10x -7 = 13
10x = 13+7
10x = 20
x = 20/10
x = 2
Pls Help Really needed
Shea earns $8 per hour for the first 40 hours she works in a week. For any additional hours after that, she earns $12 per hour for that week. Which solution best represents the number of hours beyond the first 40 hours, h, Shea worked this week if she earned more than $380?
Answer:
5Step-by-step explanation:
The solution for the obtained inequality is x>5. Therefore, option D is the correct answer.
Given that, Shea earns $8 per hour for the first 40 hours she works in a week.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here,
Total money earned for the first 40 hours she works in a week = 40×8
= $320
Let x be the additional number of hours
So, the inequality which represents the given situation is
320+12x>380
Solve the obtained inequality
12x>380-320
⇒ 12x>60
⇒ x>5
The solution for the obtained inequality is x>5. Therefore, option D is the correct answer.
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darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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WILL RECEIVE BRAINLIEST
Mr. Campbell has a square garden with an area of 256 square feet. He wants to put a fence along 3 sides of the garden. How may feet of fencing will he need?
Answer:
48 feet of fencing!!
Step-by-step explanation:
hope this helps! God bless you! <33
what is the map unit (a three digit number) found under the poly p?
The map unit is typically a three-digit number that is used to identify a specific area on the map.
The map unit is typically a three-digit number that is used to identify a specific area on the map. .
The exact number can vary depending on the map, but it is usually located under the polygon or other shape on the map.
1. Look for the polygon or other shape on the map.
2. Look for the three-digit number located beneath the polygon or other shape.
3. This number is the map unit.
The map unit is typically a three-digit number that is used to identify a specific area on the map.
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Please help!!!!!!!!!
Answer:
It's a, 4
Step-by-step explanation:
pleaee solve this problem!!
Answer:
RHS=tanA/2
Step-by-step explanation:
LHS=1+sinA-cosA/1+sinA+cosA
=(1-cosA)+sinA/(1+cos A)+sinA
=2sin^2A/2+2sinA/2*cosA/2
_____________________
2cos^2A/2+22sinA/2*cosA/2
=2sinA/2(sinA/2+cosA/2)
___________________
2cosA/2(sinA/2+cosA/2)
sinA/2
=_____
cosA/2
= tanA/2 proved.
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identities:
sin 2A = 2cos A · sin A
cos 2A = 2 cos²A - 1
Use the following Quotient Identity: tan A = (sin A)/(cos A)
Use the following Pythagorean Identity:
cos²A + sin²A = 1 --> sin²A = 1 - cos²A
Proof LHS → RHS
Given: \(\dfrac{1+sin\theta - cos \theta}{1+sin \theta +cos \theta}\)
Let Ф = 2A: \(\dfrac{1+sin2A - cos 2A}{1+sin2A +cos2A}\)
Un-factor: \(\dfrac{\bigg(\dfrac{1- cos^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+sin\ 2A +cos\ 2A}\)
Pythagorean Identity: \(\dfrac{\bigg(\dfrac{sin^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+cos\ 2A +sin\ 2A}\)
Simplify: \(\dfrac{sin\ 2A}{1+cos\ 2A}\)
Double Angle Identity: \(\dfrac{2sin\ A\cdot cos\ A}{1+(2cos^2 A-1)}\)
Simplify: \(\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}\)
\(=\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}\)
\(=\dfrac{sin\ A}{cos\ A}\)
Quotient Identity: tan A
\(\text{Substitute} A = \dfrac{\theta}{2}}:\qquad tan\dfrac{\theta}{2}\)
\(tan\dfrac{\theta}{2} = tan\dfrac{\theta}{2}\quad \checkmark\)
(problem is in picture)
Answer: A
Step-by-step explanation: since X>y and y>z
The median set is 18 what is the missing number
The missing number in the median set is 6.
We are given that;
Median set=18
Now,
To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.
For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.
Therefore, by median the answer will be 6.
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Solve the equation.
1. 999 + k= 1,721 (1 point)
Dun WLS E F w W
Ok= 2.720
Ok= 822
Ok= 722
Ok= 732
Answer:
It would be c. 722
because you subtract 999 from 1721 and that lwaves you with k=722
Answer:
k= 722
Step-by-step explanation:
Please stop this is embarrassing just add 999 to each one until you get 1721
If johnson & johnson sold $12,949,847 of hand lotion in 2009 and $3,150,367 of that money was spent by mothers of children who are hispanic, what percentage of johnson & johnson's profits were due to mothers who are hispanic? round to the nearest tenth.
Approximately 24.3% of Johnson & Johnson's profits in 2009 were due to mothers who are Hispanic.
To calculate the percentage of Johnson & Johnson's profits due to mothers who are Hispanic, we divide the amount of money spent by Hispanic mothers by the total sales and then multiply by 100 to express it as a percentage.
Amount spent by Hispanic mothers = $3,150,367
Total sales = $12,949,847
Percentage = (Amount spent by Hispanic mothers / Total sales) * 100
Percentage = ($3,150,367 / $12,949,847) * 100
Percentage ≈ 24.3%
Therefore, approximately 24.3% of Johnson & Johnson's profits in 2009 were due to mothers who are Hispanic.
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Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189) (2, 0)
Select all the rectangles that have an area of 15/24 square inches.
Answer:
BDStep-by-step explanation:
Area of a rectangle
Base x HeightRectangle B
3/8 x 5/3 = 15/24 square inchesRectangle D
5/4 x 3/6 = 15/24 square inchesAnswer:
Options B and D
Step-by-step explanation:
Step 1: Determine the area of Option A
\(A = l * w\)
\(A = (5/8\ in) * (10/3\ in)\)
\(A = 50/24\ in^2\)
\(A = 25/12\ in^2\)
Step 2: Determine the area of Option B
\(A = l * w\)
\(A = (5/3\ in) * (3/8\ in)\)
\(A = 15/24\ in^2\)
Step 3: Determine the area of Option C
\(A = l * w\)
\(A = (8/6\ in) * (7/4\ in)\)
\(A = 56/24\ in^2\)
\(A = 7/3\ in^2\)
Step 4: Determine the are of Option D
\(A = l * w\)
\(A = (3/6\ in) * (5/4\ in)\)
\(A = 15/24\ in^2\)
Step 5: Determine the area of Option E
\(A = l * w\)
\(A = (5/15\ in) * (3/9\ in)\)
\(A = 15/135\ in^2\)
\(A = 1/9\ in^2\)
Answer: Options B and D
The value where the histogram balances when supported at that point is called ____.
The value where the histogram balances when supported at that point is called the mode of the distribution.
The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.
For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.
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Find a function y=f(x) whose second derivative is y'=12x-2 at each point (x, y) on its graph and y= -x+5 is tangent to the graph at the point corrsponding to x=1
Please provide clear steps!
the function y = f(x) that satisfies the given conditions is y = 2x^3 - x^2 - 5x + C2, where C2 is a constant that can take any real value.
First, integrate y' with respect to x to find the first derivative y:
∫(y') dx = ∫(12x - 2) dx
y = 6x^2 - 2x + C1
Next, integrate y with respect to x to find the function f(x):
∫y dx = ∫(6x^2 - 2x + C1) dx
f(x) = 2x^3 - x^2 + C1x + C2
To determine the specific values of C1 and C2, we use the given condition that the line y = -x + 5 is tangent to the graph at x = 1.
Since the tangent line has the same slope as the function f(x) at x = 1, we can equate their derivatives:
f'(1) = -1
Taking the derivative of f(x), we have:
f'(x) = 6x^2 - 2x + C1
Substituting x = 1 and equating f'(1) to -1, we can solve for C1:
6(1)^2 - 2(1) + C1 = -1
6 - 2 + C1 = -1
C1 = -5
Now we have the values of C1 and C2. Plugging them back into the equation for f(x), we obtain the final function:
f(x) = 2x^3 - x^2 - 5x + C2
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If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
A. 140 feet
B. 120 feet
C. 40 feet
D. 50 feet
Answer:
140
Step-by-step explanation:
200-60 = 140
Answer:
c
Step-by-step explanation:
Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.
hope that helped you.
Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
what is (8x)*1/4 as in radical form ?
Hi! I'd be happy to help you. When we want to express (8x)^(1/4) in radical form,
we write it as the 4th root of 8x. So, your answer is:
∜(8x)
radical form: Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.
Laws of Radicals
If the number is positive under the radical, the result will be positive.
If the number is negative under the radical, the result will be negative.
If the number under the radical is negative and an index is an even number, the result will be an irrational number.
If an index is not mentioned, the radical will be square root.
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xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes
What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3
question 7 options: in the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. find the probability of winning if you pick the number 30 and it comes up on the wheel.
The probability of winning by picking the number 30 in roulette is 1/38.
In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.
In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.
To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.
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The concept that a message gives different meanings to different objects is called _____.
a. ​encapsulation
b. ​polymorphism
c. ​linear addressing
d. ​dynamic addressing
The concept that a message gives different meanings to different objects is called option (b) polymorphism.
Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.
This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.
Therefore, the correct option is (b) polymorphism
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(7x+6) degrees (5x-18) degrees
The value of x is equal to 16.
What is the variable behind a system formed by two supplementary angles
Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:
(7 · x + 6) + (5 · x - 18) = 180
12 · x - 12 = 180
12 · x = 192
x = 16
The solution to this equation is 16.
RemarkThe statement is incomplete, correct form is shown below:
Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.
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Center City
2. The population of Center City is modeled
by exponential function f, where x is the
number of years after the year 2015. The
graph of f is shown on the grid.
Population
900,000
800,000
700,000
600,000
500,000
400,000
300,000
200,000
100,000
Which inequality best represents the range
of f in this situation?
A. x 20
B. y 2 250,000
C.OSXS 110
D. 250,000 Sy S 1,000,000
0
20 060
80
100
Time After 2015 (years)
Answer 110
Step-by-step explanation:
Answer:
the answer is B) y >= to 250,000
How do you write an equation of a line so that it is parallel or perpendicular to a given point? Explain both
Answer:
to find parallel;
first of all, parallel equations should have the same slope and a different y-intercept!
when were given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
However, to find the slope of the perpendicular equation, you need to get the negative reciprocal of the slope!
For example, if the slope is 3 in the original equation, it would be - 1/3 in perpendicular equation.
We then substitute the given point for (x,y)!
hope this helps :)
Leave a comment if you need further explanation
Step-by-step explanation:
PLS HELP WILL MARK U BRAINLIEST!! NO FAKE ANSWERS
Answer:
A) 2
Step-by-step explanation:
U 2 can help me by marking as brainliest........
Answer:
C. 3Step-by-step explanation:
2n + 8 > 122n > 12 - 82n > 4n > 4/2n > 2n = 3 is the smallest integer greater than 2
Correct choice is C
evaluate each inverse trig expression below. include a diagram of a unit circle justifying your solution.
The given expression :
the sum of three consecutive even integers is less than 75. what are the greatest possible values of these integers?
Answer:
23
the greatest possible value of the smallest one = 23 if If sum of three consecutive integers is less than 75.
Step-by-step explanation:
You are certain to get a queen when selecting 49 cards from a shuffled deck. Express the indicated likelihood as a probability value between 0 and 1 inclusive.
The probability is [ ] ?
(type a integer or a decimal)
The probability of this event of getting a queen when selecting 49 cards from a shuffled deck is represented by a value of 1.
What is probability?The probability of an occurrence can be determined using the probability formula by only dividing the favorable number of possibilities by the entire number of possible outcomes.
Given that the favorable number of outcomes can never exceed the total number of outcomes, the chance of an event occurring can range from 0 to 1. Therefore, there cannot be any unfavorable outcomes.
In the given question,
Out of 52 cards in the deck, when selecting 49 cards the event of getting a queen is only once.
The likelihood of an occurrence that is regarded as certain, or absolutely certain to occur, is 100% = 1.
The 49 cards you choose from a shuffled deck will all be queens, so you can be sure of that.
This indicates that a value of 1 represents the probability of this event.
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Find the area of the shaded region.
80°
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
From the given information provided, the area of the shaded region inside the circle is 22.58
The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.
The space enclosed by the sector of a circle is called the area of the sector.
the radius of the circle is 5cm.
area of arc = radius² × θ/2
area of the arc is = 5² × 4π/9 = 25 × 4/9 = 34.88
area of the triangle inside circle = a×b × sin(y)/2
area of triangle = 5×5 × sin(80°)/2 = 25 × 0.492
area = 12.3
area of the shaded region is = 34.88 - 12.3 = 22.58
Hence, the area of the shaded region is 22.58
Question - Find the area of the shaded region in the circle if the angle of the arc is 80 degree radius is 5cm.
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36/40 to lowest term
Answer:
9/10
Step-by-step explanation:
36/4=9
40/4=10