8. Two competing companies are having sales on projectors. Projector #MD375 has a retail price of $1,200. The Office Spot is advertising #MD375 for 20% off, while Office & Beyond has stated they will match any competitor’s advertised special and take an additional 15% off of the competitor’s advertised price. How much money is saved by purchasing the projector from Office & Beyond instead of the Office Spot?A. $96B. $144C. $384D. $420

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

4x^2 + 19x - 63

Step-by-step explanation:

3(x-3) = 3x - 9

x + 3x - 9 (x + 7)

(4x -9)(x + 7) = 4x(x) + 4x(7) - 9x - 9(7)

4x^2 + 19x - 63

Answer:

14

Step-by-step explanation:

3*4=12

3*7=21

Diff= 21-12

Diff= 9

Plus 5=9+5

The number is 14

Answer:

The distance would be 6.7 or 3✓5

Step-by-step explanation:

Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.

First things first we can use the equation

d=✓(X2-X1)*2+(Y2-Y1)*2

X2= 8

X1= 5

Y2= 13

Y1= 7

From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.

From here you square the 3 to get 9. You also do the same to the right side of the equation.

Now you have d=✓(3)*2 + (6)*2

From here you square it and you get d=✓9+36

Now we have: d✓45

Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!

Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)

Answer:

the distance would be 6.7

Step-by-step explanation:

Answer:

2(3.14(4)^2)

100.48

answer: 100.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

888+88+8+8+8 is the real answer.

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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In order to prove that c œa; b is indeed a subspace, we need to prove the continuous functions.

To prove the continuous function we proceed in following manner:

1. The zero function is a continuous function: This means that for all x in the domain of the function, f(x) = 0. This is a necessary condition for a set to be a subspace.

2. The sum of two continuous functions is also a continuous function: This means that if f(x) and g(x) are continuous functions, then f(x) + g(x) is also a continuous function. This is necessary because a subspace must be closed under addition.

3. The product of a continuous function and a scalar is also a continuous function: This means that if f(x) is a continuous function and c is a scalar, then c*f(x) is also a continuous function. This is necessary because a subspace must be closed under scalar multiplication.

By proving these three facts, we can demonstrate that c œa; b is indeed a subspace as claimed. These facts are usually discussed in a calculus class, and are important concepts to understand when working with continuous functions.

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Answer:1.-40

2.Ig

Step-by-step explanation:

Answer:

ight bet

Step-by-step explanation:

1+1=4

Answer:

Step-by-step explanation:

To find the local maxima and minima, we need to take the first derivative of the function and set it equal to zero.

f(x) = x - 2 sinx

f'(x) = 1 - 2 cosx

Setting f'(x) = 0, we get:

1 - 2 cosx = 0

cosx = 1/2

x = π/3, 5π/3

Now we need to check the second derivative to determine if these are local maxima or minima.

f''(x) = 2 sinx

f''(π/3) = √3 > 0

Therefore, x = π/3 is a local minimum.

f''(5π/3) = -√3 < 0

Therefore, x = 5π/3 is a local maximum.

So, the answer is:

Local Minima: π/3

Local Maxima: 5π/3

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Answer:  B. 12

Step-by-step explanation:

f(x) = 3x2 – 7x + 2

f(- 1) = ?

f(-1)=3(-1)^2-7(-1)+2

     =3(1)+7+2

     =3+7+2

      =12

After 1 minute they'll have the same no. of rows cleaned.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let the no. of minutes be denoted by 'm'.

Given, Band Booster Club has already cleaned 2 rows of bleachers and will continue to clean at a rate of 10 rows per minute which is,

10x + 2.

The leadership class has completed 11 rows and will continue working at 1 row per minute which is,

x + 11.

∴  The point where they have cleaned the same number of rows is,

10x + 2 = x + 11.

9x = 9.

x = 1 minute.

So, After 1 minute they'll have the same no. of rows cleaned.

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If you have poor credit, it is likely that you will be offered a higher APR on a purchase or balance transfer.

This is because lenders typically view borrowers with poor credit as a higher risk and therefore charge higher interest rates to compensate for this risk. The specific APR that you will be offered will depend on the lender and the terms of the loan or credit card.APR, or annual percentage rate, is the interest rate that a lender charges on a loan. It is expressed as a percentage of the principal loan amount and is based on the length of the loan and the lender's risk assessment of the borrower.

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To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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The assumption that the probability distribution of the random error term is binomial is incorrect .The distribution is binomial

The assumption that the probability distribution of the random error term is binomial is incorrect.

While binomial distributions are used to model a number of phenomena, they are not typically used to represent random errors in a regression model. The random errors in a regression model are usually assumed to follow a normal distribution with a mean of 0 and a constant variance. This assumption implies that the errors are independent from one value of y to the next, and that any errors are symmetrically distributed around 0.

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The standard deviation will be 6816.9645.

From the information given, the mean is 74000 and X is given as 60000.

P[(Z < (-60000 - 74000)/SD] = 0.02

Note that 0.02 will be -2.0537 under the normal distribution table.

-14000/SD = -2.0537

SD = -14000/-2.0537

SD = 6816.9645

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A scalene form of a triangle, based on the measurements provided.

In an obtuse triangle with different-length sides, the longest side goes as follows: longest side^2>otherside + otherside

20^2 > 8^2+12^2

400>64 + 144

400 > 208.

An unusually formed triangle called a scalene triangle has sides that are also irregularly sized. Angle sum property states that the angles of a scalene triangle must always sum to 180 degrees.

For each of its three sides and each of its three angles, a scalene triangle has a variable length, making it a unique triangle. But all interior angles add up to 180 degrees in total.

The name "scalene" is connected to the Greek term "skalenos," which described a triangle with odd sides.

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Complete question : What kind of a triangle will be formed if the sides measure 12 cm, 8 cm

and 20 cm?

Answer:

7

Step-by-step explanation:

f(-3)

f(x) = -4x-5

f(-3) = -4(-3) - 5

f(-3) = 12 - 5

f(-3) = 7

Answer:

Step-by-step explanation:

If 3⁄4 gallons of water come out of a hose in 15 minutes, to calculate the rate of water that comes out in an hour (60 minutes), we will use the expression;

3/4 gallons = 15 minutes

x gallons = 60minutes

cross multiply

15x = 3/4 * 60

15x = 180/4

15x = 45

x = 45/15

x = 3/1

x = 3:1

Hence the water rate in gallons per hour is 3 gallons per hour

Answer:

y = -7 and x = -3

Step-by-step explanation:

Substitute x for y + 4 in the first equation and solve for y

4(y+4) - 2y = 2

4y + 16 - 2y = 2

16 + 2y = 2

2y = -14

y = -7

Then in order to find x, substitute y for -7 in the second equation

x = -7 + 4

x = -3

Answer:

x= -3, y= -7

Step-by-step explanation:

substitute x=y+4 in the first equation

4 (y+4) -2y =2 distribute

4y+16-2y=2 subtract both sides by 16

4y-2y=2-16 combine like terms

2y= -14 divide both sides by 2

y=-7

x=y+4 substitute y=-7

x= -7+4

x= -3

Answer:

2 paunds is the answer this is simple math broski

The cost of the tabletop is $251.10. Option C

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

From the diagram shown, we have;

The width = 6 3/4 feet = 27/4 feet

The length = 3 feet

Substitute the values

Area = 27/4 × 3

Multiply

Area = 20. 25 square feet

But;

1 square foot = $12.40

Then  20. 25 square feet = x

x = $251. 10

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The domain of the given function problem is: 0 ≤ h ≤ 12

The domain of a function is defined as the set of all possible input values for which the function exists.

Meanwhile, the range of a function is defined as the set of all possible output for the possible domain values.

We are given the function as:

L(h) = 42 - 3.5h

where h is the number of hours after opening for the day.

L(h) is the number of loaves of bread remaining in a restaurant h hours after opening for the day

Thus, maximum that can be left is 0.

Thus:

Max domain:

42 - 3.5h = 0

3.5h = 42

h = 12

Thus, domain is:

0 ≤ h ≤ 12

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Complete question is:

The number of loaves of bread remaining in a restaurant h hours after opening for the day can be modeled by this function.

L(h) = 42 - 3.5h

What is the domain of the function?

Siddhu's actual roll number is 660.

First, let's break down the information we have:

- Arsha's roll number is 616.
- The digits at the ones place and tens place of the sum of place values of 6 in Arsha's number need to be exchanged to find Siddhu's roll number.

Step 1: Determine the place values of the digit 6 in Arsha's roll number (616):
- The first 6 is in the hundreds place (600).
- The second 6 is in the ones place (6).

Step 2: Add the place values of the two 6s:
- 600 + 6 = 606.

Step 3: Exchange the digits at the ones place and tens place of the sum:
- The ones place digit is 6, and the tens place digit is 0.
- Exchanging these digits gives us the number 660.

Therefore, Siddhu's actual roll number is 660.

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The function represented by the f(x) =\(2(\frac{1}{2})^x\) is an exponential decay function

The function is  

f(x) =\(2(\frac{1}{2})^x\)

The function is defined as the expression that represents the relationship between one variable and another variable.

The function is in the form of

f(x) = a × \(b^x\)

Such functions are called exponential function

Here  

The value of a = 2

The value of b = 1/2

If the value of b > 1, the function is called exponential growth function.

If the value of b < 1, the function is called exponential decay function.

Here b < 1

Therefore it is exponential decay function

Hence, the function represented by the f(x) =\(2(\frac{1}{2})^x\) is an exponential decay function

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The triangles formed by the diagonals of the parallelogram are congruent by ASA, segments are therefore congruent and we get;

The segments \(\overline{AE}\) = \(\overline{CE}\), and \(\overline{BE}\) = \(\overline{DE}\) by definition

A parallelogram is a quadrilateral that have facing parallel sides.

The completed two column table to prove that the diagonals of a parallelogram bisect each other can be presented as follows;

Statements \({}\)                           Reasons

1. ABCD is a parallelogram \({}\)                      1. Given

2. ∠ABE and ∠CDE are alt. int angles\({}\)     2. Definition

3. ∠BAE and ∠DCE are alt. int angles\({}\)     3. Definition

4. ∠BCE and ∠DAE are alt. int angles\({}\)     4. Definition

5. ∠CBE and ∠ADE are alt. int angles\({}\)     5. Definition

6. \(\overline{AD}\) ≅ \(\overline{BC}\), \(\overline{AB}\) ≅ \(\overline{CD}\)                          \({}\)  6. Properties of a parallelogram

7. ΔBAE ≅ ΔDCE\({}\)                                       7. SAS congruence postulate

8. \(\overline{BE}\) ≅ \(\overline{DE}\), \(\overline{AE}\) ≅ \(\overline{CE}\)               \({}\)              8. CPCTC

9. \(\overline{AE}\) = \(\overline{CE}\) and \(\overline{BE}\) ≅ \(\overline{DE}\)                      \({}\) 9. Definition of congruence

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Answer:

6 degrees high/-10 degrees low

Step-by-step explanation:

Answer: P = $ 12000

r = 14%

t = 1 (for first year)

I = (P X r X t)/100

∴ I = (12000 X 14 X 1)/100

   = 120 X 14

   = $ 1680   <---------- (Interest on loan at the end of first year)

∴ Total amount owing at the end of first year = (P + I)

                                                                          = (12000 + 1680)

                                                                          =  $ 13680

Repayment = $ 7800

Amount still outstanding (at the start of second year) = 13680 - 7800

                                                                                       =  $ 5880

Interest on the outstanding amount at the end of second year,

P (new) = $ 5880

r (same) = 14%

t = 1 (for the current second year)

∴ I = (P X r X t)/100

   = (5880 X 14 X 1)/100

   = 82320 / 100

   = $ 823.2   <-------------------------- (Interest on outstanding amount at the end of second year)