⁻x₋5у₊z=17
¬5x-5y+5z=5
2x+5y-z=10

In between 2000 and 90000

Don't use a 2

Answer:

No

Step-by-step explanation:

One angle must be 90 degrees

Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Answer:

im gonna assume the 10 - 20 is what the equation is = to if not x wouldnt be = to anything x = -1.5

Step-by-step explanation:

-2.25x + 8.75x = 10-20

-2.25x+ 8.75x = -10

6.50x = -10 divide both sides by 6.5

x = -1.5

Answer:

(y+b)/a = x

Step-by-step explanation:

y = ax − b

Add b to each side

y+b = ax − b+b

y+b =ax

Divide each side by a

(y+b)/a = ax/a

(y+b)/a = x

Answer:

its d

Step-by-step explanation:

because is you think about it x is y+ba

The number of ways to choose only republicans is 330.                               The number of ways to choose the committee consisting of 1 republican and 6 democrats is 5005.                                                                                       The number of ways to choose the committee consisting of 1 republican and 6 democrats is 55055.                                  

The formula for this is ⁿCm is n!/((n-m)!*m!).

The number of ways to choose only republicans  = ¹¹C₇ = 330

The number of ways to choose one republicans = ¹¹C₁ = 11!/((11–1)!*1!) = 11

The number of ways to choose six democrats is ¹⁵C₆ = 15!/((15–6)!*6!) = 5005.

The number of ways to choose the committee consisting of 1 republican and 6 democrats from 15 Democrats and 11 Republican is :

¹¹C₁ * ¹⁵C₆ = 11!/((11–1)!*1!) * 15!/((15–6)!*6!) = 11 * 5005 = 55055

There are 55055 possible committees consisting of 1 republican and 6 democrats.

The number of ways to choose four republicans = ¹¹C₄ = 11!/((11–4)!*4!) = 330

The number of ways to choose three democrats is ¹⁵C₃ = 15!/((15–3)!*3!) = 455

The number ow ways to choose the committee consisting of 4 republican and 3 democrats from 15 Democrats and 11 Republican is : ¹¹C₄ * ¹⁵C₃ = 330 * 455 = 150150

There are 150150 possible committees consisting of 4 republican and 3 democrats.

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Answer:\(96cm^2\\\)

Step-by-step explanation:

64= \(x^3\\\)

\(\sqrt[3]{64} =4\)

So a side is 4, and surface area of one side is 4x4 = \(16cm^2\)

cude has 6 faces, 16*6 = \(96cm^2\\\)

Answer:

96 cm²

Step-by-step explanation:

If the side of a cube is a, then volume = a³

There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²

Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm

So total surface area = 6 x 4² = 6 x 16 = 96 cm²

Answer:

I think the answer is C.

Answer:

10/7*2/5= 20/35=4/7

Answer:

4/7

Step-by-step explanation:

Step-by-step explanation:

A o option

-(-45)

hope it helps

Answer:

It could be 1 and 18, 2 and 9, 3 and 6

Step-by-step explanation:

It depends on what the width is

Answer:

What shape is the mural?

Step-by-step explanation:

I

To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9

The equation of the parabola is y = -1/3 (\(x^2\)+4x).

What is parabola ?

  A bowl-shaped object forms a curve when the surface of the cone intersects a plane perpendicular to a straight line. Another curve is created when the moving point is moved such that the distance from the fixed point is equal to the distance from the fixed line. A parabola is a U-shaped curve representing the graph of a quadratic function. Graph of the equation y=x2,

Here the equation of the parabola is

=> y= a\(x^2\)+bx+c.

Now pt given points to find value of a, b, c .

=> y = a(x-p)(x-q)

=> y = a(x+2-2)(x+2+2)

=> y = a(x)(x+4)

Here the line passes through the point ,

(x,y) = (-1,1)

=> 1 = a(-1)(-1+4)

=> 1 = a (-3)

=> a = -1/3.

Now the equation is ,

y = a (x)(x+4)

=> y = -1/3 (\(x^2\)+4x)

Therefore the equation of the parabola is y = -1/3 (\(x^2\)+4x).

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

\(333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \: - x = 630 - 801 \\ or \: - x = - 171 \\ x = 171\)

Hope this helps...

Good luck on your assignment...

Answer:

Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

Brand A:

7.97/48 = 0.16604166666 = approx $0.17 per pencil

Branch B:

9/72 = 0.125 = approx $0.13 per pencil

Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

4(x-3)-8=16

4x-12-8=16

4x-20=16

4x-20+20=16+20

add

4x=36

divide both

4x/4  36/4

Simplify

x = 9

To find the length of the curve given by r(t) = cos(7t) i + sin(7t) j + 7 ln(cos(t)) k, 0 ≤ t ≤ π/4, we need to use the formula for arc length:

L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt

In this case, we have:

dx/dt = -7 sin(7t)
dy/dt = 7 cos(7t)
dz/dt = -7 sin(t) / cos(t)

So,

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 sin^2(7t) + 49 cos^2(7t) + 49 sin^2(t) / cos^2(t)
= 49 [sin^2(7t) + cos^2(7t) + sin^2(t) / cos^2(t)]
= 49 [1 + sin^2(t) / cos^2(t)]

Now, using the identity sin^2(t) + cos^2(t) = 1, we can rewrite this as:

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 cos^2(t)

Therefore, the length of the curve is:

L = ∫[0,π/4] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt
= ∫[0,π/4] 7 cos(t) dt
= 7 [sin(t)]|[0,π/4]
= 7 sin(π/4) - 7 sin(0)
= 7 (√2/2)
= 7√2/2

So the length of the curve is 7√2/2.

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Answer:

they are corresponding angles, x=7

Step-by-step explanation:

75=11x-2

77=11x

x=7

Answer:

2

Step-by-step explanation:

change in y ÷ change in x

4÷2=2

Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V and it can be determined by using the rate of interest formula.

Given that,

Dave is considering two loans.

Loan U has a nominal interest rate of 9.97%, and Loan V has a nominal interest rate of 10.16%.

If Loan U is compounded daily and Loan V is compounded quarterly.

We have to determine,

Which loan will have the lower effective interest rate, and how much lower will it be?

According to the question,

The effective interest rate is determined by the formula;

\(= \left(1+\dfrac{r}{t} \right )^t\)

Loan U has a nominal interest rate of 9.97%,

Loan U is compounded daily,

Then,

The effective annual multiplier for loan U is,

\(= \left(1+\dfrac{0.997}{365}\right)^{365}\\\\= (1+0.0027)^{365}\\\\= (1.0027)^{365}\\\\= 1.104824\)

And Loan V has a nominal interest rate of 10.16%,

and Loan V is compounded quarterly.

Then,

\(= \left(1+\dfrac{0.1016}{4}\right)^{4}\\\\= (1+0.0254)^{365}\\\\= (1.0254)^{365}\\\\= 1.105537\)

Therefore,

Loan V has a higher effective rate by,

\(=1.105537 -1.104824 \\\\= 0.000713 \\\\= 0.0713%\)

Hence, Loan U  will have a lower effective interest rate, and 0.0713 lower percentage points lower than Loan V.

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Step-by-step explanation:

I hope you help the ansgyuhfffftt

\(\huge\sf\fbox\red{Question:-}\)

\( {3x}^{2} \: - y ^{3 } - {y}^{3} - z\)

\( \: \: x = 3\)

\(y = - 2\)

\(z = - 5\)

\(\huge\sf\fbox\red{Answer:-}\)

= 3x²-y³-y³-z

= 3×(3)²-(-2)³-(-2)³-(-5)

= 27+8+8+5

= 48

a. The probability that difference in sample proportions is more than 6% is 0.1056.

b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.

a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

P1 = 57% of students are from school A.

p2 = 61% of students are from school B.

Sample sizes from schools A and B were 75 and 80, respectively.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 6% = 0.06

Z = (0.57 - 0.61 - 0.06) / 0.0803

= -1.248

Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.

Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.

b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

57% of the population in p1 is from school A.

61% of those in p2 are from school B.

75 were included in the sample from school A, while 80 were included in the sample from school B.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 5% = 0.05

Z = (0.57 - 0.61 - 0.05) / 0.0803

= -0.621

We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.

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The estimate for the number of cars that are red will be 9450000.

From the information, when Ben sat outside his school in Cambridge and made a note of the colour of the first 100 cars that passed, he found out that 27 of them were red.

Based on the above, the ratio of red cars to total cars is 27:100.

Therefore, if thee are 35 million cars, the red cars will be:

= Ratio of red cars × Total cars

= 27/100 × 3500000

= 9450000

The number of red cards is 9450000.

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You can rent time on computers at the local copy center for 35 minutes with $25.

To find out how much time you can rent for $25 at the local copy center, follow these steps:

1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.

So, you can rent time on computers at the local copy center for 35 minutes with $25.

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Answer:

A) The volume of the cylinder is 1017.9 in³.

B) The volume of the enlarged cylinder is 27,482.7 in³.

Step-by-step explanation:

The radius of the cylinder is r = 6 in and the height is h = 9 in.

The volume of a cylinder can be found using the formula:

Substitute r = 6 and h = 9 into the formula.

The volume of the cylinder is 1017.876 in³.

If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.

Therefore, we need to multiply the original volume by a factor of three cubed; 3³.

The volume of the enlarged cylinder is 27,482.652 in³.

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Nancy's ending balance after two years is $31,930.93. Below, you will learn how to solve the problem.

Plugging in the given values:

A = 4,111(1 + 1.07/12)^(12*2)
A = 4,111(1.089166)^(24)
A = 4,111(7.767)
A = $31,930.93


Therefore, Nancy's ending balance after two years is $31,930.93.

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