taking test on Monday is n. The total score for Monday's test is n times the average score of 80.4,
Monday's total score = 80.4n
When the student who missed the test on Monday took the test on Tuesday and scored 90, the total score became,
Total score = 80.4n + 90
The new average score of 81 can be expressed as,
81 = Total score / (n+1)
Substituting the value of the total score, we get,
81 = (80.4n + 90)/(n+1)
Multiplying both sides by n+1, we get,
81(n+1) = 80.4n + 90
Expanding the brackets,
81n + 81 = 80.4n + 90
Simplifying,
0.6n = 9
n = 15, so, the number of students who took the test on Monday is 15.
To know more about arithmetic mean, visit,
https://brainly.com/question/1136789
#SPJ4
A student made the table to find 40% of 130.
Answer:
52 is the answer.
Step-by-step explanation:
you're welcome ;)
use long division to write 5/10 as a decimal
Answer:
.5
Step-by-step explanation:
How many solutions does the following linear equation have?
3(x – 5) = 1 (62 - 12)
O no solution
O one solution
O infinitely many solutions
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
17. a group of seven people have tickets to see a play. they are going to sit in a row of seven seats, with an aisle at each end of the row. one of the people needs to sit next to an aisle, because she must leave early. how many different ways can the people sit in the row?
In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.
Seat Arrangement CalculationThe total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.
Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.
Learn more about Seat Arrangement Calculation here:
https://brainly.com/question/23273649
#SPJ4
Choose the polynomial written in standard form. x2 4x4 10x6 x4 4x3 10x x7 4x3 10x4 x6 4x3 10x7
The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x
What is standard form of a polynomial?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
\(x^3 + 3x +5\)
is a polynomial consisting 3 terms as \(x^3, 3x \: \rm and \: 5\)
Cheking all the options for them being in standard form or not:
Option 1: \(x^2 + 4x^4 + 10x^6\)Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.
Option 2: \(x^4 + 4x^3 + 10x\)4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).
Thus, this polynomial is in standard form.
Option 3: \(x^7 + 4x^3 + 10x^4\)Not in standard form because the last term has bigger power then the term on its left.
Option 4: \(x^6 + 4x^3 + 10x^7\)Not in standard form because the last term has bigger power then the term on its left.
Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x
Learn more about standard form of a polynomial here:
https://brainly.com/question/15313798
Every week Maria puts $25 into her savings account. She has $680 in her account now. Which equation shows how to calculate how much money she will have in her account next week?
A. Amount in savings next week +$25=$680
B .Amount in savings next week =$680+$25
C. Amount in savings next week =$680×$25
D. $680− amount in savings next week =$25
Answer:
B.
Step-by-step explanation:
If every week she adds 25 dollars, then she has to still add 25 dollars. So, B. will be the correct answer.
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
Read more about Unit Circle at: https://brainly.com/question/26284611
#SPJ1
determine the interval of convergence for the taylor series of f(x)=−14/x at x=1. write your answer in interval notation.
This limit is less than 1 if and only if |x-1| < 1/6, so the interval of convergence is: (1-1/6, 1+1/6) = (5/6, 7/6)
The Taylor series for f(x) = -14/x centered at x=1 is:
\(f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...\)
Taking the derivatives of f(x), we have:
f(x) = -14/x
\(f'(x) = 14/x^2\)
\(f''(x) = -28/x^3\)
\(f'''(x) = 84/x^4\)
Evaluating these at x=1, we get:
f(1) = -14
f'(1) = 14
f''(1) = -28
f'''(1) = 84
Substituting these values into the Taylor series, we get:
\(f(x) = -14 + 14(x-1) - 28(x-1)^2/2! + 84(x-1)^3/3! - ...\)
To determine the interval of convergence, we can use the ratio test:
\(lim_{n- > inf} |a_{n+1}(x-1)/(a_n(x-1))| = lim_{n- > inf} |(84/(n+1))/(14/n)| |x-1| = |6(x-1)|.\)
For similar question on convergence.
https://brainly.com/question/31385080
#SPJ11
The interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.
To determine the interval of convergence for the Taylor series of f(x) = -14/x at x = 1, we first find the Taylor series representation. Since f(x) is a rational function, we can rewrite it as f(x) = -14(1/x) and then use the geometric series formula:
f(x) = -14Σ((-1)^n * (x - 1)^n), where Σ is the summation symbol and n runs from 0 to infinity.
To find the interval of convergence, we use the ratio test. The ratio test involves taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:
lim (n→∞) |((-1)^(n+1)(x - 1)^(n+1))/((-1)^n(x - 1)^n)|
Simplify the expression:
lim (n→∞) |(x - 1)|
For convergence, this limit must be less than 1:
|(x - 1)| < 1
This inequality gives us the interval of convergence:
-1 < (x - 1) < 1
Add 1 to each part:
0 < x < 2
So, the interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.
Visit here to learn more about Taylor series :
brainly.com/question/29733106
#SPJ11
what is the pattern? 128; 640; 3,200
Answer:
128×5=640
640×5=3200
Multiply by 5
The pattern is a recurring sequence of digits, forms, colors, etc. It's also known as a sequence of numbers that relate to per in a specified way.
Pattern:value = 128, 640, 3200
⇒ 128
Multiply by 5 into 128 so we get the value that is 640.
⇒ 128 × 5=640
After getting the value that is 640 again, multiplied by 5, we get the value that is 3,200.
⇒ 640 × 5 = 3200
To find the pattern, we multiply the given value by 5, which is equal to 128, 640, and 3200.
Find out more about the pattern here:
brainly.com/question/14720576
What is the slope of the line
Answer:
below
Step-by-step explanation:
∆y/∆x
2.3/1.5
= 1.533
A researcher obtains z = 1.80 for a one-sample z test. What is the decision for this test at a .05 level of significance?
Group of answer choices
a. to reject the null hypothesis
b. to retain the null hypothesis
c. It depends on whether the test is one-tailed or two-tailed.
d. There is not enough information to make a decision.
The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).
To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).
For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.
Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.
Learn more about z test at https://brainly.com/question/32334731
#SPJ11
Task InstructionsCreate a new workbook using the Monthly Attendance Report template
This answer provides number of instructions on how to create a new workbook using the Monthly Attendance Report template in Microsoft Excel.
1. Open Microsoft Excel.
2. Click the File tab at the top of the window.
3. Select “New” from the menu.
4. Select “Templates” from the list of options.
5. Type “Monthly Attendance Report” into the search box.
6. Select the Monthly Attendance Report template from the list of search results.
7. Click “Create” to create a new workbook using the template.
This answer provides number of instructions on how to create a new workbook using the Monthly Attendance Report template in Microsoft Excel.
Learn more about number here
https://brainly.com/question/10547079
#SPJ4
the points (16, 12) and (12, 9) fall on a particular line. what is its equation in slope-intercept form?
Answer: y=3/4x
Step-by-step explanation:
1. Find slope using slope formula
2. Find b value by plugging a point to solve for b with
True or false two points that map together never coincide
40 PTS!!!! A single-serving juice boxes measure 10cm by 7cm and 5cm. A manufacturer wants to shrink wrap four boxes together for sale. Which of the two arrangements of the boxes with use the least amount of plastic wrap? Show your work
Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².
To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.
Arrangement 1:
In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:
Surface area of a single box = 2(lw) + 2(lh) + 2(wh)
= 2(107) + 2(105) + 2(7*5)
= 140 + 100 + 70
= 310 cm²
Since we have four boxes in this arrangement, the total surface area to be covered is:
Total surface area = 4 * 310 cm²
= 1240 cm²
Arrangement 2:
In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:
Surface area of a single box is the same as in the previous arrangement:
Surface area of a single box = 310 cm²
Since we have four boxes stacked vertically, the total surface area to be covered is:
Total surface area = 4 * 310 cm²
= 1240 cm²
Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².
for such more question on surface area
https://brainly.com/question/20771646
#SPJ8
A right square pyramid has a base area of 200 square inches. Find its volume, if its height is 6 inches.
A. 33 in.
B. 400 in.
C. 3,600 in.
D. 1,200 in.
Step-by-step explanation:
400 in. is the correct answer
For a pyramid, volume= (1/3) x b x h where
B= base area, and
h= height .
So, volume= (1/3) x (200in^2) x (6in) = 400in^3.
- Chilio
hat kind of cups for measuring are sometimes made from glass or something transparent so the markings on the side with different measurements are visible? a tare measuring cups b maillard measuring cups c standard measuring cups d graduated measuring cups
The graduated measuring cups are made from something glass or something transparent to markings on the side with different measurements are visible. Option (d) is the correct answer.
The kind of cups for measuring that are sometimes made from glass or something transparent so the markings on the side with different measurements are visible are called graduated measuring cups. These cups are designed to make measuring precise amounts of liquid or dry ingredients easy, and the transparent material allows you to see the measurement markings clearly. Graduated measuring cups are commonly used in baking and cooking, as well as in scientific research and other applications where accurate measurements are essential.
Therefore, Graduated measuring cups is the answer.
To learn more about graduated measuring cups:
https://brainly.com/question/19739778
#SPJ4
What solid figure has two bases, but no lateral faces?
A.cone
B.cylinder
C.rectangular prism
D.triangular prism
Answer:
B - Cylinder
Step-by-step explanation:
It has 2 bases (one on top and one at the bottom)
And It has no lateral faces
Answer: cylinder
Step-by-step explanation:
hope this helps
30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
Which could be the scale factor of the following similar figures? (1 point)
The first triangle's sides are 9,9,12
The second triangles sides are 6,6,8
A.) 2/3
B.) 3/4
C.) 1
D.) 3/2
E.) 4/3
Answer:3/2
Step-by-step explanation: just did the test
As all sides have grown by 2/3 times, The scale factor is 2/3. Thus, option A is correct.
What is scale factor?In its simplest form, a scale factor is the proportion between the model measurement and the actual measurement. The scale factor, as opposed to a scale ratio, does not contrast various measurement units. A model car that is scaled at one-twentieth of its real-world counterpart is said to be that size. The car is also 20 times bigger than the model, according to this statement.
16 feet is the length of a fence. The fence is depicted as being 4 inches tall on a map. Write a ratio comparing the two quantities before attempting to calculate the scale factor of the drawing to the actual fence.
Given triangle side are 6, 6, 8 and scaled triangle is 9,9,12
The corresponding sides are
6/9, 6/9, 8/12
When you simply, we get
2/3, 2/3, 2/3
As all sides have grown by 2/3 times, The scale factor is 2/3. Thus, option A is correct.
Learn more about scale factor
https://brainly.com/question/29047298
#SPJ1
Generate the second and third degree Legendre polynomials
Solve this ODE using the Frobenius Method x²y"+x²y¹-2y = 0
Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:
xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.
The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.
Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0
The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]
Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.
To know more about ODE visit
https://brainly.com/question/30278915
#SPJ11
Find the area of the figure.
area
units2
Answer:
\(33 units^{2}\)
I counted the squares.
Find the circumference.
Use 3.14 for it.
r = 4 cm
C = [?] cm
C=Td
Answer:
25.12
Step-by-step explanation:
diameter is twice the radius. 4 times 2 = 8
3.14 times 8 = 25.12
please help with this!!!
Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
Divide $70 into these ratios 1:2:4
Answer:
Step-by-step explanation:
1+2+4=7
70/7=10
10 x 1=10 10 x 2=20 10 x 4=40
10:20:40
For which inequality is .r = 5 a solution?
А х<2
в. х> 9
ОО
) с. х< 18
OD. x> 42
Answer:
The answer is C x<18 indirectly saying 5<18 the other options has no match for it