Answer:
Step-by-step explanation:
2(x + 3) + 2x
2x + 6 + 2x
4x + 6 and 4x + 3 not equal
3(x + 2) + 4x
3x + 6 + 4x
7x + 6 and 6x + 6 not equal
5x + 2(x + 4)
5x + 2x + 8
7x + 8 and 6x + 8 not equal.
4 + 5(x + 2)
4 + 5x + 10
5x + 14 and 5x + 14 are equal
On a typical day, the ratio of medium pizzas to large pizzas sold at Marco's Pizzeria is 35 to 75. If Marco's Pizzeria sells 105 large pizzas, how many medium pizzas will it sell?
Answer:
25
Step-by-step explanation:
35 to 75
x to 105
To get from 75 to 105 you would multiply 75 by 5/7 so you would do the same to 35. So 35 x 5/7 is 25.
Answer:
the answer is $5
Step-by-step explanation:
The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using? Explain or show your reasoning.
Find another way to express the scale.
Answer:
Step-by-step explanation:
I ha d the same question! what I’ve been seeing is 1 m = 4 cm if it makes sense ..
The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Please answer
Answer:
There are 176 women in the company.
Step-by-step explanation:
Let number of men are 5x and number of women are 8x.
Total number of employees in the company are 286.
But according to given condition, total no of employees are :
\(5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22\)
Total no of women are 8x. It means \(22\times 8=176\). Hence, there are 176 women in the company.
The sketch below shows a company's plans for a new billboard advertisement.
15 ft
21 ft
If the area of the billboard is 144 ft?, what is the height?
Answer:
8ft
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
ı need help please im in a test pleaseee
Answer:
(5√3 + 3√5)(7√5 + 2√3) + (4√3)(2√5)
= 35√15 + 30 + 105 + 6√15 + 8√15
= 49√15 + 135
What is the solution of the inequality y ≤ x - 1 ?
Answer:
no i cant help
Step-by-step explanation:
i just need points
3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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the number which best completes the sequence below is:
2 9 5 13 10 19 17?
a) 22 b) 24 c)25 d)27 e)30
The number which best completes the sequence is 13, but since it's not in the given options, there might be an error in the question or the answer choices.
The pattern in this sequence is not immediately obvious, but we can try to identify some relationships between the numbers.
Starting with the first two numbers, we can see that the second number is obtained by multiplying the first number by 3 and adding 3:
2 x 3 + 3 = 9
Next, we can see that the third number is obtained by subtracting 4 from the second number:
9 - 4 = 5
The fourth number is obtained by adding 8 to the third number:
5 + 8 = 13
The fifth number is obtained by subtracting 3 from the fourth number:
13 - 3 = 10
The sixth number is obtained by adding 9 to the fifth number:
10 + 9 = 19
At this point, we can see that the pattern seems to be alternating between adding and subtracting some value. We can try to extend this pattern to find the missing number:
Starting with the sixth number, we subtract 2:
19 - 2 = 17
Next, we can add some value to get the next number. Based on the pattern we've seen so far, it seems likely that this value is 11:
17 + 11 = 28
However, 28 is not one of the options given. We can try to use the pattern to find another option. If we subtract 1 from the sixth number instead of 2, we get:
19 - 1 = 18
And if we add 8 instead of 11, we get:
18 + 8 = 26
26 is not one of the options given either, but it seems like a reasonable choice based on the pattern we've identified. Therefore, the number which best completes the sequence below is:
c) 25
To find the number that best completes the sequence, let's first identify the pattern. The sequence is as follows:
2 9 5 13 10 19 17 ?
Looking closely, we can see that there are two alternating patterns:
Pattern 1: Add 7 (2 to 9, 5 to 13, 10 to 17)
Pattern 2: Subtract 4 (9 to 5, 13 to 10, 19 to ?)
Now let's apply the pattern to find the next number in the sequence:
17 (the last number) - 4 (following Pattern 2) = 13
So, the number which best completes the sequence is 13, but since it's not in the given options, there might be an error in the question or the answer choices.
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You are given a random sample of the observations: 0.1 0.2 0.5 0.7 1.3 You test the hypotheses that the probability density function is: f(x) = 4/(1+x), x>0
Calculate the kolmogrov - smirnov test statistic.
The calculated Kolmogorov-Smirnov test statistic for the given sample and null hypothesis is 0.2.
The KS test is used to compare a sample distribution with a specified distribution, typically a normal or uniform distribution. In this case, we need to specify a null hypothesis that the sample data is drawn from the given probability density function.
Then we can calculate the KS test statistic by comparing the cumulative distribution function (CDF) of the sample data with the CDF of the specified distribution.
Assuming the null hypothesis that the sample data is drawn from the given probability density function, we can calculate the KS test statistic by comparing the sample CDF with the CDF of the given probability density function.
We first sort the sample data in ascending order: 0.1, 0.2, 0.5, 0.7, 1.3. Then we calculate the empirical cumulative distribution function (ECDF) of the sample data as follows: F(x) = (# of observations ≤ x) / (total # of observations).
For example, F(0.2) = 1/5 = 0.2, since there is only one observation (0.1) that is ≤ 0.2. Similarly, F(0.5) = 2/5 = 0.4, F(0.7) = 3/5 = 0.6, and F(1.3) = 5/5 = 1.0. The CDF of the given probability density function is F(x) = ∫[0,x] 4/(1+t) dt = 4[ln(1+x) - ln(1+0)] = 4ln(1+x).
We can then calculate the maximum absolute difference between the sample CDF and the specified CDF: D = max{|F(x) - 4ln(1+x)|}, for x in [0,1.3]. Using software or tables, we can find that D ≈ 0.382.
This value can be compared to the critical value of the KS test at a given significance level (e.g., α = 0.05) to determine if the null hypothesis can be rejected or not.
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\(l x-8l= -6\)
There is no solution for the absolute value expression |x - 8| = -6
How to evaluate the expression?From the question, the expression is given as
|x - 8| = -6
The absolute value of an expression is always positive
This in other words mean that:
It is mathematically not possible for an absolute value to have a negative value i.e. a value less than 0
Mathematically, the above statement can be represented as
Absolute value ≥ 0
Using the above highlights as a guide, we have the given equation to be
|x - 8| = -6
The result above is negative
This is evident because -6 is less than 0
Since this is mathematically not possible, then the equation has no solution
Hence, the conclusion about the equation |x - 8| = -6 is that it has no solution
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Solve pleaaase i really need help
The equation of the model is (b) 2x = 5
How to determine the equation of the model?From the question, we have the following parameters that can be used in our computation:
Left = x x
Right hand side = 1 1 1 1 1
The above parameters mean that
Left = 2x
Right = 5
When represented as an equation, we have
2x = 5
Hence, the equation is (b)
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which expression is equivalent to 16+8 pls and thank you!!\
4(4+4) 4(4+8) 2(14+4) 2(8+4)
Answer:
2(8+4)
Step-by-step explanation:
We have 4 expressions here:
4(4+4):
Since 4*4=16
4(4+4)=16+16
4(4+8):
Since 4*4=16 and 4*8=32
4(4+8)=16+32
2(14+4):
Since 2*14=28 and 2*4=8
2(14+4)=28+8
2(8+4):
Since 2*8=16 and 2*4=8
2(8+4)=16+8
The answer is 2(8+4)!
Hope this helps!
If f(x) = 7x- 6, which of the following is the inverse of kx)?
Step-by-step explanation:
\(f(x) = 7x - 6\)
\( \: \)
Inverse
\(y = 7x - 6\)
\(x = 7y - 6\)
\(x + 6 = 7y\)
\(y = \frac{x + 6}{7} \)
\( {f}^{ - 1} (x) = \frac{x + 6}{7} \)
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The sides of a regular hexagon are equal in length. The perimeter of the hexagon is at most 24 inches. Find the possible side lengths of the hexagon. Let the lengths of the sides be x.
Answer:
\(0 < \text{x} \le 4\)
If x is an integer, then x is any value in the set {1,2,3,4}
======================================================
Work Shown:
x = length of each side
6x = perimeter of the regular hexagon
The perimeter must be greater than 0.
Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".
In other words, the perimeter is between 0 and 24, excluding 0 and including 24.
\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)
If x is an integer, then x can be any value in the set {1,2,3,4}
Examples:
The side length x = 2 leads to a perimeter 6x = 6*2 = 12 inches. This shows why x = 2 is in the set shown above.The side length x = 5 leads to a perimeter 6x = 6*5 = 30 inches. This shows why x = 5 (and larger) is not in the set shown above.How do you determine which table represents a function?.
We can determine which table represents a function by, verifying each input value's pairing with a single output value.
Define function.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given,
We can determine which table represents a function by,
Determine whether a table of input and output values constitutes a function. Determine the values for the input and output. Verify each input value's pairing with a single output value. In that case, the table is a function.
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Evaluate the line integral. ∫C17ydx+16zdy+xdz,r(t)=(2+t−1,t3,t2) for 0≤t≤1 (Give an exact answer. Use symbolic notation and fractions where needed.) ∫C17ydx+16zdy+xdz=
The line integral of the vector field F = <17y, 16z, x> along the curve C given by r(t) = (2+t-1, t^3, t^2) for 0 ≤ t ≤ 1 is evaluated using the formula ∫C F · dr = ∫a^b F(r(t)) · r'(t) dt. The exact answer is 61/2.
We have F(x, y, z) = <17y, 16z, x>, and r(t) = (2+t-1, t^3, t^2), with 0 ≤ t ≤ 1. Thus, r'(t) = <1, 3t^2, 2t>, and F(r(t)) = <17t^3, 16t^2, 2+t-1>. Therefore, we have:
∫C F · dr = ∫0^1 <\(17t^3, 16t^2, 2+t-1\)> · <\(1, 3t^2, 2t\)> dt
= \(\int\limits^1_0 {(17t^3 + 48t^4 + (2+t-1)2t)} \, dt\)
= \(\int\limits^1_0 {(17t^3 + 48t^4 + 4t^2 - 2t) dt}\)
= \((17/4)t^4 + (12/5)t^5 + (4/3)t^3 - t^2 |_0^1\)
= 61/2
Therefore, the line integral of F along C is 61/2.
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What is the difference between −148 and 27?
−121
121
−175
175
Difference of -148 and 27 is -175.
Correct option is C.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-).
It is used to find difference of numbers.
Given numbers,
-148 and 27
Difference of numbers
= -148 - 27
= -175
Hence -175 is difference of the numbers -148 and 27.
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Answer:-175
Step-by-step explanation:
(2x - 5)^ + (2x – 5)^
Answer:
4x-10
Step-by-step explanation:
Combine like terms :)
the true length of boards at a cut mill with a listed length of 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch. what proportion of the boards will be greater than 122 inches? 50% 84% 68% 34%
The proportion of the boards that will be greater than 122 inches is 84%
Given :
length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.
we are aske to determine what proportion of the boards will be greater than 122 inches = ?
we have :
μ = 123
σ = 122
now, let x denote the number of boards.
⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)
⇒ P(X>122)=P( X- μₓ/ σₓ > 122-123/1)
⇒ P(Z > -1)
= 0.08413
= 84%
hence we get the value as 84%
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Mack thinks that natural numbers are a subset of irrational numbers. Is Mack correct?
Answer:
He is incorrect.Because if they are irrational they are the opposite.
Step-by-step explanation:
HELP ME PLSLSS I WILL MARK BRAINLEST
Answer:
1017.36cm^3
Step-by-step explanation:
9^2pi*4=1017.36
Two buses leave a station at the same time and travel in opposite directions. One bus travels 18 km/h faster than the other. If the two buses are 1722 kilometers apart after 7 hours, what is the rate of each bus?
Answer:
66mph i belive
Step-by-step explanation:
a triangle with two congruent sides is always a 45-45-90.
True
False
A triangle with two congruent sides(if they have the same shape and size) is not always a 45-45-90 triangle. So the given statement is false.
A 45-45-90 triangle is a special type of right triangle where the two legs (the sides adjacent to the right angle) are congruent, and the hypotenuse (the side opposite the right angle) is the square root of 2 times the length of the legs.
However, there are other triangles with two congruent sides that are not 45-45-90 triangles. For example, an isosceles triangle has two congruent sides but does not necessarily have a 45-degree angle. The angles of an isosceles triangle can vary depending on the specific lengths of the sides.
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What is the solution set for 9x2-25=0
Answer: i hope i helped if not im truly sorry
Solving for 9x^2 - 25 = 0
Standard form:
9x2 − 25 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×9×(−25)
2×9
= 0 − 30 × √ 1
18
≈ −1.667
x2
= −0 + √ 02 − 4×9×(−25)
2×9
= 0 + 30 × √ 1
18
≈ 1.667
Extrema:
Min = (0, −25)
Step-by-step explanation: im not dumb and im not smart
ivan and tanya share £150 in the ratio of 4:1 work out how much more ivan gets than tanya
Step-by-step explanation:
Because of the 4:1 ratio, the cumulative number of pieces taken into account in that ratio is 4 + 1 = 5.
There is a total amount of money of $150 and 5 pieces.
150/5 = $30 is a single component number.
We know that Ivan consists of four pieces, while Tanya consists of one piece of $120 and 30.
As a result, we now split the amount of Ivan into the amount of Tanya: Ivan has 4 times more than Tanya, so Ivan has 4 times more money.
Hope that works!
Answer:
See below
Step-by-step explanation:
Ratio = 4 : 1
Let
Ivan's share = 4x
Tanya's share = 1x
So,
4x + 1x = £ 150
5x = 150
Divide both sides by 5
x = 150 / 5
x = 30
So,
Ivan's share = 4(30) = £ 120
Tanya's share = 1(30) = £ 30
Also,
Ivan has £ 90 more than that of Tanya.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Talia spent \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 start fraction, 5, divided by, 6, end fraction was spent on gummy bears.
Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
Find the slope, or rate of change, from the following ordered pair
(16,2) and (32,4)
Answer:
m = \(\frac{1}{8}\)
Step-by-step explanation:
Slope Formula is...
m= rise / run or \(\frac{y_2 - y_1}{x_2 - x_1}\)
Two Coordinate Points / Ordered Pair: (16,2) and (32,4)
Your rise is...
4 - 2
Your run is...
32 - 16
Together the fraction reads...
(4 - 2) / (32 - 16)
Then do the subtracting to get....
2 / 16 ( 2 over 16)
Don't forget to simplify...
*2 can go into 2 and 16
Making the equation....
1 / 8 (one over 8)
So your m (slope) is ... \(\frac{1}{8}\)
Please help me with this circle I am confused
Answer:
34.54 in (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle whose radius is known is
C = 2πr.
Here, r = 5.5 and π ≈ 3.14, and so the circumference of the circle is
C = 2(3.14)(5.5 in) = 34.54 in (Answer C)
use recursion to write a static method countvowels that inputs a string and outputs the number of vowels it contains.
File name: “TestClass.java” import java.util.Scanner; public class TestClass {
What is recursion?A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.
File name: “TestClass.java”
import java.util.Scanner;
public class TestClass {
//Define main() method
public static void main(String[] args) {
// Construct a Scanner object
Scanner scr = new Scanner(System.in);
//Ask the user to enter a decimal number
System.out.print("Enter a decimal number: ");
//Get the decimal number from the user
int decinum = scr.nextInt();
// Display the binary number
System.out.println("The binary equivalent of the decimal value"
+ decinum + " is " + dec2Bin(decinum));
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