For a computer company, the cost to produce one PC is $1410 plus a one-time cost of $125,000 for research and development. The revenue from selling one PC is $1984. How many PCs must they sell to make a profit?

Mean measure of central tendency is the most affected by outliers. Then the correct option is B.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Mean measure of central tendency is the most affected by outliers.

Then the correct option is B.

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Answer:

12 ft

Step-by-step explanation:

We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5.  Let's call the other leg is X. We don't know which leg is which so assume both. Then

(a) assume the X leg is the longer

8 / 7 = X / 10.5

(8 * 10.5) / 7= X

X = 12

OR (b) assume the X leg is the shorter

8/7 = 10.5 / X

(8X / 7) = 10.5

8X = 10.5 * 7

8X =  73.5

X = 9.1875

(a) is the greater so (a) wins

Answer:

Circumference: 25.12m

Area: 50.24 [tex]m^{2}[/tex]

Step-by-step explanation:

Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius

C=3.14*2*4=3.14*8=25.12

Formula for area of a circle: A=[tex]\pi r^{2}[/tex]

A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24

Answer + Step-by-step explanation:

CE bisects AB

CE ⊥ AB

Then

CE is the perpendicular bisector of AB.

Therefore

CA = CB and DA = DB

…………………………………

we have :

CA = CB

DA = DB

CD is a common side of the two triangles ACD and BCD

Hence , ΔACD ≅ ΔBCD

⇒ ∠CAD ≅ ∠CBD.

Finding the correlation coefficient, it is found that the regression line shows a:

negative trend line with a strong relationship.

Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is of -0.85, which is negative and strong.

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Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is -0.85,

The table contains data for six students in a running club: time run in minutes, x, and the corresponding average speed in mph, y.

Finding the correlation coefficient, it is found that the regression line shows a: negative trend line with a strong relationship.

It is an index that measures the correlation between two variables, assuming values between -1 and 1.

If it is positive, the relationship is positive, that is, they are directly proportional. If it is negative, they are inversely proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

Inserting the values of a table, the x-values as 25, 28, 30, 31, 33, 40, and the y-values as 7.5, 6, 5.5, 5, 4.5, 4.5, the coefficient is -0.85, which is negative and strong.

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Answer:

she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda

The graph that could represent the motion of the apple is graph B.

A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.

Here, the speed of apple at time t is given by v=0 + at which is a straight line of slope a that passes through origin because constant is zero. At time t=0 its initial speed is 0 and it will increase constantly with time. Therefore, graph (B) is correct

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Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

[tex] \rm \: Diameter = 2(r)[/tex]

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Answer:

Step-by-step explanation:

To solve this question, we can use the formula [tex]S=\theta r[/tex], where [tex]S[/tex] is the arc length, [tex]\theta[/tex] is the central angle of the sector in radians, and [tex]r[/tex] is the radius.

In this situation, we know that [tex]S=55[/tex] and [tex]\theta=5[/tex]

This means that [tex]55=5r \longrightarrow \boxed{r=11}[/tex]

Answer:

x = 3

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve for x.

The value of x is 3.

We can plug it back in to check if it works.

Correct!

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

9 - 2(x - 5) = x + 10

Distribute

9 - 2x + 10 = x + 10

Subtract 10 to both sides

9 - 2x = x

Add 2x to both sides

9 = x + 2x

9 = 3x

Divide 3 to both sides

9/3 = 3x/3

3 = x

OR

[tex]\rule[225]{225}{2}[/tex]

Translating the given phrase into a variable expression is equal to k - 2.

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

Answer:

g(x) = 1/3 • |x|

Step-by-step explanation:

To stretch a parent function, you multiply by whatever you want to stretch it with. If you multiplied by 3, it would be a vertical stretch... if you multiplied by 1/3, it makes it horizontal.

Hope this helps!

Answer:

Step-by-step expiation : 5575.3

Answer: [tex]\angle A+\angle D=180^{\circ}[/tex]

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

When Leonardo and his wife file married filing jointly in 2021, the average tax rate will be 15.63 percent

In the question above, Leonardo's taxable income = $80,000

Theresa's taxable income = $15,000

Total taxable income for both of them will be:

$ 80,000 + $ 50,000 = $ 130,000

When you make use of the Schedule Y-1,

The amount of the tax on total income shall be said as:

Tax liability = $9,086 + (($130,000 - $78,950) * 22%)

= $9,086 +($51,050 * 22%)

= $9,086 + $11,231

= $ 20,317

To get the Effective tax rate, it will be:

= tax liability / Total taxable income Effective tax rate

= [tex]\frac{20,317}{30000}[/tex]  that is also written as $20,317/ $130,000

So, the  average tax rate is = 15.63%

Therefore, the average tax rate will be = 15.63 percent

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im not in collage but I'll try ok so its most likely

Factor then solve to find the complex solutions.

x=2πn, for any integer n

if i was right could i get brainly?

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

Given that;

Since a regular hexagon can be divided into six equal triangle, we will determine the area of a single triangle and then multiply the area by 6 to get the area of the regular hexagon.

Angle of one triangle in the regular hexagon = 360°/6 = 60°.

To determine the height, we divide the triangle into two equal half, making a right angled triangle with hypotenuse 4in, Base 4in/2 = 2in.

We find the perpendicular height using Pythagoras theorem

h = √( (4)² - (2)² )

h = √( 16 - 4 )

h = √( 12 )

h = √( 2² × 3 )

h = 2√3

Now, we determine the area of a single triangle.

Area = (1/2) × base × height

Area = 0.5 × 4 × 2√3

Area = (4√3)in²

Now, to get the area of the regular hexagon, we multiply the area of the triangle by 6

Area of regular hexagon = 6 × (4√3)in²

Area of regular hexagon = 24(√3)in²

Area of regular hexagon = 41.57in² ≈ 42in²

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

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Answer: b

Step-by-step explanation:

Answer:

(5*10^3)*(9*10^7) = 4.5*10^11

(7*10^5) / (2*10^2) = 3.5*10^3

Step-by-step explanation:

calculate 5 multiply by 9

5*9=45

the multiple of the power in the same base of number is calculated by using addition(+)

(10^3)*(10^7) = 10^(3+7)

= 10^10

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

45*(10^10)

= (4.5*10^1) * (10^10)

= 4.5*10^(1+10)

= 4.5*10^11

calculate 7 divide by 2

7/2=3.5

the dividing of the power in the same base of number is calculated by using subtraction(-)

(10^5)/(10^2)

= 10^(5-2)

= 10^3

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

3.5*10^3

Answer:

Step-by-step explanation:

(5×10³)×(9×10⁷)

= 5×10³×9×10⁷

= 5×9×10³×10⁷      (commutative property)

= (5×9)×(10³×10⁷)  (associative property)

= 45 × 10³⁺⁷

= 45 × 10¹⁰.           (Exponent property)

= 4.5 × 10¹¹

…………………………………………

(7×10⁵) / (2×10²)

= (7/2) × (10⁵/10²)

= 3.5 × 10⁵⁻²

= 3.5 × 10³

well, the total amount of technicians employed is 100% and that is "x" amount, now, we also know that 3% of of that is 10800, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 10800& 3 \end{array} \implies \cfrac{x}{10800}~~=~~\cfrac{100}{3} \\\\\\ 3x=1080000\implies x=\cfrac{1080000}{3}\implies x=360000[/tex]

Answer: 9

Step-by-step explanation:

By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]

Answer:

The approximate population of bacteria in the culture after 10 hours is 93,738.  

Step-by-step explanation:

BPEMDAS Order of Operations:

We are given the following Exponential Growth Function (Doubling Time Model), [tex]\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}[/tex] where:

Step 1: Identify the given values.

Step 2: Find value.

1. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}[/tex]

2. Evaluate using the BPEMDAS order of operations.

  [tex]\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}[/tex]

 [tex]\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}[/tex]

Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.  

We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.

1. Identify given:

2. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}[/tex]

3. Divide both sides by 9,300:

  [tex]\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}[/tex]

4. Transform the right-hand side of the equation into logarithmic form.

  [tex]\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}[/tex]    

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]  

5. Take the log of both sides of the equation (without rounding off any digits).  

  [tex]\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}[/tex]

6. Divide both sides by (0.301029996).

  [tex]\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}[/tex]

7. Multiply both sides of the equation by 3 to isolate "t."

  [tex]\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}[/tex]

  [tex]\boxed{\displaystyle\mathsf{t\approx10}}[/tex]

Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.    

__________________________________

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Answer:

-12

Step-by-step explanation:

What you have to do is plug -4  into the function as a puzzle. So, replace all x with -4.

f(-4) = 7(-4) - 4(-4) = -28 + 16 = -12

f (-4) = 7x ( 1-4 ) - 4 (-4)

       = -28 + 16

      = -12

An equation is a mathematical statement this is made from two expressions related by an equal sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.

A declaration of the equality of mathematical expressions. An expression representing a chemical reaction by using chemical symbols. equation.

Conclusion: There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.

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The graphed cosine function can either be:

cos(x + pi) or cos(x - pi).

We know that this function is a cosine function with a phase shift, so the general form is:

f(x) = cos(x + P).

Where P is the phase shift.

In the graph we can see that when x = 0, f(0) = -1

And we know that cos(pi) = -1 = cos(-pi)

Then we must have that:

f(0) = cos(P) = -1

By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:

f(x) = cos(x + pi).

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Step-by-step explanation:

x = earnings from the store

y = earnings from the college

x + y = 67,250

x = 3y + 1,250

now we use the identity of the second equation in the first equation :

(3y + 1,250) + y = 67,250

4y = 66,000

y = $16,500

x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =

= $50,750

The slope formula along with coordinates of points ( p,q) and (x,y) [tex]m = \dfrac{y-q}{x-p}[/tex].

A slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When the slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to the amount we walk or run on the horizontal axis, the more the slope is.

The slope of a line that passes through points ( p,q) and (x,y)

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

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Answer:

1.64

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6.6^2 + x^2 = 6.8^2

43.56+x^2=46.24

Subtract 43.56 from each side

x^2 = 46.24-43.56

x^2 =2.68

Take the square root of each side

sqrt(x^2) = sqrt(2.68)

x =1.637080554

To 3 significant digits

x = 1.64

Answer:

Step-by-step explanation:

       x = 1.637 mm

        We can use Pythagorean theorem, to find the unknown side for a right angled triangle.

The side opposite to 90 is the longest side and it is the hypotenuse.

Base² + altitude² = hypotenuse²

 x²     + 6.6²        = 6.8²

      x²  +  43.56  = 46.24

                     x²   = 46.24 - 43.56

                    x²    = 2.68

                      x   = √2.68

                      [tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]

Answer:

the class earned $722059884

Step-by-step explanation:

because each person sold 444 tickets and there was 232323 students

=232323×444

=103151412

because 103151412 tickets were sold and a ticket cost $7

=103151412×7

=722059884

Based on the calculations below, the weekly gross pay of John Pelson is $1,339.90.

Let G represents weekly gross pay. The gross pay can now be calculated as follows:

Net pay = G – FIT – SIT – CIT - Health insurance – Charity ……………….. (1)

Substitute all the relevant values into the equation (1) and solve as follows:

$972.11 = G – $185.00 – 0.05G – 0.02G – $64.00 – $25.00

$972.11 + $185.00 + $64.00 + $25.00 = G – 0.05G – 0.02G

$1,246.11 = (1 – 0.05 – 0.02)G

$1,246.11 = 0.93G

G = $1,246.11 / 0.93

G = $1,339.90

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