Answer: -4
Step-by-step explanation:
Divide by -4 each time to get the next number in the sequence.
5,8,11,7,9 find the mad
Answer:
1.6
Step-by-step explanation:
i used a calculator
The answer would be 1.6
A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than the first customer for 1 large candle and 4 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
A.
6y = 2x + 60
4y = x + 65
B.
6y = 2x + 60
4y = x + 55
C.
2x + 6y = 60
x + 4y = 65
D.
2x + 6y = 60
x + 4y = 55
Answer:
b
Step-by-step explanation:
Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
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22,469 divided by 15 long division show work
Matthew wants to take out a loan to buy a car. He calculates that he can make repayments of $35,000 per year. If he can get a six-year loan with an interest rate of 9.25%, what is the maximum price he can pay for the car?
The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.
To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.
Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.
To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.
Let's assume the loan amount is denoted by P.
The formula to calculate the future value of a loan with interest is:
FV = P(1 + r)^n
Where:
FV = Future value (total amount repaid)
P = Principal amount (maximum price of the car)
r = Interest rate per period (9.25% or 0.0925)
n = Number of periods (six years)
Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:
$210,000 = P(1 + 0.0925)^6
Now we can solve for P:
P = $210,000 / (1 + 0.0925)^6
Evaluating this expression, we find:
P ≈ $126,318.29
Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.
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I need help with this question
Answer:
38°.
Step-by-step explanation:
A triangle adds up to 180°.
CAB= 78°
But we minus 78° from 46°:
32°.
As a triangle adds up to 180°,
110+32= 142°.
180-142= 38°.
To see if we are correct:
38+32+110= 180°.
Hope this is okay!
11. a=1 and b=0 V. a=2 and b=1 Consider the linear DEY= X^B Y' = x²y+xy²/ x+y² . Which value of a and b, the given DE will be homogenous? I. a=0 and b=1 ; II. a=1 and b=0 III. a=1 and b=2; IV. a=1 and b=1 V. a=2 and b=1
To determine which values of a and b make the given linear differential equation homogeneous, we need to check if the equation satisfies the condition for homogeneity.
A linear differential equation of the form Y = x^b * y' = F(x, y) is homogeneous if and only if F(tx, ty) = t^a * F(x, y), where t is a constant.
Substituting the given equation into the homogeneity condition, we have:
(x^b)(tx)^2 * (ty) + (tx)(ty)^2 / (tx + (ty)^2) = t^a * ((x^b)(y) + (x)(y^2) / (x + (y)^2))
Simplifying the equation, we get:
t^(2+b) * x^(2+b) * t * y + t^(1+b) * x * t^2 * y^2 / (t * x + t^2 * y^2) = t^a * (x^b * y + x * y^2 / (x + y^2))
Now, we compare the powers of t and x on both sides of the equation.
From the terms involving t, we have 2+b = a and 1+b = a.
From the terms involving x, we have 2+b = b and 1 = b.
Solving these equations, we find that the only values of a and b that satisfy the conditions are:
a = 1 and b = 0.
Therefore, the correct choice is II. a = 1 and b = 0.
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help plssssssssssssssssssssssssssss
Answer:
4
Step-by-step explanation:
Because triangles are similar we can calculate coefficient by dividing.
k=AB/DE
18/2=9
Then we can find DF by dividing: AC/k
DF=36/9=4
Consider the following key-value pairs:
(1, a), (4, b), (2, c), (17, d), (12, e), (9, e), (19, f), (4, g), (8, c), (12, f)
Use separate chaining to adde key-value to table. Assume table size is 10. Assume its buckets are using a linked list where new elements are appended to the end. (Hint: Chaining probing)
A) Show your hash table after inserting the above key-value pairs in the order given using the hash function h(x) = (x + 3) % 3.
B) How many collisions occurred
A) The resulting hash table with separate chaining is as follows:
[0: (12, e) -> (9, e) -> (12, f)]
[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]
[2: (2, c) -> (19, f) -> (8, c)]
B) The number of collisions that occurred is 4.
A) To construct the hash table using separate chaining with a table size of 10 and the hash function h(x) = (x + 3) % 3, we will insert the key-value pairs in the given order and handle collisions by appending new elements to the end of the linked list in each bucket.
1. (1, a):
- Hash value: h(1) = (1 + 3) % 3 = 1
- Insert (1, a) into bucket 1: [1: (1, a)]
2. (4, b):
- Hash value: h(4) = (4 + 3) % 3 = 1
- Collision occurs in bucket 1
- Append (4, b) to the linked list in bucket 1: [1: (1, a) -> (4, b)]
3. (2, c):
- Hash value: h(2) = (2 + 3) % 3 = 2
- Insert (2, c) into bucket 2: [1: (1, a) -> (4, b)], [2: (2, c)]
4. (17, d):
- Hash value: h(17) = (17 + 3) % 3 = 1
- Collision occurs in bucket 1
- Append (17, d) to the linked list in bucket 1: [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]
5. (12, e):
- Hash value: h(12) = (12 + 3) % 3 = 0
- Insert (12, e) into bucket 0: [0: (12, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]
6. (9, e):
- Hash value: h(9) = (9 + 3) % 3 = 0
- Collision occurs in bucket 0
- Append (9, e) to the linked list in bucket 0: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c)]
7. (19, f):
- Hash value: h(19) = (19 + 3) % 3 = 2
- Insert (19, f) into bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d)], [2: (2, c) -> (19, f)]
8. (4, g):
- Hash value: h(4) = (4 + 3) % 3 = 1
- Collision occurs in bucket 1
- Append (4, g) to the linked list in bucket 1: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f)]
9. (8, c):
- Hash value: h(8) = (8 + 3) % 3 = 2
- Collision occurs in bucket 2
- Append (8, c) to the linked list in bucket 2: [0: (12, e) -> (9, e)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]
10. (12, f):
- Hash value: h(12) = (12 + 3) % 3 = 0
- Collision occurs in bucket 0
- Append (12, f) to the linked list in bucket 0: [0: (12, e) -> (9, e) -> (12, f)], [1: (1, a) -> (4, b) -> (17, d) -> (4, g)], [2: (2, c) -> (19, f) -> (8, c)]
The resulting hash table with separate chaining is as follows:
[0: (12, e) -> (9, e) -> (12, f)]
[1: (1, a) -> (4, b) -> (17, d) -> (4, g)]
[2: (2, c) -> (19, f) -> (8, c)]
B) The number of collisions that occurred is 4.
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Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
The constant of proportionality is 0.5.
How to compute the value?From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.
The constant of proportionality can be illustrated as k.
Therefore, 12.50 = 25 × k
12.50 = 25k
Divide
k = 12.50/25
k = 0.5
The constant of proportionality is 0.5.
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Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school’s cross-country team. She needs to buy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that Malia should buy?
Answer:
graph ??? have u even tried to read the problem
Step-by-step explanation:
In AMNO, m = 1.3 inches, n = 2.1 inches and ZO=138°. Find the area of AMNO, to
the nearest 10th of a square inch.
The area of quadrilateral AMNO is approximately 2.4 square inches.
To find the area of quadrilateral AMNO, we can use the formula for the area of a general quadrilateral, which states that the area can be calculated as half the product of the diagonals multiplied by the sine of the angle between them. In this case, the diagonals are AM and NO, and the angle between them is ZO.
Given that m = 1.3 inches and n = 2.1 inches, we can use these values to calculate the area.
First, we need to find the length of the diagonals AM and NO. Using the Pythagorean theorem, we can find the length of AM:
AM = √(AO^2 + OM^2)
= √(m^2 + n^2)
= √(1.3^2 + 2.1^2)
≈ √(1.69 + 4.41)
≈ √6.1
≈ 2.47 inches
Similarly, the length of NO is also 2.47 inches.
Now, we can calculate the area of AMNO using the formula:
Area = (1/2) * AM * NO * sin(ZO)
Plugging in the values, we have:
Area = (1/2) * 2.47 * 2.47 * sin(138°)
Using a calculator, we find that sin(138°) ≈ 0.9401.
Substituting the values, we get:
Area ≈ (1/2) * 2.47 * 2.47 * 0.9401
≈ 2.4267 square inches
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1.17. If u is a twice differentiable function on R N
depending only on r=∣x∣, show that Δu=u rr
+ r
N−1
u r
(Spherical coordinates in R N
are reviewed in Section A.4, but the details of the angular variables are not needed for this calculation. Start by showing that ∂x j
∂u
=u ′
(r) r
x j
.)
The Laplacian operator Δu of a twice differentiable function u on R^N, where N is the number of dimensions, can be expressed in spherical coordinates as Δu = u_rr + (r^(N-1))(u_r), where u_rr represents the second derivative of u with respect to r, u_r represents the first derivative of u with respect to r, and r is the radial distance from the origin.
How can we show that ∂x_j(∂u/∂x_j) = u'(r)(r*x_j)?To show this result, we start by expressing the partial derivative of u with respect to x_j in terms of spherical coordinates. In spherical coordinates, x_j can be written as r*x_j, where r is the radial distance and x_j is the unit vector in the j-th direction. Therefore, we have:
∂u/∂x_j = (∂u/∂r)(∂r/∂x_j) = (∂u/∂r)*x_j.
Next, we differentiate both sides of this equation with respect to x_j:
∂x_j(∂u/∂x_j) = (∂x_j(∂u/∂r))*x_j = (∂(∂u/∂r)/∂x_j)*x_j.
Now, we can evaluate the partial derivative of (∂u/∂r) with respect to x_j. Since u depends only on r, the derivative of (∂u/∂r) with respect to x_j is zero, giving us:
∂x_j(∂u/∂x_j) = (∂(∂u/∂r)/∂x_j)*x_j = 0*x_j = 0.
Therefore, we have shown that ∂x_j(∂u/∂x_j) = 0.
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In the figure below, C is between A and D, and B is the midpoint of AC. If BC=5 and AD = 18, find CD.
CD =
B
D
X
G
A midpoint is a point that divides a line into 2 equal smaller lines.
Therefore, given that B is the midpoint of AC, AB = BC.
BC = 5 -> AB = 5.
So, AC = 5 + 5 = 10.
We're given AD = 18, and AD is also equal to AC + CD.
AC = 10, therefore CD = 18 - 10 = 8.
Aaron estimated that 148% of 333 is 495
Answer: Yes, because his calculation should be 150% of 330.
Step-by-step explanation:
150×330 = 495
148% of 333 is 495 is not true because 148% of 333 is 493.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
148% of 333
This can be written as,
148/100 x 333
= 492.84
= 493
Thus,
148% of 333 is 493.
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Kevin divides 3 pieces of paper into fourths. How many fourths does he have? Draw a picture to support your answer.
Answer: 12 fourths
Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together
A value hypothesis explains the reasons why a customer may choose not to use a product.
A value hypothesis explains the reasons why a customer may choose not to use a product: false.
What is a value hypothesis?In Mathematics, a value hypothesis can be defined as a type of hypothesis which test whether or not a product or service really delivers value to customers once it is being used by them.
This ultimately implies that, a value hypothesis proposes a handful of assumptions about a product or service while structuring them, so as to be verified or rejected.
In this context, we can reasonably infer and logically deduce that a value hypothesis does not explain the reason why a product is rejected and not used by a customer.
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Complete Question:
A value hypothesis explains the reasons why a customer may choose not to use a product. True or false?
Write the first five terms of the geometric sequence in which a1=27 and the common ratio is 4/3.
Answer:
27,36,48,64,256/ 3.To know the solution with Proof Refer To the above attachment .Hope this helps you !!Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
48 cm
37 cm
35 cm
24 cm
Answer:
I think the surface it is 24 cm
determine the value of tanθ given that the terminal side of angle θ intersects the unit circle in the first quadrant at (910,y)
Answer : tanθ = sqrt(1 - (910)²) / 910
Given: that the terminal side of angle θ intersects the unit circle in the first quadrant at (910, y), we can find the value of tanθ using the coordinates.
Explanation:
Recall that on the unit circle, tanθ = y/x. In this case, x = 910 and y is the unknown value. However, since we are in the first quadrant, both x and y will be positive.
To find y, we can use the Pythagorean theorem for the unit circle: x² + y² = 1.
Substitute x = 910:
(910)² + y² = 1
y² = 1 - (910)²
Now, since y is positive in the first quadrant, we take the positive square root:
y = sqrt(1 - (910)²)
Finally, find tanθ = y/x:
tanθ = sqrt(1 - (910)²) / 910
what is the slope- intercept form of 4x+5y=20
Answer:
y = -4/5x + 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 4x + 5y = 20
Step 2: Rewrite
Subtract 4x on both sides: 5y = 20 - 4xDivide 5 on both sides: y = 4 - 4/5xRearrange: y = -4/5x + 4can someone help me with this, i don’t understand, do we have to like name each shape ?? if so please help me!! please please pleasee
Answer: IT's asking for you to put the letter of the shapes next to they're name
Step-by-step explanation:
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
The radius of a circle is 4 miles. What is the circle's area 3.14 for .
Answer:
50.24
Step-by-step explanation:
4^2=16
16*3.14=50.24
Answer its 25.12
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
Should be around 4.5
Step-by-step explanation:
If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5
Please answer this math question for me
Answer:
angle D is 90⁰
E is 66⁰
and F is 114⁰
Answer:
e is 66 f is 114 and d is 90
Step-by-step explanation:
I hope all is well
A cheetah travels at a rate of 90 ft./s.
•The distance d traveled by the cheetah is a function of seconds traveled t. Write a rule for the function
•How far will the cheetah travel in 25 seconds
The required function is d = 90t and cheetah will travel 2250 feet in 25 seconds.
What is Speed?That is Speed = distance*time. Alternatively, you can calculate the duration by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs. For instance, if a car goes 120 miles in 2 hours, we can calculate the speed as 120 x 2 = 60 miles per hour.
According to question:The distance d traveled by the cheetah is given by the formula:
d = rt
where r is the rate (speed) of the cheetah and t is the time (in seconds) traveled.
Substituting the given values, we get:
d = 90t
Therefore, the function that relates the distance traveled by the cheetah to the time traveled is:
d(t) = 90t
To find how far the cheetah will travel in 25 seconds, we can simply substitute t = 25 into the function:
d(25) = 90(25) = 2250 ft.
Therefore, the cheetah will travel 2250 feet in 25 seconds.
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Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?
Answer:
96/4= $24 dollars per person
Step-by-step explanation:
X is a discrete random variable. It takes the value of the number of days required for a governmental agency to respond to a request for information. X is distributed according to the following PMF: f(x)=e −4
x!
4 x
for X∈{0,1,2…} a. Given this information, what is the probability of a response from the agency in 3 days or less? b. What is the probability the agency response takes more than 10 but less than 13 days? c. What is the probability the agency response takes more than 5 days? d. Suppose using X you generate a new variable, Responsive. Responsive equals 1 if an agency responds in 5 days or less and 0 otherwise. What is the expected value of Responsive? e. What is the variance of Responsive?
A.The probability of a response from the agency in 3 days or less =P(X ≤ 3) = e^(-4)*(1/0! + 4/1! + 4^2/2! + 4^3/3!)
B.The probability that the agency response takes more than 10 but less than 13 days=P(10 < X < 13) = P(X = 11) + P(X = 12).
C,The probability that the agency response takes more than 5 days=P(X > 5) = 1 - (P(X ≤ 0) + P(X ≤ 1) + P(X ≤ 2) + P(X ≤ 3) + P(X ≤ 4) + P(X ≤ 5)),
D.the expected value of the new variable "Responsive,"=E(Responsive) = 1 * P(X ≤ 5) + 0 * P(X > 5)
a. The probability of a response from the agency in 3 days or less can be calculated by summing the individual probabilities for X = 0, 1, 2, and 3:
P(X ≤ 3) = f(0) + f(1) + f(2) + f(3)
Plugging in the given PMF, we have:
P(X ≤ 3) = e^(-4)*(1/0! + 4/1! + 4^2/2! + 4^3/3!)
b. The probability that the agency response takes more than 10 but less than 13 days can be calculated by subtracting the cumulative probability for X = 10 from the cumulative probability for X = 13:
P(10 < X < 13) = P(X = 11) + P(X = 12)
Using the given PMF, we can calculate the probabilities for X = 11 and X = 12 and sum them up.
c. The probability that the agency response takes more than 5 days can be calculated by subtracting the cumulative probability for X = 0, 1, 2, 3, 4, and 5 from 1 (since it's the complement event):
P(X > 5) = 1 - (P(X ≤ 0) + P(X ≤ 1) + P(X ≤ 2) + P(X ≤ 3) + P(X ≤ 4) + P(X ≤ 5))
d. To find the expected value of the new variable "Responsive," we can multiply the values of the variable (1 or 0) by their respective probabilities and sum them up:
E(Responsive) = 1 * P(X ≤ 5) + 0 * P(X > 5)
e. To find the variance of "Responsive," we can use the formula:
Var(Responsive) = E(Responsive^2) - (E(Responsive))^2
where E(Responsive^2) is the expected value of the square of the variable "Responsive." We can calculate it by multiplying the squared values (1 or 0) by their respective probabilities and summing them up.
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the percent yield is calculated as the ratio of the
The percent yield is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100.
Percent yield is a measure of how efficient a chemical reaction or process is in producing the desired product.
The formula for percent yield is:
Percent Yield = (Actual Yield / Theoretical Yield) * 100
The actual yield is the amount of product obtained from the reaction or process, typically measured in grams or moles. It represents the actual amount of product obtained in the laboratory.
The theoretical yield, on the other hand, is the maximum amount of product that can be obtained based on stoichiometry and other factors. It is calculated using balanced chemical equations and the starting amounts of reactants.
By dividing the actual yield by the theoretical yield and multiplying by 100, we get the percent yield, which is expressed as a percentage.
This value provides insight into the efficiency of the reaction or process, with a higher percent yield indicating a more efficient conversion of reactants into products.
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