x-70081:671= help i dont understand​

The subtraction of Matrix B from Matrix A is represented as:

[tex]\[A - B = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]

Given Matrix:

[tex]\[ A = \begin{bmatrix}3 & -1 \\2 & 0 \\-3 & 3\end{bmatrix} \][/tex]  and  [tex]\[ B = \begin{bmatrix}3 & 3 \\-5 & 4 \\-4 & 2\end{bmatrix} \][/tex]

To find the result of subtracting Matrix B from Matrix A,

subtract the corresponding elements of the matrices.

Here is the subtraction result

[tex]\[A - B = \begin{bmatrix}3 - 3 & (-1) - 3 \\2 - (-5) & 0 - 4 \\(-3) - (-4) & 3 - 2\end{bmatrix} = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]

Therefore, the subtraction of matrices is:

[tex]\[A - B = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]

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The total value of the investment after 20 years with continuous compounding is $2,917.76.

Given information:

P = principal = $1000.

R = 5.5%

t = 20 years.

First, convert R as a percent to 'r' as a decimal

r = R/100

r = 5.5/100

r = 0.055 rates per year,

Then solve the equation for A:

The total value of the investment can be calculated using the formula:

A = P(1 + r/n[tex])^{nt}[/tex]

A = 1,000.00(1 + 0.055/1[tex])^{(1)(20)}[/tex]

A = 1,000.00(1 + 0.055[tex])^{(20)}[/tex]

A = $2,917.76

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 5.5% per year compounded 1 time per year over 20 years is $2,917.76.

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Answer:

153.86 = π(r^2)

r = √(153.86/π) = 6.998 = 7 inches

d = 2r = 14 inches

Answer:

Diameter of pizza = 14 inches

Step-by-step explanation:

Pizza is shaped like a circle

If the radius of the pizza is r, the area which is the area of a circle of radius r is given by

[tex]A = \pi r^2[/tex]

Here we are given the area as 153.86 in²

153.86 = π · r²

r² = 153.86 /π

r = √( 153.86 /π )

 = 6.998 in

 ≈ 7 inches

Diameter = 2 x radius

               = 14 inches

The coordinates of the vertex of the parabola is (-4, 4)

From the question, we have the following parameters that can be used in our computation:

The parabola

The coordinates of the vertex of the parabola is the maximum or the minimum point of the parabola

In this case, it is a maximum and the point is (-4, 4)

Hence, the solution is (-4, 4)

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The angles that can be obtained by trigonometry are shown below.

The Greek words "trigonon" (triangle) and "metron" are the origins of the word "trigonometry" (measure). Trigonometry is the study of triangles, specifically the lengths of their sides and the sizes of the angles that connect them.

1) Cos 32 = x/14

x = 14 Cos 32

= 11.9

2) Sin 54 = 22/x

x = 22/Sin 54

x = 27.2

3) Tan 75 = 17/x

x = 17/Tan 75

x = 4.6

4) Cos 43 = 31/x

x = 31/Cos 43

x = 42.4

5) Tan x = 9/12

x = Tan-1(9/12)

x = 36.9

6) Sin x = 11/35

x = Sin-1 (11/35)

x = 18.3

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Answer:

Area of sector = (π/4)(7^2)

= 49π/4 square kilometers

= 38.5 square kilometers

Length of arc = (2π)(7)/4

= 7π/2 kilometers

= 11.0 kilometers

There are 6,840 ways to award the prizes to the first three cars completing the race.

Since there are 20 cars within the race and the arrangement in which they wrap up is critical, a permutation equation can be utilized to decide the number of ways prizes are granted.

 There are his 20 ways to determine the winner of the first prize (because any of the 20 cars could be first).

He has 19 ways to determine the runner-up (because he has 19 cars left to be runner-up).

There are 18 ways to determine the 3rd place winner (because he has 18 cars left that could be 3rd place).

Using the multiplication principle, the total number of ways to award prizes is:

20 x 19 x 18 = 6,840

So there are 6,840 ways to award prizes to the top 3 cars that finish the race. 

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The measure of angle x, y and z is 85⁰, 45⁰ and 40⁰ respectively.

The measure of angle x, y and z is calculated by applying intersecting chord theorem as shown below;

Angle y is calculated as follows;

10⁰ = ¹/₂ (arc EA - AN )

10 = ¹/₂ (65 - y )

20 = 65 - y

y = 65 - 20

y = 45⁰

The value of arc angle x is calculated as follows;

165 + 65 + 45 + x = 360 (sum of angles in a circle)

275 + x = 360

x = 360 - 275

x = 85⁰

The value of angle z is calculated as follows;

z = ¹/₂ (arc GE - GN )

z = ¹/₂ (165 - 85)

z = 40⁰

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Step-by-step explanation:

sqrt (20) / sqrt(12)   =   sqrt(20*12) / 12 = 4 sqrt (15) / 12

   = sqrt (15) / 3  = 1.290994

The formula for the amount of radioactive phosphorus remaining after "t" days is A = 9 × [tex](0.95)^t[/tex]

Radioactive decay is a process by which the nucleus of an unstable atom emits radiation in the form of particles or energy in order to reach a more stable state. In the case of radioactive phosphorus, the nucleus decays by emitting beta particles, which leads to a decrease in the number of radioactive atoms over time.

The amount of radioactive phosphorus remaining after "t" days can be calculated using the formula

A = A₀ ×  [tex](0.95)^t[/tex]

Where

A0 = initial amount of radioactive phosphorus (9 grams in this case)

A = amount of radioactive phosphorus remaining after "t" days

t = number of days

So, substituting the given values in the formula, we get

A = 9 ×  [tex](0.95)^t[/tex]

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To graph the line that passes through the coordinates (2, 3), (3, 4.5), (4, 6), and (6, 9), we can use the slope-intercept form of the equation of a line, which is y = mx + b.

To start, we can find the slope of the line using any two points on the line. Let's use the first and last points:

slope = (change in y) / (change in x) slope = (9 - 3) / (6 - 2) slope = 1.5

Now we can choose any of the four given points and plug in the slope to find the y-intercept, b. Let's use the second point:

4.5 = 1.5(3) + b b = 0.75

So the equation of the line is:

y = 1.5x + 0.75

To graph the line, we can plot the four given points and then connect them with a straight line. Alternatively, we can choose any two values of x and plug them into the equation of the line to find the corresponding values of y, and then plot the resulting points.

THIS LINE DOES PASS THROUGH THE ORIGIN

it is

NOT

proportional because the line passes through the origin

therefore the correct answer is:

A.

Answer:

[tex] {.2}^{4} = .0016[/tex]

Answer:

Step-by-step explanation:

0.2^4 is

0.2 x 0.2 x 0.2 x 0.2  =

0.04 x 0.04 =

0.0016

Answer:Y=-5/3x+3

y=1/3x-3

Step-by-step explanation:i don't know i searched the web

Spores forming bacteria include Clostridium botulinum, Clostridium perfringes and Bacillus cereus and when a food is frozen, it slows down bacteria activity.

2. Spore-forming bacteria include Bacillus (aerobic) and Clostridium (anaerobic) species. These species produce spores that are dormant bodies and take the genetic material present in the vegetative form, but do not have an active metabolism. They are very resistant against heat, dryness, and other negative ambient conditions than the vegetative form, and are used for survival during dryness. When the environmental conditions is conducive, spores germinate to vegetative Bacillus or Clostridium cells.

In the given question, the spore forming organisms are Clostridium botulinum, Clostridium perfringes and Bacillus cereus

3. What happens when a food is frozen?

When food is frozen, it does not kill the bacteria but rather slows down their reproductive activity and so, the amount of time it can be kept is extended compared to refrigeration.

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Answer:

First, we need to find the radius of the cylinder. We know that:

V = πr^2h

And we are given that V = 1,130.97 cubic inches. We also know that a cylinder is symmetrical, which means that the height of the cylinder is equal to the diameter of the circle. In other words, h = 2r.

Therefore, we can rewrite the formula as:

V = πr^2(2r)

1,130.97 = πr^3

r^3 = 359.82

r = 7.12 inches (rounded to two decimal places)

Now we need to find the amount of space on either side of the cylinder. We know that the pedestal is 18 inches across, so the total width is 18 inches. If we want an even amount of space on either side, we need to subtract the diameter of the cylinder from the width of the pedestal, and then divide the result by two.

Diameter = 2r = 2(7.12) = 14.24 inches

Space on either side = (18 - 14.24)/2 = 1.88 inches (rounded to two decimal places)

Therefore, if Consuela places the cylinder on a pedestal that is 18 inches across, there will be 1.88 inches of space on either side.

To calculate the total cost of shingling the roof, we first find the total square footage of the roof, which is 300 sq.ft. We then multiply this by the cost per square foot of the shingles, $2.13, to get a total cost of $639.

The first step is to calculate the total square footage of the roof. The given half measurement is 15ft by 10ft, so in-order to get square footage we multiply these two numbers (length * width). 15ft * 10ft = 150sq.ft. Since this is only half of the roof, we then multiply by 2 to get the total roof area. So, 150sq.ft * 2 = 300sq.ft.

The next step is to find the total cost. If the cost of 1 sq.ft. of shingles is $2.13, we just multiply the total area by the cost per square foot.  So, 300sq.ft. * $2.13/sq.ft = $639.

Therefore, it will cost $639 to shingle the entire roof.

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The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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The depth of the swimming pool s 8 feet

From the question, we have the following parameters that can be used in our computation:

This means that

Depth = Volume/(length * width)

substitute the known values in the above equation, so, we have the following representation

Depth = 2000/(25 * 10)

Evaluate

Depth = 8

Hence, the depth is 8 feet

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Answer:

54

Step-by-step explanation:

the first one is the only one I know from the top off my head I'll try and send it to you. but the first one is 53

Step-by-step explanation:

[tex] \frac{r - p}{7} = s \\ cross \: multiply \\ 7s = r - p \\ \: \: move \: the \: variable \: to \: the \: \\ right \\ - p = 7s - r \\ change \: the \: signs \\ p = - 7s + r \\ p = r - 7s[/tex]

Answer:

p= -7S+r

Step-by-step explanation:

p=-7S+r ( gotta write at least 20 characters)

The arc measure is 110° and the measures in the quadrilateral are x° is 46° and y° is 163°

We have to find the measure of arc x°

We know that the Arcs can be measured in degrees.

The degree of an arc is equal to the measure of the central arc that creates the arc

The central arc measures 110°

So x° = 110°

The complete measure of the quadrilateral is 360 degrees

As x° is equal to 46°

x° =46°

Now let us find y°

46°+46°+105°+y°=360

y°=360-197

y°=163°

Hence, the arc measure is 110° and the measures in the quadrilateral are x° is 46° and y° is 163°

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Based on the survey data, we can conclude that a higher proportion of teenagers own an iPod or MP3 player compared to young adults.

To determine if the difference is significant, we need to conduct a hypothesis test. We can begin by stating the null hypothesis as "there is no significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

We can also state the alternative hypothesis as "there is a significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

Next, we need to determine the test statistic and calculate the p-value to determine if the difference in the proportions is statistically significant. Assuming that the data follows a normal distribution, we can use a two-sample z-test to test our hypothesis.

Using a significance level of 0.05, we find that the test statistic is 3.07, and the p-value is 0.002. Since the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is convincing evidence of a difference in the proportions of all teens and young adults who would say they own an iPod or MP3 player.

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The angles which are equivalent to sin [tex]\theta[/tex] = √2/2 are,

Given sin [tex]\theta\\[/tex] =  √2/2 the theta value is equal to 45° which is present in the first quadrant.

To find out equivalent theta values, we will find out all 45° equivalent values in each quadrant.

From the above analysis, the equivalent angles are 45°, 225°, 135° and 315°. So, the option A is correct.

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The given question is missing options. The complete question is,

Select all angle measures for which sin theta= -sqrt2/2

A) 45°, 225°, 135°, and 315°

B) 45°, 225°, 280° and 325°

C)60°, 90°, 225° and 135°

D)75°, 135°, 250° and 315°

Answer:

Step-by-step explanation:

Of= x

So, we do 5x2+1

= 11/2= 5 1/2 then we start multiplying

11x2=22

2x3=6

so then that's 22/6

next, we divide 22 by 6

6 goes into 22 3 times remainder of

4

so its 3 4/6

In simplified form its 3 2/3

Answer:

y-intercept = (0,0)

x-intercepts (0,0), (-2, 0)

Step-by-step explanation:

For y-intercept

If you think about a graph, when does the graph intercept/hit y.   What is your value for x.   Your y-intercept is usually (0, y)   So in order to find the y-intercept you need to plug in x=0 to find y.

Equation:

y=16x²+32x       substitute x=0

y=16(0)²+32(0)

y=0

y-intercept = (0,0)

For x-intercept

When you have an x intercept it looks like (x, 0), so you must solve for x when y=0

Because this is a quadratic equation(parabola), you will get 2 x-intercepts.

y=16x²+32x

0=16x²+32x      > In order to solver for x, you must factor but in this case

                            you can take out the greatest common factor (GCF) =16x

0=16x(x +2)       >Typically when you factor you get 2 parentheses and set

                            each parenthesis equal to 0, but instead we've pulled

                            an x on the outside.  When there is an x outside you set

                            the outside equal to 0 as well as the parenthesis to

                            solve for x.

16x = 0                 (x+2)=0

x=0                           x= -2

x-intercepts (0,0), (-2, 0)