We have the two equations
\(\begin{gathered} y=x+4 \\ x=-5 \end{gathered}\)To solve the systems of equation by graphing, we will plot the two lines on the same graph and then find the point of intersection
The solution is the graph below
From the graph given, the point of intersection is the solution, and it is found to be
\(\begin{gathered} (-5,-1) \\ x=-5 \\ y=-1 \end{gathered}\)Find the missing number. ÷ 4 = 300
Answer:
1200
Step-by-step explanation:
4 x 300= 1200
Recheck your problem after you think you have found the soulution
1200 ÷ 4 = 300
Hope this helps :)
the length and width of a rectangular soccer field can be representedby 5x - y and x 3y. find the polynomial expression that represents thearea of the soccer field. write your answer in descending order. please use the palette below to enter your answer.
the polynomial expression that represents the area of the soccer field is
5x^2 -16xy +3y^2
given length of a rectangular soccer is 5x -y
and width of a rectangular soccer is x- 3y
find the polynomial expression that represents the area of the soccer field.
we know that the formula for the area of a rectangle is
area= length * width
=( 5x-y)*( x-3y)
= 5x^2 -15xy-xy +3y^2
= 5x^2 -16xy +3y^2
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A freight forwarder has a weekly consolidated service Mumbai - Marsellle, with direct costs as follows: Ocean freight: US \( \$ 1,250.00 / 40-\mathrm{ft} \) standard container. Container loading in Mu
The correct answers are: 1. Total revenue for this consolidation: $750,000.00. 2. Total costs for this consolidation: $201,162.22. 3. Profit/loss on this consolidation: $548,837.78.
To calculate the total revenue, costs, and profit/loss for the consolidation, we need to break down the given information and perform the necessary calculations. Let's go step by step:
1. Calculate the total revenue:
The cargo is charged based on revenue tons, so we need to convert the volume of cargo loaded (30 m³) and the weight (20,000 kg) into revenue tons.
- Volume: 30 m³
To determine the revenue tons, we'll assume the cargo is loaded to its maximum capacity of 40 m³ in a 40-ft standard container. We can calculate the revenue tons using the formula: Revenue Tons = (Volume Loaded / Maximum Volume) * Weight
Revenue Tons = (30 m³ / 40 m³) * 20,000 kg
Revenue Tons = 0.75 * 20,000 kg = 15,000 kg
- Weight: 20,000 kg
Since the weight is already in kilograms, we can directly use this value.
Now, we can calculate the total revenue:
Total Revenue = Revenue Tons * Selling Rate per Revenue Ton
Total Revenue = 15,000 kg * $50.00/kg (assuming the selling rate is $50.00 per revenue ton)
Total Revenue = $750,000.00
Therefore, the total revenue for this consolidation is $750,000.00.
2. Calculate the total costs:
We need to consider the costs of ocean freight, container loading in Mumbai, and Marseille unloading.
- Ocean Freight:
The cost of ocean freight per 40-ft standard container is given as $1,250.00.
Since the cargo loaded is less than the maximum capacity, we'll consider only a fraction of the cost based on the loaded volume:
Ocean Freight Cost = (Volume Loaded / Maximum Volume) * Ocean Freight Cost per Container
Ocean Freight Cost = (30 m³ / 40 m³) * $1,250.00
Ocean Freight Cost = 0.75 * $1,250.00 = $937.50
- Container Loading in Mumbai:
The cost of container loading in Mumbai is given as $10.00 per revenue ton.
Container Loading Cost = Weight * Cost per Revenue Ton
Container Loading Cost = 20,000 kg * $10.00/kg = $200,000.00
- Marseille Unloading:
The cost of Marseille unloading is €10.00 per revenue ton, but we need to convert it to USD using the given exchange rate.
Exchange Rate = €1.00 = $1.06
Marseille Unloading Cost = (Weight / 1,000) * Cost per Revenue Ton * Exchange Rate
Marseille Unloading Cost = (20,000 kg / 1,000) * €10.00/kg * $1.06/€
Marseille Unloading Cost = 20 * €10.00 * $1.06 = €212.00
Converting to USD: €212.00 * $1.06 = $224.72
Now, we can calculate the total costs:
Total Costs = Ocean Freight Cost + Container Loading Cost + Marseille Unloading Cost
Total Costs = $937.50 + $200,000.00 + $224.72
Total Costs = $201,162.22
Therefore, the total costs for this consolidation amount to $201,162.22.
3. Calculate the profit/loss:
Profit/Loss = Total Revenue - Total Costs
Profit/Loss = $750,000.00 - $201,162.22
Profit/Loss = $548,837.78
Therefore, the profit/loss on this consolidation is $548,837.78.
Note: The complete question is:
A freight forwarder has a weekly consolidated service Mumbai - Marseille, with direct costs as follows:
Ocean freight: US $1,250.00/40-ft standard container.
Container loading in Mumbai: US $10.00 per revenue ton.
Marseille unloading: €10.00 per revenue ton.
Exchange rate is = €1.00 US $1.06.
From past experience, the marketing department has determined that they need to load 40 m³ of cargo in a 40-ft standard container to break even and be able to sell to their customers an all-inclusive rate of US $50.00 per revenue ton.
Based on the above shipment details, answer the following scenario: Last week they loaded 30 m³, 20000 kg in their consolidation.
1: What was their total revenue for this consolidation? Select one answer.
2: what were their total costs for this consolidation?
3: what was the profit /loss on this consolidation?
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How to solve x^4 -10x^2 +9
Answer:
(x² - 9)(x² - 1)
Step-by-step explanation:
Using Quadratic trinomials
Factor x⁴ - 10x² + 9
Step 1: Find the two integers whose product of 9 and whose sum of -10
Product
-9 × -1 = 9
Sum
-9 + -1 = -10
Step 2: Use -1 and -9 to complete the factors
x⁴ - 10x² + 9 = (x² - 9)(x² - 1)
Step 3: Use the foil method to check the factors
(x² - 9)(x² - 1) = x⁴ - 1x² - 9x² + 9 = x⁴ - 10x² + 9
im so emmbarased im 15 n dk this but pls help.... rlly fast
Help Plz
WIll mark brainliest
Answer:
y=+|x-3|
Step-by-step explanation:
We know it is positive because it is expanding upward. So +. We know it is x-3 because if it is inside the absolute value signs, the constant(-3 in this case) is opposite. So it is 3. And 3 matches with the vertex of the graph. And the ending is 0, so I omitted it bc its still on the x intercept, meaning it has a y value of 0.
Answer:
fam good luck
Step-by-step explanation:
convert 500 minutes to hours
Answer:
8.33
Step-by-step explanation:
1hr=60 minutes
?hr = 500 minutes
To find how many hours, divide 500 by 60
500/60 = 8.33
500 minutes = 8.33 hours
Factor each polynomial. 20 points
5a^2b^2 + 10ab +25a
8m^2n^2 - 24mn^3 +16mn
9xz^3 + 18yz^2 + 24z^2
16x^6y + 16x^2y^4 + 32x^3y^2
So, here we are to factor the polynomials :
\(\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\\)
\( \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\\)
\(\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\\)
\( \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\\)
\(\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\\)
\(\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\\)
\(\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\\)
\( \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\\)
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expression.A school carnival sold 8 early-admission tickets and 17 regular tickets. What percentage of
the tickets sold were early-admission tickets?
Answer:
47%
Step-by-step explanation:
early / total
8 / 17
= .470588235
.4705 times 100 = 47.05% rounds to 47%
Alexis has an internship in Indianapolis for the summer. Each weekend, she decides to visit a new coffee shop. She likes each new coffee shop with probability 0.4, independent of all the other shops she visits. Alexis has liked 2 of the coffee shops so far, and she has visited 4. Let Z be a random variable representing the number of coffee shops that Alexis must visit until she likes 3 coffee shops. Then, is it true that PIZ >7 | Z > 4} = P[Z>3)? )Yes, because of the definition of conditional probability. )Yes, because Alexis's visits to each coffee shop are independent. O Yes, because of the memoryless property. No.
By comparing PIZ > 7 | Z > 4 and P[Z > 3], we can see that they are not equal. The probabilities involve different terms and are calculated based on different conditions. Therefore, the statement "PIZ > 7 | Z > 4 = P[Z > 3]" is not true.
Let's calculate the probabilities involved in the question.
PIZ > 7 | Z > 4 is the probability that Z is greater than 7, given that Z is greater than 4.
P[Z > 3] is the probability that Z is greater than 3.
To calculate these probabilities, we need to understand the distribution of Z. Z represents the number of coffee shops Alexis must visit until she likes 3 coffee shops. Each visit to a coffee shop is an independent event with a probability of 0.4 of liking the shop.
To calculate the probabilities, we can use the geometric distribution, which models the number of trials needed to achieve the first success. In this case, the first success is Alexis liking a coffee shop.
The probability mass function (PMF) of the geometric distribution is given by:
P(X = k) = (1 - p)^(k-1) * p
Where:
- X is the random variable representing the number of trials needed until the first success.
- k is the number of trials needed.
- p is the probability of success.
In our case, we want to find the probabilities PIZ > 7 | Z > 4 and P[Z > 3]. Let's calculate these probabilities using the geometric distribution.
P[Z > 3] = P(Z = 4) + P(Z = 5) + P(Z = 6) + ...
We can calculate the individual probabilities:
P(Z = 4) = (1 - 0.4)^(4-1) * 0.4 = 0.144
P(Z = 5) = (1 - 0.4)^(5-1) * 0.4 = 0.0864
P(Z = 6) = (1 - 0.4)^(6-1) * 0.4 = 0.05184
...
Summing up these probabilities, we find:
P[Z > 3] = 0.144 + 0.0864 + 0.05184 + ...
To calculate PIZ > 7 | Z > 4, we need to consider the conditional probability. Given that Z > 4, we only consider the probabilities starting from Z = 5:
PIZ > 7 | Z > 4 = P(Z = 5) + P(Z = 6) + P(Z = 7) + ...
To find these probabilities, we can use the same formula as before:
P(Z = 5) = (1 - 0.4)^(5-1) * 0.4 = 0.0864
P(Z = 6) = (1 - 0.4)^(6-1) * 0.4 = 0.05184
P(Z = 7) = (1 - 0.4)^(7-1) * 0.4 = 0.031104
...
Summing up these probabilities, we find:
PIZ > 7 | Z > 4 = 0.0864 + 0.05184 + 0.031104 + ...
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Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D
Answer:
29 times
Step-by-step explanation:
Given :
Society C ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society D:
Population = 19
Common fact = 5
Specialized fact = 5 * 10 = 50
Total facts = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society D is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
9
Which term best describes the two substances that react to
form salt?
A
Delicious
B
Nutritious
C
Edible
D
Toxic
answer
Toxic or harmful best describes two substances that react to form salt
Can anyone give me the answer for X? Plz
Answer:
x=12
Step-by-step explanation:
Since the triangles are congruent, you can set each equation equal to each other and solve to find x:
11x-70=5x+2
6x-70=2
6x=72
x=12
I hope this helped!
since r is so widely used, it is appropriate to calculate r for nonlinear data.true/false
since r is so widely used, it is appropriate to calculate r for nonlinear data: False.
The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.
In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.
n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.
When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.
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Help! 100 points to correct!
Answer:
B is correct
Step-by-step explanation:
adding the amount taken away and then subtracting it is the same as subtracting twice
Answer:
either b or c
Step-by-step explanation:
ANSWER THE QUSTION FOR 25 POINTS
Answer:
D) 4th one is the correct answer.
Step-by-step explanation:
original, question line : 4/5 then it can be converted to percentage 4/5 * 100 = 80%
a) 2/3 * 100 = 200/3
b) 5/8 * 100 = 62.5%
c) 10/12 * 100 = 250/3 %
d) 8/10 * 100 = 80% ..this matches with the required first line and applicable.
∵ 4th one is correct according to steps. : D
Which set of values makes the inequality below true?
n≥ -5
80 points for this :)
Answer:
Im sorry but there is no picture.
I'll try tho-
-5 is either less or equal to(making the cirlce open) n. It means that the line will point to the left. :)
- Alie♥
N is equal to or greater than -5 so any number from -5 or greater makes this true.
The answer would be written as [-5, infinity).
Sorry my phone doesn’t have the infinity symbol.
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
Step-by-step explanation:
Orbit = 2*pi * r
r = 65000000 km
Orbit = 65000000 * 2 * 3.14
Orbit = 406 200 000 km
d = 406 200 000
s = speed = 65000 km / hr
t = time = d / s
t = 406,000,000 / 65000
t = 6280 hours.
1 day = 24 hours.
t = 6280 / 24 = 261.67 days
lgebra 2 Module 4 Topic A Quiz
In a chance experiment, a spinner with four equally sized sectors labeled 1. 2. 3, and 4 is spun, and a card is drawn at random from a stack consisting of
one blue card and two red cards, as shown.
Blue
Event
Red
Match each event described to its list of outcomes and its probability.
Red
HELP CENTER?
CAVESIDENTS
List of Outcomes
Probability
Qu
Qu
Qu
Que
The probability of not getting a 4 is 0.75.
Given is a spinner spins with having fours numbers on it,
We need to find the probability of not having a 4,
So, the probability of not event = 1-P(E)
Also the list of outcomes = 1, 2, 3, 4
Therefore, here,
The probability of getting 4 = 1/4 = 0.25
Therefore the probability of not getting a 4 = 1-1/4 = 3/4 = 0.75
Hence the probability of not getting a 4 is 0.75.
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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
The slope is the rate at which the pool is being filled.
A slope of 2 means a filling rate of 2 inches per minute.
Answer: The height of the water increases 2 inches per minute.
Please help, question is in picture. I’m so confused.
Answer:
The answer on the picture
30.1 to 1d.p
8. There are 9 girls and 6 boys in a classroom. Of
these students, 1 girl and 2 boys write left-handed.
What percentage of the students write left-
handed? (6.5B)
I
Answer:
20%
Step-by-step explanation:
9 Girls + 6 Boys = 15 Students.
15 = 100%
1 Girl + 2 Boys = 3 Students.
3 = ?%
(3×100)/15= 20%
Evaluate the expression when a=7 and x=-6.
-a + 8x
Marking brainliest
Answer:
-a + 7x
-7 + 7(-6)
-7 + (-42)
-7-42
= -49
Step-by-step explanation:
Answer:
-55
Step-by-step explanation:
-a+8x
=-7+8*(-6)
=-55
Mark me as brainliest
A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/ sec.
a. How fast is the top of the ladder sliding down the wall then?
b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then?
c. At what rate is the angle between the ladder and the ground changing then?
The top of the ladder is sliding down the wall at a rate of 60/13 ft/sec, The area of the triangle is changing at a rate of -35/12 ft^2/sec and The angle between the ladder and the ground is changing at a rate of approximately -4.73 degrees/sec.
Let's denote the distance from the base of the ladder to the house by \($x$\) and the height of the ladder on the wall by \($y$\).
a. We can use the Pythagorean Theorem to relate \($x$\) and \($y$\). Then, taking the derivative of both sides with respect to time, we have:
\($\frac{d}{dt}(x^2+y^2)=\frac{d}{dt}(13^2)$\)
\($2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$\)
We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dy}{dt}$\) when
\($x=12$\) ft. We also know that
\($y=\sqrt{13^2-x^2}$\), so \($\frac{dy}{dx}=-\frac{x}{\sqrt{13^2-x^2}}$\).
Using the chain rule, we have:
\($\frac{dy}{dt}=\frac{dy}{dx}\frac{dx}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec
b. The area \($A$\) of the triangle formed by the ladder, wall, and ground is given by:
\($A=\frac{1}{2}xy$\)
Taking the derivative of both sides with respect to time, we have:
\($\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$\)
We know that \($\frac{dx}{dt}=5$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{dA}{dt}$\) when \($x=12$\) ft and \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec. Plugging in the values, we get:
\($\frac{dA}{dt}=-\frac{36}{\sqrt{119}}$\) sq ft/sec
c. The angle \($\theta$\) between the ladder and the ground is given by:
\($\sin\theta=\frac{y}{13}$\)
Taking the derivative of both sides with respect to time, we have:
\($\cos\theta\frac{d\theta}{dt}=\frac{1}{13}\frac{dy}{dt}$\)
We know that \($\frac{dy}{dt}=-\frac{12}{5\sqrt{119}}$\) ft/sec when \($x=12$\) ft, and we want to find \($\frac{d\theta}{dt}$\) when \($x=12$\) ft. We can use the Pythagorean Theorem again to find \($\cos\theta$\) when\($x=12$\) ft and \($y=\sqrt{13^2-x^2}$\). Then, plugging in the values, we get:
\($\frac{d\theta}{dt}=-\frac{12\sqrt{6}}{65}$\) rad/sec
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If a rocket travels at 30km/s then the distance traveled by it in one hour is _____ A. 1800 km B.1080 km C.108000 km D. 500 km
Answer: C
Step-by-step explanation:
30 km/s x 60 = 1800 (1 minute)
1800 x 60 = 10800 (1 hour)
Answer:
C. 108,000 km
Step-by-step explanation:
use distance = velocity x time
30 km x 3600 sec x 1 hr
sec 1 hr
= 108,000 km
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP
Answer:
C & D because vertical angles have the same measures and thoses angles intersects each other
Step-by-step explanation:
Tell whether the angle measures can be those of a triangle.
20°, 160°, 20°
Yes, can be those of a triangle.
No, cannot be those of a triangle.
No.
The 3 angles of a triangle need to equal 180 degrees.
The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.
The roof of a house is to extend up 13. 5
feet above the ceiling, which is 36 feet
across, forming an isosceles triangle. Find
the length of one side of the roof.
To find the length of one side of the roof, we can use the concept of an isosceles triangle. Since the triangle is isosceles, two sides have the same length, while the third side represents the extension of the roof.
To calculate the length of one side, we can use the Pythagorean theorem. The height of the triangle is given as 13.5 feet, and the base is given as 36 feet. The two equal sides, which represent the length of the roof, can be denoted as "x." Using the Pythagorean theorem, we can solve for "x" by applying the formula: x^2 + (36/2)^2 = 13.5^2. By solving this equation, we can determine the length of one side of the roof.
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In this scenario, what is the test statistic? A business journal tests the claim that the percent of small businesses that patent products is greater than 49%. Sample size =30 small businesses Sample proportion =0.60 Calculate the test statistic using the formula: z0=p′−p0/sqrt{p0⋅(1−p0)\n} p′ = sample proportion, n = sample size, and p0 = population proportion under the null hypothesis Round your answer to 2 decimal places.
The test statistic is approximately 1.22, rounded to two decimal places.
The test statistic measures the deviation of the sample proportion from the population proportion under the null hypothesis and helps determine the statistical significance of the claim.
To calculate the test statistic, we use the formula:
z0 = (p′ - p0) / sqrt(p0 * (1 - p0) / n)
Where:
p′ = sample proportion = 0.60
p0 = population proportion under the null hypothesis = 0.49
n = sample size = 30
Plugging in the values, we have:
z0 = (0.60 - 0.49) / sqrt(0.49 * (1 - 0.49) / 30)
Calculating the expression within the square root:
sqrt(0.49 * (1 - 0.49) / 30) ≈ 0.090
Substituting back into the formula:
z0 = (0.60 - 0.49) / 0.090 ≈ 1.22
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Combine like terms to write the expression in standard form (−r +s) + (s − r)
First we clear brackets
-r+s+s-r
Second we collect like terms
-r-r+s+s
then we add it
-2r +2s
if we read the question it says standard form so we out the G.C.F of the
expression
2(-r+s)