Answer:
Because he thought it would make him stand out.
if quick i will give brainlyist
Sandra files folders for her job. According to the graph, how many minutes will it take her to file 100 folders?
A. 10
B. 80
C. 90
D. 100
Answer:
A its 10
Step-by-step explanation:
Solve for y. 3y - 2x = 9
5 times 5 plus 36 equals
Answer:
61
Step-by-step explanation:
5•5+36
(5)(5)+36
=25+36
=61
Find X in the given figures.
which set dose - 4/9 belong A integers B whole numbers C natural numbers D rational numbers
Answer:
-4/9 is a rational number
Step-by-step explanation:
Rational numbers are the numbers you can make by dividing one integer by another, so in other words a fraction.
Answer
4/9 belongs to rational numbers (D).
Explanation
(Lol moderator deleted everyone's answers so I'm gonna answer).
First I'll give you a definition of each choice.
Integers: Integers don't include decimals or fractions. Integers are positive and negative numbers. So basically it's this; (..., -3, -2, -1, 0, 1, 2, 3, ...). The '...' means numbers from infinity to the next number. I hope this makes sense Imao.
Whole numbers: whole numbers are integers, except they don't include negative numbers. Whole numbers include 0 (zero)... (0, 1, 2, 3, ...)
Natural numbers: natural numbers are whole numbers but they don't include 0 (zero)... (1, 2, 3, ...)
Rational numbers: rational numbers are numbers that can be expressed as a fraction. This includes repeating decimals such as 0.333 repeating. Rational numbers also include integers, because if you put the number over one, that is a fraction. Rational numbers are basically every number except for the radicals of some numbers (such as the square root of 3) and pi.
So now let's just see which one 4/9 is.
Well, 4/9 is not an integer, whole number, or natural number because it is a fraction.
But 4/9 can be expressed as a fraction (well, it already is one) meaning it is a rational number.
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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WILL GIVE BRAINLIEST TO FIRST PERSON WHO ACTUALLY TRIES!!!
What is the length of the unknown leg of the right triangle rounded to the nearest tenth of a foot?
Answer:
Around 8.8
Step-by-step explanation:
This problem requires the Pythagorean Theorem. We are given the hypotenuse and a leg, so we can plug in what we know.
\({x^2+2^2}=9^2 \\{4+x^2}=81 \\x^2=77\\\sqrt{x^2}=77\\x=\sqrt{77}\\x=8.8, approximately\)
13: Mr.Jones has 34 3 4 cup of fertilizer. He will use a 18 1 8 cup measuring scoop to pour all of the fertilizer onto his plants. How many times will Mr. Jones fill the measuring scoop with fertilizer
Answer:
1,120/580 equals to 56/29 or 1 27/29
Step-by-step explanation:
Make these fraction into improper fractions
Then divide 140/4 by 145/8
if point AG= 9 3/4 and point EG= 4 1/4, what is AE
The value of AE is 5 1/2.
What is the difference of two fractions?If a/b and c/d are two fractions, then their difference is
a/b - c/d = (ad - bc)/bd.
Given
AG = 9 3/4,
EG = 4 1/4.
Relation between lengths
The point E lies on the line. So, we have the relation that the sum of AE and EG equals total length of the segment AG -
AE + EG = AG. ...( 1 )
Find EG
Put the given values in the equation ( 1 ),
AE + 4 1/4 = 9 3/4
⇒ AE = 9 3/4 - 4 1/4
= (9 + 3/4) - (4 + 1/4)
= 9 - 4 + (3/4 - 1/4)
= 5 + 2/4 = 5 + 1/2
⇒ AE = 5 1/2.
The required value of AE is 5 1/2.
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Find the perimeter of ABC
Answer:
hey mate pls attach the photo....can't understand
5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the direction and speed of the boat.
Answer:
Direction of the boat is 43.05° and the speed is 21.66 knot
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat = \(\sqrt{Vx^{2} + Vy^{2} }\)
==> \(\sqrt{15.83^{2} + 14.79^{2} }\) = 21.66 knot
direction of boat = \(tan^{-1} \frac{Vy}{Vx}\)
==> \(tan^{-1} \frac{14.79}{15.83}\) = 43.05°
Find the final value and the compound interest if $8000 is invested for 2 years at 27% p.a.
Answer:
$8000 / 2 = $4000 x 27 = $108000
Step-by-step explanation: i divided 8000 /2 then multiplied 27 to = 108000 I hope this helps
1. Lori used her new credit card to book airplane tickets online to visit her sister in Scotland. The flights cost a total of $562. Her credit card has a promotional offer of 0% interest for 4 months. After this period, the rate is 19.7%, compounded daily. a. If Lori pays $75 per month, how long will it take her to pay off the balance? b. How much interest will she pay? c. If the credit card did not have a promotional offer, how much more interest would she have to pay?
If the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.
a. To determine how long it will take Lori to pay off the balance, we need to calculate the number of months it will take for the total balance to reach zero.
Let's assume it takes n months for Lori to pay off the balance. Each month, Lori pays $75 towards the balance. Since there is no interest during the promotional period, the balance decreases by $75 each month.
The initial balance is $562, so the remaining balance after n months can be represented as:
Remaining balance = Initial balance - (Monthly payment * Number of months)
0 = 562 - (75 * n)
Solving this equation for n:
75n = 562
n = 562 / 75
n ≈ 7.49
Therefore, it will take Lori approximately 7.49 months (or rounded up to 8 months) to pay off the balance.
b. To calculate the total interest paid, we need to subtract the initial balance from the total amount paid over the repayment period. The total amount paid is the monthly payment multiplied by the number of months.
Total interest paid = Total amount paid - Initial balance
Total amount paid = Monthly payment * Number of months
Total interest paid = (Monthly payment * Number of months) - Initial balance
Total interest paid = (75 * 8) - 562
Total interest paid = 600 - 562
Total interest paid = $38
Therefore, Lori will pay a total of $38 in interest.
c. If the credit card did not have a promotional offer, the interest would have been charged at a rate of 19.7% compounded daily after the promotional period.
To calculate the additional interest, we can use the formula for compound interest:
Additional interest = Initial balance * (1 + interest rate)^Number of months - Initial balance
Additional interest = 562 * (1 + 0.197/365)^(30 * 4) - 562
Calculating this value:
Additional interest ≈ $110.58
Therefore, if the credit card did not have a promotional offer, Lori would have had to pay approximately $110.58 more in interest.
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A two digit number is 6 times its singles digit. The sum of the digits is 6. Find the number
I need help please um..yeh
Answer:
John (15) Molly (19) Ross (12) Jill (16)
(PLEASE HELP)
The area of the rectangle shown is 152 square feet.
What is h,the height of the rectangle in feet?
Answer:
H=8
Step-by-step explanation:
152/19=8
George is 6 feet tall and his shadow measured 8 feet long at noon. At the same time, a nearby flagpole cast a 40-foot shadow. What is the height of the flagpole? *
Answer:
42 I think LOL
A civil air patrol unit of 14 members includes three officers. in how many ways can five members be selected for a search and rescue mission such that at least one officer is included.
There are 1540 ways can five members be selected for a search and rescue mission such that at least one officer is included.
What is a combination?
Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.
Formula to calculate combination
ⁿCₓ = n!/x!(n-x)!
Here, we have
The total count of members is 14.
The total number of officers is 3.
So, the count of non-officers will be
14−3 = 11
Now, 5 members are selected including at least one officer. So, the count of officers and non-officers in the team of 5 members is as follows:
(a) 1 officer and 4 non-officers
(b) 2 officers and 3 non-officers
(c) 3 officers and 2 non-officers
To find the ways for each of the three cases above, we use combinations
ⁿCₓ = n!/x!(n-x)!
where
n: is the total count of objects and
x: is the count of selected objects.
Number of ways when 1 officer and 4 non-officers can be selected, we have possible combinations
³C₁ ×¹¹C₄ = 3!/1!(3-1)! × 11!/4!(11-4)!
= 3!/2! × 11!/4!(7)!
= (3 × 2!)/ 2! × (11×10×9×8×7!)/(4! × 7! )
= 3 × (11×10×9×8)/(4×3×2×1)
= 990
Number of ways when 2 officers and 3 non-officers can be selected, we have possible combinations
³C₂ ×¹¹C₃ = 3!/2!(3-2)! × 11!/3!(11-3)!
= 3!/2! × 11!/3!(8)!
= (3 × 2!)/ 2! × (11×10×9×8!)/(3! × 8! )
= 3 × (11×10×9)/(3×2×1)
= 495
Number of ways when 3 officers and 2 non-officers can be selected, we have possible combinations
³C₃ ×¹¹C₂ = 3!/3!(3-3)! × 11!/2!(11-2)!
= 1! × 11!/2!(9)!
= 1 × (11×10×9!)/(2! × 9! )
= 55
The total number of ways when 5 members can be selected including at least one officer is calculated as follows:
³C₁ ×¹¹C₄+ ³C₂ ×¹¹C₃+ ³C₃ ×¹¹C₂ = 990 + 495 +55 = 1540
Hence, there are 1540 ways can five members be selected for a search and rescue mission such that at least one officer is included.
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in exercises 59-62, find the component form of the sum of u and v with direction angles
The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.
We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.
Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:
|u| = 20, θu = 45°
The x-component of u is given by:
ux = |u| cos(θu) = 20 cos(45°) = 10√2
The y-component of u is given by:
uy = |u| sin(θu) = 20 sin(45°) = 10√2
Therefore, the component form of vector u is:
u = 10√2 i + 10√2 j
Similarly, for vector v:
|v| = 50, θv = 180°
The x-component of v is given by:
vx = |v| cos(θv) = -50 cos(180°) = -50
The y-component of v is given by:
vy = |v| sin(θv) = 50 sin(180°) = 0
Therefore, the component form of vector v is:
v = -50 i + 0 j
The component form of the sum of u and v is given by the sum of their x- and y-components:
u + v = (10√2 - 50) i + (10√2 + 0) j
Simplifying, we get:
u + v = (10√2 - 50) i + 10√2 j
Therefore, the component form of the sum of u and v is:
u + v = (10√2 - 50) i + 10√2 j
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The question is -
Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.
| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.
CREATE Write two algebraic expressions
whose quotients are y^7
please help!!!!
Assessment timer and count
Assessment items
Item 15
A floor rug is rectangular in shape. The width of the rug is 3 ft less than its length. The perimeter of the rug is 42 ft.
What are the rug’s dimensions?
Enter your answer by filling in the boxes.
Answer:
its not showing ur question
Step-by-step explanation:
What conclusion can you make about the difference of any two odd integers?
Tell wether the lines for the pair of equations would be parallel, perpendicular, or neither
Y=-3x+9
Y=1/3x-3
Answer:
parallel
Step-by-step explanation:
two lines in two spots but same angle
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
You put $250 into a savings account that earns
3.25% interest compounded quarterly.
Compount interest formula
Answer:
A=P(l +r/n)nt
Step-by-step explanation:
a, final amount
p, initial
r, interest
n, number of interest per period
t, time
find and classify the critical points of z=(x2−8x)(y2−5y) .
The critical points of z=(x2−8x)(y2−5y) are (4, 5/2). Using partial derivative test, the critical points are classified as saddle point.
To find the critical points of z = (x^2 - 8x)(y^2 - 5y), we need to find the values of x and y where the partial derivatives of z with respect to x and y are both equal to zero.
First, let's find the partial derivative of z with respect to x:
∂z/∂x = (2x - 8)(y^2 - 5y)
Setting this equal to zero and solving for x, we get:
2x - 8 = 0
x = 4
Now, let's find the partial derivative of z with respect to y:
∂z/∂y = (x^2 - 8x)(2y - 5)
Setting this equal to zero and solving for y, we get:
2y - 5 = 0
y = 5/2
So the critical point is (4, 5/2).
To classify this critical point, we can use the second partial derivative test. We need to find the values of the second partial derivatives of z with respect to x and y, as well as the mixed partial derivative of z with respect to x and y:
∂^2z/∂x^2 = 2(y^2 - 5y)
∂^2z/∂y^2 = 2(x^2 - 8x)
∂^2z/∂x∂y = 2xy - 18x + 10y - 40
Now, we can evaluate these second partial derivatives at the critical point (4, 5/2):
∂^2z/∂x^2 = 2(-25/4) = -25/2 < 0
∂^2z/∂y^2 = 2(16) = 32 > 0
∂^2z/∂x∂y = 2(4)(5/2) - 18(4) + 10(5/2) - 40 = -44 < 0
Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, we can conclude that the critical point (4, 5/2) is a saddle point.
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Divide the following polynomial, then place the answer in the proper location on the grid. Write your answer in order of descending powers of x.
(x ^3 + y ^3) / (x - y)
The polynomial (x³ + y³) is divided by (x - y) to give [x³ / (x - y) + y³ / (x - y)]
Division of PolynomialPolynomials are algebraic expressions that consist of variables and coefficients. It is written in the following format: 5x² + 6x - 17. This polynomial has three terms that are arranged according to their degree. The term with the highest degree is placed first, followed by the lower ones. Dividing polynomials is an algorithm to solve a rational number that represents a polynomial divided by a monomial or another polynomial. The divisor and the dividend are placed exactly the same way as we do for regular division.
In this problem, we are dividing (x³ + y³) by (x - y)
(x³ + y³) ÷ (x - y) = [x³ / (x - y) + y³ / (x - y)]
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Of the 89 million tons of waste that was recycled 9 percent was metal.How much metal was recycled in million tons
9% of 89
\( \frac{9}{100} \times 89\)
801/100
= 8.01
Use the coordinates of the plotted points to complete the calculation below. Pay
attention to negative signs.
Answer:
A to B for y: -6
A to B for x: 2
Step-by-step explanation:
to figure out y, you subtract the first “y” from the second “y”
0-6= -6
to figure out x, you subtract the first “x” from the second “x”
3-1=2
Apply the method of undetermined coefficients to find a particular solution to the following system. x' = 3x + 2y + 3 et, y' = 2x + 3y - 2 et Xp (t) = 0
The particular solution to the following system is x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D
x' = 3x + 2y + 3\(e^{t}\)
y' = 2x + 3y - 2\(e^{t}\)
The first equation can be written as
(D-3)x - 2y = 3\(e^{t}\)
The second equation can be written as
-2x + (D-3)y = - 2\(e^{t}\)
(D-3)²x - 4x = (D-3)3\(e^{t}\) - 4\(e^{t}\)
(D²+9-6D-4)x = 3\(e^{t}\) - 9\(e^{t}\) - 4\(e^{t}\)
(D²-6D+5)x = - 10\(e^{t}\)
Auxiliary Equation
m²-6m+5=0
(m-5)(m-1)=0
CF = C₁\(e^{5t}\) + C₂\(e^{t}\)
Particular Integral
PI = -10\(e^{t}\)/(D²-6D+5)
= -10\(e^{t}\)/(D-5)(D-1)
= (5/2) \(e^{t}\)/D
x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D
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