Step-by-step explanation:
1B.) Zero power rule
C.) 1
2B.) Product of powers rule
C.) y^(7+11) = y^18
3B.) Quotient of powers rule
C.) b^(18-5) =b^13
4B.) Power of a power rule
C.) 3^(2×2) =3^4= 81
5B.) None
C.) 729
There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.
Answer: 15
Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20
Answer:
there are 15
men in the dance recital
Step-by-step explanation:
urgent please!!!!!!!!!
Answer:
Step-by-step explanation:
1) Divide 50 by 7
2) Take that number and multiply it by 6.5 km
This works because the result of dividing 50/7 multiplied by 7 will give you 50, and if you multiple the result by 6.5 you will get your answer!
what is -14n+1=rt-4n, solving for n
The U.S. Navy submarine Trieste II reached a record altitude of -10.9 kilometers on January 23, 1960. A Russian MIG-25 jet reached a record altitude of 36.3 kilometers on July 25, 1973. What is the difference in these two altitudes? *
Answer:
Heheee
Step-by-step explanation:
hehehe
Solve for x.
(13x-32)
S
T
V
(7x + 22)°
U
Answer:
x=9
Step-by-step explanation:
13x-32 and 7x+22 are equal to each other (angles) so
13x-32=7x+22
13x-7x=22+32
6x=54
x=54/6
x=9
Using the formula A=P(1+r/n) ^nt calculate the value of an initial investment of $4,500 after 10 years at 4% interest, compounded quarterly (four times per year).
Answer:
Using the formula provided, the value of that investment after 10 years is
A = P(1 + r/n) ^nt
= 4500 x (1 + (4/100)/4)^(10 x 4)
= 4500 x (1.01)^40
= 6699.89$
Hope this helps!
:)
The value of that investment after 10 years is $6699.89
Important information:an initial investment of $4,500 after 10 years at 4% interest, compounded quarterlycalculation:\(A = P(1 + r/n) ^{nt}\\\\= 4500 \times (1 + (4/100)/4)^(10 \times 4)\\\\= 4500 \times (1.01)^{40}\)
= 6699.89
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A friend of mine is selling her company services after making herself a millionaire. so she has modeled her cost function as C(x) == - 1301+ 1000x + 200,000 and her total revenue function as R(x) = 600,000 + 70002 - 10/2 where is the total number of units sold. What should be for her praximize her profit? What is her maximum profit?
The maximum profit is achieved when we sell an infinite number of units, which is not realistic.
The profit function P(x) is given by:
P(x) = R(x) - C(x)
Substituting the given functions for R(x) and C(x), we get:
P(x) = 600,000 + 7000x2 - 10x - (-1301 + 1000x + 200,000)
Simplifying and collecting like terms, we get:
P(x) = 6900x2 + 990x + 198,699
To maximize profit, we need to find the value of x that maximizes the profit function P(x). We can do this by finding the critical point of P(x), which is the point where the derivative of P(x) is zero or undefined.
Taking the derivative of P(x), we get:
P'(x) = 13,800x + 990
Setting P'(x) to zero and solving for x, we get:
13,800x + 990 = 0
x = -0.072
Since x represents the number of units sold, it doesn't make sense to have a negative value. Therefore, we can conclude that the critical point does not correspond to a maximum value of profit.
To confirm this, we can take the second derivative of P(x), which will tell us whether the critical point is a maximum or a minimum:
P''(x) = 13,800
Since P''(x) is positive for all values of x, we can conclude that the critical point corresponds to a minimum value of profit. Therefore, the profit function is increasing to the left of the critical point and decreasing to the right of it.
To maximize profit, we should consider the endpoints of the feasible range. Since we can't sell a negative number of units, the feasible range is [0, ∞). We can calculate the profit at the endpoints of this range:
P(0) = 198,699
P(∞) = ∞
Therefore, the maximum profit is achieved when we sell an infinite number of units, which is not realistic.
In summary, the company should aim to sell as many units as possible while also considering the cost of producing those units. However, the given profit function suggests that there is no realistic value of x that will maximize profit, and the maximum profit is achieved only in the limit as x approaches infinity.
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The number of digits in prefect square of a number is n and n is odd, then its square root contains ____ digits
The equation for getting the number of digits in a square root is (n + 1) / 2.
Given,
The number of digits in perfect square of a number = n
n is an odd number.
We have to find the number of digits in it’s square root.
Let’s check ,
If n is taken as 3, the smallest odd number,
Take a perfect square of 3 digits.
Let’s take 100.
Square root of 100 is 10 and has 2 digits.
That is, (3 + 1) / 2 = 4/2 = 2
Now, perfect square with 5 digits.
10000 and its square root is 100 which has 3 digits.
Here, we can get as:
(5 + 1) / 2 = 6/2 = 3
So, in case of n, we can write it as:
(n + 1) / 2 = number of digits in square root
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Solve the following DE using separable variable method. (i) (x – 4) y4dx – <3 (y2 – 3) dy = 0. (ii) e-4 (1+ dx e-diety = 1, y(0) = 1.
(i) The given differential equation is (x - 4)y^4 dx - 3(y^2 - 3) dy = 0We need to solve the given differential equation using separable variable method.So, we can write the given differential equation as,(x - 4)y^4 dx = 3(y^2 - 3) dy
Taking antilogarithm on both sides, we get,|x - 4| = e^d |y^2 - 3|^(1/3) e^(-cy)or |x - 4| = ke^(-cy) |y^2 - 3|^(1/3) (where k = e^d)So, the general solution of the given differential equation is |x - 4| = ke^(-cy) |y^2 - 3|^(1/3).
(ii) The given differential equation is e^(-4) (1 + dx e^y) = 1 and y(0) = 1We need to solve the given differential equation using separable variable method.So, we can write the given differential equation as,(1 + dx e^y) = e^4Integrating both sides, we get,x + e^y = e^4x + e^y = c (where c is a constant of integration)Putting x = 0 and y = 1, we get,0 + e^1 = cSo, c = eSo,
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Directions: Determine whether each statement is always, sometimes, or never true.Name the theorem that will support your answer. Write your answers on the spaceprovidedStatementAnswerReason1. A line and a point are coplanar.2. Congruent angles form vertical angles.3. Linear pair that are congruent are rightangles.4. The sum of angles that formed linear pairis less than 180'.5. Vertical angles are complementary.
The given statement is 1. Always true
2. Always true
3. Always true
4. Sometimes true
5. Never true
Statement 1: A line and a point are always coplanar.
Answer: Always true.
Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.
Statement 2: Congruent angles form vertical angles.
Answer: Always true.
Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.
Statement 3: Linear pairs that are congruent are right angles.
Answer: Always true.
Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.
Statement 4: The sum of angles that form a linear pair is less than 180 degrees.
Answer: Sometimes true.
Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.
Statement 5: Vertical angles are complementary.
Answer: Never true.
Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.
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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.
To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.
Statement 1: A line and a point are coplanar.About angles here:
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plzzz help me what is 3[x -6]
Answer:
3x - 18
Step-by-step explanation:
What is the answer pls help
Answer:
The answer B
Step-by-step explanation:
I took the test
Answer:
The correct answer is 210 degrees.
Step-by-step explanation:
It's obviously obtuse so we can rule out 60 degrees. 105 degrees is closer to 90 degrees so we can rule that out. If it was 150 degrees, the angle would not look upside down. So, we can conclude that the measure of the angle would be 210 degrees.
X is a random variable that has a Binomial (10, 0.2) distribution and Yis a random variable that has a Binomial (10, 0.8) distribution. Which of the following are always true? E(X) = E(Y) False Var (X) Var (Y) True P(X = 3) = P(Y = 7) [Select ] P(Y = 10) = 0.810 (Select ] P(X = 1) = 0.2 (Select] .
A random variable that has a Binomial (10, 0.8) distribution. The correct selections are:
E(X) = E(Y) False
Var(X) Var(Y) True
P(X = 3) = P(Y = 7) True
P(Y = 10) = 0.810 False
P(X = 1) = 0.2 False
Using the properties of the binomial distribution, we can determine the following:
E(X) = np = 100.2 = 2 and E(Y) = np = 100.8 = 8, so the statement "E(X) = E(Y)" is False.
Var(X) = np(1-p) = 100.2(1-0.2) = 1.6 and Var(Y) = np(1-p) = 100.8(1-0.8) = 1.6, so the statement "Var(X) = Var(Y)" is True.
P(X=3) = (10 choose 3)(0.2)^3(0.8)^7 ≈ 0.201 and P(Y=7) = (10 choose 7)(0.8)^7(0.2)^3 ≈ 0.201, so the statement "P(X=3) = P(Y=7)" is True.
P(Y=10) = (10 choose 10)(0.8)^10(0.2)^0 = 0.1074 and P(X=1) = (10 choose 1)(0.2)^1(0.8)^9 ≈ 0.268, so the statement "P(Y=10) = 0.810" is False and the statement "P(X=1) = 0.2" is False.
Therefore, the correct selections are:
E(X) = E(Y) False
Var(X) Var(Y) True
P(X = 3) = P(Y = 7) True
P(Y = 10) = 0.810 False
P(X = 1) = 0.2 False
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Jen and Kamlee are walking to school. After 20
minutes, Jen has walked 45
mile. After 25
minutes, Kamlee has walked 56
mile.
Question 1
Part A
Find their speeds in miles per hour.
Enter the correct answers in the boxes.
Answer:
Fghcv
Step-by-step explanation:
Gvhv
The binary string 01001010001100 is a floating point number expressed using the 14-bit simple model given in your text. (there are no implied bits.) what is its decimal equivalent?
The binary string 01001010001100 is the number 9496 in decimal format.
This is further explained below.
What is its decimal equivalent?Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.
For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.
As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.
The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).
If there are any zeros in the provided number, the results of those locations will also be zero.
In conclusion, binary string 01001010001100 will be the figure
2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496
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What is the value of K?
After solving the quadratic equation, the value of k will be equal to 71.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
4x² - 5x = -6
4x² - 5x + 6 = 0
k = b² - 4ac
⇒ (-5)² - 4(4)(6)
k = 25- 96
k = -71 or,
k = i(71)
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¿Por que 10/25 es equivalente a 2/5?
Answer:
because if u divide the top and bottom by 5, you'll get 2/5
Step-by-step explanation:
Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir
Step-by-step explanation:
10 / 5 = 2
25 / 5 = 5
Which statement must be true
None of the statements a, b, c, or d can be determined to be true based solely on x ⇒ y and y ⇒ z.
Given that x ⇒ y and y ⇒ z, we can determine the valid implication between x and z.
To evaluate the possible truth values, let's consider the following cases:
If x is true and y is true:
Since x ⇒ y, the implication holds.
If y ⇒ z, the implication holds.
Therefore, z can be true in this case.
If x is true and y is false:
Since x ⇒ y, the implication does not hold.
The truth value of y ⇒ z is not relevant in this case.
Therefore, we cannot determine the truth value of z.
If x is false:
Since x ⇒ y, the implication holds vacuously, regardless of the truth value of y.
The truth value of y ⇒ z is not relevant in this case.
Therefore, we cannot determine the truth value of z.
Based on the above analysis, we cannot definitively conclude the truth value of z from the given information. Therefore, none of the statements a, b, c, or d can be determined to be true based solely on x ⇒ y and y ⇒ z.
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3m+5=8 is word form pls
Answer:
Three(m) + five = eight
Step-by-step explanation:
Three(m) + five = eight
Hope this helps :)
Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.
A) how many wedges did her children eat
B) how many wedges are left?
Sylvie finds the solution to the system of equations by graphing.
y=2/3x+1 and y = -2/3 x-1
Which graph shows the solution to Sylvie's system of equations? Plz help, it’s 15 points lol!!
Answer:
From the graph, it is clear that both lines intersect
at x=0 and y=2/3 or (0.667)
Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)
Step-by-step explanation:
Given the system of equations
y=2/3x+1 and y = -2/3 x-1
GRAH AND POINT OF INTERSECTION (SOLUTION)
The solution graph is attached below.
From the attached solution graph,
The red line is representing the equation y=2/3x+1 The blue line is representing the equation y = -2/3 x-1From the graph, it is clear that both lines intersect
at x=0 and y=2/3 or (0.667)
Thus, the point of intersection is (x, y) = (0, 2/3) or (0, 0.667)
Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)
PLEASE HELP ASAP (MATH)
WRITE IN STANDARD FORM!
3×10⁵
Step-by-step explanation:Hi there !
\(\frac{9.6*10^{7}}{3.2*10^{2}}=\\ \\=3*10^{7-2}\\ \\=3*10^{5}\)
Good luck !
3×10⁵ is the correct answer to the quest step bye step is
=3 x 10*7-2
=3x10*5
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
ı need help on this math assıgnment please on rationals
According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.
What is the correct classification for each number?A. 1: It is a real number because it can be plotted on the number line. It is rational because it can be expressed as a fraction (1/1). It is an integer, whole number, and natural number as well.B. 5.1: It is a real number and rational because it can be expressed as a terminating decimal (5.1 = 51/10).C. √(-142): It is a non-real number because the square root of a negative number is not defined in the real number system.D. π (Pi): It is an irrational number because it cannot be expressed as a finite or repeating decimal. It is a real number.E. 2/3: It is a rational number because it can be expressed as a fraction. It is a real number.F. ∛(-27): It is a non-real number because the cubic root of a negative number is not defined in the real number system.G. 0.671: It is a real number and rational because it can be expressed as a decimal.H. 3√7: It is an irrational number because the cube root of 7 cannot be expressed as a fraction or terminating decimal. It is a real number.I. 0: It is a real number and rational because it can be expressed as a fraction (0/1). It is an integer, whole number, and natural number as well.J. -√16: It is a real number and rational because the square root of 16 is 4.Learn more about numbers in: https://brainly.com/question/24908711
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Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
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Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot
Answer:
The width of the prisim is equal to 2.23 feet.
Step-by-step explanation:
let l is length and b is width.
Length, l = 4b
The volume of the prism is 160 ft³.
The height of the prism is 8 ft.
The formula for the volume of a prism is given by :
\(V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft\)
So, the width of the prisim is equal to 2.23 feet.
in a game there are 3 jars - i, ii, and iii. these jars contain identical small gift boxes with either a marble or a star inside them. jar 1 contains 3 small boxes with stars and 2 with marbles, jar 2 contains 2 with stars and 3 with marbles, and jar 3 contains 4 with stars and 1 with marble. the 3 jars are identical the probability of selecting any one of them is the same. bill randomly chooses a jar and then a small box. what is the probability that bill picks a box with a star in it?
The probability that bill picks a box with a star in it is 9/15
Probability :
In Mathematics, Probability is defined as the chances of an event will occur in random experiments. In simple words it is defined as the ratio of the number of favorable outcomes and the total number of outcomes. The Probability of an event is denoted by P(E)
Probability(E) = Favorable Outcomes/Total Outcomes
Here we have,
In a game, there are 3 jars - i, ii, and iii.
jar i contains 3 small boxes with stars and 2 with marbles,
jar ii contains 2 small boxes with stars and 3 with marbles
jar ii contains 4 small boxes with stars and 1 with marble.
From the above observations,
the probability of choosing one jar from 3 jars = 1/3
Now find the probability of choosing a box with a star in each jar
The probability of choosing a box with a star in Jar i = 3/5
The probability of choosing a box with a star in Jar ii = 2/5
The probability of choosing a box with a star in Jar iii = 4/5
From the above calculations,
The probability that bill picks a box with a star in it
= \(\frac{1}{3} . \frac{3}{5} + \frac{1}{3} . \frac{2}{5} + \frac{1}{3} . \frac{4}{5}\)
= \(\frac{3}{15} + \frac{2}{15} + \frac{4}{15}\)
= \(\frac{9}{15}\)
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Which of the following is a solution to the equation x^2 = -144?
A.) x=12
B.) x= -12
C.) x= -72
D.) this equation has no real solution
Answer: No real solutions
Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144
This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question
I need help with my Alg 2 work.
Help quickly if possible.
Thanks.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.
What are some examples of how exponential functions are employed in mathematics and in real life?Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.
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-4x+-3=-2x+-2
what is X?