Answer:
P(m) = 75 + 0.1mStep-by-step explanation:
Given:
Weekly earning = $7510% commission on sales amount of m = 0.1mThe total weekly income is:
P(m) = 75 + 0.1mWeekly earning is fixed
That's 75 it can be our y interceptRate of change
10% of m=0.1mSo equation in slope intercept form
P(m)=0.1m+75In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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please help me with math
Answer: A) \(y=\frac{3}{7}x-2\)
Step-by-step explanation:
its just the answer, and if you want explanation just say...
Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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Given the circle below with chords FG and HI. Find the length of FJ. Round to the nearest tenth if necessary. 9-4 H 21 F J 26 25 G T
Based on the information, EFH and GHF does not have to be congruent.
What are congruent angles?Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.
The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:
angle A ≅ angle B
Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.
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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG
Danielle needs to buy paints for an art class she is taking. She wants to buy both oil paintsfor special pieces and acrylic paints for everyday use. Tubes of oil paint are $6 each, and tubes of acrylic paint are $3 each. Danielle has a paint budget of $90, and she wants the ratic of acrylic tubes to oil tubes to be at least 2 to 1.
Graph a system of inequalities that represents this story. One inequality should represent
Danielle's budget, and the other inequality should represent the ratio of acrylic tubes to oil
tubes.
Inequalities are used to represent unequal expressions.
The system of inequalities is:\(6x + 3y \le 90\) and \(y \ge 2x\)
Represent oil paints with x, and acrylic paint with y.
Oil paints cost $6 per tube, while acrylic paint costs $3 per tube; and the budget is $90.
So, the inequality is:
\(6x + 3y \le 90\)
The ratio of acrylic tubes to oil tubes is at least 2 to 1.
So, we have:
\(y : x \ge 2 : 1\)
Express as fraction
\(\frac yx \ge \frac 21\)
Multiply both sides by x
\(y \ge 2x\)
So, the system of inequalities is:
\(6x + 3y \le 90\) and \(y \ge 2x\)
See attachment for the inequalities
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someone please help with my geometry
Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.
Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.
You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.
Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.
Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.
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How do you know whether a relation is a function?(1 point)
1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.
4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.
Answer:
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.Step-by-step explanation:
A function is a special relationship where each input has a single output.Answer options, incorrect statements are underlined below:
1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
Incorrect.2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
Correct.3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.
Incorrect.4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.
IncorrectAnswer:
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
Step-by-step explanation:
A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point.
Will someone help me with this basic geometry?
The value of x in the right angle placed is equal to 16
Right AnglesA right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.
A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
In the given question, we can set an equation and find the value of x
90 = 26 + 4x
Lets solve for x
4x = 90 -26
4x = 64
x = 16
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Two rock climbing gyms offer a two-month “trial period” training program. The first gym charges $4 per climbing session plus a one-time $50 fee. The second gym charges $6 per climbing session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?
Write a system of equations you can use to find at what number of sessions the cost of the trial period program at each of the gyms is exactly the same.
Answer:
the second one
Step-by-step explanation:
3861 8712 5247 4356 1485 3645
which number is the odd, one, out?
Answer:
3645
Step-by-step explanation:
The odd one is \(3645\).
Let the given numbers are,
\(3861,8712,5247,4356,1485,3645\)
The given numbers are divisible by \(99\) except \(3645\).
Now,
\(3681=\frac{3681}{99} =39\)The number \(3681\) is divisible by \(99\).
\(8732=\frac{8732}{99} =88\)The number \(8732\) is divisible by \(99\).
\(5247=\frac{5247}{99} =53\)The number \(8732\) is divisible by \(99\).
\(4356=\frac{4356}{99} =44\)The number \(4356\) is divisible by \(99\).
\(1485=\frac{1485}{99} =15\)The number \(1485\) is divisible by \(99\).
\(3645=\frac{3645}{99} =36.81\)The number \(3645\) is not divisible by \(99\).
Hence, the odd number is \(3645\).
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Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?
Answer:
its inner mars made of gas
and outer Jupiter made of rock
Step-by-step explanation:
i am in high school trust me
Answer:
inner venus made of rock
outer neptune made of gas
Step-by-step explanation:
inner planets are made of rock
outer planets are made of gas
inner planets: mercury, venus,earth. and mars
outer planets: jupiter,saturn,uranus and neptune
hope that helped!!!
Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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Delivery of 5 large boxes, 3 small boxes; total weight 135 kilograms. And 7 large boxes, 9 smaller boxes total weight,279 kilograms. How much does each box weigh?
The weight of each of the boxes are:
Large box = 15.75 kg
Small box = 18.75 kg
How to solve simultaneous Equations?Let the weight of each large box be x
Let the weight of each small box be y.
Thus, if 5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:
5x + 3y = 135 -------(1)
Thus, if 7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:
7x + 9y = 279 ------(2)
Multiply eq 1 by 3 and eq 2 by 1 to get:
15x + 9y = 405 -----(3)
Subtract eq 2 from eq 3 to get:
8x = 126
x = 126/8
x = 15.75 kg
Thus:
5(15.75) + 3y = 135
3y = 135 - 78.75
3y = 56.25
y = 18.75 kg
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A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
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4 Darren makes $10 per hour. Next semester, he will be maling 514 per hour. What rate of increase does this represent Round the answer to the nearest tenth of a percent b) 40
40% (option B)
Explanation:\(\text{Percentage increase = }\frac{new\text{ amount - old amount}}{\text{old amount}}\times100\)\(\begin{gathered} \text{old amount = \$10} \\ \text{new amount = \$14} \\ \text{percentage increase = }\frac{14-10}{10}\times100 \end{gathered}\)\(\begin{gathered} \text{percentage increase = }\frac{4}{10}\times100 \\ \text{percentage increase = 40\%} \\ \\ To\text{ the nearest tenth, 40.0\% same as 40\%} \end{gathered}\)The rate of increase is 40% (option B)
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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A study of 6076 adults in public rest rooms found that 23% did not wash their hands before exiting. Is the value a parameter or a statistic?
Answer:
Statistic.
Step-by-step explanation:
A statistic is the result of a finished data set.
From things such as...
graphchartpie chartand a few more.
Hope this helps!
Select all the irrational number: negative square root of 100, square root of 14, negative square root of 99, 2/3, -123/45, square root of 64
All the irrational number are,
⇒ √14
⇒ - √99
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
All the numbers are,
1) - √100
2) √14
3) - √99
4) 2/3
5) - 123 / 45
6) √64
Now, We can simplify all the numbers as;
1) - √100
= - 10
Hence, It is a rational number.
2) √14
= 3.741657
Hence, It is an irrational number.
3) - √99
= - 9.9498
Hence, It is an irrational number.
4) 2/3
= 0.66666
Hence, It is a rational number.
5) - 123 / 45
= - 2.7333
Hence, It is a rational number.
6) √64
= 8
Hence, It is a rational number.
Thus, All the irrational number are,
⇒ √14
⇒ - √99
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Write the phase as an expression. Then evaluate x=5. The sun of number x and 4, all divided by 3
help help
A straw is placed inside a rectangular box that is 6 inches by 6 inches by 10 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
the length of the straw is 2√(34) inches.
Why it is and what does Pythagoras Theorem stands for?
We can use the Pythagorean theorem to find the length of the straw. The diagonal of the box is the hypotenuse of a right triangle with legs of length 6 and 10. So, we have:
diagonal²2 = 6²2 + 10²2
diagonal²2 = 36 + 100
diagonal²2 = 136
Taking the square root of both sides, we get:
diagonal =√(136) = 2√(34)
Therefore, the length of the straw is 2√(34) inches.
The Pythagorean theorem is a fundamental theorem in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
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I need help please I will mark you brainliest
Answer:
A
Step-by-step explanation:
10^-3 will make it negative and then 10^3 because it is less then 10^7
Answer:
A
Step-by-step explanation:
Because all three of these are 7.68x10^a power the determining factor in which one is the greatest is based on which one has the largest exponent -3<3<7 so this is the order from least to greatest.
you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answer:
c
Step-by-step explanation:
right on plato
i need these answers quickly, all questions
Answer:
1.) R = 9 in
2.) R = 14.5 m
3.) D = 42 ft
4.) 26 mm
5.) 131.88 m
6.) 34.54 in
7.) 25.12 yd
8.) 28.26 mm
9.) 43.96 in
10.) 197.82 cm
11.) 263.76 cm
12.) 94.2 cm
13.) 97.34 m
14.) 138.16 cm
15.) 47.1 yd
16.) 285.74 cm
Step-by-step explanation:
2(pi)r... literally plugged in
kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail. imagine an angle with its vertex at the center of the circular ski trail that subtends kelsey's path.
a) How many radians has the angle swept out since kelsey started skiing?
b) How many km has kelsey skied since she started skiing?
a) The angle swept out since kelsey started skiing: 1.1498 radians
b) The distance Kelsey skied: 3.334 km
In this question, we have been given Kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail.
Consider the following figure for reference.
We need to find the angle θ and the distance kelsey skied (i.e., the arc length)
Here, the horizontal distance x = 1.185 km and the vertical distance y = 2.647 km
a. the tangent of angle θ would be,
tan(θ) = y/x
tan(θ) = 2.647/1.185
tan(θ) = 2.2337
θ = arctan(2.2337)
θ = 65.88°
θ = 1.1498 radians
b. The length of the arc is:
s = rθ
s = 2.9 * 1.1498
s = 3.334 km
Therefore, a) the angle swept out : 1.1498 radians
b) the distance Kelsey skied: 3.334 km
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Write as the opposite of a square root. -3√5
The value of -3√5 as the opposite of the square root is -75.
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root.
Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.
-3√5
The opposite of the square root is the square, so,
-3√5 = -3 × 5²
-3√5 = - 3 × 25
-3√5 = - 75
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The average business traveler spends almost $50 per day. Mary O'Sullivan spent the following yesterday: dinner, $21.50; lunch, $10.58; breakfast, $5.88; tips, $7.51; and taxes, $2.95. How much was she under the average?
Step-by-step explanation:
50=average
then to find how much she spent we would do
$21.50+$10.58= 32.08
and then
$5.88+$7.51= 13.39
and then we add them both together
$32.08+13.39= 45.49
What is the y-intercept of the line -7x-5y=-45?
Answer:
The y-intercept is at the point (0, 9).
Step-by-step explanation:
WE have the y intercept when x = 0:
-7(0) - 5y = -45
-5y = -45
y = -45/-5 = 9.
Answer:
-9
First, we must convert the equation into slope intercept form, by solving for y.
Step 1: Add 7x to both sides.
\(-7x-5y+7x=-45+7x-5y=-45+7x\\\)
Step 2: Regroup terms.
\(-5y=7x-45\)
Step 3: Divide both sides by -5.
\(y=-\frac{7x-45}{5}\)
\(y=-\frac{7}{5}x-9\)
Now we can determine the y-intercept by just looking at the equation! the y-intercept is the only constant, -9
I hope this helps!
A brainliest will be greatly appreciated!
Please see screenshot.
Answer:
See below
Step-by-step explanation:
The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:
Answer:
(a) To find the mean of the data set, sum up all the values and divide by the total number of values.
44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398
Mean = 398 / 8 = 49.75
Rounded to one decimal place, the mean of this data set is 49.8.
(b) To find the median of the data set, i need to arrange the values in ascending order first:
39, 44, 44, 44, 54, 54, 54, 65
The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:
(44 + 54) / 2 = 98 / 2 = 49
Rounded to one decimal place, the median of this data set is 49.0.
(c) To determine the modes of the data set, identify the values that appear most frequently.
In this case, the mode refers to the value(s) that occur(s) with the highest frequency.
From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.