1. Amir, who is two-thirds of his sister, Manisha's
age, is 10 years of age. Find Manisha's age.
Answer:
Manisha age = 15 years
Step-by-step explanation:
Let
Manisha age = x
Amir = 2/3 of Manisha age
Amir = 10 years
Amir:
2/3 of x = 10
2/3 * x = 10
2/3x = 10
x = 10 ÷ 2/3
= 10 × 3/2
= (10*3)/2
= 30/2
= 15
x = 15 years
Therefore,
Manisha age = 15 years
What is -x-y=5 in function form solving for y
Answer:
f(x) = - x - 5
Step-by-step explanation:
- x - y = 5 ( multiply through by - 1 )
x + y = - 5 ( subtract x from both sides )
y = - x - 5 , that is
f(x) = - x - 5
Line p is parallel to line q. If the
measure of angle 3 is 54°, what is
the measure of angle 6?
р
1
3 = 54°/4
5/6
7
q
Enter
Answer:
Alternate interior angles are congruent so 3 = 6. 54 degrees
Step-by-step explanation:
Part 1: Use the first 4 rules of inference to provide
logical proofs with line-by-line justifications for the following
arguments.
(2) 1. A > (E > ~F)
2. H v (~F > M)
3. A
4. ~H /E > M
To provide Logical Proofs with line-by-line justifications for the following arguments,
Let's use the first 4 rules of inference.
Given below is the justification for each step of the proof with the applicable rule of Inference.
E > M1. A > (E > ~F) Premise2. H v (~F > M) Premise3. A Premise4. ~H Premise5. A > E > ~F 1, Hypothetical syllogism6.
E > ~F 5,3 Modus Ponens 7 .
~F > M 2,3 Disjunctive Syllogism 8.
E > M 6,7 Hypothetical SyllogismIf
A is true, then E must be true because A > E > ~F.
Also, if ~H is true, then ~F must be true because H v (~F > M). And if ~F is true,
Then M must be true because ~F > M. Therefore, E > M is a valid based on the given premises using the first four rules of inference.
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How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with the height of 13m and base that measures 43m and 34m
ANSWER:
500.5 m²
STEP-BY-STEP EXPLANATION:
To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.
The area of a trapezoid has the following formula:
\(A=\frac{1}{2}(b+B)\cdot h\)Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:
\(\begin{gathered} A=\frac{1}{2}(34+43)\cdot13 \\ \\ A=\frac{1}{2}\cdot77\cdot13 \\ \\ A=500.5\text{ m}^2 \end{gathered}\)It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field
Pls help with this and explain
What is the approximate probability of exactly two people in a group of seven having a birthday on April 15? (A) 1.2 x 10^-18 (B) 2.4 x 10^-17 (C) 7.4 x 10^-6 (D) 1.6 x 10^-4
The approximate probability of exactly two people in a group of seven having a birthday on April 15 is (C) \(7.4 x 10^-^6\)
How we get the approximate probability?To calculate the probability of exactly two people in a group of seven having a birthday on April 15, we can use the binomial distribution formula:
\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n^-^k^)\)
Where:
P(X = k) is the probability of exactly k successes (in this case, k = 2)n is the number of trials (in this case, n = 7)p is the probability of success in a single trial (in this case, p = 1/365, assuming that all days of the year are equally likely for a birthday)C(n, k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (in this case, C(7, 2) = 21)So, plugging in the values, we get:
\(P(X = 2) = C(7, 2) * (1/365)^2 * (1 - 1/365)^(7 - 2)\)
\(= 21 * (1/365)^2 * (364/365)^5\)
\(= 2.38 x 10^-5\)
The probability of exactly two people in a group of seven having a birthday on April 15 can be calculated using the binomial distribution formula.
The formula takes into account the number of trials, the probability of success in a single trial, and the number of successes desired.
In this case, we want to find the probability that exactly two people in a group of seven have a birthday on April 15, assuming that all days of the year are equally likely for a birthday.
Plugging in the values into the formula gives us an approximate probability of \(7.4 x 10^-^6\), which is the answer (C).
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FIND THE SLOPE OF ALL + y-intercept TO BE MARKED BRAINLIEST 1) y=-1/2x-1 2) y=5/2x-5 3)y=-7/4x-5 4)y3/2x-1 5)y=x+4 6)y=-1/5x+2 7)y2/5x-1 8)y-5/4x+5 9)y=1/2x+3 10)y=2x-5 11)y=-3x-1 12) y=-4x 13)y=-3/5x 14) y=3x+5 15)-9+6x=3y 16)-2x=y-1
Answer:
5
Step-by-step explanation:
i had this question
Jamie took 20 pieces of colored paper and put them in a hat. Eight pieces were red, two pieces were blue, and the rest were green. She pulls a piece of paper out of the hat. What are the chances that the paper is red?
Answer:
40%
Step-by-step explanation:
8/20=0.40
0.40*100=40
a bakery needs to make 10 batches of bagels before opening in 6 hours ech batch of bagels takes 3/4 of an hour to make will the bakery have enough time to bake 10 bagels
The bakery will not have enough time to bake 10 batches of bagels in 6 hours.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
Given that,
There is a time limit of 6 hours to make 10 batches of bagel.
Time needed to make 1 batch of bagel = 3/4 hour
Time needed to make 10 batches of bagel = 10 × (3/4)
= 30 / 4
= 7.5 hours
Hence at least 7.5 hours is needed to make 10 batches of bagel.
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Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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Solve the right triangle.(Hint: Find all missing sides and angles)
Answer:
• BC = 7√5 units.
,• m∠B=41.8°
,• m∠C=48.2°
Explanation:
First, find the length of the third side, BC using the Pythagorean theorem.
\(\begin{gathered} AB^2=AC^2+BC^2 \\ 21^2=14^2+BC^2 \\ BC^2=21^2-14^2 \\ BC=\sqrt{21^2-14^2} \\ BC=\sqrt{245} \\ BC=\sqrt{49\times5} \\ BC=7\sqrt{5} \end{gathered}\)The length of the third side, BC is 7√5 units.
(b)Next, find the measure of angle B.
• The side length ,opposite, B = 14
,• The length of the ,hypotenuse, = 21
From trigonometric ratios:
\(\begin{gathered} \sin B=\frac{Opposite}{Hypotenuse} \\ \sin B=\frac{14}{21} \\ T\text{ake the arcsine of both sides:} \\ B=\arcsin(\frac{14}{21}) \\ B\approx41.8\degree \end{gathered}\)The measure of angle B is 41.8 degrees.
(c)Finally, find the measure of angle C.
In a right triangle, the sum of the two acute angles is 90 degrees, therefore:
\(\begin{gathered} m\angle B+m\angle C=90\degree \\ 41.8\operatorname{\degree}+m\operatorname{\angle}C=90\operatorname{\degree} \\ m\operatorname{\angle}C=90\operatorname{\degree}-41.8\operatorname{\degree} \\ m\operatorname{\angle}C=48.2\operatorname{\degree} \end{gathered}\)The measure of angle C is 48.2 degrees.
Solve the system of equations using the substitution method. X + 3y = -4 x= - 4y
Answer:
x: -16
y: 4
Step-by-step explanation:
please help
What information is given
in the diagram?
picture attached
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
Estimate: 587 is about what percent of 1,012?
Answer:
its 58
it is very simple to answer just find the percent of it
find an equation of the tangent line to the graph of the function at the given point. y = arcsec 18x, 2 18 , 4
The equation of the tangent line to the graph of y = arcsec(18x) at the point (2, 18) is y = (√3 / 6)x + (18 - √3 / 3).
How to find tangent line equation?To find the equation of the tangent line to the graph of the function y = arcsec(18x) at the point (2, 18), we need to determine the slope of the tangent line at that point.
The derivative of the arcsec(x) function is given by:
d/dx [arcsec(x)] = 1 / (|x| * sqrt(x^2 - 1))
Using this derivative, we can find the slope of the tangent line at x = 2:
m = 1 / (|2| * sqrt(2^2 - 1))
= 1 / (2 * sqrt(3))
= 1 / (2 * √3)
= √3 / 6
Now that we have the slope (m) and the point (2, 18), we can use the point-slope form of a linear equation to find the equation of the tangent line:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point (2, 18) and m is the slope (√3 / 6).
Plugging in the values:
y - 18 = (√3 / 6)(x - 2)
Simplifying further:
y - 18 = (√3 / 6)x - (√3 / 6)(2)
y - 18 = (√3 / 6)x - √3 / 3
Finally, rearranging the equation to the standard form:
y = (√3 / 6)x + (18 - √3 / 3)
So, the equation of the tangent line to the graph of y = arcsec(18x) at the point (2, 18) is y = (√3 / 6)x + (18 - √3 / 3).
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Which equation has the solution to ×=8 answer choices in the PICTURE will mark Brainliest if answered correctly
Answer:
6h/top left
Step-by-step explanation:
count the number of hs. In this case there are 6 so it is 6h
Step-by-step explanation:
h+h+h+h+h+h is equivalent to 6h
A custotuer requires during the next four months respectively 50,65,100, and 70 units of a commodity (no backlogs wllowed). Productions costs are $5,$8,$4, and $7 per unit during these months. The storage cost from one month to the next are $2 per unit (assessed on the end of the month inventory). Each unit at the end of the month 4 could be sold for $15 /unit. The production capacities for each month are 90, 75, 80 , and 50 units respectively. Currently, there are 15 units in inventory. Formulate a Linear Program that will minimize the objective function (sum of the production and inventory costs - revenue from selling end of period inventory at month 4). Note, inventory cost is assessed only for the first 3 periods. Model and solve the problem in AMPL and answer the quiz.
The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.
In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:
Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.
Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.
The objective function we want to minimize is:
Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)
Subject to the following constraints:
1. Initial inventory: y1 = 15 (given)
2. Production capacity constraints:
x1 <= 90 (month 1 capacity)
x2 <= 75 (month 2 capacity)
x3 <= 80 (month 3 capacity)
x4 <= 50 (month 4 capacity)
3. Inventory balance equations:
y1 + x1 - 50 = y2 (month 1)
y2 + x2 - 65 = y3 (month 2)
y3 + x3 - 100 = y4 (month 3)
y4 + x4 - 70 = 0 (month 4, no carryover inventory)
4. Non-negativity constraints:
x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0
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Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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Explain how to use a vertical number line to determine the order
Answer:
Writing numbers on it makes comparing numbers easier. Numbers on the left are smaller than the numbers on the right of it. A number line can also be used to carry out addition and subtraction. We move right to add, move left to subtract.
*A vertical number line is called a number ladder. Number lines are typically introduced in kindergarten and are used frequently throughout elementary and middle school to help build skills like counting, adding, and subtracting numbers.
*a vertical line goes straight from top to bottom and bottom to top in a coordinate plane.
Which equation can be used to determine the amount cherry juice in each mixture?
Answer:
c+5=5c
Step-by-step explanation:
12. a trader gained 15% by selling an
article for N1560.00, what is the cost
price of the article?
Answer:
N1356
Step-by-step explanation: I hope it helps :)
\(Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5\)
Find an equation of the line that has a y-intercept of 2 that is parallel to the graph of
the line 4x + 2y = 8.
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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a card is selected from a deck of 52 cards. what is the probability that it is a queen? what are the odds in favor
Step-by-step explanation:
There are FOUR queens in a deck of 52 cards
4/52 chance of selecting a queen = 1/13 chance = .07692 chance
i need help to know all three steps of decimal place value decimal:______________ decimal point:__________________ place value:____________________ help please i need my dba done!!!!!!!!
The three steps of decimal place value are the decimal, decimal point, and place value.
The decimal is a number that is expressed using place value, with each digit representing a different power of 10. Decimals are used to represent parts of a whole or a fraction, and can be expressed as a fraction or a percentage.
The decimal point is a symbol used to separate the whole number part from the decimal part of a number. It is placed after the ones place in a whole number, and the position of the decimal point determines the value of the digits to its left and right.
The place value is the value of a digit in a number based on its position from the decimal point.
Each digit to the left of the decimal point represents a power of 10 that is greater than the previous digit, while each digit to the right of the decimal point represents a power of 10 that is smaller than the previous digit.
For example, in the number 123.45, the decimal is the number 5, the decimal point is the symbol between 3 and 4, and the place value of the digits are as follows:
1 is in the hundreds place
2 is in the tens place
3 is in the ones place
4 is in the tenths place
5 is in the hundredths place
Understanding decimal place value is important for performing mathematical operations with decimals, such as addition, subtraction, multiplication, and division.
By knowing the value of each digit in a decimal number, we can correctly place the decimal point and obtain the correct result.
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Help! What’s the surface area to this? Please help. Urgent.
Answer:
Answer is 4+4 root 10 in.^2
Step-by-step explanation:
Here length(l)=2 in.
width(w)=2 in.
height(h)=3 in.
What percentage of Americans are self-employed?
According to the most recent data from the U.S. Bureau of Labor Statistics (BLS), as of 2020, approximately 10.1% of Americans are self-employed.
This means that out of the total U.S. population, about 1 in 10 individuals are working for themselves rather than being employed by someone else.
It is important to note that the percentage of self-employed individuals can vary depending on various factors such as economic conditions, industry trends, and personal preferences. For example, certain industries like agriculture, construction, and professional services tend to have higher rates of self-employment compared to others.
Self-employment offers individuals the opportunity to have more control over their work, set their own schedules, and potentially earn higher incomes. However, it also comes with certain challenges such as the need to handle business-related tasks like marketing, finances, and customer acquisition.
Overall, the percentage of self-employed Americans provides insights into the dynamic nature of the job market and the various ways people choose to earn a living.
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Find the volume of a cube that has a side length of:
6x²y5
Answer:
Are this form 1 question
Answer:
V= a³
V=(6x²y⁵)³
V= 216x⁶y¹⁵
Step-by-step explanation: