adjoint of [1 0 2 -1] is

Answer:

B

Step-by-step explanation:

1-cos2x=2sin²(x/2)

[tex]sin^2(\frac{x}{2} )=\frac{(1-cos(2x))}{2}\\(sin^2(\frac{x}{2} ))(1+cos(x))= \frac{(1-cos(2x))(1+cos(x))}{2}[/tex]

Answer:

122,599

Step-by-step explanation:

In words, what I am is asking is 17.7% of what number is 21,700.  I will need to change 17.7% to a decimal.  To do that, I move the decimal 2 places to the left.  Then solve.

.177 x w = 21700  Divide both sides by .177

w = 122,599

Answer:

Step-by-step explanation:

The domain is the set of x values.

The range is the set of y values.

Answer:

hello :

f(x)=x/4-3 and g(x)= 4x²+2x-4,

(f+g)(x).=f(x)+g(x)=x/4-3  + 4x²+2x-4,

(f+g)(x).= 4x²+(2x+x/4)-7

(f+g)(x).= 4x²+x(3+1/4) - 7......continu

A. The distance moved by the effort is 100 m

B. The workdone by the effort in lifting the load is 8000 J

C. The losses in energy involve the operating in machine 1800 J

Velocity ratio = Effort distance / Load distance

5 = Effort distance / 20

Cross multiply

Effort distance = 5 × 20

Effort distance = 100 m

Workdone = force × distance

Workdone by effort = 80 × 100

Workdone by effort = 8000 J

We'll begin by calculating the workdone in lifting the load. This is illustrated below:

Workdone = mgh

Workdone = 50 × 9.8 × 20

Workdone = 9800 J

Now, we can determine the energy lost as follow:

Energy lost = 9800 - 8000

Energy lost = 1800 J

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Mark's method is correct, because even though it is impossible to deliver mail to 1.2 houses in minute,  it represents the unit rate of houses per minute .

The first step is to determine the unit rate of houses per minute. This can be done by dividing 36 houses by 30 minutes.

36/30 = 1.2 houses per minute

The second step is to multiply 1.2 by 7.5: 1.2 x 7.5 = 9 houses

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The answer choice which is not a step in finding the area of the unknown figure is; Plug all dimensions into the formula: SA=Ixwxh. option B

It follows from the task content that all other steps except Plugging all dimensions into the formula; SA = l×w×h are correct steps.

This is due to the fact that, the formula does not work for all shapes and hence, it can't be generalized for all situations.

The step which is not involved in finding the area of an unknown figure is; Plug all dimensions into the formula: SA=Ixwxh.

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Answer:

B) Plug all dimensions into the formula: SA=Ixwxh.

Step-by-step explanation:

Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.

An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.

General form: ax + b = c; where the power of the variable x is 1.

It is given that,

Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.

Consider,

P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.

So, the linear equation that relates x and P is,

P = Cx + B   ...(i)

On substituting the values from the given table we get,

122.5 = C(4500) + B ...(ii)

160 = C(7000) + B ...(iii)

175 = C(8000) + B ...(iv)

By solving equations (iii) and (iv), we get

C = 15/1000 = 0.015

B = 55

Finding x value when P = $130:

We have P = Cx + B. Then for P = 130,

130 = Cx + B

We know C = 0.015 and B = 55

On substituting these values,

130 = (0.015) x + 55

⇒ 0.015x = 130 - 55 = 75

∴ x = 75/0.015 = 5000

Therefore, the required computers are 5000 dollars worth.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.

Table:

x: 4500, 7000, 8000

P: 122.5, 160, 175

respectively.

The measure of angle E in the secant intersection is 21 degrees.

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other

Therefore,

m∠E = 1 / 2 (∠AB - ∠CD)

m∠E = 1 / 2 (80 - 38)

m∠E = 1 / 2 (42)

m∠E = 42 / 2

m∠E = 21 degrees.

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Answer:

152 units

Step-by-step explanation:

Two sides of the rectangle are 27 units long and the other two sides are 49 units wide. You just add all the numbers up (27+27+49+49). When you do that, you get 152. I hope this helps!

The y-values of the two functions f(x) = 3x² -3 and g(x) = 2* - 3 has the minimum y-value of g(x) approaches -3 and f(x) contains the smallest possible y-value.

It exists described as a special kind of relationship and they contain a predefined domain and range according to the function every value in the domain exists connected to just one value in the range.

Given: f(x) = 3x² -3

As we can see in the graph the first term exists 3x² and exists still positive for all x.

The range for f(x) ∈ [-3, ∞)

When x = 0 then f(x) = -3

The above value exists as the smallest possible value on the y-axis.

Given:  [tex]g(x) = 2^x - 3[/tex]

[tex]2^x[/tex] exists also a positive quantity and it exists as an exponential function.

The range for the g(x) ∈ (-3, ∞)

It signifies that g(x) never touches the y-axis at -3.

We can express the minimum value of g(x) approaches -3.

Therefore, the correct answer is option B. The minimum y-value of g(x) approaches -3 and option D. f(x) has the smallest possible y-value.

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The amount borrowed is 2795

Principal is the amount loaned or invested in a bank or a financial institution that gives a certain interest on a specific rate over a period of time.

Analysis:

P = principal = unknown

R = rate = 9.25%

T = time = 3.5 years

I  = interest = 904.88

simple interest(I) = PRT/100

P = 100I/RT

P = 100 x 904.88/3.5 x 9.25 = 2795

In conclusion, the amount borrowed is 2795.

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Answer:

hope this helps

Answer:

Step-by-step explanation:

hello .....

note : the slope of the line (AB) is :

m = (YB -YA)/(XB - XA)

given  :  A(9,-4) and B (1,-5)

m= ((-5)-(-4))/(1-9)

m= 1/8

answer

symbolic materials ?

Answer:

6

Step-by-step explanation:

Assuming C lies on segment BD, we know that by the segment addition postulate,

[tex]BC+CD=BD \\ \\ 2+2x-6=x+2 \\ \\ 2x-4=x+2 \\ \\ x=6[/tex]

The values of BC = 2, CD = 2x - 6 and BD = x + 2 then the value of x = 6.

The algebraic expression should be any one of the conditions such as addition, subtraction, multiplication, and division.

In mathematics, an algebraic expression exists as an expression built up from integer constants, variables, and algebraic operations. For example, 3x² − 2xy + c exists as an algebraic expression.

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Given: BC = 2, CD = 2x - 6 and BD = x + 2 then

BC+CD= BD

2+2x-6=x+2

Simplifying,

2x-4=x+2

Thus,

x=6

Therefore, the value of x = 6.

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Hello.

sin²x + cos²x = 1

cos²x = 1 - sin²x

secx = 1/cosx

sec²x = tan²x + 1

Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The area within 0.9 standard deviations of the mean is the p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841), hence:

0.8159 - 0.1841 = 0.6318 = 63.18%.

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The blanks are as follows:

By De Moivre's formula, we have the following four roots: [tex]z_{1} = 1.565 \cdot \left(\cos \frac{\pi}{6} + i\,\sin \frac{\pi}{6} \right)[/tex], [tex]z_{2} = 1.565\cdot \left(\cos \frac{2\pi}{3} + i\,\sin \frac{2\pi}{3} \right)[/tex], [tex]z_{3} = 1.565\cdot \left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6} \right)[/tex] and [tex]z_{4} = 1.565\cdot \left(\cos \frac{5\pi}{3} + i\,\sin \frac{5\pi}{3} \right)[/tex].

According to complex analysis, the fourth roots of a complex number can be found by De Moivre's formula:

[tex]\sqrt[n]{z} = \sqrt[n]{r}\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot i}{n} \right)+ i\,\sin \left(\frac{\theta + 2\pi\cdot i}{n} \right)\right][/tex], for [tex]i = \{0, 1, ..., n - 1\}[/tex]     (1)

Where:

First, we find the magnitude and direction of the complex number:

[tex]r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}}[/tex]

r = 6

[tex]\theta = \tan^{-1} \left(\frac{3\sqrt{3}}{-3} \right)[/tex]

[tex]\theta = \frac{2\pi}{3} \,rad[/tex]

Now we find the four quartic roots of the complex number:

[tex]z_{1} = 1.565 \cdot \left(\cos \frac{\pi}{6} + i\,\sin \frac{\pi}{6} \right)[/tex]

[tex]z_{2} = 1.565\cdot \left(\cos \frac{2\pi}{3} + i\,\sin \frac{2\pi}{3} \right)[/tex]

[tex]z_{3} = 1.565\cdot \left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6} \right)[/tex]

[tex]z_{4} = 1.565\cdot \left(\cos \frac{5\pi}{3} + i\,\sin \frac{5\pi}{3} \right)[/tex]

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Use the power rule,

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

with [tex]n=-8[/tex]. It follows by the fundamental theorem of calculus that

[tex]\displaystyle \int_1^7 \frac{dx}{x^8} = -\frac1{7x^7} \bigg|_{x=1}^{x=7} = -\frac17 \left(\frac1{7^7} - \frac1{1^7}\right) = \boxed{\frac17 - \frac1{7^8}}[/tex]

The radius of the cylinder should be approximately 2.040 inches long.

The volume required to store the powder is the sum of the volumes of the cylinder and the cone, whose expression is in this case:

204 in³ = (π/3) · r² · (4 in) + π · r² · h

204 in³ = (4/3 + h) · π · r²

204 in³ = (4/3 + 7 · r) · π · r²

204 = (4π/3) · r² + 7π · r³

7π · r³ + (4π/3) · r² - 204 = 0

The positive roots of the cubic equation are:  

r ≈ 2.040 in

The radius of the cylinder should be approximately 2.040 inches long.

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Answer: (0,1/3)

Step-by-step explanation:

Answer:

The y-intercept of the function f(x) = -2/9x + 1/3 is 1/3.

Step-by-step explanation:

Given, function is

f(x) = -2/9x + 1/3.

The y-intercept is the point where the graph intersects the y-axis.

The y-intercept of a graph is (are) the point(s) where the graph intersects the y-axis.

We know that the x-coordinate of any point on the y-axis is 0.

So the x-coordinate of a y-intercept is 0.

To find the y - intercept set x = 0.

f(0) = (2/9 . 0) + 1/3

f(0) = 0 + 1/3

f(0) = 1/3.

You are expected to lose $ 10 on an average per game

Probability of sum of 7 = 6 / 36

Probability of sum of 7 = 1 / 6

Amount won per game = (1 / 6) × 90

Amount won per game = $ 15

Probability of sum 6 or 8 = 10 / 36

Probability of sum 6 or 8 = 5 / 18

Amount lose per game = (5 / 18) × 90

Amount lose per game = $ 25

Expected earnings = Amount won per game - Amount lose per game

Expected earnings = 15 - 25

Expected earnings = -$ 10

Thus, you are expected to lose $ 10 on an average per game

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Answer:

The ratios are not equal, so this is not a dilation.

Step-by-step explanation:

4/3 is the first ratio

3/4 is the second ratio

Since these ratios are not equal there is not a dilation.

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

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The value of the quotient is - 27

To determine the quotient, first, we have

(1/2)(-27Divided by 1/3) 2/3

Multiply the numerator and denominator

=

[tex] \frac{ - 162}{6} [/tex]

Then divide the numerator by the denominator, we get

= - 27

Thus, the value of the quotient is - 27

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Answer:

73.0 m²

Step-by-step explanation:

[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]

[tex] A = \dfrac{130^\circ}{360^\circ}\pi (8.02~m)^2 [/tex]

[tex] A = 73.0~m^2 [/tex]