½ (x + 2) = 5(x + 2) solution

Answer:  its b

Step-by-step explanation:

Answer:

1) 11^42. [. ( a^b)^c is a^bc]

2) 5^5. [a^b/a^c= a^(b-c)

3) 14^24

4) 3^10

Answer:

[tex] \sqrt{160} [/tex]

Step-by-step explanation:

Te equation of line is:

y = 3x + 12

Plug x = 0 in the above equation of line, we find:

y = 3*0 + 12

y = 0 + 12

y = 12

y-intercept = (0, 12)

Plug y = 0 in the equation y = 3x + 12

0 = 3x + 12

-3x = 12

x = 12/(-3)

x = - 4

x-intercept = (-4, 0)

Distance between x-intercept and y--intercept

[tex] = \sqrt{ {( - 4 - 0)}^{2} + {(0 - 12)}^{2} } \\ \\ = \sqrt{ {( - 4 )}^{2} + {(- 12)}^{2} } \\ \\ = \sqrt{16 + 144} \\ \\ = \sqrt{160} [/tex]

Answer:

G

Step-by-step explanation:

Answer:

which one

number please for giving answer

Answer:

hi

Step-by-step explanation:

Answer:

It will be 16 feet by the bottom of the building

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

30[2]+b[2]=34[2}

900+b[2]=1156

-900=-900

=16

Answer:

864 squared

Step-by-step explanation:

Answer:

This is a right angle triangle so

[tex] {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]

[tex] {42}^{2} = a {}^{2} + 30 {}^{2} \\ 1764 = a {}^{2} + 900 \\ {a }^{2} = 1764 - 900 \\ a { }^{2} = 864 \\ a = \sqrt{864 } \\ a = 29.39[/tex]

Answer:

-10

Step-by-step explanation:

x has to be less than -5. Since -10 is further away from 0 than any number it is the smallest. Also, -10 is more to the left.

Answer:

where is the options

Step-by-step explanation:

please send full question

Slime was a toy product manufactured by Mattel, sold in a plastic trash can and introduced in February 1976. It consisted of a non-toxic viscous, squishy and oozy green or other color material made primarily from guar gum.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Spinner 2

Probability helps us to know the chances of an event occurring. Sam should use the second spinner.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Sam plans to use a spinner to choose which friend to invite to the movies, he wants each friend to have a fair chance of being selected.

The term fair means that everyone or everything that is in the list should have equal opportunity.

Now, since Sam wants each friend to have a fair chance of being selected, therefore, the area on the spinner for each friend should be equal.

Hence, Sam should use the second spinner.

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Answer:

Step-by-step explanation:

base area = 7² = 49 in²

lateral area = 4×½(7)(6) = 84 in²

surface area = 49 + 84 = 133 in²

Answer:

23(22+78)(34)/21 =

78200/21

(Decimal: 3723.809524)

Answer:

78200 / 21 = 3723 17/21 = 3723.80952381

Step-by-step explanation:

23(22+78)×34÷21

Add 22 and 78 to get 100.

23 x 100 x 34 / 21

Multiply 23 and 100 to get 2300.

2300 x 34 / 21

Multiply 2300 and 34 to get 78200.

78200 / 21

Answer:

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2}[/tex]

Step 2: Determine Rule

If the highest power of x in a rational expression is the same both numerator and denominator, then the limit as x approached ∞ would be the highest term coefficient in the numerator divided by the highest term coefficient in the denominator.

Step 3: Identify

Numerator highest power: x²

Denominator highest power: 5x²

Step 4: Evaluate

Apply rule.

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e

Answer:

$57

Step-by-step explanation:

40%=0.4

95*0.4=38

95-38

57

Answer:

I suppose we start with sin³(2*x) and we want to get:

(1/2)*sin(2*x)*(1 - cos(4*x))

Here we will use the relationships:

cos²(x) + sin²(x) = 1

and

cos²(x) = (1 + cos(2x))/2

Now let's start:

sin³(2*x) = sin(2*x)*sin²(2*x)

and we can write:

sin²(2*x) = 1 - cos²(2*x)

replacing that in the above equation we get:

sin³(2*x) = sin(2*x)*sin²(2*x) = sin(2*x)*(1 - cos²(2*x))

now we can use: cos²(2*x) =  (1 + cos(2*2*x))/2

cos²(2*x) =  (1 + cos(4*x))/2

if we replace that in the equation above we get:

sin³(2*x) = sin(2*x)*(1 - cos²(2*x)) = sin(2*x)*( 1 -  (1 + cos(4*x))/2)

sin³(2*x) = sin(2*x)*( 1 -  1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*( 1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*(  1 - cos(4*x))/2

sin³(2*x) = (1/2)*sin(2*x)*(  1 - cos(4*x))

Answer:

Acute isosceles triangle

Step-by-step explanation:

No angle is greater than 90 and it has two equal sides

Answer:

acute isosceles triangle

Step-by-step explanation:

All of the angles are less than 90 degrees and two of the side are the same length

Given:

A right triangle on a coordinate plane.

To find:

The area of a triangle.

Solution:

We know that, the area of a triangle is

[tex]A=\dfrac{1}{2}\times Base \times Height[/tex]

From the given figure it is clear that the base of the triangle is 4 units and the height is 3 units. So, the area of the given triangle is

[tex]A=\dfrac{1}{2}\times 4 \times 3[/tex]

[tex]A=\dfrac{12}{2}[/tex]

[tex]A=6[/tex]

The area of the given triangle is 6 units². Therefore, the correct option is B.

Answer:

The area of the given triangle is 6 units²

Answer:

Choice C. -17

Step-by-step explanation:

6 to 7 = -13

7 to 8 = -15

8 to 9 = =17

Answer:

Step-by-step explanation:

Since y has degree of 5, x has degree of:

The required term of the given binomial expansion (x - 3y)⁸ is:

The value of the constant:

So the full term is:

Answer:

1/2 divided by 6

0.5/6

0.0833

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

a/Sin A = b/Sin B = c/Sin C

Where a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

Therefore, In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches.

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Answer:

in the photo

Step-by-step explanation: