Express the radical using the imaginary unit, i
Express your answer in simplified form.

Answer:

Since the residual is very close to 0 and residual= actual y value so it is 8.

Please give me Brainlest:)

Step-by-step explanation:

From the graph, the range in the viewing window is [-3,3]

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

f(x)= -100|x| + 75

Take few values for x and find corresponding f(x) values

The graph will be symmetrical in nature

It is absolute value function

Example:

when x=0.75

f(x) = -100(0.75)+75

     = -75+75

     = 0

Range is the y values

From the graph, the range in the viewing window  is [-3,3]

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The measure of angle PSR in a kite PQRS, is equals to the 60°.

We have a kite PQRS, present in above figure. The measure of angle QPO = 50°

The measure of angle QRO = 70°

We have to determine the measure of angle PSR. As we see in figure, there is four right angled triangles as ∆POQ, ∆OQR , ∆POS and ∆OSR.

measure of angle POS = measure of angle SOR = 90°

measure of angle SPO = measure of angle QRO = 70° ( Since alternative angles)

Similarly, measure of angle SRO

= measure of angle QPO = 50° ( Alternative angles )

So, measure of angle PSR = measure of angle PSO + measure of angle RSO --(1)

Measure of angle RSO = 180° - measure of angle ROS - measure of angle SRO

= 180° - 90° - 50° = 40°

Also, Measure of angle PSO = 180° - measure of angle POS - measure of angle SPO = 180° - 90° - 70° = 20°

So, from equation (1),

measure of angle PSR = measure of angle PSO + measure of angle RSO

= 40° + 20°

= 60°

Hence, required measure of angle is 60°.

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Complete question:

The above figure completes the question. In kite PQRS, measure of angle QPO=50° and measure of angle QRO=70°. Find measure of angle PSR.

The value of the expression is -5/6.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6).

Solving further with the help of PEMDAS,

7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6)

= 7/15 - 6/45 - 35/30

= (42- 12 - 105)/90

=  -75/90

= -5/6

Therefore, the value is -5/6.

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We can conclude for the pair of number (a, b), where {b > a} -

Given is a pair of numbers.

Since the numbers are not given, assume the pair to be (a, b).

Let -

{b} = x% of {a}

{b} = {x/100} x {a}

x =  (100b/a)

Now, we can write {b} is (100b/a)% of {a}.

Then, we can write that {a} will be {100 - 100b/a}% less than {b}.

Therefore, we can conclude for the pair of number (a, b), where {b > a} -

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Answer:

18 Kg

Step-by-step explanation:

We can use algebra to solve for the mass, m, given the delivery price, $70.

Starting with the formula:

price ($) = 7 + 3.5m

We can substitute $70 for price ($) and solve for m:

$70 = 7 + 3.5m

Subtracting 7 from both sides:

$63 = 3.5m

Dividing both sides by 3.5:

m = 18

Therefore, the mass of the parcel is 18 kg.

The Length of wheel chair ramp should be 54.94 feet.  as we calculated this by given height of ramp is 5 feet and angle of elevation is 5.22 degree.

Here it is given that the height of ramp from ground is 5 feet and angle of elevation is 5.22 degree .Now we can see that this is a height and distance question. For that we have to use trigonometric ratio. And all trigonometric ratio are the angle of right angle triangle so here we have to find tangent of angle

so tanФ = perpendicular /base

and in this question the perpendicular is 5 feet and and the base we have to find and angle 5.22 degree.

let the length of ramp is  = y and then put the value on formula we have

tan 5.22 = 5/y

y = 5/(tan5.22) = 5/0.091 =54.94

The length of wheel chair ramp is  54.94 feet .

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Using the formula of Interest I = PRT and given values the value of P is $5250.

Interest is the sum over and above the original amount (the amount borrowed) that is paid to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. Interest differs from profit, in that interest is received by a lender, whereas profit is received by the owner of an asset, investment or enterprise.

Given that, the formula is I = PRT

I = $7140, R = 0.17, T = 8

To find the value of P, from the formula

7140 = P * 0.17 * 8

⇒ 7140 = P * 1.36

divide both sides with 1.36 we get

⇒ 7140/1.36 = P

⇒ P = $5,250

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Answer:

[tex]a^4b^{-5}\text{ or }\frac{a^4}{b^5}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}[/tex]

The wave amplitude was A =  15849 Ao times stronger the wave amplitude of the earthquake was than Ao.

The formula to solve this is given as

K = log (A / Ao)

Where we have k to be the constant that is measured on the richter scale as 4.2

Then when we put this in the formula, we would have:

4.2 = log (A / Ao)

take the log of both sides of the equation

[tex]10^4^.^2 = \frac{A}{Ao}[/tex]

15848.9 approximately 15849

15849 = A / Ao

cross multiply to get the value of A

A =  15849 Ao

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Answer:

The total number of counters in the bag is 150.

Step-by-step explanation:

There are 90 red counters and the ratio of red to blue is 3:5, which means that for every 3 red counters there are 5 blue counters. Thus, 90 red counters would mean that there are 5/3 times as many blue counters, or 150/3 = 50 blue counters. Therefore, 90 red counters + 50 blue counters = 150 counters in total.

Answer:

(f + g)(x)= -x + 6.

Step-by-step explanation:

The sum of two functions, f(x) and g(x), is given by (f + g)(x) = f(x) + g(x).

So, for f(x) = 4x + 6 and g(x) = -5x,

(f + g)(x) = f(x) + g(x) = (4x + 6) + (-5x) = -x + 6.

The result is a linear function and is already in the simplest form, so it cannot be further simplified.

The distance from point A to point B is 313.6 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information AB = AC - BC.

We know, tan = opposite/adjacent.

tan12° = 150/AC.

AC = 150/0.213.

AC = 704.23.

Again,

tan21° = 150/BC.

BC = 150/0.384.

BC = 390.63.

Therefore, AB = 704.23 - 390.63 = 313.6 feet.

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Answer:

4

Step-by-step explanation:

3*9=9(x-1)

x-1=3

x=4

Answer:

  See attached

Step-by-step explanation:

You want the numbers for quotient, dividend, and remainder in the area model of 49÷3.

The number in each rectangle is its area, which is the product of the divisor on the left and the quotient at the top. These can be considered the length and width of the rectangle. The rectangle area is their product.

The remainder is put in the box at upper right. It is a value that is smaller than the divisor on the left.

The line at the bottom summarizes the division. The quotient is the sum of the quotient values at the top of the model, and the remainder is what's left over: the number that is too small to divide further.

Kweku would save $180 in a year buying electricity for the Desla electric compared to buying gas for the Deswagon.

To make up for the higher sale price,

it will take him more than 66 years.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

Deselectric costs $11900 more than the Deswagon.

Unit cost:

Deselectric: $0.11 per mile.

Deswagon: $0.12 per mile.

Kweku drives about 18,000 miles a year.

That means

the cost for each car;

Deselectric: 18000 x 0.11 = $1980

Deswagon: 18000 x 0.12 = $2160

The more cost is,

= $2160 - $1980

= $180 of savings in a year.

Now, the make-up for the higher sale price,

= 11900/180

= 66.11 in years.

Therefore, it will take him more than 66 years.

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The equations that represent direct proportion are

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

The list of options

A proportional linear equation is represented as

y = kx

Where

The constant of proportionality is k

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

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The mean height of the hexagon is 21.33 in.

To find the length of the sides of a regular hexagon with a perimeter of 372 inches, you must divide the perimeter by 6. This gives you a result of 62 inches for the length of each side. The other steps are:

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Refer to the attached image.

The equation of the horizontal asymptote will be y = -2.

An asymptote is a line that constantly reaches a given curve but does not touch at any infinite distance.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

From the graph, the horizontal asymptote is parallel to the x-axis and the equation of the horizontal asymptote is given as,

y = - 2

The equation of the horizontal asymptote will be y = -2.

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You would expect a total of 2560 extra credit points to be rewarded (rounded to the nearest integer).

You must multiply the total number of extra credit points awarded by the number of pupils in order to find the answer to this question.

The equation would be as follows, assuming that each student receives the same number of extra credit points:

Total Extra Credit Points = Amount of Extra Credit Points per Student * Total Amount of Students

Therefore, in this case, the total amount of extra credit points to be rewarded would be:

Total Extra Credit Points = 10 * 256 = 2560

Therefore, If all 256 students from the in-person and online STA 381 classrooms choose to participate in the game, you can anticipate receiving a total of 2560 extra credit points (rounded to the nearest integer).

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The juice is 27 and the tornadoes are 21.

An equation is a mathematical statement that shows that two expressions are equal by using an equal sign (=). Equations are used to find the value of an unknown variable or to show the relationship between variables.

We know that the number of the juice and the tornadoes can be x and y

We then have that;

5x + 3y = 24 ----- (1)

4x + 2y = 30 ----- (2)

Multiply equation 1 by 4 and equation 2 by 5 we have that;

20x + 12y = 96 ---- (3)

20x + 10y = 150 ----- (4)

Subtract (3) from (4)

-2y =54

y = -27

Then;

5x + 3(-27) = 24

x = 21

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Answer:

Step-by-step explanation:

Use SOH CAH TOA.

Using TOA or tangent = tan0 = opp/adj.

tan0 = 1500m/800m  ->  tan0 = 1.875

Use inverse tan or tan^-1.

0 = tan^-1(1.875)

0 = 61.93 degrees.

Answer:

See below

Step-by-step explanation:

If we increase the sample size, we will decrease the margin of error, creating a smaller interval. This is why option C is the most appropriate answer!

Answer:

32cm

Step-by-step explanation:

Let x represent the width

if the width = x

therefore the length = x+8

The perimeter = 72cm

[tex]x + x + 8 = 72[/tex]

[tex]x + x + 8 - 8 = 72 - 8[/tex]

[tex]x + x = 64[/tex]

[tex]x + x = 2x[/tex]

[tex]2x = 64[/tex]

[tex] \frac{2x}{2} = \frac{64}{2} [/tex]

[tex]x = 32[/tex]

Answer:

18cm

Step-by-step explanation:

wide = 8cm + length

perimeter = 2(L + B)

The area of the triangle is 11.55 square meters.

The correct option is B.

The polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A triangle is given.

The height of the triangle = 5.5 meters.

The base of the triangle = 4.2 meters.

The area of the triangle = 1/2 x base x height

The area of the triangle = 1/2 x 4.2 x 5.5

The area of the triangle = 11.55 square meters.

Therefore, area is  11.55 square meters.

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The probability that at least two of the four cards dealt have the same numeric value (1 through 20) is approximately 0.907.

To calculate the exact probability, we need to consider the different ways that two or more cards could have the same numeric value. If two cards have the same numeric value, there are 19 ways to choose that value and 2 ways to choose the two cards with that value. The probability of this happening is 19 * (2 / 20 * 19 / 19) * (18 / 18 * 17 / 18) * (16 / 17 * 16 / 17) * (15 / 16 * 15 / 16) = 19 * (1/190) = 0.1.

Similarly, we can calculate the probability of three or four cards having the same numeric value. Adding these probabilities, we get an estimate of 0.907 for the probability that at least two of the four cards dealt have the same numeric value.

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Answer: 506,150

First we must divided 0.9 into 530,000 to find out how much of the population will decrease each year.

0.9% of 530,000 is 4770. Which means that each year, 4,770 people will move the District of Columbia. From 2010 to 2015, that is 5 years, which means that we have to multiply 4,770 by 5.

4770 x 5 is 23850.

Next we have to subtract the amount of people who moved.

530,000- 23,850 is 506,150

This means by 2015, the expected population will be 506,150 in the District of Columbia.

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