given the rectangular of with face BCFE as one of its bases. use each value only once. match the following terms to the diagram
Answers
Edge = B
Lateral Face = HDCF
Related Questions
Answer both of um I'll mark you brainliest
Answers
Answer:
1) 71.83
2) 43
3) 41
4) 755.66
5) 458
6) 1757.12
7) 123 meters
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4, (-3sqrt3, 1)
Answers
The equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.
To find the equation of the tangent line to the curve at the given point, we will differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation x^(2/3) + y^(2/3) = 4 with respect to x, we get:
(2/3)x^(-1/3) + (2/3)y^(-1/3) * (dy/dx) = 0
Now we need to find the value of dy/dx at the point (-3sqrt3, 1).
Substituting x = -3sqrt3 and y = 1 into the equation, we have:
(2/3)(-3sqrt3)^(-1/3) + (2/3)(1)^(-1/3) * (dy/dx) = 0
Simplifying, we get:
(2/3)(-1/sqrt(3)) + (2/3) * (dy/dx) = 0
Simplifying further, we have:
-2/(3sqrt3) + (2/3) * (dy/dx) = 0
Now we can solve for (dy/dx):
(dy/dx) = 2/(2sqrt3) = 1/sqrt3
So the slope of the tangent line at the point (-3sqrt3, 1) is 1/sqrt3.
Now we have the slope of the tangent line and the point (-3sqrt3, 1), we can use the point-slope form to find the equation of the tangent line. The equation is given by:
y - y1 = m(x - x1)
Substituting the values, we have:
y - 1 = (1/sqrt3)(x - (-3sqrt3))
Simplifying, we get:
y - 1 = (1/sqrt3)(x + 3sqrt3)
y - 1 = (1/sqrt3)x + 3
Finally, rearranging the equation, we have:
y = (1/sqrt3)x + 4
So the equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.
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If its length is 4x - 3 meters and its width is 2x + 6meters , what is the actual width of the rectangle?
Answers
Answer:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
or simplified
p
=
12
x
−
9
Explanation:
By definition the perimeter of an object is the length of all its sides.
Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.
Therefore the equation for the perimeter of a rectangle can be written as:
p
=
2
⋅
l
+
2
⋅
w
where
p
is the perimeter,
l
is the length and
w
is the width.
Substituting what was given about the length and width gives the equation:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
Simplifying this equation gives:
p
=
8
x
+
3
+
4
x
−
12
p
=
8
x
+
4
x
+
3
−
12
p
=
12
x
−
9
Step-by-step explanation:
suppose a 7×11 matrix a has five pivot columns. is col a=ℝ^5? is nul a=ℝ^6? explain your answers. question content area bottom part 1 is col a=ℝ^5?
Answers
No, col a cannot be equal to ℝ^5 because col a represents the column space of the matrix A, which is the span of the columns of A. Since A has only five pivot columns, the dimension of col a is at most 5. Therefore, col a is a subspace of ℝ^5 or a lower-dimensional subspace of ℝ^5, but it cannot be equal to ℝ^5 itself.
To see why, consider the fact that the columns of A can be interpreted as vectors in ℝ^7, since A is a 7×11 matrix. The column space of A is the set of all linear combinations of these column vectors. If col a were equal to ℝ^5, this would mean that the five pivot columns of A span all of ℝ^5, which is not possible since there are only five pivot columns and the dimension of ℝ^5 is 5.
Therefore, col a is a subspace of ℝ^5 or a lower-dimensional subspace of ℝ^5, but it cannot be equal to ℝ^5 itself.
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find the distance traveled by a particle with position ( x, y ) as t varies in the given time interval. compare with the length of the curve?
Answers
The distance traveled by a particle with position (x, y) as t varies in a given time interval can be determined by integrating the speed of the particle with respect to time over that interval. This integration involves calculating the derivatives of x and y with respect to t, representing the rates of change in the x and y coordinates over time. By integrating the speed function, we obtain the total distance traveled by the particle within the given time interval.
To compare this distance with the length of the curve, we need to consider the curve traced by the particle's path in the (x, y) plane. The length of the curve represents the total distance along the curve, taking into account its shape and curvature. Comparing the distance traveled by the particle with the length of the curve allows us to assess if the particle deviates from a straight path or follows a more complex trajectory, providing insights into the particle's motion characteristics.
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The distance traveled by a particle with position (x, y) as t varies in a given time interval, we need to integrate the speed of the particle with respect to time over that interval. This will give us the length of the curve traced by the particle's position.
The distance traveled by a particle is determined by integrating its speed over a given time interval. The speed of the particle is the magnitude of its velocity, which can be calculated using the derivatives of the position function.
Let's assume the particle's position is given by a parametric equation x = f(t) and y = g(t), where t represents time. The velocity of the particle can be found by taking the derivatives of f(t) and g(t) with respect to t.
The speed of the particle is then calculated as the magnitude of the velocity vector, which is the square root of the sum of the squares of the derivatives: sqrt((dx/dt)^2 + (dy/dt)^2).
To find the distance traveled by the particle over a specific time interval, we integrate the speed function over that interval with respect to t. This will give us the length of the curve traced by the particle's position.
In summary, to find the distance traveled by a particle, we calculate the speed as the magnitude of its velocity and integrate the speed function over the given time interval. The result will be the length of the curve traced by the particle's position.
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You can run 1/5mi in 2 min how long will it take you you run 2mi
Answers
Answer:
20 minutes
Step-by-step explanation:
I NEED HELP PLEASE
To get to the park, Isaiah has to drive straight north 12 miles. To get to the hardware store, he drives directly east 35 miles. The straight-line distance between the park and the hardware store is ___ miles.
Answers
Step-by-step explanation:
it helps to draw a picture
use pythagorean thm
x =
\(x = \sqrt{ {12}^{2} + {35}^{2} } \)
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answers
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answers
Answer:
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below
Probability = Number of favorable outcome / Total number of possible outcomes.
From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.
Here, the number of favorable outcome is 1 (which is the chip numbered 170)
Total number of possible outcomes is 216 ( all the 216 identical plastic chips)
Therefore,
Probability = 1/216 or 0.0046
This is the probability of randomly drawing the chip numbered 170.
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
A = $ 9,257.50
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 2,257.50
Step-by-step explanation:
A couple plans to save for their child’s college education. What principle must be deposited by the parents when their child is born to have $43,000 when their child reaches the age of 18 assume the money earned 8% interest compounded quarterly round your answer to the nearest decimal
Answers
SOLUTION
We will apply the amount formula
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{Where } \\ A\text{ = amount = }43,000\text{ dollars } \\ P=pri\text{ncipal money deposited }=\text{ ?} \\ r=\text{interest rate = 8}\%=0.08 \\ n\text{ = number of times compounded = quarterly = 4} \\ t=\text{ time in years = 18years } \end{gathered}\)Substituting each into the equation, we have
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 43,000=P(1+\frac{0.08}{4})^{4\times18} \\ 43,000=P(1.02)^{72} \\ 43,000=4.161140375P \\ P=\frac{43,000}{4.161140375} \\ P=10,333.7056972 \end{gathered}\)Hence the answer is $10,333.71 to two decimal places
Change die exponential statement to an equivalent statement involving a logarithm. 9 = 3^2 The equivalent logarithmic statement is. (Type an equation.)
Answers
The equivalent logarithmic statement is log base 3 of 9 = 2 for the equation 9 = 3².
To convert the exponential statement 9 = 3² into an equivalent logarithmic statement, we can use the logarithm with base 3.
Step 1: Identify the base and exponent in the exponential statement.
In our case, the base is 3 and the exponent is 2.
Step 2: Write the equivalent logarithmic statement.
Using the base 3 logarithm, we have:
log₃(9) = 2
This logarithmic statement can be read as "the logarithm base 3 of 9 is equal to 2."
The logarithm function gives us the exponent or power that the base needs to be raised to in order to obtain the given number. In this case, log₃(9) tells us that 3 raised to the power of 2 equals 9.
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Which pair of triangles can be proven congruent by SAS?
Answers
What is the solution to the system of equations? One-fourth x minus one-half y = 8 One-half x + three-fourths y = negative 5 (–8, –12) (–8, 12) (8, 12) (8, –12)
Answers
Answer:
Step-by-step explanation:
x/4-y/2=8, x-2y=32, x=32+2y
x/2+3y/4=-5, 2x+3y=-20, x=(-20-3y)/2
32+2y=(-20-3y)/2
64+4y=-20-3y
7y=-84
y=-12, since x=32+2y
x=32+2(-12), x=32-24=8
So the solution is the point (8, -12)
Answer:
its (8, -12)
Step-by-step explanation:
I did the test but if you need to show your work then im sorry lol i did it in my head
(6,1) is a solution to the system:−2+=−11 −−9=−15 true or false
Answers
To prove that (6,1) is a solution to the system, we have to evaluate it in each equation, if it satisfies both equations, then it's a solution to the system.
EVALUATING (6,1) IN THE FIRST QUESTION.
\(\begin{gathered} -2x+y=-11 \\ -2\cdot6+1=-11 \\ -12+1=-11 \\ -11=-11 \end{gathered}\)As you can observe, the given coordinated pair satisfies the first equation.
EVALUATING (6,1) IN THE SECOND EQUATION.
\(\begin{gathered} -x-9y=-15 \\ -6-9\cdot1=-15 \\ -6-9=-15 \\ -15=-15 \end{gathered}\)The pair also satisfies the second equation.
Therefore, (6,1) is a solution to the given system, the statement is true.Find the coordinates of the triangle after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the triangle in the y-axis.
Answers
The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)
How to determine the image of the transformation?The complete question is added as an attachment
The coordinates of the triangle are given as
R = (-4, 1)
S = (-4, 4)
T = (-2, 1)
The sequence of transformations is given as
Translate the triangle 1 unit right and 5 units down. Reflect the triangle in the y-axis.The rules of the above sequence of transformations are
Translate the triangle 1 unit right and 5 units down: (x + 1, y - 5)Reflect the triangle in the y-axis: (-x, y)When the above transformations are combined, we have
(x, y) = (-x - 1, y - 5)
So, we have
R' = (4 - 1, 1 - 5) = (3, -4)
S' = (4 - 1, 4 - 5) = (3, -1)
T = (2 - 1, 1 - 5) = (1, -4)
Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)
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Find the surface area of the prism.
Answers
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
GIVNING BRAINLIST
Function "p" is in the form y = a\(x^{2}\) + c. If the values of "a" and "c" are both less than 0, which graph could represent "p"?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
Answers
These notes should help with future problems like this
![GIVNING BRAINLISTFunction "p" is in the form y = a[tex]x^{2}[/tex] + c. If the values of "a" and "c"](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/y9oyXpltmOeUkphpFcpHhve8rpaaCRwt.png)
What is the slope of a line that is perpendicular to the line y =-1/2x + 5?
-2
-1/2
1/2
2
Answers
2/1 = 2
The slope of the line given is -1/2.
To find the inverse negative we first inverse the number, then take then negatuve of that (or opposite order).
The inverse of -1/2 is, -2 (switch the numerator and denominator or do to the power of -1, ^-1).
The negative of -2 is, 2.
Therefore the slope of the line perpendicular to y = -1/2x + 5 is 2.
A tree planted in jakes front yard is 5 1/4 feet tall and jake is told that the tree should grow about 1/5 inch each month . let X represent the number of months and Y represent the number of months and Y represents the height of the tree
Answers
The answer is:
In slope-intercept form
Y=1/5x+5 1/4
Black Diamond Company produces snowboards. Each snowboard requires 2 pounds of carbon fiber. Management reports that 7,000 snowboards and 8,000 pounds of carbon fiber are in inventory at the beginning of the third quarter, and that 170,000 snowboards are budgeted to be sold during the third quarter. Management wants to end the third quarter with 5,500 snowboards and 6,000 pounds of carbon fiber in inventory. Carbon fiber costs $19 per pound. Each snowboard requires 0.5 hour of direct labor at $24 per hour. Variable overhead is budgeted at the rate of $14 per direct labor hour. The company budgets fixed overhead of $1,802,000 for the quarter. Required: 1. Prepare the production budget for the third quarter. Hint: Desired ending inventory units are given. BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter Budgeted sales units Add: Desired ending inventory units Total required units Less: Beginning inventory units Units to produce 170,000 5,500 175,500 7,000 168,500 2. Prepare the direct materials budget for the third quarter. BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter Units to produce Materials needed for production (pounds) Total materials required (pounds) Materials to purchase (pounds) + Cost of direct materials purchases 3. Prepare the direct labor budget for the third quarter. BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter Units to produce Direct labor hours needed Cost of direct labor 4. Prepare the factory overhead budget for the third quarter. BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter Direct labor hours needed Budgeted variable overhead Budgeted total factory overhead
Answers
Production: 168,500 units.
Direct materials: 337,000 pounds.
Direct labor: Calculated based on units produced.
Factory overhead: Calculated based on direct labor hours.
1. Production Budget for the Third Quarter:
BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter
Budgeted sales units: 170,000
Add: Desired ending inventory units: 5,500
Total required units: 175,500
Less: Beginning inventory units: 7,000
Units to produce: 168,500
2. Direct Materials Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter
Units to produce: 168,500
Materials needed for production (pounds): 2 pounds per snowboard
Total materials required (pounds): 337,000 pounds
Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds
3. Direct Labor Budget for the Third Quarter:
BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter
Units to produce: 168,500
Direct labor hours needed: 0.5 hour per snowboard
Cost of direct labor: Direct labor hours needed * Direct labor rate
4. Factory Overhead Budget for the Third Quarter:
BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter
Direct labor hours needed: Calculated from the direct labor budget
Budgeted variable overhead: Direct labor hours needed * Variable overhead rate
Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead
Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.
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Miguel bought 3CDs that were each the same price. Including sales tax, he paid a total of 34.00 . Of that total,3.60 was tax. What was the price of each CD before tax?
Answers
Answer:
$10.13
Step-by-step explanation:
Take the total and subtract the tax:
34-3.6 = 30.40
Take that answer and divide by 3
3/7 x 4/7 what is the answer
Answers
3/7×4/7= (3×4)/(7×7)= 12/49
Answer:
12/49
Step-by-step explanation:
Hi! To start off, I'm going to multiply our numerators, and then our denominators.
3 × 4 = 12
7 × 7 = 49
Usually, if this fraction was not simplified (but it is) we would simplify it (ex. 2/4 to 1/2).
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
6) If 1 Inch = 2.54cm, then set up and solve a proportion that finds how many
Inches, n, there are in 10 cm. (Round your answer to the nearest tenth)
proportion: Answer: Explanation:
Answers
Answer:
3.93700787402, almost 4
Step-by-step explanation:
10 ÷ 2.54
3 × 2.50 = 7.50
3 × 0.04 = 0.12
7.50 + 0.12 = 7.65
7.65 + 2.54 = 10.19
The precise number is use calculator.
What is the value of x in the equation 2(x - 4) = 4(2x + 1)?
Answers
Step-by-step explanation:
Given
2( x - 4 ) = 4( 2x + 1 )
2x - 8 = 8x + 4
8x - 2x = - 8 - 4
6x = -12
x = - 12 / 6
X = -2
The value of x is - 2 .
please answer this! I need help :) please no bots, i'm looking for a real answer!
Mean, median and mode stuff.
Answers
Answer:
Step-by-step explanation:
range is biggest value minus smallest value: 36
median is the line in the middle of the box: 30
minimum value is the smallest number of the set: 6
maximum value is the biggest number of the set: 42
first quartile is the first line of the box plot: 27
third quartile is the third line of the box plot: 38
A baseball weighs approximately 1/3 pounds
A golf ball weighs about 1/10 pounds
What expression can be used to find the combined weight of a baseball and a golf ball?
Choose 1 answer:
(Choice A)
A
10/3 + 1/10
(Choice B)
10/13 + 3/13
(Choice C)
10/30 + 3/30
(Choice D)
1/13 + 1/13
Answers
Answer:
Choice C
Step-by-step explanation:
1/3 + 1/10 = 13/30
Choice A does not equal 13/30
Choice B does not equal 13/30
Choice D does not equal 13/30
Choice C does, however. 10/30 + 3/30 = 13/30
Which of the following statements can be assumed from the diagram?
Answers
Answer:
Line t and line s are perpendicular
Line s is parallel to line u
ccording to the Texas Water Development Board, the average per capita per day water usage in this same area is 89 gallons. What are some reasons that the per capita per day water consumption be higher than the wastewater generated
Answers
There are several possible reasons why per capita per day water consumption could be higher than the wastewater generated:
Non-domestic water use: Per capita water usage includes not only water used in households but also water used for commercial, industrial, and agricultural purposes. Wastewater, on the other hand, only includes water that has been used in households and is discharged into the sewer system. Therefore, if there is significant non-domestic water use in the area, per capita water usage could be higher than wastewater generated.
Inefficient water use: Even though per capita water usage is high, some of the water used may not end up in the wastewater stream. For example, water may be used for landscaping or irrigation, and much of it could evaporate or soak into the ground before it reaches the sewer system. This would result in higher water usage than wastewater generated.
Water loss: The water distribution system may experience leaks or other losses, resulting in some of the water being lost before it reaches households or other water users. This would result in higher water usage than wastewater generated.
Infiltration and inflow: In some cases, rainwater or groundwater can infiltrate into the sewer system or inflow into wastewater treatment plants, increasing the volume of wastewater generated. This could result in lower wastewater generated than per capita water usage.
Time lag: There may be a time lag between water usage and wastewater generated, especially in areas with septic systems. It is possible that some of the water used today may not be discharged into the sewer system for several days or even weeks, resulting in higher per capita water usage than wastewater generated on any given day.
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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Answers
(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/2
(B) Coordinates of Δ P"Q"R"
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) Triangles PQR and P"Q"R" are not congruent.
Given
ΔPQR is transformed into ΔP'Q'R'
Coordinates of P, Q, R are
P (8,0),
Q(6,2)
R(-2,-4)
Coordinates of P'Q'R' are
P′(4, 0)
Q′(3, 1)
R′(−1, −2)
(A) By Distance formula we can find the distance between P Q and P'Q'
Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Where D = Distance between two points
from distance formula we can write that
PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)
Similarly
P'Q'= √2
PQ /P'Q' = 2
hence the scale factor of dilation is 1/2 (Compression)
(B )The Coordinates of Reflection about y axis can be written for a point
(x,y) as (-x,y)
So the Coordinated of Δ P"Q"R" can be written as
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) ΔPQR and ΔP"Q"R" are similar triangles but they are not congruent because their sides are not equal in size.
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