Translate into algebraic expression: 22 decreased by y%

Step-by-step explanation:

4m+2g=p

2g=p-4m

g=(p-4m)/2

Answer:

g = p/2 - 2m

Step-by-step explanation:

4m +2g = p

Subtract 4m from each side

4m -4m +2g = p-4m

2g = p -4m

Divide each side by 2

2g/2 = p/2 - 4m/2

g = p/2 - 2m

Answer:

12

Step-by-step explanation:

let the rational number be x

x+(-3) = 9

x = 9+3 = 12

Answer:

12

Step-by-step explanation:

x + y = 9

x = -3

=>

-3 + y = 9

y = 12

Answer

6372 - power 4

Step-by-step explanation:

This is a point, so it has x- and y-coordinates. Both of these coordinates are positive, therefore the point must be in the first quadrant.

The pattern for the points on a unit circle is 3 - 2 - 1 starting at 0 and up to pi/2. The pattern for the radian denominators on a unit circle is 6 - 4 - 3 starting at 0 and up to pi/2.

(sqrt(3) / 2, 1/2) = pi / 6 radians

Hope this helps!

Answer:

A. pi/6 radians

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1/2 : sqrt(3/2) : 1

sin theta = opp/hyp

tan theta = 1/2 / 1

tan theta = 1/2

theta = pi/6 radians

Answer: A. pi/6 radians

432 π m²

Answer:

Solution given:

radius of dome[r]=12m

now

Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²

The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

⇒ Radius of sphere = 12 meters

Now, We know that;

⇒ The surface area of a half sphere = 3πr²

Here, r = 12 m

Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 3πr²

⇒ 3 × 3.14 × 12²

⇒ 1356.48 meters²

Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

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Answer:

3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).

Step-by-step explanation:

let,the sum of the ages of chukwu & Caroline be X & Y.

now,

X+y=45

X-y=3

(+) (+) (-)

__________

2x=42

or,X=42/2

or,X=21

putting the value of X,

X+y=45

or, 21+y=45

or,y=45-21

or,y=24

therefore,X=21

y=24

Answer:

they are the values of the 3 coefficients.

Step-by-step explanation:

Answer:

h = 3/8

Step-by-step explanation:

1/2(6h-4) = -5h+1

Distribute

3h -2 = -5h+1

Add 5h to each side

3h-2+5h = -5h+1+5h

8h-2 = 1

Add 2 to each side

8h-2 +2 = 1+2

8h = 3

Divide by 8

8h/8 = 3/8

h = 3/8

Answer:

y = 4x - 12

Step-by-step explanation:

y = 4x + b

8 = 4(5) + b

8 = 20 + b

-12 = b

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]

Given that,

A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).

So,

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]

NOW,

The equation is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]

Using Pythagoras theorem

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]

[tex]\\ \Large\sf\longmapsto P^2=225[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]

[tex]\\ \Large\sf\longmapsto P=15ft[/tex]

Answer:

Step-by-step explanation:

we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)

Answer:

Required probability:

Required probability:

At least 2 students pass:

Number of x's:

Answer:

Step-by-step explanation: i think in my own word x+3<12 is A because it said julie only 3 notebook togerther it make itt less than 12notebook

Answer:

a^2+2ab = 21

(a+b)^2= 25

Step-by-step explanation:

(a+b)^2 = a^+2ab+b^2

sub a=3 and b=2 and simplify  

Answer: y=80/5x+80

Step-by-step explanation:

At one point graph goes from (0,400) to (25,800). So the y intercept is 400 because that’s where the line was at x=0. 0 to 25 is 25. 400 to 800 is 400. So the equation would be y=400/25x+400. But you can divide all of it by 5 to get y=80/5x+80.

Answer:

Step-by-step explanation:

[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]

As bases are equal in boht sides, we can compare the exponents.

-2x + 1 = -11

Subtract 1 form both sides

-2x = -11 - 1

-2x = -12

Divide both sides by -2

x = -12/-2

x = 6

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

Answer:

3x +12=-6

3x=-6-12

3x=-18

x=-18/3

x=-6

Answer:

x^ (-19/3)

Step-by-step explanation:

x ^ (-10/3)  ÷ x^3

We know a^b ÷ a^c = a^(b-c)

x ^ (-10/3)  ÷ x^3 = x^(-10/3 - 3) = x^(-10/3 - 9/3) = x^ (-19/3)

Answer:

The amount Tobie invests in a bank, P = $25

The annual compound interest rate, i = 4%

a. The principal is amount invested in the bank, P = $25

The annual interest rate, i = 4%

b. The function that represents Tobie's account balance, A, after t years is given as follows;

[tex]A(t) = P \cdot (1 + i)^t[/tex]

Where;

A(t) = The amount in the account after t years

P = The principal amount

i = The annual compound interest rate

t = The number of years

c. The values to place in the table are found as follows;

At t = 0, [tex]A(0) = 25 \times(1 + 0.04)^0[/tex]  = 25

At t = 10, [tex]A(10) = 25 \times(1 + 0.04)^{10}[/tex] = 37

The given table is presented as follows;

[tex]\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}[/tex]

Step-by-step explanation:

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

Answer:

1) The total displacement vector is ((16 + √2)/2, -(6+11·√2)/2)

2) The number of miles they'd have to walk is approximately 13.856 miles

Step-by-step explanation:

1) The distance, direction, and location of the path of the walk the person takes,  are listed as follows;

Start location, (0, 0)

6 miles East walk to location, (6, 0)

6 miles Southeast to location, (6 + 3·√2, -3·√2)

3 miles South to location, (6 + 3·√2, -3·√2 - 3)

5 miles Southwest to location, (6 + 3·√2 - 2.5·√2, -3·√2 - 3 - 2.5·√2)

2 miles East to location, (6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2)

(6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2) = ((16 + √2)/2, -(6+11·√2)/2)

Therefore the destination coordinates is ((16 + √2)/2, -(6+11·√2)/2)

The total displacement vector, [tex]\underset{d}{\rightarrow}[/tex] = ((16 + √2)/2, -(6+11·√2)/2)

d =  (16 + √2)/2)·i - (6+11·√2)/2)·j

2) If the person walked straight home, the number of miles they'd have to walk, [tex]\left | \underset{d}{\rightarrow} \right |[/tex], is given as follows;

[tex]\left | \underset{d}{\rightarrow} \right | = \sqrt{\left(\dfrac{16 +\sqrt{2} }{2} \right)^2 + \left(-\dfrac{6 + 11 \cdot \sqrt{2} }{2} \right)^2 } = \sqrt{134 + 41 \cdot \sqrt{2} }[/tex]

Therefore;

If the person walked straight home, the number of miles they'd have to walk [tex]\left | \underset{d}{\rightarrow} \right | \approx 13.856 \ miles[/tex]

Answer:

9^10

Step-by-step explanation:

(a^b)^c = a^(b×c)

hihi

Answer:

A

Step-by-step explanation:

Answer:

22x + 21y = 0

Step-by-step explanation:

33x + 22y = 11x + y

Subtract y from both sides.

33x + 21y = 11x

Subtract 11x from both sides.

22x + 21y = 0

x^2 + 3x + 2x

x^2 + 5x = Binomial

x^3 + x + 3x^2 - x

x^3 + 3x^2 = Binomial

4x^3 + x + x^2 - 2x

4x^3 + x^2 - x = Trinomial

3x^4 + x - 3x^4 - x

0 = No Polynomial/Zero Polynomial

Hope this helps!

The first given polynomial is binomial.

The second given polynomial is binomial.

The third given polynomial is binomial.

The fourth given polynomial is monomial.

Polynomials are algebraic expressions that consist of variables and coefficients.

A monomial is an algebraic expression that has only one term.

Binomial is an algebraic expression that contains two different terms connected by addition or subtraction.

A trinomial is an algebraic expression that has three non-zero terms.

According to the given question.

We have some polynomials.

If we take the polynomial:

[tex]x^{2} +3x+2x[/tex]

The above polynomial can be written as

[tex]x^{2} + 5x[/tex]

Since, the above polynomial has only two terms therefore it is  a binomial.

[tex]x^{3} +x+3x^{2} -x = x^{3} +3x^{2}[/tex]

The above polynomial has only two terms. Hence, the given polynomial is binomial.

[tex]4x^{2} + x + x^{2} -2x\\=5x^{2} -x[/tex]

The given polynomial has only two terms therefore it is binomial.

[tex]3x^{4} + x - 3x^{4} -x\\= 0[/tex]

The given polynomial has only one term therefore it is monomial.

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Answer:

The choose (D)

D. Circle

I hope I helped you^_^

The required cross-section for a cone is a circle. Option D is correct.

A conic section is a geometric shape that is obtained by intersecting a cone with a plane. Conic sections include circles, ellipses, parabolas, and hyperbolas.

The type of conic section that is formed depends on the angle of the plane relative to the axis of the cone, as well as the distance of the plane from the vertex of the cone.

Here,
The cross-section of a cone is a circle.

A cross-section is a shape that you get when you slice a 3D object with a plane. If you slice a cone parallel to its base, you get a circle as the cross-section.

Therefore, the correct answer is option D.

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Answer:

y = 3 + 0.40x

Step-by-step explanation:

Fixed cost of taxi fare = $3

Additional cost = $0.40

Let

y = Total cost

x = number of kilometers

The equation:

Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)

y = 3 + 0.40x