As per the given measurement , the area of the paper on the bottom of the cage 2736 square inches.
The formula to calculate the volume of the prism is written as
V = l x w x h
Where l refers the length , w refers the width and h refers the height.
Here we have know that the height of 24 inches and a volume of 6,480 cubic inches.
Now we have to apply the values on the formula in order to get the width of the cage,
=> 6480 = w x 24 x 12
=> w = 6480/288
=> W = 22.5
Therefore, the area of the bottom of the cage is calculated as,
=> A = 2[(24 x 22.5) + (24 x 12) + (22.5 x 24)]
When we simplify this one then we get the value of the area as,
=> A = 2736 square inches.
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Determine the slope and point for the given equation. y−4=2/5(x+3)
Answer:
The slope: 2/5
The point is on the graph below
Step-by-step explanation:
y−4=2/5(x+3)
y - 4 = 2/5x + 3
y = 2/5x + 7
The equation is y = mx + b
m = the slope
m = 2/5
Answer:
[tex]point=(-3,4)\\\\slope=\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]y-y_0=m(x-x_0)[/tex]
[tex]y_o:y-point\\x_o:x-point\\m=slope[/tex]
[tex]y-4=\frac{2}{5}(x+3) \\\\y_0=4\\x_0=-3\\\\slope=\frac{2}{5}[/tex]
I want to be done w school so if you could help a girl out :) WITHOUT GUESSING would be great
We can see here that assuming is solving a linear system and in the process of solving it, the person gets a final statement of 5 = 0, the true statement will be: D. None of these statements are true.
What is a linear system?A linear system is a set of one or more linear equations involving the same variables. The goal is to find the values of the variables that simultaneously satisfy all the equations in the system.
A linear equation of the form 5 = 0 has no solutions, since 5 is not equal to 0. In this case, if you graph the equation on a coordinate plane, it will be a straight line with no points on the line satisfying the equation.
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Salt Water Solution
One solution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water?
The amount of each solution that should be mixed together to obtain the desired target solution is;
160 quarts of the solution that contains 3 parts salt to 5 parts water
120 quarts of the solution that contains 2 parts salt to 8 parts water
How to solve Algebra Word Problems?The parameters are;
Solution A contains 2 parts salt to 8 parts water
Solution B contains 3 parts salt to 5 parts water
Target Mixture contains 3 parts salt to 7 parts water:
Expressing the salt concentration in decimal form;
Solution A: 2/(2 + 8) = 2/10
= 0.20 salt
Solution B: 3/(3 + 5) = 3/8
= 0.375 salt
Mixed Solution: s/(3 + 7) = 3/10
= 0.30 salt
Since target mixture is 280 quarts;
If the amount of 0.375 salt present in mixed solution is denoted by x
Then, the amount of 0.20 salt is expressed as;
y = 280 – x
Using a general mixture equation, we will have;
0.375x + 0.20(280 - x) = 0.30(280)
0.375x + 56 - 0.20x = 84
Subtract 56 from both sides of the equation
0.375x - 0.20x + 56 – 56 = 84 – 56
0.375x - 0.20x = 28
0.175x = 28
Divide both sides of the equation by 0.175
0.175x/0.175 = 28/0.175
x = 160
Thus;
y = 280 – x
y = 280 – 160
y = 120
Therefore,
x = 160 quarts of the solution that contains 3 parts salt to 5 parts water
y = 120 quarts of the solution that contains 2 parts salt to 8 parts water
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Work out the bearing d from a
Answer:
Below in bold.
Step-by-step explanation:
m < DAC = 360 -15 - 155 - 166
= 24⁰
The bearing of D from A
= 180 + 15 + 24
= 219⁰
or S 39⁰ W.
how much f(x) if f(2x-3)=3x-4
Photo is answer
I need step by step
Thank you
Answer
a=3/2
b=1/2
Step-by-step explanation:
let f(x)=ax+b
f(2x-3)=a(2x-3)+b
f(2x-3)=2ax-3a+b
3x-4=2ax-3a+b
3x=2ax
3=2a
a=3/2
b-3a=-4
b-3(3/2)=-4
b=1/2
The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. Find the rate of change of volume with respect to R.
The rate of change of volume with respect to R is 4πR².
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.
The volume of the sphere is:
V = (4π/3)(R³)
Differentiating volume with respect to radius gives:
dV/dR = (4π/3)× (3R²) = 4πR²
Thus, the rate of change of volume with respect to R is 4πR².
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The triangles below are similar. What is the area of the larger triangle? PLS HELP
A piece of a cow’s leg bone with a volume of 10 cm3 has a mass of 18 g. What is the density of the bone please answer
Answer:
Step-by-step explanation:
Density is a measure of how much mass is contained in a given volume. It is calculated by dividing the mass of an object by its volume.
To find the density of the cow's leg bone, we can use the following formula:
Density = mass / volume
In this case, the mass of the bone is 18 g, and the volume is 10 cm3. So we can plug in these values into the formula:
Density = 18 g / 10 cm3
The density of the bone is 1.8 g/cm3.
It's important to note that this is the density of the bone, but it's not the same density as a whole cow. Also, density can also change depending on the bone and the species.
Why is 1 a prime factor?
One is not considered a prime factor.
One has only a single element, which is itself, hence it is not regarded as a prime number. A prime number is a positive integer greater than 1 with just itself and the number one as its other positive divisors. Since there is only one divisor of one, one is not regarded as a prime number. Additionally, 1 does not adhere to the conventional characteristics of prime numbers and is regarded as a unit in mathematics.
For instance, a number's value is unaffected by division or multiplication by one, and it is always one when raised to any power. Since one does not meet the criteria for primes and does not share their characteristics, it is likewise excluded from the set of prime numbers.
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how many meters can you swim in a minute
An average swimmer covers a distance of 1 / 30 miles in a minute, while an Olympic swimmer covers a distance of 1 / 10 miles.
How to determine the distance covered by a swimmer in a minute
This is a classic example of an open question, since there are answers as many as possible assumptions. In this case, answer change if swimmer's speed is changed. We shall consider two cases: (i) Average swimmer (v = 2 miles per hour), (ii) Olympic swimmer (v = 6 miles per hour).
Under the assumption of uniform motion, distance (s), in miles, is the product of speed (v), in miles per hour, and time (t), in hours (please notice that an hour is equal to 60 minutes):
s = v · t
Average swimmer (v = 2 mi / h, t = 1 / 60 h)
s = 2 · (1 / 60)
s = 2 / 60
s = 1 / 30 mi
Olympic swimmer (v = 6 mi / h, t = 1 / 60 h)
s = 6 · (1 / 60)
s = 6 / 60 mi
s = 1 / 10 mi
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What is the period of the function f(x)=cos10x?
ANSWER CHOICES
A: 1/5
B: π /5
C: 5π
D: 10
Answer:
π /5
Step-by-step explanation:
Use the form a * cos(bx−c) + d
I need this really quickly!!!
3a − 7 = −4b + 1
rearrange the equation so that a is the independent variable.
Answer:
Step-by-step explanation:
3a-7=-4b+1
3a=-4b+1-7
simplify:
3a=-4b-6
divide by 3:
a=-4b-6/3
at horados matching company it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order. Write an expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order
The expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order is 2x+10y = x
How to determine the expression?The statement states that it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order.
Also, it is stated that there are x parts in an order
This implies that 2(x) + 10(y) = x
Opening the brackets to have
2x + 10y = x
This is to say that 2 minutes of manufacture and 10 minutes of packing will give all the parts.
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Colin has drawn a bar chart to show the results from a survey about students'
favourite types of music. You are marking his work.
Which three things from the list could he do to improve the bar chart?
Use a ruler
Label the axes
Put the title at the bottom
Draw the bars with equal widths
Put no gaps between the bars
Make all the bars the same colour
The title is explains what the graph is about. Scale: The scale is the numbers that show the units used on the bar graph. Labels: Both the side and the bottom of the bar graph have a label that tells what kind of data is shown.
Which three things from the list could he do to improve the bar chart?Bar charts usually present categorical variables, discrete variables or continuous variables grouped in class intervals. They consist of an axis and a series of labelled horizontal or vertical bars. The bars depict frequencies of different values of a variable or simply the different values themselves.Move toward sustainable bartending. Encourage zero-step bartending. Organize bar materials well. Find equipment that enhances the experience and your efficiency.Show the data clearly. Showing the data clearly includes ensuring the data points can be seen but also providing meaningful text on the graph itself. Use simplicity in design of the graph. Use alignment on a common scale. Keep the visual encoding transparent. Use standard forms that work.To know more about chart visit:
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A 20 Oz alloy of platinum that costs S220 per once is mixed with an alloy that costs S400 per once. How many ounces of the S400 allow should be used to make an alloy that costs S300 per once? Please explain your equation and show work!
Answer:
16 ounces of $400 alloy
Step-by-step explanation:
Which expression should you simplify to find the 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65?
The expression for a 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65 is B. [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We know the confidence interval for a population proportion is given by the formula [tex]p\pm{Z_\frac{\alpha}{2}}\sqrt{\frac{p(1 -p)}{n}[/tex], where p = population proportion,
n = The number of samples and [tex]Z_\frac{\alpha}{2}[/tex] is the area value corresponding to the context.
Given, The 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65.
We know at 90% confidence interval [tex]Z_\frac{\alpha}{2}[/tex] = 1.645.
Therefore it should be [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].
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If the legs of a right trangle are 2 and 3 inches long can the hypotenuse be 4 inches long
Answer:
No.
Step-by-step explanation:
Using the Pythagorean Theorem, a^2 + b^2 = c^2, this would not be possible, because 4 + 9 does not equal 16.
2 × 2 = 4
3 × 3 = 9
4 × 4 = 16
Answer:
No.
Step-by-step explanation:
the Pythagorean Theorem states that a²+b²=c²
where a and b are the legs and c is the hypotenuse of a right triangle
in this case we need to know if 2²+3²=4²
2²=4
3²=9
4²=16
4+9=13
13≠16
so no, the hypotenuse cannot be 4 inches long.
A school board is interested in knowing how the teachers in the school district feel about the new professional development plan. They create a list of the 245 teachers in the district and randomly select 40 names from the list to survey anonymously.
The 40 randomly selected teachers: sample.
The list of all teachers in the school district: frame.
The 245 teachers in the school district: population.
A sample is a subset of a population that is selected for research purposes. In this case, the school board has randomly selected 40 teachers out of the 245 teachers in the district as a sample to survey their opinions on the new professional development plan.
A population is the entire group of individuals or objects that researchers are interested in studying. In this case, the population is all 245 teachers in the school district.
A frame is the list or method used to define the population. In this case, the frame is the list of all 245 teachers in the school district that was used as the basis for selecting the random sample of 40 teachers.
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The map shows the location of four places in a school.A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom
Since Paul's English class is located in the same quadrant as the library, the coordinates of the English classroom include the following: B: (−4, 5).
What is a translation?In Mathematics, the translation of a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image or function.
On the other hand (conversely), the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
Since the library is located in the fourth quadrant in which the value on the x-coordinate (x-axis) is positive while the value on the y-coordinate (y-axis) is negative, we can reasonably infer and logically deduce that its coordinates would be translated to the right and then downward.
In conclusion, the coordinates of the English classroom would most likely have negative x-coordinate (x-axis) and a positive y-coordinate (y-axis);
Coordinates of the English classroom = (-4, 5).
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Complete Question:
The map shows the location of four places in a school.
A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
A: (4, 5)
B: (−4, 5)
C: (−4, −5)
D: (4, −5)
A plane slices a double-napped cone at a slight angle to the base of the cone without intersecting the base. Which conic section is formed? CircleEllipseHyperbolaParabola
Hyperbola will form out from the cone.
Double napped coneThe generator, vertex, and vertical axis are three crucial components of the double-napped cone. Conic sections or conics are the curves that result from the division of a double-napped cone into sections by a plane.
HyperbolaA plane intersects with both parts of a double cone to form a hyperbola, which is an open curve with two branches. The hyperbola will be symmetrical regardless of whether the plane is parallel to the axis of the cone or not.
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The formula for area of a triangle is A = b*h/2. What is the area of the triangle?
Answer:
63
Step-by-step explanation:
b*h/2
b= 18
h=7
(7*18)/2 = 63
How to find angles and sides using law of sines
Answer:
by finding the angles and sides using law of sines
Step-by-step explanation:
basically you have to use the law of sines to find the angles and sides, after that you will find the angles and sides using law of sines
Gia had 94 beads. She used 28 beads to make a necklace and 17 beads to make a bracelet. Gia went to the store and bought 36 more beads. How many beads does Gia have now?
Answer:
Gia has 85 beads in the end
Step-by-step explanation:
28+17 beads = 45 beads
94 beads - 45 beads = 49 beads
49 beads + 36 beads = 85 beads
solve using subsitution. -8x-10y=12 x+2y=3
Answer:
All I know is:
Step-by-step explanation:
You have to Graph
Then Find the Empirical/Simplest Formula
After you have to Calculate the Formula Weights
Then Find the Derivative - d/dx
Last, Find the Derivative - d/dy
Sorry I don't know the real answer.
find the quiotient 9.43/82.show your work
0.115 is the quotient of 9.43/82
What is Division?A division is a process of splitting a specific amount into equal parts.
In division, we divide a number by any other number to get another number as a result.
The number which is getting divided here is called the dividend.
The number which divides a given number is the divisor.
The number which we get as a result is known as the quotient.
9.43/82 we have to find quotient
9.43 is the dividend and 82 is the divisor
9.43/82=0.115
Hence, 0.115 is the quotient of 9.43/82
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Round to the nearest tenth if necessary
Answer:
obviously 16 meters to the west
for an arbitrary collection of open intervals, will the intersection of all of those intervals always be open?
Yes, the intersection of all of those intervals always be ope
What is set theory?The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.
According to information:Any union of open sets, or an unlimited number of open sets, is open. It is open where a finite number of open sets intersect.
A closed set is the complement of an open set (according to the space that the topology is specified on).
Thus, the intersection of all of those intervals always be open.
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Find the length of side xx in simplest radical form with a rational denominator.
well, the triangle is an equilateral, so all sides are equal, we know that the segment "x" stems out of the vertex and drops perpendicular to the other side, now, the vertex "x" stems from has two equal sides.
what the hell all that means? well it means that "x" is an altitude and is also an angle bisector and likewise is also cutting the opposite side into two equal halves, meaning that one side is really 8 + 8 = 16, so then
[tex]\stackrel{altitude}{height}\textit{ of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=16 \end{cases}\implies h=\cfrac{16\sqrt{3}}{2}\implies h=8\sqrt{3}[/tex]
Work out the length of DG in this cuboid.
Give your answer in centimetres (cm) to 1 d.p.
24 cm
H
41 cm
G
22 cm
B
C
Not drawn accurately
the length of DG in this cuboid is 46.53 cm
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
from the given figure,
we get,
by Pythagorean theorem,
DG =√41²+22²
=46.53
hence, the length of DG in this cuboid is 46.53 cm
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describe the three methods used to represent a set. give an example of a set represented by each method.
On solving the provided question, we can say that a set's elements can be arranged in any sequence.
what is set?A mathematical representation of a variety of different things is called a set. Any type of mathematical object may be one of the elements or terms that make up a set. Symbols, numbers, lines, other geometric shapes, points in space, variables, and even other quantities. A proposition in mathematics is a structured group of items that can be expressed as a list or a proposition builder. Curly brackets are commonly used to identify sets. For instance, A = 1, 2, 3, 4 is a set. A set is essentially a group of items that are seen together. The items that make up a set are referred to as its members or elements. The components of a set may consist of any item, but for our purposes, they usually consist of mathematical objects like numbers, functions,
Set Representation
A capital letter indicates a set. For instance, consider sets A, B, N, etc.
Small letters are used to identify the components of a set. Each element is written using curly brackets and a comma in between.
Elements are not repeated in set notation.
A set's elements can be arranged in any sequence.
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