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John's water bill this month was $19.67. Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?

Answer:

3

Step-by-step explanation:

3x - 1 < 8

Solve this inequality like a two-step equation.

Add 1 to both sides to cancel the -1.

3x - 1 < 8

3x < 9    Divide both sides by 3 to cancel the 3 in 3x.

x < 3

Find the absolute value (distance the number is from 0).

Absolute value = 3

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Answer:

A

Step-by-step explanation:

A

The value of sin 45° is,

⇒ sin 45° = 1/√2

We have to given that,

A triangle is shown in image.

We know that,

sin x = Opposite / Hypotenuse

Now, By given triangle,

sin 45° = 1/√2

Therefore, The value of sin 45° is,

⇒ sin 45° = 1/√2

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Answer: Degenerate

Step-by-step explanation:

This conic section (intersecting lines) is a degenerate

The conic section is degenerate.

The correct option is (e).

Any curve produced by the intersection of a plane and a right circular cone.

As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.

Hence, the conic section is degenerate.

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Answer:

the awnser is or I'm 4th grade

Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:

b. 0.39.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]

[tex]M = 0.39[/tex]

Hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

so let's say the equation is y = ax² + bx + c, where a,b,c are constants.

we know that f(3) = 5, or namely when x = 3 , y = 5.

we also know that f'(3) = 6, or namely the slope at the point (3,5) is 6.

we also know that at (3,5) the 2nd derivative is 4, so a positive number simply tell us its concavity, is up, so is a parabola opening upwards.

[tex]y=ax^2+bx+c\implies \left. \cfrac{dy}{dx}=2ax+b \right|_{x=3}~~ = ~~ 6\implies 6=2ax+b \\\\\\ 6=2a(\stackrel{x}{3})+b\implies 6=6a+b\implies 6-6a=b\implies \boxed{6(1-a)=b} \\\\[-0.35em] ~\dotfill\\\\ \left. \cfrac{d^2y}{dx^2}=2a \right|_{x=3}~~ = ~~4\implies 2a=4\implies a=\cfrac{4}{2}\implies \boxed{a=2}~\hfill \boxed{-6=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=2x^2-6x+c\qquad \begin{cases} x=3\\ y = 5 \end{cases}\implies 5=2(3)^2-6(3)+c\implies \boxed{5=c} \\\\\\ y=2x^2-6x+5~\hfill y(2)=2(2)^2-6(2)+5\implies \blacktriangleright y(2)=1 \blacktriangleleft[/tex]

Answer:

p = 20

Step-by-step explanation:

Step1 :

Multiply each value by its  frequency then  add up :

(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610

Step2 :

Calculate the total of the frequencies :

6 + 8 + p + 10 + 6 = p + 30

The mean is equal to

[tex]\frac{20p+610}{p+30}[/tex]

Therefore

[tex]20.2 = \frac{20p+610}{p+30}[/tex]

then

20.2 × (p + 30) = 20p + 610

then

20.2p + 606 = 20p + 610

Then

20.2p -  20p = 610 - 606

Then

0.2p = 4

Then

p = 4/(0.2)

  = 20

Answer:

Cite evidence from the text to explain Her as role in Greek mythology

Answer:

- 3

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (4, - 3 ) , then

y = a(x - 4)² - 3

to find a substitute x = 5, y = - 6 into the equation

- 6 = a(5 - 4)² - 3 ( add 3 to both sides )

- 3 = a(1)² = a

y = - 3(x - 4)² - 3 ← expand factor using FOIL

y = - 3(x² - 8x + 16) - 3

  = - 3x² + 24x - 48 - 3

  = - 3x² - 24x - 51 ← in standard form

coefficient of the x² term is - 3

Answer:

10

Step-by-step explanation:

55³ + 66³ =

= (5 × 11)³ + (2 × 3 × 11)³

= 5³ × 11³ + 2³ × 3³ × 11³

= 11³(5³ + 2³ × 3³)

= 11³ × 341

= 11³ × 11 × 31

= 11^4 × 31

The factors are:

1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31

The factors are:

1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871

Answer: 10

Answer:

The range is 23

Step-by-step explanation:

You need to find the biggest number, and then find the smallest number.  Then you need to subtract them.

Answer:

She would have two leftover slices

Step-by-step explanation:

Answer:

She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.

The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.

Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.

Using ∝ = 0.05₂ tail, the conclusion is given as follows:

Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]

      = - 6/10/‭3.1622777

      = -6/‭3.1622777

      = -1.8973666

Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960

Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960

Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] |  Z[tex]_{crit}[/tex] = -1.960 |

It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.

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Answer:

D - 27/4

Step-by-step explanation:

2(1/8 + 4) - (3/16 × 8)

= 27/4

No thousands, just 70

Answer:

seven

Step-by-step explanation:

Answer:

1200 more beats in 3 seconds or

400 more beats in 1 second

Step-by-step explanation:

A Mosquito beats its wings at a rate of 600 times per second.

A honey bee beats its wings at a rate of 200 times per second.

600 - 200 = 400

The mosquito beats 400 more times per second

400 X 3 = 1200

Answer:

135 degrees

Step-by-step explanation:

The image shows how i had my answer please

Answer:

This may or may not help be it might get you close.  

Answer:

-1

Step-by-step explanation:

we plug in p = -3 in the equation to get the answer.

f(p) = -1

Answer:

whatch pH bro......,.......

Answer:

the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course

Step-by-step explanation:

Step-by-step explanation:

There is a vertical asymptote x=3 and x=-1 so our rational function will contain

(x-3)(x+1).

Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.

we have a zero at approximately, at 1 so our numerator will include

[tex] \frac{x - 1}[/tex]

So our rational function is

[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]

There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.

We have given a zero at approximately, 1 so our numerator will include (x-1).

So our rational function is

[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]

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Answer:

-54

Step-by-step explanation:

8-5xy3    x=3 y=-2

3xy3

3(3)(-2)3

9(-2)3

-18*3

-54

Using the normal approximation to the binomial distribution, it is found since np = 0.5 < 10, we cannot find the probability.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

Then:

np = 50 x 0.01 = 0.5 < 10.

Thus we cannot find the probability.

More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710

Answer:

5.907

Step-by-step explanation:

I believe if you multiply 3 times 1.79 you get 5.37 then if you multiply 0.3 times 1.79 you get 0.537. If you combine the 2 you get 5.907. I think this is correct not sure though D:

Answer:

8

Step-by-step explanation:

area of a triangle= b x h x 1/2 or b x h /2

the base is 4 and the height is 4

4x4/2

=16/2

=8

5

Hope it helps.

Do comment if you have any query.

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

Answer:

small

time

time

small

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