PLEASE HELP ITS IMPORTANT

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\(Answer:\boxed{\text{4 rows and 3 columns}}\)

\(Explanation:\)

A matrix has 4 rows and 3 columns. 4 rows means it has 4 system of equations and 3 columns means 3 variables in the system of equations. 3 columns means like x, y, z.

Hope this helps!

Answer:

3

Step-by-step explanation: e3

Assuming the person's weight and magnitude, we can estimate their weight to be 491N.

A mathematical object's magnitude or size defines whether it is greater or smaller than other items of its kind.

In formal terms, an object's size can be thought of as the outward manifestation of an ordering—of the class of objects to which it belongs.

So, the person's weight will be:

The scale calculates the floor's usual upward force on the passenger.

The most force is produced when going up (when starting an upward trip or ending a downward trip).

The normal force is lowest when there is a downward acceleration.

Regarding any such situation

∑F y​ =ma y changes to +391Nmg = ma for halting and +591Nmg=+ma for starting. (Where a represents the size of the acceleration.)

Add these two simultaneous equations to eliminate a and determine mg:

+591N−mg+391N−mg=0

OR

982N–2mg=0

Fg​ = mg = 982N/2​ = 491N

Therefore, assuming the person's weight and magnitude, we can estimate their weight to be 491N.

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Complete question:

A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591N. As the elevator later stops, the scale reading is 391N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine the weight of the person.

Answer:

m∠2 = 104°

m∠3 = 76°

m∠4 =  104°

Step-by-step explanation:

∠1 and ∠3 are vertical angles

That means they are of the same value.

∠2 and∠4 are also vertical angles and we can find the value like this:

Sum of all angles = 360°

Total value of found angles = 152°

Number of angles need to be found = 2x (note: this is 2x because both angles are the same)

Equation = 360 - 152 = 2x

208 = 2x

x = 208/2

x = 104

So angle m∠4 = 104°

and m∠2 = 104°

general equation of a population is

where a is the initial population and b the percent of growing

then replacing a=6 and b=12

and simplify

Answer:

y-9=-6(x-1)

Step-by-step explanation:

Answer:

these is the answer ;)

Answer:

19$

Step-by-step explanation:

16 + 10 = 26 + 5 = 31

he wins 50

50 - 31 = 19

He's left with 19 dollars out of 50 after he pays everyone back .

Answer:

D) 19

Step-by-step explanation:

Add 5+10+16=31

Subtract 50-31=19

Answer:

B

Step-by-step explanation:

Segment XZ bisects segment AC

To find the standard deviation of the data summarized in the given frequency distribution, we can perform the following calculations. The table provides the necessary calculations for the standard deviation of the data summarized in the given frequency distribution:

Waiting time (minutes) Number of customer Midpoint (x) of Class Boundary of Class

f(x) 0-39 (0+3)/2=1.5 -0.5, 3.5+1.5 (9) (1.5) (9) = 13.5

4-7 16(4+7)/2=5.5 -3.5, 7.5+3.5 (16) (5.5) (16) = 88.0

8-11 15(8+11)/2=9.5 -7.5, 11.5+7.5 (15) (9.5) (15) = 213.75

12-15 8(12+15)/2=13.5 -11.5, 15.5+11.5 (8) (13.5) (8) = 91.875

16-20 2(16+20)/2=18 -16, 20+16 (2) (18) (2) = 92

Sum 60 (363.2)

Mean = Sum of (f(x)) / Sum of (f) = 363.2 / 60 = 6.0533

The variance, σ², can be calculated using the formula [Sum of (f(x²)) - {Sum of (f(x))² / Sum of (f)}] / (Sum of (f) - 1). Plugging in the values, we get:

σ² = [1103.2 - {363.2² / 60}] / (60 - 1) = 104.36

The standard deviation, σ, can be calculated using the formula √σ². Hence, the standard deviation of the data summarized in the given frequency distribution is approximately 10.2 minutes.

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Answer:

475 ft

Step-by-step explanation:

\(\frac{x}{25}\) = \(\frac{38}{2}\)

cross multiply

2x = 950

x = 475

The height of the building is 475 ft.

In similar triangles, corresponding sides are always in the same ratio.

Given that, a triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow.

The triangles are forming similar triangles,

Let the height of the building be x

Therefore, x/25 = 38/2

x = 475

Hence, The height of the building is 475 ft.

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Answer:

6

Step-by-step explanation:

Your intervals are x=-2, and x=0. In this case, x=-2 will be a, and x=0 will be b.

To find the average rate of change, you have to first find f(-2) and f(0)

\(f(-2)=1-3(-2)^2\\f(-2)=1-3(4)\\f(-2)=-11\\\)

Then, f(0)

\(f(0)= 1-3(0)^2\\f(0) = 1-3(0)\\f(0) = 1\)

Now you know f(-2) is -11, and f(0) is 1.

Next, you plug these into the average rate of change formula, which is

\(\frac{f(b)-f(a)}{b-a}\)

Flug in -11 and 1 on the numerator, and -2 and 0 on the denominator.

\(Average = \frac{(1)-(-11)}{(0)-(-2)} \\\\\)

\(Average =\frac{12}{2} \\Average = 6\)

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Step-by-step explanation:

rect 1 with length and width as x and y

rect 2 with length and width as kx and ky

a) they are similar because kx/x = ky/y =k

sides are in a proportion,angles are obviously equal to 90°

b) perimeter of rect 1 = 2(x+y)

perimeter of rect 2 = 2(kx+ky)

(2k(x+y))/(2(x+y))= k

c) area of rect 1 = x*y

area of rect 2 = kx*ky = k^2*x*y

area 2/area 1 = k^2

hence the proof

wax question

volume of wax cube which are melted = 4^3= 64

volume of square pyramid = a^2 *(h/3)

a = area of base = 81

v = 81*10/3= 810/3= 270

no of wax cubes required = 270/64 = 4.24 cubes

Answer:

7 = 6

Step-by-step explanation:

\( \frac{5}{6} + \frac{3}{2} = 2\)

\( \frac{5 + 9}{6} = \frac{14}{6} = \frac{7}{3} \)

\( \frac{7}{ 3} = 2 \\ = \frac{7}{3} = \frac{2}{1} \\ = 7 \times 1 = 2 \times 3 \\ 7 = 2 \times 3 \\ 7 = 6\)

\( = 7 = 6\)

The total width of the crystal as calculated from the given data is 0.001512 mm.

The spacing as given is 14.4 nm ,

on converting it into meters we get,

= 14.4 * 10^(-9) m

As we know,

1 mm = 1 * 10^(-3) m

Therefore,

14.4 nm * 105 = 1,512 nm

= 1.512 micrometers

= 0.001512 mm

or we can say that ,

1.512 * 10^(-3) mm

Therefore, the total width of crystal as calculated  is 0.001512 mm.

A crystal which is also known as a crystalline solid, is a solid material in which the constituents are atoms, molecules, or ions, they are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.

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Answer:

282.74in

Step-by-step explanation:

Answer:

2b+ 9

Step-by-step explanation:

(7−b)+(3b+2)

We can solve this pretty quickly using the order of operations:

P: Parentheses

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

P: Parentheses. There is nothing to simplify inside the parentheses, so we can get rid of them

=7−b+3b+2

There are no exponents, multiplication, or division so we can skip those.

Addition/Subtraction will occur if we simply add or subtract like terms. First, it may be helpful to combine like terms so that they are next to each other:

=7+2+3b−b

=9+2b or  2b+9

Answer:

Chemical Change-

\(~~~~~~ \stackrel{\textit{\LARGE Monica}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3.3\%\to \frac{3.3}{100}\dotfill &0.033\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (100)(0.033)(1) \implies I = 3.3 \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{\textit{\LARGE Paul}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 2.1\%\to \frac{2.1}{100}\dotfill &0.021\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.021)(1) \implies I = 4.2\)

well, Monica needs to check more closely what was in that last cup of coffee she drank, she's hallucinating.

95%

Explanation: 19 x 5

The exact volume of the cylinder is 1,846.32 cubic inches

Cylinder:

Radius, r = 7 in

Height, h = 12 in

Cone:

Radius, r = 7 in

Height, h = 12 in

Volume of a cylinder = πr²h

= 3.14 × 7² × 12

= 3.14 × 49 × 12

= 1,846.32 cubic inches

Volume of a cone = 1/3πr²h

= 1/3 × 3.14 × 7² × 12

= 1/3 × 3.14 × 49 × 12

= 1,846.32/3

= 615.44 cubic inches

Hence, the approximate volume of the cone to the nearest tenth is 615.4 cubic inches

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Answer:

Answer:

x= −1/2 y+7

Step-by-step explanation:

Let's solve for x.

2x+y=14

Step 1: Add -y to both sides.

2x+y+−y=14+−y

2x=−y+14

Step 2: Divide both sides by 2.

2x

2

=

−y+14

2

x=

−1

2

y+7

Answer: with multiplicity 5.

Step-by-step explanation:

The area of the trapezoid is 30x + 42. Option C

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

A = 1/2h(b1+b2)

Such that the parameters are enumerated as;

Now, substitute the values, we get;

Area = 1/2 × 12(2x + 3 + 3x + 4)

collect the like terms, we have;

Area = 6(5x + 7)

Expand the bracket, we get;

Area = 30x + 42

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Answer:

29°F

Step-by-step explanation:

20 - (-9)= 20 + 9

= 29°F

As a result, the following calculation can be used to determine c, the game's price before taxes , and c has a value of 59.95.

A mathematical assertion that demonstrates the equality of two statements is called an equation. Mathematical operations like addition, subtraction, multiplication, and division may be used, and it typically includes one or more variables. Example: The equation 3x + 5 = 14 demonstrates that the product of three times the x and five is equivalent to fourteen. Find the number of x that causes the equation to hold true in order to solve the equation.

given

Let's write c for the video game's price before taxes.

We are aware that the entire cost of the video game, with taxes included, is $63.43. Additionally, we are aware that the fee is $3.48.

We can therefore construct the following equation:

c + 3.48 = 63.43

We can take 3.48 away from both sides and separate c on one side as follows:

c + 3.48 - 3.48 = 63.43 - 3.48

c = 59.95

As a result, the following calculation can be used to determine c, the game's price before taxes , and c has a value of 59.95.

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Answer:

Doin it for the bag!!

The required distance must be equal to 3.2 miles between the school and the park.

Given that,
Dawn maps out several locations in her town, with distances and angles between them. Two triangles are formed within the map. To conclude that these triangles are congruent by SAS Congruence Postulate,

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
As both, the triangle is congruent by SAS Congruence Postulate,
The distance between the park and school in the congruent grocery stores and hospital
So,
The distance between the park and the school  ≅ 3.2 miles

Thus, the required distance must be equal to 3.2 miles between the school and the park.

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Answer: The monthly interest rate is 1.67%.

Step-by-step explanation: To find the monthly interest rate, we need to divide the yearly interest rate by the number of months in a year. Since there are 12 months in a year, we can divide the yearly interest rate by 12 to get the monthly interest rate.

The monthly interest rate can be calculated as:

Monthly interest rate = Yearly interest rate / 12

In this case, the yearly interest rate is 20%. So, the monthly interest rate can be calculated as:

Monthly interest rate = 20% / 12 = 1.67%

Therefore, the monthly interest rate is 1.67%.