solve for x 64 = 2^3x

Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

Answer:

64 cm2

Step-by-step explanation:

Answer:

6 pieces

Step-by-step explanation:

Number of pieces = 4 ÷ (2/3)

                              \(= 4 *\frac{3}{2}\\\\= 2 * 3\\ = 6\)

Answer:

The square of 111,111,111 is 12,345,678,987,654,321. What's amazing about it is that if you read the digits from left to right, then it's a palindrome. If you read the digits from right to left, it's also a palindrome. This property makes it a doubly-palindromic number, which is quite rare and interesting.

Answer:

\((x-2)^2+(y+4)^2=25\)

Step-by-step explanation:

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\), where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.

The given circle has:

x-coordinate of center: 2

y-coordinate of center: -4

radius: 5

Meaning h = 2, k = -4, r = 5

Substitute into the general eqn.

\((x-2)^2+(y+4)^2=5^2=25\)

Answer: B, 1 mile / 5280 ft.

Step-by-step explanation: If you need to convert feet to miles the unit multiplier (ratio) that you use should have miles on top and feet on the bottom so that the feet cancel when you multiply, leaving miles as the unit. B is the only answer that has miles on top and feet on the bottom as well as the correct amounts (1 mile and 5280 ft).

Answer:

False

Step-by-step explanation:

In an essay, you have to cite every source you use because

a) the teacher needs to KNOW you didn't copy

b) the teacher needs to know if you got your info from a reliable source

c) the teacher needs to see your ability to use info from a source to put into your essay

This may be different for books, but citation is always a rule of thumb for essays in school, so don't forget unless you want points to be taken off of your score.

The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Given that the angle of elevation of the kite is 52 degrees. The length of the string is 91 ft.

We have to find the height of the kite. We use the trigonometric function to find the height of the kite.

In the triangle in the given figure,

Thus, the height of the kite is 71.71 ft.

The number of elements in the Q complement set, n(Q') is 7

From the question, we are to determine the number of elements that are in the given set.

To find n(Q'),

First, we will determine the elements in Q'

NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q

The universal set is

ξ = {numbers between 3 and 19}

That is,

ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

From the given information,

Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}

Therefore,

Q' = {4, 8, 11, 14, 15, 16, 19}

The value of n(Q') is the number of elements in the q' set

That is,

n(Q') = 7

Hence, n(Q') = 7

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Answer:

2,000

Step-by-step explanation:

I just completed it on Khan Academy and it was right. I hope this helps!

Answer:

2000 likes per minute

Step-by-step explanation:

thats the answer on khan

The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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t p = through point

s = slope

\(y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\ \)

\(y - ( - 7) = \frac{5}{2} \times (x - 4) \\ \)

\(y + 7 = \frac{5}{2} \times (x - 4) \\ \)

\(y + 7 = \frac{5}{2}x - \frac{5 \times 4}{2} \\ \)

\(y +7 = \frac{5}{2}x - \frac{20}{2} \\ \)

Subtract both sides -7

\(y = \frac{5}{2}x - 10 - 7 \\ \)

\(y = \frac{5}{2}x - 17 \\ \)

And we're done....

♥️♥️♥️♥️♥️

The equation in slope-intercept form is y= 5/2x - 17.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope = 5/2

and, point (4, -7).

Using Slope- intercept form

y = mx + b

y= 5/2x + b

As, the line passes through (4, -7)

-7 = 5/2(4) + b

-7 = 5(2) + b

-7 = 10 + b

b= -17

So, the Equation of line is y= 5/2x - 17.

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Answer:

it's b for sure young man

Answer:

7.2 field or 7 field

Step-by-step explanation:

9 cows=1 field

65 cows=x field

cross multiply

9x=65×1

x=65÷9

x=7.2/7 field

Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.

Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.

In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.

The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.

Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.

Answer:

0.07

Step-by-step explanation:

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.

Answer:

\(\large \boxed{0.07}\)

Step-by-step explanation:

The usual question is, "What is the probability of A, given B?"

They are asking, "What is the probability that you are driving to school if you are a sophomore (rather than taking the bus or walking)?"

We must first complete your frequency table by calculating the totals for each row and column.

The table shows that there are 30 students, two of whom drive to school.

\(P = \dfrac{2}{30}= \mathbf{0.07}\\\\\text{The conditional probability is $\large \boxed{\mathbf{0.07}}$}\)

What does that even say

The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)

= 0.290384375

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Answer:

49/(-1/7)=49*-7=-343

Step-by-step explanation:

Step-by-step explanation:

x = original number of sales

income =   x * p       now increase the price to 1/3 more

income = x * 1 1/3  p      now DECREASE the number of sales  

income   = 3/5 x  *  1 1/3 p     and simplify

                 3/5 * 4/3   *  x * p

                  12/15  x * p

                   4/5 x * p

                                           this  4/5 of the original x * p

                                                a DECREASE of 1/5

\(~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}\)

The total number of milk drank in a day since the significant figure is not specified is 0.325 L.

Significant figures are a way of approximation of large numbers to the required approximation such as two significant figures, three significant figures, or more, as the case may be.

From the given information:

The total number of milk drank in Liters in a day is:

= (0.125 + 0.20) L

= 0.325 L

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Answer:

the correct answer is B. 0.33 L

Explanation:

I just took this quiz and this was the correct answer.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

The expression is simplified to r²( r + 1) - (q - s²)

Algebraic expressions are mathematical expressions made up of variables and constants.

They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc

Given the expression;

r3 – [q + (r – s)2 ]

With the knowledge of BODMAS, we expand the bracket

r³ - q + ( r + s²)

r³ - q + r² - s²

Now, let's collect like terms

r³ + r² - q - s²

(r³ + r²) - (q - s²)

Factor out r, we then have;

r²( r + 1) - (q - s²)

The expression is simplified to r²( r + 1) - (q - s²)

Thus, the expression is simplified to r²( r + 1) - (q - s²)

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