can someone help me pls for 50 pts
Answer:
62 square units
Step-by-step explanation:
Area = 2(lb+lh+bh)
= 2(3×2+3×5+2×5)
= 62
The solid represented by the net is a rectangular prism.
And, The surface area of the solid is , 62.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The solid represented by the net.
Here, We know that;
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.
Hence, The solid represented by the net is a rectangular prism.
Here, The length of the rectangular prism (l) = 5
The width of the rectangular prism (w) = 2
The height of the rectangular prism (h) = 3
We know that;
The surface area of the rectangular prism = 2 (wl + hl + hw)
Substitute all the values, we get;
The surface area of the rectangular prism = 2 (2×5 + 3×5 + 3×2)
The surface area of the rectangular prism = 2 (10 + 15 + 6)
The surface area of the rectangular prism = 2 × 31
The surface area of the rectangular prism = 62
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convert 0.25 to a fraction in its simplest form
Answer: 1/4 is the answer
Step-by-step explanation: it is 1/4 because 25/100 = 1/4
may i have brainiest plz i have like 1 or something
Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?
The total number of fans is attendance at a Wednesday baseball game was 48,268. The game had 12,568 more fans than the Tuesday game the day before. How many fans attended each game?
The Malelane gate into the Kruger National Park is 392km away from the nut farm. The Toyota Fortuner that was rented uses 7.9l of diesel for every 100km.
2.1.1) How many litres of fuel will the car use to get to the gate? round off to the nearest whole number.
2.1.2) The journey took 5 hours and 14 minutes. Calculate the average speed in km/h.
Fuel used = 392 km * 7.9 liters/100 km = 31.068 liters, average speed = 74.4 km/h.
What do you mean by Speed?It is defined as the distance traveled by an object in a certain amount of time. The unit of speed is usually meters per second (m/s) or kilometers per hour (km/h). Speed is a fundamental concept in physics, as it is a measure of the motion of objects. It is also an important concept in engineering, transportation, and many other fields. The speed of an object can be determined by dividing the distance traveled by the time taken to travel that distance. The magnitude of speed represents the rate of change of position, and the direction indicates the direction of the change.
To find the amount of fuel used to get to the gate, we need to multiply the distance traveled by the fuel consumption per kilometer.
1. Fuel used = 392 km * 7.9 liters/100 km = 31.068 liters. Rounding to the nearest whole number, the answer is 31 liters.
2. To find the average speed, we need to divide the distance traveled by the time taken.
Average speed = 392 km / (5 hours + 14 minutes/60) = 74.4 km/h.
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Will give brainliest to correct answer
An ellipse centered at the origin has a focus of (3./11.0) and a minor axis vertex of (0,15). Find the equation of the
ellipse
A.X?
+
18
= 1
15
B.
x
+ =1
225 99
c.
x
+
225
324
D.
x?
+
324 225
1
Answer:
The answer is b
Step-by-step explanation:
Answer: The answer is B
Step-by-step explanation:
I don't know how to explain it but I am sorry if it is wrong
The probability of a unit falling below the LSL and the probability of a unit being above the USL is the same when the ____ of the distribution is in the middle of the tolerance interval.
The probability of a unit falling below the Lower Specification Limit (LSL) and the probability of a unit being above the Upper Specification Limit (USL) is the same when the mean of the distribution is in the middle of the tolerance interval.
In a manufacturing or quality control context, a tolerance interval represents the acceptable range of values for a certain characteristic of a product. The Lower Specification Limit (LSL) defines the lower end of the acceptable range, while the Upper Specification Limit (USL) defines the upper end.
When the mean of the distribution is in the middle of the tolerance interval, it implies that the distribution is symmetric and centered within the tolerance limits. In this scenario, the distribution is balanced around the mean, and the probability of a unit falling below the LSL is equal to the probability of a unit being above the USL.
This equality in probabilities occurs because the distribution is equally distributed on both sides of the mean. As a result, the proportion of units falling below the LSL is the same as the proportion of units exceeding the USL. This balance indicates that the process is centered within the tolerance limits, which is desirable in manufacturing to ensure that both underperforming and overperforming units are equally unlikely.
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Nell participated in a 3-day charity walk. Sheraised $0.50 for each 1/3 of mile that she walked. Thefirst day, Nell walked 12 miles. The second day, shewalked 8 miles. The third day, she walked 16 miles.How much money did Nell raise?
the Numbers of days = 3
The second statement(She raised $0.50 for each 1/3 of mile that she walked) means
1/3 miles = $0.50
For first day walk we have:
1/3 miles = $0.50
12 miles = 12 x 0.50 x 3 = $18
For Second day walk we have:
1/3 miles = $0.50
8miles = 8 x 0.50 x 3 = $12
For Third day walk we have:
1/3 miles = $0.50
16miles = 16 x 0.50 x 3 = $24
The amount she raised for the three days becomes
$18 + $12 + $24
=$54
The digits from 1 to 6 are arranged to form a six-digit multiple of 5. What is the probability that the number is greater than 500,000
Answer:The probability that the number is greater than 500,000 is 1/3
Step-by-step explanation:
we know that probability can be caluclated by:
probability = no.of favourable events/Total no.of possible outcomes
Given,
Since the number must be the multiple of 5, the last digit should be 5,hence we have to arrange the first 5 digits, which can be done in 6^5 ways as each digit has 6 options.
i.e. no of 6 digit numbers using 1 to6 digits that are multiple of 5 are = 6^5
Now the number must be greater than 500000 and multiple of 5. hence the first digit can either be 5 or 6 and the last digit must be 5. And the remaining 4 digits has 6 options each
i.e. no.of six-digit numbers greater than 500000 and are multiple of 5 = 2*6^4
Probability=2*6^4/6^5 = 1/3
Find the measure of x.
X
12
52°
x = [ ? ] Round to the nearest hundredth.
Triangle
The value of x from the given right triangle is 15.4 units.
From the given right triangle, the legs of right triangle are x units and 12 units.
Here, θ=52°
We know that, tanθ=Opposite/Adjacent
tan52°= x/12
1.2799= x/12
x=1.2799×12
x=15.3588
x≈15.4 units
Therefore, the value of x from the given right triangle is 15.4 units.
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rack heights vary from a few rack units to many rack units. the most common rack heights are 24u and 42u. how tall is a 24u rack?
A 24U rack is approximately 44.5 inches (113.03 cm) tall.
What is Expression in math ?
An expression is made up of one or more integers or variables, as well as one or more operations.
The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.
1U is equal to 1.75 inches (4.45 cm)
so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).
However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.
Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.
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You are choosing between two different cheese wedges at the grocery store. Assume both
wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base
that is 2. 5 in. Wide and a height of 4. 5 in. , with the entire wedge being 3 in thick. The second
wedge has a base that is 3 in, wide and a height of 4 in. , with the entire wedge being 3. 5 in.
thick. Which wedge has a greater volume of cheese, and by how much?
The first wedge by 6. 375 cubic inches
The first wedge by 12. 75 cubic inches
The second wedge by 8. 25 cubic inches
The second wedge by 4. 125 cubic inches
The second wedge has a greater volume by 4.125 cubic inches. Therefore, the correct option is 4.
To determine which cheese wedge has a greater volume, you need to calculate the volume of each triangular prism using the given dimensions.
For the first wedge:
1. Calculate the area of the base (isosceles triangle):
(base x height) / 2 = (2.5 in x 4.5 in) / 2 = 5.625 square inches
2. Calculate the volume of the prism:
base area x thickness = 5.625 sq in x 3 in = 16.875 cubic inches
For the second wedge:
1. Calculate the area of the base (isosceles triangle):
(base x height) / 2 = (3 in x 4 in) / 2 = 6 square inches
2. Calculate the volume of the prism:
base area x thickness = 6 sq in x 3.5 in = 21 cubic inches
To find which wedge has a greater volume and by how much, subtract the smaller volume from the larger volume:
21 cu in - 16.875 cu in = 4.125 cu in.
Therefore, the correct answer is option 4: The second wedge has a greater volume by 4.125 cubic inches.
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Select the correct answer.
Which function is the inverse of ?
Answer:
B. \(f^{-1}(x) = \frac{x + 3}{9}\)
Step-by-step explanation:
\(let \space\ y = f(x)\\\\y = 9x -3\\\)
• Now make x the subject of the equation:
\(9x = y + 3\\\\x = \frac{y + 3}{9} \\\)
• Replace x with f⁻¹(x) and y with x:
\(f^{-1}(x) = \frac{x + 3}{9}\)
Zippy motorcycle manufacturing produces two popular pocket bikes (miniature motorcycles with 49cc engines): the Razor and the Zoomer. In the coming week, the manufacturer wants to produce up to 700 bikes and wants to ensure the number of Razors produced does not exceed the number of Zoomers by more than 300. Each Razor produced and sold results in a profit of $70 while each Zoomer results in a profit of $40. The bikes are identical mechanically and only differ in the appearance of the polymer-based trim around the fuel tank and seat. Each Razor’s trim requires 2 pounds of polymer and 3 hours of production time while each Zoomer requires 1 pound of polymer and 4 hours of production time. Assume that 900 pounds of polymer and 2,400 labor hours are available for production of these items in the coming week.
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. What is the optimal solution?
1. An LP model for this problem is 3R + 4Z ≤ 2400.
2. To sketch the viable zone, we must graph the constraints on a two-dimensional coordinate system.
3. The LP model is solved using an LP solver or one of the many optimization techniques, such as the Simplex Method.
a. Here are the decision variables defined:
R = Amount of manufactured razors
Z = The quantity of Zoomers made
The goal is to maximize overall profit, as stated by:
Profit = 70R + 40Z
Subject to the aforementioned limitations
There should be no more than 700 bikes made in total.
R + Z ≤ 700
There shouldn't be more than 300 created Razors for every 100 Zoomers:
R - Z ≤ 300
The use of polymer should not exceed the 900 pounds of supply that is readily available.
2R + Z ≤ 900
The overall manufacturing time should not exceed the 2400 hours of labor that are readily available:
3R + 4Z ≤ 2400
The quantity of Zoomers and Razors manufactured must not be negative.
R ≥ 0
Z ≥ 0
b. We must graph the restrictions on a two-dimensional coordinate system in order to sketch the viable region.
To solve for Z in terms of R, the restrictions can be rearranged as follows:
R + Z ≤ 700
Z ≤ 700 - R
R - Z ≤ 300
Z ≥ R - 300
2R + Z ≤ 900
Z ≤ 900 - 2R
3R + 4Z ≤ 2400
Z ≤ (2400 - 3R) / 4
Plot these inequality constraints on the coordinate plane while keeping in mind their non-negativity. The area where all of the constraints are met will be referred to as the viable region.
c. In order to identify the best course of action, we must maximize the objective function (Profit) while adhering to every restriction. The values of R and Z that produce the most profit within the realm of possibility will constitute the ideal solution.
This can be done by utilizing an LP solver or one of the many optimization strategies, such as the Simplex Method, to solve the LP model. The R and Z values that maximize the profit will be provided by the ideal solution.
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a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
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A weather reporter states that the P(rain) on a given day is 25%. What is the complement of this probability?
The complement of a probability is the probability of the opposite event occurring. In this case, if the probability of rain on a given day is 25%, then the complement probability would be the probability of no rain on that day, which is 75%. This means that there is a 75% chance that it will not rain on the given day.
A weather reporter states that the probability (P) of rain on a given day is 25%. To find the complement of this probability, we need to determine the likelihood of it not raining on that day. The complement of a probability is the probability of the event not occurring, and it is calculated as 1 minus the probability of the event occurring. In this case, the complement of the 25% chance of rain (P(rain)) is:
Complement = 1 - P(rain) = 1 - 0.25 = 0.75 or 75%
So, the complement of the 25% probability of rain is a 75% probability that it will not rain on the given day.
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Please help me. I can’t do it
Answer: A) -8
B) - 41
C) - 39
Step-by-step explanation:
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
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HELPP HELPPP PLEASEEE
the table shows the result of a survey asking 48 students what type if pet they prefer.
if one student in the survey Is selected at random, what is the probability the student will prefer cat or dog?
Answer:
12/5
Step-by-step explanation:
The total number of students divided by the number of students who prefer dogs.
Mathematically:
48/20
=12/5
Therefore, that's the probability
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
C = 32π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 16 = 32π units
help pls I'm not smart enough for this..
Answer:
y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3Step-by-step explanation:
Number replaces with each corresponding value.
The number on the left is the x, and the number on the right of the colon is y.
Simply replace x and if you get the y, it is a match.
y = 1/2(2) = 1
y = 5(1) = 5
y = 1.5(16) = 16
y = 3(1) = 3
Assume there are 4 collector cards with one card inside every box of cereal you buy. Each card has a probability of 1/4 of being inside your box. What's the probability you get the complete set of cards on Box 5? Go from left to right as in accordance to time. 4.3 2 3/ 6 mar
The probability of getting the complete set of cards in Box 5 is 3/64.
To calculate the probability of getting the complete set of cards in Box 5, we have to consider the probability of getting each of the 4 cards in the previous 4 boxes.
For the first box,
The probability of getting any one of the 4 cards is 1,
since there are no previous boxes to consider.
For the second box,
The probability of getting a card that is not already in our possession is 3/4 (since there is one card already collected).
For the third box,
The probability of getting a card that is not already in our possession is 2/4 (since there are now two cards already collected).
For the fourth box,
The probability of getting a card that is not already in our possession is 1/4 (since there are now three cards already collected).
Multiplying these probabilities together, we get,
⇒ 1 x 3/4 x 2/4 x 1/4 = 3/64
So the probability of getting the complete set of cards in Box 5 is 3/64.
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The approximation of which irrational number is shown by point R on the number line?
Answer:
B it is very simple my friend
Step-by-step explanation:
3.75 × 3.75 = 14.0
The approximation of which irrational number is shown by point R on the number line would be; √14.
What is estimation?It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.
We have been given a number line with point marked as QRST.
We need to find the point R on the number line.
It can be seen that the point R lies in between the number 3.5 and 4.
The Square root of 4 is 2.
Also we know that 3.75 × 3.75 = 14.0
The Square root of 14 is 3.75 .
Hence, the approximation of which irrational number is shown by point R on the number line would be; √14.
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Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week.
Let's break down the information provided:
First week: Luke lost x pounds.
Second week: He lost pounds less than t times the pounds he lost in the first week. This can be expressed as x - (t * x) = x(1 - t) pounds.
Third week: He lost 1 pound more than s times the pounds he lost in the first week. This can be expressed as x + (s * x) + 1 = x(1 + s) + 1 pounds.
To summarize:
First week: x pounds
Second week: x(1 - t) pounds
Third week: x(1 + s) + 1 pounds
Please note that 't' and 's' represent multiplication factors for the weight loss in the second and third weeks, respectively.
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Which of the following functions is graphed below?
Answer:
It is a quadratic funcion with vertex in (4,0)
Step-by-step explanation:
what is the sum of 9.72 × 108 and 1.93 × 107
a. 9.913 × 107
b. 9.913 × 108
c. 1.165 × 108
d. 1.165 × 109
Answer:
9.913 × 108
Step-by-step explanation:
2) A recycling center was offering cash for different types of recyclables. For each pound of
paper recycled they offered $0.03, for each pound of aluminum they offered $1.32 and for
each pound of plastic they offered $0.07. Jerry took in 10 pounds of paper, 8 pounds of
aluminum and 7 pounds of plastic. How much money did he earn?
Answer:
= $31.98
Step-by-step explanation:
Please helppp! 6th math
What % of 440 is 286?
Answer:
65
Step-by-step explanation:
Hope it helps!!!
Answer:
286 is 65 % of 440
Step-by-step explanation:
line up your numbers with your procentage and cross multiply:
440 represents 100%
286 represents ? %
? *440=286 *100 divide both sides by 440
?= 286*100/440=65
Find an equation of the plane orthogonal to the line
(x, y, z) = (9, 5, 7) + t (-2, -4, 4)
which passes through the point (5, 7, 9).
Write the equation in the form ax + by + cz = d.
The equation of the plane orthogonal to the line (x, y, z) = (9, 5, 7) + t(-2, -4, 4) and passing through the point (5, 7, 9) can be written as -2x - 4y + 4z = 36.
To find the equation of a plane orthogonal (perpendicular) to a line, we need a direction vector of the line and a point that lies on the plane. In this case, the given line has a direction vector of (-2, -4, 4) and passes through the point (9, 5, 7).
We can start by finding a normal vector to the plane by taking the cross product of the direction vector of the line and a vector formed by subtracting the given point (5, 7, 9) from any point on the line (9, 5, 7). The cross product of (-2, -4, 4) and (4, 2, 2) gives us a normal vector of (4, 0, 0).
Using the normal vector (4, 0, 0) and the coordinates of the point (5, 7, 9), we can write the equation of the plane in the form ax + by + cz = d. Plugging in the values, we get -2x - 4y + 4z = 36.
Therefore, the equation of the plane orthogonal to the given line and passing through the point (5, 7, 9) is -2x - 4y + 4z = 36.
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which is the smallest measurement used in the apothecary system for volume? a. apothecary b. metric c. minim d. household.
The smallest measurement used in the apothecary system for volume is the minim.
The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.
In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.
The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.
However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.
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