Answer:
$420
Step-by-step explanation:
You just say commission = 6% of $7000
commission = (6/100) * 7000
commission = 0.06 * 7000 = $420
Answer:
$420
Step-by-step explanation:
6/100 x 7000 = 420
Al stop app weep woop so eery ya wet
Reflections: If your figure was reflected across the X axis how would that affect the figures coordinates 
If your figure was reflected across the x-axis, the x-coordinate of the figure would remain the same while the sign of the y-coordinate would change.
What is a reflection?In Mathematics and Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
What is a reflection across the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate (x-value) while the sign of the y-coordinate (y-value) changes from positive to negative or negative to positive as the case may be.
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The integer between – 1.4 and -0.4 is
Answer:
-1.8
Step-by-step explanation:
Hope this helps!
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
62.5%
20%
41.7%
Answer:
20%
Step-by-step explanation:
The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:
P(red) = number of red marbles / total number of marbles
P(red) = 5 / (5 + 8 + 12)
P(red) = 5 / 25
P(red) = 0.2
So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).
Ms. Garcia asked her students to use the scatterplot and trend line to predict the average miles per gallon of a vehicle weighing 2,250 pounds. Jim and Kim gave the following answers.
The prediction from the trend is the value of the y-coordinate of a point in the line trend. For a given weight of 2,250 pounds, the y-values on the line seem to be between 25 and 30. Notice that The value y=25 corresponds to a weight of 2500 pounds. Therefore, for a 2,250 pounds vehicle, the gas mileage would be roughly 28 miles per gallon.
Therefore, Jim's answer best fits the data.
Emoji were first introduced on Japanese mobile phones in the year 1997.
Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
Answer:
1997 > y
Step-by-step explanation:
The inequality that presents year before 1997 is y<1997
What is inequality?Inequality shows relation between two expression which are not equal to each others.
According to given condition,
The emoji were introduced in the year 1997,
There can be infinite year before 1997, when emoji were not introduced.
The year y that describes inequality the year before 1997 can be represented as,
y<1997
The required inequality is y<1997.
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A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem
X>70
y<45
What is the smallest whole number value of x - y?
Answer:
27
Step-by-step explanation:
x-y
We are subtracting and we want the smallest number
We want the smallest number for x and the largest number for y
The smallest number for x is 71
The largest number for y is 44
71-44
27
How to simplify question below ?
Answer:
\(3x^2y\)
Step-by-step explanation:
The cube root of 27 is 3.
With indices, cube rooting them is the equivalent of multiplying by 1/3 so:
\(x^2y\).
Put these 2 things together and you get:
\(3x^2y\)
if a sum of money increased by 1/5 of itself every year and in 5 years amounts to Rs.8546,find the sum
Answer:
Answer :
Given : If a sum of money amounts to Rs 2200 in 5 years
Let sum of money = x
And as given : The interest is 3838 of the principal . So we get
x ( 3838 ) = 2200 - x
3x = 17600 - 8x
11x = 17600
x = 1600
So, Sum of money = Rs . 1600
Then interest = 2200 - 1600 = Rs . 600
Let Rate of interest = r %
And we know Simple interest = P × r × t100P × r × t100 , So we get
⇒1600 × r × 5100 = 600⇒16× r × 5100 = 6⇒80r = 600⇒r = 60080 = 152 = 712%⇒1600 × r × 5100 = 600⇒16× r × 5100 = 6⇒80r = 600⇒r = 60080 = 152 = 712%
So
Step-by-step explanation:
Attached as an image. Please help.
The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.
How to find the solution of an ordinary differential equation with separable variablesHerein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:
dy / dt = 3 · y · (1 - y / 14)
dy / [3 · y · (1 - y / 14)] = dt
dy / [- (3 / 14) · y · (y - 14)] = dt
By partial fractions we find the following expression:
- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt
- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.
y = 14 / [1 - C · tⁿ], where n = - 14² / 3.
If y(0) = 10, then the particular solution is:
y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.
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(2.8•10^8)(1.9•10^4)
Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
QUESTION 3
If y varies inversely as x, find the inverse variation equation for the situation.
y = 1/8 when x = 40
\(yx=5\)
Explanation:
If \(y\) varies inversely as \(x\) then
\(y\times x=k\) for some constant \(k\)
Since \(y = \frac{1}{8}\) when \(x=40\)
\(\huge \text(\dfrac{1}{8}\huge \text)\times(40)=k\)
\(\longrightarrow k=5\)
You go to Giant to buy some candy. You decide to buy snickers because they have a special deal on snickers. A pound of snickers costs $3.45, but if you buy 4 or more pounds, they only cost $3.00per bag. Write a piecewise function to represent this situation.
Answer:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
Step-by-step explanation:
A piecewise function is a function that behaves differently in diferent intervals of it's domain.
We know that 1lb of candy costs $3.45
But if you buy 4 lb or more, the cost of each lb is $3.00
Then if x represents the number of pounds of candy that you buy, we have the equation:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
11. Mike has a 792-page book. If he reads 36 pages each day,
how many days will it take him to finish reading the book?
Answer:
22 days
Step-by-step explanation:
Number of pages divided by number of pages he reads per day
792 ÷ 36 = 22
Hope this helped :)
Answer:
22
Step-by-step explanation:
792÷36=22
ok??:)) isksjsix
the distance between two cities on a map is 3.5 centimeters the map uses a scale in which 1 centimeter represents 20 km what is the actual distance between these
two cities in kilometers
Answer:
1 cm = 20 km
so 3.5 cm would equal : 3.5 * 20 = 70 km
hope it helps ;)
Step-by-step explanation:
A cylinder gas diameter of 16 inches and a height of 14 inches . What is the volume of the largest sphere that will fit into the cylinder .
8 / 1/3 and 2 / 1/9 what's the generalizations can make about the equations
The generalization about the terms is that one is the cube root of the other
∛(8/9) = 2/3
What is generalizations in mathematics?Generalization can be viewed as a statement that holds true for a broad category of objects or numbers, as the method by which we arrive at a general statement, or as a means of transferring information from one context to another in the mathematics.
The equation represented as 8 / 1/3 and 2 / 1/9
is made an equated to each other and rearranged as follows
8 / 1/3 ⇔ 2 / 1/9
cross multiplying
8 * 1/9 ⇔ 2 * 1/3
8/9 ⇔ 2/3
the equation only holds true when the cube root sign is there then we have
∛(8/9) = 2/3
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Which graph shows the information in the table?
Calories in Salad Dressing
Number of Ounces of Salad
Dressing
2
3
4
5
Total Calories
300
450
600
750
Answer: Number 2
Step-by-step explanation: yes
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
What is distributive property addition?
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =
\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)
\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)
A college offers tutoring in Math, English, Chemistry, and Bio. The number of students enrolled in each subject is listed below. If the college can only afford to hire 13 tutors l, determine how many tutors should be assigned to each subject using Jefferson’s method.
We can see here that the modified divisor one can use is: 55.
What is Jefferson's method of apportionment?The Jefferson Method uses a divisor that ensures the right number of seats are allocated, preventing the issue of an apportionment that results in a surplus or a deficit of House seats.
We see here that finding standard divisor, we have:
295 + 275 + 155 + 55 = 795
Thus, standard divisor = 795/13 = 61.1538462
Modifying the divisor in order for us to get the total number of tutors, we reduce the standard divisor to 55.
Using 55 as modified divisor we have:
Math: 275 ÷ 55 = 5
English: 295 ÷ 55 = 5.36
Chemistry: 155 ÷ 55 = 2.8
Biology: 70 ÷ 55 = 1.27
Taking the first part of the decimals, we have:
5 + 5 + 2 + 1 = 13.
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Determine whether the dimensions of each rectangle described of Taylor's first rectangle.
Select Yes or No for each set of dimensions.
Length: 6 in.; Width: 3 / 4 in.
Length: 1 / 2 in.; Width: 4 in.
Length: 1 / 8 in.; Width: 9 in
Length: 3 in: Width: 5 / 8 in.
Step-by-step explanation:
yes
no
yes
yes
that is the correct answer
Which equation matches the graph of the greatest integer function givenbelow?00 to4 22w-8-6-4468-2 0 13-2024-6O-80A. y = [x]- 3B. y = [X] + 2C. y = [x]- 2D. y = [x] +3
We can see that we are working with the greatest integer function, wich means we want the nearest greater integer for our real number,
can i have help with this question
Answer: 4.1
Step-by-step explanation: You would do 8.2 m/2 because since 1cm =2m the opposite would be 2m = 1 cm so 8.2 = 4.1 because 2/2 = 1
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the likelihood of a yellow marble being selected on the first draw?
likely
unlikely
even chance
certain
Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.
What is Probability?Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.
In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.
The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:
likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles
So, in this case, the likelihood of selecting a yellow marble on the first draw is:
likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3
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An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?
The sum of expected marks is given as follows:
9375.
How to obtain the expected marks?Each question has four choices, hence the probability of choosing the correct choice is given as follows:
p = 1/4 = 0.25.
Then the expected number of correct answers is given as follows:
E(X) = 0.25 x 150
E(X) = 37.5.
Then the expected grade for a single student is given as follows:
37.5 - 0.25(150 - 37.5) = 9.375.
The expected sum for the 1000 students is then given as follows:
1000 x 9.375 = 9375.
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what is the value of the underlined digit in the number 27,416,385. 4 is the underlined number.
The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.
How can the digits be known?The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23. however amount is represented by a number.
It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.
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