can someone pleease help my teacher will not help me.

Answer:

x=36

Step-by-step explanation:

(3x+3)^0+x+54= 90

x+54=90

x=90-54

x=36

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer: 9/4 or 2.25

Step-by-step explanation:?????

Option C that is the range of the transformed test scores equals 3.5(the range of the raw scores) + 6.2 is NOT true

The range for a given data set is the difference between the highest and lowest data values. On transforming the scores using the new rule of transformation the highest and lowest values of the test scores also get changed. But the range of raw scores when multiplied by 3.5 and added to 6.2 will not be equal to the range of the transformed scores.

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Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Complete Question

Marissa found a shirt that had a 20% markdown on it if the price of the shirt is represented by x how much does the shirt cost excluding tax select all that apply

select all that apply

A. 0.20x

B.0.80x

C.x-0.20

D.x-0.80x

E.x(0.2+1.00)

F. x(1.00-0.20)

Answer:

B. 0.80x

F. x(1.00-0.20)

Step-by-step explanation:

The Formula for Selling Price when you have percent markdown is;

Selling price = (1 - percentage mark down)× Original price

From the question:

Selling price= Cost of the shirt(excluding tax)

Original price = x

Percentage markdown = 20%

= 0.20

Hence,

Cost of the shirt(excluding tax)

= (1 - 20%)x

= (1 - 0.20)x

= 0.80x

Option B and F is the correct option

Answer:

(6,7,8,8,9,11)

Step-by-step explanation:

Hopefully this helps:)

Answer:

2006-6, 2005-7, 2004-8, 2002-8, 2003-9, 2001-11

Answer:

recess makes up 1/28 of the school day.

Step-by-step explanation:

Answer:

x(x+8) = 256

Step-by-step explanation:

hello

one side is x

the other one is 8 yards longer, so it is x + 8

so the surface is x(x+8) = 256

hope this helps

Answer:

x(x + 8) = 256

Step-by-step explanation:

The area of a rectangle can be calculated by doing length times width.

One side is 8 yards longer than the other. Let one side be represented by x. So, another side would be x + 8.

x * (x + 8) = 256

x(x + 8) = 256

x^2 + 8x = 256

Hope this helps!

Answer:

3/64

Step-by-step explanation:

Answer: 3/64

Step-by-step explanation:

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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Answer:

Step-by-step explanation:

A cube has six faces, so, if the area is 96cm2, then, the Area of one of the faces will be 96cm2 ÷ 6 = 16cm2

since Area = L x W = L2, then L = √16cm2 = 4cm.

Answer:

y = 2x + 9

Step-by-step explanation:

1 = 2 x -4 + 9

5 = 2 x -2 + 9

9 = 2 x 0 + 9

......

Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

Answer:

3/2

Hope this helps <3

Answer:

Step-by-step explanation:

Equation

-9x+15=3(2-x)                          Remove the brackets.

Solution

-9x + 15 = 6 - 3x                    Add 9x to both sides

-9x+9x + 15 = 6 - 3x + 9x     Combine

15 = 6 + 6x                            Subtract 6 from both sides

15 - 5 = 6 -6 + 6x                Combine

10 = 6x                                Divide by 6

10/6 = 6x/6

Answer

x = 1 2/3 or 1.66666 ...          

The given equation according to the BODMAS become 39 in the simplified form.

According to the statement

we have to solve the given equation and simplify this.

So, For this purpose,

The given information is:

The equation is 40-32÷8+5-2.

Here to solve the equation we use the BODMAS rule:

So, The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS.

So, the equation is

40-32÷8+5-2.

Firstly we divide 32 and 8 according to the rule.

So,The equation become

40-4+5-2.

Then we add the terms then the equation become:

40+1-2.

Then again we add the terms then the equation become:

41-2.

Then we subtract the term then

39.

So, The given equation according to the BODMAS become 39 in the simplified form.

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Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

upper quartile

Step-by-step explanation:

upper quartile

Answer:

1,200 one decimeter pieces can be cut

Step-by-step explanation:

Find how many 1 decimeter pieces can be cut by converting the 120 meters to decimeters.

In 1 meter, there are 10 decimeters.

So, convert 120 meters to decimeters by multiplying it by 10:

120(10)

= 1,200

So, there are 1,200 decimeters in the strip. This means that 1,200 one decimeter pieces can be cut, since 1,200 divided by 1 is 1,200.

So, 1,200 one decimeter pieces can be cut

The probability that exactly 10 of the 20 women have dark eyes is 0.2051.

The theory used in this question is the binomial probability formula, which is used to calculate the probability of a certain number of successes in a given number of trials.

The steps for this process are as follows

Step 1: Calculate the binomial formula: (n!)/(x!(n-x)!) * p^x * (1-p)^(n-x),

where n is the number of trials (in this case, 20), x is the number of successes (10), p is the probability of a success (0.40 in this case), and n-x is the number of failures (10).

Step 2: Plug the values into the formula: (20!)/(10!(20-10)!) * 0.40^10 * (1-0.40)^(20-10)

Step 3: Simplify the formula: (20*19*18*17*16*15*14*13*12*11) / (10*9*8*7*6*5*4*3*2*1) * 0.40^10 * 0.60^10

Step 4: Calculate the result: 0.2051

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The sample size that should be used is 43.

Given that;

The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.

By considering the confidence level scenario, we get to solve how large a sample should be utilized.

The significance level is (α) = 0.03 ( 97% confidence level )

The critical value is (z*) = 2.17 ( From z-table )

The population standard deviation (σ) = 0.06

The margin of error (E) = 0.02

Therefore, the required sample size is;

n = [(z* × σ)/E ]²

n = 42.383

n ≅ 43

Finally, the sample size that should be used is 43.

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Answer:

don´t ge it sorry

Step-by-step explanation:

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

sin26=11/X

0.438371146789×x=11

X. = 11/0.438371146789

X=25.09289235975

Answer:

no

Step-by-step explanation:

Order of operations

18/2=9

9/3=3

5-2=3

3/3

1 (simplified)

The outcome is still the same but since you have to show your work.....That's the correct way to do it

Hope this helps. Have a nice day.

According to the most recent data from the U.S. Bureau of Labor Statistics (BLS), as of 2020, approximately 10.1% of Americans are self-employed.

This means that out of the total U.S. population, about 1 in 10 individuals are working for themselves rather than being employed by someone else.

It is important to note that the percentage of self-employed individuals can vary depending on various factors such as economic conditions, industry trends, and personal preferences. For example, certain industries like agriculture, construction, and professional services tend to have higher rates of self-employment compared to others.

Self-employment offers individuals the opportunity to have more control over their work, set their own schedules, and potentially earn higher incomes. However, it also comes with certain challenges such as the need to handle business-related tasks like marketing, finances, and customer acquisition.

Overall, the percentage of self-employed Americans provides insights into the dynamic nature of the job market and the various ways people choose to earn a living.

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