If f(x)=3x, g(x)=x+4, and h(x)=x2-1, find the value of h[f(5)]

On solving the provided question we can say that equation formed is x/y = k, x = ky => y₂ = (10.5 × 3.2) / 5.6 => y₂ = 6

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x/y = k, x = ky

where k is a constant.

Thus, x₁ / y₁ = x₂ / y₂

5.6 / 3.2 = 10.5 / y₂

5.6 × y₂ = 10.5 × 3.2

y₂ = (10.5 × 3.2) / 5.6

y₂ = 6

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Answer:

3.656 ft

Round as needed

Step-by-step explanation:

cos∅ = adj/hyp

cos 83 = adj/30

multiply both sides by 30

30 * cos83 = adj

30 * 0.121869343405147 = adj

3.6560803022 = adj

≈ 3.656 ft

Answer:

42 cm cubed

Step-by-step explanation:

6x4x4 to find volume of 96 when it is filled.

3x3x6 = 54 to find out what is cut out.

96-54 = 42 cm cubed.

Answer:

-3x^2

Step-by-step explanation:

We must do the 'work' inside the parentheses first:

(3x squared)  works out to  3x^2

after which we preface this result with the ' - ' sign:  -3x^2

Note:  if we write ONLY 3x squared the correct interpretation is 3x^2.  But if we write (3x) squared, the correct interpretation is 9x^2.  Double check the original problem, please, or (better yet) share an image of the original problem.

Answer:

1. 50°

2.135

3.20°

4.45°

Step-by-step explanation:

1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)

2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)

3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.

130+30=160 180-160=20(might be better in column method)

4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.

95+40=135 180-135=45(might be better in column method)

Answer: 107ft^2

Step-by-step explanation:

Calculate the area of both squares and add together.

Area =

(5x7) + (8x9) = 107ft^2

Answer:

g=1.50x+12.50 / Cole can play 15 games

Step-by-step explanation:

Once writing the equation place 35 for the variable.( 35=1.50x+12.50) Then you would have to solve for x.(x=15) I hope this is correct

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Answer:

the value of x is 61 degree because the base angles of an isosceles triangle are equal.

Step-by-step explanation:

Hope it helps you!!

After the taxes and rent, the remaining amount in his gross pay is $5,700

The term gross income is defined as also known as gross pay when it’s on a paycheck is an individual’s total earnings before taxes or other deductions.

Here we have given that Rene makes $38,000 per year and pays about 35% of his gross monthly income in federal and state taxes.

And as we all know that If you live in a metropolitan city, your HRA is equivalent to 50% of your basic salary.

Therefore, the remaining amount in his hand is calculated as,

=> $38000 - [35% of income + 50% of income]

Here the 35% of income is

=> 38000 x 35/100

=> 380 x 35

=> 13300

Similarly, the 50 percent of the income is

=> 38000 x 50/100

=> 380 x 50

=> 19000

Then the remaining amount is calculated by apply the values on it, then we get,

=> $38000 - [$13300 + $19000]

=> $3800 - $32300

=> $5700

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Answer: 440 ft

Step-by-step explanation:

Given

A parade route is [tex]\frac{3}{4}[/tex] mile long

There are 8 refreshment stand at the end of the route

Suppose there are two refreshment stand, so the route is divided into 3 parts, similarly for three stands, the route is divided into 4 parts

For 8 stands, the route is divided into 9 parts

Distance between two stands is

[tex]\Rightarrow \dfrac{\frac{3}{4}}{9}\\\\\Rightarrow \dfrac{1}{12}\ \text{miles}[/tex]

We know, [tex]1\ \text{mile}\equiv 5280\ ft[/tex]

convert miles to feet

[tex]\Rightarrow \dfrac{1}{12}\times 5280\\\\\Rightarrow 440\ ft[/tex]

Answer:

p = -7

Step-by-step explanation:

1) added up the like therms

-p -7 = 0

2) multiply by -1

p+7 = 0

3) add at both members -7

p+7-7 = -7

p= -7

An equation to find the discount price, y dollars, of the pendant is y=2d.

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

The original price of the pendant was $200.

Let d represent the percent discount, written as a decimal.

The discount price, y dollars, of the pendant.

y=d% of 200

y=d/100 ×200

y=2d

Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.

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Answer: imma go with b brother

Step-by-step explanation:

Answer:

It will either invert the graph or stretch/compress the horizontal

Step-by-step explanation:

When a is negative It will invert the graph, and reflect it over the x-axis

By plugging in a=1 you get a normal absolute value function of x ( a V on the graph)

If a>1 then your graph will compress

If a<1 then your graph will stretch

Step-by-step explanation:

here's your solution

=> volume of cylinder = πr^2h

=> radius of cylinder = 12 unit

=> height of cylinder = 17 unit

=> volume of cylinder = 2448 π units^3

[tex]\huge\mathcal\pink{here's \: your \: solution}[/tex]

[tex]\huge\mathfrak\purple{hope \: it \: helps \: }[/tex]

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

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The coefficient of the expression X²Y in the product 7x² 5y X² 3y is 35.

7x² 5y X² 3y

= 7x² X² (5y 3y)

= 7x² X² (2y)

= 7x² X² 2y

= 14x² 2y

= 28xy

= 35

The given expression is 7x² 5y X² 3y. This can be rearranged as 7x² X² (5y 3y). This is equal to 7x² X² (2y). This can further be rearranged as 7x² X² 2y. This is equal to 14x² 2y. This can be further rearranged as 28xy. This is equal to 35. Therefore, the coefficient of X²Y in the product 7x² 5y X² 3y is 35.

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Answer:

2 prime numbers: 31 and 37

Step-by-step explanation:

31 and 37 are the only prime numbers between 30 and 40

A: 14+12+7+9+8+5+10+22+25+10 =122÷10=  12.2

B: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25 = 16.75

C:12, 15, 14, 13, 19, 17, 15, 9, 9, 9 = 13.2

D:  9, 5, 10, 12, 11, 15, 16, 14, 9, 8 = 10.9

E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13 = 14.5

The total mean is 67.55 shirts ,which also goes to 8

Your answer is 8 !

The equations which show direct proportion between a and b are:

a=2b and a=b/2.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.

Given, two variables a and b

If two variables a and b are in direct proportion

then,

a/b = constant.

1. a = b²

a/b = b

which is not constant

⇒ a is not in direct proportion with b.

2. a = 2b

a/b = 2

which is constant

⇒a is in direct proportion with b.

3. a = b/2

a/b = 1/2

which is constant

⇒ a is in direct proportion with b.

4. a=b+2

a/b = 1+2/b

which is not constant

⇒ a is not in direct proportion with b.

5. a = 2/b

ab = 2

⇒a is inversely proportional to b.

Hence, In equation a=2b and a=b/2, a is directly proportional to b.

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Answer:

-8 [tex]\leq[/tex] -8

Step-by-step explanation:

-8[tex]\leq[/tex]2-10

-8[tex]\leq[/tex]-8

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8

Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases

Given data :

y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases , the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

y = ³[tex]\sqrt{(x - 8)}[/tex] and  y = ³[tex]\sqrt{(x - 5)}[/tex]

are increasing functions.

Only when x becomes -x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or -(x+a) inside.

So

y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing

Only

y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.

Option D) is the right answer.

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Answer:

900π

Step-by-step explanation:

surface area of a sphere: 4πr²

=> 4 × π × 15²

=> 900π

Answer:

B

Step-by-step explanation:

Answer:

Well, it really just comes down to factoring the area into all of its components.

1 X 32 Perimeter is 2 + 64, or 66 m

2 X 16 Perimeter is 4 + 32 or 36 m

4 X 8 Perimeter is 8 + 16 or 24 m

8 X 4

16 X 2

32 X 1

Please note that the last 3 are just the first 3 in a different orientation and I don’t consider them to be unique. I noted them as a self-check to my own work. So we have 3 rectangles giving an area of 32 square meters and perimeters as noted above.

Answer:

dimensions which would give a rectangle a perimeter of 32 inches:

1 x 15

2 x 14

3 x 13

4 x 12

5 x 11

6 x 10

7 x 9

8 x 8

Step-by-step explanation: