5x + 15 = 75

State your answer as a decimal, not a fraction.

Answer:

1. CA is defined

2. B^T * C^T defined

3. AC is NOT defined

4. A - B is defined

5. B - C is NOT defined

6. B^T is defined

Hence, 1,2,4, and 6 are defined

Step-by-step explanation:

Order of the matrices:

Matrix A is a (4 × 6) matrix  

Matrix B is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

To determine which are defined

1. CA

CA means product of Matrix C and Matrix A

To determine the product of two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. For example, given that matrix X is a (m × n) matrix, matrix Y is a (n × k) matrix and matrix Z is (k × n) matrix. From the definition above,

XY can be determined because number of columns in X equals number of rows in Y

XZ cannot be determine  because number of columns in X is not equal to the number of rows in Z.

YZ can be determined because number of columns in Y equals number of rows in Z

(NOTE: A matrix of order (m × n) means the matrix has m rows and n columns)

Hence, for CA

Matrix C is a (7 × 4) matrix

Matrix A is a (4 × 6) matrix

Number of columns in C equals number of rows in A, hence CA is defined

2. B^T * C^T

B^T means transpose of matrix B

Transpose of a matrix is defined as a new matrix whose rows are the same as the columns of the original matrix and whose columns are the rows of the original matrix. Hence, for a matrix of order (m × k), the transpose of the matrix will have an order (k × m).

Hence,

Matrix B is a (4 × 6) matrix

∴B^T gives a matrix of order (6 × 4)

Matrix C is a (7 × 4) matrix

∴ C^T gives a matrix of order (4 × 7)

Since the number of columns in B^T equals the number of rows in C^T, then  B^T * C^T defined

3. AC

Matrix A is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

The number of columns in A is NOT equal to the number of rows in C, hence AC is NOT defined

4. A - B

To find the difference between two matrices, the matrices must have the same order.

Matrix A is a (4 × 6) matrix  

Matrix B is a (4 × 6) matrix

Since matrices A and B have the same order [(4 × 6)], hence A - B is defined

5. B - C

Matrix B is a (4 × 6) matrix

Matrix C is a (7 × 4) matrix

Since matrices B and C are of different orders [(4 × 6) and (7 × 4) respectively], then B - C is NOT defined

6. B^T

B^T means the transpose of matrix B

Matrix B is a (4 × 6) matrix

From the above definition

B^T gives a (6 × 4) matrix

Hence, B^T is defined

Answer:

0.77777778

Step-by-step explanation:

...

Hi there!

~

[tex]\frac{7}{9} = 0.77777778[/tex]

Hope this helped you!

Answer:

4

Step-by-step explanation:

Answer:

Well you can't simplify the question anymore so I believe the question is the answer

Step-by-step explanation:

There is no equal sign so it can't be simplified anymore because it says 12i you can't combined 12i with -5 because of the variable

Answer:

1/2

Step-by-step explanation:

One cup is 1.

Half of a cup in decimals is 0.5, and in fraction 1/2

Answer:

it would be 1/2

1/2 a cup

Answer:

10 + x = -13

Step-by-step explanation:

The sum of 10 and x is -13.

10 + x = -13

Answer:

6.009 = (6 x 1) . (0/10) + (0/100) + (9/1000)

Step-by-step explanation:

Answer:

6301.

Step-by-step explanation:

First we find the integer such that ? / 9 = 700.

? = 700 * 9 = 6300.

Therefore the least whole number for ? / 9 > 700 should be 6301.

Answer:

Both of them are the same measure: 45 degrees.

Step-by-step explanation:

You plug in 15 for the xin both of the equations they give.

3(15) +17=45

75-2(15)=45

Answer:

A

Step-by-step explanation:

because no square root in in 12

Answer:

[tex]\sqrt{12}[/tex]

If a square root is not a perfect square, then it is an irrational number

[tex]ANSWER =\\\sqrt{12} \\\\=2\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You want to prove

[tex]\displaystyle\lim_{x\to1}\frac{4+2x}3=2[/tex]

By the definition of the limit, this means that for any [tex]\varepsilon>0[/tex], we can find [tex]\delta>0[/tex] such that

[tex]|x-1|<\delta\implies\left|\dfrac{4+2x}3-2\right|<\varepsilon[/tex].

In order to get the inequality we want, we need to have

[tex]\left|\dfrac{4+2x}3-2\right|=\left|\dfrac{2x-2}3\right|=\dfrac23|x-1|<\varepsilon\implies|x-1|<\dfrac{3\varepsilon}2[/tex]

so we can pick [tex]\delta=\frac{3\varepsilon}2[/tex].

So here's the proof: Let [tex]\varepsilon>0[/tex] be given, and let [tex]\delta=\frac{3\varepsilon}2[/tex]. Then

[tex]|x-1|<\delta=\dfrac{3\varepsilon}2[/tex]

[tex]\implies\dfrac23|x-1|<\varepsilon[/tex]

[tex]\implies\left|\dfrac{2x-2}3\right|=\left|\dfrac{2x+4}3-1\right|<\varepsilon[/tex]

as required.

Answer:

The difference in energy production in kilowatt hours of monthly energy produced between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is approximately 9 kWh

Step-by-step explanation:

We note that the energy produced is given by the formula;

Energy = 1/2 × m × v²

From which we have the energy per unit mass = 1/2 × v²

The energy produced by the wind traveling at 15 miles per hour is given as follows;

15 mph = 6.705 m/s

The energy per unit mass produced in a month of 30 days is therefore;

1/2×6.705²×60×60×24×30 = 58264304.4 J/kg

We note that 1 Kilowatt hour = 3.6 × 10⁶ Joules

Therefore;

58264304.4 J = 58264304.4 J/(3.6 × 10⁶) kWh = 16.184529 kWh

The energy produced by the wind traveling at 10 miles per hour is given as follows;

10 mph = 4.47 m/s

The energy per unit mass produced in a month of 30 days is therefore;

1/2×4.47²×60×60×24×30 = 25,895,246.4 J/kg

We note that 1 Kilowatt hour = 3.6 × 10⁶ Joules

Therefore;

25,895,246.4  J = 25,895,246.4 J/(3.6 × 10⁶) kWh = 7.193124 kWh

The difference in energy production in kilowatt hours of monthly energy produced between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour is therefore;

16.184529 kWh - 7.193124 kWh = 8.991405 kWh. ≈ 9 kWh

Answer:

Inductive reasoning

Step-by-step explanation:

Inductive reasoning is when you make a false assumption based on previous knowledge you had before. The previous fact will often be referring to just a certain amount/set of things.

Deductive reasoning is when you have previous knowledge and you make a claim that is correct based on the knowledge before. The previous fact will often be referring to a whole set of things, not limited to a certain number.

The fact here is that Carrie's first three children were boys. This doesn't necessarily mean all of her upcoming children will be boys. So this is inductive reasoning.

Hope this helped!

Answer:

inductive

Step-by-step explanation:

Inductive

Answer:

larger number=29;smaller number=18

Step-by-step explanation:

let assume the two numbers are X and Y

where X is the larger number and Y is the smaller number.

From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;

X=2Y - 7→→→→→→ equation 1

Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;

X + Y = 47→→→→→→ equation 2

Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.

collecting like terms we have

2Y + Y = 47 + 7

solving arithmetically we have;

3Y = 54

divide both sides by 3 we have;

Y = 18.

Now if you recall from equation 1;

X = 2Y - 7;

since we now know Y as 18 we substitute Y as 18 in equation one then we have;

X = 2(18) - 7;

X =36 - 7

X = 29.

Answer:

3 * (7 + n)

Step-by-step explanation:

Three times - '3 *'

The sum of a number and 7 -  '(7 + n)'

"Three times the sum of a number and 7” would be '3 * (7 + n)'.

Hope this helps.

The required equation is 3*(n + 7).

It is required to find the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be n.

The sum of a number and 7 is  n + 7

Three times the sum of a number and 7 is

3*(n + 7).

Therefore, the required equation is 3*(n + 7).

Learn more about equation here:

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Answer:

5.55 million cells per microliter

4.68 million cells per microliter

Step-by-step explanation:

First, use a chart or calculator to find the z-score for reach percentage.

P(Z > z) = 0.24

P(Z < z) = 1 − 0.24 = 0.76

z = 0.706

Next, use definition of z-score to find the value.

z = (x − μ) / σ

0.706 = (x − 5.2) / 0.5

x = 5.55

Repeat for the other percentage.

P(Z < z) = 0.15

z = -1.036

z = (x − μ) / σ

-1.036 = (x − 5.2) / 0.5

x = 4.68

Answer:

4

Step-by-step explanation:

Answer:

0 will be answer as shown in image

Answer:8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Step-by-step explanation:

8810 m, 8.9 km, 8901 m, 8.821 km,  8812 m, 8.8 km

which mean

8810 m, 8900 m, 8901 m, 8821 m, 8812 m, 8800 m

arrange accordingly

8800 km, 8810 m, 8812 m, 8821 m, 8900 m, 8901 m

convert back

8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Answer:

8.8km , 8810m , 8812m , 8.821km , 8.9km , 8901m

Step-by-step explanation:

1km = 1000m

Convert values in km to m by multiplying them by 1000

8.8km × 1000 = 8800m

8.821km × 1000 = 8821m

8.9km × 1000 = 8900m

Answer:

B = 31.467 °

Step-by-step explanation:

Sides:

a = 13 cm

b = 9 cm

c = 17 cm

Angles:

A = 48.939 °

B = 31.467 °

C = 99.5941 °

Other:

P = 39 cm

s = 19.5 cm

K = 57.6818 cm2

r = 2.95804 cm

R = 8.62057 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Formula: SSS is Side, Side, Side

Given the sizes of the 3 sides, you can calculate the sizes of all 3 angles in the triangle.  Use The Law of Cosines to solve for the angles.  You could also use the Sum of Angles Rule to find the final angle once you know 2 of them.

Answer:

Hey There! Here's Ur Answer

Step-by-step explanation:

one at their standard length of 45-3/4 inches, the other two inches shorter.

Happy to Help!

Answer:

the fully simplified expression is: [tex]-7y^2+7x-8[/tex]

Step-by-step explanation:

The like terms are:

-6 and -2, which combined give -8

and 6 x and x, which combine give 7 x

So the simplified form of this is:

[tex]-7y^2+7x-8[/tex]

Answer:

The answer is 5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

I hope this helps!!;-)

where is figure????????????????????

6√3 is the value of y...

The questions asks us to simplify the fraction 34%, first convert that into a decimal which would be .34, then change that as a fraction which would be [tex]\frac{17}{50}[/tex]

Answer:

brainliest plssssss

Step-by-step explanation:

answer is in the img below

Answer:

I believe it is the vertex, of an angle.

Step-by-step explanation:

It is the vertex, because that is what you would call the bottom point of an angle.

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. A point lies in the interior of an angle if it lies between the rays that form the angle.

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.

An angle has two rays and the area that lies between the two rays is known as the interior of the angle, while the area that is not between the two rays is the exterior of the angle.

Therefore, A point lies in the interior of an angle if it lies between the rays that form the angle.

Learn more about Angle:

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Answer:

The limitation for the resonable range restricts it to postive ral numbers

Step-by-step explanation: