A 4-cup bottle of water costs $3.28. What is the price per pint?

Answer:

45,000 people

Step-by-step explanation:

Simplifying the expected ratio

Multiply the ratio with 60,000

Let they be x

Answer:

M=3ft

Step-by-step explanation:

Use trigonometric ratio Sin to get M which is the opposite side of the given angle of 30°

[tex]sin = \frac{opp}{hyp} [/tex]

[tex]sin30 = \frac{m}{6} [/tex]

Multiply 6 on both sides:

[tex]6sin30 = m[/tex]

Use a calculator:

3=M

or..

use special angles:

Sin30=0.5

6×0.5=3

Therefore M is 3 ft

The difference between the two polynomials is 11x²3y³ - 4xy².

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

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Answer:

1/2

Step-by-step explanation:

number of required outcome ÷number of possible outcomes

1/2

Answer:

Irrational

Step-by-step explanation:

If the number goes on and on it’s irrational

Hope this helps! ;-)

Answer:

It is not rational because the square root of 3 is not a fraction nor a repeating decimal.

Answer:

135.8

Step-by-step explanation: 679miles/5days =135.8miles/days

I hope it help

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

More about the speed link is given below.

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Answer:

the graph has a minimum

Step-by-step explanation:

the minimum is -9

Answer:

the graph has a minimum & the vertex is located at (-1,-9)

Step-by-step explanation:

Minimum is where its like at the bottom opening down. And the vertex is the x value of the minimum point. Maximum is the opposite where the curve is facing upwards and is the highest point where the vertex is the x value of the maximum or highest point.

Answer:

9c² -30c + 25

Step-by-step explanation:

Perfect square trinomial: (a - b)² = a² - 2ab + b²

(3c - 5)²

(3c)² -2(3c * 5) + 5²

9c² -2(15c) + 5²

9c² -30c + 25

Final answer: 9c² -30c + 25

Hope this helps!

Hi!

Given:

[tex](3c-5)^2[/tex]

As this is squared, we are simply multiplying the given expression by itself, like so:

[tex](3c-5)(3c-5)[/tex]

Now, we can use the Distributive Property to solve, using the FOIL Method:

[tex](3c-5)(3c-5)[/tex]

[tex]9c^2-15c-15c+25[/tex]

Combine like terms:

[tex]9c^2-30c+25[/tex]

For a similar problem, see:

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Look the left side as right is constant (6).

So common difference is 5..

next no=14+5=19

Next term

The measure of minor arc BC is equal to ∠BPC which is 147 degrees.

An equation is an expression that shows the relationship between two or more variables and numbers.

From the diagram:

4k + 159 = 2k + 153 (vertical opposite angles are equal)

4k + 159 = 2k + 153

k = -3

Arc Bc = 4k + 159 = 4(-3) + 159 = 147

The measure of minor arc BC is equal to ∠BPC which is 147 degrees.

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Answer: 147 :)

Step-by-step explanation:

khan academy

Answer:

The line would be a solid line.

Step-by-step explanation:

To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.

The distance between a and b is 5 units.

An equilateral triangle has three sides that have the same length. The triangle is defined as the plane two-dimensional figure with three sides having the sum of the three angles of 180 degrees.

Since the figure is missing in the question so I have attached the figure of the points on the graph for better understanding.

The given coordinates are as follows:-

a (-3, 2)

b (-6, -2)

c (0, -2)

Use the distance formula,[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , to find ab.

ab  = √[(−6−(−3))² + (−2−2)²]

ab  = √25

ab  = 5 units

Therefore the distance between A and B is 5 units.

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Answer: 15.9

Step-by-step explanation:

The statement(s) that are true is that the measure of the reference angle is 45°.

The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.

From the given information:

[tex]\mathbf{\theta = \dfrac{7 \pi}{4}}[/tex]

To degrees, we have:

[tex]\mathbf{\theta = \dfrac{7 \pi}{4} \times \dfrac{180}{\pi}}[/tex]

[tex]\mathbf{\theta =315^0}[/tex]

A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.

315° is in the 4th quadrant, i.e.

= 360° - 315°

= 45°

Therefore, the statement(s) that is true is:

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Answer:

sin(0)=-√2/2

tan(0) = -1

The measure of the reference angle is 45°

Step-by-step explanation:

I took the test

Answer:

(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]

Step-by-step explanation:

Answer:

1.6 to nearest tenth.

Step-by-step explanation:

This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).

Equation of that line:

Slope = -1/3  so we can write:

y - 0 = -1/3(x - 0)

So its y = -1/3 x,

The point where it intersects with  the given line is now found:

-1/3x = 3x + 5

10/3 x = -5

x = -5 *3/10 =  -1.5.

- and the y coordinate = 3(-1.5) + 5 = 0.5.

So the point is (-1.5, 0.5)

and the required distance = √((-1.5)^2 + 0.5^2)

=  1.58

= 1.6 to nearest tenth.

Answer:

v = pi (5) squared (18)

Step-by-step explanation:

area of circle is pi * r²

so volume is the area X the length of 18

Answer: IM GONNA SAY D….EEZ N/ NO ITS ACTUALLY D

Step-by-step explanation:

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Answer:

[tex]y=\frac{2}{3}x+4[/tex]

Step-by-step explanation:

Calculate the slope by using rise over run to get 2/3x

The Y Intercept is 4

Explanation:

This is something you could do by trial and error.

The visible numbers are 1,2,3,4,6 which multiply to 144.

Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.

Every other number 1,2,3,4,6 is a factor of 144.

1*144 = 144

2*72 = 144

3*48 = 144

4*36 = 144

6*24 = 144

Answer:

Step-by-step explanation:

Answer:

[tex]87.5\ miles[/tex]

Step-by-step explanation:

Step 1:  Determine how far

Rate of speed * total hours

[tex]\frac{25\ miles}{hour}*3.5\ hours[/tex]

[tex]87.5\ miles[/tex]

Answer:  [tex]87.5\ miles[/tex]

Answer:

It would be 70

Step-by-step explanation:

hope this helped :)

1. 1 pound = 16 ounces

2. 21 pounds * 16 ounces = 336 ounces

3. 336 ounces ÷ 4 baskets = 84 ounces per basket

OR

1. 1 pound = 16 ounces

2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket

3. 5.25 pounds * 16 oz = 84 ounces per basket

Hope this helps!!

Answer:

C) (-2,-16)

Step-by-step explanation:

It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).

Answer:

if you want to, I can explain it to you in more details

HHH, HHT, HTH, THH, TTH, THT, HTT, TTT

That is representative of all possible outcomes from flipping the coin

As there is the highest degree 4 there are four zeros .

Using calculator

the roots are(attached)

The graph is also attached

Answer:

a) 4 roots

b) x = 1 and x = -3

[tex]\textsf{c)} \quad x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}[/tex]

d) see attached

Step-by-step explanation:

Given function:

[tex]f(x)=x^4+3x^3-x-3[/tex]

Part (a)

From inspection of the function, the highest exponent of the polynomial is 4.  Therefore, it is expected that the polynomial will have 4 roots.

Part (b)

To find the rational roots, find values of x where [tex]f(x)=0[/tex]

[tex]f(1)=(1)^4+3(1)^3-1-3=0[/tex]

[tex]f(-3)=(-3)^4+3(-3)^3-(-3)-3=0[/tex]

Therefore, the rational roots are: x = 1 and x = -3

Part (c)

As there are only 2 rational roots, the other 2 roots must be complex roots. To find these, first factor the polynomial using the 2 rational roots found in part (b):

[tex]\implies f(x)=(x-1)(x+3)(x^2+bx+1)[/tex]

[tex]\implies f(x)=(x^2+2x-3)(x^2+bx+1)[/tex]

[tex]\implies f(x)=x^4+bx^3+x^2+2x^3+2bx^2+2x-3x^2-3bx-3[/tex]

[tex]\implies f(x)=x^4+(2+b)x^3+(2b-2)x^2+(2-3b)-3[/tex]

Compare coefficients to find b:

[tex]\implies (2+b)x^3=3x^3[/tex]

[tex]\implies b=1[/tex]

Therefore the fully factored function is:

[tex]\implies f\:\!(x)=(x-1)(x+3)(x^2+x+1)[/tex]

Therefore:

[tex](x^2+x+1)=0[/tex]

To find the complex roots, use the quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(1)(1)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{-3}}{2}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{3}\sqrt{-1}}{2}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{3}i}{2}[/tex]

Therefore, all the roots of the function are:

[tex]x=1, \quad x=-3, \quad x=\dfrac{-1 + \sqrt{3}i}{2}, \quad x=\dfrac{-1 - \sqrt{3}i}{2}[/tex]

Part (d)

End behaviors:

As the degree of the function is even and the leading coefficient is positive, the end behaviors are:

[tex]\textsf{As } x \rightarrow - \infty, \:\: f(x) \rightarrow + \infty[/tex]

[tex]\textsf{As } x \rightarrow + \infty, \:\: f(x) \rightarrow + \infty[/tex]

y-intercept

Substitute x = 0 into the function:

[tex]f\:\!(0)=(0)^4+3(0)^3-(0)-3=-3[/tex]

Therefore, the y-intercept is (0, -3)

To find the approximate x-coordinates of the turning points (stationary points), differentiate the function, set it to zero, then solve for x:

[tex]f'\:(x)=4x^3+9x^2-1[/tex]

[tex]\implies 4x^3+9x^2-1=0[/tex]

Using a calculator, x ≈ -2.2, x ≈ -0.4, x ≈ 0.3

Therefore the approximate coordinates of the turning points are:

(-2.2, -9.3),  (-0.4, -2.7)  and (0.3, -3.2)

We don't need to plot these points, they merely help us with the approximate shape of the curve.

Answer:

5 / 16

Step-by-step explanation:

For a question such as this, we most often simply use a calculator. However, I suppose that to do this by hand you would do as follows:

0.025 / 0.080

= 0.005  / 0.016

= 100 * (0.005 / 0.016)

= 5 / 16

The first step is a simplification. Both the numerator and denominator are divisible by 0.005.  In the next step, we can multiply the numerator and denominator both by 100 to get whole numbers. Because we multiply each by the same number, we have not changed the value of the original fraction. This leaves us with 5 / 16.

Done