Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?

Answer:

136

Step-by-step explanation:

simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,

lw = a.

This brings us to 8 × 17, which is 136.

Answer:

Volume of cylinder = pi r^2 h

1225 pi = pi×r^2×25

r^2= 1225/25=49

so, r= 7 cm

Answer:

Here is the answer hope it helps:)

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

    [tex]\large\boxed{\sf inverse \ variation}[/tex]

           [tex]\sf \large\boxed{\sf xy = 12}[/tex]

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

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

Explanation:  

Notice that for each column, the x & y values multiply to 12.

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.

Answer:

8km 323m

Step-by-step explanation:

The total distance given by summing up all the distances traveled using different means.

Distance by bus = 5km 28m

Distance by car = 2 km 265 m

Distance on foot = 1 km 30 m

(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m

Step-by-step explanation :

Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.

But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.

• Distance travelled by bus :

> Bus = 5km 28m

> Bus = 5 × 1000 + 28

> Bus = 5000 + 28

> Bus = 5028 m

• Distance travelled by car :

> Car = 2km 265m

> Car = 2 × 1000 + 265

> Car = 2000 + 265

> Car = 2265m

• Distance travelled by foot :

> Foot = 1km 30m

> Foot = 1 × 1000 + 30

> Foot = 1000 + 30

> Foot = 1030m

★ Now, total distance would be calculated as follows :

>> Total distance = (5028 + 2265 + 1030) m

>> Total distance = (7293 + 1030) m

>> Total distance = 8323 m

Therefore,

Answer:

b

Step-by-step explanation:

7w^2-18w/w^2-5w+6

The simplest form of the expression is 7w/w^2+6, the correct option is A.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

4w/w-2 + 3w/w-3

Now,

we can multiply the numerator and denominator by the missing factor. For example

w−24w​=(w−2)(w−3)4w(w−3)​

w−33w​=(w−2)(w−3)3w(w−2)​

Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:

w−24w​+w−33w​=(w−2)(w−3)4w(w−3)+3w(w−2)​

Simplify the numerator by distributing and combining like terms. For example:

(w−2)(w−3)4w(w−3)+3w(w−2)​=(w−2)(w−3)4w2−12w+3w2−6w​

(w−2)(w−3)4w2−12w+3w2−6w​=(w−2)(w−3)7w2−18w​

=7w/w^2+6

Therefore, by the given expression the answer will be 7w/w^2+6.

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Answer:

3 hours

Step-by-step explanation:

$190 - $55 = $135 that the plumber charged for labor

$135/$45 = 3 hours that the plumber spent fixing the sink

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

Answer:

c

Step-by-step explanation:

Check the picture below.

Using the t-distribution, it is found that:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]

t = -11.18.

We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].

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Step-by-step explanation:

the thing you need to do here is put the value of x and just simply the expression.....

= 3y + 78 + 6y + 13

= 3 × 3 + 78 + 6 × 3 + 13

= 9 + 78 + 18 + 13

= 118

[tex]....[/tex]

Answer:

3×3+78+6×3÷13

9+78+18÷13

88.38

Step-by-step explanation:

i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct

Answer:

(2, 0) and (-7, 0)

N

C.

b.

(2, 0) and (-2, 0)

There are no x-intercepts

d.

(9, 0) and (-2, 0)

Please select the best answer from the choices provided

O A

B

C

Step-by-step explanation:

The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability is given as

P = Favorable event / Total event

1.  The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be

P = 1/3

2.  The probability that you get an 8 when you are rolling a number cube will be  

P = 5/36

3.  From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be

P = 1/6

4.  Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be

P = 1/4

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Answer:

3

Step-by-step explanation:

a²+6.1²=6.8²

a²+37.21=46.24

-37.21 -37.21

a² = 9.03

a = √9.03

a = 3

The area of the training field is 5606.48 m².

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the training field is 5606.48 m².

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Answer:

36

Step-by-step explanation:

calculate the 6+the Other 6 together

Answer:

36

5/9

you can use a common denominator of 36, and multiply the numerators of each fraction by whatever number the denominator had to be multiplied by to get to 36

14/36+15/36-9/36

then you add and subtract

20/36=

5/9

Answer:

C and J

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

the volume (V) of the cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × a² × 2a = 2a³π

(b)

the volume of the prism is calculated as

V = Ah ( A is the cross- sectional area and h the height ) , then

a²b = 2a³π ( divide both sides by a² )

b = 2πa

Answer:

$0.01

Step-by-step explanation:

Convert gallons to ounces:

0.03125 Gallons of milk per serving

0.03125/2.48=0.0126008

Simplify:

0.01.

One portion costs 1 cent.

Answer:

E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1

Step-by-step explanation:

Answer:

the surface of the teachers table measures 1.5 m by 1m what is its surface area

Answer: 29

Step-by-step explanation:

all triangles equal to 180

180-97-54=29

Answer:

C

Step-by-step explanation:

Formula to get the area

A = r^2π

A = 16^2π

A= 804.24 cm^2

As per the given data, the approximate area of the shaded sector is 283 square cm, which is option D.

Area is a measure of the amount of space inside a two-dimensional shape or a flat surface. It is typically measured in square units, such as square meters or square feet.

To find the area of the shaded sector, we need to first find the area of the whole circle, and then multiply it by the fraction of the circle that is shaded.

The area of a circle is given by the formula:

A = [tex]\pi r^2[/tex]

Where r is the radius of the circle. In this case, we are given that the radius of the circle is 18 cm, so we can substitute this value into the formula:

A = [tex]\pi 18^2[/tex]

A = 324π

So, the area of the whole circle is 324π square cm.

The shaded sector has a central angle of 100 degrees, which is a fraction of the total central angle of 360 degrees. So, the fraction of the circle that is shaded is:

100° / 360° = 5/18

Therefore, the area of the shaded sector is:

A = (5/18) * 324π

A = 90π

Using 3.14 as an approximation for π, we get:

A ≈ 90 * 3.14

A ≈ 283

Thus, the approximate area of the shaded sector is 283 square cm, which is option D.

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