Given the following f(x) = 3x² + 7x³ + 8x^4; g(x) = -3x + 12x² - 5x³; and h(x) = 12x +
6
Complete the following: (f.h)(x)
96x5 +132x4+78x³ + 18x²
96x +132x4+78x³ + 18x²
96x5 + 122x + 78x³ + 18x²
96x5 +132x4+84x³ + 18x²

The compound interest when $7300 when interest is compounded semi annually is $2482.70.

The compound interest when $7300 when interest is compounded monthly is $1972.73.

An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.

The formula to represent compound interest is :

FV - amount invested

FV = P (1 + r)^nm

a. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70

Compound interest = 9782.70 = 7300 = $2482.70

b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73

9272.73 - 7300 = $1972.73

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Answer:

Circle D

Step-by-step explanation:

The circumference of a circle can be calculated by multiplying the diameter by π.  Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.

The only circle for which we have been told the radius is Circle D.  The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in

There are 12 inches in 1 ft.

Therefore, the circumferences of the circles in order from smallest to largest is:  B < C < A < D

Proof

Diameters

The commission on the sales will be $118.2.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%

The commission amount will be:-

7.5 % of $1576 will be calculated as:-

Commission = 1576 x 0.075

Commission = $118.2

Therefore the commission on the sales will be $118.2.

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The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

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Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Answer: Hope this helps you

0,0

Answer:

Step-by-step explanation:

→ The lines TN and FL intersect each other  

at the point R forming the opposite angles ∠TRF and ∠NRL

then

∠TRF and ∠NRL are verticals angles.

………………………………………………………………………

→ The lines LF and AE intersect each other  

at the point R forming the opposite angles ∠LRE and ∠FRA

then

∠LRE and ∠FRA are verticals angles.

Answer:

(7x-3)/-1

Step-by-step explanation:

swap the x and y and then move the y by itself

x=(3-y)/7

7x=3-y

7x-3=-y

(7x-3)/-1=y

The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

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From the calculation below, the actual difference, if Robert had read the numbers correctly, is 168.

Let X represents the number from which subtrahend is subtracted.

Therefore, we can calculate X as follows:

X – 17 = 222

X = 222 + 17 = 239

If the subtrahend is read correctly as 71 and then subtracted from 239, we have:

Actual difference = 239 – 71

Actual difference = 168

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Answer:

Median

Order the data values from smallest to largest:

55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67

As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61

Quartiles

55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67

The first quartile is the median of the data points to the left of the median  ⇒ first quartile = 58

The third quartile is the median of the data points to the right of the median  ⇒ first quartile = 63.5

Five-number summary

Draw a box from the first quartile (58) to the third quartile (63.5)

Add the median (61) as a the vertical line through the box.

The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).

Answer: Cylinder B is 50% bigger than cylinder A

Cylinder A volume:

= πr²h

= π(10)²(5)

= 500π

Cylinder B volume:

= 750π

Cylinder B bigger than Cylinder A by:

= (750π - 500π)/500π × 100 = 50%

[tex]\hrulefill[/tex]

Hence, cylinder B is bigger than cylinder A by 50%

Answer:

Cylinder B is 50% bigger than Cylinder A

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Cylinder A

Given:

Substituting the given values into the formula:

[tex]\implies \sf Volume_A=\pi (10)^2(5)=500\pi \:in^3[/tex]

Cylinder B

Given:

[tex]\implies \sf Volume_B=750\pi \:in^3[/tex]

Percentage Change

[tex]\begin{aligned}\sf percentage\:change & =\sf \dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{Volume_B-Volume_A}{Volume_A} \times 100\\\\& = \sf \dfrac{750\pi-500\pi}{500\pi} \times 100\\\\& = \sf \dfrac{1}{2} \times 100\\\\& = \sf 50\%\end{aligned}[/tex]

Therefore, Cylinder B is 50% bigger than Cylinder A

Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for

Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

speed = distance/time

speed = 180/2

speed = 60km/hr

hope it helps...!!!

The binomial expression (p + q ) n (p+q)n to calculate the binomial distribution given will give a value of 10.

From the information given, the expression (p + q ) n (p+q)n is given to calculate a binomial distribution with n = 5 and p = 0.3.

p = 0.3

q = 1 - 0.3 = 0.7

n = 5

Therefore, expression ( p + q ) n (p+q)n will b:

= (0.3 + 0.7)× 5 + (0.3 + 0.7)× 5

= 5 + 5

= 10

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The side |rs| is congruent to side |ac| which is 14 ft.

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore:

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Answer:

sorry I don't know

Step-by-step explanation:

sorry

Answer:

the answer to the questions is 140

Central angle

So measure of arc BC is 80°

Use inscribed angle theorem

The measure of arc from A to B that doesn't pass through C is

Answer:

72

Step-by-step explanation:

54/2(3)−3^2

= 54/2(3)−3^2

=72

Answer:

$8.50

Step-by-step explanation:

I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:

($31.50) + r [tex]\leq[/tex] $40

This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r,  must be equal to or less than the $40 he has allowed himself to spend.

($31.50) + r [tex]\leq[/tex] $40

r  [tex]\leq[/tex] $40 - $31.50

r [tex]\leq[/tex] $8.50

Answer:

yes

Step-by-step explanation:

2/3=6/9

2/3=2/3

it is because 6 and 9 is divided by 3

The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

Answer:

1. 3.33333333333

2. -1.3

3. 2.61904761905

4. 2.00833333333

Answer:

1331 inches cubed

Step-by-step explanation:

V=LHW

since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.

Hope this helped!

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

In navigation problems, direction angles are specified a couple of different ways. A bearing is usually an angle in the range [0°, 360°), measured clockwise from north. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

Additional comment

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.

The given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.

We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.

The given figure is a parallelogram as opposite sides of the figure are parallel and equal.

The given figure is a rhombus as all the sides are parallel and equal.

The given figure can not be a square as in the square all the four sides are perpendicular to each other.

Therefore given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

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