The correct option is: Z=0 and the algorithm segment provided is: i := 4 if (i < 4 or i >7).
Then z:= 1 else z := 0
To find the value of z when the algorithm segment is executed, we have to evaluate the if condition. Since i is equal to 4, the if condition in the statement will be false as 4 is not less than 4 or greater than 7.
The else condition will be executed which is z := 0.
Therefore, the value of z when the algorithm segment is executed is 0.
So, the correct option is: Z=0
To know more about algorithm visit:
https://brainly.com/question/28724722
#SPJ11
You can buy 3 T-shirts for $24. Write a proportion that gives the cost c of buying 7 T-shirts. $$
Answer:
3/24 = 7/x
c = $56
Step-by-step explanation:
A percent proportion is just basically a ratio, I could also write this as 3:24 = 7:x, it really doesn't matter. What does matter is that this is considered a percent proportion. Now, to solve a percent proportion, we have this formula.
a/b = c/d
Say b is the unknown value, we would do (a*d)/c, say a was the unknown value, we would do (b*c)/d, Basically, A and D are linked together and B and C are linked together so you take the two values that are linked together first, multiply them together, and divide by the pair that has a partner that is unknown.
help me solve these please. Im in integrated math 2
Answer:
1.
\( \frac{2}{5} = \frac{x}{15} \\ \\ 5x = 2 \times 15 \\ 5x =30 \\ x = \frac{30}{5} \\ x = 6\)
2.
\( \frac{4}{3} = \frac{x}{7} \\ 3x = 4 \times 7 \\ 3x = 28 \\ x = \frac{28}{3} \\ x = 9.33 \)
3.
\( \frac{7}{5} = \frac{28}{x} \\ 7x = 5 \times 28 \\ 7x = 140 \\ x = \frac{140}{7} \\ x = 20\)
4.
\( \frac{11}{4} = \frac{5}{x} \\ 11x = 5 \times 4 \\ 11x = 20 \\ x = \frac{20}{11} \\ x = 1.8\)
I hope I helped you^_^
Helpppp!
Fill in the blank with a number to make the expression a perfect square.
x^2+12x+______
Answer:
x² + 12x + 36
Step-by-step explanation:
Given the quadratic expression, x² + 12x + ___, with a missing constant value, c:
We can find the value of the constant by taking the coefficient of the middle term, dividing it by 2, and squaring its quotient. In other words, \((\frac{b}{2})^{2}\). In the given quadratic expression, b = 12. Substitute the value of b = 12 into \((\frac{b}{2})^{2}\), to find the value of the constant.
x² + 12x + \((\frac{b}{2})^{2}\)
x² + 12x + \((\frac{12}{2})^{2}\)
x² + 12x + (6)²
x² + 12x + 36 ⇒ This is the perfect square trinomial.
Therefore, the missing value for the constant, c, is 36, making the quadratic equation a perfect square trinomial, x² + 12x + 36.
i need the answer. (will give brainliest)
Answer:
Blue Triangle = Right Scalene
Yellow Triangle = Acute Isosceles
Pink Triangle = Acute Equilateral
Hope this helps!
What do you think happens to the graph
of f(x) = x2 if we multiply it by 3? Make a
guess. It undergoes a ...
I
A. Vertical Stretch
B. Vertical Shrink
Answer:
b. vertical shrink
Step-by-step explanation:
Q 42 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are: A-9000, 5400 B-10000, 6000 C-6000, 3600
Answer: Let's solve this problem step by step.
First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.
According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:
For An:
Income of An = Salary of An + Savings of An
Income of An = 5x + 2600
For B:
Income of B = Salary of B + Savings of B
Income of B = 3x + 1800
Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:
(Expenditure of An)/(Expenditure of B) = 9/5
Since expenditure is the complement of savings, we have:
[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5
Substituting the previously derived expressions for income, we get:
[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5
Simplifying the equation, we have:
5x / 3x = 9/5
Cross-multiplying, we get:
5 * 3x = 9 * 3x
15x = 27x
Subtracting 27x from both sides, we have:
0 = 12x
This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.
A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF
Answer:
/AC/=10.2
Mark as brainliest
Two thousand two hundred frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 124 liked Indianapolis best, 416 liked Saint Louis, 1225 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.) City Frequency Relative Frequency Indianapolis St. Louis Chicago Milwaukee
The frequency table will list the number of travelers who liked each city. In this case, 124 travelers liked Indianapolis best, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.
The frequency table will present the preferences of the frequent business travelers while the relative frequency table will express these frequencies as a proportion of the total number of travelers. It will list the four cities (Indianapolis, St. Louis, Chicago, and Milwaukee) and their corresponding frequencies, which represent the number of travelers who preferred each city. According to information provided, 124 travelers liked Indianapolis, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.
The relative frequency table will express the frequencies as proportions relative to the total number of travelers. To calculate the relative frequency, the frequency of each city will be divided by the total number of travelers, which is 2200 in this case.
The resulting proportions will be rounded to three decimal places. The relative frequencies will indicate the proportion of travelers who preferred each city relative to the total number of respondents.
To learn more about frequency table click here : brainly.com/question/29084532
#SPJ11
If Maria can read 8 pages in 40 minutes, how many pages can she read in 120 minutes?
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 21 to 49
Anybody knows 3x^2+6x-10 + 3x+5
solution:
3x^2+9x-5
i hope this helps
:)
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3:10. He sold 330 plastic cups from Box B and sold 1/3 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3:1. How many plastic cups were there in Box B at first?
The initial number of cups in Box B at first is given as follows:
810 cups.
How to obtain the initial number of cups?The initial number of cups in box B is obtained solving a system of equations, for which the variables A, B and C represents the amounts of each box.
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3:10, hence the initial amount of Box A is given as follows:
0.3 x 1500 = 450 cups.
Then:
B + C = 1500 - 450
B + C = 1050.
He sold 330 plastic cups from Box B and sold 1/3 of the plastic cups in = Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3:1, hence:
(B - 330)/(2C/3) = 3
B - 330 = 2C
C = 0.5B - 165
Replacing into B + C = 1050, the value of B is given as follows:
B + 0.5B - 165 = 1050
B = 1215/1.5
B = 810.
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
Solve the polynomial congruence x^2-3x+2 is congruent to 0 mod 5. Solve for x=? or x=?,when k is any integer
The solutions of x² - 3x + 2 ≡ mod 5 does not exist.
How to solve Polynomial Congruence?
We are given the Polynomial;
x² - 3x + 2 ≡ mod 5
Finding the roots of the equation gives;
x² - 2x - x + 2 = 0(mod 5)
x(x - 2) - 1(x - 2) = 0(mod 5)
Thus, RHS = 0(mod 5) = 0
The roots of the equation are;
x = 1 and x = 2
Thus, the solutions of x² - 3x + 2 ≡ mod 5 does not exist.
Read more about Modulo Arithmetic at; https://brainly.com/question/16032865
#SPJ1
Find two consecutive odd integers whose squares add up to 290.
Answer:
11, 13
Step-by-step explanation:
Let one of the odd positive integer be x , then the other odd positive integer is x+2.
Their sum of squares:
\(x^{2} +(x+2)^{2}\)
\(x^{2} +(x+2)(x+2)\)
\(x^{2} +x^{2} +4x+4\)
\(2x^{2} +4x+4\)
Given that their sum of squares = 290
\(2x^{2} +4x+4 =290\)
\(2x^{2} +4x = 286\)
\(2x^{2} +4x -286 = 0\)
\(x^{2} +2x -143 =0\)
\(x^{2}+13x-11x-143 =0\)
\(x(x+13)-11(x+13)=0\)
\((x+13)(x-11)=0\)
Therefore x = 11, x=-13
We take positive value of x:
So, x =11 and (x+2)= 11+2=13
Therefore , the odd positive integers are 11 and 13
would most people take the following gamble? flip a coin, if heads you win $75, if tails you lose $50. explain your answer.
Answer:
50/50 Chance
Step-by-step explanation:
I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.
-2x + 15 = 7
Show your work steps and the solution
Answer:
x=6
Step-by-step explanation:
-2x+15=7
-2x=7-15
-2x=-8
x=-8/-2
x=6
Answer:
-2x+15=7
-15 -15
-2x = -8
_ _
-2 -2
answer is x=4
what is the answer to number 2 at the top?
The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
Read more about transformation at
brainly.com/question/1548871
#SPJ1
PLEASE HELP IF YOU KNOW AP STATS OR HAVE TAKEN THIS QUIZ!! THANK U
The data set for the average height of men at a ballgame compared to their shoe size is represented by the table.
Table with two columns titled men's shoe size (U. S. ) and height (inches). Data values 7 and 64, 10 and 69, 12 and 72, 8 and 67, 9. 5 and 69, 10 and 70, 11. 5 and 75, 12. 5 and 73, 13. 5 and 71, 10 and 68.
Part A: What is the equation of the least-squares regression line? (3 points)
Part B: Carlos wears a size 9 and is 71 inches tall. What is the residual for Carlos's data? Show your work. (4 points)
Part C: Interpret the meaning of the residual from part B. (3 points)
An equation for the line of best fit for a men's height, y, based on her shoe size, x is; y = 0.25x + 66.6
What is a line of best fit?A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the men's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis.
By critically observing the scatter plot (see attachment) which models the data, we can reasonably deduce that an equation for the line of best fit is given by:
y = 0.25x + 66.6
Interpret the meaning of the residual from part B is given below.
Read more on line of best fit here:
brainly.com/question/12891189
#SPJ1
The medical department at a local government agency has compiled test results for sick Individuals who have been tested for the flu. They have found that not all people who test
positive for the flu actually have the flu, and some people who test negative for the flu actually have the flu. The following tree diagram shows the conditional relative frequencies.
Sick Individuals
O
O
23%
What percent of sick individuals test negative for the flu?
27%
75%
Have the flu
-25%
25% Do not have the flu
95%
92%
0000
Test positive
Test negative
Test positive
Test negative
Note that the percentage of sick people who tested negative for the flue is 25%. (Option D)
What is the rationale for the above response?For the flow chart or data map is given, notice that those who tested negative is clearly stated as 25%. This means that, if they were 100, then 25 of them tested negative.
Percentages are commonly used in data analysis to provide a relative measure of a quantity or to compare the frequency or proportion of an event across different groups.
They can help make sense of large datasets by summarizing key information in a simple and understandable way. Percentages can be used to calculate changes over time or between groups, to identify patterns and trends, and to communicate findings to a wider audience in a concise and accessible format.
Learn more about percentages:
https://brainly.com/question/29306119
#SPJ1
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Which of the following statements is not true about a rational function of the form f(x) where g and h are polynomial functions? O A. The graph of a rational function will never intersect a vertical asymptoto. OB. A rational function may have many vertical asymptotes. Ос. If the degree of gism and the degree of his n such that , then will have a horizontal asymptote with equation where is the leading coefficient of a and bm is the leading coefficient of h. D. A rational function mav have many horizontal asymptotes.
The statement that is not true about a rational function of the form f(x) where g and h are polynomial functions is D. A rational function may have many horizontal asymptotes.
A rational function is defined as the ratio of two polynomial functions, where g and h are polynomials and h is not the zero polynomial. The graph of a rational function can have vertical asymptotes, which occur when the denominator of the function is equal to zero. However, a rational function can intersect a vertical asymptote if the numerator is also equal to zero at that point.
Regarding vertical asymptotes, statement A is true. The graph of a rational function will never intersect a vertical asymptote, as long as the function is defined at that point.
Statement B is also true. A rational function may have multiple vertical asymptotes if the denominator has multiple factors that result in the function being undefined at different points.
Statement C is also true. If the degrees of g and h are m and n, respectively, and m is less than or equal to n, then the rational function will have a horizontal asymptote with an equation of y = (a/b).
However, statement D is not true. A rational function can have at most one horizontal asymptote, and this occurs when the degree of g is equal to the degree of h. The equation of the horizontal asymptote is y = (a/b), where a is the leading coefficient of g and b is the leading coefficient of h.
Learn more about denominator here: https://brainly.com/question/15007690
#SPJ11
The volume of air in a person's lungs can be modeled with a periodic function,
V (t) = 500 cos ( ² (t – 0.25)) + 1500, where V represents the volume of air, in
mL, in a person's lungs and time t is measured in seconds.
What is the midline and what does it represent in this
context?.
The midline is 1500. The midline in this context represents the average volume of air in a person's lungs over a period of time.
What is the midline and what does it represent in this context?The midline of a periodic function is the horizontal line that passes through the middle of the function's range.
For a function of the form V(t) = A cos(B(t - C)) + D, the midline is given by the equation y = D, which represents the average value of the function over a period.
In this case, the function is V(t) = 500 cos(²(t - 0.25)) + 1500, so the midline is given by the equation:
y = 1500
This represents the average volume of air in a person's lungs over a period of time.
Since the cosine function oscillates between -1 and 1, the actual volume of air in the person's lungs will oscillate around the midline, between 1500 - 500 = 1000 mL and 1500 + 500 = 2000 mL.
Learn more about periodic function on:
https://brainly.com/question/23427826
#SPJ1
Solve 3x − 2 = 37. a 2 b 5 c 7 d 9
Answer: x = 13
Step-by-step explanation:
To solve, we will isolate the variable.
Given:
3x − 2 = 37
Add 2 to both sides equation:
3x = 39
Divide both sides of the equation by 3"
x = 13
ZA and ZB are vertical angles with m/A=x and m/B= 4x - 30. What is m/A?
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
What are vertical angles?When two lines intersect at a location, vertical angles are generated. They are always on equal footing. In other words, four angles are generated anytime two lines cross or intersect. We can see that two opposed angles are equal, and these are referred to as vertical angles.
According to the given data:∠B= 4x - 30.
∠A = x
∠A and ∠B are vertical angles
so,
∠A =∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
m ∠A= x = 10
m ∠A = 10
∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.
To know more about vertical angles visit:
https://brainly.com/question/24460838
#SPJ9
find the 9th term of the following geometric sequence 10, 40, 250, 1250, ....
The 9th term of this geometric sequence 10, 40, 250, 1250, .... include the following: 655,360.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = 40/10
Common ratio, r = 4
For the 9th term, we have:
a₉ = 10(4)⁹⁻¹
a₉ = 655,360.
Read more on geometric sequence here: brainly.com/question/16423479
#SPJ1
what is the line integral of around the clockwise-oriented triangle with corners at the origin, , and ? hint: sketch the vector field and the triangle.
The actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.
To evaluate the line integral around the clockwise-oriented triangle with corners at the origin (0,0), (1,0), and (0,1), we need to sketch the vector field and the triangle and then calculate the integral.
Next, let's assume there is a vector field defined over the plane. Since you haven't provided the vector field explicitly, let's use a general notation and consider a vector field F = (P, Q), where P and Q are functions of x and y.
To calculate the line integral, we need to parameterize the triangle. We can divide the triangle into three line segments and parametrize each segment separately.
Line segment from (0,0) to (1,0):
Let's parameterize this segment as r(t) = (t, 0), where 0 ≤ t ≤ 1.
Line segment from (1,0) to (0,1):
Let's parameterize this segment as r(t) = (1 - t, t), where 0 ≤ t ≤ 1.
Line segment from (0,1) to (0,0):
Let's parameterize this segment as r(t) = (0, 1 - t), where 0 ≤ t ≤ 1.
Now, we can calculate the line integral for each segment and sum them up:
Line integral along the first segment:
\(\int(0 to 1) P(t, 0) dt + \int(0 to 1) Q(t, 0) dt\)
Line integral along the second segment:
\(\int(0\: to \:1) P(1 - t, t) dt + \int(0 \:to\: 1) Q(1 - t, t) dt\)
Line integral along the third segment:
\(\int(0 \:to \:1) P(0, 1 - t) dt + \int(0\: to \:1) Q(0, 1 - t) dt\)
Finally, the total line integral around the triangle is the sum of these three line integrals:
Total Line Integral = Line integral of segment 1 + Line integral of segment 2 + Line integral of segment 3
Please note that the actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.
Learn more about integral here:
https://brainly.com/question/31109342
#SPJ11
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2
Answer:
π(70)(√(70^2 + 50^2)) = π(700√74) m^3
= 18,918 m^3
Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
To know more about length,
https://brainly.com/question/32191269
#SPJ11
1 gallon water how many weight?
The weight of 1 gallon water is 10 pounds and the weight of 1 litre of water is 1 kilogram.
Also, one kilogram is approximately equal to 2.2046226218 lbs.
One US gallon is equal to 3.785411784 liter.
A gallon is a unit of volume in imperial units and US standard units. Three different versions are currently in use:
imperial gallon (imp gallon), defined as
.5
609 liters, is or was used in Great Britain, Ireland, Canada, Australia, New Zealand and some Caribbean countries;
US gallons (US gallon), defined as 3.785
1178
L,[1] (231 cubic meters), used in the United States and some Latin American and Caribbean countries; and
US dry gallons ("usdrygal"), defined as 1⁄8 US Bushel (exactly
.
0
88377086 L).
There are two pints in a liter and four liters in a gallon. Different sized pints correspond to different sized imperial and US gallons.
The IEEE standard symbol for both US (liquid) and imperial gallons is gal [2], different from gal (symbol: Gal), the CGS unit of acceleration.
know more about gallon click here;
https://brainly.com/question/26851748
#SPJ4
Choose the correct graph of LMN below.
After clockwise rotation 90°, we obtain vertices of image as (-2, -2), (-4, -5) and (2, -4). Therefore, option C is the correct answer.
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
Given that, triangle LMN with vertices L(2, -2), M(5, -4) and N(4, 2).
After clockwise rotation 90° we get
Here, L(2, -2) →L'(-2, -2)
M(5, -4) →M'(-4, -5)
N(4, 2) →N'(2, -4)
Therefore, option C is the correct answer.
Learn more about the rotation of 90° here:
brainly.com/question/1571997.
#SPJ1