A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?

Answer:

that makes no sense call your teacher for helpy

Answer:

it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.

Step-by-step explanation:

I got it right on the test.

Answer:Yoo the anser is A

Step-by-step explanation:

for the makeupo math corse

-(f + g)(x)  3 for all values of x

Answer:

300

Step-by-step explanation:

Multiply the length which is 30 cm by 10 to give you the length in mm.

Answer:

0.3

Step-by-step explanation:

Answer: r= 0.972

Step-by-step explanation:

Answer:

a trigong i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

256

Answer:

256

Step-by-step explanation:

16 x 16=256

Answer:

B

Step-by-step explanation:

(x) -7+3=-4

(y) 4-2=2

(-4,2)

Answer:

3/2

Step-by-step explanation:

Let x be the unknown number.

If twice a number added to 3:  2x+3

is divided by the number plus 3:  (2x+3)/3

the result is three halves:  (2x+3)/3 = 3/2

(2x+3)/3 = 3/2

Multiply both sides by 3:

2x + 3 = 9/2

Subtract 3 from both sides:

2x = 9/2 - 3 = 9/2 - 6/2 = 3/2

Divide both sides by 2:

x = 3/4

Check:

(2x+3)/3 = 3/2

(2*(3/4)+3)/3 = 3/2

(6/4 + 3)/3 = 3/2

(18/4)/3 = 3/2

6/4 = 3/2

3/2 = 3/2

Check!

Answer:

2) $25

3) $-110

4) $-50

Step-by-step explanation:

The names of the vertices (or corners) are the letters next to them. However you may need to write the plot points, so you would look at the left side or the    y axis and count where the dot is as a number. Lets say its D. D is 4 on the y axis. Then you would go straight down to find the x axis. It is right over three. than you would write it with the x axis ALWAYS first. So D is (3,4).

Hope it helped

Answer:b

Step-by-step explanation:

Answer:

4(s+3)

Step-by-step explanation:

If you distribute 4 among the parentheses, it will be equal to s+s+s+s+12.

4(s+3)=4s+12=s+s+s+s+12

Hope this helps! Have a nice day <3

Answer:

I think the answer is 2y + 3x = -4 but I think is wrong.

Step-by-step explanation:

you just move the numbers to the opposite side.

Answer:

50%

Step-by-step explanation:

there are 12 total, half are green

Answer:

Outcomes are { L, RL, AL, RAL, ARL }

Associated X values are { 1, 2, 2, 3, 3 }

Step-by-step explanation:

As given,

left  = (L),

right = (R)

goes straight ahead  = (A)

Now,

The Sample space become = { L, RL, AL, RAL, ARL }

In L -

Number of cars = 1

In RL-

Number of cars = 2

In AL-

Number of cars = 2

In RAL-

Number of cars = 3

In ARL-

Number of cars = 3

Step-by-step explanation:

Option c shows line segment because it has no arrow marks

Answer:

50%

Step-by-step explanation:

the increase is 60 so divide that by the original number; 60/120=0.5

now we have to change the decimal to a percent. multiply by 100 to do that and we get 50%.

Answer:

Step-by-step explanation:

[tex]\Delta \%=100\left(\frac{final-initial}{initial}\right)\\ \\ \Delta \%=100\left(\frac{180-120}{120}\right)\\ \\ \Delta \%=100\left(\frac{60}{120}\right)=50\% [/tex]

Answer:

(5,53°) or (5,53.13010235°) if you want an exact value.

Step-by-step explanation:

Polar coordinate is in [tex]\displaystyle{(r,\theta)}[/tex] form and rectangular coordinate is in [tex]\displaystyle{(x,y)}[/tex] form.

To convert from rectangular coordinate to polar coordinate, you’ll have to know that:

[tex]\displaystyle{x=r\cos \theta}\\\displaystyle{y=r\sin \theta}[/tex]

Above is crucial when it comes to converting from rectangular coordinate to polar coordinate, or other way around. The thing is to convert from rectangular to polar, you’ll also have to know radius too which you can find by:

[tex]\displaystyle{r=\sqrt{x^2+y^2}}[/tex]

We know that x = 3 and y = 4, substitute in the formula:

[tex]\displaystyle{r=\sqrt{3^2+4^2}}\\\\\displaystyle{r=\sqrt{9+16}}\\\\\displaystyle{r=\sqrt{25}}\\\\\displaystyle{r=5}[/tex]

We know that radius is 5. We will have to find the theta next, first substitute in the conversion:

[tex]\displaystyle{3=5\cos \theta}\\\displaystyle{4=5\sin \theta}[/tex]

Since this can generally be found through calculator as it’s not a part of special triangle - can be found using hand method - The approximation of both theta’s values are 53°.

Hence, the polar coordinate is (5,53°) or (5,53.13010235°) if you want an exact value.

Answer:

this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

¯\_(ツ)_/¯

Answer:

Negative exponents are a way of writing powers of fractions or decimals without using a fraction or decimal. You use negative exponents as a way to combine expressions with the same base, whether the different factors are in the numerator or denominator. It’s a way to change division problems into multiplication problems.

Step-by-step explanation:

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

Slope = m  & y-intercept = b

x - 5y = 15

   -5y = -x + 15

      y = [tex]\frac{-1}{-5}x + \frac{15}{-5}\\\\[/tex]

[tex]y = \frac{1}{5}x - 3[/tex]

so, slope = 1/5   ; (-5 , 7)

y -y1 = m(x -x1)

[tex]y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8[/tex]

Answer: Believe you can and you're halfway there

Have a great day!

I don’t have the answer but I’m just spreading positivity.

Answer:

4 quotient and 1 is estimate you don't have to thank me later

Answer:

2. 12 x 5

60

3. 10.8+10.8+5.1+5.1

31.8

hope it helps

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : π ≥ 0.92

H1 : π < 0.92

At α = 0.05

Left tail

Z0.05/2 = Z0.025 = - 1.645

The test statistic

Zstatistic :

(m - p) / σ

Sample size, n = 85

m = 74/85 = 0.87

p = 0.92

σ = sqrt(p(1 - p) /n)

σ = sqrt(0.92(1 - 0.92) / 85)

σ = sqrt(0.0008658)

σ = 0.0294258

σ = 0.0294

Zstatistic :

(m - p) / σ

(0.87 - 0.92) / 0.0294

Zstatistic = −1.700680

Zstatistic = - 1.70

Decision region :

Reject H0: if ;

Zstatistic < Zcritical

-1.70 < - 1.645

Since,

Zstatistic < Zcritical ; then Reject H0.