Calculate the volume of a cylinder with radius 7 cm and height 10 cm [Take π = 22/7​

Answer:

(8x + 3)²

Step-by-step explanation:

Since our polynomial is 64x² + 48x + 9, we multiply 64x² by 9 to get 64x² × 9 = 576x² since we cannot simplify the expression any further.

Next, we need to find the factors of 576x² that add up to give 48x, these are 24x and 24x.

So the expression is re-written as

64x² + 48x + 9 = 64x² + 24x + 24x + 9

Writing out all the common factors, we have,

64x² + 48x + 9 = 8x × 8x + 3 × 8x + 3 × 8x + 3 × 3

Factorizing we have

64x² + 48x + 9 = 8x(8x + 3) + 3(8x + 3)

64x² + 48x + 9 = (8x + 3)(8x + 3)

64x² + 48x + 9 = (8x + 3)²

Answer:

DC = 2

Step-by-step explanation:

From the diagram, AD (i.e the angle bisector) bisects the angle into 2 equal parts. Thus, BD and DC are equal.

BD = 2

DC = BD = 2

DC = 2

This can further be explained as illustrated below:

We'll begin by calculating AD. This can be obtained as follow:

Angle A = 30°

Opposite = BD = 2

Hypothenus = AD =?

Sine A = Opposite (BD) /Hypothenus (AD)

Sine 30 = 2 / AD

0.5 = 2 / AD

Cross multiply

0.5 × AD = 2

Divide both side by 0.5

AD = 2 / 0.5

AD = 4

Finally, we shall determine DC. This can be obtained as follow:

Angle A = 30°

Hypothenus = AD = 4

Opposite = DC =?

Sine A = Opposite (DC) /Hypothenus (AD)

Sine 30 = DC / 4

Cross multiply

DC = 4 × Sine 30

DC = 4 × 0.5

DC = 2

Answer:

D. having students write a definition for each term in their own words in their native language

Step-by-step explanation:

In Mr Fischer's mathematics class, we are presented with two categories of learners. Those that are native speakers of English and those who are learners of English.

Both categories of students would show their understanding best in this lesson if they were to write in their own native language.

The native english-speakers would have no issues writing in English, but those who are English learners would have problems communicating their understanding of the lesson in English. So it is best they give their definitions in their native language.

Answer:

Percentage of punch spilled = 20%

Step-by-step explanation:

1 liter = 1000 ml

750 ml = 750/1000

= 0.75 liter

Quantity of fruit punch spilled = 0.75 liter

Total volume of fruit punch in the bucket = 3.75 liters

Calculate what % of punch was spilled

Percentage of punch spilled = quantity of punch spilled / Total quantity of punch × 100

= 0.75 liter / 3.75 liters × 100

= 0.2 × 100

= 20%

Percentage of punch spilled = 20%

Answer:

answer:

-9

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ignore that but just trust bahaha the answers -9

Answer:

The zeros of the function will be when f(x) = 0. As 0 = 3x^2 - 7x + 1, you can use the quadratic formula to solve, finding that x = (7 + sqrt(37))/2 or (7 - sqrt(37))/2.

Answer:

Option B, -3/2

Step-by-step explanation:

The line passes through (4,0) and (0,6)

so, the slope will be

(6-0)/(0-4)

= 6/-4

= -3/2

Answered by GAUTHMATH

Answer:

-14.

Step-by-step explanation:

- because of the -14x^6

Answer:

-14

Step-by-step explanation:

3x2 - 14x6 + 6x3 + 12x +5x5

Rewriting in standard form

-14x^6 +5x^5 +6x^3 +3x2 +12x

The coefficient of x^6 is -14

Answer

f(-2)= 12

Step-by-step explanation:

f(x) = -3x2

f(-2)= -3 (-2) 2

f(-2)= 6.2

f(-2)= 12

Hope this help :)

Answer:

-12

Step-by-step explanation:

f(x) = -3x^2

f(-2) = -3(-2)^2 = -12

Answer: Sam did not get the question correct.

I believe he squared it wrong.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.

so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.

so, the slope is

-6/4 = -3/2

Answer:

[tex]\text{C. }a_n=-8+(n-1)5[/tex]

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by [tex]a_n=a_1+(n-1)d[/tex], where [tex]a_n[/tex] is the [tex]n[/tex]th, [tex]a_1[/tex] is the first them of the sequence, and [tex]d[/tex] is the common difference.

In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:

Thus, the explicit formula for this sequence is:

[tex]\boxed{a_n=-8+(n-1)5}[/tex]

Answer:

DC is congruent to CZ

Step-by-step explanation:

We know two angles are congruent so we need to have the side that is included between those angles so we say that

DC is congruent to CZ

Here's your answer.

1.(-1,0)

2.(0,2)

Answer:

-------------------------

Hope it helps...

Step-by-step explanation:

Step-by-step explanation:

how many ounces is The glass

Answer:

7. C

E =

[tex] \sqrt[3]{95} [/tex]

Answer:

81 cm ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We are given the diameter of 6 so the radius is 1/2 the diameter

r = 1/2 (6) = 3

V = 1/3 pi r^2 h

   = 1/3 ( 3) * (3) ^2 * 9

 = 81 cm ^3

Answer: 7x5x4=140^3

140

Step-by-step explanation:

1. 1st option

2.1st and 4th option

3.2/5

Answer:

Step-by-step explanation:

The formula for arc length is

[tex]AL=\frac{\theta}{360}*\pi d[/tex] where theta is the central angle. We are given the central angle when we are told that the measure of arc EFG is 240 degrees. The diameter is given as 36, so filling in:

[tex]AL=\frac{240}{360}*\pi (36)[/tex] which can be simplified down a bit to

[tex]AL=\frac{2}{3}*\pi (36)[/tex] and a bit more to

[tex]AL=2\pi(12)[/tex] which gives us, finally,

[tex]AL=24\pi[/tex]

I can't tell which of your answers matches this one because they're much too small to read.

Answer:

y = -4x - 6

Step-by-step explanation:

y = -4x + b

2 = -4(-2) + b

2 = 8 + b

-6 = b

Answer:

23 more cars than trucks.... It means you add 23 over the number of trucks

2 trucks | 2+23 =25

Do u get it

Answer:

the minimum distance each of them can cover equally is 8 m.

Step-by-step explanation:

Given;

different distance covered by Laiba, tauseef and Nadia = 24 m, 42 m and 52 m

for the 24 m, distance covered by each = 24 m/3 = 8 m

for the 42 m, distance covered by each, = 42 m/3 = 14 m

for the 52 m, distance covered by each, = 52 m/3 = 17.33 m

From the results above, the minimum distance each of them can cover equally is 8 m.

In case of Nina:

slope of graph = speed = 48-32/6-4 = 16/2 =8

y-32 =8(x-4)

y-32=8x-32

y=8x

d=8t

at x= 0 i.e at t= 0

d= 0m

In case of Ryan:

slope =speed = 47.5-35=6-4 = 12.5/2 =6.25

y-35=6.25(x-4)

y-35=6.25x-25

y=6.25x+10

d=6.25t+10

at t = 0, d= 10m

RYAN had a head start of 10 m

Answer:

12

Step-by-step explanation:

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Answer:

D. [tex]16x^2}-56xy+49y^2[/tex]

Step-by-step explanation:

A and B aren't correct because the last term is negative.

The factored form of D is [tex](4x-7y)^2[/tex]

I hope this helps!

Answer:

a^2 -10a +16

Step-by-step explanation:

(a-2) • (a-8)

FOIL

first a*a = a^2

outer: a * -8 = -8a

inner: -2 *a = -2a

last: -2 *-8 = 16

Add them together

a^2 -8a -2a+16

Combine like terms

a^2 -10a +16

Answer:

Step-by-step explanation:

(a-2) (a-8) , distribute a over (a-8) then -2 over (a-8)

a²-8a-2a+16, combine like terms

a² -10a +16