2^4. 2^5-(2^2)^2
Simplify the expression

Answer:

A.

Step-by-step explanation:

The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.

A solution is a set of values assigned to the unknown variables that ensure the equation's equality.

To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.

The given system of equation is;

[tex]x^2+y^2=9[/tex]

The standard equation of the  circle is;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

On comparing the given equation with the standard equation;

The first equation shows the center is at origin(0,0). and radius is 3.

The second equation shows the given equation is a straight line.

As we know that a straight line can only intersect a circle at a maximum of 2 points.

Hence the possible number of solutions to the equations in the system is 2.

To learn more about the solution refer to the link;

brainly.com/question/545403

Using compound interest, it is found that:

a) He will have paid $18,774 in total.

b) He paid $4,774 more than the price of the car.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are:

[tex]P = 14000, r = 0.049, n = 12, t = \frac{72}{12} = 6[/tex].

Item a:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 14000\left(1 + \frac{0.049}{12}\right)^{12 \times 6}[/tex]

[tex]A(6) = 18774[/tex]

He will have paid $18,774 in total.

Item b:

18774 - 14000 = $4,774.

He paid $4,774 more than the price of the car.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

The value of g(f(0)) is 36

Step-by-step explanation:

g(f(x)) is a composite function, where f(x) is the value of x in g(x), which means substitute x in g(x) by f(x)

Let us use this rule to solve our question

∵ f(x) = -x + 9

∵ g(x) = x² - 6x + 9

→ Substitute x in g by f

∵g(f(x)) = g(-x + 9)

∴ g(f(x)) = (-x + 9)² - 6(-x + 9) + 9

→ Let us simplify it

∵ (-x + 9)² = (-x)(-x) + (-x)(9) + (9)(-x) + (9)(9)

∴ (-x + 9)² = x² + -9x + -9x + 81

→ Add the like terms (-9x + -9x)

∴ (-x + 9)² = x² + -18x + 81

→ Remember (+)(-) = (-)

∴ (-x + 9)² = x² - 18x + 81

∵ - 6(-x + 9) = -6(-x) + (-6)(9)

∴ - 6(-x + 9) = 6x + -54

∴ - 6(-x + 9) = 6x - 54

→ Substitute them in g(f(x))

∴ g(f(x)) = x² - 18x + 81 + 6x - 54 + 9

→ Add the like terms

∴ g(f(x)) = x² + (-18x + 6x) + (81 -54 + 9)

∴ g(f(x)) = x² + (-12x) + (36)

∴ g(f(x)) = x² - 12x + 36

→ Now substitute x by 0

∴ g(f(0)) = (0)² - 12(0) + 36

∴ g(f(0)) = 0 - 0 + 36

∴ g(f(0)) = 36

There is an easy way to find it quickly

Substitute x in f by 0

f(0) = -(0) + 9

f(0) = 9

Substitute x in g by 9

Find g(9)

g(9) = (9)² - 6(9) + 9

g(9) = 81 - 54 + 9

g(9) = 36

Answer:

third quadrant

Step-by-step explanation:

Under a clockwise rotation about the origin of 180°

a point in the first quadrant ( x, y ) → (- x, - y ) ← in the third quadrant

Answer:

B

Step-by-step explanation:

consider the coordinates of T and T'

T (1, - 2 ) and T' (- 3, 1 )

1 → - 3 in the x- direction is - 4

- 2 → 1 in the y- direction is + 3

then the translation rule is (x, y ) → (x - 4, y + 3 )

Answer:

A, a centimeter is smaller so therefore it is more accurate.

Please see the solution.

[tex]Since\ x\ is\ the\ smavest\ number,\\ the\ Cavgent\ number\ equals\ to\ x+6.[/tex]

[tex]a)\frac{1}{4}x[/tex]

[tex]b)\frac{1}{3}(x+6)-5=\frac{1}{3}x+2-5=\frac{1}{3}x-3[/tex]

I hope this helps you

:)

Answer:

  2. do part 3, then subtract area not painted from the overall area

  3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²

  4. 57.72 ft²

Step-by-step explanation:

The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.

__

The area of the triangle is given by the formula:

  A = 1/2bh

  A = 1/2(8 ft)(4 ft) = 16 ft²

The area of the semicircle is ...

  A = 1/2πr²

  A = 1/2(3.14)(2 ft)² = 6.28 ft²

The area of the rectangle is ...

  A = bh

  A = (8 ft)(6 ft) = 48 ft²

__

The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...

  triangle area + rectangle area - semicircle area

  = 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area

Answer:

drop-leaves 38 in "U SE 22 1 19 0 o Let the center of the table be O and the chord of length 38 in.be AB Drop a perpendicular from to AB meeting it at C. Since the diameter of the circle is 44 in., the radius of the circle must be 22 in. and thus, OA= = in. By the definition of the sine function, AC sin 500-Twice that gives ZAOB, so the area of OA sector AOB is about in and the area of AAOB is 1 OA. OB sin 20-in? Subtracting the area of the triangle from the area of the sector shows that the area of the segment bounded by chord AB is about in (Type integers or decimals rounded to four decimal places as needed.) 19 22 B 2

Step-by-step explanation: i really  hope this is what your looking for, and helps!! love you have an amazing day:)) -marina mae

The area of the center section when the leaves are down is evaluated being of 932.84 in.²

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The simplified figure is attached below.

We need to find the area PQRS.

Area(PQRS) = 4(Area(DOQ) + Area(QOB)) (by symmetry.

The line OD and OT are perpendiculars on those 38 inch chords, and therefore D and T are bisecting them(by a theorem that perpendicular from center of a circle to its chords bisect them).

Using Pythagoras theorem, we get:
[tex]|DO| = \sqrt{|OQ|^2 -|DQ|^2 } = \sqrt{22^2 - 19^2} = \sqrt{123}[/tex]

Thus, we get:

[tex]\text{Area DOQ} = \dfrac{1}{2} \times 19 \times \sqrt{123} \approx 105.36 \: \rm in^2[/tex]

Since angle ∠DQO and ∠QOB are alternate interior angle, they are of same measure.

From triangle DOQ, from the perspective of ∠DQO, we get the sine ration as:

[tex]\sin(m\angle DQO) = \dfrac{|DO|}{|OQ|}\\m\angle DOQ = \sin^{-1}\left( \dfrac{\sqrt{123}}{22}\right) \approx 30.27^\circ \: \text{(chose acute angle)}[/tex]

Thus, we get:
[tex]m\angle QOB \approx 30.27^\circ[/tex]

360 degrees cover full area of circle,

1 degree will cover full area /360 of the circle

Thus, we get:

Aera of the sector QOB = Area covered by central angle ∠QOB[tex]\approx 30.27 \times \dfrac{\pi (22)^2}{360} \approx 127.85 \: \rm in^2[/tex]

Thus, as we have:

Area(PQRS) = 4(Area(DOQ) + Area(QOB))

we get:

Area(PQRS) ≈ 4(105.36 + 127.85) ≈ 932.84 in.²

Thus, the area of the center section when the leaves are down is evaluated being of 932.84 in.²

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer:

d = 140°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a nonagon has 9 sides , then

sum = 180° × 7 = 1260°

sum the angles and equate to 1260

150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is

1120° + d = 1260° ( subtract 1120° from both sides )

d = 140°

Answer:

x + x + x

Step-by-step explanation:

x + 3 can't be combined as they are two different terms

x + x + x = 3x (works)

x + x² can't be combined as they have different exponents

2x + 1 can't be combined as they are two different terms

Answer: 10

Step-by-step explanation:

Answer:

ya no

Step-by-step explanation:

Answer:

Step-by-step explanation:

are you showing the entire question because that actually makes no sense

Answer:

35.5?

Step-by-step explanation:

I am not 100 % but this is the answer I got

Answer:

36cm square

:)

Step-by-step explanation:

Step-by-step explanation:

23percent *A=46

23/100*A=46

A=46*100/23

A=200

answer Is 200

plz follow me

Answer:

The two answers that you have are correct: m<1=(4x-10) and m<2=58

Step-by-step explanation:

Answer:

A & B

mAngle1 = (4 x minus 10) degrees

mAngle2 = 58Degrees

Step-by-step explanation:

I GOT ONE QUESTION WRONG ON THE QUIZ BUT IT WASNT THIS ONE SO WOO

Answer:

your answer would be seven

Answer:

Disagree because the slopes are different.

Step-by-step explanation:

When an equation is in y=mx+b form, answering these kinds of questions becomes easier. "M" is your slope, so if m for both equations match, then your lines will be parallel. This one shows the first equation as 2/1, so you would rise 2 and run 1. but the second is 2.5 or 5/2, so you would rise 5 and run 2. rise meaning y-axis and run being the x-axis. Whenever possible, I turn equations to the y=mx+b form because it makes everything a bit clearer, in my opinion.

Answer:

This is form as y=mx+c, where m is slope line, c is y- intercept

so by comparain

m=-2/3

Answer:

582 ft²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Surface area = (5 x 15) + 2(15 x 8) + 2(5 x 8) + (15 - 11) x 5 + 2(1/2 x 11 x 7) + 2(9 x 5)

                      = 75 + 240 + 80 + 20 + 77 + 90

                      = 582 ft²

Answer: 582 ft

Step-by-step explanation: i took the test

Multiply the number outside the parentheses by each number inside.

Remember a negative x a negative becomes positive. A negative x a positive is negative.

The correct one is 9(-7 + 6) = 9(-7) + 9(6)

Answer:

The correct one would be 9(-7 + 6) = 9(-7) + 9(6)

Step-by-step explanation:

Answer:

length needs to be >10

Step-by-step explanation:

If we put 10 as the length as 10 it would equate to 50 square inches

but the question asks for greater than 50

therefore the length needs to be more than 10

Answer:

I'm sorry I don't know how to do this but when I do i'll tell u :)

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

g(x) = (x - 2)²

Step-by-step explanation:

If we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:

⇒ To shift f(x) b units to right → f(x - b)

Similarly, in function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:

⇒ To shift f(x) b units to left → f(x + b)

Given function f(x) = x²

Shift 2 units to the right:  f(x - 2) = (x - 2)²

Therefore, g(x) = (x - 2)²

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

Additional info:

g(x) = (x - 2)²

      = (x - 2)(x - 2)

      = x² - 4x + 4

Step-by-step explanation:

im not really sure because there is no question

Answer:

B--- 12 b (5 a minus 6)

Step-by-step explanation:

i took the quiz (edge 2021)