f(x)=5-x,g(x)=13-3x^2 and h(x)=2x

a. Find f∘ ( g∘ h)

b. Find h ∘ ( g∘ f )

c. Find g∘ (f ∘ h)

Answer:

x=1

Step-by-step explanation:

Perimeter of the square is 4 times the side = 4*(4x-1)

Perimeter of Rectangle = 2 L + 2 W = 2*(2x+2) + 2*2x

4*(4x-1) = 2*(2x+2) +4x

16x-4= 4x+4+4x

16x-4 = 8x+4

16x-8x = 4+4

8x = 8

x = 8/8

x=1

Hope this helps!^^

The number of significant digits the product should have = 2

The given numbers are:

[tex]4.5160 \times 10^{-3}\\ 2.09 \times 10^7\\ 5.8 \times 10^3[/tex]

We first multiply them.

[tex]4.5160 \times 10^{-3}\times 2.09 \times 10^7\times 5.8 \times 10^3 = 54.743\times10^7[/tex]

In measurement problems, we usually write it as [tex]5.474\times10^7[/tex]

Significant digits are the numbers which decide the precision and accuracy in measurement problems.

The fewest number of significant digits in each factor of multiplication is considered as the significant digits of the product.

So number of significant digits in [tex]4.5160\times10^{-3}[/tex] = 5

Number significant digits in [tex]2.09\times10^7[/tex] = 3

Number of significant digits in [tex]5.8\times10^3[/tex] = 2

So the product should be rounded into 2 significant digits.

So the product,  [tex]5.474\times10^7[/tex]= [tex]5.5\times10^7[/tex] with 2 significant figures.

Learn more about significant digits at https://brainly.com/question/24491627

#SPJ4

The Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida, a sphere building measuring 165 feet in diameter, has a volume of 2,352,071 cubic feet.

Volume refers to the amount of space occupied by a three-dimensional object.

Based on the problem, the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida is a sphere building measuring 165 feet in diameter. If radius is half of the diameter, then it has a radius of 82.5 feet.

The volume of the Spaceship Earth geosphere can be calculated using the formula for the volume of a sphere given by:

V = 4/3 π r^3

V = 4/3 π (82.5 feet)^3

V = 4/3 π (561,5151.625 cubic feet)

V = 2,352,071.15 cubic feet

Rounding off to the nearest cubic foot,

V = 2,352,071 cubic feet

To learn more about volume of sphere: brainly.com/question/22807400

#SPJ4

Answer: 200

Step-by-step explanation: hope this helps!!!

hey don't ask it in this way

ask a easy real question

so mods won't take it down

thanks btw <3

Using basic mathematical operations such as addition and subtraction, the art club have $358 after the show.

Basic mathematical operations includes addition, subtraction, multiplication, and division.

Addition is combining two or more values to come up with a total or sum. On the other hand, subtraction, the opposite of addition, is removing a value from another resulting to their difference.

If the art club raised $248 through fundraisers, spent $206 to set up an art show, and raised another $316 at the art show, adding the total amount they raised and subtracting the amount they have spent, we can solve how much money they have after the show.

$248 - $206 + $316 = $358

Learn more about basic mathematical operations here: https://brainly.com/question/4721701

#SPJ4

Answer:

-9

Step-by-step explanation:

her error was that -9 can't add up to -4

Answer:

  she needs to find factors of -45 that add to -4

Step-by-step explanation:

You want to know the error involved when looking for factors of 5x²-4x-9 by considering only factors of -9.

Consider the product of factors (ax +b)(x +d):

  (ax+b)(x +d) = ax² +adx +bx +bd = ax² +(ad+b)x +bd

You will notice the two parts of the sum that is the middle term coefficient have the product abd, which is also the product of the first and last coefficients.

Sarah needs to be looking for factors of (5)(-9) = -45 that have a sum of -4.

__

Additional comment

The factors Sarah needs are -9 and 5. These will give Sarah the equation ...

  5x² -9x +5x -9

which can be factored pairwise to ...

  x(5x -9) +1(5x -9) = (x +1)(5x -9)

Answer:

[tex]2x + 9 = y \\ - 4x - 3 = y \\ so \: both \: equation \: is \: equal \\ 2x + 9 = - 4x - 3 \\ 2x + 4x = - 3 - 9 \\ 6x = - 12 \\ x = \frac{ - 12}{6} \\ x = - 2[/tex]

Answer:

Step-by-step explanation:

if you multiply a negative number with another negative number, it will be positive: ( - ) x ( - ) = ( + )

and if you multiply a negative number with a positive number, it will be negative: ( - ) x ( + ) = ( - )

so          -(-4) = 4                  and             +(-9) = -9

-5+9-4+4-9-12+7=-10

I hope this helps

The orthocenter is the point where a triangle's three altitudes intersect, and the centroid is the point where the three medians intersect.

The coordinates of the orthocenter of Δ RST is (–4, –4).

An orthocenter of a triangle is the point at which altitudes drawn perpendicular from the vertex to the opposite sides of a triangle intersect. A triangle typically has three altitudes, and the intersection of all three altitudes is known as the orthocenter.

The orthocenter is the point where a triangle's three altitudes intersect, and the centroid is the point where the three medians intersect.

The slope of RS is (5-8)/(-1+4)  or –1. So, the slope of the altitude, which is perpendicular to RS is 1.

Now, the equation of the altitude from T to RS is:

y - 5 = 1(x - 5)

y  = x

Use the same way to find the equation of the altitude from R to ST. That is,

Y - 8 = -1/0 (X + 4 ) or x = -4

x = -4 and y = -4

Solve the equations to find the intersection point of the altitudes. So, the coordinates of the orthocenter of Δ RST is (–4, –4).

To learn more about the orthocenter of the triangle refer to:

https://brainly.com/question/1497181

#SPJ4

Answer:

search up

Step-by-step explanation:

A

The equation of the line in standard form passing through the points (-4 , 6) and (2 , -2) is 4x + 3y = 2.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant.

Given two points, (-4 , 6) and (2 , -2), use the two-point form to generate the equation of the line.

y - y2 = [(y2 - y1)/(x2 - x1)] (x - x2)

y - -2 = [(-2 - 6)/(2 - -4)](x - 2)

y + 2 = (-8/6)(x - 2)

y + 2 = -4/3 x + 8/3

To write the equation in standard form, arrange the variable(s) in one side and the constant(s) in the other.

y + 2 = -4/3 x + 8/3

4/3 x + y = 8/3 - 2

4/3 x + y = 2/3

Multiply both sides by 3 to have integer coefficients.

3(4/3 x + y) = 3(2/3)

4x + 3y = 2

To learn more about equation of line in standard form: brainly.com/question/17095050

#SPJ4

The difference between $10,000 invested at 1.33% compounded daily and 4.33% compounded semi annually is $11,188.99.

When an amount earns interest that is compounded daily, it means that both the amount invested and the interest accrued increases in value every day over the 3 year period.

If an interest is compounded semi-annually, it means that both the amount invested and the interest accrued increases in value two times in a year.

The formula that can be used to determine the future value when the amount is compounded is:

FV = P (1 + r)^nm

Where:

10,000 x [1.133^(3 x 365) ] - [1.0433^(2x3)]

10,000 x (2.4085 - 1.29)

10,000 x 1.119 = $11,188.99

To learn more about future value, please check: https://brainly.com/question/18760477

#SPJ1

Answer:

he will take the same time as its the same flow of water so he will spend 9 min and 2 sec

Answer:

it is as follows:

5x2=10

5x3=15

5x4=20

5x5=25

5x6=30

5x7=35

5x8=40

5x9=45

Step-by-step explanation:

Answer: 5   10   15   20   25   30   35   40   45   50   55   60    65   70   75   80   85   90   95   100   105   110   115   120   125   130   135   140   145   150

Step-by-step explanation:

Answer:

$1518

Step-by-step explanation:

Take the 1320 and multiply it by 0.15 (15% as a decimal) to get 198

Then add the 198 to the 1320 to get 1518

Pattern of the given terms -4,-3,-2,-1, . . is arithmetic progression and common difference 'd' = 1 , next three terms are 0, 1,2

As given,

Given pattern is -4,-3,-2,-1, . . .

a₁ =-4

a₂ =-3

a₃ =-2 ….

d =a₂ - a₁

  =-3 - (-4)

  =1

Pattern is arithmetic progression with d=1.

aₙ =a₁ + (n-1)d

a₅ =a₁ + (5-1)d

  =-4 +4(1)

  =0

a₆ =-4 + 5(1)

    =1

a₇ =-4 +6(1)

   =2

Therefore, pattern of the given terms -4,-3,-2,-1, . . is arithmetic progression and common difference 'd' = 1 , next three terms are 0, 1,2

Learn more about patterns here

brainly.com/question/14720576

#SPJ4

.

Answer:

there would be three hundred and fifty.

Yes, the product of an integer and a natural number will always be an integer.

         A natural number refers to a whole number that does not have any kind of fraction or decimal. Some examples of natural numbers are 1, 2, 3, 4, and so on. Zero is not a natural number.

        Integers refer to all numbers that can be positive and negative. It should not have a fractional part or a decimal part in the number. Integers can be depicted by the positive or the negative sign. Zero is an integer.

       Whenever we are multiplying a natural number with an integer, we are ultimately getting the result as a positive number, negative number, or zero. Thus, it will become an integer.

       Example 1: We can take the natural number 10 and the integer -5. Its product will be -50. Thus, it is an integer.

       Example 2: We can take the natural number 16 and the integer 0. Its product will be 0. Thus, it is an integer.

To learn more about natural numbers and integers,

https://brainly.com/question/17429689

https://brainly.com/question/1768254

#SPJ4

Answer:

< - 9, 11 >

Step-by-step explanation:

consider the end points of the vector

(5, - 2 ) and (- 4, 9 )

x- direction is then - 4 - 5 = - 9

y- direction is 9 - (- 2) = 9 + 2 = 11

then vector in component form is < - 9, 11 >

James was charged $42 for an overdraft fee for the purchase of the painting.

James had $72 in his bank, paying for a painting worth $75 with a cheque meant he had extra $3 for him to balance the local artist. Receiving an account balance was -$45 meant the bank helped James cover the extra $3 he was owing while charging him additional $42 for overdraft on the account. In mathematical relation, it is described as;

Cash in bank – cost of painting = ($72- $75)

= -$3

Thus, overdraft is calculated as;

Overdraft=Balance + amount to balance cost of painting = (-$45) + $3

=-$42

Therefore, James was charged an overdraft of $42 for the purchase of the painting.

To learn more about overdraft. Click, https://brainly.com/question/15289785

#SPJ4

y = x², y = 0, x = 2 are region enclosed by the given equations is revolved about the x -axis.

What exactly is a closed area?

All space between a floor and ceiling that is enclosed on all sides by solid walls or windows, except doors that stretch from the floor to the ceiling, is referred to as an enclosed area.

What do you mean by the region that a closed curve encloses?

The sum of all infinitely thin rectangles with height f(x), enclosed by the curve y=f(x), and the x-axis between x=a and x=b, is what we mean when we write baf(x)dx.

Whether contained or not?

Learn more about enclosed  region

brainly.com/question/15517451

#SPJ4

1/13 is probability of a second king is drawn.

In statistics, what does a probability mean?

Total cards = 52

a complete pack without jokers, then it is 4/52 = 1/13.

Learn more about probability

brainly.com/question/11234923

#SPJ4

A Venn diagram can be used to solve it.

A Venn diagram is a type of diagram where the relationships between items or groups of objects are represented by circles. While circles that do not overlap do not share any features, overlapping circles do. Venn diagrams are used to illustrate the parallels and differences between two concepts visually.

The Venn figure shows that 4 students passed both courses and that 20 students succeeded in English while 26 students passed in mathematics.

P(A∪B) = P(A) + P(B) - P(A∩B)

50 = 30 + 24 -  (candidates who passed both subjects​)

(candidates who passed both subjects​) = 4

To know more about Venn diagrams, click on the link

https://brainly.com/question/11393348

#SPJ9

The third quartile of the given data set is 42.

The third quartile (Q3, or the upper quartile) is the 75th percentile, meaning that 75% of the data falls below the third quartile.

Given is a data set, 20, 21, 24, 25, 28, 29, 35, 37, 42, 43, 44 we need to find the third quartile of the data set,

To find the third quartile we will use the given below formula,

Q3 = 3/4 (n+1)th term,

n = 11

Q3 = 3/4 (11+1)

Q3 = 3/4 x 12

Q3 = 9th term

= 42

Hence, the third quartile of the given data set is 42.

Learn more about third quartile, click;

https://brainly.com/question/24329548

#SPJ5

Answer:

In the interval (-∞, -5)

Step-by-step explanation:

Average rate of change of any graph is represented by the slope of the function in the given interval.

Rate of change =

= change in the y-coordinates

= change in the x-coordinates

If  = 0, then the rate of change will be zero in that interval

From the graph attached,

From x = -∞ to x = -5, we find a flat line, showing

Therefore, average rate of change of h(x) in the interval (-∞, -5) is zero

By solving for the density of the two metal cubes, we can determine that the two metal cubes are not made from the same material.

Density, denoted by ρ, is a property of any substance that is defined as the ratio between the mass and volume of the substance.

ρ = m/v

where ρ = density

m = mass

v =  volume

Solving the density of each cube.

Cube 1 :

ρ = m/v

ρ = m/e^3

ρ = 43. 63 g/(3. 2 cm)^3

ρ = 1.3315 g/cm^3

Cube 2 :

ρ = m/v

ρ = m/e^3

ρ = 683. 5 g/(8. 34 cm)^3

ρ = 1.1783 g/cm^3

If two objects have the same density, then they are made from the same material. Since the density of the two cubes are not equal, then they are not made form the same material.

Learn more about density here: https://brainly.com/question/6838128

#SPJ4

Using translation concepts, the coordinates of G after it is ROTATED 90 DEGREES CLOCKWISE are given by: (3,4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

The rule for a 90º clockwise rotation is given by:

(x,y) -> (y, -x).

From the figure given for the problem, the coordinates of G are given as follows:

G(-4,3).

Applying the rule, we have that:

(-4,3) -> (3, 4), as y = 3, -x = -(-4) = 4.

Hence the coordinates of G after it is ROTATED 90 DEGREES CLOCKWISE are given by: (3,4).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

f(2) = sqrt(4 - 2 ^ 2)

f(2) = sqrt(4 - 4)

f(2) = sqrt(0)

f(2) = 0

Answer: 0

Step-by-step explanation:

Give me Brainliest if that helped! :)

This is equivalent to 8.75 feet

====================================================

Explanation:

3 & 1/2 inches = 3.5 inches since 1/2 = 0.5

30 boards of this width total to 30*3.5 = 105 inches

This is equivalent to 105/12 = 8.75 feet. I'll leave the answer in inches since the original unit is inches. I would ask your teacher for further clarification.

Answer:

-60 x 2= -120

Step-by-step explanation:

Answer:

-40 * 3

Step-by-step explanation:

Just one example of many