PLEASE HELP - System of equations matrix prepresents

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Work Shown:

i = p*r*t

85 = 2000*r*0.5

85 = 1000r

1000r = 85

r = 85/1000

r = 0.085

The APR is 8.5%

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Side note: I used t = 0.5 since 6 months = 6/12 = 1/2 = 0.5 years

Answer:

Step-by-step explanation:

[tex]7- \sqrt[3]{2-x} =12[/tex]

we have to just keep in mind to do the same operation to both sides of the equal sign

[tex]7-7- \sqrt[3]{2-x} =12-7[/tex] ; subtract 7 from both sides

[tex]- \sqrt[3]{2-x} = 5[/tex] ; multiply both sides by -1

[tex]\sqrt[3]{2-x} = -5[/tex] ; raise both sides to the power 3

2-x = (-5)³

2-x = -125 ; subtract 2 from both sides

-x = -125-2

-x =-127; multiply both sides by -1

x= 127

Answer:

a

Step-by-step explanation:

answer

Yes, the triangles are congruent according to the figure.

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Given that are two triangles, we need to check whether they congruent or not,

So, we are given,

BC = EF

AC = DF

∠ A = ∠ D = 90°

Therefore.

Δ ABC ≅ Δ DEF by SSA rule

since, the triangles are congruent by SSA rule,  

Hence, the given statement is true.

Learn more about congruent triangles click;

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

$1.50

»»————-　★　————-««  

Here’s why:  

Assuming that the cake has one slice per person (16 slices):

⸻⸻⸻⸻

[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]

⸻⸻⸻⸻

Each slice should cost $1.50.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: The given statement is true.

Step-by-step explanation:

Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.

There are some rules to detect the significant figures in a number:

Rule applied when numbers are added or subtracted:

The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.

Hence, the given statement is true.

Answer:

12x+19

Step-by-step explanation:

First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get  19. You then combine your two answers to get 12x+19.

Answer:

12x + 19

Step-by-step explanation:

Add the exponents and then add the numbers.

9514 1404 393

Answer:

  136

Step-by-step explanation:

The x-value at one end of the beam will be where f(x) = 0.

  0 = -x²/272 +17

  x² = 17(272) = 4624

  x = ±√4624 = ±68

The beam extends from x=-68 to x=68, so has a width of ...

  68 -(-68) = 136

__

Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.

Answer: i dont understand

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Guess

Answer:

So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]

Step-by-step explanation:

Given question :

[tex](2x+1)^3[/tex]

Now,

Applying this formula

[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]

So,

[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]

Answer:

3x 0r 2x1

Step-by-step explanation:

Answer:

350

Step-by-step explanation:makes sense

9514 1404 393

Answer:

  a) t18,10 + t18,11

  b) t24,15 + t24,16

  c) t13,6 +t13,7

Step-by-step explanation:

Each term of Pascal's triangle is the sum of the two terms above it in the triangle:

  tn,r = t(n-1),(r-1) +t(n-1),r

__

a) t19, 11 = t18,10 + t18,11

b) t25,16 = t24,15 + t24,16

c) t14,7 = t13,6 +t13,7

Answer:

Step-by-step explanation:

sin for < Θ is : 15/17

Answer:

2day I think might not be right

The number of days it will take him to reach his goal is 6.5 days.

Given that, Marty decided he wants to run a 5 km race.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.

Now, 7/4 +1/2 x= 5

⇒ 1/2 x= 5-7/4

⇒ 1/2 x=13/4

⇒ x=6.5 days

Therefore, the number of days it will take him to reach his goal is 6.5 days.

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Answer: x=6

.......................

Answer:

x = 6

Step-by-step explanation:

0.25(Figure A) = Figure B

0.25x = 1.5

x = 1.5/0.25

x = 6

Answer:

0

Step-by-step explanation:

3(x+6)=18

3x+18=18

3x=18-18

3x=0

3x/3=0/3

x =0

Given:

Area of a sector = 64 m²

The central angle is [tex]\theta=\dfrac{\pi}{6}[/tex].

To find:

The radius or the value of r.

Solution:

Area of a sector is:

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

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle of the sector in radian.

Putting [tex]A=64,\theta=\dfrac{\pi}{6}[/tex], we get

[tex]64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}[/tex]

[tex]64=\dfrac{\pi}{12}r^2[/tex]

[tex]64\times \dfrac{12}{\pi}=r^2[/tex]

[tex]\dfrac{768}{\pi}=r^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{\dfrac{768}{\pi}}=r[/tex]

[tex]16\sqrt{\dfrac{3}{\pi}}=r[/tex]

Therefore, the value of r is [tex]16\sqrt{\dfrac{3}{\pi}}[/tex] m.

Answer: 6/8 <;3..?

Step-by-step explanation:

Answer:

[tex]\pi (inches)[/tex]

Step-by-step explanation:

[tex]16 inch -pizza, radius=8 inch\\Circumference=2\pi r=2\pi \times8=16\pi \\LC=\frac{16\pi}{16} =\pi (inches)[/tex]

Answer:

{A, B, C, D}

domain = {A, B, C, D}

Happy learning!

--Applepi101

9514 1404 393

Answer:

  (d)  2 11/12

Step-by-step explanation:

  [tex]\dfrac{2}{3}-\dfrac{5}{4}+\dfrac{7}{2}=\dfrac{2}{3}+\left(\dfrac{14}{4}-\dfrac{5}{4}\right)=\dfrac{8}{12}+\dfrac{27}{12}=\dfrac{35}{12}=\boxed{2\dfrac{11}{12}}[/tex]

Answer:

[tex]x = \frac{13 - 9y}{2} [/tex]

Step-by-step explanation:

[tex]2x = 13 - 9y \\ x = \frac{13 - 9y}{2} [/tex]

Answer:

65.94

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

3.14(a² + ab)

a = 3

b = 4

Step 2: Evaluate

Hey there!

3.14(a^2 + ab)

= 3.14(3^2 + 3 *4)

3^2

= 3 * 3

= 9

3 * 4

= 12

3.14(9 + 12)

9 + 12

= 21

3.14(21)

= 65.94

Answer: 65.94

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

[tex] \huge{A.T.Q}[/tex]

[tex]5x - 2y = 4 \\ 2x - y = 1...( \times 2)[/tex]

[tex]5x - 2y = 4 \\ 4x - 2y = 2[/tex]

SUBTRACT BOTH EQUATIONS :-

[tex]x = 4 - 2 = 2[/tex]

PUT VALUE OF X IN SECOND EQUATION:-

[tex]2(2) - y = 1 \\ 4 - y = 1 \\ 4 - 1 = y \\ y = 3[/tex]

18

Step-by-step explanation:

hduduxjajahxhuddixisuduvic

Answer:

Step-by-step explanation:

[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]

use a calculator fo find the value

Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

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I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)

Step-by-step explanation:

Let's start by putting it in slope intercept form.

First use the distributive property

[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]

Now subtract 6 from both sides

[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]

Now it is in slope intercept form (y=mx+b)

In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.

In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.

To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.

[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]

A point on the line is (0, 3)

Answer:

225in

Step-by-step explanation:

Answer:

5/4 or

1 and 1/4

Step-by-step explanation:

1/2 + 3/4 =  

1 × 2

2 × 2 + 3/4

=

2/4 + 3/4

=

2 + 3

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    4

so  

5/4 or

1 and 1/4