Answer:
4
Step-by-step explanation:
\(f(4)\) refers to when \(x = 4\)
Since \(4<5\), therefore \(f(4)=4\)
Hope this helps :)
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
Graph the inequality on the number line
B>-9 graph
Answer:
-9=9
Step-by-step explanation:
that the answer I think
200 = 1000 - n/4. What is the value of n? Show working out, please.
Answer:
n = 3200
Step-by-step explanation:
200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )
- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )
- 3200 = - n ( multiply both sides by - 1 )
n = 3200
use the criterion developed in mathchapter d to prove that δqrev in equation 6.1 is not an exact differential (see also problem d-11).
To prove that δqrev in equation 6.1 is not an exact differential, we can use the criterion developed in math chapter d. The criterion states that if a differential equation is exact, then its partial derivatives must satisfy the condition ∂M/∂y = ∂N/∂x.
In equation 6.1, δqrev is defined as δqrev = TdS. If we express δqrev in terms of its partial derivatives, we get:
∂(δqrev)/∂S = T
∂(δqrev)/∂T = S
Now, let's calculate the partial derivatives of ∂(∂(δqrev)/∂S)/∂T and ∂(∂(δqrev)/∂T)/∂S:
∂(∂(δqrev)/∂S)/∂T = ∂T/∂S = 0 (since T does not depend on S)
∂(∂(δqrev)/∂T)/∂S = ∂S/∂T = 0 (since S does not depend on T)
Since these partial derivatives are equal to zero, we can conclude that δqrev is not an exact differential, as it does not satisfy the condition ∂M/∂y = ∂N/∂x.
Therefore, we have proven that δqrev in equation 6.1 is not an exact differential.
To learn more about “partial derivatives” refer to the https://brainly.com/question/31399205
#SPJ11
an experimenter measures the weights of 5 mice, with the following weights in grams: 56, 59, 78, 56, 77. what is the standard deviation of the sample?
The value of standard deviation of the sample is 11.29 grams.
To calculate the standard deviation of a sample, we need to use the following formula:
s = sqrt [ Σ(xi - x)^2 / (n-1) ]
where s is the standard deviation of the sample, Σ(xi - x)^2 is the sum of the squared deviations of each data point from the sample mean, n is the sample size and x is the sample mean
To calculate the standard deviation for the weights of the 5 mice, we first need to find the sample mean:
x = (56 + 59 + 78 + 56 + 77) / 5 = 65.2
Next, we can calculate the sum of the squared deviations:
Σ(xi - x)^2 = (56 - 65.2)^2 + (59 - 65.2)^2 + (78 - 65.2)^2 + (56 - 65.2)^2 + (77 - 65.2)^2
= 82.36 + 41.64 + 156.64 + 82.36 + 147.56
= 510.56
Finally, we can calculate the standard deviation:
s = sqrt [ Σ(xi - x)^2 / (n-1) ] = sqrt [ 510.56 / (5-1) ] = sqrt [ 127.64 ] = 11.29
Therefore, the standard deviation is 11.29 grams.
To know more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
Which of the numbers below is greater than -3? Select all that apply.
A) - 2.5
B) - 1/2
C) - 7/2
D) 1.2
E) -1.5
Answer:
A,B,D,E
Step-by-step explanation:
On a number line, all of these would be closer to the positives than -3
Hope this helps! :)
Which translations of the pentagon below will result in a diagram of the pentagon and its image with line symmetry?
i) L6
ii) D5
iii) R2
iv) U3
Answer:
iii) R2
Step-by-step explanation:
What are the three types of horizontal asymptotes?
There are 3 cases to consider when determining horizontal asymptotes:
1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)
2) Case 2: if: degree of numerator = degree of denominator.
3) Case 3: if: degree of numerator > degree of denominator.
For a particular sampling distribution of sample mean, the mean of the sampling distribution is 18, the standard deviation of the sampling distribution is 3.1. What is the best interpretation of the above standard deviation
The standard deviation of a sampling distribution of sample means is often referred to as the standard error of the mean. In this case, with a standard deviation of 3.1 for the sampling distribution of sample means, the best interpretation is that it represents the variability or dispersion of the sample means around the population mean.
More specifically, it quantifies the average amount of deviation or spread that is expected between the sample means and the true population mean. In other words, it provides an estimate of the typical or expected error in using a sample mean as an estimate of the population mean.
Therefore, the standard deviation of 3.1 in the sampling distribution suggests that, on average, the sample means are expected to deviate from the true population mean by approximately 3.1 units.
Learn more about standard deviation here:
https://brainly.com/question/475676
#SPJ11
Answer part B (as part A is 75)
Answer:
because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.
3) (2 Marks) Find the range and codomain of the matrix transformation T A
, where A= \( {\left[\begin{array}{cc}1 & 2 \\ 1 & -2 \\ 0 & 1\end{array}\right] \). Is the result true if the functions are not linear? Justify your \( } \) answer.
T A can be seen as a linear transformation from R^2 to R^3.
To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:
T A (x) = A x
Therefore, T A can be seen as a linear transformation from R^2 to R^3.
To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:
A = (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])
The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].
To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.
If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.
Learn more about linear from
https://brainly.com/question/2030026
#SPJ11
Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is
solve for the missing elements. Show your work. Use 3.14 for pie 28 diameter
Answer:
Step-by-step explanation:
Good Question but i don't know
outside a home, there is -key keypad with letters that can be used to open the garage if the correct -letter code is entered. each key may be used only once. how many codes are possible
The number of possible codes depends on the number of keys on the keypad and can be calculated using factorial notation: n!, where n is the number of keys.
the keypad has a certain number of keys, and each key can be used only once in the code. This implies that the code length is equal to the number of keys on the keypad.
To calculate the number of possible codes, we can use the concept of permutations. In a permutation, the order of the elements matters, and repetition is not allowed.
If there are n keys on the keypad, the first key can be chosen in n ways. After selecting the first key, the second key can be chosen from the remaining (n-1) keys in (n-1) ways. Similarly, the third key can be chosen in (n-2) ways, and so on.
Therefore, the total number of possible codes is given by the product of these choices: n * (n-1) * (n-2) * ... * 2 * 1, which is equal to n factorial (n!).
For example, if the keypad has 4 keys, the number of possible codes would be 4 factorial (4!) = 4 × 3 × 2 × 1 = 24. So, there would be 24 different codes that can be entered using the available keys on the keypad.
Learn more about factorial here:
https://brainly.com/question/30136880
#SPJ11
PLEASE HELP ALGEBRA 2!!!
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
x^2-2x+3k=0 find k with D>0
sorry for the bad example.
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
Answer:
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
To learn more about arithmetic sequence from the given link:
https://brainly.com/question/15412619
#SPJ4
Can someone help me please
Answer:
c
Step-by-step explanation:
well you can see its not negative since your subtractiing negtivees witch is just adding a possivite and 64 is unreasonable
Answer:
A
Step-by-step explanation:
Bruh
(1 + tan’0) (1 - cos²0) = tan²0
Answer:
You have to apply Trigonometry Formula :
\( {sin}^{2} θ + {cos}^{2} θ = 1\)
\(1 + {tan}^{2} θ = {sec}^{2} θ\)
Next, you have to prove it :
\((1 + {tan}^{2} θ)(1 - {cos}^{2} θ) = {tan}^{2} θ\)
\(LHS = (1 + {tan}^{2} θ)(1 - {cos}^{2} θ)\)
\(LHS = ( {sec}^{2} θ)( {sin}^{2} θ)\)
\(LHS = ( \frac{1}{ {cos}^{2} θ} )( {sin}^{2} θ)\)
\(LHS = \frac{ {sin}^{2} θ}{ {cos}^{2} θ} \)
\(LHS = {tan}^{2} θ\)
\(∴LHS = RHS \: (proven)\)
If two events (both with probability greater than 0) are mutually exclusive, then? a. they also must be independent. b. they also could be independent. c. they cannot be independent
option c is correct that if the two events are mutually exclusive than they cannot be independent.
As, we know that "mutually exclusive events are those events that do not occur at the same time".
Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.
Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability of the other must be zero.
Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.
Find out more information about mutually exclusive events here:
https://brainly.com/question/17136647
#SPJ4
5. 37°. If maN = (13x)° what is the value of x and the maN?
The value of x is approximately 2.8462° and the value of maN is 37°.
To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
For more such questions on approximately
https://brainly.com/question/28521601
#SPJ8
Sports science researchers determined that, of those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has not had three or more injuries?
0.15
0.25
0.50
0.85
Answer:
Step-by-step explanation:
0.63 hope this helps
The required value of probability can be found as 0.85. The correct option is (D).
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.
Then, the probability of an event is equivalent to the percent value.
Now, the probability of skateboarders not having 3 or more injuries is given as,
⇒ 1 - P(Three or more injury)
⇒ 1 - 15/100
⇒ 0.85
Hence, the probability can be obtained for not having 3 or more injuries as 0.85.
To know more about probability click on,
https://brainly.com/question/11234923
#SPJ2
What is the equation of the line that passes through the point (-2,5)(−2,5) and has a slope of -4−4?
The equation is y = 4/1x + 13.
When you see #/# that is your slope while the last # in this form is your intercept.
Use pascal triangle to expand and simplify (5x+4y)³
Answer:
125x³+240xy²+64y³ +300yx²
Step-by-step explanation:
Row of pascals triangle to use is 1 3 3 1
For binomial expansion, use a³ +3a²b+3ab²+b³
Word problem about related rates, 30 points.
Answer:
\(\dfrac{dK}{dt}= \$ 1.08 \ \text{per week}\), the capital investment is decreasing.
Step-by-step explanation:
To find the rate at which capital investment is changing when output is kept constant, we need to differentiate the output function with respect to time, t, and solve for the rate of change of capital investment, dK/dt.
The given output function is:
\(Q = 90K^{2/3}L^{1/3}\)
To find the rate of change, we differentiate both sides of the equation with respect to time. First rearrange the equation.
\(Q = 90K^{2/3}L^{1/3}\\\\\\\Longrightarrow K^{2/3}=\dfrac{Q}{90L^{1/3}}\)
Now differentiating...
\(K^{2/3}=\dfrac{Q}{90L^{1/3}}\\\\\\\Longrightarrow 2/3 \times K^{-1/3} \times \dfrac{dK}{dt} = \dfrac{Q}{90L^{4/3}} \times -1/3 \times \dfrac{dL}{dt} \\\\\\\therefore \boxed{\dfrac{dK}{dt}=-\dfrac{Q}{180L^{4/3}K^{-1/3}} \times \dfrac{dL}{dt}}\)
Substitute in all our given values...
\(\dfrac{dK}{dt}=-\dfrac{Q}{180L^{4/3}K^{-1/3}} \times \dfrac{dL}{dt}\\\\\\\Longrightarrow \dfrac{dK}{dt}=-\dfrac{90K^{2/3}L^{1/3}}{180L^{4/3}K^{-1/3}} \times \dfrac{dL}{dt}\\\\\\\Longrightarrow \dfrac{dK}{dt}=-\dfrac{K}{2L} \times \dfrac{dL}{dt}\\\\\\\Longrightarrow \dfrac{dK}{dt}=-\dfrac{27}{2(1000)} \times 80\\\\\\ \therefore\boxed{\boxed{\dfrac{dK}{dt}=-\dfrac{27}{25}\approx -1.08}}\)
Thus, the capital investment is decreasing at a rate of $1.08 per week.
Eli sells refrigerators. His base salary is $250 per week, and his commission is $50 for each refrigerator (r) that he sells. He needs to make more than $900 this week. Which TWO statements are correct for this situation?
A) $50r + $250 < $900
B) $50r ≥ $900
C) $50r + $250 > $900
D) Eli needs to sell more than 13 refrigerators.
E) Eli needs to sell more than 15 refrigerators.
Answer:
C and e
Step-by-step explanation:
the 50r represents the commision he receives for each refrigerator he sells, and the 250 is the base salary and it’s bigger than, >, because he needs to earn MORE than 900 and you get D by solving the inequality, 50r >900, r>15
would be amazing if you marked this brainliest :)
Answer: the other guy is wrong it is c an d
Step-by-step explanation:
Evaluate the expression.
Answer:
-6.4 maybe sorry if I'm wrong I'm dumb right now :)
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
Learn more about cylinder current total cost https://brainly.com/question/25109150
#SPJ11
which two processes are best represented by the diagram below
Segregation and recombination are best represented by the diagram.
In molecular biology, segregation and recombination are key processes. Segregation is the process of dividing two separate alleles present in a single organism so they can each reproduce on their own. The two alleles split and then have individual copies in the daughter cells during cellular division.
On the other hand, recombination entails joining two distinct alleles to create a new allele that is distinct from both of them. Meiosis, when genes exchange parts between chromosomes, causes this to happen. This procedure causes variation in a population, which aids in the evolution of species. Recombination and segregation are necessary for organisms to live and adapt to their environment.
To learn more about Segregation link is here
brainly.com/question/14330237
#SPJ4
The complete question is:
Which two processes are best represented by the diagram above?
What is a credit card trap?
The payments each month cover interest and the remaining principal.
The payments each month do not cover all interest and no principal.
The credit card issuer charges such a low interest rate, that it is impossible to
pay off the card balance.
The payments each month cover interest and some principal.
The payments each month do not cover all interest and no principal. The correct answer would be an option (B).
A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.
Option A is incorrect as it's describing a common way payments work on credit cards.
Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.
Option D is also incorrect, as it's describing a common way payments work on credit cards.
Hence, the correct answer would be an option (B).
Learn more about the credit card here:
https://brainly.com/question/16333868
#SPJ1