The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?

Answer:

60km/hr

Step-by-step explanation:

considering it travels for 6 hours

360 divided by 6= 60km/hr

Hi there! :)

Answer:

[tex]\huge\boxed{y = -1/4, 1/2.}[/tex]

Given the equation:

8y² - 2y - 1 = 0

Find two numbers that multiply into -1 and sum up to -2. Remember, the 8 as the leading coefficient must be taken into account.

After guessing and checking, we get:

(4y + 1) (2y - 1) = 0

Use the Zero-Product Property to solve for y:

4y + 1 =

4y = -1

y = -1/4

--------------

2y - 1 = 0

2y = 1

y = 1/2

Therefore, solutions to this equation are:

y = -1/4, 1/2.

Answer:

[tex] \boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{e}{2} + 7 = 4e}[/tex]

Take L.C.M of 2 and 1

⇒[tex] \sf{ \frac{e + 7 \times 2}{2} = 4e}[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{e + 14}{2} = 4e}[/tex]

Apply cross product property

⇒[tex] \sf{e + 14 = 8e}[/tex]

Move variable to left hand side and change it's sign

Similarly, move constant to right hand side and change it's sign

⇒[tex] \sf{ e - 8e = - 14}[/tex]

Collect like terms

⇒[tex] \sf{ - 7e = - 14}[/tex]

Change the signs of both sides of the equation

⇒[tex] \sf{7e = 14}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7e}{7} = \frac{14}{7} }[/tex]

Calculate

⇒[tex] \sf{e = 2}[/tex]

--------------------------------------------------------

How can we find the L.CM?

The steps for finding L.C.M of the numbers are mentioned below:

Step 1 : First of all find the prime factors of each numbers.

Step 2: Take out the common prime factors. Step 3 : Also take out the other remaining prime factors.

Step 4 : Multiply those all prime factors and obtain L.C.M . If there is not any common prime factors then their L.C.M is the product of the given numbers.

--------------------------------------------------------

In our case , we are going to find out the LCM of 2 and 1.

First, Find all prime factors of 2 and 1

2 = 1 × 2

1 = 1 × 1

Common prime factor = 1

Remaining prime factors = 2 and 1

Multiply them : 1 × 2 × 1 = 2

Hope I helped!

Best regards!!

Answer:

e = 2

Step-by-step explanation:

e/2 + 7 = 4e

e/2= 4e - 7

e = 2(4e-7)

e = 2*4e + 2*-7

e = 8e - 14

14 = 8e - e

14 = 7e

e = 14/7

e = 2

probe:

2/2 + 7 = 4*2

1 + 7 = 8

Answer:

3rd Option

Step-by-step explanation:

Order of Operations: BPEMDAS

When you are multiplying radicals, you multiply the innards while keeping the square root.

Step 1: Write expression

√5(6 - 4√3)

Step 2: Distribute

6(√5) - 4√3(√5)

Step 3: Simplify/Multiply

6√5 - 4√15

Answer:

L(min) = 560 m

Step-by-step explanation:

Dimensions of rectangular area are:  "x" and  "y"

Then x*y = 9800 m²

If this area have to be divided into three parallel pens total length of fencing material would be:

L = 2*x + 4*y

And L as a function of x is

x*y = 9800        ⇒      y = 9800/x

L(x) = 2*x  + 4 * 9800/x         ⇒   L(x) = 2*x  + 39200/x

Taking derivatives on both sides of the equation we get

L´(x) =  2  - 39200/x²

L´(x) = 0     ⇒      2 - 39200/x²   =  0

2*x²  - 39200 = 0

x² = 39200 / 2       ⇒     x²  =  19600

x = 140 m

And   y = 39200/ 140

y  =  70 m

Then minimum length of fence is:

L(min) = 2*140 + 4*70

L(min) = 280  +  280

L(min) = 560 m

Checking in the second derivative:

L´´(x)  =  2*39200/x³    > 0  then we get a minimum of the function L  at the point  x = 140

Answer:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

[tex]c_{1} \approx 157.532[/tex], [tex]c_{2}\approx 36.676[/tex]

Step-by-step explanation:

The Law of Sines states that:

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}=\frac{c}{\sin C}[/tex]

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.

[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Angles opposite to respective sides, dimensionless.

Given that [tex]a = 71[/tex], [tex]b = 104[/tex], [tex]\angle A = 21^{\circ}[/tex], the sine of angle B is:

[tex]\sin B = \frac{b}{a}\cdot \sin A[/tex]

[tex]\sin B = \frac{104}{71}\cdot \sin 21^{\circ}[/tex]

[tex]\sin B = 0.525[/tex]

Sine is positive between 0º and 180º, so there are two possible solutions:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex]

[tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

The remaining angle is obtained from the principle that sum of internal triangles equals to 180 degrees: ([tex]\angle A = 21^{\circ}[/tex], [tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex])

[tex]\angle C_{1} = 180^{\circ}-\angle A - \angle B_{1}[/tex]

[tex]\angle C_{1} = 180^{\circ}-21^{\circ}-31.668^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex]

[tex]\angle C_{2} = 180^{\circ}-\angle A - \angle B_{2}[/tex]

[tex]\angle C_{2} = 180^{\circ}-21^{\circ}-148.332^{\circ}[/tex]

[tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

Lastly, the remaining side of the triangle is found by means of the Law of Sine: ([tex]a = 71[/tex], [tex]\angle A = 21^{\circ}[/tex], [tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex])

[tex]c_{1} = a\cdot \left(\frac{\sin C_{1}}{\sin A} \right)[/tex]

[tex]c_{1} = 71\cdot \left(\frac{\sin 127.332^{\circ}}{\sin 21^{\circ}} \right)[/tex]

[tex]c_{1} \approx 157.532[/tex]

[tex]c_{2} = a\cdot \left(\frac{\sin C_{2}}{\sin A} \right)[/tex]

[tex]c_{2}= 71\cdot \left(\frac{\sin 10.668^{\circ}}{\sin 21^{\circ}} \right)[/tex]

[tex]c_{2}\approx 36.676[/tex]

The answer are presented below:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

[tex]c_{1} \approx 157.532[/tex], [tex]c_{2}\approx 36.676[/tex]

Answer:

9. 6, 2, -2,-6,-10,-14

Step-by-step explanation:

Answer:

n = 12

Step-by-step explanation:

27 = 15 + n

27 - 15 = n

12 = n

Answer:

n= 12

Step-by-step explanation:

27=15+n

15+n=27

n=27-15

n=12

Answer:

The answer is

Step-by-step explanation:

f(x) = 4x - 3

To find f( - 5) substitute the value of x that's - 5 and solve for f(-5)

That's

We have the final answer as

Hope this helps you

Hello, please consider the following.

[tex]\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78[/tex]

For the second we will need to put on the same denominator.

[tex]\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...[/tex]

Thank you.

Answer:

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  [tex]\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}[/tex]

                          =  [tex]21 \times 0.894^{5}\times 0.106^{2}[/tex]

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

Answer:

Step-by-step explanation:

Two groups were tested to compare their speed at working math problems.

Aim/Objective of experiment:

To test their speed (each group and then compare) at working math problems

Control Group:

The group of students computing math problems without a calculator

Experimental Group:

The group of students computing math problems with a calculator

Statistical Hypothesis:

Null hypothesis: Both the control and the experimental group worked math problems at the same pace or speed

Alternative hypothesis: The experimental group worked math problems with a greater speed than the control group

This hypothesis is derived from the thought or knowledge that calculators help solve math problems faster. Your hope would be to refute the null hypothesis and accept the alternative hypothesis; after testing.

Answer:

x = 8.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = 6/x

x cos 44 / 6

x = 6/ cos 44

x=8.340981546

x = 8.3

Answer:

(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Step-by-step explanation:

We have to find the critical t value for each of the following confidence levels and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 17 - 1 = 16

Now, in the t table, the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 12 - 1 = 11

Now, in the t table, the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.99 = 0.01

And the degrees of freedom = n - 1

                                                = 24 - 1 = 23

Now, in the t table, the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 23 - 1 = 22

Now, in the t table, the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.80 = 0.20

And the degrees of freedom = n - 1

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.95 = 0.05

And the degrees of freedom = n - 1

                                                = 9 - 1 = 8

Now, in the t table, the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Answer:

311 days

Step-by-step explanation:

I(t) = 1.5 cos(2π/365 t) + 4.3

5.2 = 1.5 cos(2π/365 t) + 4.3

0.9 = 1.5 cos(2π/365 t)

0.6 = cos(2π/365 t)

2π/365 t = cos⁻¹(0.6)

2π/365 t = 0.927, 5.356

t ≈ 54, 311

Answer:

First time is 54

Second time is 311

Step-by-step explanation:

You plug in the numbers to get the answer.

cos⁻¹(0.6) = 2π/365t

0.927, 5.356 = 2π/365t

t = 54 or 311

Answer:

Step-by-step explanation:

f(x) = 2x + 2

g(x) = x² - 1

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 2x + 2 - [ x² - 1]

(f - g)(x) = 2x + 2 - x² + 1

Group like terms

That's

(f - g)(x) = - x² + 2x + 2 + 1

We have the final answer as

Hope this helps you

Answer:

-x2+2x+3

Step-by-step explanation:

(2x+2)- (x2-1)

2x+2-x2+1

-x2+2x+3

Complete Question

The complete question is shown on the first uploaded image

Answer:

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Step-by-step explanation:

From the question we told that

  The date Margie received her store order is  [tex]D_O = 12/3/16[/tex]

   The time   Margie  received her store order is  [tex]T_o = 4am[/tex]

   The  Date which Margie opened the order is  [tex]Da = 12/7 /16[/tex]

    The  time which Margie opened the order is  [tex]T_a = 12 \ pm[/tex]

   The expatriation date on the BIB is [tex]D_e = 1/17 /17[/tex]

Generally from the question we can deduce that the

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Answer: dont put the time just put in the dates The exp and prep which is the day she received that's all u need to do.

Step-by-step explanation:

Answer:

It is not a function.

Step-by-step explanation:

If the x input or the y output in the given equation have no meaning or does not have any sense, then it will not form a function. We need to see if there are two of the x - intercept which are same. Then the graph will be a straight vertical line. Also the slope of the function cannot be determined.

Step-by-step explanation:

(A) 1 L = 0.00629 barrel

12 L = 0.0755 barrel

(B) 1 ounce = 0.0296 L

65 ounces = 1.922 L

(C) 1 min = 0.000694 day

75 min = 0.05 day

Answer:

3/6^2

Step-by-step explanation:

First option

Answer:

first statement

Step-by-step explanation:

The second, third and fourth statements are false because for any number, the number itself is also a factor. Therefore, the answer is the first statement.

Answer:

work is shown and pictured

Answer: 8008

Step-by-step explanation:

Total entrees = 16

Number of entrees to choose = 6

Since order does not matter , so we combinations .

Number of combinations to choose r things out of n = [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Then, total ways to choose 6 entrees = [tex]C(16,6)=\dfrac{16!}{6!10!}[/tex]

[tex]=\dfrac{16\times15\times14\times13\times12\times11\times10!}{(720)10!}\\\\= 8008[/tex]

Hence, the required number of ways= 8008

Answer:

  $1250

Step-by-step explanation:

The loan can be made for up to ...

  0.80 × $72,250 = $57,800

For a selling price of $73,500, the amount not funded by the loan will be ...

  $73,500 -57,800 = $15,700

This is more than the buyer has saved by ...

  $15,700 -14,450 = $1,250

The buyer will need $1250 in additional funds.

Answer:

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

Step-by-step explanation:

Rewrite the given amount of profits in the number form as follows:

MegaMart: 1.7*10⁹ = 1.7*1,000,000,000 = 1,700,000,000

Vision Cell: 9*10⁸ = 9*100,000,000 = 900,000,000

Ace Motors: 6.2*10⁹ = 6.2*1,000,000,000 = 6,200,000,000

Urban: 4*10⁵ = 4*100,000 = 400,000

Punchbuggies: [tex] 2.7*10^{10} [/tex] = 2.7*10,000,000,000 = 27,000,000,000

Now we can easily order the profits of the companies from greatest to least amount:

Punchbuggies: 27,000,000,000

Ace Motors: 6,200,000,000

MegaMart: 1,700,000,000

Vision Cell: 900,000,000

Urban: 400,000

The answer is C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban.

Answer:

C

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

We know that angle 4 equals angle 2 because corresponding angles are congruent.

So x+30 = 2x+15,

We subtract 15 from both sides,

x + 30 - 15 = 2x + 15 - 15

x + 15 = 2x

Now we subtract x from both sides,

x - x + 15 = 2x - x

15 = x

x = 15 degrees

So we plug this in angle 4,

15 + 30 = 45 degrees

Answer:

For 2x + 5y < 100, x + y < 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)  

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y < 100 ;

ii) x + y < 35

Concerting them to equality conditions

i) 2x + 5y =100.

Intercepts : If y = 0, x = 50. So, (50,0). If x = 0, y = 20. So, (0,20)

ii) x + y = 35. Intercepts :

Intercepts : If y = 0, x = 35. So, (35,0). If x = 0, y = 35 So, (0,35)

From ii), x = 35 - y . Putting the value in i)

2 (35 - y) + 5y = 100 → 70 - 2y + 5y = 100 →  70 + 3y = 100

3y = 100 - 70 →  3y = 30 → y = 30 / 3 = 10

Putting y = 10 in ii) : x = 35 - 10 = 25

Henceworth, vertices are : (50,0) , (0,20) , (35,0) , (0,35)  & intersection (25,0)

Answer:

Correct answers for edmentum & plato:

Step-by-step explanation:

Remember:

x+y+z=60

x=5

y=30

z=15

1:

x=5y=30

5+30+z=60

35+z=60

-35+z=60(-25)

z=25

(5,30,25)

2:

x=5z=15

5+y+15=60

20+y=60

-20+y=60-(20)

y=40

(5,40,15)

3:

y=30z=15 

x+30+15=60

x+45=60

x+-45=60-(45)

x=15

(15,30,15)

4:

(5,30,15)

5+30+15=60

50=60

-50=60-(50)

10 

(5,30,15) Doesn't work

Answer: 16.2

Step-by-step explanation:

8.6 + 2.2 = 10.8

10.8 x 1.2 = 16.2

Answer:

16.2

Step-by-step explanation:

Answer:

NO, it's 6 to 1

Step-by-step explanation:

30/5=6

5/5=1

6:1

Answer:

No because 30:5=6:1 when u expressed, but for 5:1 it could be any number like 30:6 or whatsoever

Step-by-step explanation: