Can you help? I'm just too lazy to answer it lol​

Answer:

f(x) = cos(x)

Step-by-step explanation:

In a cos wave, y value is -1 when x value is pi

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

D. 31

Step-by-step explanation:

First Plug 2 into f(x) and solve.

  You should get 22.

Then plug f(2) which is equal to 22 into g(x).

So, plug 22 into g(x).

You should get 31.

The given sentence (exist t elementof R) (t middot x = 20) is an open sentence because it contains a variable x that is not specified. A statement, on the other hand, is a sentence that can be classified as either true or false, without any variables or unknowns.

If 5 is substituted for x, the resulting sentence is a statement: (exist t elementof R) (t middot 5 = 20). The statement is false because there is no real number t that can be multiplied by 5 to get 20.

If pi is substituted for x, the resulting sentence is a statement: (exist t elementof R) (t middot pi = 20). The statement is false because there is no real number t that can be multiplied by pi to get 20.

If 0 is substituted for x, the resulting sentence is a statement: (exist t elementof R) (t middot 0 = 20). The statement is false because any number multiplied by 0 is always 0, not 20.

The truth set of the open sentence (exist t elementof R) (t middot x = 20) is the set of all real numbers t such that their product with x is equal to 20. In other words, the truth set is {t elementof R | t middot x = 20}.

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Answer:$12.80

Step-by-step explanation:

originally the cost of the items are:

$5.00+$4.00+$7.00

=$16.00

with the coupon:

10% of $16.00

=$1.6

therefore

$1.6 ×2

=$3.20 is 20% of $16.00

$16.00 - $3.20

= $12.80

Step-by-step explanation:

Answer:

$12.80

Step-by-step explanation:

Given:

He purchased a pair of gloves for $5.00,

a scarf for $4.00 and a knit hat for $7.00.

When he got to the register, he used a 20% off coupon.

To Find:

How much did he spend?

Solve:

Cost of the items are:

$5.00+$4.00+$7.00

=$16.00

20% off coupon:

$16.00 × 20% = $3.20         or $16.00 of 20% = $3.20

$16.00 - $3.20

= $12.80

Hence, He spend $12.80

Kavinsky

a function should have one mapping so the answer is D

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

if breadth is in cm then area is 4000cm^2

Step-by-step explanation:

if breadth is in meter area is 40m^2

formula

area =lb

Given the shaded area of 63 square units, and the lengths of the bases and the right angle side, we can set up an equation using the formula for the area of a trapezoid. By solving this equation, we find that x is equal to 11.

Let's analyze the given information step by step to find the value of x.

We have a rectangle with two bases, one measuring 7 units and the other measuring x units. Additionally, there is a right angle formed with side x, which means that the height of the trapezoid is also 7 units. We are told that the area of the shaded section is 63 square units.

The formula to calculate the area of a trapezoid is (base1 + base2) * height / 2. Applying this formula to our situation, we can write the equation as (7 + x) * 7 / 2 = 63.

Simplifying the equation, we have (7 + x) * 7 = 126.

Expanding, we get 49 + 7x = 126.

Subtracting 49 from both sides, we have 7x = 77.

Dividing both sides by 7, we find x = 11.

Therefore, the value of x is 11.

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Answer:

Perimeter of the figure is 2r(\(\pi\) + 6)

Step-by-step explanation:

Perimeter of a shape is total length of the boundaries of the shape. In the given question, we have two semicircles and a rectangle.

The circumference of a circle = 2\(\pi\)r, thus the length of the arc of a semicircle = \(\pi\)r.

The height of the rectangle is h, radius 'r' of the semicircle = \(\frac{h}{2}\)

⇒                             h = 2r

The perimeter of a rectangle = 2(l +b).

Given that: the length is twice its height, so that:

length = 2h

Perimeter of the rectangle = 2 (2h + h)

                                            = 6h

But,        h = 2r

Perimeter of the rectangle = 6 × 2r  

                                            = 12r      

Perimeter of the figure in terms of the semicircle's radius = \(\pi\)r + 12r  + \(\pi\)r

                                                                                               = 2\(\pi\)r + 12r

                                                                                   = 2r(\(\pi\) + 6)

To be a matrix to be invertible the determinant of the matrix must be non zero thus for k ≠ 2 the matrix will be invertible.

matrix, a collection of numbers lined up in rows and columns to produce a rectangular array.

In computer graphics, where they have been used to describe picture transformations and other alterations.

The elements of the matrix, also known as the entry, are the numerals.

A matrix will be invertible only and only if the determinant is non-zero.

Given the matrix A.

The determinant of A is that |A| will be,

|A| = -3(8 - 8) - 0(-k + 2) - 3(-4k + 8) ≠ 0

0 + 0 + -3(-4k + 8) |A| ≠ 0

-4k + 8 ≠ 0

-4k ≠ -8

k ≠ 2

Hence "To be a matrix to be invertible the determinant of the matrix must be non zero thus for k ≠ 2 the matrix will be invertible".

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Answer:

The perimeter of a rectangle is the sum of all of it’s sides. Since a rectangle has 2 lengths of the same size and two widths of the same size, the perimeter is length + length + width + width, or 2(length) + 2(width), or, to make it shorter, 2l + 2w.

Since the length of the rectangle (l) in this scenario is really 4w, we can replace those, and get 2(4w) + 2w, and since we know the total is 50, we can say 2(4w) + 2w = 50.

Using the distributive property, we get 8w + 2w = 50, and 10w = 50, or w = 5. Since the length is 4w, the length is 4*5 = 20.

To find the area, you multiply length and width to get 5 * 20 = 100 sq meters.

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Answer:

36

Step-by-step explanation:

crossing out the 2 negatives, simplifying

3/4x=27

plz brainliestt

If there initially 12 grams of the substance, 5.35 grams will remain after 3 hours

The initial amount, a = 12 grams

The amount after 2 hours, y = 7 grams

Time taken, x = 2 hours

First, let us calculate the decay constant, b

The formula for the final value of an exponential decay is:

\(y=a(1-b)^x\)

Substitute y = 12, a = 7, and x = 2 into the equation to solve for b

\(7=12(1-b)^2\\\\\frac{7}{12} = (1-b)^2\\\\0.583=(1-b)^2\\\\\sqrt{0.583} = 1 - b\\\\0.764=1-b\\\\b=1-0.764\\\\b=0.236\)

The decay constant, b = 0.236

After 3 hours:

Substitute x = 3, a = 12, and b = 0.236 to solve for y

\(y=a(1-b)^x\\\\y=12(1-0.236)^3\\\\y = 5.35\)

Therefore, 5.35 grams will remain after 3 hours

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The distance of P at north of Q is 34.98 km.

The distance of P at east of Q is 19.39 km.

The distance of P at the given directions is calculated by resolving the vector into vertical and horizontal components.

The distance of P at north of Q is calculated as follows;

Py = d sinθ

Py = 40 km x sin (61)

Py = 34.98 km

The distance of P at east of Q is calculated as follows;

Px = d cosθ

Px = 40 km x cos (61)

Px = 19.39 km

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a) The sample in this scenario is 60 families from each school in the district.

b) The population is the total number of families in the school district.

The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.

The sample of families surveyed = 60 families from each school in the district

The population = the number of families in the school district

The percentage of families surveyed who need bus transportation = 65%

The percentage of families surveyed who would walk to school = 15%

The percentage of families surveyed who would use own transportation = 18%

The percentage of non-respondents = 2%

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Answer:

B

Step-by-step explanation:

In order to combine like terms, they must share the same variable. We can't combine things 9y and 3p because they contain two different variables. On the other hand, 7r and r work because there is only one. 7r and r combine to 8r+2

Applying the quadratic formula to the polynomial in the numerator, we get:

Where x1 and x2 are the roots of the polynomial.

Therefore, this polynomial can be expressed as follows:

To find the roots of the polynomial in the denominator we have to solve the equation in which the denominator is equal to zero, that is,

Using the roots, the polynomial can be expressed as follows:

Substituting these equivalent expressions into the original rational expression, and simplifying, we get:

The calculated period of the function is 12

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

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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Giving the funtion

m=2

n=-3

then the evaluated function in m=2 n=-3

has a value of 81/4

The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.

When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.

The values of x and y in order of x are:

x  3     4    5   6   7   8   9  

y   6     7    5   4   3    4   2

As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.

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Answer: 13/15

Step-by-step explanation:

Given:

Total number of students = 30

Number of students received an A = 4

Solve:

STEP ONE: Find the number of students who did not receive an A

No A = Total - Yes A

No A = 30 - 4

No A = 26

STEP TWO: Find the fraction of the class that didn't receive an A

Fraction = No A / Total

Fraction = 26 / 30

Fraction = 13 / 15

Hope this helps!! :)

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Answer:

Step-by-step explanation:

Explanation:

Answer: n = 0

Step-by-step explanation:

Given expression

(-3/4) (8n + 12) = 3 (n - 3)

Expand parentheses and apply the distributive property

-6n - 9 = 3n - 9

Add 9 on both sides

-6n - 9 + 9 = 3n - 9 + 9

-6n = 3n

Subtract 3n on both sides

-6n - 3n = 3n - 3n

-9n = 0

Divide -9 on both sides

-9n / -9 = 0 / -9

\(\boxed{n=0}\)

Hope this helps!! :)

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Answer:

0

Step-by-step explanation:

-3/4(8n+12)=3(n-3)

-24/4n-36/4=3n-9

-6n-9=3n-9

-6n-3n-9=-9

-9n-9=-9

-9n=-9+9

-9n=0

n=0/-9

n=0

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If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

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If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.

Let's assume David's average speed is S km/h.

A) To find David's average speed, we can use the formula: Speed = Distance / Time.

David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:

S = Distance / 5

B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.

Ken took 7 hours to complete the race, so we have:

S - 9.8 = Distance / 7

Now, we can solve the system of equations to find the values of S and Distance.

From equation (1): S = Distance / 5

Substitute this into equation (2):

Distance / 5 - 9.8 = Distance / 7

Multiply both sides of the equation by 35 to eliminate the denominators:

7 * Distance - 35 * 9.8 = 5 * Distance

7 * Distance - 343 = 5 * Distance

Subtract 5 * Distance from both sides:

2 * Distance - 343 = 0

Add 343 to both sides:

2 * Distance = 343

Divide both sides by 2:

Distance = 343 / 2 = 171.5 km

Therefore, the distance of the cycling race is 171.5 kilometers.

To find David's average speed, substitute the distance into equation (1):

S = Distance / 5 = 171.5 / 5 = 34.3 km/h

So, David's average speed was 34.3 km/h.\(\)

Answer:

A) 34.3 km/h

B) 171.5 km

Step-by-step explanation:

Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:

\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)

This distance for the cycling race can now be used to determine David's average speed:

\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)

Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.

The probability that either event will occur is 7/25

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space /Total outcome

P(A or B) = P(A) +P(B) -P(A and B)

The total element = 25+5+15+5 = 50

therefore total outcome = 50

P(A) = 25/50

P(B) = 15/50

P(A and B) = 5/40

Therefore P(A and B) = 25/50+15/50 - 5/50

= 35/50 = 7/25

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It will be 2.25 per hotdog and 1.19 per chip