10.
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:

graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero


If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model? (1 point)
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

First, expand the terms inside the bracket you will get

[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]

[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]

Answer:

a=5

b=3

Step-by-step explanation:

a+b=8

a-b=2

2a=10

a=5

b=3

Answer:

5 and 3

Step-by-step explanation:

Sum is addition

Difference is subtraction

5 + 3 = 8 which means the sum of these 2 numbers is 8

5 - 3 = 2 which means the difference of these 2 numbers is 2

Answer:

Step-by-step explanation:

[tex]\boxed{\text{Area of triangular prism = length*(a+b+c) + 2*base area}}[/tex]

Here a, b,c are the sides of the triangle.

a = 14 cm ; b = c = 25 cm  and length = 10 cm

[tex]\boxed{\text{Base area=2*$\dfrac{1}{2}*base*height$=base *height}}[/tex]

base = a = 14 cm & h = 24 cm

Base area = 14*24

               = 336 cm²

Total surface area = 10*(14+25+25) + 336

                              = 10*64 + 336

                             = 640 + 336

                             = 976 cm²

Answer:

The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

Absolute value of any number is simply the distance of that number from point zero (0) on a number line.

Thus,

-6 is 6 units from 0.

6 is also 6 units away from 0.

-5 is 5 units from 0.

5 is also 5 units from 0.

The absolute value of -5 is 5.

The absolute value of -6 is 6.

Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

Learn more here:

brainly.com/question/17297316

Step-by-step explanation:

Answer:

I dont see a cube but...

Step-by-step explanation:

A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.

A=6a2

Answer:

north market, .44

Step-by-step explanation:

Answer:60

Step-by-step explanation:

18 x 100= 1800. 1800/30= 60. 60 x %30= 18

The number of cookies in the bag is A = 60

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Now , 30 % of the cookies in the bag = 18 cookies

On simplifying the equation , we get

( 30 / 100 )A = 18

Multiply by 100 on both sides , we get

30A = 1800

Divide by 30 on both sides , we get

A = 1800/30

A = 60 cookies

Hence , the number of cookies is 60

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

B, C, E

Step-by-step explanation:

Exponent Rules

[tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]a^n \cdot b^n=(ab)^n[/tex]

[tex]a^0=1[/tex]

[tex]\dfrac{1}{a^b}=a^{-b}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]

[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]

[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]

[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]

[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]

[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]

Check one by one

#A

[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]

#B

[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]

#C

[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]

#d

[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]

#e

[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]

#f

[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]

[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]

[tex]\\ \rm\Rrightarrow 42^5[/tex]

ANSWER: Solve for volume

V≈79.26m³

Answer:

69.6 70 to the nearest cent

Step-by-step explanation:

I don't know how to explain

The answer is D :) YW!

Answer:

28.3 ft²

Step-by-step explanation:

Area = πr²

A = π × 3²

A = 28.2743339 = 28.3 ft²

Answer:

-7 and -5

Step-by-step explanation:

Because Im smart not gonna lie.

Answer: yellow is 5/15 = 1/3

Blue chip is 4/14 = 2/7

1/3 × 2/7 = 2/ 21

Answer0.095 = 0.10

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Step-by-step explanation:

It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.

An equation usually consists of equality of two mathematical expressions. Let it be

A = B

. If we take them to be equal to third variable, then:

A = B = C

type of equation is obtained.

We can then take it as a system of two equations as:

A = C\\ B=C

The solution to this system will give us the solution to the considered equation.

The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

Given that 2x + 1 : x + 2 = x+8 : 3x-4

First we have to same the bases.

As we know [tex]8=2^3.[/tex]

[tex]2^{3x}=2^{3(2x+1)}.[/tex]

Now 3x=3(2x+1) distribute 3 by the Barker.

[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]

Learn more about equations here:

https://brainly.com/question/26254258

#SPJ2

Answer:

16:80

Step-by-step explanation:

80 people * ( 1 pineapple / 5 people) = 16

Answer:

(-8, 2)

Step-by-step explanation:

1. Set up the equations.

y = 1/2x + 6

y = -3/4x - 4

2. Set the equations to equal each other.

1/2x + 6 = -3/4x - 4

3. Move the variables to one side and the numbers to the opposite side.

6 + 4 = -3/4x - 1/2x

10 = -3/4x - 2/4x

10 = -5/4x

4. Divide 10 by -5/4.

10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)

10 * -4/5 = -40/5 = -8

x = -8

5. Plug in the x-value into one of the equations.

y = 1/2x + 6

y = 1/2(-8) + 6

y = -4 + 6

y = 2

OR

y = -3/4x - 4

y = -3/4(-8) - 4

y = 6 - 4

y = 2

Answer: 49 degrees

Step-by-step explanation:

Beta minus decay has to do with the loss of an electron.  The superscript on the daughter nucleus is 131 while the subscript  is 54;

The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.

The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The  daughter nucleus here is Xe while the parent nucleus is I.

Learn more about beta decay: https://brainly.com/question/25455333

Answer:

The superscript of xenon is 131

The subscript of the electron is -1

Step-by-step explanation:

Answer:

Plow - is used for tilling largefurrows and inter row cultivation. WhTractor - Used to pull disc plow and disc harrow in preparing much bigger area of land Down is used for cleaning the ground and leveling the topsoil Barrow - is used for hauling trash, manures, fertilizers, plant

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

Additional comment

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

Answer:

18 cm

Step-by-step explanation:

4+5+4+5=18

or

2(a+b)

2(4+5)

2(9)

18

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of  (6010)(1/6)10∗(5/6)50≈13.7% .