Multiply Mentally: 4.527 • 10(2)

Answer:

x = -9, x = -2

Step-by-step explanation:

[tex]x^2 + 11x + 18 = 0[/tex]

What multiplies to get 18 and adds to get 11?

9 and 2

(x + 9) (x + 2)

x = -9 x = -2

Answer:

275

Step-by-step explanation:

If they pay $2,200 to screen a movie and charge $8 a head then it's just division. 2200/8 is equal to 275.

the tickets should be 275 tickets..

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

Answer:

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  [tex]\frac{1}{2} + \frac{1}{8}[/tex]

The LCM of 2 and 8 is 8

Fraction of the garden used =  [tex]\frac{4 +1}{8}[/tex]

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Therefore, the butterflies used [tex]\frac{5}{8}[/tex] fraction of the garden.

Answer: 5/4c

Step-by-step explanation:

Hi, to answer this question we simply have to solve the equation given:

Coefficients are the numbers next to the variable; in this case, the variable is c.

c + 25/ 100c

1/1 c +25/100c

100/100c +25/100 c

125/100 c  

5/4c

Feel free to ask for more if needed or if you did not understand something.

Answer:

The area of triangle is 32 cm².

Step-by-step explanation:

When you fold a square into triangle, the length of sides will still be the same. So using area of triangle formula, you are able to find the area :

[tex]area = \frac{1}{2} \times width \times height[/tex]

Let width = 8cm,

Let height = 8cm,

[tex]area = \frac{1}{2} \times 8 \times 8[/tex]

[tex]area = \frac{1}{2} \times 64[/tex]

[tex]area = 32 \: {cm}^{2} [/tex]

Given:

To find out:

Find the area of half fold paper ( triangle) ?

Formula used:

Area of triangle = ½ × b × h

Solution:

We know that,

Area of triangle = ½ × b × h

☆ Substituting the values in the above formula,we get

Area of triangle = ½ × 8 × 8

= 4 × 8

= 32 cm²

Hence the area of given triangle is 32 cm².

Answer:

two imaginary numbers

Step-by-step explanation:

Answer:

work is shown and pictured

The point-slope form of the line is [tex]y-19=2(x-5)[/tex].

Important information:

We need to find the point-slope equation for the line

The point-slope form of a line that passes though the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute [tex]x_1=5,y_1=19,x_2=-5,y_2=-1[/tex].

[tex]y-19=\dfrac{-1-19}{-5-5}(x-5)[/tex]

[tex]y-19=\dfrac{-20}{-10}(x-5)[/tex]

[tex]y-19=2(x-5)[/tex]

Thus, the point-slope form of the line is [tex]y-19=2(x-5)[/tex].

Find out more about 'point-slope form' here:

https://brainly.com/question/12743204

Answer:

26cm^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and that divided by two

13 × 4 ÷ 2 = 26cm^2

Answer:6/12

Step-by-step explanation:

Answer:

14 square inches

Step-by-step explanation:

Given shape is obtained by joining two rectangles of dimensions 4 by 2 inches and 3 by 2 inches.

Hence,

[tex]Area \: of \: the \: figure \\ = 4 \times 2 + 3 \times 2 \\ = 8 + 6 \\ = 14 \: {inches}^{2} [/tex]

Answer: 3) cos 46 degrees

Step-by-step explanation:

Answer:

27/4

Step-by-step explanation:

2x + 8 - 8y

2x - 8y + 8

2 * (1/8) - [ 8 * (3/16)] +8

(1/4) - (3/2) + 8

[tex]\frac{1 - 6 + 32}{4} = \frac{27}{4}[/tex]

Answer:

-3.3 degrees

Step-by-step explanation:

10.2-13.5+ -3.3

Answer:

2 9

Step-by-step explanation: yikes

Answer:

5.3 cm

Step-by-step explanation:

[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 10.6 = \frac{1}{2} \times base \times 4 \\ \\ 10.6 = base \times 2 \\ \\ base = \frac{10.6}{2} \\ \\ base = 5.3 \: cm[/tex]

Answer:

Forest are going up

Step-by-step explanation:

Because leeds will bottle it

Answer:

7

Step-by-step explanation:

25-18=7

hope this helps.

Solution,

Total gumballs=25

Remaining=18

Now,

total- remaining

=25-18

=7

Hope it helps

Good luck on your assignment

Answer:

A =452.16 m^2

Step-by-step explanation:

The diameter is 24, so the radius is 1/2 of the diameter

r = 24/2 = 12

The area of a circle

A = pi r^2

A = 3.14 * (12)^2

A =452.16 m^2

The right answer is 452.16 square meters.( option C)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

346.19 m²

Step-by-step explanation:

The diameter of the circular flower bed is 15 m and the length of the sidewalk round the flower bed is 3 m.

This means that an extra length of 3 m is added on each side.

The joint diameter of the flower bed and sidewalk is:

15 + 3 + 3 = 21 m

The radius is half of the diameter, that is 10.5 m

The area of the sidewalk is therefore:

A = pi * r²

Where r = radius

A = 3.14 * 10.5²

A = 346.19 m²

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

Answer: 3, 11

Step-by-step explanation:

Y= 3+8 = 11

X= 11-14=3

Answer:

A

Step-by-step explanation:

-6a+2(2a+2)

-6a+4a+4

-2a+4

Answer:

-2a+4 is the answer

we need to follow BODMAS rule

Answer:

-9 and -3

Step-by-step explanation:

I hope this helps!

Answer:

-9 -3 because -2+-3= -5+-4= -9 and the number in the middle of -2 and -4 is -3

Step-by-step explanation:

Answer: B = B ∈ {70° + n*360° I n ∈ Z  } where Z is the set of the integer numbers.

Step-by-step explanation:

If we have an angle A, the other angles that have the same terminal arm than A can be written as:

B = A + n*360°

Here B is a "coterminal" angle to A. (they have the same terminal side)

where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)

So we can write the set as:

B = B ∈ {70° + n*360° I n ∈ Z  }

The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

We have to determine, which set of angles has the same terminal arm as 70 degrees.

According to the question,

Let, The angle A and other angle B that have the same terminal arm as A can be written as,

B  = A + n × 360°

Where the value of angle A is 70 degrees.

B is the coterminal angle, and they have the same terminal,

And n is the number of integers.

Substitute the value of A in the equation,

B  = 70 + n × 360°

Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.

Since the value of n is equal to 0 then A = B,

Therefore, The angles coterminal with itself is called trivial.

Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

To know more about Terminal Arm click the link given below.

https://brainly.com/question/20333574

Answer:

option C

Step-by-step explanation:

[tex]\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}[/tex]

Answer:

False

Step-by-step explanation:

Since the inequality uses the greater than symbol >

Then the line drawn should be a broken line.

If the inequality had ≥ ( greater than or equal to )

Then the line would be solid.

the guy above is correct

The answer is: False

The solution for this problem is:

To get the diagonal length of a square,  multiply the length of one side by the square root of 2:If the length of one side is x.

length of diagonal = x √2

length of a diagonal = 4√2

length of a diagonal = 5.6569 feet

Use the Pythagorean theorem

Diagonal = sqrt(4^2 + 3^2)

Diagonal = sqrt( 16 + 9)

Diagonal = sqrt(25)

Diagonal = 5