Diagram A:
\(0+4-4=0\)Diagram B:
\(0-4+4=0\)They give the same result because of the commutative property of the addition. The order in which you sum the numbers does not change the result.
Also the identity proprty applies: any number plus 0 is equal to the same number.
PLEASE HELP!!
. Three people are sitting on a bus. Kenji is directly behind Rita and directly left of Franco. If Rita and Kenji
are 4 feet apart, and Franco and Rita are 4.7 feet apart, what is the distance between Kenji and Franco? If
necessary, round to the nearest tenth.
the distance between Kenji and Franco is approximately 1.9 feet (rounded to the nearest tenth).
72a^7/-9 as a monomial
Answer:
− 8 a ^7
Step-by-step explanation:
See picture for steps :)
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
What is 4N? I am very confused
Answer:
Step-by-step explanation:
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Paula received her bank statement at the end of the month. The details of her transactions are shown below.
Bill Payment
Check Deposit
Interest Payment
Online Purchase
Which is the transaction with the smallest magnitude?
OA. -$67.45
OB. -$50.87
OC. $35.09
OD. $59.56
-$50.87
$59.56
$35.09
-$67.45
The transaction done by Paula with the smallest magnitude is option A: -$ 67.45.
What is a transaction?
An executed contract between a buyer and a seller to trade goods, services, or financial assets in exchange for money is known as a transaction. The phrase is also frequently used in business accounting. This straightforward definition might be challenging in corporate bookkeeping.
The bank statement of Paula shows the following transactions -
She spent -$ 50.87 on Bill Payment.
She spent $ 59.56 on Check Deposit.
She spent $ 35.09 on Interest Payment.
She spent -$ 67.45 on Online Purchase.
It can be seen that Paula's transaction with largest magnitude or largest sum of money is on Check Deposit which is $ 59.56.
The second highest transaction of Paula is on Interest Payment which is $ 35.09.
The third highest transaction of Paula is on Bill Payment which is -$ 50.87.
The least amount of transaction done by Paula is on Online Purchase which is -$ 67.45.
Therefore, the transaction of -$ 67.45 is the lowest.
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Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
Find X. Please help.
Answer:
22.62°
Step-by-step explanation:
tan x = 5/12
tan x = 0.416666667
x = arctan(0.416666667)
x = 22.61986983
x = 22.62°
Will Give Brainliest Please Answer Quick
Answer:
Option (2)
Step-by-step explanation:
If a perpendicular is drawn from the center of a circle to a chord, perpendicular divides the chord in two equal segments.
By using this property,
Segment MN passing through the center Q will be perpendicular to chords HI ans GJ.
By applying Pythagoras theorem in right triangle KNJ,
(KJ)² = (KN)² + (NJ)²
(33)² = (6√10)² + (NJ)²
NJ = \(\sqrt{1089-360}\)
NJ = \(\sqrt{729}\)
= 27 units
Since, GJ = 2(NJ)
GJ = 2 × 27
GJ = 54 units
Option (2) will be the answer.
50 Points! Multiple choice algebra question. One factor of x^3+4x^2-11x-30=0 is x+2. Find the remaining factors. Photo attached. Thank you!
The solution to the above algebra question is (b) x-3, x+5.
What is the explanation for the above response?To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.
We set up the synthetic division table as follows, using -2 as the divisor:
-2 | 1 4 -11 -30
|____-2__-4___30
| 1 2 -15 0
The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:
x^2 + 2x - 15 = (x - 3)(x + 5)
Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.
The correct answer is (b) x-3, x+5.
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Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n
Answer:
8(4 - n)
Step-by-step explanation:
Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n
Do it one piece at a time.
“eight times the difference of four and a number”: n
“eight times the difference of four and a number”: 4 - n
“eight times the difference of four and a number”: 8(4 - n)
Answer:
the answer is b
Step-by-step explanation:
17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.
Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Write an equation of the line passing through the point (4, 2) that is perpendicular to the line 4x + 3y = 7
Answer:
can you be my new master?
Step-by-step explanation:
PLS I NEED ASAP
WHICH GRAPH REPRESENTS AN EVEN FUNCTION?
Answer:
its the first one hope it helps <3
The table below shows the number of students who are signed up for Algebra 2 and/or Chemistry next year. Find P(Algebra 2 ∩ Not Chemistry).
The probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.
According to question:To find P(Algebra 2 ∩ Not Chemistry), we need to look at the number of students who are signed up for Algebra 2 but not Chemistry. From the table, we can see that there are 260 students who are signed up for Algebra 2 and not Chemistry.
P(Algebra 2 ∩ Not Chemistry) = number of students signed up for Algebra 2 and not Chemistry / total number of students
= 260 / 480
= 0.54
Therefore, the probability of a student being signed up for Algebra 2 but not Chemistry is 0.54 or 54%.
So the answer is 0.54.
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What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
In a video game, a player can choose a character from 9 animal characters and 5 human characters. Players can let the computer randomly select a character for them. What is the probability the computer will pick an animal character if it is allowed to choose? Enter your answer as a fraction in simplest form in the boxes
Since the fraction 9/14 is already in simplest form, the probability of the computer picking an animal character is 9/14.
To find the probability of the computer picking an animal character, we need to determine the total number of characters and the number of animal characters.
Given:
Number of animal characters: 9
Number of human characters: 5
The total number of characters is the sum of the animal and human characters:
Total number of characters = Number of animal characters + Number of human characters
Total number of characters = 9 + 5
Total number of characters = 14
Now, to calculate the probability, we divide the number of animal characters by the total number of characters:
Probability of picking an animal character = Number of animal characters / Total number of characters
Probability of picking an animal character = 9 / 14
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I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY
Q5 is 115. Hope this helps! :) ✨
I can't see the numbers on Q6 sorry :((
What is 8.7x0.45 if you multiply it
The solution to the multiplication of the decimals is; 39.15
How to multiply decimals?One of the ways to multiply decimals is as follows;
To multiply decimals, first multiply as if there is no decimal.
Second step is to count the number of digits after the decimal in each factor.
Last step is to put the same number of digits behind the decimal in the product.
Now, we want to multiply the decimals given as;
8.7 × 0.45
Converting them to fractions gives us;
(87/10) × (45/10)
= 3915/100
= 39.15
Thus, that is the solution to the multiplication of the decimals.
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Sandra is renting a car. She will pay a flat fee of $100 and she will also pay for each mile driven over 200 miles. The total amount she can expect to pay, in dollars can be represented by the function f(x) = 1.5x + 100, where x is the number of miles driven over 200. What is the inverse of this function? F-BF.4c
Group of answer choices
Answer:
The inverse of a function is the reflection of a function over the line y=x. Therefore, this will reflect the function over the line of symmetry.
As the line of symmetry in this case is the x-axis, the inverse function can be found by switching the x and y values.
So we have f(x) = 1.5x + 100, and the inverse function is therefore y=1.5x+100
Please let me know if this helps. :)
MPG (miles per gallon) Formula:
Example Problem: Abdullah drove 1800 miles on 50 gallons of
gasoline. Find his gas mileage, rounded to the nearest whole
number, mpg.
PLEASE HELP
Answer:
36 mpg
Step-by-step explanation:
the gas mileage= 1800/50 = 36 mpg
Solve the differential equation dy/dx=(1+y²)e^x ?
This is a separable differential equation, which means we can separate the variables y and x on either side of the equation. To do this, we'll move all the terms involving y to one side and all the terms involving x to the other side.
dy/dx = (1+y²)e^x
We'll divide both sides by (1+y²)e^x:
dy/(1+y²)e^x = dx
Now we'll integrate both sides with respect to their respective variables. The integral of dy/(1+y²) with respect to y is the inverse tangent (tan^-1) function, so we'll use that on the left side:
∫ dy/(1+y²) = ∫dx + C
tan^-1(y) = x + C
On the right side, we'll integrate e^x with respect to x, which gives us e^x. So we have:
tan^-1(y) = e^x + C
We can solve for y by reversing the tan^-1 function:
y = tan(e^x + C)
Where C is an arbitrary constant of integration.
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Andrew's fish tank measures
24 inches long, 10.5 inches
wide, and 13 inches high. What
is the volume of the fish tank?
MONS
15 volume of the fish tank
How do I factor this?
Answer:
12x(x + 1)²
General Formulas and Concepts:
Alg I
FactoringStep-by-step explanation:
Step 1: Define expression
12x³ + 24x² + 12x
Step 2: Simplify
Factor GCF: 12(x³ + 2x² + x)Factor GCF: 12x(x² + 2x + 1)Factor trinomial: 12x(x + 1)(x + 1)Rewrite: 12x(x + 1)²A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.
3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.
2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.
1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.
Adding these amounts together, we get:
3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
To the nearest cup, this is equal to 7 cups.
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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Oh yeah
Step by step, please
Step-by-step explanation:
still can't see the table with the values in it.
Find f′(x)
1. f(x) = x + 2
2. f(x) =2/x2
f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.
So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.
To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.
Applying the power rule, we differentiate each term separately:
f'(x) = d/dx (x^1) + d/dx (2)
The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.
The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.
Therefore, f'(x) = 1 + 0 = 1.
So, the derivative of f(x) = x + 2 is f'(x) = 1.
To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).
In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).
Applying the power rule and the constant multiple rule, we differentiate each term separately:
f'(x) = d/dx (2 * x^(-2))
Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.
Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.
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is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city.
Answer:
C. 6 nights in Washington, 4 nights in Atlanta, and 12 nights in Dallas
Step-by-step explanation: