Walmart is selling 24 bars Gatorade for $8.44 what is the price per bottle​

The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

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The height of the rectangular prism is 21 cm.

A rectangle is a quadrilateral with four right angles (90 degree angles) and two pairs of opposite sides that are equal in length. It is a special case of a parallelogram where all angles are right angles.

The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height of the prism, respectively. We are given that the volume is 1,680 cm^3, but we don't have enough information to determine the height directly without knowing the other dimensions.

If we are given the dimensions of the rectangular prism or any relationship between them, we can use algebraic methods to solve for the height. For example, if we are given that the length is twice the width and the height is three times the width, we can write:

l = 2w

h = 3w

Substituting these expressions into the volume formula, we get:

\(V = lwh\\\\1680 = (2w)(w)(3w)\\\\1680 = 6w^3\)

\(w^3 = 280\)

\(w = 7 cm\)

Now that we know the width is 7 cm, we can use one of the expressions for the height to find its value:

h = 3w = 3(7) = 21 cm

Therefore, the height of the rectangular prism is 21 cm.

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Complete question:

Answer:

can you give me a picture?

Step-by-step explanation:

Answer:

Option C. 4.0313×10²⁷ molecules.

Step-by-step explanation:

We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.

Width (W) = 5 m

Length (L) = 10 m

Height (H) = 3 m

Volume (V) =?

V = L × W × H

V = 10 × 5 × 3

V = 150 m³

Thus, the volume of oxygen is 150 m³

Next, we shall convert 150 m³ to L. This can be obtained as follow:

1 m³ = 1000 L

Therefore,

150 m³ = 150 m³ × 1000 L / 1 m³

150 m³ = 150000 L

Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:

22.4 L = 6.02×10²³ molecules

Therefore,

150000 L = 150000 × 6.02×10²³ / 22.4

150000 L = 4.0313×10²⁷ molecules

Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules

Answer:

\(n_x = -4n_{x-1}\\\)

where \(n_1\) = 2

Step-by-step explanation:

512/-8 = -64

difference of n = 3

\(\sqrt[3]{64} = 4\)

\(n_x = -4n_{x-1}\\\)

where \(n_1\) = 2

Answer:

B. f(x) = -2x - 5

Step-by-step explanation:

✔️Find the rate of change:

Rate of change using two of the given pair, say (0, -5) and (1, -7)

Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2

✔️Find y-intercept (b):

y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.

✔️Substitute m = -2 and b = -5 into f(x) = mx + b

Thus,

f(x) = -2x + (-5)

f(x) = -2x - 5

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

The problem is asking to find the probability that in a sample of 300 children under the age of 6 years in the United States, 27% of them live in households that are at or below poverty income.

The first step is to calculate the standard deviation for the proportion of children in poverty in the sample. This can be done using the formula:

σ = sqrt(p * (1-p) / n)

Where p is the proportion of children in poverty in the population (0.22) and n is the sample size (300).

Next, we can standardize the difference between the sample proportion and the population proportion using the z-score formula:

z = (p_sample - p_population) / σ

Finally, we can find the probability that the z-score is less than or equal to the z-score corresponding to a 27% sample proportion using a standard normal table or calculator. This probability can be interpreted as the probability that 27% or fewer children in the sample are living in households below poverty income.

Answer choice C, (0.27 - 0.22) * (0.73), does not seem to be related to the steps outlined above and does not provide an accurate answer for the problem.

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Answer:

D

Step-by-step explanation:

Graph D has a y intercept of 3 and a slope of 6.25

For the given geometric sequence, we have that:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

For the series given by:

8, 12, 18, 27, ...

We have that:

When a geometric series is infinite and has a common ratio greater than 1, it diverges.

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The constant of proportionality is a value that relates two quantities that are directly proportional or inversely proportional to each other.

What is the constant?

For example, in the equation y = kx, where y and x are two quantities that are directly proportional to each other, k is the constant of proportionality. It represents the ratio between y and x, or the amount that y changes for a unit change in x.

Similarly, in the equation y = k/x, where y and x are two quantities that are inversely proportional to each other, k is the constant of proportionality. It represents the product of y and x, or the amount that y changes for a unit change in 1/x.

The constant of proportionality is often denoted by the letter k, but it can have other symbols depending on the context. It is also sometimes called the proportionality constant, the scaling factor, or the unit rate.

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Complete question is: The constant of proportionality is a value that relates two quantities that are directly proportional or inversely proportional to each other.

y=6x-20

Hope it helps.

Do comment if you have any query.

Answer:

y = m x + b       is the standard form for a straight line

you have

y = 6 x + b       if m = 6

Now when x = 2, y = -8          this is given

- 8 = 6 * 2 + b       substituting given values

b = -8 - 12 = -20

y = 6 x -20            is the equation requested

Check;

-8 = 6 * 2 - 20      

12 = 12         so this agrees

A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1. The proof is below

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled.

To prove that √x-iy = a - ib, we can start by squaring both sides of the given equation:

(√√x + iy)^2 = (a + ib)^2

Expanding both sides, we get:

√x - y + 2i√y√√x = a^2 - b^2 + 2abi

We can write this as two separate equations:

√x - y = a^2 - b^2 ...(1)

2i√y√√x = 2abi ...(2)

From equation (2), we can divide both sides by 2i to get:

√y√√x = ab

Squaring both sides, we get:

√y^2 √√x = a^2b^2

Substituting y = x - √x in the above equation, we get:

(x - √x) √√x = a^2b^2

Simplifying, we get:

√x - x = a^2b^2/√√x

Substituting this into equation (1), we get:

√x - iy = a - ib

Therefore, we have proved that √x-iy = a - ib, given that √√x + iy = a + ib.

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Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

A= 63

Step-by-step explanation:

the both sides are equal so it will be 63 and 63

angle c would be 54

Adding all the sides would give 180 as all sides equal 180

Answer:

i have no idea mate

Hey there!

(2/3a - 5) - (1/3a + 3)

= 2/3a - 5 - 1/3a + 3

COMBINE the LIKE TERMS

= (2/3a - 1/3a) - ( -5 + 3)

= 1/3a - 2

Therefore, your answer should be: 1/3a - 2

OR

Deandre invested $22,000 in the 10% account and $30,000 - $22,000 = $8,000 in the 5% account.

percentage, a relative value indicating hundredth parts of any quantity.

Let's call the amount Deandre invested in the 10% account x.

The amount he invested in the 5% account is $30,000 - x.

The interest he received from the 10% account is 0.10x and the interest he received from the 5% account is 0.05($30,000 - x).

The total interest received is $2600, so we can set up the equation:

0.10x + 0.05($30,000 - x) = $2600

0.10x + 0.05 * $30,000 - 0.05x = $2600

0.10x - 0.05x + 0.05 * $30,000 = $2600

0.05x = $2600 - 0.05 * $30,000

0.05x = $2600 - $1,500

0.05x = $1100

x = $1100 / 0.05

x = $22,000

Hence, Deandre invested $22,000 in the 10% account and $30,000 - $22,000 = $8,000 in the 5% account.

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Answer:

0

Step-by-step explanation:

=> m = 3 -3/7+5

=> m = 0/12

=> m = 0

Answer:

Well 30 minutes as seconds is 1800 already so it would be 10,800 seconds

Step-by-step explanation:

i hope this helps you

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

70

Step-by-step explanation:

Hello There!

So if you didn't know an exterior angle of a triangle is equal to the two opposite interior angles of a triangle

So basically

∠XYZ=∠WXY+∠XWY

so to find ∠XWY we subtract the value of ∠WXY (45) from the value of the exterior angle (115)

115-45=70 so ∠XWY=70

Answer:

?+45=115° sum of two interior angle of the triangle is equal to the exterior angle

<XWY=115-45=70

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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According to the translation rule, if a point is translated from (x,y) to (x + h, y + k), the translation can be defined as moving k and h units in the y and x directions, respectively.

Translation Guidelines An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. Slides are a common term used to describe translations. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."

Point A (-3,4) is translated into point A (3,-7), resulting in h = 3 - (-3), which equals 6, and k = -7 - 4, which equals 11, in this case.

The rule of translation in this situation is therefore (x,y) -> (x + 6, y - 11).

to find x, enter (x)/(5) + (x)/(10) = 7.

Combining the two fractions will help us find x. (x)/(5) + (x)/(10) = 7

10x + 5x = 70

15x = 70

By dividing both sides by 15, we may finally find the value of x: x = 70/15 = 4.67

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Answer:

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints

Step-by-step explanation:

line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Answer for the formula is (K= ω/m)

Angular frequency (ω) can be regarded as measurement of angular displacement with respect to time.

It can also be reffered to as radial or circular frequency. It can be measured in degrees per seconds or sometime radian per seconds.

Angular frequency can be regarded as rate of change with respect to phase of a sinusoidal waveform. It can measure the rate of change of the argument with respect to the sine function.

Given:

ω=km

We know that k is constant

Then we can make k subject of formula as

K= ω/m

Therefore, the formula can be expressed as (K= ω/m)

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