Answer: i am not positive but i think 2.5 on x and 9, and 27 on y
Step-by-step explanation: just want to help asap
Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.
What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio
Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
The total volume is 7448 cubic millimeters. Sophie has made mistake in copying height of pyramid.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.
Volume of rectangular prism = Length×Width×Height
= 28×21×4
= 2352 cubic millimeters
A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Volume of a rectangular pyramid = (lwh)/3
= (28×21×26)/3
= 15288/3
= 5096 cubic millimeters
Total volume = 2352+5096
= 7448 cubic millimeters
Hence, Sophie has made mistake in copying height of pyramid.
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Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in years since the start of 2000,
(1) --33428001 - 1,000 thousand barrels per day (9 st s 13)
According to the model, approximately when were oil imports to the country greatest? HINT (See Example 1) (Round your answer to two decimal places.)
How many barrels per day were imported at that time? (Round your answer to two significant digits.)
thousand barrels
Answer:
Time = approximately mid 2012Oil import rate = 3600 barrelsStep-by-step explanation:
Unclear part of the questionI(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest? t = ? SolutionGiven the quadratic function
The vertex of a quadratic function is found by a formula: x = -b/2aAs per given function:
b = 800, a = -35Then
t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13This time is approximately mid 2012.
Considering this in the function, to get oil import rate for the same time:
l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285Rounded to two significant figures, the greatest oil import rate was:
3600 barrelsderivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?
A. 345.4 feet
B. 172.7 feet
C. 86.35 feet
D. 2,323.1 feet
The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.
How to evaluate for the circumference of a circleTo calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).
We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:
Radius of the circular feild = 27.5
circumference of the circular feild = 2 × 27.5 feet × 3.14
circumference of the circular feild = 55 feet × 3.14
circumference of the circular feild = 172.7 feet.
Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.
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Midwest Publishing publishes textbooks. The company uses an 800 number where people can call to ask questions about the textbooks and place orders. Currently, there are 2 representatives handling inquiries. Calls occurring when both lines are in use get a busy signal. Each representative can handle 12 calls per hour. The arrival rate is 20 calls per hour.
Required:
a. How many extension lines should be used if the company wants to handle 90% of the calls immediately?
b. What is the probability that a call will receive a busy signal if your recommendation in part (a) is used?
c. What percentage of calls receive a busy signal for the current telephone system with two extension lines?
Answer:
A. 18 calls
B. 0.9
C. 20
Step-by-step explanation:
Number of representatives=2,
Number of extension lines=2,
Average calls each representative can accommodate per hour = 15 calls,
Arrival rate per hour = 30 calls
(a) 90% of the arrival rate = 0.09 × 20 = 18 calls
To handle 18 calls immediately, 18 extension lines should be used
(b) Probability is given by number of possible outcomes ÷ number of total outcomes
Number of possible outcomes = 18, number of total outcomes = 20
Probability (call will receive busy signal) = 18/20 = 0.9
(c) For one extension line, numbers of calls to receive busy signal = 20 - 10 = 10 calls
Number of calls to receive busy signal for the current telephone system with two extension lines = 2 × 10 = 20 calls
+
2
8
2
Least multiple that is the sam
Add using renamed fractions
Answer:
no
Step-by-step explanation:
eighteen years ago a woman's age was 20 years more than thrice her daughter's age. how many years ago was the woman's age thrice that of her daughter?
Answer: 8 years ago
Step-by-step explanation:
w = woman's age
d = daughter's age
Hypothetically, find the woman's age eighteen years ago when the daughter is 1 year old.
(18 years ago):
w = 20 + 3d
w = 20 +3(1)
w = 23
The woman is 23 years old.
Now, find the age of the daughter 18 years ago when the woman is three times her age:
w + x = 3(d + x)
**x is the number of years that pass, so it needs to be added to the raw age of the woman and her daughter. That's why it's inside the parenthesis.**
w + x (- x) = 3d + 3x (- x)
w = 3d + 2x
(23) = 3(1) + 2x
**Now, we plug in the initial raw ages to find the number of years that have passed.**
20 = 2x
x = 10
18 - (10) = 8 years ago
Since our math took place 18 years ago, we fast-forward 10 years, making the woman 3 times older than her daughter 8 years ago.
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ after a 180° rotation about the origin and a translation 5 units to the right and 1 unit down? I need Help
Hey there! I'm happy to help!
First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).
Let's convert this below
A: (1,1)⇒(-1,-1)
B: (5,4)⇒(-5,-4)
C: (7,1)⇒(-7,-1)
D: (3,-2)⇒(-3,2)
Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.
A: (-1,-1)⇒(4,-2)
B: (-5,-4)⇒(0,-5)
C: (-7,-1)⇒(-2,-2)
D: (-3,2)⇒(2,1)
Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)
Now you know how to find the coordinates of translated figures! Have a wonderful day! :D
Out of a dozen eggs in a carton, 75% had cracks! How many eggs had cracks?
Answer:
75% of 12 is 9
Graph the equation.
y = -2(x - 1) - 4
Answer:
y-intercept is (0, -2)
x-intercept is (-1, 0)
Step-by-step explanation:
Lila collected 116gallons of honey. After using some of the honey she collected for baking, Lila found that she only had 34 gallon of honey left. How much honey did she use for baking?
Answer: She would've used 82 gallons
The graph of a linear function is shown.
Which word describes the slope of the line?
• positive
• negative
• zero
• undefined
Answer:
Slope is positive
Answer:
• positive
Step-by-step explanation:
Here is what you need to know:
slope up to the right: positive slope
slope down to the right: negative slope
horizontal line: zero slope
vertical line: undefined slope
Look at the graph. the line slopes up to the right, so it is a positive slope.
What is the slope intercept form of these two points.(2,5) and (0,1).
which ways more a cat that weighs 5.5 kg or a bag of flour that weighs 15 lb note 1 lb is about 45 kg
Answer:
the bag of flour
Step-by-step explanation:
if that cats weighs 5.5 kg and the bag of flower is 15 ib and 1 ib 45 ib so in 15 ib if we multiply 45 times 15 we get 675 and 675>5.5
The product of two rational numbers is______ (1.A rational, 2.An irrational)
number because multiplying two rational numbers is
equivalent to the ratio of_____ (1.Two irrational numbers, 2.a rational and an irrational number, 3.Two integers)
which is_____ (1.a rational, 2.an irrational)
number.
The product of two rational numbers is 1 . A . Rational number because multiplying two rational numbers is equivalent to the ratio of 3 . Two integers which is 1 . a rational number .
What is the product of two rational numbers ?The product of two rational numbers is always a rational number. This is because a rational number is defined as a number that can be expressed as the ratio of two integers.
When you multiply two rational numbers, you are simply multiplying two ratios, which is still a ratio and therefore a rational number.
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Convert hours to minutes. How many minutes are in one and a half hours?
Answer:
there are 90 minutes.
Step-by-step explanation:
60 minutes in an hour. 30 in half an hour. that equals 90 total
Answer:
There are 90 mins
Step-by-step explanation:
1 hour = 60 mins
0.5 hour(s) = 30 mins
~ You add 60 + 30 and that gives you 90 ~
HELP 10 MIN LEFT!!!!
Answer:
To one decimal place,
y = 16.3 m
Step-by-step explanation:
Using SOHCAHTOA,
In this case we need to use CAH,
WE know the angle = 25 and the hypotenuse H = 18,
so,
y = adjacent
\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)
Answer: 16.3 in.
Step-by-step explanation:
use SOH CAH TOA
cos x = adj/hyp
cos 25 = y/18
18 cos 25 = y
y= 16.3
1. The cost of powdered milk os Php 450.00 per 1 kg.
Another brand contains 1.5 kilograms at Php 485.00.
What is more economical ?
Answer:
see below
Step-by-step explanation:
brand A = 450 / 1
= P 450 per kg
brand B = 485 / 1.5
= P 323.33 per kg
therefore, brand B is much cheaper
Select all of the following tables which represent y as a function of x
.
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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given this system of linear equation by appliying inverse method find the unknown variables for 2x+3y=4 x+2y=2
Number 1 please help
Answer:
x^2y^4
Step-by-step explanation:
b because u have to add the exponents of the like variable. x^4 and x^-2 are the like terms in this equations so 4+(-2) so its basically flipping the signs plus and the negative sign so it's just -2
Which of the following is the correct substitution into the quadratic formula?
3x2 + 4x +5=0
Answer:
answer is D
x = -4±√4^2 - 4(3)(5)
2(3)
Step-by-step explanation:
ax^2 + bx + c = 0
3x^2 + 4x + 5 = 0
x = -b ±√b^2 - 4ac
2(a)
x = -4±√4^2 - 4(3)(5)
2(3)
Answer:
The last choice is correct.
Step-by-step explanation:
Use only the coefficients and the constant, a, b & c. not the variable x.
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||= pounds ||→vx||= pounds
What is the total force (in pounds) exerted on each wire?
||→u||= pounds ||→v||= pounds
Answer:
mind fact sub happy wala birthday quiz frist
Sadam earns 1.5% commission on homes that he sells. Last month, he sold $3,000,000 worth of homes. How much money did he earn last month?
also this is another
Answer:
21 yd^2 (you can remove the ^2 if you want)
Step-by-step explanation:
1/3 =0.33333333333 so 2.33333333333x9=21
The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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A curve has equation y = 2x + 1/(x-1)² Verify that the curve has a stationary point at x=2 and determine its nature.
There is no stationary point at x = 2. The nature of the curve at x = 2 cannot be determined since there is no stationary point.
To verify that the curve has a stationary point at x = 2, we need to find the derivative of the equation and set it equal to zero.
Given the equation:
y = 2x + 1/(x-1)²
Let's find the derivative dy/dx:
dy/dx = d/dx [2x + 1/(x-1)²]
To find the derivative, we can use the power rule and the chain rule. Let's differentiate each term separately:
For the first term, 2x, the derivative is 2.
For the second term, 1/(x-1)², we can rewrite it as (x-1)^(-2) to apply the power rule. The derivative is then:
d/dx [(x-1)^(-2)] = -2(x-1)^(-3) * d/dx (x-1)
Using the chain rule, d/dx (x-1) = 1, so the derivative becomes:
-2(x-1)^(-3) * 1 = -2/(x-1)^3
Now, let's set dy/dx equal to zero and solve for x:
-2/(x-1)^3 = 0
This equation is satisfied when the numerator is equal to zero:
-2 = 0
However, -2 is not equal to zero, which means there is no x value that makes dy/dx equal to zero.
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need help fast
The graph of y^2 + 8y – 4x – 24 = 0 is a parabola. Where is the focus located?
Answer:
It’s (-9,-4)
Step-by-step explanation:
Edge
The focus of the graph of the function is located at (−9,−4).
Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.
What is vertex form?The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Right
Vertex: (−10, -4)
Focus: (-9, -4)
Axis of Symmetry: y=−4
Directrix: x=−11
Therefore, the focus of the graph of the function is located at (−9,−4).
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