We would have the exponents as;
1. x^7/4
2. 2^1/12
3. 81y^8z^20
4. 200x^5y^18
The exponentsA type of mathematical notation known as an exponent is used to represent the size of a number raised to a specific power or the repeated multiplication of a single integer. Powers and indexes are other names for exponents. They are used as a simplified form of repeated multiplication.
Given that that;
1) 4√x^3 . x
x^3/4 * x
= x^7/4
2) In the second problem;
3√2 ÷ 4√2
2^1/3 -2^1/4
2^1/12
3) In the third problem;
(3y^2z^5)^4
81y^8z^20
4) In the fourth problem;
(5xy^3)^2 . (2xy^4)^3
25x^2y^6 . 8x^3y^12
200x^5y^18
Learn more about exponents:brainly.com/question/5497425
#SPJ1
Will give brainliest. Explain in detail please!
p + 4 < -24
p<-20
p < 28
p<-28
p < 20
Answer:
p < -28
Step-by-step explanation:
This is a simple solve - all we have to do is treat it like a normal equation and solve for p. This involves only one step - subtract 4 from both sides. We now end up with p < -28. And there you are!
Answer:
C
Step-by-step explanation:
P+4< - 24
P< - 24 - 4........collection of like terms
P< - 28
Help!!! I don’t know what to do
Answer: the answer is axis of 3
Step-by-step explanation:
Can someone please help me with this?
Answer:
I think a is 4 bc if you do the problem the right way than I get four
WUTS THE ANSWER IM SO LOST I NEED HELP!!! :(
1/6 = 0.16 acres in 8 minutes.
--
0.16 ÷ 8 = 0.02 acres mowed in 1 minute.
--
(60 minutes in an hour)
0.02 x 60 = 1.2 acres mowed in an hour.
--
1.2 is equal to 1 1/5, and jami needs to mow 1 1/2 acres. so no, jami cannot mow 1 1/2 acres in an hour.
30 POINTS AND BRAINLIEST!!!
|
\ /
Using expression, the following provides one explanation for why there are two ways to add up the symbols on the tablet.
Describe expression.A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.
The hieroglyphic number system of ancient Egypt employed a decimal system with hieroglyphs to denote the powers of ten. It is challenging to give a precise response, though, without being able to see the precise symbols on the tablet.
It is feasible that there are two distinct ways to add the numbers represented by the symbols on the tablet, presuming that the tablet is employing a fundamental arithmetic operation like addition and that each symbol represents a different number.
Finding two different sets of integers that, when added together, yield the same answer is one way to approach this issue.
As an illustration, if the symbols stand for 2, 3, and 5, one technique to add them up would be:
2 + 3 + 5 = 10
They might also be added up as follows:
3 + 7 = 10
In this instance, the number 2 would be represented by the sign 2, and the number 5 by the symbol 3. This could be one reason for why the symbols on the tablet can be added in two different ways.
To know more about expression, visit:
https://brainly.com/question/14083225
#SPJ1
Select the correct answer.
Which line is the line of best fit for this scatter plot?
O A.
6
B.
CO
765432
876
1 2 3 4 5 6 7 8 9
the correct answer would be option B.
Select the angle(s) with measures that are greater than m<2
Answer:
1, 4, and 7
Step-by-step explanation:
The rest are equal to angle 2
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
Answer:
1887.6 ft³
Step-by-step explanation:
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
The formula for the volume of a cylinder is given as:
πr²h
From the above question,
r = 9.4 ft
h = 6.8 ft
The volume of the cylinder =
π × 9.4² × 6.8
= 1887.61966 ft³
Approximately = 1887.6 ft³
let a ∈ rn×n be a symmetric nonsingular positive semi-definite matrix, b ∈ rn, and c ∈r. show that ∫ x∈rn exp{−1 2 xt ax −xt b −c}dx
The integral is to zero for a symmetric nonsingular positive semi-definite matrix A, and the expression is
∫ x∈\(R^n\) exp\((-1/2 x^T A x - x^T b - c) dx\) = 0.
The integral ∫ x∈R^n exp(-1/2 x^T A x - x^T b - c) dx, where A is a symmetric nonsingular positive semi-definite matrix, b ∈ R^n, and c ∈ R, can be evaluated.
To evaluate this integral, we can make use of the Gaussian integral formula for multi-dimensional integrals. The formula states that:
∫ exp\((-1/2 x^T C x) dx = ((2π)^(n/2)) / sqrt(det(C)),\)
where C is a positive definite matrix.
In our case, A is a symmetric positive semi-definite matrix. Since A is positive semi-definite, we can write it as A = Q^T D Q, where Q is an orthogonal matrix and D is a diagonal matrix with non-negative eigenvalues. As A is symmetric and positive semi-definite, its eigenvalues are non-negative.
Now, we can rewrite the integral as:
∫ exp\((-1/2 x^T A x - x^T b - c) dx = exp(-c) ∫ exp(-1/2 x^T A x - x^T b) dx.\)
Let's complete the square inside the exponent to further simplify the integral. We can rewrite the exponent as:
\(-1/2 x^T A x - x^T b = -1/2 (x^T A x + 2 x^T (A^-1 b)),\)
where A^-1 is the inverse of A.
Now, let's substitute y = x + A^-1 b. We have dy = dx, and the integral becomes:
exp(-c) ∫ exp(-1/2 y^T A y) dy.
At this point, we can apply the Gaussian integral formula mentioned earlier, with C = A. Therefore, the integral becomes:
exp(-c) ((2π)^(n/2)) / sqrt(det(A)).
Since A is positive semi-definite, its determinant is non-negative. So, we have sqrt(det(A)) = sqrt(0) = 0 for a positive semi-definite matrix A.
Therefore, the integral evaluates to zero for a symmetric nonsingular positive semi-definite matrix A, and the expression becomes:
∫ x∈R^n exp(-1/2 x^T A x - x^T b - c) dx = 0.
Thus, the integral is equal to zero.
Learn more about integral here
https://brainly.com/question/30094386
#SPJ11
Find the area of this below, giving your answer to 1 decimal place.
The total surface area of the shape is 198.6cm²
What is mensuration?Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc.
From the given figure the two semi circles left and right can be resolved as a whole (a complete circle) with diameter d 10cm
Radius r = 10/2= 5cm
Area of circle A= πr²A= 3.142*5²
A= 3.142*25
A= 78.55
A= 78.6cm²
The remaining part of the shape is a rectangle with length (22-10)= 12cm
I.e the 10 is as a result of the radius of the two semi circles = r+r= 5+5=10
The rectangle has a width of 10cm
Area of rectangle A=12*10= 120cm²
Hence the total surface area of the shape
Total area = 120+78.6 = 198.6cm²
Learn more about mensuration on:https://brainly.com/question/13077063
#SPJ1
Complete the proof that XY - UZ.
Z
Y
Х
V
U
W
a red mustang is a(n) _____ of the car class.
INSTANCE.
In my opinion a red mustang is an instance of the car class.
You can learn more about this through the link below:
https://brainly.com/question/22143309#SPJ4
compute dy using the function y=−4x−2 as x goes from 3 to 2.9.
In this case, the y-values for x = 3 and x = 2.9 are -14 and -13.6, respectively. Therefore, the change in y, or dy, is 0.4.
To compute dy using the function y = -4x - 2 as x goes from 3 to 2.9, we can calculate the difference in y-values between these two x-values.
First, we substitute x = 3 into the equation y = -4x - 2:
y = -4(3) - 2
y = -12 - 2
y = -14
Next, we substitute x = 2.9 into the equation y = -4x - 2:
y = -4(2.9) - 2
y = -11.6 - 2
y = -13.6
The change in y (dy) is the difference between the two y-values:
dy = -13.6 - (-14)
dy = -13.6 + 14
dy = 0.4
To calculate dy, we need to find the change in y-values corresponding to the change in x-values.
By substituting the given x-values into the equation y = -4x - 2, we find the corresponding y-values. The difference between these two y-values represents the change in y, which is denoted as dy.
Therefore, the value of dy, when x goes from 3 to 2.9 using the function y = -4x - 2, is 0.4.
To know more about value click here
brainly.com/question/30760879
#SPJ11
Exercise 8.5. Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assume X and Y independent. A rectangle is drawn with side lengths X and Y +1. Find the expected values of the perimeter and the area of the rectangle.
Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assuming X and Y independent, then the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.
For the expected values of the perimeter and area of the rectangle, we need to calculate the expected values of X and Y first, as well as their respective distributions.
We have,
X is a geometric random variable with parameter p =
Y is a Poisson random variable with parameter λ = 4
X and Y are independent
For a geometric random variable with parameter p, the expected value is given by E(X) = 1/p. In this case, E(X) = 1/p = 1/.
For a Poisson random variable with parameter λ, the expected value is equal to the parameter itself, so E(Y) = λ = 4.
Now, let's calculate the expected values of the perimeter and area of the rectangle using the given side lengths X and Y + 1.
Perimeter = 2(X + Y + 1)
Area = X(Y + 1)
To find the expected value of the perimeter, we substitute the expected values of X and Y into the equation:
E(Perimeter) = 2(E(X) + E(Y) + 1)
= 2( + 4 + 1)
= 2( + 5)
To find the expected value of the area, we substitute the expected values of X and Y into the equation:
E(Area) = E(X)(E(Y) + 1)
= ( )(4 + 1)
= 5
Therefore, the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.
To know more about Geometric and Poisson random variable refer here:
https://brainly.com/question/32295808#
#SPJ11
What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
To know more about calculate visit:
https://brainly.com/question/30151794
#SPJ11
An experimenter conducted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.44. If the experimenter had conducted a one-tailed test on the same set of data, which of the following is true about the possible p-value(s) that the experimenter could have obtained? 0.94 (A) The only possible p-value is 0.22. (B) The only possible p-value is 0.44. The only possible p-value is 0.88. (D) T'he possible p-values are 0.22 and 0.78.18 (E) The possible p-values are 0.22 and 0.88. az
The correct answer is (E) The possible p-values are 0.22 and 0.88.
If the experimenter conducted a one-tailed hypothesis test on the same set of data, the possible p-value(s) that they could have obtained would depend on the direction of the test.
In a one-tailed test, the hypothesis is directional and the experimenter is only interested in one side of the distribution (either the upper or lower tail). Therefore, the p-value would only be calculated for that one side.
If the original two-tailed test had a p-value of 0.44, it means that the null hypothesis was not rejected at the significance level of 0.05 (assuming a common level of significance).
If the experimenter conducted a one-tailed test with a directional hypothesis that was consistent with the direction of the higher tail of the original two-tailed test, then the possible p-value would be 0.22 (half of the original p-value). If the directional hypothesis was consistent with the lower tail of the original two-tailed test, then the possible p-value would be 0.88 (one minus half of the original p-value).
Therefore, the correct answer is (E) The possible p-values are 0.22 and 0.88.
Learn more about hypothesis test here,
https://brainly.com/question/31481964
#SPJ11
what is the simplified square root of -20?
Answer:
do you mean -2\(\sqrt{5}\)?
Step-by-step explanation:
ANSWER FOR POINTS just doing this for people who dont know alot
Answer:
Thanks for the points! <3
find the size of unknown angles
Step-by-step explanation:
Hope it is helpful for you
thank you
Answer:
Step-by-step explanation:
2∠0PQ = 36
∠OPQ = 36/2 = 18°
Join OQ,
ΔOPQ is an isosceles triangle as OP = OQ = radius
∠OQP = ∠OPQ {Angles opposite to equal sides are equal}
∠OQP = 18°
∠ORQ = 36
ΔORQ is an isosceles triangle as OR = OQ = radius
∠OQR = ∠ORQ {Angles opposite to equal sides are equal}
∠OQR = 36°
∠PQR = ∠PQO + ∠OQR
= 18 + 36
∠PQR = 54°
∠POR = 2*∠PQR {Central angle theorem}
= 2 * 54
∠POR = 108°
∠PQR + ∠PSR = 180 {Opposite angles of cyclic quadrilateral}
54 + ∠ PSR = 180
∠PSR = 180 - 54
∠PSR = 126°
∠PSR + ∠RST = 180 {linear pair}
126 + ∠RST = 180
∠RST = 180 - 126
∠RST = 54°
when a single arithemetic / logic unit (alu), which does the math in a processor, is given 2 independent register sets so that it can quickly alternate between running 2 separate threads, we call it
When a single arithemetic / logic unit (alu), which does the math in a processor, is given 2 independent register sets so that it can quickly alternate between running 2 separate threads, we call it simultaneous multithreading.
Simultaneous multithreading, or "SMT," is the term used when a single Arithmetic/Logic Unit (ALU) is given two independent register sets to swiftly switch between operating two distinct threads.
SMT is a technique used in processor design to improve overall performance by allowing multiple threads to be executed concurrently on a single physical processor core. It enables the ALU to switch between different threads, or sets of instructions, rapidly, providing the illusion of simultaneous execution and effectively utilizing the available resources.
Learn more about multi thread at https://brainly.com/question/31783204
#SPJ11
Pls answer ASAP it is almost due TYSMMM
There are 357 people attending a school play.
Assuming that all but one row of seats in the
theatre is completely full and that each row fits
24 people, how many rows of seats are there in
the theatre?
There are 15 rows of seats in the theater
How to determine the number of rows?The given parameters are:
Total number of people = 357People per row = 24The number of rows is calculated as:
Rows = Total number of people/People per row
This gives
Rows = 357/24
Evaluate the quotient
Rows = 14.875
Round up the number
Rows = 15
Hence, there are 15 rows of seats in the theater
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ1
evaluate this pls quiick i have 18 min left online exams help
-0.0004 x 0.02
Given:
The expression is:
\(0.0004\times 0.02\)
To find:
The value of the given expression.
Solution:
We have,
\(0.0004\times 0.02\)
It can be written as:
\(=\dfrac{4}{10000}\times \dfrac{2}{100}\)
\(=\dfrac{8}{1000000}\)
\(=0.000008\)
Therefore, the value of the given expression is 0.000008.
how long in minutes will the energy in an 871 kj (208 kcal) cup of yogurt last in a woman doing work at the rate of 155 w with an efficiency of 20.0% (such as in leisurely climbing stairs)?
The energy in an 871 KJ cup of yogurt will last for 18.71 minutes .
In the question ,
it is given that ,
efficiency is = 20% = 0.20 .
the rate of work is 155W ,
we know that Efficiency = \(\frac{E_{obtain} }{E_{consumed} }\)
substituting the values ,
we get ,
\(E_{consumed}\) = 155/0.20
= 775 J/sec .
This means that for work of 155W it require to consume energy at the rate of 775 J/sec .
we know that the formula for time , energy and rate is
Time = Energy/Rate
time = 871000/775
= 1123 seconds
= 18.71 minutes
Therefore , The energy in the yogurt will last for 18.71 minutes .
Learn more about Efficiency here
https://brainly.com/question/13082009
#SPJ4
The function h is given by h (a) = In(t sint + 5)dt for 1 <<7. On what intervals, if any, is I decreasing?A 2.0294.413B 4.3235.461C 14.322 and 5.461 <<7D There are no intervals on which h is decreasing.
For the function h (a) = In(t sint + 5)dt the decreasing interval is 14.322
The function h is a mathematical expression that relates a variable "a" to the result of an integral of another function.
In this specific case, the integral is calculated for the function "t sin t + 5" with respect to "t" from 1 to "a".
We can use differentiation to find the critical points of "t sin t + 5" and determine if it is increasing or decreasing over the interval.
We find that the function has a critical point at t = π/2, where it changes from increasing to decreasing. This means that the function h is decreasing over the interval (π/2, 7).
However, for values of "a" less than π/2, the function being integrated is increasing, meaning the function h is also increasing for those values of "a".
Therefore, option (c) is correct.
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
PLEASE HELP
What is the middle term of the product of (x - 4)(x - 3)?
A. x
B. -7 x
C. - x
Answer:
x^2−7x+12 so -7x
Step-by-step explanation:
. A soccer team spent $183 on 15 new soccer balls. Each ball cost the same. Find the exact cost of each soccer ball. Show all work.
Answer:
Each soccer ball cost $12.20
Step-by-step explanation:
183/15 = 12.20
find the slope of the following 2 points (2,-5), (9,3)
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
The midpoint of AB is M(0, -7). If the coordinates of A are (-2,-6), what arethe coordinates of B?Answer:Submit AnswerPASSA
Explanation:
The coordinates are given below are
\(\begin{gathered} A(-2,-6) \\ M(0,-7) \\ B=(x,y) \end{gathered}\)The image is given below as
To calculate the coordinate of A,we will use the formula below
\(M=\frac{(x_1+x_2}{2},\frac{y_1+y_1}{2})\)By substituting the values, we will have
\(\begin{gathered} M=\frac{x_1+x_2}{2},\frac{y_{1}+y_{1}}{2} \\ (0,-7)=\frac{-2+x)}{2},(\frac{-6+y}{2}) \\ \frac{-2+x}{2}=0,\frac{6+y}{2}=-7 \\ -2+x=0,6+y=-14 \\ x=2,y=-14+6 \\ x=2,y=-8 \end{gathered}\)Hence,
The coordinate of B will be
\(B=(2,-8)\)Translate the following sentence into an algebraic equation: 3 times "r" less than
15 equals 6.*
A. 3(15) - r = 6
B. 15 - 3r = 6
C. 3(r - 15) = 6
D. 6r = 15-3
Answer:
Step-by-step explanation:
The function f is given by the table of values as shown below.
x 1 2 3 4 5
f(x) 9 11 15 23 39
Use the given table to complete the statements.
The parent function of the function represented in the table is
.
If function f was translated up 5 units, the
-values would be
.
A point in the table for the transformed function would be
.
The parent function for this function represented in the table is an exponential function.
We have given that,
The function f is given by the table of values as shown below.
x 1 2 3 4 5
f(x) 9 11 15 23 39
What is an exponential function?
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula
f(x) = eˣ
11 - 9 = 2 = 2¹
15 - 11 = 4 = 2²
23 - 15 = 8 = 2³
39 - 23 = 16 = 2⁴
Therefore, we can deduce that the parent function for this function represented in the table is an exponential function.
If function f was translated up to 5 units, then f(x) values would be increased by 5. Also, a point in the table for the transformed function is equal to (1, 4).
To learn more about the exponential function:
https://brainly.com/question/8844911
#SPJ1