The amount of plastic needed for each batch of 50 coins is equal to the volume of 50 coins that is 80 cu.cm.
The diameter of the coin is 2.0 cm.
As radius is half of the diameter, so its radius will be 1.0 cm.
It is given that the coin is circular in shape, so the area of the circular surface will be πr² = 3.14 × 1² = 3.14 sq. cm. (π = 3.14)
The thickness of the coin is 0.5 cm, which will be considered as the height of the coin.
So, the volume of each coin will be = 3.14 × 0.5 = 1.57 cu. cm.
Therefore, the plastic needed for the batch of 50 coins is,
1.57 × 50 = 78.5 cu.cm and in multiple of 10 it will be 80 cu.cm.
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what is the measure of angle OAC
Answer:
60
Step-by-step explanation:
David claims that it's possible to create a segment exactly 5 units in length. Build such a segment, and explain how you know the length is exactly 5 units, or explain why such a segment is impossible.
Answer:
3^2+4^2=5^2
Step-by-step explanation:
shown in the answer
Hhhhhheeeeeelllllppppp
Answer:
D) 4\(z^2\) + 5z - 6
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer: 2 times the square root of 10=x
Step-by-step explanation: 6^2+2^2= x^2
36+4=x^2
40=x^2
2 root 10=x
What is the slope of the line that contains the points (7,-1) and (6,-4)
Answer:
3
Step-by-step explanation:
change in y ÷ change in x = slope/gradient
(-1)-(-4) = 3
7-6=1
3÷1= 3 therefore slope = 3
Write the point-slope form of the given line that passes through the points (0, 3) and (4,0). Identify (x, y) as the X-
Intercept of the line. Include your work in your final answer. Type your answer in the box provided to submit your
solution.
Answer:
y-3= -3/4 -(x+0)
Step-by-step explanation:
y2-y1 3-0= 3
x2-x1 0-4= -4
slope is - 3/4
y= mx=b
y = -3/4x + 3
Order the sides or angles of each triangle from least to greatest.
Answer:
Step-by-step explanation:
VW<WX<VX
25°<65°<90°
1. When do we use the method of Difference of two squares?
*
(Factoring polynomials)
Answer:
a
Step-by-step explanation:
Help me with this pls Before 6 pm pst if you can or I will be sad
Answer:
its called um srry dont know
Step-by-step explanation:
Answer:
Step-by-step explanation:
a−6
−
3
a+6
−
a2
36−a2
=
−2a4−3a3+54a2+108a+648
−a4+72a2−1296
=
(−a−6)(a−6)(2a2+3a+18)
(−a−6)(a−6)(a+6)(a−6)
=
2a2+3a+18
a2−36
WILL GIVE BRAINLIEST!
Use the roster method to write the set.
The positive integers less than 7
Step-by-step explanation:
your answer in roster method is
(1,2,3,4,5 and 6)
She had $3000. She spend 40% of the money in smart TV and 15% of the remainder on Game Set. (a) What % of the money had she left? (b) How much money had she left?
Answer: She had left 54% of the money which is $1620.
Step-by-step explanation:
40% of $3000 = $1200
15% of $1200 = $180
$3000 - ($1200 + $180)
$3000 - $1380 = $1620
$1620 is the money she had left.
$1620 is 54% of $3000
She had 54% left of the money.
Hope that helped~!
Determine whether the table represents an exponential decay
function, exponential growth function, negative linear function, or
positive linear function.
X 0 1 2 3
y 40 20 10 5
A) Exponential decay function
B) Exponential growth function
C) Negative linear function
D) Positive linear function
Answer:
(A) Exponential decay fnction
Step-by-step explanation:
As x increases , y decreases so it is exponential decay or negative linear
If it is linear its of the form y = mx + c where m = slope and c = y-intercepts.
m is a constant if its linear
Check if the slope m is constant:
m = (20-40) / (1 - 0) = -20
m = (10-20)/ 1 = -10
m = (5 - 10)/ 1 = -5
- not linear.
So, it is exponential decay.
The fnction is y = 40(1/2)^x.
eg when x = 3 y = 40(1/2)^3 = 40 * 1/8 = 5.
the ph measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3. what is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2?
The probability that ph measurement of a randomly selected water is greater than 8.2 is 0.25239.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
What is standard deviation?
Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Given,
mean = 8
standard deviation = 0.3
To find P(X<8.2)
P(X<8.2) =P(\(\frac{X-mean}{standard devaition}\)> \(\frac{8.2-8}{0.3}\))
= P (Z> 0.667)
=0.25239.
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Help me show your work
The value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The value of x that will satisfy this condition can be found by simplifying the given inequality. Therefore, The given inequality can be simplified as,
4x + 1 - 1 ≥ -8
4x ≥ -8
x ≥ -2
Hence, the value of x should be greater than or equal to -2. The number line from -2 to the entire right till ∞ of the number line will satisfy this condition.
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The acceleration of an object (in m/s2) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = Preview b) Find the object's displacement (in meters) from time 0 to time 3. Preview meters c) Find the total distance traveled by the object from time 0 to time Preview meters
a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.
The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):
v(t) = ∫(6 sin(t)) dt
Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:
v(t) = -6 cos(t) + C
To find the constant C, we use the initial velocity v(0) = -7 m/s:
-7 = -6 cos(0) + C
-7 = -6 + C
C = -1
Therefore, the equation for the object's velocity is:
v(t) = -6 cos(t) - 1
b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:
Displacement = ∫[0,3] (-6 cos(t) - 1) dt
Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:
Displacement = [-6 sin(t) - t] from 0 to 3
Plugging in the upper and lower limits:
Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]
Displacement ≈ -6 sin(3) + 3
Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.
c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:
Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt
Since the absolute value function makes the negative part positive, we can rewrite the equation as:
Total Distance = ∫[0,t] (6 cos(t) + 1) dt
Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:
Total Distance = [6 sin(t) + t] from 0 to t
Plugging in the upper and lower limits:
Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]
Total Distance = 6 sin(t) + t
Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
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Triangle A'B'C' is formed by a reflection over x = -1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between AABO
and AA"B"C"?
S
A"B" = 4BC
BC=4A"B"
AB 1
A"B"
=
00
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
What is equation ?An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Considering the data:
Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1
<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.
=> the connection between "ABC" and "A"B"C" .
\(\frac{AB}{A"B"} = \frac{1}{4}\)
We settle on C.
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
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In ΔPQR,
P
R
‾
PR
is extended through point R to point S,
m
∠
Q
R
S
=
(
7
x
+
8
)
∘
m∠QRS=(7x+8)
∘
,
m
∠
R
P
Q
=
(
x
+
12
)
∘
m∠RPQ=(x+12)
∘
, and
m
∠
P
Q
R
=
(
3
x
+
20
)
∘
m∠PQR=(3x+20)
∘
. Find
m
∠
R
P
Q
.
m∠RPQ
9514 1404 393
Answer:
m∠RPQ = 20°
Step-by-step explanation:
Exterior angle QRS is equal to the sum of interior angles RPQ and PQR.
7x +8 = (x +12) +(3x +20)
3x = 24 . . . . . . . . . . . . . . . . . . subtract 4x+8
x = 8
m∠RPQ = (x+12)° = (8+12)°
m∠RPQ = 20°
Convert: 200000 centimeters = __________ kilometers
Answer:
2km
Step-by-step explanation:
100000cm=1km
200000cm=
\( \frac{200000}{100000} km\)
=2km
I need help with this
Answer:
since k is the constant for any proportionality, simply do 48/4 since 48=y and 4=x or y/x, your constant will be equal to 12 as well as ur unit rate point since they said it is the same as your constant, your equation would be y=12x
Step-by-step explanation:
should i use area or circumfrence to find the distance of a track
Answer:
Circumference
Step-by-step explanation:
Circumference should be used because it is used to measure the distance around a shape
Area is used to measure the amount within a shape
Hope this Helps
Jason drove his car 5.5 miles and used 0.2 gallons of gas. How many miles did Jason drive per gallon of gas?
Answer: 2.75
per 0.1 gall
Rewrite the expression 2x + 5x/x+3 as one rational expression that is equivalent to the expression for all x values, where x ≠ -3.
I need an answer fast please this is due in 3 days and I don't know how to do it. Thanks in advance!
The equivalent rational expression for 2x + 5x/x+3 for all x values where x ≠ -3 is (2x^2 + 11x)/(x+3).
To rewrite the expression 2x + 5x/x+3 as one rational expression, we first need to simplify the expression 5x/x+3 by dividing both the numerator and denominator by x. This gives us:
5x/x+3 = 5/(1+3/x)
Now we can substitute this simplified expression back into the original expression and get:
2x + 5x/(x+3) = 2x + 5/(1+3/x)
To make this into one rational expression, we need to find a common denominator for the two terms in the expression. The common denominator is (x+3)/x. Multiplying the first term by (x+3)/x and simplifying, we get:
2x(x+3)/x + 5/(1+3/x) = (2x^2 + 6x)/x + 5/(1+3/x)
Now we can combine the two terms over the common denominator and simplify:
(2x^2 + 6x + 5x)/(x(1+3/x)) = (2x^2 + 11x)/(x+3)
Therefore, the equivalent rational expression for 2x + 5x/x+3 for all x values where x ≠ -3 is (2x^2 + 11x)/(x+3).
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Section B, Q5
please answer, it is urgent
what is the cpk for a process with specification limits of 48 and 30 and a process mean of 42 and sigma of 4?
1.00
6.00
0.5
1.5
The cpk for this process is 0.5.
To calculate the cpk for this process, we first need to calculate the process capability index (cp) using the formula:
cp = (USL - LSL) / (6 × sigma)
where USL is the upper specification limit (48), LSL is the lower specification limit (30), and sigma is the process standard deviation (4).
cp = (48 - 30) / (6 × 4)
cp = 18 / 24
cp = 0.75
Next, we can calculate the cpk using the formula:
cpk = min[(USL - mean) / (3 × sigma), (mean - LSL) / (3 × sigma)]
cpk = min[(48 - 42) / (3 × 4), (42 - 30) / (3 × 4)]
cpk = min[6 / 12, 12 / 12]
cpk = min[0.5, 1]
cpk = 0.5
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For want of a nail, the shoe was lost,
For want of a shoe, the horse was lost,
For want of a horse, the rider was lost,
For want of a rider, the battle was lost,
For want of a battle, the kingdom was lost,
And all for the want of a horseshoe nail.
From the above poem, we can deduce that the lack of one horseshoe could be either inconsequential or it could indirectly cause the loss of a war. Some systems are quite sensitive to their starting conditions, so a small change may cause a big difference in the outcome.
Keeping the above in mind, look at the following polynomials:
⦁ y = x
⦁ y = x2
⦁ y = x3
Does a slight change in the degree of the polynomials affect their graphs? If yes, show your results graphically, taking values of x as -3, -2, -1, 0, 1, 2 and 3 in every case.
The poem For Want of a Nail is a warning about how small things can have large and unforeseen consequences. The lack of a horseshoe could lead to the loss of a horse, which could result in the loss of a rider, which could lead to the loss of a battle.
This shows that a small change can cause a big difference in the outcome. We can see a similar phenomenon in the world of mathematics, where small changes in a function can lead to significant changes in its behavior. For example, the degree of a polynomial can have a dramatic effect on its graph. Let's consider the function y = x². This is a second-degree polynomial, which means that its graph is a parabola. If we change the degree of this polynomial to 1, then we get the function y = x, which is a straight line. If we change the degree of this polynomial to 3, then we get the function y = x³, which is a cubic curve. If we graph these functions for the values of x from -3 to 3, we can see how the slight change in the degree of the polynomial affects their graphs. The graph of y = x² is a parabola that opens upward. TThe graph of y = x is a straight line that passes through the origin. The graph of y = x³ is a cubic curve that passes through the origin and has two turning points. These graphs show that a small change in the degree of the polynomial can have a significant effect on its graph.For such more question on polynomial
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A square has a side of length 2xcm. in terms of X, what is the area
Answer:
4x^2
Step-by-step explanation:
2x(2x) It is a square so we multiply the side by the side to get the area.
=2*x*2*x
=4*x2
=4x^2
Two congruent ellipses are perpendicular to each other. Squares fill the gaps between the two ellipses as shown. Show that the side of the square equals half the minor axis of the ellipse.
The side of the square equals half the minor axis of the ellipse.
To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.
Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.
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HELP ME PLEASEEEE I NEED ITT !
Answer:
p=12
Step-by-step explanation:
a=l×b
a=219.6
l=18.3
b=?
219.6=18.3×b
Divide both sides by 18.3
And therefore b=12 yards
What are the coordinates of images 2? For B P Q
Recall that a reflection over a line y=k transforms the point (x,y) into:
\((x,k-(y-k))=(x,2k-y)\text{.}\)Therefore the given sequence of transformations will change point (x,y) into:
\((x,y)\rightarrow(x+3,y-3)\rightarrow(x+3,2(-2)-(y-3))=(x+3,-1-y)\text{.}\)Answer:
Since the original coordinates are P(-4,3), Q(0,3), and B(-3,-1), the coordinates of image 2 are:
\(\begin{gathered} P^{\doubleprime}(-4+3,-1-3)=P^{\doubleprime}(-1,-4), \\ Q^{\doubleprime}(0+3,-1-3)=Q^{\doubleprime}(3,-4), \\ B^{\doubleprime}(-3+3,-1-(-1))=B^{\doubleprime}(0,0)\text{.} \end{gathered}\)Trini rode her bike 12 miles on Friday. She rode 14 miles on Saturday and 15 miles on Sunday. How many miles did she ride in all?
Answer: 41
Step-by-step explanation:
12+14+15= 41