Answer:
It will take 9 weeks
Step-by-step explanation:
56 + 8x \(\geq \) 123
8x \(\geq \) 67
x \(\geq \) 8.375
The number of computer security breaches is expected to increase at a yearly rate of
86%.
Use the exponential growth model to determine the equivalent monthly rate.
Enter the rate, to the nearest tenth of a percent, in the box.
The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years
Answer:
41,500 people
Step-by-step explanation:
First you find 3% of 36,000= 1,080
Then you do 1080 x 5= 4,500
Then finally do 36,000 + 4,500= 41,500
-26 - 4m = -2(2m + 13)
Answer:
Your answer would equal the same on the other side.
-26-4m=-4m-26
if you minus 26 from both sides youll have -4m on both sides also. So it would equal. So you have an Equaled equation if that makes sense.
Alice is willing to spend $30 on a pair of jeans and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Determine whether this would create a producer or consumer surplus and calculate the ensuing surplus.
Consumer surplus $5 as we solve the Q by given data
Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.
Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
Consumer Surplus = Willingness to Pay - Price of the Good.
Item Price = $35 - $10 = $25
$30 - $25 = $5
Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.
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75% of the sum
of t&a and 7 3 6
-100
a
b
answer in the photo thank me later mate
PLEASE HURRY
Simplify:
6m/m-3 + m/m+1
Simplify
Identify the common factor
{6m/m-3 + m/m+1
(m+1) . (6-3) /(m+1) + (m-3)/ (m+1)
Add fractions with the same denominator together.
terms to put constants on the left and reorder them
Solution
7m^{2}+3m / m^2-2m-3
The answered are 7 3 2 3
What does the algebraic expression M mean?
The slope of a line is represented by the letter "m" in algebra. A line's slope defines both its direction and steepness.
The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers
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Evaluate the function below for x = 2.
F(x) = 2x³-x²-5x+6
OA. 56
OB. 16
OC. 4
O D. 8
Evaluating the function for x=2, F(x)= 8.
What is a linear equation?
Alternatively, a linear equation can be obtained by equating the linear polynomial over the field from which the coefficients are taken to zero.
The solution of such an equation is the value that makes the equation true when the unknowns are substituted.
If there is only one variable, there is only one solution. Often the term linear equation alludes to this special case where the variables are appropriately called unknowns.
With two variables, each solution can be interpreted as the Cartesian coordinates of a point on the Euclidean plane. The solutions of linear equations form lines in the Euclidean plane. Conversely, each line can be viewed as the set of all solutions to linear equations in two variables. This is the origin of the term linear for these types of equations. More generally, the solution of a linear equation in n variables forms a hyperplane (a subspace of dimension n − 1) in the Euclidean space of dimension n.
Therefore, Evaluating the function for x=2, F(x)= 8.
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2. 8.EE.1.2
The volume of a cube is 64 cubic inches.
What is the length of one edge of the cube?
A. 4 inches
B. 8 inches
C. 21 inches
D. 32 inches
Consider the function f(x)=1/x^2
Let Tn be the nth degree Taylor approximation of f(1.02) about x=1
The function f(x) = 1/x^2 is defined for all x except x = 0. To find the nth degree Taylor approximation of f(1.02) about x = 1, we need to calculate the nth derivative of f(x) and evaluate it at x = 1.
The function f(x) = 1/x^2 can be written as f(x) = x^(-2). Taking the derivatives of f(x), we have:
f'(x) = -2x^(-3)
f''(x) = 6x^(-4)
f'''(x) = -24x^(-5)
...
The nth derivative of f(x) can be written as f^n(x) = (-1)^(n+1) * (2n)! * x^(-(n+2)). To find the nth degree Taylor approximation, we evaluate the nth derivative at x = 1 and multiply it by (x - 1)^n/n!. The nth degree Taylor approximation Tn of f(1.02) about x = 1 is given by:
Tn = f(1) + f'(1)(x - 1) + f''(1)(x - 1)^2/2! + f'''(1)(x - 1)^3/3! + ... + f^n(1)(x - 1)^n/n!
Substituting the derivatives at x = 1, we have: Tn = 1 + (-2)(1.02 - 1) + 6(1.02 - 1)^2/2! + (-24)(1.02 - 1)^3/3! + ... + (-1)^(n+1) * (2n)! * (1.02 - 1)^n/n!. This expression represents the nth degree Taylor approximation of f(1.02) about x = 1.
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At a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. How much would it cost to rent a car for 2 days and drive 150 miles?
Answer: $88.90
Step-by-step explanation:
$39.95 x 2 + 0.06 x 150
Pyramid a is a square pyramid with a base side if 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 24 inches and a height of 16 inches.
Pyramid B has a volume that is 8 times the volume of Pyramid A.
How to calculate the volume of a pyramid?The volume of a pyramid is calculated as one third of the multiplication of the base area and the height, as follows:
V = 1/3 x Ab x h.
For a square base of side length s, we have that Ab = s², hence:
V = s²h/3.
Then the volume of Pyramid A is given as follows:
V = 12² x 8/3
V = 384 cubic inches.
The volume of Pyramid B is given as follows:
V = 24² x 16/3
V = 3072 cubic inches.
Then the ratio is given as follows:
3072/384 = 8.
Missing InformationThe problem asks how many times the volume of Pyramid B is greater than the volume of Pyramid A.
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Water is to be pumped from reservoir B to reservoir A with the help of a pump at C. The head of the pump is given as function of flow rate by the manufacturer as: Hpump=20-20Q2. The total length of the pipe is 1 km, the diameter is 0.5 m. Calculate the flow rate and the head at the operating point. (Friction coefficient, f, can be taken as 0.02 if necessary) BA 25 m 00 B Q2: Water is to be pumped from reservoir B to reservoir A with the help of a pump at C. The head of the pump is given as function of flow rate by the manufacturer as: Hpump=20-20Q². The total length of the pipe is 1 km, the diameter is 0.5 m. Calculate the flow rate and the head at the operating point. (Friction coefficient, f, can be taken as 0.02 if necessary) 25 m y
Thee flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.
Reservoir B to reservoir A with the help of a pump at C.Diameter = 0.5 M Length = 1 km
Friction coefficient, f, can be taken as 0.02Hpump = 20 - 20Q².
Total head loss, Hl = (f L (V²))/ 2gd
= [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]
= 0.204V²
According to the Bernoulli equation, the total head at point A and point C must be the same.
(p/ρg) + z + V²/2g = constant(z is elevation)
Pumping head = head loss + head at point A + friction lossHead loss (Hl) = (f L (V²))/ 2gd
According to the given data; we need to calculate the flow rate and the head at the operating point.
The formula to calculate the head loss is:
Hl = [(f L (V²))/ (2gd)]
Flow rate (Q) = [(2 ΔH) / (√(g × π² × d⁵ × Δp))]
Hpump = 20 - 20Q²
Head loss (Hl) = [(f L (V²))/ (2gd)]
Pumping head = head loss + head at point A + friction Loss
Let Q be the flow rate and H be the head at the operating point.So, pumping head = Head loss + Head at point A + Friction loss.
H = Hpump + Ha + Hl
Here, ΔH = H
= Head at point A - Head at point
B = 25 m
= 25000 mm
∆p = Head loss + Pumping head
(Hl + Hpump) = (20 - 20Q²) + 25000 + [(0.02 × 1000 × (V²))/ (2 × 9.81 × 500)]
Also, we know that, Q = A × V
Where,A = (π/4) × d²A
= (π/4) × (0.5)²
= 0.196 m²
So, Q = 0.196 V
We can replace the value of V in equation (1) and get the value of Q.∆p = 25020 + 0.204V² - 20Q² ----------- (1)
Hpump= 20-20Q²
= 20 - 20(Q/2) × (Q/2)
Hpump = 20 - 5Q²
Therefore, Δp = 25020 + 0.204V² - 5Q²
Substitute V = Q / 0.196 in Δp equation.
Δp = 25020 + 0.204 (Q/0.196)² - 5Q²
On differentiating this equation,
we get;0 = 0.204 × (1/0.196) × (Q/0.196) - 10QdΔp / dQ
= 0.204 / 0.196 Q - 10Q
= 1.041Q - 10Q
At equilibrium, dΔp / dQ = 0.
So, 1.041Q - 10Q = 0
=> Q = 0.486 m³/s
The head at the operating point,H = 20 - 20Q²
= 20 - 20 (0.486 / 2) × (0.486 / 2)
= 8.85 m (approx)
Hence, the flow rate is 0.486 m³/s and the head at the operating point is 8.85 m.
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Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
what fraction equals to 4
Answer:
confusing wording... read below ( 12/3 )
Step-by-step explanation:
if you meant adding fractions then the other answer, but if i read it right then 12/3. 12 divided by 3 = 4
Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child?
Hope this helps you with your question.
Which of the following is a solution to the inequality?
m < 25
M = 27
M = 25
M = 30
M = -91
Answer:
M= 25
step by step Explanation:i think this is correct ans if this is correct ans pls give me brainliest.
Which type of triangle is this triangle with length of sides 7 cm 8 cm and 9 cm? (a) Triangle with lengths of sides 7 cm, 8 cm and 9cm. (b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm. (c) PQR such that PQ = QR = PR = 5cm. (d) DEF with D = 90 degrees (e) XYZ with Y = 90 and XY = YZ (f) LMN with L = 30, M = 70 and N = 80.
So, option (a) is the correct answer.
(a) Triangle with lengths of sides 7 cm, 8 cm and 9cm is a right triangle. This is because the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 9^2 = 7^2 + 8^2, which is true, hence the triangle has a right angle.
(b) ABC with AB = 8.7 cm, AC = 7 cm and BC = 6cm can't be determined as it depends on the angles, as the sides are given but the angles are not.
(c) PQR such that PQ = QR = PR = 5cm is an equilateral triangle. This is because in an equilateral triangle all three sides are of equal length.
(d) DEF with D = 90 degrees can't be determined as only the angle is given, we need the length of the sides as well
(e) XYZ with Y = 90 and XY = YZ can't be determined as the angle and the sides are not enough information
(f) LMN with L = 30, M = 70 and N = 80 is not a triangle as the sum of two sides is less than the other side, hence the triangle inequality theorem is violated.
Therefore, Option (a) is the correct answer.
It's worth noting that a triangle can be defined by its three sides as well as by its three angles, but in any case, we need enough information to determine the type of triangle.
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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264 in a ratio of 2 3 1
Answer:
88 : 132 : 44
Step-by-step explanation:
You want 264 divided into parts in the ratio 2 : 3 : 1.
PartsThe ratio units add up to 2+3+1 = 6. So, the part represented by 1 ratio units is 264/6 = 44. The 2 ratio units represent 88, and 3 represent 132.
The division is ...
2 : 3 : 1 = 88 : 132 : 44
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The Values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.
To divide 264 in a ratio of 2:3:1, we need to find the respective parts that correspond to each ratio.
Let's break down the total value of 264 into three parts based on the given ratio of 2:3:1.
Step 1: Find the total number of parts in the ratio
The total number of parts in the ratio 2:3:1 is 2 + 3 + 1 = 6.
Step 2: Calculate the value of each part
To find the value of each part, we divide the total value (264) by the total number of parts (6):
Value of each part = Total value / Total number of parts
= 264 / 6
= 44
Step 3: Determine the value for each ratio component
Now, we can calculate the value for each component of the ratio:
- For the ratio component 2, the value is 2 parts * 44 = 88.
- For the ratio component 3, the value is 3 parts * 44 = 132.
- For the ratio component 1, the value is 1 part * 44 = 44.
Therefore, the values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.
In summary, when dividing 264 in a ratio of 2:3:1, the values corresponding to each ratio component are 88, 132, and 44, respectively.
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In Shawn's class, all the students have pets. Of those pets,1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?
Answer:
2/15
Step-by-step explanation:
You want to know the fraction that is 2/3 of 1/5.
TimesIn this context, "of" means "times."
2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15
2/15 of the pets are alley cats.
a:b is 13:4
c:b is 7:3
what is a:c
Andrews math teacher entered the seventh- grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge each packet of 10 test. The total cost was $151. How many test were purchased?
Answer:
11
Step-by-step explanation:
You would start by subtracting $30 from $151 which is $121.
Then you would divide this by 11 which 121÷11=11
So 11 test were bought.
what is the area of the real object that the scale drawing models?
a. 300 square cm
b. 12 square cm
c. 60 square cm
d. 25 square cm
Answer:
60 square cm
answer c
Step-by-step explanation:
hsjsbsjsbjzbzjsbjzbshzi
Answer:
A 300 square cm
Step-by-step explanation:
EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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What’s the answer ? Please help
Answer:
Step-by-step explanation:
0
Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?
Answer:
it is b :) on edge
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
took the test
ten pounds of mixed birdseed sells for $8.25 per pound. the mixture is obtained from two kinds of birdseed, with one variety priced at $5.61 per pound and the other at $8.91 per pound. how many pounds of each variety of birdseed are used in the mixture?
The 2 pounds of $5.61 per pound birdseed are used in the mixture.10 - 2 = 8 pounds of $8.91 per pound birdseed are used in the mixture.
Answer:2 pounds of $5.61 per pound birdseed are used in the mixture.8 pounds of $8.91 per pound birdseed are used in the mixture.
Given information:Ten pounds of mixed birdseed sells for $8.25 per pound. The mixture is obtained from two kinds of birdseed, with one variety priced at $5.61 per pound and the other at $8.91 per pound.To find:Pounds of each variety of birdseed used in the mixture.Solution:Let 'x' be the number of pounds of the first kind birdseed used in the mixture.
Then, (10 - x) will be the number of pounds of the second kind birdseed used in the mixture.The price of the first kind of birdseed per pound is $5.61.Price of x pounds of the first kind of birdseed = 5.61x dollars.The price of the second kind of birdseed per pound is $8.91.Price of (10 - x) pounds of the second kind of birdseed = 8.91(10 - x) dollars.
The total cost of the mixture = $8.25 per pound × 10 pounds= $82.50 dollars.According to the question,$$5.61x+8.91(10-x)=82.5$$Multiply the numbers inside the brackets by multiplying with the negative sign.
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Simplify:
6x + 2 - x + 2) - 2x
Answer: 5x+4
Step-by-step explanation: add the terms and combine
What is the area of the shape?
Answer:
49
Step-by-step explanation:
Please check the photo.
suppose someone offers max the following gamble: with probability 0.50 he will win $10 and with probability 0.50 he will lose $8. the expected value of this gamble is
The expected value of this gamble is $1.
The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.
The formula for expected value (EV) is as follows:
Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)
Hence, substituting the values:
Expected Value = (0.5 × $10) − (0.5 × $8)
Expected Value = $5 - $4
Expected Value = $1
Therefore, the expected value of this gamble is $1.
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