Answer:
$40,000
Step-by-step explanation:
25% of x = $10,000
0.25x = 10,000
x = 10,000/0.25
x = 40,000
Answer: $40,000
Find the value of x in each case.
Answer:
Step-by-step explanation:
∠CGH = 14° {Vertical angles are congruent}
∠EGH = ∠EGC + ∠CGH
= 78 + 14
= 92
GH // EC and BG is transversal.
∠BEC = ∠EGH {Corresponding angles are congruent}
4x = 92
Divide both sides by 4
x = 92/4
x = 23°
a) Determine the minimum extrusion force (F) required to carry out this operation. Hence determine whether a 200 tonne (∼2×106 N) capacity extruder is capable of carrying out this extrusion. Assume that the volume of the material stays constant. The appropriate homogeneous work model equation is: F=σyA0lnI1/ I0 In the above equation: A0= Cross-sectional area before extrusion I1= Length after extrusion I0= Length before extrusion Question 7 An aluminium billet with a yield strength (σy) of 130MPa is to be hot extruded from a diameter of 80 mm down to a diameter of 20 mm.
The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.
To determine the minimum extrusion force (F) required for the hot extrusion process, we can use the homogeneous work model equation:
F = σyA0ln(I1/I0)
Given:
Diameter before extrusion (D0) = 80 mm
Diameter after extrusion (D1) = 20 mm
Yield strength (σy) = 130 MPa
First, we need to calculate the cross-sectional areas before and after extrusion.
A0 = π(D0/2)^2
A1 = π(D1/2)^2
Substituting the values, we get:
A0 = π(80/2)^2
= π(40)^2
= 1600π mm^2
A1 = π(20/2)^2
= π(10)^2
= 100π mm^2
Next, we need to calculate the lengths before and after extrusion.
I0 = π(D0)^2
I1 = π(D1)^2
I0 = π(80)^2
= 6400π mm
I1 = π(20)^2
= 400π mm
Now, we can substitute the values into the equation:
F = σyA0ln(I1/I0)
= (130 MPa)(1600π mm^2)ln(400π mm / 6400π mm)
Simplifying:
F = (130 MPa)(1600π mm^2)ln(1/16)
= (130 MPa)(1600π mm^2)(-2.7726)
≈ -719932.12π MPa mm^2
Therefore, the minimum extrusion force required is approximately -719932.12π MPa mm^2.
To determine whether a 200-tonne (2x10^6 N) capacity extruder is capable of carrying out this extrusion, we need to convert the force to newtons:
F (in newtons) = -719932.12π MPa mm^2 * 1 N/1 MPa mm^2
= -719932.12π N
Since the force is negative, we can take the absolute value to compare it with the extruder capacity:
|F| ≈ 719932.12π N
The extruder capacity is 2x10^6 N, which is greater than |F|, so the 200-tonne extruder is capable of carrying out this extrusion process.
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Need help don’t understand on how to get the answers
The equation that will have an equation that doesn't have a solution of a = 1 will be a - 5 = 4a.
How to illustrate the information?9a = 3a - 6
Collect like terms
9a - 3a = -6
6a = -6
a = -6/6
a = -1
-5 + a = 6a
-5 = 6a - a
5a = -5
a = -5/5
a = -1
a - 5 = 4a
4a - a = -5
3a = -5
a = -5/3
-23 + a/2 = 12a
-23 + a = 12a × 2
-23 + a = 24a
-23 = 24a - a
23a = -23
a = -23/23
a = -1
Therefore, the equation that will have an equation that doesn't have a solution of a = 1 will be a - 5 = 4a.
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What are the coordinates of point A?
I will give brainliest:)
Answer:
(-4,-3)
Step-by-step explanation:
Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile driven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Answer:
216 miles
Step-by-step
ex15.95+.73x=173.63
.73x=173.63-15.95
.73x=157.68
x=157.68/.73
x=216 miles driven.
PROOF;
15.95+.73*216=173.63
15.95+157.68=173.63
173.63=173.63
Answer: Keith drove the truck for 123 miles
Step-by-step explanation:
17.99+0.97m=137.30
Subtract 17.99 on both sides:
17.99-17.99+0.97m=137.30-17.99
0.97m=119.31
Divide 0.97 on both sides:
0.97m/0.97=119.31/0.97
m=123 miles
Solve for y:
-9.6 - y + 4.4y = -1.5
Answer:
y = 81/34
Step-by-step explanation:
-96+34y=-15
-96+34y+96=-15+96
34y=81
34y/34 = 81/34
y= 81/34
If the consumption function for Australia in 2021 is given as = 0.0052 + 0.3 + 20 where: C = total consumption of Australia in the year 2021 Y = total income of Australia in the year 2021 Calculate the marginal propensities to consume (MPC = ) and save when Y = 10. Assume that Australians cannot borrow, therefore total consumption + total savings = total income. Expert Answer
The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.
The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:
C = 0.0052 + 0.3(10) + 20
C = 0.0052 + 3 + 20
C = 23.0052
Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:
C' = 0.0052 + 0.3(Y + ΔY) + 20
C' = 0.0052 + 0.3Y + 0.3ΔY + 20
To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):
MPC = (C' - C) / ΔY
MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY
Simplifying the equation, we can cancel out the terms that don't involve ΔY:
MPC = (0.3ΔY) / ΔY
MPC = 0.3
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What is 278 minus 149
Answer:
129
Step-by-step explanation:
278 - 149 = 129
Answer:
the answer is 129
Step-by-step explanation:
278-149=129
after calculating the between-group sum of squares and the within-group sum of squares, the next step is to calculate the mean square between and the mean square within. this is achieved by .
You'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA. To calculate the mean square between and the mean square within after finding the between-group sum of squares and the within-group sum of squares, you can follow these steps:
mean squares:
1. Determine the degrees of freedom between groups (df_between):
Subtract 1 from the number of groups.
2. Determine the degrees of freedom within groups (df_within):
Subtract the number of groups from the total number of observations.
3. Calculate the mean square between (MS_between):
Divide the between-group sum of squares by the degrees of freedom between groups (MS_between = between-group sum of squares / df_between).
4. Calculate the mean square within (MS_within):
Divide the within-group sum of squares by the degrees of freedom within groups (MS_within = within-group sum of squares / df_within).
By following these steps, you'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA.
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Transformation of functions
A number increased by five percent result is then increased by five percent what is the percent of increase
Answer:
Step-by-step explanation:
On a map. 1 inch represents 3 miles. How many miles long is a road that is 2 1/2 inches long on the map?
Answer:
15/2
Step-by-step explanation:
2 1/2 = 5/2
x/(5/2) = 3/1
x = (5/2)3/1
x = 15/2
Answer:
7 1/2
Step-by-step explanation:
1=3
Turn the 2 1/2 to a decimal which is now 2.5
2.5=x
Find x by multiplying 2.5 and 3
2.5*3=7.5
Turn 7.5 back into a fraction
7.5=7 1/2
(K12) Interim Checkpoint: Grade 8 Checkpoint 4 - Part 1 answers:
1: Rectangle / 10
2: Triangle
3: 91. 125
4: Not valid / There is bias because of the location
5: Gold
6: Rectangle
7: 132. 54
8: 1,205. 62
9: 13. 4
10: 145. 5
11: 50 randomly selected users of the center's facilities
12: More teens play soccer than any other sport
13: Greater than / A
14: A typical guest at Party 1 was younger than a typical guest at Party 2, and guests' ages were more variable at Party 1 than at Party 2
15: About the same / Do not tend to
16: Not correct / 21%
17: 208
18: On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds / The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend
19: Can't / Similar
20: 2 resorts are about the same
simillar
Step-by-step explanation:
the similar is example for the math condition an help to provide the people and that beatifull answer and brainly part
The Highest Common Factor (HCF) of 48 and 72 is
Answer:
24
Step-by-step explanation:
because 24 is the highest between those two
Answer:
24
Step-by-step explanation:
GCF of 48 and 72 Examples
Therefore, the greatest common factor of 48 and 72 is 24.
to decrease sample error, a pollster must __________ the number of respondents.
A) issue-scale B) increase C) decrease D) underrepresented
The correct option is B) increase.
To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.
When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.
For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.
Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.
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Since the balll is at a height of 0 feet at x=0 and x=70, then the maximum height is archieved at x=35.Use the function rule to determine that maximum height and confirm it on the graph.h(x) = -0.03x (x-70)
The maximum height refers to the vertical coordinate of the vertex V(h,k), where
\(h=-\frac{b}{2a}\)According to the given equation, we have the following
\(h(x)=-0.03x(x-70)=-0.03x^2+2.1x\)Where a = -0.03 and b = 2.1
\(h=-\frac{2.1}{2\cdot(-0.03)}=\frac{2.1}{0.06}=35\)Then, we find k by evaluating the function when x = 35.
\(h(35)=-0.03\cdot35(35-70)=-1.05(-35)=36.75\)Hence, the maximum height is 36.75 feet.whats p divided by 3
ASAP HELP I HAVE TO GET A GOOD GRADE ON THIS
Answer:
Sounds like you have to pick an item in the room and say it in Spanish
what is the range of the function y = 2sin x?
The range of the function y = 2sin(x) is the set of all possible values that the function can take. The range of the function y = 2sin(x) is [-2, 2].
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function, sin(x), has a range between -1 and 1, inclusive. When we multiply the sine function by 2, as in the case of y = 2sin(x), the range is expanded.
Multiplying the range of sin(x) [-1, 1] by 2 gives us the range of 2sin(x), which is [-2, 2].
Therefore, the range of the function y = 2sin(x) is [-2, 2].
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can someone please help me? make it right..
Answer:
6.83and 7.03 this is the answer
Answer:
6.83, 6.93, 7.03, 7.13, 7.23, 7.33 always add .10 each time.
Step-by-step explanation:
yo help me out
ion pay attention
ty
Answer:
7%
Step-by-step explanation:
The mobile company charges $180 for an hour of service. How many dollars are customers charged every minute?
Answer: $3
Step-by-step explanation:
Since the company charges $180 for an hour of service, we can say that it charges $180 for 60 minutes of service.
Let the cost of service per minute be C
The equation would be
60C = 180
Simplify, and you'll get
C = 3
And there's your answer.
At the newest animated movie, for every 999 children, there are 444 adults. There are a total of 393939 children and adults at the movie.
How many children are at the movie?
Answer:
= 886362.75 children
Step-by-step explanation:
if 444 adults = 999 children
393939 adults= 393939adults x 999children
444adults
= 886362.75 children
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
5x6x7x5x85-1 what is the answer yo this question
Through multiplication and subtraction methods, we find out the answer to the given expression as 89249.
Here, the given expression is -
\(5*6*7*5*85-1\) ----(1)
We have to find out the answer to the above expression.
From equation (1), we see that the first 5 terms need to be multiplied with each other. And then we need to subtract 1 from the value of the multiplication of the first 5 terms.
Applying this to the equation (1), we have
\(5*6*7*5*85-1\\=(30*35*85)-1\\=(89250)-1\\=89249\)
Thus, by multiplication and subtraction method, we obtain the answer to the given question as 89249.
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How far is 50% of 480?
300
180
250
240
Answer:
240 is the answer mark brainliest <3
Answer:
c??? im guessing sorry if wrong.. :(
Step-by-step explanation:
If the null hypothesis is true, the F ratio for ANOVA is expected (on average) to have a value of 1.00. True or False?
The statement "If the null hypothesis is true, the F ratio for ANOVA is expected (on average) to have a value of 1.00" is true.
The reason is that the F-test for ANOVA evaluates the ratio of between-group variance to within-group variance.
If the null hypothesis is true, there will be no significant difference between the groups, and the variance between them will be roughly equal to the variance within them.
In that case, the F ratio will be close to 1.00, as the numerator and denominator will be approximately equal in value,
leading to the conclusion that the differences between the groups are not significant.
In summary, when the null hypothesis is true, the F ratio for ANOVA is expected (on average) to have a value of 1.00.
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The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board? 96 x Less-than-or-equal-to 149 96 x Greater-than-or-equal-to 149 96 x > 149 96 x < 149.
Inequality is mathematical statement, usually consisting comparison of two expression, and not being strictly equal. The needed inequality is: Option A : \(96 + x \leq 149\)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given condition, it is already given that the maximum seats available for passengers in the flight is 149.
The plane is currently filled with 96 passengers.
Let the variable \(x\) represents the number of people that will board on the plane.
Then, total number of passengers on the plane would be 96 + x
This number cannot exceed 149
We can write it mathematically as:
\(96 + x \leq 149\)
That sign ≤ means "less than or equal to"
Thus, the inequality needed is given by Option A : \(96 + x \leq 149\)
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Answer:
it is A answer in picture
Step-by-step explanation:
Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).
The value of determinant of the matrix det (AB) is 15.
Given matrices A and B are 3 by 3 matrices with
det (A) = 3 and
det (b) = 5.
We need to find the value of det (AB).
Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.
By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].
Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.

The determinant of AB can be calculated as det(AB) = det(A) × det(B)
= 3 × 5
= 15.
Conclusion: The value of det (AB) is 15.
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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)
=> det(AB) = 3 × 5
=> det(AB) = 15.
Hence, the value of det(AB) is 15.
The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:
det(AB) = det(A)det(B).
Given that: det(A) = 3
det(B) = 5
Now, let C = AB be the matrix product. Then,
det(C) = det(AB).
To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.
Given matrices A and B are: Matrix A and B:
[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]
= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].
We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.
det(A) = 3.
Therefore, det(AB) = det(A)det(B)
= 3 × 5
= 15.
Conclusion: Therefore, the value of det(AB) is 15.
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Helpppppppppppppppppppppppppp
Answer:
1.
\(x < - \frac{5}{13} \)
2.
\(x \geqslant - \frac{1}{5} \)
Step-by-step explanation:
↷
\( - \frac{13}{16}x + \frac{3}{8} < \frac{11}{16} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - \frac{3}{8 } < - \frac{3}{8} }{ \frac{ - \frac{13}{16}x }{ - \frac{13}{16} } < \: \: \: \frac{ \frac { 5}{16} }{ - \frac{ 13}{16} } } \\ \\ x < \frac{ - 5}{ \: 13} \)
↷
\( \frac{1}{3} \geqslant \frac{2}{9} - \frac{5}{9} x \\ \frac{ - \frac{ 2}{9} \geqslant - \frac{2}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ \: \: \: \frac{1}{9}x }{ - \frac{ 5}{9} } \geqslant \frac{ - \frac{5}{9} }{ - \frac{5}{9} } } \\ \\ x \geqslant - \frac{1}{5} \)