Answer should be in Polynomial in standard form.
(x-3)(x-4)

Answer:

the two angles (7x-44)° and (4x+4)° are alternate exterior angles; x = 16

Step-by-step explanation:

\(7x - 44 = 4x + 4\)

\(3x = 48\)

\(x = 16\)

Answer:

13 ocicats

Step-by-step explanation:

Here, we are told that an Ocicat eats 3/5 pounds of food per day.

Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed

What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat

Thus, we have;

19 1/2 divided by 3/5

= 39/5 divided by 3/5

= 39/5 * 5/3

= 13 Ocicats

The required value of x is 125° for the given pentagon.

The external angle of a pentagon is formed by extending one of its sides, and it is supplementary to the adjacent interior angle of the pentagon.

According to the given figure,

We have been given that a pentagon, which has five sides is shown.

As we know that the sum of the external angles of any polygon is always 360 degrees.

So, x° + 40° + 65° + 60° + 70° = 360°

x° + 235° = 360°

x° = 360° - 235°

Apply the subtraction operation, and we get

x = 125°

Therefore, the required value of x is 125°.

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Answer:

The total amount paid is $ 27.5.

Step-by-step explanation:

MAGALI BUY 15 CHOCOLATES AT $ 0.75 EACH ONE, AND 13 PACKAGES OF COOKIES AT $ 1.25 EACH, HOW MUCH SHOULD I PAY?

Number of chocolates = 15

Cost of a chocolate = $ 0.75

Packet of cookies = 13

cost of one packet of cookie = $ 1.25

The total amount paid is

= 15 x $ 0.75 + 13 x $ 1.25

= $ 11.25 + $ 16.25

= $ 27.5

Answer:

x+y=7

y= x+3

Step-by-step explanation:

i just took the test

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,

x + y = 7                ...1

y = x + 3               ...2

From equations 1 and 2, then we have

x + x + 3 = 7

2x = 4

x = 2

Then the value of the variable 'y' will be given as,

y = 2 + 3

y = 5

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

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The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

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To check the periodicity of the given function, formula: x[n]=x[n+N]\sin(11n)=\sin[11(n+N)]11N=2πk where k is an integer. If the signal satisfies the formula, then it is said to be periodic, else it is not periodic.

a) i) To check the periodicity of the given function, apply the formula and substitute the value of k to find the fundamental period. 11N=2πkN=\frac{2πk}{11}The smallest possible value of N is found when k = 11. Therefore, N=\frac{2π}{11} So, the given signal is periodic with fundamental period of frac{2π}{11}.

ii)Given that, x2(t)=cos(\pi t)+sin(0.1\pi t) To check the periodicity of the given function, apply the following formula: x(t)=x(t+T)cos(\pi t)+sin(0.1\pi t)=cos(\pi(t+T))+sin(0.1\pi(t+T)) cos(\pi t)+sin(0.1\pi t) = cos(\pi t+\pi T)+sin(0.1\pi t+0.1\pi T) cos(\pi t)+\sin(0.1\pi t) = -\cos(\pi t)+sin(0.1\pi t+0.1\pi T) 2\cos(\pi t) = sin(0.1\pi t+0.1\pi T)-sin(0.1\pi)Taking the derivative of the above equation and setting it equal to zero, we get: frac{d}{dt}(sin(0.1πt+0.1πT)-sin(0.1πt))=0 Solving for T, we get: T=\frac{2π}{9} So, the given signal is periodic with fundamental period of frac{2π}{9}. ii) In the given question, two signals have been given. The first signal is 1[n]=sin(11n) and the second signal is x2(t)=cos(\pi t)+sin(0.1\pi t). To determine whether the signal is periodic or not, we use the formula of periodicity. If the signal satisfies the formula, then it is said to be periodic, else it is not periodic. If the signal is periodic, we use the formula of fundamental period to calculate the smallest period of the signal. The smallest possible value of N is found when k = 11. Therefore, the fundamental period of the signal is frac{2π}{11}For the second signal, the periodicity formula is applied and then we get the fundamental period as frac{2π}{9}. Therefore, the first signal is periodic with a fundamental period of frac{2π}{11} and the second signal is periodic with a fundamental period of frac{2π}{9}.

b) i) In the given question, the periodicity of two signals was to be determined, and if they were periodic, then we had to find their fundamental periods. The periodicity formula was used to determine whether the signals are periodic or not, and the fundamental period formula was used to calculate their fundamental periods. The first signal is periodic with a fundamental period of frac{2π}{11} and the second signal is periodic with a fundamental period of frac{2π}{9}. ii)Given signal is x3=-u(t+1)+r(t)+r(t-1)-u(t-2) i)The sketch of the waveform of x3(t) is shown below: ii)Given that, y(t)=x3(-t+3)-1 To find the value of y(0), substitute t=0 in y(t) to get:y(0)=x3(-0+3)-1=x3(3)-1=0To find the value of y(1), substitute t=1 in y(t) to get:y(1)=x3(-1+3)-1=x3(2)-1=1To find the value of y(2), substitute t=2 in y(t) to get:y(2)=x3(-2+3)-1=x3(1)-1=2Therefore, y(0)=0, y(1)=1 and y(2)=2.

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The factor listed below that is a possible cause for unfavorable materials quantity variances is A. Using higher quality, but more costly materials than budgeted.

Unfavorable materials quantity variances occur when the actual amount of materials used exceeds the budgeted or standard quantity. Using higher quality materials that are more costly than what was initially budgeted can contribute to such unfavorable variances.

By opting for higher quality materials, the cost per unit may increase, leading to higher material costs compared to the budgeted amount. If the quantity of these higher quality materials used exceeds the expected or standard quantity, it can result in unfavorable materials quantity variances. These variances occur due to the increased costs associated with using more expensive materials and potentially higher scrap or waste rates.

It is important for organizations to monitor and control their material usage to minimize unfavorable variances and ensure efficient utilization of resources while meeting quality standards.

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Answer:

x = 1, x = -7

Step-by-step explanation:

Step 1: Divide both sides by -2.

Step 2: Solve absolute value.

1st Possibility:

2nd possibility:

Therefore, the answer is x = 1, x = -7.

Answer:

0, -6, 4

Step-by-step explanation:

did it

Answer:

11 over 20

Step-by-step explanation:

Answer: 5/20

Step-by-step explanation:

9/20+6/20=15/20

20/20-15/20=5/20

Answer:

pakistani activist for female education

Answer:

those are the right answers

Step-by-step explanation:

for sin90 you have to put sin(90) which is 1, all the other answers r correct (same with my calculator)

The number of different groups of 4 people that a company could send to a job site, which is 27,720.

In the context of this question, a company has 30 people and wants to send 4 people to a job site.

To find out how many different groups of 4 people they could make, we need to use the concept of permutation.

To find the number of permutations, we use the formula nPk, where n is the total number of objects (30 in this case) and k is the number of objects we want to arrange (4 in this case).

So, the number of permutations will be

=> 30P4 = 30!/(30-4)!.

This simplifies to

=> 30!/(26!) = 27,720.

Therefore, the company has 27,720 different groups of 4 people that they could send to a job site. This means that they can send 27,720 different combinations of 4 people from their 30 employees to a job site.

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Answer:2, 6,9, 8

Step-by-step explanation:

Left to right

Answer:

x = -2

Step-by-step explanation:

6x - 8 + 3x -3 = -29

9x = - 18

x = -2

The amount of money Clint will plan to spend to replace the floors is $17404.09

The hardwood floor is rectangular.

Therefore,

area of hallway = 18 × 6 = 108 ft²

area of the kitchen = 20 × 30 = 600 ft²

area of the living room = 25 × 45 = 1125 ft²

area of each bedroom = 12 × 16 = 192 ft²

area of master bedroom = 14 × 20 = 280 ft²

Hence,

cost of flooring per square foot is $5.48

total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56

Cost of installation is $1.49 per square.

total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53

Total  amount to replace the floor = 13683.56 + 3720.53 = $17404.09

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Answer:

60 mph

Step-by-step explanation:

Each way of the trip is 240 miles.

The round trip is 2 × 240 miles = 480 miles

The first half of the trip, 240 miles, was made at a speed of 30 mph.

s = d/t

st = d

t = d/s

t = 240 miles / 30 mph = 8 hours

The first part of the trip took 8 hours.

The entire round trip is 240 miles × 2 = 480 miles

The speed for the entire trip is 40 mph.

480 miles / 40 mph = 12 hours

12 hours - 8 hours = 4 hours

The return trip takes 4 hours.

The return trip is 240 miles.

s = d/t = 240 miles / 4 hours

s = 60 mph

Answer: 60 mph

The T-shirt takes 2.25 seconds to reach its maximum height and the maximum height is approximately 90.125 feet above the court.

The equation for the height of the T-shirt at time t is given as h(t) = -16t² + 72t + 5, where h(t) is the height in feet and t is the time in seconds.

To find the time it takes for the T-shirt to reach its maximum height, we need to find the vertex of the parabolic function. The vertex of a parabola in the form y = ax² + bx + c is given by (-b/2a, c - b²/4a). In this case, a = -16, b = 72, and c = 5. So, the time it takes for the T-shirt to reach its maximum height is:

t = -b/2a = -72/(2(-16)) = 2.25 seconds

To find the maximum height, we need to substitute the value of t we just found into the equation for h(t):

h(2.25) = -16(2.25)² + 72(2.25) + 5 ≈ 90.125 feet

Therefore, the T-shirt takes 2.25 seconds to reach its maximum height and the maximum height is approximately 90.125 feet above the court.

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Answer:

the answer is D hope it hleps

Answer:

Subtract 7 from each side

Divide each side by -2

Step-by-step explanation:

-2b+7 = -13

Subtract 7 from each side

-2b+7 -7= -13-7

-2b = -20

Divide each side by -2

-2b/-2 = -20/-2

b = 1-

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

The correct answer is c. 400 times more likely. The relative difference in error rates indicates that a manual filer is 400 times more likely to make an error compared to an electronic filer.

To determine how much more likely a manual filer is to make an error compared to an electronic filer, we need to calculate the relative difference in error rates between the two methods.

Given:

Manual filer error rate: 20%

Electronic filer error rate: 0.05%

To find the relative difference, we can divide the manual filer error rate by the electronic filer error rate:

Relative difference = (Manual filer error rate) / (Electronic filer error rate)

Relative difference = 20% / 0.05%

Simplifying the calculation:

Relative difference = 400

Therefore, the relative difference in error rates indicates that a manual filer is 400 times more likely to make an error compared to an electronic filer.

The correct answer is c. 400 times more likely.

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The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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Lydia used a total of approximately 16.33 pints of paint to paint her bedroom walls, with 6.2 pints being blue and 10.33 pints being white.

We know that 3/5 of the total paint used is blue, and the remaining 2/5 must be white.

Let x be the total amount of paint used in pints. Then, we can write:

3/5 x = 6.2 (pints of blue paint used)

2/5 x = ? (pints of white paint used)

To solve for the pints of white paint used, we need to isolate the variable x in the second equation:

2/5 x = (2/3) * 3/5 x (multiply both sides by 2/3 to simplify)

2/5 x = 6.2 * 2/3

2/5 x = 4.1333...

Now we can solve for x by multiplying both sides by 5/2:

x = (5/2) * (2/5) x = (5/2) * 4.1333... = 10.3333...

Therefore, Lydia used approximately 10.33 pints of white paint and  6.2 pints of blue to paint her bedroom walls.

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Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

\(a+b=90\)

And we are told their difference is 36. Therefore:

\(a-b=36\)

Solve for the system of equations. Add b to both sides in the second equation:

\(a=b+36\)

Substitute this into the first:

\((b+36)+b=90\)

Combine like terms;

\(2b+36=90\)

Subtract 36:

\(2b=54\)

Divide by 2:

\(b=27\)

So, b is 27 degrees.

Use the second equation again:

\(a-b=36\)

Now that we know b is 27, substitute:

\(a-27=36\)

Add 27 to both sides:

\(a=63\)

So, a is 63 degrees.

And we're done :)

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

Answer:

£9000

Step-by-step explanation:

= £10 000× 5 ×2

100

= 1000

= £10 000-1000

= £9000

Answer:

f(x) = -3x+b

Someone deleted my answer for no reason. I really don't like it when that happens. Anyway, here's the answer again :)

To compute a basis of the eigen space corresponding to eigen value -2, we need to find the null space of the matrix A + 2I, where A is the 3x3 matrix and I is the identity matrix.

The null space will give us the basis vectors of the eigen space

To find the eigen space corresponding to the eigen value -2, we start by constructing the matrix A + 2I, where A is the given 3x3 matrix and I is the 3x3 identity matrix. Next, we solve the homogeneous system of linear equations (A + 2I)x = 0, where x is a vector. The solutions to this system form the null space of the matrix A + 2I.

By finding a basis for this null space, we can obtain the basis vectors of the eigen space corresponding to the eigen value -2.

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