What is the volume of th3 box if
the length is 15cm, the
Width is 12 cm, and
the height (or D)
Is 17cm?

Answer:

where is the question . ..... we are ready to help you

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

Answer:

6in is the cubic volume

Step-by-step explanation:

If I'm wrong just correct me

Answer:

this can be solved by simple unitary method

[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

Answer:

Hope this helps!

Step-by-step explanation:

f'(x)=0

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a,b)| for all a ∈ A, b ∈ B}

Given,

[tex]f(x)=7x^3-14x+2[/tex]

Answer has shown in the attached file.

Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

Learn more about Graph plotting:

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Answer:

Step-by-step explanation:

volume of a cylinder=πr^2*h

226.2=3.14*8*r^2

226.2=25.12*r^2

226.2/25.12=r^2

9=r^2

[tex]\sqrt{9[/tex]=r

3=r

radius =3 feet

Answer:

The alarm bell will ring at 473 psi.

Step-by-step explanation:

To answer this, find 215% of 220 pounds per square inch:

Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:

2.15(220 psi) = 473 psi

The alarm bell will ring at 473 psi.

Answer:

3a^6

Step-by-step explanation:

Answer:

[tex]30 {a}^{6} [/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

Members: 14 hope this helps ;)

Step-by-step explanation:

So, we see that there is 63 members (in all) so then we would do 2/9 x 63 = 14. We have 14 members playing a brass instrument

Answer:for points vgunvh

Step-by-step explanation:

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

[tex]AB\cong CD[/tex]                   (Given)

[tex]\angle BAC\cong \angle DCA[/tex]                   (Given)

[tex]AC\cong AC[/tex]                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

[tex]\Delta ABC\cong \Delta CDA[/tex]            [SAS congruence postulate]

Therefore, the correct option is B.

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

Answer:

Factorise:

3a(b+c)-4d(b+c)

Last one.

Further on:

(3a-4d)(b+c)

The factor 3ab + 3ac – 4db – 4dc can be grouped as

a(3b + 3c) - d(4b + 4c).

We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.

Given: 3ab + 3ac - 4db - 4dc.

Expanding the equation a(3b + 3c):  3ab + 3 a c

=3 a b+3 a c-d(4 b+4 c)

Expanding the equation -d(4 b+4 c): -4bd - 4cd

a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd

Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).

To learn more about factoring and grouping

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Answer:

2x - 6

Step-by-step explanation:

(x-3)2

2( x ) = 2x

2( - 3 ) = - 6

2x - 6

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 2x - 6}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

➺[tex]\:(x - 3)2[/tex]

➺[tex] \: 2x - 6[/tex]

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

Answer:

Q

Step-by-step explanation:

5x+15y ≥ -20

Solve for y

15 y≥  -5x-20

Divide by 15

y ≥ -5x/15 -20/15

y ≥ -1/3 x -4/3

Y is greater than or equal to so shade above  and on the line

4x-2y > 6

Solve for y

-2y > -4x+6

y < 2x -3

Shade below the line

The double shaded area is the solution

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

Explanation:

Let's focus on the inequality 4x-2y > 6

Plug in (x,y) = (0,0) to find that...

4x-2y > 6

4(0)-2(0) > 6

0 > 6

This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).

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

Let's check the point (0,0) with the other inequality as well

[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]

This is true because 0 is to the right of -20 on the number line.

So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.

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

To summarize so far, we found that

The overlap is region Q which is the final answer

Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.

Answer:

1093.96

Step-by-step explanation:

900(1+.05)⁴=1093.955625

Answer:

Step-by-step explanation:

(-6 , 4)  & (-1 , 2)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]

m = -2/5   & (-6 , 4)

y -y1 = m(x -x1)

[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]

Answer:

To be honest I don't understand this question

Answer:â

Step-by-step explanation:

f(x)+g(x)=3x^2-14-12x+4=3x^2-12x-10

Answer:

Length of the hypotenuse - 10

Step-by-step explanation:

To find the hypotenuse, we need to use the Pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

c^2 = 100

c = 10

Step-by-step explanation:

Here, the number of people has beed increased.

→ Number of people increased = 71 - 48

→ Number of people increased = 23

[tex] \to \% \: change = \left ( \dfrac{23}{71} \times 100 \right ) \: \% \\ [/tex]

[tex] \to \% \: change = \left ( \dfrac{2300}{71} \right ) \: \% \\ [/tex]

[tex] \red{ \to \% \: change = 32.39 \: \%} \\ [/tex]

Therefore, percentage change is 32.39 %.

Answer:

The square root of 37 minus the square root of 26

[tex]\sqrt{37} -\sqrt{26}[/tex]

Step-by-step explanation:

a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95

b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058

c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98

s) 3 square root 5 - square root 20 / square root 2 =

   3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=

   3.546

Answer:

-6- (2(3))

-6-6=-12

Answer= -12

Step-by-step explanation: