The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day
Answer:
32
Step-by-step explanation:
The number 1.41421356 is a rational or irrational number
Answer:
The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as 2 (1.41421356..., the square root of 2, an irrational algebraic number).
2-27–89-76–99 how in which way do I answer this
you answer it the right way
connor has 48 m of fencing to build a four-sided fence around a rectangular plot of land. the area of the land is 140 square meters. solve for the dimensions (length and width) of the field.
The dimensions of the rectangular plot are either 10 m by 14 m or 14 m by 10 m.
The length and width of the rectangular plot can be solved using a system of equations based on the given information. Let L be the length of the plot and W be the width.
From the given information, we know that the perimeter of the plot is 48 m:
2L + 2W = 48
We also know that the area of the plot is 140 square meters:
L * W = 140
We can use the first equation to solve for L in terms of W:
L = 24 - W
Substituting this expression for L into the second equation gives:
(24 - W) * W = 140
Expanding and rearranging this equation gives:
W² - 24W + 140 = 0
We can use the quadratic formula to solve for W:
W = (24 ± √(24² - 41140)) / 2
W = 10 or W = 14
If W = 10, then L = 24 - 10 = 14. If W = 14, then L = 24 - 14 = 10.
Therefore, the dimensions of the rectangular plot are either 10 m by 14 m or 14 m by 10 m.
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Does dividing the angle measures of a triangle change its shape?
For example, if I divide each angle measure of a triangle in half, will the triangle become smaller? Or does it not affect the size at all?
The main elevator in the Willis Tower
descends 420 meters in 60 seconds. What
integer represents the change in the height
of the elevator, in meters, every second?
Integer represents the change in the height of the elevator, in meters, every second is 25200.
Define speed.The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Given Data
The main elevator in the Willis Tower descends 420 meters in 60 seconds.
Distance = 420meters
Time = 60 seconds
Speed = distance (time)
Speed = 420(60)
Speed = 25200
Integer represents the change in the height of the elevator, in meters, every second is 25200.
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34. A store has a loyalty points program. When you
sign up, you get 15 points. You get 4 points with every
additional purchase at the store. Points can be
redeemed for discounts.
How many points will you have after shopping 30
times?
Answer:
135 points
Step-by-step explanation:
We can solve this easily, 30x4=120+15=135
So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.
(2,-9) reflected over the y-axis
The new point is (-2, -9).
What happens when a point is reflected about an axis?
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
Given, the point to be reflected is : A : (2, -9)
Also, the axis through which the point is to be reflected is y-axis.
Following the statement established in the literature, we have:
The point (2, -9) when reflected over the y-axis, the x-coordinate is assumed to be the additive inverse, thus the new co-ordinate is (-2, -9).
The new point is (-2, -9).
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What is the total surface area ? 9m 7m 7m
Answer:
441 m^3
Step-by-step explanation:
just multiply 9x7x7 and then u have 441^3 lol
write the equation of an exponential decau function with a range of (-inifinage,10) verticlal shrink of 3/4 and vertical shift up 10 units
The equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.
An exponential decay function can be written as f(x) = ab^x where b is the base of the exponential function and a is the initial value. If b is between 0 and 1, the function will exhibit exponential decay. Since we need a vertical shrink of 3/4, we can set b = 3/4.
We also need a vertical shift of 10 units, so we add 10 to the function. The resulting function is: f(x) = 10 - (3/4)^x. Therefore, the equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.
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the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top
Answer: 35ft
Step-by-step explanation:
The area for a rectangle or square is Width times Length (W*L)
So we can take our given measurements and multiply them
\(5*7=35\)
A universal set contains all natural numbers from 1-30. The following two subsets are created from the universal set
- Set A contains numbers that are no more than 13
- Set B contains numbers that are prime
Place each element of the universal set in the Venn diagram to the right.
(LIST NUMBERS IN EACH SECTION FROM LEAST TO GREATEST)
The Venn diagram for set A, set B and Universal Set is shown below.
For the Venn diagram, you would typically have two overlapping circles representing Set A and Set B. Here's how you can place the elements:
Set A contains numbers that are no more than 13. Therefore, you would place the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 13 within the region of Set A.
Set B contains prime numbers. Prime numbers are numbers that are only divisible by 1 and themselves.
Within the universal set, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Place these prime numbers within the region of Set B.
In the Venn diagram, the overlapping region between Set A and Set B would represent the numbers that satisfy both conditions, i.e., numbers that are no more than 13 and prime. In this case, the overlapping region would contain the numbers 2, 3, 5, 7, 11, and 13.
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HELP ! what’s the answer u= 4a-3 for a ?
Answer:
a = \(\frac{3}{4}\)
I hope this helps!
What are the dimensions of the cereal box?
The length is
in., the width is
in., and the height is
in.
Answer:
The length is 6 in., the width is 2 in., and the height is 16 in.
Answer:
length 6in.
width 2in.
height 16in.
Step-by-step explanation:
edge 2020
******WHO ANSWERS WILL BE MARK AS BRAINLIEST******\
The length of the segment EF is 12 cm. What is the length of ED? *
DE = 6 SqRt 3 cm
DE = 3 SqRt 12 cm
DE = 6 SqRt 12 cm
DE = 3 SqRt 3 cm
Answer:
ED = 6√3 cm
Step-by-step explanation:
This is a 30-60-90 triangle. Remember the rules. Hypotenuse is always 2x. Leg across from 60° is x√3. Leg across from 30° is x.
12 = 2x
x = 6
ED = x√3
ED = 6√3
Which is a unit rate?
47¢ for 2 pens
20 gallons for 2 hours
15 hours for 3 months
18 miles driven in a week
i neeeeed this answer pls hurry the next if someone gets this question right ill give all my points
Solving the inequality, it is found that three values that would make the inequality true are given as follows: y = 12, y = 15, y = 18.
What is the solution to the inequality given in the problem?The inequality is given by:
y + 7 > 18.
We solve it similarly to an equality, hence the solution is given as follows:
y > 18 - 7.
y > 11.
Hence three values that would make the inequality true are given as follows: y = 12, y = 15, y = 18.
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Lydia invests $1000 in an account that pays
5.25% compounded daily. Gabrielle invests the
same amount of money in an account that pays
5.25% compounded semi-annually instead.
Lydia makes more money in 3 years, but how
much more does she make?
Lydia earns $52.5 more than Gabrielle after 3 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
we can use the formula for compound interest:
\(A = P(1 + r/n)^n^t\)
where A is the final amount,
P is the principal (initial investment),
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.
For Lydia (n=365)
A=1000(1+0.0525/365)¹⁰⁹⁵
A=1115.7
For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):
A = 1000(1 + 0.0525/2)⁶
A = 1000(1.0265625)⁶
A = 1168.2
To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:
1168.2- 1115.7 = 52.5
Hence, Lydia earns $52.5 more than Gabrielle after 3 years.
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A bowl contains a total of 36 blue and red marbles. There are twice as many red marbles
as blue marbles. How many blue marbles are in the bowl?
Which of these let statements should you use?
Answer:
There are 12 red marbles
which of the following is not a measure of dispersion? question 9 options: mode standard deviation range interquartile range
The measure of dispersion is a statistical term that refers to the degree of variability in a set of data. The extent to which the data in the set deviate from the mean or the central value is referred to as the measure of dispersion. There are several measures of dispersion, and some of them are more suitable for certain types of data than others. The following is not a measure of dispersion:
Mode. Mode is not a measure of dispersion, but rather a measure of central tendency. It represents the most frequent value in a data set. In statistics, the mode is the most common value in a data set, which is usually the highest peak of a frequency distribution graph. In summary, mode is not a measure of dispersion, but rather a measure of central tendency. Standard deviation, range, and interquartile range are all measures of dispersion. Standard deviation is a measure of how spread out the data is from the mean, while range and interquartile range are measures of how much the data is spread out from the minimum and maximum values or the median, respectively.
Therefore, if you want to find the amount of variability in a data set, you should use one of these three measures of dispersion. To summarize, the mode is not a measure of dispersion, while standard deviation, range, and interquartile range are measures of dispersion.
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Correct the mistake from nr. 6. Thank you!
Answer:
The correct form for each case is:
a) 4 (5x + 6) = 20x + 24b) -5 (2x - 3) = -10x + 15c) 3 (9x + 2y) = 27x + 6yStep-by-step explanation:
I'm gonna give you the reason for each case.
a) The original equation is:
4 (5x + 6) = 20x + 6Now, we're gonna solve the first part of the equation and comparate:
4 (5x + 6)20x + 24How you can see, the first part is different from the last number, for this reason, the mistake is the 6, then I change it by the 24.
b) The original equation is:
-5 (2x - 3) = -10x - 15As the previous exercise, we're gonna solve the first part:
-5 (2x - 3)-10x + 15You must know that when you multiply two negative signs, the result is positive.
c) The original equation is:
3 + (9x + 2y) = 27x + 6yBut, this equation can be made in this form:
9x + 2y + 3 = 27x + 6yHow you can see, the first part can't be operated or anything, the one form to operate this is removing the plus sign and operating like a multiply.
3 (9x + 2y) = 27x + 6y27x + 6y = 27x + 6y
Naomi wants to save $100 000, so she makes quarterly payments of$1500 into an account that earns 4.4%/a compounded quarterly. How long will it take her to reach her goal?
It will take Naomi approximately 4 quarters and 8 months, or 4.67 quarters to reach her goal.
How to calculate?To find the number of quarters required to reach $100,000 with a quarterly payment of $1500 and an interest rate of 4.4% compounded quarterly, we will use the formula below:
N = log((A / P) + 1) / log(1 + r)
Where:
N = number of quarters
A = target amount ($100,000)
P = payment per quarter ($1500)
r = interest rate per quarter (4.4%/4 = 1.1%)
Substituting the values, we have that
N = log((100,000 / 1500) + 1) / log(1 + 0.011)
N = log(66.67) / log(1.011)
N = 4.67 quarters
In conclusion, It will take Naomi approximately 4 quarters and 8 months, or 4.67 quarters to reach her goal.
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how do you determine the number of ways a computer can randomly generate a composite integer from 1 through 12?
On solving the provided question, we can say that by using N= 2X + 1 or N = 2X-1 will do the job for composite numbers.
what is composite numbers?By multiplying two small positive integers, you can create a composite number, which is a positive integer. Likewise, any positive integer that has at least one divisor besides itself and 1. Positive whole numbers make up composite numbers. It lacks prime (that is, it has divisors other than 1 and itself). The first several composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, and are frequently referred to simply as "composites." In other words, composite odd numbers encompass all non-prime odd numbers. for illustration: 9, 15, 21, etc. No. As a result, 2 only possesses the divisors 1 and 2. To put it another way, since 2 only has two divisors, it is not a composite number.
by using N= 2X + 1
or
N = 2X-1
will do the job for composite numbers.
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Quesrion 4 Consider o LPP Maximize Z=2x_1+2x_2+x_3-3X_4
subject to
3x_1+x_2-x₁≤1
x_1+x_2+x_3+x_4≤2
-3x_1+2x_3 +5x_x4≤6
X_1, X_2, X_3,X_4, X_5, X_6, X_7>=0
Adding the slack variables and applying Simplex we arrive at the following final
X₁ X2 X3 X4 X5 X6 X7 sbv X3 -2 0 1 2 -1 1 0 1
X2 3 1 0 -1 1 0 0 1 X7 1 0 0 1 2 -2 1 4 Z 2 0 0 3 1 1 0 3 tableau.
4.1-Write the dual (D) of the problem (P) 4.2-Without solving (D), use tableau simplex and find the solution of (D)
4.3- Determine B^(-1)
4.4-Suppose that a change in vector b (resources) was necessary for [3 2 4]. The previous viable solution? Case remains optimal negative, use the Dual Simplex Method to restore viability
The previous viable solution remainsb optimal even after the change in the vector b (resources).
4.1 - To write the dual (D) of the given problem (P), we first identify the decision variables and constraints of the primal problem (P). The primal problem has four decision variables, namely X₁, X₂, X₃, and X₄. The constraints in the primal problem are as follows:
3X₁ + X₂ - X₃ ≤ 1
X₁ + X₂ + X₃ + X₄ ≤ 2
-3X₁ + 2X₃ + 5X₄ ≤ 6
To form the dual problem (D), we introduce dual variables corresponding to each constraint in (P). Let Y₁, Y₂, and Y₃ be the dual variables for the three constraints, respectively. The objective function of (D) is derived from the right-hand side coefficients of the constraints in (P). Therefore, the dual problem (D) is:
Minimize Z_D = Y₁ + 2Y₂ + 6Y₃
subject to:
3Y₁ + Y₂ - 3Y₃ ≥ 2
Y₁ + Y₂ + 2Y₃ ≥ 2
-Y₁ + Y₂ + 5Y₃ ≥ 1
4.2 - To find the solution of the dual problem (D) using the tableau simplex method, we need the initial tableau. Based on the given final tableau for the primal problem (P), we can extract the coefficients corresponding to the dual variables to form the initial tableau for (D):
X₃ -2 0 1 2 -1 1 0 1
X₂ 3 1 0 -1 1 0 0 1
X₇ 1 0 0 1 2 -2 1 4
Z 2 0 0 3 1 1 0 3
From the tableau, we can see that the initial basic variables for (D) are X₃, X₂, and X₇, which correspond to Y₁, Y₂, and Y₃, respectively. The initial basic feasible solution for (D) is Y₁ = 1, Y₂ = 1, Y₃ = 4, with Z_D = 3.
4.3 - To determine \(B^(-1)\), the inverse of the basic variable matrix B, we extract the corresponding columns from the primal problem's tableau, considering the basic variables:
X₃ -2 0 1
X₂ 3 1 0
X₇ 1 0 0
We perform elementary row operations on this matrix until we obtain an identity matrix for the basic variables:
X₃ 1 0 1/2
X₂ 0 1 -3/2
X₇ 0 0 1
Therefore,\(B^(-1)\) is:
1/2 1/2
-3/2 1/2
0 1
4.4 - Suppose a change in the vector b (resources) is necessary, with the new vector being [3 2 4]. To check if the previous viable solution remains optimal or not, we need to perform the dual simplex method. We first update the tableau of the primal problem (P) by changing the column corresponding to the basic variable X₇:
X₃ -2 0 1 2 -1 1 0 1
X₂ 3 1 0 -1 1 0 0 1
X₇ 1 0 0 1 2 -2 1 4
Z 2 0
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Which statement can be used to solve for the measure of angle a?
Question 12 options:
a = 180° + 77° + 60°
a = 180° - 90° - 77°
a = 77° - 60°
a = 180° - 60° - 77°
To solve for the measure of angle a, let's evaluate each option:
1. \(\displaystyle\sf a = 180^{\circ} + 77^{\circ} + 60^{\circ}\)
Calculating the sum, we have \(\displaystyle\sf a = 317^{\circ}\)
2. \(\displaystyle\sf a = 180^{\circ} - 90^{\circ} - 77^{\circ}\)
Calculating the difference, we have \(\displaystyle\sf a = 13^{\circ}\)
3. \(\displaystyle\sf a = 77^{\circ} - 60^{\circ}\)
Calculating the difference, we have \(\displaystyle\sf a = 17^{\circ}\)
4. \(\displaystyle\sf a = 180^{\circ} - 60^{\circ} - 77^{\circ}\)
Calculating the difference, we have \(\displaystyle\sf a = 43^{\circ}\)
Based on the given options, the correct equation to solve for the measure of angle a is option 3: \(\displaystyle\sf a = 77^{\circ} - 60^{\circ}\). Therefore, the measure of angle a is \(\displaystyle\sf 17^{\circ}\).
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Katie ran 400 m at a speed of 6 m/s at the track meet. How long in seconds) did it take
Katie to run?
Answer:
It takes Katie 66 2/3 seconds to run 400m. Min conversion: 1 min and 6 2/3 secs
Step-by-step explanation:
2 divided by 5/12= what
Answer:
4.8
Step-by-step explanation:
2 ÷ 5/12 = 4.8
Make sure to use a calculator or solve on a piece of paper. :)
3 equivalent ratio to 9/2
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
let be a dodecagon (12-gon). three frogs initially sit at and. at the end of each minute, simultaneously, each of the three frogs jumps to one of the two vertices adjacent to its current position, chosen randomly and independently with both choices being equally likely. all three frogs stop jumping as soon as two frogs arrive at the same vertex at the same time. what is the expected number of minutes until the frogs stop jumping?
The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:
\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)
If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.
If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.
Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:
\(T = 1/3 * 1 + 2/3 * (T + 1)\)
The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.
Solving for T, we get:
T = 4
Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
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in a simple linear regression model, which of the coefficients in the estimated sample regression equation indicates the change in the predicted value of y when x increases by one unit?
In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.
In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.
The linear regression equation is given as:
y = b0 + b1 * x
Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable
In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.
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