The radius of the copper specimen before deformation was 8 mm of a cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm
Given information:
Ductility (%el) of cold-worked copper = 25%Cold-worked radius = 10 mmTo find the radius of the copper specimen before deformation, we'll use the formula for calculating the ductility:
Ductility (%el) = ((Final radius - Initial radius) / Initial radius) * 100
Let's denote the initial radius as "r" (in mm). The final radius is 10 mm (after cold-working).
25% = ((10 - r) / r) * 100
Now, solve for "r":
25% = (10 - r) / r
Convert percentage into fraction:
25/100 = (10 - r) / r
Convert fraction into decimal:
0.25 = 10 - r/r
on Cross-multiplication gives:
0.25r = 10 - r
Add r on both sides gives,
1.25r = 10
On dividing by 1.25 gives:
r = 8 mm
So, the radius of the copper specimen before deformation was 9.75 mm.
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A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.
Answer:h=120 - (120•1/4)
Step-by-step explanation:
last question i have to ask ‘calculate the area of the shaded space’ please and thank you.
Answer:
21.5 square m
Step-by-step explanation:
You find the area of the shaded space by finding the area of the square and the removing the area of the circle.
The area for the square is 10x10=100.
All you have to do is follow the formula, (3.14)r^2. However, the 10 is NOT the diameter! The radius is half of the diameter. So, it's 3.14x5x5, which is 3.14x25=78.5.
Then, you can do 100-78.5=21.5
Which of the following points is in the solution set of y < x^2 - 2x - 8?
(4, 0)
(-2, -1)
(0, -2)
Answer:
(4,0)
Step-by-step explanation:
Out of the given answers (4,0) would be correct
Find the volume of the pyramid.
A) 22 cm3
B) 264 cm3
C) 132 cm3
D) 44 cm3
What is 10+10-4x3=??
I will give a free brainliest to the first person to respond to this question :)
Answer:
8
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]
Answer:
8
Step-by-step explanation:
4x3 first = 12
then just do left to right
10+10=20
20-12=8
Round 19525 to the nearest hundred
Answer:19,500
Step-by-step explanation: Yw.
Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2
2(x + 7) = x + 19
Use distributive property on left side;
2x + 14 = x + 19
Subtract 14 from both sides:
2x = x + 5
Subtract 1 x from both sides:
X = 5
What is the area of the triangle shown below ?3.7mm 4.8mm
please help I don't know the median
Answer:8
Step-by-step explanation:
least to greatest:6,8,8,9,9
crossout the ends:6,9 and 8,9
what is left in the middle:8
Answer:
6
Step-by-step explanation:
Median is the middle of the data set which is 6.
What's the volume of this container (QUICK)
Answer:
1468 in^3
Step-by-step explanation:
Multiply all of the larger box dimensions
10 * 10 * 15 = 1500 in^3
subtract the smaller box cut out corner
2 * 4 * 4 = 32
1500 - 32 = 1468 in^3
Suppose a city with population 100,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 21 years.
Answer:
205,000
Step-by-step explanation:
(100,000*0.05) *21 +100,000
A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Yes they are proportional
Answer:
A- yes
Step-by-step explanation:
If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.
F(x) =3x+8 find the inverse of f(x)
Answer:
Step-by-step explanation:
Hi!
To find the inverse, first we express your function as:
y = 3x - 8
Then, we interchange x and y variables:
x = 3y - 8
From there, we isolate y:
x + 8 = 3y
x/3 + 8/3 = y
Then, the inverse, g(x) = (x+8)/3.
We can check this by getting g(f(x)):
(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.
This is correct by the definition of the inverse function.
You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.
If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).
This means g(y) = (y+8)/3, the same answer.
Hope this helps!
Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.
Step-by-step explanation:
where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)
which statement is true about credit cards?
Answer:
it doesnt say any statement at all can you add them
The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.
Answer:
What is the probability of a sample mean?
The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step
What is the slope of the line in this graph? please help urgent
Answer:
(b) 5/7
Step-by-step explanation:
When determining slope from a graph, it is convenient to locate points on the graph where it crosses grid lines. This graph crosses the origin, and the point (7, 5). The slope is found by counting grid squares or by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -0) /(7 -0) = 5/7 . . . . . . . . . using points (0, 0) and (7, 5)
The slope of the line is 5/7.
Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?
m∠3 =
°
Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.
f(3) =
Answer:
I also need help with this I'm new to this app so id
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?
Answer:
surface area of the balloon is 199 cm^2
The train was scheduled to arrive at 5:10 p.m. However٫it was delayed for 25 minutes. What time was it when the train arrived?
Answer:
5:35 p.m.
Step-by-step explanation: Just add 25 to 5:10
Answer the one you would like!
first pic no 13
sec no 14
third no 15
shjdidifjie
How do we do this? The sub gave us the wrong work and isn’t explaining it! Help please!!!
Answer:
1) 18b - 3c - 10
2) [tex]1\frac{3}{4}[/tex]g + 7
3) 0.3y
4) -4n - 5
Step-by-step explanation:
1) 16b + 5c - 10 - 8c + 2b
like terms: 16b + 2b = 18b
like terms: 5c - 8c = -3c
like terms: -10
simplified: 18b - 3c - 10
____________
2) 1/2g + 2g - 3/4 g + 7
like terms: 1/2g + 2g - 3/4g
2 1/2 - 3/4
improper fraction > 5/2 > same denom > 10/4
10/4 - 3/4 = 7/4 > mixed number> 1 3/4g
like terms: +7
simplified: 1 3/4g + 7
____________
3) -0.9y + 4.4y - 3.2y
like terms: -0.9y + 4.4y - 3.2y
simplified: 0.3y
____________
4) 4 - 8n + 7n - 3n - 9
like terms: -8n + 7n - 3n = -4n
like terms: 4 - 9 = -5
simplified: -4n - 5
____________
Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.
1. 2(8x – 1) + 2(2x + 4)
2. 16x – 2 + 4x + 8
3. (20x + 6)
Step-by-step explanation:
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
if i help please give brainly
Answer:
below
Step-by-step explanation:
A B C E
all of them but D
Joe is 1.6 m tall. His shadow is 2 m long when he stands 3 m
from the base of a floodlight. What is the height of the floodlight?
Answer:
Step-by-step explanation:
The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute deviations of sidney’s and phil’s grades sidney phil mean 82 78 mean absolute deviation 3.28 3.96 which expression represents the ratio of the difference of the two means to sidney’s mean absolute deviation? startfraction 82 over 3.28 endfraction startfraction 4 over 3.28 endfraction startfraction 4 over 0.68 endfraction startfraction 82 over 0.68 endfraction
The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
What is mean absolute deviation?Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.
For this case, the table of mean and mean absolute deviation is given as:
[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]
(M.A.D refers to Mean Absolute Deviation).
So, difference in their mean is 82 - 78 = 4
Absolute deviation for Sidney is 3.28
Thier ratio is: 4/3.28
Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28
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Answer:
Option B: 4/3.28
Step-by-step explanation:
is 47°, what is the measure of Z3?
Ο Α. 1536
O B. 43
O C. 133
O D. 47°
Answer:
<3=C. 133
Step-by-step explanation:
Well, angle 2 and angle 3 are corrisponding angles, meaning that they are on the same line, and a line is always equal to 180, and 47 degrees is a part of that line, and you need the other part of that line for angle 3, so you simply subtract 180-47=133 degrees
pls help me
What is the volume of the figure?
Answer:
V = 76 ft³
Step-by-step explanation:
We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.
V of a rectangular prism = length*hight* width
V = V (big rectangular prism) + V (small rectangular prism)
V = (8·4·2) +(3·2·2)
V = 64 + 12
V = 76 ft³
Question 7 of 10
Which situation involves a conditional probability?
O A. The probability that you make a second free throw given that you
made the first free throw
B. The probability that you are given a book for your birthday
O C. The probability that you make two free throws in basketball
D. The probability that you roll a 6 on a number cube
SUBMIT
A) The probability that you make a second free throw given that you made the first free throw
i do not know this answer, i need help
Answer:
18 kilometers
Step-by-step explanation:
if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.
Answer:
s = 9 Km
Step-by-step explanation:
the perimeter is the sum of the 4 sides
given perimeter = 35 , then
10 + 7 + s + s = 35
17 + 2s = 35 ( subtract 17 from both sides )
2s = 18 ( divide both sides by 2 )
s = 9 Km