For two matrices to be equal, they must have?
the same size and both must be diagonal matrices.
both must be square matrices.
have equal corresponding elements.
have opposite corresponding elements.

Answer:

46

Step-by-step explanation:

[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]

Answer:

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Step-by-step explanation:

We need to find the derivative [tex]r'(t)[/tex] of the vector function :

[tex]r(t)=(tsin(6t),t^{2},tcos(7t))[/tex]

In order to find [tex]r'(t)[/tex], we are going to differentiate each of its components ⇒

We can write the following ⇒

[tex]r(t)=(f(t),g(t),h(t))=(tsin(6t),t^{2},tcos(7t))[/tex] ⇒

[tex]f(t)=tsin(6t)\\g(t)=t^{2}\\h(t)=tcos(7t)[/tex]

Let's differentiate each function to obtain [tex]r'(t)[/tex] :

[tex]f(t)=tsin(6t)[/tex] ⇒ [tex]f'(t)=1.sin(6t)+t.cos(6t).6=sin(6t)+6tcos(6t)[/tex] ⇒

[tex]f'(t)=sin(6t)+6tcos(6t)[/tex]

Now with [tex]g(t)[/tex] :

[tex]g(t)=t^{2}[/tex] ⇒

[tex]g'(t)=2t[/tex]

With [tex]h(t)[/tex] :

[tex]h(t)=tcos(7t)[/tex] ⇒ [tex]h'(t)=1.cos(7t)+t[-sin(7t)].7[/tex] ⇒

[tex]h'(t)=cos(7t)-7tsin(7t)[/tex]

Finally we need to complete [tex]r'(t)=(f'(t),g'(t),h'(t))[/tex] with its components :

[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]

Answer:

2x(3y-4x)

Step-by-step explanation:

Answer:

16X-6XY

Step-by-step explanation:

8X2=16X -6XY

Answer:

x=-2

Step-by-step explanation:

First, Distribute the 2 into the parenthesis.

2(3x+8)=4

6x+16=4

Simplify

6x+16=4

    -16  -16

6x/6= -12/6

x= -2

Hope this helps!

Answer:

3 1/2 inches

Answer:

the first one is 2.3

Step-by-step explanation:

Given :

An infinite series :

[tex]a_1=26[/tex]

[tex]r=\dfrac{1}{2}[/tex]

To Find :

The sum of the infinite series .

Solution :

The sum of infinite series of G.P is given by :

[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .

Answer:

the answer is its either 1/15 or 5/3=1 2/3

Step-by-step explanation:

Answer:

19/6 or 3 and 1/6

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

[tex] |ML| = \sqrt{( {4 + 2})^{2} +( {0 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {3}^{2} } \\ = \sqrt{36 + 9} \: \: \\ = \sqrt{45 } \: \: \: \: \: \: \: \: \: \: \\ = 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 6.7082039[/tex]

We have the final answer as

Hope this helps you

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help too

Answer:

no, that is not an infinite solution

Step-by-step explanation:

an infinite solution is where a number equals a number and where x gets crossed out. the answer listed here is a solution :)

Answer:

(-0.75, -3.25) and (4.125, -2.125)

Step-by-step explanation:

Let the town, Thayer = point A(-4, -4)

Town Purdy = point D(9, -1).

Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.

Distance of point B from A to D = ⅓ of AD.

Point C = the midpoint of point B and D.

First, using the formula for internal division, let's find the coordinates of point B:

Internal division to find the coordinates of point B is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -4) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values into the formula stated above to solve for x and y of point B:

[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]

[tex] x = \frac{9 - 12}{4} [/tex]

[tex] x = \frac{-3}{4} [/tex]

[tex] x = -\frac{-3}{4} = 0.75 [/tex]

[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]

[tex] y = \frac{-1 - 12}{1 + 3} [/tex]

[tex] y = \frac{-13}{4} [/tex]

[tex] y = -3.25 [/tex]

The coordinates of point B = (-0.75, -3.25)

Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.

Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1)  is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

Thus:

[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]

[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]

[tex] C(4.125, -2.125) [/tex]

The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.

Answer:

$437.74

Step-by-step explanation:

16 x 44 = 704 -150=554 x 0.08= 554-44.32= 509.68 x 0.07= 509.68 - 35.6776 = 474 x 0.0765 = 474 - 36.261 = 437.74

Answer:

$ 394.54

Step-by-step explanation:

Sarah makes $16 and hour. She works 44 hours this week.

Optional deductions are

- $50 for health insurance and

- $100 for child care.

- Federal  taxes are 8%

- State taxes are 7% and

- FICA is 7.65%.

What is Sarah's NET  pay?

salary for a week: $16 x 44 =                   $704

deductions:

- health insurance and                             - $50

- child care.                                               - $100

- Federal  taxes are 8%  = 0.08 (704) =   - $53.32

- State taxes are 7% 0.07 (704)          =   - $49.28

- FICA is 7.65% = 0.0765 (704)          =    -$53.86

                                                                ---------------

                                                  total = $ 394.54  (net pay)

Answer:

0.00009 is the answer.

Step-by-step explanation:

The decimal would be 9. if 9 was a decimal, since -6 is your exponent you would move 6 places to the left with left being negative and right being positive, therefore you would get 0.00009.

The required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The given expression,
9 times 10 Superscript negative 5  = 9 × 10⁻⁵
= 9 / 10⁵
= 9 / 100000
= 0.00009

Thus, the required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ6

Answer:

x = 1/6

Step-by-step explanation:

"solve for x" would be better and clearer than "please answer."

We start the solution by subtracing 3x from both sides, obtaining

4 = 6x + 3

and then isolate the 3x term by subtracting 3 rom both sides:

6x = 1

Finally we divide both sides of this result by 6, obtaining

x = 1/6     This is the "answer" to the problem "solve 3x + 4 = 9x + 3 for x."

Answer:

There Is No Value For The Digit 0

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(17-9)x (3x2) /3

(17-9) = 8

(3x2) = 6

(8)(6)/3

(8x6) = 48

48/3 = 16

16 is your answer

Answer:

Hi there!

Your answer is;

There were 94 big hats and 282 small hats sold!

Step-by-step explanation:

Big hats= b

Small hats= 3b

3b+ b = 376

4b = 376

/4

b= 94

3(94) = 282

Double check!

94+282= 376

Answer:

Hi there

Your answer is:

13i

Step-by-step explanation:

Find the square root of √-169

We do i as coefficient to get rid of negatives

√169 is 13

Hope this helps

Answer:

x=172

Step-by-step explanation:

I hope this helps you

Answer:

8.5

Step-by-step explanation:

Answer:

you got it

a supplermentery angle forms a half circle

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]\frac{7^{4} }{7^{-3} }[/tex] = [tex]7^{4-(-3)}[/tex]

His mistake was in subtracting 3 rather than - 3

Andre's mistake was that he was not subtracting the power correctly.

The given expression is,

[tex]\frac{7^4}{7^{-3}}[/tex]

As we know according to the exponent law:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Now, applying the above law into the given expression we get,

[tex]\frac{7^4}{7^{-3}}=7^{4-(-3)}\\ =7^{4+3}\\=7^7[/tex]

Hence, Andre's mistake was that he was not subtracting the power correctly.

Learn More about the topic Exponents:

https://brainly.com/question/24736882

Answer:

801

Step-by-step explanation:

When we distribute the 9, we simply multiply:

9 · 89 = 801

Answer:

$-118

Step-by-step explanation:

She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.