solve for x 5x 2^3x = 21

Answer:

3

Step-by-step explanation:

3 × 3 = 9

( 3 + 3 + 3 = 9 )

______________________________________

Answer:

Hello!

16

Step-by-step explanation:

Because

-5+16=11

Answer:

115/13

Step-by-step explanation:

convert mixed number into improper fraction

8×13+11

multiply

104+11/13

add

104+11=115

115/13

Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

Step-by-step explanation:

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.

There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Answer:

answer is (1,0)

Step-by-step explanation:

I think it is -4 and positive 2

Answer:

4√2

Step-by-step explanation:

√32 = √(16 * 2) = 4√2

Answer:

Juan can consume 2.22 calories per day

Step-by-step explanation:

[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]

Answer:

Nicholas pulls 5 blue marbles from the bag.

Step-by-step explanation:

Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:

10/2 = X

5 = X

Therefore, Nicholas pulls 5 blue marbles from the bag.

Answer:

x = 5

Step-by-step explanation:

Since this shape is a quadrilateral, the sum of the interior angles is 360.

Equation:

81 + 20x - 16 + 15x + 30 + 16x + 10 = 360

51x + 105 = 360

51x = 360 - 105

51x = 255

x = 5

Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

Answer: c

Step-by-step explanation:

y=(x-7)^2+7

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Answer:

I got 6.

Step-by-step explanation:

I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.

Answer:

If y - 4 = 5 then:

y = 5 + 4

y = 9

Answer:

the anser is d

Step-by-step explanation:

Answer:

b) 7x² - 12x√14 + 72

Step-by-step explanation:

Let's solve the problem,

→ (x√7 - 3√8)(x√7 - 3√8)

→ (x√7 - 3√8)²

→ 7x² - 12x√14 + 72

Hence, option (b) is correct.

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Answer;

14x-12

Explanation:

Since we are not asked what to fine, we can find the perimeter of the rectangle

Perimeter = 2(L+W)

Perimeter = 2(2x+1+5x-7)

Perimeter = 2(7x - 6)

Perimeter = 14x - 12

Hence the perimeter of the rectangle is 14x-12

Answer:

[tex]25m^{2} -40m+16[/tex]

Step-by-step explanation:

Rewrite (5m−4)^2 as (5m−4)(5m−4).

Expand (5m−4)(5m−4) using the FOIL Method.

[tex]25m^{2} -40m+16[/tex]

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer: -2

Step-by-step explanation: -2 times 5 is -10. -10-15=-25

Answer:

Option D. 4√2

Step-by-step explanation:

8/√2

The above expression can be simplified as follow:

8/√2

Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:

8/√2 × (√2/√2)

8 × √2 / √2 × √2

8√2 / 2

4√2

Thus, option D gives the correct answer to the question.

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476