A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B) Graph the total daily cost for 0≤x≤ 200.
(C) Interpret the slope and y intercept of the cost equation.
(A) C =
(Simplify your answer. Use integers or fractions for any numbers in the oxpropion

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

are eliminated. The remaining triangles are four in number.

QED.

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Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

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Answer:

see explanation

Step-by-step explanation:

a translation of 4 squares right means add 4 to the x- coordinate

a translation of 2 squares down means subtract 2 from the y- coordinate

then

(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )

(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )

(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

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Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

Answer:

2,114,400

Step-by-step explanation:

35,250 x 60 = 2,114,400

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

Answer:

Range = 1 1/4

Step-by-step explanation:

Range = Maximum - Minimum

Arranging the data in ascending order :

Solving for range :

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000

The value of x  in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)°  =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

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Answer:

[tex]6 \sqrt{14} + 84[/tex]

Step-by-step explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84

6√14 + 84

or

106.449944321

Step-by-step explanation:

have √7 behave like a variable like x

have √4 behave like a variable like y

3√7(2√2+4√7)

(3√7*2√2)+ (3√7*4√7)

6√14 + (12*7)

6√14 + (84)

6√14 + (6 * 14)

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

(again, assuming a normal distribution).

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On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.

When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.

If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;

= 30000/6

= 5000kg

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Answer:

c is the answer to the question

The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

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In other words,  x = 4 and y = 1

==============================================

Explanation:

Add the equations straight down.

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

Answer:

80 maybe no ummm udk sorry I might

Step-by-step explanation:

I got you I think

Answer:

Left one: 27.755 Right one: 3487.5

Step-by-step explanation:

You have to use sin of angle to find the area.

Answer:

[tex]C)~ 7~ \text{units}.[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1,z_1) = (0,-2,0)~ \text{and}~ (x_2,y_2,z_2) = (3,0,-6)\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3-0)^2 + (0+2)^2 +(-6-0)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{3^2 +2^2 +(-6)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{9+4+36}\\\\~~~~~~~~~~~~~~~=\sqrt{49}\\\\~~~~~~~~~~~~~~~=7~ \text{units}.[/tex]

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

= 130 km

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

= 130 + 255

= 385 km

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

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

A real life example of an acute angle is the angle that's made in letter V.

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

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The correct answer is option A which is x = 3.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] = 64

We can write 64 as [tex]16^{\dfrac{3}{2}}[/tex]

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] =   [tex]16^{\dfrac{3}{2}}[/tex]

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

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Answer:

A. x=3.

Step-by-step explanation:

Edge 2022.

Answer:

A

Step-by-step explanation:

Thats how the mean works lol

Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides

(3-2)180

=180°

So

[tex]72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43[/tex]

The sum of an interior and exterior angle equals to 180°

According to this

[tex]y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137[/tex]

Hope it helps

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