The area, in square inches, of the composite figure is: 112.125 square inches.
How to obtain the areaTo obtain the area in square inches of the composite figure, we can start by calculating the area of the rectangle to be
= length x width = 14 x 2
= 28 square inches
The leg length of 25 will be divided by 2 to give 12.5. Next we find the area of the isosceles right triangle as follows:
= (leg length)^2 / 2 = (12.5)^2 / 2 = 78.125 square inches.
The combined area = Area of rectangle + Area of isosceles right triangle
= 28 + 78.125
= 106.125 square inches
So, the area of isosceles triangle = (base x height) / 2
= (4 x 3) / 2
= 6 square inches
Now we can add up the areas of the individual shapes to find the total area of the composite figure:
Total area = Combined area + Area of isosceles triangle
= 106.125 + 6
= 112.125 square inches
Complete Question:
Find the area, in square inches, of the composite figure. A composite figure consisting of an isosceles right triangle, a rectangle, and an another isosceles triangle. The combined length of the right triangle and the rectangle is 25 inches. The length of only the rectangle is 14 inches. The base of the other isosceles triangle, which is the same as the width of the rectangle, is 2 inches plus 2 inches, and the height of the isosceles triangle is 3 inches
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What is the mean, median, mode, and range for 53, 13, 34, 41, 26, 61, 34, 13, 69
Answer:
Answers down below!
Step-by-step explanation:
Mean: 38.2
Median: 34
Range: 56
Mode: 13 and 34
Hope this helps!
Factor ax-2bx + ay-2by
For the line y = 1 — 4x, create a table to show the values of x and y where x is from -2 to 2.
Answer:
Answers in the picture. Thanks
To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).
Explanation:
The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.
When x = -2, y = 1 - 4*(-2) = 1 + 8 = 9When x = -1, y = 1 - 4*(-1) = 1 + 4 = 5When x = 0, y = 1 - 4*0 = 1When x = 1, y = 1 - 4*1 = 1 - 4 = -3When x = 2, y = 1 - 4*2 = 1 - 8 = -7
So, the table representing these values would look like this:
x y
-2 9
-1 5
0 1
1 -3
2 -7
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Simplify (2x3y)(3x4y2).
5x7y3
6x7y2
6x7y3
6x12y2 -------------------------------- (69 points ill follow you thank the question and
account if its right)
The expression[tex](2x^3y)(3x^4y^2)[/tex] simplifies to [tex]6x^7y^3[/tex]. The coefficients are multiplied, and the variables are combined by adding their exponents. Option C.
To simplify the expression [tex](2x^3y)(3x^4y^2),[/tex] we can multiply the coefficients and combine the variables with the same base by adding their exponents.
Multiplying the coefficients, we have:
2 * 3 = 6
For the variables, we multiply the x terms by adding their exponents (3 + 4 = 7), and the y terms by adding their exponents (1 + 2 = 3).
Therefore, simplifying the expression [tex](2x^3y)(3x^4y^2)[/tex] gives us:
[tex]6x^7y^3[/tex]
Hence, the simplified form of[tex](2x^3y)(3x^4y^2)[/tex] is[tex]6x^7y^3[/tex]. Option c is correct.
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Answer:
C:6x7y3
Step-by-step explanation:
i took the test and got it right
If the radius is 3 and LM=2, what is KL?
The calculated value of the length of segment KL is 4 units
Calculating the length of segment KLFrom the question, we have the following parameters that can be used in our computation:
Radius, r = 3
LM = 2
JK = 3
The length KL is calculated as
KL² = JL² - JK²
Where
JL = r + LM = 3 + 2 = 5
Substitute the known values in the above equation, so, we have the following representation
KL² = 5² - 3²
KL² = 16
Take the square roots
KL = 4
Hence, the length is 4 units
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If the area of a triangle is 72 square inches and the height is 6 inches, what is the length of the base
Answer: 24 inches.
Step-by-step explanation:
We can use the formula for the area of a triangle to solve for the length of the base:
A = (1/2)bh
where:
A = the area of the triangle (in this case, 72 square inches)
b = the length of the base (what we're trying to find)
h = the height of the triangle (in this case, 6 inches)
Plugging in the values we know, we get:
72 = (1/2)b(6)
72 = 3b
b = 24
Therefore, the length of the base of the triangle is 24 inches.
Find the total surface area of this triangular prism
Answer:
2(1/2)(8)(15) + 17(2) + 8(2) + 15(2)
= 200 cm^2
4 rows. She decides to plant 1 2 of a row of each type of pepper. How many different types of peppers is she going to
How to do this cuz I’m a little slow
Carrington had a checking account balance of $800 at the
beginning of the month. She deposited $2,800 and used her debit
card for purchases of $310, $88, and $35.50. She also wrote
checks for $150 and $375.
What is her balance now?
Her current checking account balance is $2,641.50.
Account balance calculation.
To find Carrington's current checking account balance, we need to add up all the deposits and subtract all the withdrawals from her starting balance.
Starting balance = $800
Deposits = $2,800
Withdrawals = $310 + $88 + $35.50 + $150 + $375 = $958.50
Therefore, Carrington's current checking account balance is:
$800 + $2,800 - $958.50 = $2,641.50
Her current checking account balance is $2,641.50.
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What is the sum and the product of x^2-9x+8
Answer:
Step-by-step explanation:
This is a trinomial quadratic equation
x^2-9x+8
= x^2 -x-8x+8
= (x-1)(x-8)
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
What is the measure of the third angle?
Responses
60°
80°
100°
180°
The measure of the third angle in the triangle is 80 degrees.
What is the measure of the third angle?The sum of the angles in a triangle is always 180 degrees.
Therefore, to find the measure of the third angle in the triangle with angle measures of 40° and 60°,
We can subtract the sum of these two angles from 180°:
180° - (40° + 60°) = 180° - 100° = 80°
Therefore, the measure of the third angle in the triangle is 80 degrees.
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(ASAP!) Graph the image of the figure on the right under the given translation.
The translation is as shown in the figure in option B
What is translation transformation?Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.
The transformation required ahs the rule defined as
3 units to the right and 4 unit upApplying the rule arrives the image in option B
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which statement is true about this equation
The equation represents a linear function.
What is quadratic equation?
A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.
The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.
If the discriminant is positive, then the equation has two distinct real roots.
If the discriminant is zero, then the equation has one real root (also known as a double root).
If the discriminant is negative, then the equation has two complex roots (conjugate pairs).
In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:
b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4
Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.
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How to do substitution
simply the following expression below.
(5x^2 + 5x -6)
Answer: It is simplified the way it is it can not be simplified anymore. its a trick question
Step-by-step explanation:
P=70q, p=-q^2+12000
Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given
The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.
The supply function of a commodity is given as, p= 70q
The demand function of the commodity is given as, p= -q^2+12000
We know at equilibrium condition of market,
Supply of a commodity is equal to its demand in the market.
Therefore,
70q = p = -q^2+12000
⇒ 70q = -q^2+12000
⇒ q^2+ 70q -12000 = 0
⇒ q^2+ 150q - 80q -12000 = 0
⇒ q( q + 150) - 80( q + 150) = 0
⇒ (q -80) ( q + 150) = 0
⇒q = 80 ad q = -150
We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.
Therefore, the equilibrium quantity of the commodity is 80 units.
Thus, p = 70(80) = 5600 (in monetary units)
Therefore, equilibrium price of the commodity is 5600 (in monetary units).
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1+1+1+1+1++1+1+1++1+1+1+1+1+3+3+34+4748957+84765-8476+84564-4-776466+4765
If you give me a crown I give you 50 points.
Answer:
4138158
Step-by-step explanation:
1+1+1+1+1+1+1+1+1+1+1+1+1+3+3+34
-13+6+34
-19+34
=59
4748957+84765
=4833722
59+4833722
=4833781
keep counting all of the number and then you get the same (?? iguess) answer as mine.
Question 7 of 8
Which variable is most important to the following problem?
Ralph and Patrick play on a basketball team. Ralph played the whole first
quarter and the first 4 minutes of the second quarter. Patrick played the rest
of the second quarter and all of the third quarter. Ralph played the whole
fourth quarter. Each quarter is 10 minutes long. How long did Patrick play?
O A. the number of minutes Patrick played
B. the number of substitutions between Patrick and Ralph
C. the number of players on the team
OD. the length of a quarter
Answer:
D. the length of the quarter
Step-by-step explanation:
Given Patrick started playing 4 minutes into the 2nd quarter, and played until the end of the 3rd quarter, you want to know how long Patrick played.
QuarterIf q is the length of a quarter, Patrick's playing time is ...
2q -4 . . . . minutes
In order to give this a numerical value, we need to know the value of q.
The most important variable to the problem is ...
D. the length of a quarter.
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-3×(2×-5) how do u solve it
The value of 3×(2×-5) is 30
What is meant by the term value?
Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.
According to the given information
To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:
2×-5 = -10
Then, we can substitute this value into the original expression and simplify further:
-3×(-10) = 30
Therefore, -3×(2×-5) = 30.
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Only questions 7, 9, 10, and 11
PLS show how you got the answer and explain
GIVING BRAINLIEST
Answer:
7) .15 + .7 = .85, .1 + .7 = .8
9) Another way to write 44n (44
times n) is 44•n.
Another way to write 44 ÷ n (44
divided by n) is 44/n.
10) $.25 × 7 = $1.75
11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?
Can a binomial probability distribution with p =.10 and n = 40 be approximated by the normal probability distribution? If so, what are the mean and standard deviation for the normal approximation?
The normal approximation for the given binomial distribution with p = 0.10 and n = 40 has a mean of 4 and a standard deviation of 1.93.
The binomial probability distribution can be approximated by the normal distribution when certain conditions are met, such as a large sample size and a probability of success not too close to 0 or 1.
In this case, n = 40 and p = 0.10. To determine if the normal approximation is appropriate, we can check if both np and n(1-p) are greater than or equal to 10
np = 40 x 0.10 = 4
n(1-p) = 40 x 0.90 = 36
Both np and n(1-p) are greater than or equal to 10, so the normal approximation is appropriate.
The mean of the binomial distribution is given by μ = np = 4, and the standard deviation is given by σ = √(np(1-p)) = √(40 x 0.10 x 0.90) ≈ 1.93.
To find the mean and standard deviation of the normal approximation, we use the same mean and standard deviation values
μ = np = 4
σ = √(np(1-p)) ≈ 1.93
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Andre, Bilal, Glenna, and Juanita are all friends. They have given each other nicknames as well. The four nicknames are Boss, Buzz, Cosmo, and Tiger. The following clues, determine the nickname of each of the friends. friends are competing in the track and field day at their school. Using the Clues: 1. Juanita beat Tiger in the 400 m race, but Juanita lost to Buzz in the high jump. 2. Glenna and Tiger tied in the long jump, but Boss beat Glenna in the 1500 m 3. Cosmo, Tiger and Andre found the water station together after the first event. 4. Cosmo and Juanita ran separate legs on the relay race. race. Problem A Track and Field be helpful in solving this problem. The table below, with a column for each name and a row for each nickname, may Boss Buzz Cosmo Tiger Andre Bilal Glenna Juanita
Answer:vvv
Step-by-step explanation:
Boss's nickname is Boss because they beat Glenna in the 1500m race.
Buzz's nickname is Buzz because they beat Juanita in the high jump.
Cosmo's nickname is Cosmo because they were with Tiger and Andre at the water station.
Tiger's nickname is Tiger because they lost to Juanita in the 400m race and tied with Glenna in the long jump.
Andre's nickname is not given, but we know they ran a leg of the relay race with Bilal.
Bilal's nickname is not given, but we know they ran a leg of the relay race with Andre.
Glenna's nickname is not given, but we know they tied with Tiger in the long jump.
Juanita's nickname is not given, but we know they lost to Buzz in the high jump and beat Tiger in the 400m race, and ran a leg of the relay race with Cosmo.
given the following situation, determine if the data is rank data. a publix manager wants to measure the difference in the total value sales on a saturday vs. a monday. he randomly selects sales data from 20 saturdays and 20 mondays from the previous year and he analyzes his data. is this rank data? group of answer choices not rank data rank data
Last year Liz bought a book for $10. This year the same book is on sale for $5. What was the percent of change?
The percent of change in the price of the book is 50%.
To calculate the percent of change, we first need to find the difference between the original price and the new price. In this case, the original price of the book was $10, and the new price is $5. To find the difference, we can subtract the new price from the original price, which is:
$10 - $5 = $5
Now, we need to express this difference as a percentage of the original price. To do this, we divide the difference by the original price and then multiply by 100. In other words, we need to find the percentage that the original price has changed by. This can be represented mathematically as:
Percent of change = (Difference / Original price) x 100
Plugging in the values we found earlier, we get:
Percent of change = ($5 / $10) x 100
Percent of change = 0.5 x 100
Percent of change = 50%
This means that the price of the book has decreased by 50% from the original price of $10 to the sale price of $5.
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A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7) and no other critical points. How many real zeros does p(x) have?a) oneb) twoc) threed) foure) five
The polynomial p(x) has option (c) three real zeros because it has a relative maximum at (-2, 4), a relative minimum at (1,1), a relative maximum at (5,7), and a negative leading coefficient.
Since p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7), it means that the degree of the polynomial must be odd and at least three.
Moreover, we know that p(x) has no other critical points. This means that p(x) does not change sign between these relative extrema, which in turn implies that there are no real zeros between these extrema.
Therefore, the number of real zeros of p(x) is either one or three. To determine the answer, we need to consider the leading coefficient of p(x).
If the leading coefficient is positive, then p(x) must eventually increase on both ends, since the degree is odd. This means that there is exactly one real zero.
If the leading coefficient is negative, then p(x) must eventually decrease on both ends. In this case, since there are three relative extrema, there must be three real zeros.
Thus, we need to find the sign of the leading coefficient of p(x). This can be done by looking at the relative extrema.
Since p(x) has a relative maximum at (-2, 4), we know that the leading coefficient is negative.
Therefore, the correct option is (c) three.
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A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, 1), and a relative maximum at (5, 7), with no other critical points. This means there are turning points at these coordinates. Since there are two relative maxima and one relative minimum, the polynomial must have at least 3 turning points.
A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
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Which trapezoid is not isosceles
Answer:
D) a trapezoid with congruent diagnols
Explanation:
When none of the sides of a trapezoid are congruent, then it is a non isosceles trapezoid or a scalene trapezoid.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Factor completely and then place the factors in the proper location on the grid.
20y 2 + 3y - 2
The complete factorization of the quadratic equation, would lead to the factor being (5y + 1)(4y - 1).
How to factor completely ?To factor the quadratic expression 20y² + 3y - 2 completely, we can use the "ac method" (product-sum method).
Rewrite the quadratic expression using these two numbers:
20y² - 5y + 8y - 2
Now, factor by grouping:
5y(4y - 1) + (4y - 1)
Now, we can see that there is a common factor of (4y - 1) in both terms:
(5y + 1)(4y - 1)
So, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).
In conclusion, the factored form of the quadratic expression 20y² + 3y - 2 is (5y + 1)(4y - 1).
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what is the mean of a game where one of the two possible outcome happens 20% of the time, with a value of 5, and the other possible outcome has a value of 10 g
The mean of the game is 9
To find the mean of a game with two possible outcomes, we need to multiply the value of each outcome by its probability and then add the results.
Let X be the random variable representing the outcome of the game. The first outcome has a value of 5 and a probability of 0.2, while the second outcome has a value of 10 and a probability of 0.8.
Thus, the expected value or mean of the game can be calculated as:
E(X) = (0.2 x 5) + (0.8 x 10)
= 1 + 8
= 9
Therefore, the mean of the game is 9
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What is the value of the expression below?
(31½ - 93) ÷ (-2.5)
A - 2.5
B-2.3
C 2.3
D 2.5
Answer: the value of the expression is 24.6, which corresponds to option C.
Step-by-step explanation: In order to assess the expression, we must adhere to the sequence of operations (PEMDAS) and execute the computations in the subsequent manner:
Begin by calculating the expression in the parentheses as a priority: (31.5 squared minus 93) equals negative 61.5.
Next, perform the operation of dividing -61.5 by -2.5 which results in 24.6.