Step-by-step explanation:
Given
25 - (- 4)
= 25 + 4
= 29
Hope it will help :)
Answer:
the answer to this question is 29
Factor by grouping.
64p2 – 48p – 27
(8p – 9)(8p – 3)
(8p – 9)(8p + 3)
(8p + 9)(8p + 3)
(8p + 9)(8p – 3)
Answer:
B
Step-by-step explanation:
hope this helps with the work
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
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Evaluate the line integral by the two following methods.
Image for Evaluate the line integral by the two following methods. Integrate xy dx + x2y3 dy C is counterclockwise aroun
xy dx + x2y3 dy
C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)
(a) directly
(b) using Green's Theorem
The line integral in both cases is 52/3
Given,
a) The line integral; L = ∫c xy dx + x² y³ dy
Where C is counterclockwise around the triangle with vertices (0, 0),
(1, 0) and (1, 4)
Our first line integral is
L₁ = ₁∫₍₀, ₀₎ ⁽¹ ⁰⁾ xy dx + x² y³ dy
The equation of this line is y = 0, x varies from 0 to 1.
L₁ = 0
Our second line integral is
L₂ = ₁∫₍₁, ₀₎ ⁽¹ ⁴⁾ xy dx + x² y³ dy
The equation of this line is x = 0 and y varies from 1 to 4.
L₂ = 64/3
The third line integral is
L₃ = ∫₁⁰ xy dx + x² y³ dy
The equation of this line is y = 4x and x varies from 0 to 1.
L₃ = -4
The value of the line integral is
L = L₁ + L₂ + L₃ = 0 + 64/3 + (-4) = 52/3
b) The second part requires the use of Green's Theorem to evaluate:
This is given by:
∫c Pdx + Qdy = ∫ ∫ R Qy - Px dA
∫c xy dx + x² y³ dy = ∫ ∫R 3x² y² - ydA
We choose our region of integration parallel to the y-axis.
∫c xy dx + x² y³ dy
= ∫¹₀ ∫⁴ˣ₀ 3x² y² - y dy dx
= ∫¹₀ x² y³ - 1/4 |y²|²ˣ₀ dx
= ∫¹₀ 64x⁵ - 4x² dx = 52/3
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Please help me with 1,2,3,4,5,6 please
Answer:
all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²
longest side is called hypotenious (h)
and u can assume any of the remaining side as p and b as your choice
eg=
1) h=13
p=12
b=?
using pythagrous theroem
h²=p²+b²
13²=12²+b²
169= 144+b²
169-144=b²
25=b²
25 is the square root of 5 so
5²=b²
square root of each side will be cancelled so
b = 5
In this way u can solve your questione.....
Answer:
1.
\( {h}^{2} = {p }^{2} + {b}^{2} \)
\( {13}^{2} \: = {12}^{2} + {b}^{2} \)
\( {b}^{2} = {13}^{2} - {12}^{2} \)
\( {b }^{2} = 169 - 144\)
\( {b}^{2} = 25/tex]
\(b = \sqrt{25} \)
\(b = 5\)
hope this helps you all of your question's is base on the formula given above
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an elevator rises to the ninth floor. write an absolute value to represent the change in floor levels
Answer:
9 or +9
Step-by-step explanation:
The main level would be 0. Any level below that would be -1, -2 etc.
what if there were three colors of marbles in the bag, how many would you have to pull out to get two marbles of the same color? three? four? generalize by finding a formula for predicting the number of marbles you would have to pull out to get the same color of any amount you desire. repeat for four colors in the bag. please note that this is still not a probability problem.
For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
The number of marbles you would have to pull out to get two marbles of the same colour, when there are three colors in the bag, let's consider each case individually:
Case 1: Three colors in the bag
To guarantee two marbles of the same color, you would need to pull out four marbles. This is because the worst-case scenario would be pulling out one marble of each color first, and then the fourth marble would be guaranteed to match one of the previously pulled marbles.
General formula: For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
Case 2: Four colors in the bag
To guarantee two marbles of the same color, you would need to pull out five marbles. Following the same reasoning as before, pulling out four marbles could result in one of each color, and the fifth marble would guarantee a matching pair.
General formula: For n colors in the bag, you would need to pull out (n+1) marbles to guarantee two marbles of the same color.
Remember, this analysis assumes that all marbles are equally likely to be chosen and does not involve probability calculations.
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Which graph the linear inequality <_ 4x —3 ?
Answer:
B
Step-by-step explanation:
this is a very dumb question but what is -1^2? my calculator says its -1 but isnt -1*-1 = 1???? im very confused plzz help
Answer:
yes; -1² is 1.
if you put -1 in parentheses, like this (-1)², then it comes out as 1
Answer:
it is 1
Step-by-step explanation:
you have to put the number between parenthesis to give you the right answer. the calculator actually taking the minus sign separate from 1 because no brackets . Try (-1)²
1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating expenses include $130 for the staff and a film rental fee of $1.25 per student.
a. What equation relates the number of students x to the theater's income I?
b. What equation relates the theater's operating expenses E to the number of students x?
c. Copy and complete the table below.
Theater Income and Expenses
Number of Students, x 0 10 20 30 40 50 60 70
Income, I ($) box box box box box box box box
Expenses, E ($) box box box box box box box box
d. On the same set of axes, graph the theater's income and operating expenses for any number of students from 0 to 100.
e. Describe the patterns by which income and operating expenses increase as the number of students in a group increases.
f. Write and solve an equation that you can use to answer the question “How many students need to attend the movie so that the theater's income will equal its operating expenses?”
g. Write an equation that represents the theater's profit. Compare your equation to those your classmates wrote.
h. Find the number of students that make each of the following inequality statements true.
i. E < 255
ii. I > 675
The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.
The equation of the theatre's incomeThe theatre charges $4.50 per student.
Assume the number of students is x, the equation of the theatre's income would be:
I(x) = 4.5x
The equation of the theatre's expensesThe theatre expense per student is $1.25, and the operating cost on the staff is $130
The equation of the theatre's expenses would be:
E(x) = 1.25x + 130
Complete the tableUsing the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:
Students, x 0 10 20 30 40 50 60 70
Income, I 0 45 90 135 180 225 270 315
Expenses, E 130 142.5 155 167.5 180 192.5 205 217.5
The graph of the theatre's income and expensesSee attachment
The pattern by which theatre's income and expenses increaseThe functions I(x) and E(x) are linear functions.
So, the pattern with which the functions increase is a linear pattern.
The number of students when the theatre's income and expenses are equal
This means that:
I(x) = E(x)
So, we have:
4.5x = 1.25x + 130
Subtract 1.25 from both sides
3.25x = 130
Divide both sides by 3.25
x = 40
Hence, the number of students is 40
The theatre profitThis is the difference between the theatre expenses and their income.
So, we have:
P(x) = E(x) - I(x)
This gives
P(x) = 1.25x + 130 - 4.5x
Simplify
P(x) = 130 - 3.25x
Solution to the inequalitiesWe have:
E(x) < 255
This gives
1.25x + 130 < 255
Subtract 130 from both sides and divide by 1.25
x < 100 students
Also, we have:
I(x) > 675
This gives
4.5x > 657
Solve for x
x > 146 students
Hence, the number of students for the inequalities are less than 100 and greater than 146
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25+14 please answer this
Answer:
39
Step-by-step explanation:
Step-by-step explanation:
\(39 \: is \: the \: answer\)
Mr. johns invested in two businesses. Last year he gained 10% on the first investment and 12% on the second. If he invested $1000 more in the first business and gained a total of $6040 how much money did he invest in each business
Mr.johns invested money in each business is first business = $26909
and second business = $27909.
Given:
Last year he gained 10% on the first investment and 12% on the second if he invested $1000 more in the first business and gained a total of $6040.
Let x be the money invested in first business
From given statements:
10x/100 + (x + 1000)12/100 = 6040
multiply by 100 on both sides
10x + 12(x + 1000) = 6040*100
10x + 12x + 12000 = 604000
22x = 604000 - 12000
22x = 59200
x = 26909 invested in first business.
second business investment = 26909 + 1000 ⇒ 27909.
Therefore Mr.johns invested money in each business is first business = $26909 and second business = $27909.
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what’s 35 divide by 4?
Answer:
Step-by-step explanation:
35/4 = 8.75 or 8 3/4
Hector states that the figure to the right is a polygon is not regular. Do you agree with hector. Explan
Yes, i agree with hector. The polygon in above figure is irregular due to unequal side lengths and Hector also states that it is not regular or irregular.
A polygon is a 2-D geometric figure that has a finite number of sides. The sides are equal in length. It is a closed shape formed by end to end joining of straight line segments. For examples of regular polygons are square, rhombus, equilateral triangle, etc.
An irregular polygon, also called a non-regular polygon. It is a shape that does not have all sides of equal length and all angles of equal. For examples scalene triangle, rectangle, kite etc. are examplses of irregular polygon.
Now, we have a polygon present in above figure. As we see that this figure has 8 sides and length of one side is equal to its opposite side, but all sides are not equal length. So, it is an irregular polygon. Hector also states that above figure is irregular polygon. Hence, i agree with hector.
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Complete question:
Hector states that the figure to the above is a polygon is not regular. Do you agree with hector. Explan
Question 6
Eric is baking a cake. The recipe calls for
or 2 1/2 pounds of flour for every 1/4 cup of sugar. How many pounds of flour should Eric use for 1 cup of sugar?
Answer:
10 lbs.
Step-by-step explanation:
If its 2.5 pounds of flour for every .25 cup of sugar
do
1/(1/4)
to get 4 and then do
4 * 2.5
Write 12 1/ 3 as an improper fraction.
Answer:
37/3
Step-by-step explanation:
we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator
Find the amount financed on a TV with a cash price of $245.00 and a down payment of $4.90.O A. $245.00B. $4.90O C. $48.99D. $240.10
Given:
A TV with a cash price of $245.00 and a down payment of $4.90.
So, the amount financed =
\(245.00-4.90=240.10\)So, the answer will be option D. $240.10
You have 30 quarters. You find 20% more quarters in your room. Then you go shopping and
spend 50% of the total number of quarters. Write an expression to represent the total number of quarters you take with yo
shopping. Calculate, in dollars, the amount of money you have left.
The amount of money left with me with the help of calculation is 18 quarters.
How to convert percentages to numbers?In order to convert percentages to numbers, take the base as 100 and calculate with respect to it.
The initial amount of quarters I had is 30 quarters.
Now since 20% more is added, hence 120% of 30 = 36
Now, I spend 50% of the total number of quarters.
Hence quarters spent- 50% of 36= 18
So, the quarters left - 36-18= 18 quarters
Hence the amount of money left is 18 quarters.
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Suppose the inflation rate is 7% per year. How much would a $24 pair of sneakers cost in 8
years? Estimate your answer to 2 places after the decimal.
Answer:
the answer to your question is $25.81
Kristina walks from her house, around the park, to the store. She is interested in taking a shortcut through the park to save time. Approximately how far away from her house is the store, if she were to follow the path shown by the dotted line in the graphic below?* HOUSE PARK 80 m 100 m STOR O 134 m O 128 m O 180 m 200 m nal. If a 65 inch television has 1 point
If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.
How to calculate the distance between her house and the store?To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;
C² = a² + b²
where;
a= 80
b= 100
c= ?
That is;
c²= 80²+100²
= 6400+10000
= 16,400
c = √16400
= 128.1m
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Write an equation of the line through (2,5) and parallel to y = 3x - 8. Write the equation in the form x = a, y=b, or y=mx+b.
The equation of the line is
d
>
Answer:
thats a really hard question problem is that my phones broken and i cant see clearly
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Brainlyyyyyyyy
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)
P(x) = x^3 − x^2 − x − 5
number of positive zeros possible number of negative zeros possible number of real zeros possible
According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
Descarte's Rule of Signs determines the number of real zeros in polynomial functions.
This indicates that -
The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.
The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.
Here, the polynomial function is given as -
\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)
We have to find out the number of positive and negative real zeros that the given polynomial can have.
The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).
So, the coefficients of the variables in P(x) are -
1, -1, -1, -5
From above, we see that -
There is a sign change in the first and second variable coefficients
There is no sign change in the second and third variable coefficients
There is no sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.
So, we can determine that the number of positive real zeroes of the given polynomial can be 1.
To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).
From equation (1), we can write P(-x) as -
\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)
So, the coefficients of the variables in P(-x) are -
-1, -1, +1, -5
From above, we see that -
There is no sign change in the first and second variable coefficients
There is a sign change in the second and third variable coefficients
There is a sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.
So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.
Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
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A rectangle has a height of 4 and a width of x^2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
x^2
3x
2
1
4
Area=?
Step-by-step explanation:
area = length × width = 4(x² + 3x + 2) =
= 4x² + 12x + 8
Occasionally, & random sample of three packages of Skittles Is selected from the output and weighed, to be sure that the manufacturing process is under control. Here are data on five such samples Measurements are in ounces: Sample Measurements 3.61 3.58 3.62 3.65 3.62 3.49 3.56 3.58 43.67 3.49 3.65 3.45 3.64 3.54 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: 0.16 b. 0.06 c.0.10 none of the above e.0.11
The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.
To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.
Sample 1: Range\(= 3.62 - 3.58 = 0.04\)
Sample 2: Range\(= 3.65 - 3.49 = 0.16\)
Sample 3: Range \(= 3.65 - 3.45 = 0.20\)
Sample 4: Range \(= 3.64 - 3.54 = 0.10\)
Sample 5: Range\(= 3.62 - 3.49 = 0.13\)
Next, we calculate the average of these sample ranges:
A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)
Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)
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an antelope can run at a speed of 61 miles per hour. what is the speed on feet per second?
Answer:
0.489 yards per second
Step-by-step explanation:
3(2w -4) equals what
Answer:
6W-12
Step-by-step explanation:
Answer:
6w-12
Step-by-step explanation:
distribute:
3(2w-4) = 6w-12
a rectangular box with no lid is to be constructed from 100 square inches of material. find the dimensions that will yield the box with largest volume.
The dimensions that yield the box with the largest volume are 5√2 inches by 5√2 inches by 5√2 inches.
To maximize the volume of the box, we need to determine the dimensions that will use up all 100 square inches of material while maximizing the volume of the box. Let the length, width, and height of the box be denoted by x, y, and z, respectively.
From the given information, we know that the surface area of the box is 2(xy + xz + yz) = 100, which simplifies to xy + xz + yz = 50.
The volume of the box is V = xyz, so we need to find the maximum value of V subject to the constraint xy + xz + yz = 50.
We can use Lagrange multipliers to solve this optimization problem. Let
f(x, y, z) = xyz
g(x, y, z) = xy + xz + yz - 50
The Lagrangian function is
L(x, y, z, λ) = f(x, y, z) - λg(x, y, z) = xyz - λ(xy + xz + yz - 50)
Taking partial derivatives with respect to x, y, z, and λ and setting them equal to zero, we get the following system of equations:
yz - λ(y + z) = 0
xz - λ(x + z) = 0
xy - λ(x + y) = 0
xy + xz + yz - 50 = 0
Solving this system of equations yields
x = y = z = 5√2
Therefore, the dimensions that yield the box with the largest volume are 5√2 inches by 5√2 inches by 5√2 inches.
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Brandon bought a jacket on sale for 40% off the original price an additional 25% off they discounted price of the jacket originally cost $60 what was the final cost without tax the Brandon paid for the jacket
The final cost be $27.
Given that,
Brandon bought a jacket on sale for 40% off the original price an additional 25% off they discounted price of the jacket originally cost $60.Based on the above information, the calculation is as follows:
\(= \$60 \times (1-0.40) \times (1-0.25)\)
= $27
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Enter the values needed to find thelength CB. (Simplify your answer.)A(-3a, b)IFB(3a, b)ECB = V(4a)2 + ([?])2C(-a, -5b)Distance Formula: d = (x2 – xı)2 + (y2 - yı)2
We are asked to find the values needed for the length CB
The coordinates of points C and B are given as
C(-a, -5b)
Recall that the distance formula is given by
\(d=\sqrt{\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }\)For the given case,
\(\begin{gathered} (x_1,y_1)=\mleft(-a,-5b\mright) \\ (x_2,y_2)=\mleft(3a,b\mright) \end{gathered}\)Let us substitute these coordinates into the above distance formula
\(\begin{gathered} CB=\sqrt[]{({x_2-x_1})^2+({y_2-y_1})^2} \\ CB=\sqrt[]{({3a_{}-(-a)})^2+({b_{}-(-5b)_{}})^2} \\ CB=\sqrt[]{({3a_{}+a})^2+({b_{}+5b})^2} \\ CB=\sqrt[]{({4a})^2+({6b})^2} \end{gathered}\)Therefore, the required values are
\(CB=\sqrt[]{({4a})^2+({6b})^2}\)42 multiplied by 7:3
Answer
Step-by-step explanation:
Answer:
42/1 x 7/3= 294/3= 98
Step-by-step explanation:
Here is the histogram of a data distribution.
What is the shape of this distribution?
O A. Uniform
B. Unimodal skewed right
C. Bimodal
D. Unimodal skewed left
E. Unimodal symmetric
Answer:
Bimodal - A P E X
Step-by-step explanation:
a p e x
Shape of the distribution shown by histogram is Bimodal.
Correct option is C.
What is histogram?A histogram is a graphical representation of data points organized into user-specified ranges. Similar in appearance to a bar graph, the histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins.
Given,
Graph of the distribution,
Bimodal distribution - The bimodal shape has two peaks, as shown. This shape indicates that the data comes from two different systems. When this form occurs, the two sources should be separated and analyzed separately.
Hence, the given histogram shows Bimodal distribution.
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