how many 9 are there between 1 and 100?
Answer:
20
Step-by-step explanation:
To determine the number of 9s between 1 and 100, we can consider the numbers from 1 to 99 since we want to exclude 100.
In the range from 1 to 99, we can observe the following patterns:
There is one 9 in each of the units' places (9, 19, 29, ..., 89, 99), giving us 10 occurrences.
There is one 9 in each of the tens' places (90, 91, 92, ..., 99), giving us 10 occurrences.
Therefore, there are a total of 10 + 10 = 20 occurrences of the digit 9 between 1 and 100.
find the 12th term of the arithmetic sequence 2a - b, 3a - 2b, 4a - 3b
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
Answer:
13a - 12b
Step-by-step explanation:
That is what the 12th ter m of the arithmetic sequence is
round 2.794 to the tenths place
Solve each problem 2/3 = 1.2/x
A. x= 18
B. x= 1.8
C. x= 0.2
D. x= 10
Please I need help this is due today and I am really struggling with this question I know I asked it once but I got no answer and this is really important
The solution to the algebraic equation is x = 1.8
How to solve an algebraic equation?
An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter
Given: 2/3 = 1.2/x
2/3 = 1.2/x cross multiply
2 × x = 3 × 1.2
2x = 3.6
x = 3.6/2 = 1.8
Therefore, the solution to the problem is x = 1.8, so the correction option is B.
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Find the equation of a line that passes through the point (4,2) that is perpendicular to the line . Show your work.
The equation of a line that is perpendicular to another line, we need to determine the slope of the original line and then find the negative reciprocal of that slope.
Given that the line passes through the point (4,2), we can assume that this point lies on the perpendicular line. Let's first find the slope of the original line. Since we don't have the equation of the line, we can assume it's in the form y = mx + b, where m represents the slope. We need more information to find the value of m.
Now, let's find the slope of the perpendicular line. Since it is perpendicular to the original line, its slope will be the negative reciprocal of the original line's slope. Let's say the slope of the original line is m, then the slope of the perpendicular line will be -1/m. We are given a point (4,2) that lies on the perpendicular line.
Using the point-slope form of a line, y - y1 = m (x - x1), we can substitute the values of x1, y1, and m to find the equation of the perpendicular line. Let's say the equation of the perpendicular line is y = mx + c, where c represents the y-intercept.
Using the point (4,2) and the slope -1/m, we can substitute these values into the equation y - y1 = m (x - x1) to find c. Once we have the value of c, we can substitute it back into the equation y = mx + c to get the final equation of the perpendicular line.
To find the equation of a line that passes through the point (4,2) and is perpendicular to another line, we need to determine the negative reciprocal of the slope of the original line. We can use the point-slope form of a line to find the equation of the perpendicular line.
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What is the relative maximum of the function?
a grid with x axis increments of two increasing from negative ten to ten and y axis increments of two increasing from negative ten to ten. the grid contains a parabola opening down with a vertex at x equals one and y equals four.
The relative maximum of the function is at the point (1, 4) on the grid.
To determine the relative maximum of the given parabola, we need to examine its shape and position on the grid.
The parabola is described as opening downward, which means it has a concave shape and its vertex represents the highest point on the graph.
The vertex of the parabola is given as (1, 4), which means the highest point of the parabola occurs at x = 1 and y = 4. In other words, the parabola reaches its maximum value of 4 when x equals 1.
Since the vertex is the highest point of the parabola and no other point on the graph is higher, we can conclude that the relative maximum of the function is at the point (1, 4) on the grid.
This means that for any other point on the graph, the y-coordinate value will be lower than 4. The parabola opens downward from the vertex, and as we move away from the vertex along the x-axis in either direction, the y-values of the points on the parabola decrease. Therefore, the relative maximum occurs only at the vertex.
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HELP ASAP!!! 50 POINTS!!
Answer:
rate of change is 3
Step-by-step explanation:
Answer:
The rate of change is 3
Step-by-step explanation:
start at (0,2) Then go up three spaces and right 1 space. You will be on the line again at point (1,5)
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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A large store has a customer service department where customers can go to ask for help with store-related issues. Based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item?
1-(3/4)^4
The probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item is 0.68.
Given data ,
According to store records, approximately 1/ 4 of all customers who go to the service department ask for help finding an item.
All the customers who go to the service department will not ask for help.
Now, the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item is
P(X>=1) = 1 - P(X<1)
= 1 - (1/4)⁰ (3/4)⁴
= 1 - (3/4)⁴
= 0.68
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced to predict how likely events are to happen.
The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment.
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Simplify each expression. Rationalize all denominators.
√3 4/0.5x
The simplified and rationalized expression is: (4√3)/x.
To simplify the expression and rationalize the denominator, we need to rewrite the expression with a rational denominator.
First, let's simplify the expression: √3 4/0.5x.
To simplify the square root term, we can write it as: √(3 * 4)/(0.5x).
Simplifying the numerator: √12/(0.5x).
Next, let's rationalize the denominator by multiplying both the numerator and the denominator by 2:
(√12 * 2)/((0.5x) * 2).
Simplifying further: (2√12)/(1x).
Finally, simplifying the square root term: (2√(4 * 3))/x.
Simplifying the square root: (2 * 2√3)/x.
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PLEASE HELP! CORRECT ANSWER WILL GET BRAINLIEST
Answer:
y<1/4x+3
Step-by-step explanation:
Neck cancer is a rare (<10% of the total population). If a case-control study were conducted and an odds ratio obtained, which relative measure would it most likely be estimating
If a case-control study were conducted to investigate the relationship between an exposure and a rare disease like neck cancer, the most likely relative measure that would be estimated is the odds ratio.
This is because the prevalence of neck cancer in the general population is low, which means that the incidence rate is also low. As a result, it is difficult to calculate the relative risk directly in a case-control study. Instead, the odds ratio is used as a measure of association between the exposure and the disease outcome.
The odds ratio is calculated by comparing the odds of exposure in cases to the odds of exposure in controls. The odds ratio can provide an estimate of the strength and direction of the association between the exposure and the disease outcome in the population being studied.
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Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []
To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X_0 = [0.1 0.2 0.7]
To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:
X_1 = P * X_0
To calculate X_2, we multiply P with X_1:
X_2 = P * X_1
Similarly, to calculate X_3, we multiply P with X_2:
X_3 = P * X_2
Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.
Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.
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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X₀ = [0.1
0.2
0.7]
To find X₁, we multiply P with X₀:
X₁ = P * X₀
To find X₂, we multiply P with X₁:
X₂ = P * X₁ = P * (P * X₀)
To find X₃, we multiply P with X₂:
X₃ = P * X₂ = P * (P * (P * X₀))
Performing the matrix multiplications, we get:
X₁ = [0.6 0.2 0.1] * [0.1
0.2
0.7] = [0.06 + 0.04 + 0.07
0.03 + 0.14 + 0.07
0.01 + 0.02 + 0.56]
X₁ = [0.17
0.24
0.59]
X₂ = [0.6 0.2 0.1] * [0.17
0.24
0.59] = [0.048 + 0.048 + 0.059
0.023 + 0.168 + 0.059
0.007 + 0.048 + 0.472]
X₂ = [0.155
0.25
0.527]
X₃ = [0.6 0.2 0.1] * [0.155
0.25
0.527] = [0.042 + 0.031 + 0.053
0.021 + 0.175 + 0.053
0.006 + 0.05 + 0.422]
X₃ = [0.126
0.249
0.478]
Therefore, the state matrices are:
X₁ = [0.17
0.24
0.59]
X₂ = [0.155
0.25
0.527]
X₃ = [0.126
0.249
0.478]
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i’m in a hurry PlSSS ANYONEEW ?????
The max. aggregate size that used in design concrete mix is for concrete floor with 120 mm depth and 150 mm spacing between the reinforcing bar 40 mm O 112.5 mm 12.5 mm O 25 mm O
The maximum aggregate size used in the design of a concrete mix for a concrete floor with a depth of 120 mm and a spacing of 150 mm between the reinforcing bars is dependent on various factors, including the desired strength and workability of the concrete.
Typically, a larger maximum aggregate size is preferred for concrete mix design as it helps to enhance the workability and reduce the amount of cement paste required. However, the maximum aggregate size should not exceed one-fifth of the narrowest dimension between the reinforcing bars.
In this case, the spacing between the reinforcing bars is 150 mm. Therefore, the maximum aggregate size should be less than or equal to one-fifth of this spacing, which is 30 mm (150 mm ÷ 5 = 30 mm).
To summarize:
1. Determine the spacing between the reinforcing bars (in this case, 150 mm).
2. Calculate one-fifth of the spacing (150 mm ÷ 5 = 30 mm).
3. Ensure that the maximum ./ size used in the concrete mix is less than or equal to this value (30 mm).
By following these guidelines, you can ensure that the concrete mix design is appropriate for the given depth and spacing of the reinforcing bars in the concrete floor.
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The annual snowfall in city a is 69.8 inches. this is 14.5 inches more than times the snowfall in city b. find the annual snowfall for city b.
The annual snowfall for City B is approximately 4.81 inches.
To find the annual snowfall for City B, we need to solve the equation given in the question: 69.8 = 14.5x, where x represents the snowfall in City B.
This simplifies to:
69.8 / 14.5 = x
This simplifies to:
4.81 ≈ x
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At Lara' party, 4 gallon of fruit punch are hared equally among 18 friend. How much fruit punch will each peron get?
Answer: About 0.2 gallons
Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.
Each of her friend will get 4 and a half gallons of juice.
What is division?Division is one of the four main arithmetical operations by which we find the equal distribution of something.
Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.
To find how much each of them got, we will divide total amount of punch by total number friends
Amount of juice each of them gets, = 18/4 = 4.5
Hence, Each of her friend will get 4 and a half gallons of juice.
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.Write a division equation so that it has a solution of -2
Which equation represents this graph? This graphic illustrates the mathematical word problem described in the accompanying text.
Answer:
Step-by-step explanation:
that a huge prob but yah
In six years' time Leroy will be twice the age he is now.
(a) If Leroy is x years old, his age in 6 years' time =
-
(b) Write an equation showing the information.
Ué é só colocar 6x vezes 2
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL MARK THE BRAINLIEST! 20 PTS!
A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism. What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
a. The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
b. The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
c. The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
d. The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.
Answer:
i need an answer to have you figured it out yet
Step-by-step explanation:
Answer:
B - (Probably)
Step by step explanation:
the Volume of the Pyramid = Volume of Prism / 3
198cm^3 / 3 = 66cm^3
the standard error of the regression, se, is calculated by taking the square root of divided by .
The standard error of the regression (se) is calculated by taking the square root of the mean squared error (MSE) divided by the degrees of freedom (df).
The mean squared error (MSE) is calculated by summing the squared residuals (the differences between the actual observed values and the predicted values) and dividing by the number of observations minus the number of predictors (variables) in the regression model.
The formula for the mean squared error is:
MSE = Σ(residuals^2) / (n - k)
where Σ denotes the sum, residuals^2 represents the squared residuals, n is the number of observations, and k is the number of predictors in the regression model.
To calculate the standard error of the regression, se, we take the square root of the mean squared error divided by the degrees of freedom:
se = √(MSE / df)
The degrees of freedom (df) in a regression model is equal to the number of observations minus the number of predictors (k).
Therefore, the standard error of the regression, se, is calculated by taking the square root of the mean squared error divided by the degrees of freedom (df).
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Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If Luca wants to leave a 16% tip on the total amount including the tax, how much should Luca pay?
$201.50
$217.50
$224.75
$233.74? pls help 50 point give good ansewr
Answer:
D; $223.74
Step-by-step explanation:
The amount of bill before tax = $193.75
Percentage of tax added by the waiter = 4%
Amount of tax added by the waiter = (4/100) * 193.75 dollars
= 775/100 dollars
= 7.75 dollars
Total bill after tax = (193.75 + 7.75) dollars
= 201.50 dollars
Percentage of tips that Luca wants to give = 16%
Amount of tips that Luca wants to give = (16/100) * 201.50 dollars
= 32,24 dollars
The total amount that Luca needs to pay = (201.50 + 32.24) dollars
= 233.74 dollars
The answer is D
Hope this helps!
Answer: D
pls give me brainliest
Please Answer ASAP
Evaluate the expression for m = 8, n = 11, and p = –3.
what is mp − m − n =
Answer:
-43
Step-by-step explanation:
m=8, n=11, and p=-3
mp=8x-3=-24
-24-m=-24-8=-32
-32-n=-32-11=-43
The shapes below are mathematically similar.
х
8 cm
9 cm
12 cm
Calculate the length of side x.
If an older television with an aspect ratio of 4:3 has a screen of 2500 square inches, but the image displayed has an aspect ratio of 16:9, how much area does the image actually occupy?
The image occupy 1250 inches².
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The aspect ratio of screen 4:3 and the screen is 2500 square inches.
so, the width of the screen is = 2500/ 4.3 = 581.40 inches
As, the image displayed has an aspect ratio of 16:9.
The Area of image is
= 581.40 x 9/16
= 1250 inches².
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Find the y-intercept of each line defined below and compare their values.
Equation of Line A:
3x + 2y = -6
Submit Answer
Select values from Line B:
X
MAR
-3
-2
-1
0
1
The y-intercept of Line A is
Therefore the y-intercept of Line A is
Y
0
2
4
6
8
and the y-intercept of Line B is
the y-intercept of Line B.
The y intercept of line A is -2 times the y intercept of line B.
Explain about the y-intercept of the line?The line's intersection with the y-axis on a graph is known as the y-intercept. In every case, the associated x-coordinate is 0. This is accomplished by calculating the difference between the y- and x-coordinates and then dividing this difference.
standard form of equation of line:
y = mx + c
m is the slope and c is the y intercept.
Equation of line A:
3x + 2y = -6
Convert equation in standard form
2y = -3x -6
y = -3/2 x - 3
On comparing; y intercept = -3
Equation of line B. point taken (-3, 0) and (0,6)
y - y1 = m(x - x1)
slope m = (6 - 0)/(0 + 3) = 2
y - 0 = 2(x +3)
y = 2x + 6
y intercept of line B is 6.
Thus, y intercept of line A is -2 times the y intercept of line B.
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Please please help please please ASAP
Suppose the central perk coffee shop sells a cup of espresso for two dollars in a cup of cappuccino for $2. 50 on Friday. Destiny sold 30 more cups of cappuccino then espresso for a total of $178. 50 worth of espresso and cappuccino how many cups of each month old
Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
Let's start by defining our variables. Let x be the number of cups of espresso sold and y be the number of cups of cappuccino sold. We know that the price of espresso is $2 per cup and the price of cappuccino is $2.50 per cup. We also know that Destiny sold 30 more cups of cappuccino than espresso and the total sales amount was $178.50.
Using this information, we can create a system of equations to solve for x and y. The first equation comes from the fact that Destiny sold 30 more cups of cappuccino than espresso:
y = x + 30
The second equation comes from the total sales amount:
2x + 2.5y = 178.5
Now we can substitute the first equation into the second equation and solve for x:
2x + 2.5(x + 30) = 178.5
2x + 2.5x + 75 = 178.5
4.5x = 103.5
x = 23
So Destiny sold 23 cups of espresso. Using the first equation, we can find that she sold 53 cups of cappuccino:
y = x + 30
y = 23 + 30
y = 53
Therefore, Destiny sold 23 cups of espresso and 53 cups of cappuccino on Friday, for a total sales amount of $178.50.
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there are peaches 35 peaches that will be shared with equally by 5 people how many peaches will each get
Answer:
7
Step-by-step explanation:
35/5 = 7