A geometric sequence begins 8,16,32,64.... let x be the 53rd term in this sequence. compute log_2(x)

Answer:

i) 3x + 7

ii) x/3 = 9

iii) y = 2x +4

iv) y = 6x

Answer: 36 square units

Step-by-step explanation:

Divide the figure into 2 shapes: a rectangle and a triangle. Count the squares to find the dimensions of each figure. The rectangle has a width of 4 units and a length of 6 units. The triangle has a base of 6 units and a height of 4 units.

The formula for the area of a rectangle is length * width. The area of the rectangle is 4*6 = 24 square units.

The formula for the area of a triangle is (base * height)/2. The area of the triangle is (4*6)/2 = 24/2 = 12 square units.

Add the areas of both the rectangle and triangle. 24+12 = 36 square units.

Answer:

A

Step-by-step explanation:

That is the original and unchanged version of the quadratics.

Hope this helped! :)

Answer:

There is only a 25% of the probability

Answer:

63 degrees as 94 +23 =117

180-117=63

Answer:

the answer is 54.6/1 i really im not sure

Step-by-step explanation:

The equation, representing  the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b[/tex] = a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is so because as a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )

For this case, we're given that;

4 books = $50 in cost

Dividing 4 books in 4 groups equally gives 1 book per group.

Dividing $50 in 4 groups equally, which would correspond to those 4 groups of books, would give cost per group, and therefore cost of each book.

We've got:

[tex]\text{Cost of each book} = c = \dfrac{50}{4} \: \rm (in \: dollars)[/tex]

Dividing further, we get:

[tex]c = 50/4 = 12.5 \: \rm dollars[/tex]

Thus, the equation, representing  the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5

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Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72

Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

Answer:

[tex]\frac{5}{6}-\frac{1}{9} = \frac{45}{54} -\frac{6}{54} = \frac{13}{18}[/tex]

Step-by-step explanation:

An easy way to find a common denominator is to multiply the denominators against each other, like this:

[tex](\frac{9}{9})\frac{5}{6}-\frac{1}{9} (\frac{6}{6})[/tex]

Now, simplify:

[tex]\frac{45}{54}-\frac{6}{54}[/tex]

Then, subtract:

[tex]\frac{39}{54}[/tex]

Simplify:

[tex]\frac{13}{18}[/tex]      (Divide numerator and denominator by 3)

Hope this helps!!

Answer:

Bottom right.

Step-by-step explanation:

It is not the top left because that is 1/2,

It is not the bottom left because that is 2/3,

It is not the top right because that is 3/5,

It is the bottom right because it is 3/4.

Answer:

4√33/33

Step-by-step explanation:

Solution,

Here,

sinθ=4/7

p/h=4/7

b=?

Now using Pythagoras theorem,

[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]

Again,

tanθ=p/b

[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]

According to the question ,

Sin θ = 4/7

We know that , Sin θ = Perpendicular/Hypotenuse

So , by Pythagoras theorem

Hypotenuse² = Perpendicular ² + Base ²

7² = 4² + x²

49-16 = x²

√33 = x

5.7 = x

So , the base is 5.7 units (approx)

Tan θ = Perpendicular/base

Tan θ = 4/5.7

Seen can close the lid on the cube container with a 6 in. marker inside it which has the side length of 4 inches.

The cube shape is the three-dimensional solid which has 6 equal side. The diagonal of a cube can be calculated with the following formula;

d=6∛a

Here, (a) is the length of the side of the cube.

Sean has a plastic container which is in the shape of a cube. The side lengths of the cube container is 4 in. Thus, the diagonal of the cube is,

d=6∛a

d=6∛(4)

d=6 x 1.587

d=9.522 inches.

The diagonal of the cube container is 9.522 inches, which is more than the length of the marker.

9.522 in >6 in

Hence, Seen can close the lid on the cube container with a 6 in. marker inside it, which has the side length of 4 inches.

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Answer:

$173,954.01

Step-by-step explanation:

Finding compound interest :

Step-by-step explanation:

I hope you will understand

Answer:

x = [tex]-3 + \sqrt{(4+x)(4-x)}[/tex]

y = [tex]-3 - \sqrt{(4+x)(4-x)}[/tex]

Step-by-step explanation:

[tex]x^2 + y^2 + 6y=7\\[/tex]

⇒ [tex]\left(x-a\right)^2+\left(y-b\right)^2[/tex]

[tex]\left(x-0\right)^2+\left(y-\left(-3\right)\right)^2 =4^2[/tex]

What happened in this math problem:

Answer:

see photo attached for your reference.

Step-by-step explanation:

15.50 (to the nearest hundredth)

Answer:

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Answer:

Answer:20579.53

Step-by-step explanation:round it to its hundreth or tenth based on the question or full

Answer:

h=6cm

Step-by-step explanation:

V=lwh

126=3×7×h

h=6cm

To find the perimeter and area on a coordinate plane, first find each distance between points and then find perimeter and area with these lengths.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

Let's suppose if we have coordinates (a, b) (c, d), (e, f), and (g, h) on a coordinate plane.

We can use the distance formula to get the length of each side and then adding all the side lengths to get the perimeter of the figure, which is represented by the coordinates on a coordinate plane.

The distance formula can be used:

If we want the distance between (a, b) and (c, d)

[tex]\rm Distance = \sqrt{(c-a)^2+(d-b)^2}[/tex]

Similarly, we can find the distance for all the coordinates.

Let's assume the figure is a rectangle on a coordinate plane:

Then area = length×width

Thus, to find the perimeter and area on a coordinate plane, first find each distance between points and then find perimeter and area with these lengths.

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Answer:

y = [tex]\frac{1}{2} x\\[/tex]+5

Step-by-step explanation:

Y-intercept 5

Answer:

y- intercept = 5

Step-by-step explanation:

to find the y- intercept let x = 0 in the equation and solve for y

this relies on the fact that when the line crosses the y- axis the x- coordinate is zero, then

0 - 2y = - 10 , that is

- 2y = - 10 ( divide both sides by - 2 )

y = 5

then y- intercept = 5

Using it's concept, the theoretical probabilities of each color are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, considering the nine regions, and the numbers of each color, we have that:

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Answer:

7 inches

Step-by-step explanation:

1. Covert 7cm into inches: approximatly 3 inches.

2. 21/3: 7

3. 7 inches

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$23000\\ P=\textit{original amount deposited}\\ r=rate\to 3.70\%\to \frac{3.70}{100}\dotfill &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]23000=P\left(1+\frac{0.037}{12}\right)^{12\cdot 4}\implies 23000=P\left( \frac{12037}{12000} \right)^{48}\implies \cfrac{23000}{~~ \left( \frac{12037}{12000} \right)^{48}~~}=P \\\\\\ \cfrac{23000}{~~ \frac{12037^{48}}{12000^{48}}~~}=P\implies \cfrac{23000\cdot 12000^{48}}{12037^{48}}=P\implies 19840.43\approx P[/tex]

Answer:

41.24

Step-by-step explanation:

54.99 * .25 = 13.7475

54.99 - 13.7475 =

41.2425

Answer:

$41.24

Step-by-step explanation:

54.99 x 0.25 = 13.7475

54.99 - 13.7475 = 41.2425

41.2425 ≈ 41.24

hope this helps

have a good day

You're lucky that I was able to do this :)

The answer is [tex]\huge\boxed{\frac{1}{4}} [/tex]