Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24

Answer:

there are exactly two sets of parallel sides

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10              1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25          1*25

250               25

There are 250 berries

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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Answer:

cosθ = 7/25

Step-by-step explanation:

To find hypotenuse, you use Pythagorean's Theorem.

a^2+b^2=c^2

7^2+24^2=c^2

625=c^2

25=c

This means cosθ = 7/25

Answer:

56

Step-by-step explanation:

7×8=56

Hope this helps! :)

Answer:

The height of the pan is 4 in.

Step-by-step explanation:

Answer:

2

Proof:

x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2

The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2

"It is a polynomial which consists of three terms."

"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"

For given question,

We have been given a square trinomial.

[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]

We need to find the number in the blank space, so that the given trinomial would be complete square.

Let 'm' be the required number.

So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]

Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],

we have a = 1, b = 6, c = 7 + m

We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac

⇒ b² = 4ac

⇒ 6² = 4 × 1 × (7 + m)

⇒ 36 = 4 × (7 + m)

⇒ 9 = 7 + m

⇒ m = 2

This means, we need to add 2 in the blank space.

So, the square trinomial would be,

[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]

Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]  to complete the square is 2

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Answer:

-7

Step-by-step explanation:

3 v + 2 x

3 ( - 1) + 2 ( -2)

-3 - 4

-7

Answer:

Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system

y=ax+b

y=2x+5

needs to have no solutions. Subtracting the equations gives us

(a−2)x+(b−5)=0

In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .

Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation

5=2⋅4+b

should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation

y=2x−3

What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?

Which line is parallel to the line y = 2x -4?

What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?

What is an equation for the line that is parallel to y= -4x

Answer:1380

Step-by-step explanation: 12x115

Answer:

1,380

Step-by-step explanation: 12 times 115 gives you the product of 1,380. :)

Hope this is helpful

Answer:

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

Answer:

200000%

Step-by-step explanation:

.

Answer:

Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.

Step-by-step explanation:

Answer:

[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]

9514 1404 393

Answer:

  65°, 35°, 90°, 115°, 80°

Step-by-step explanation:

There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.

A: 0 or 180

B: 65 or 115

C: 90

D: 145 or 35

E: 180 or 0

__

Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.

arc AOB = 65 -0 = 65°

arc DOE = 35 -0 = 35°

arc AOC = 90 -0 = 90°

arc EOB = 115 -0 = 115°

arc DOB = 145 -65 = 80°

Answer:

d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

Answer:

80

Step-by-step explanation:

brainliest please ;>

Answer:

a) 3/4

b) 1/4

c) 1/2

d) 1/2

Step-by-step explanation:

A tosses one coin while B tosses two coins

a) P( B wins given A gets 0 heads )

In this scenerio for B to win, he needs to get at least 1 head i.e.  P( B gets at least one heads)

  =  1 - P(B get no head)

  =  1 -  (1/2)^2  = 3/4

b) P( B wins given A gets 1 head )

For B to win when A gets 1  head means that B will have to get 2 heads

i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4

c) P( B wins )

P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)

= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2

d) P ( B wins the new game )

Given that: A tosses two(2) coin while B tosses three(3) coins

P( B ) = P(A gets 0 head and B gets one head) +  P(A get 1 head and B get 2 or 3 heads )  +    P(A get 2 head and B gets 3 heads )

=[ (1/4 *(1 -1/8) ] +  (1/2 * 1/2)  +   ( 1/4 * 1/8 )= 1/2

Answer:

question unclear

Step-by-step explanation:

this is unclear I have no idea what this

Answer:

I would say D

Step-by-step explanation:

if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.

Answer:

1/4= 3/12 & 2/6 = 4/12

Step-by-step explanation:

Answer:

Its simply B

Step-by-step explanation:

If we are to express both ratios in their simplest form, we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3. The denominator that can be used in order to compare the ratios is that which can be divided by both ratios. For example, we have 12 as a denominator. The ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such that the ratios can be expressed as 6/24 and 8/24.

Answer:

The grapefruit is 18% heavier than the apple.

Step-by-step explanation:

Orange defines the 100% in this situation.

We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit   (in percentage)  will be: 100% + 8% = 108%

And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%

The difference between the two weights is then:

grapefruit - apple

108% - 90% = 18%

So the grapefruit is 18% heavier than the apple.