expand the equation 1/3(2/5-2/3w)

The solution to the mathematical inequality equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

In order to find the solution to the equation 0.35x - 4.8 < 5.2 - 0.9x, you first need to rearrange the terms in the equation such that all terms involving x are on one side of the inequality and the other terms are on the other side. Starting with: 0.35x - 4.8 < 5.2 - 0.9x, if we add 0.9x to both sides we get 0.35x + 0.9x < 5.2 - 4.8, which simplifies to 1.25x < 10.

Next, to isolate 'x' we divide through by 1.25, which gives us: x < 10/1.25 which simplifies to x < 8. Therefore the answer to the equation 0.35x - 4.8 < 5.2 - 0.9x is the interval x < 8.

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Here we are given two types of data : Time and Temperature.

We can plot one of these on x axis and the other on y axis.

So we can use a line graph here.

Answer:

y = 11 is your answer

Answer: B

Step-by-step explanation:

plato

Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Sure! If Melvin has [tex]\( \frac{1}{2} \)[/tex] of a cake and he wants to share it equally with each of his 2 friends and himself, we need to find out how much each person gets.

First, we need to find out how many people are sharing the cake. Melvin himself plus his 2 friends make a total of 3 people.

Now, to divide [tex]\( \frac{1}{2} \)[/tex] of the cake equally among 3 people, we divide [tex]\( \frac{1}{2} \)[/tex] by 3:

[tex]\[ \frac{1/2}{3} = \frac{1}{2} \times \frac{1}{3} \][/tex]

To multiply fractions, we multiply the numerators together and the denominators together:

[tex]\[ = \frac{1 \times 1}{2 \times 3} \][/tex]

[tex]\[ = \frac{1}{6} \][/tex]

So, each person gets [tex]\( \frac{1}{6} \)[/tex] of the cake.

Therefore, Melvin and each of his 2 friends get [tex]\( \frac{1}{6} \)[/tex] of the cake each.

Answer:

Answer:

Part A) The quantities are [tex]30\ piece\ of\ sushi[/tex] and [tex]20\ bagels[/tex]

Part B) [tex]\$80[/tex]

Part C) The income effect is a loss of [tex]\$20[/tex]

Step-by-step explanation:

Part A)

Let

x-----> the number of piece of sushi

y----> the original number of bagels

we know that

[tex]2x=60[/tex] ------> [tex]x=30\ piece\ of\ sushi[/tex]

[tex]2y=40[/tex] ------> [tex]y=20\ bagels[/tex]

Part B) At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)?

Bagels

[tex]20(1)=\$20[/tex]

Sushi

[tex]30(2)=\$60[/tex] -----> is the same

The total cost is

[tex]\$20+\$60=\$80[/tex]

so

The same quantities would have cost [tex]\$80[/tex]

Part C) Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Find the difference

[tex]\$100-\$80=\$20[/tex]

therefore

The income effect is a loss of [tex]\$20[/tex]

The perimeter and area of the fountain comprising two semicircles and a quarter circle can be calculated using principles of circle geometry, adding respective perimeter parts for the total perimeter and summing up the areas of each part for the total area. The perimeter calculation includes the semicircles' straight edges, while the area computation combines semicircle and quarter circle areas.

To calculate the perimeter and area of a fountain composed of two semicircles and a quarter circle, we first need to acknowledge that all parts of this shape are derived from circles. Therefore, understanding the properties of a circle is crucial. The formula for the perimeter (circumference) of a whole circle is 2πr, and the formula for the area is πr², where r is the radius of the circle.

To find the perimeter of the given shape, add the perimeters of the two semicircles and a quarter circle. Since the perimeter of a semicircle is πr and there are two, their combined perimeter is 2πr. The perimeter of a quarter circle is πr/2. Therefore, the total perimeter of the shape would be 2πr + πr/2. The straight edges that close the semicircles also contribute to the perimeter, which are diameters of the circles (ϐ2r for each semicircle), resulting in an additional 2r + 2r = 4r to the total perimeter.

For the area, sum the areas of two semicircles and a quarter circle. The area of a semicircle is πr²/2, so together, two semicircles have an area of πr². The area of a quarter circle is πr²/4. Thus, the total area of the shape is πr² + πr²/4 = 5πr²/4.

To find the exact values, you would substitute the specific radius (r) of the circles that constitute the fountain, and calculate using π ≈ 3.14. Make sure to round the perimeter to the nearest tenth of a foot and the area to the nearest square foot as instructed.

Answer:

41 FEET

Step-by-step explanation:

I JUST DID USATESTPREP

Answer:

1 and 4 are correct

Step-by-step explanation:

The correct options are:

1. The equation of a given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. According to the equation of a line: y≥-x-3

You may use the slope-intercept form to graph inequalities. The slope-intercept form is expressed as y = mx + b, where the variable m stands for the slope of the line, and b stands for the y-intercept (or in which the line crosses the y-axis).

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The points listed which has the same distance from the x axis as the point (8, 3.25) is B- (7, -3.25).

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given is a point in the XY plane with the coordinates (8, 3.25).

We have to find the point in the options which are at a same distance as the given point.

In order for two points to be at a same distance from the x axis, their y coordinates must be same with either same sign or of the opposite sign.

Here the point with the same y coordinate as the given point is B- (7, -3.25)

Hence option B is correct.

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Answer:

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Step-by-step explanation:

We can have the second partial derivatives of w in relation to u, v and uv. So

[tex]w = u^{9} + v^{7}[/tex]

[tex]w_{u} = 9u^{8}[/tex]

[tex]w_{uu} = 72u^{7}[/tex]

[tex]w_{uv} = w_{vu} = 0[/tex]

[tex]w_{v} = 7v^{6}[/tex]

[tex]w_{vv} = 42v^{5}[/tex]

Final answer:

The second partial derivatives of w = u^9 + v^7 are w_uu = 72u^7, w_uv = 0, and w_vv = 42v^5.

Explanation:

To find all the second partial derivatives of w = u^9 + v^7, we need to differentiate twice with respect to each variable. Let's start:

First, find the first partial derivatives:
wu = 9u^8 (differentiating with respect to u)
wv = 7v^6 (differentiating with respect to v)

Now, take the second partial derivatives:
wuu = 72u^7 (differentiating wu with respect to u)
wuv = 0 (differentiating wu with respect to v)
wvv = 42v^5 (differentiating wv with respect to v)

So, the second partial derivatives of w = u^9 + v^7 are wuu = 72u^7, wuv = 0, and wvv = 42v^5.

(a) The equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) The daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

(a) The general slope-intercept form of writing the equation of a line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line.

According to the question,

[tex](x_1,y_1)\rightarrow (3,6000)[/tex] and [tex](x_2,y_2)\rightarrow (4,5000)[/tex]

Evaluate the value of the slope as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{5000-6000}{4-3}\\m=-1000[/tex]

Now, substitute the parameters in the equation [tex]y-y_1=m(x-x_1)[/tex]-

[tex]y-y_1=m(x-x_1)\\y-6000=-1000(x-3)\\y-6000=-1000x+3000\\y=-1000x+9000[/tex]

Hence, the equation in slope-intercept form  for describing the relationship between sales price and quantity of the fun noodle is [tex]y=-1000x+9000[/tex].

(b) Substitute [tex]x=\$3.50[/tex] in the slope-intercept equation  [tex]y=-1000x+9000[/tex] to evaluate the daily sales of fun noodles as-

[tex]y=-1000x+9000\\y=-1000(3.50)+9000\\y=-3500+9000\\y=5500[/tex]

Hence, the daily sales of fun noodles is [tex]5500[/tex] when, the sales price is [tex]\$3.50[/tex].

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Answer:13.79

Step-by-step explanation: I put that answer and gt it wrong an dthe thing told me the answear was 13.79

The expectation of (x-µ)/ equals 0, as it's the standardized form of variable X having a mean of 0. The expectation of {[((x-µ)/)]^2} equals 1, as it's the variance of the standardized variable which is always 1.

The question pertains to the concepts of expected values, mean and variance in probability and statistics. When we have a random variable X with mean µ and variance ^2, we can determine the expected value of a transformed variable (x-µ)/ and its square (x-µ)/^2.

The expectation of (x-µ)/ is actually 0. This is because when you subtract the mean (µ) from the random variable and divide by the standard deviation (), you are standardizing the variable to have a mean of 0.

For the expectation of {[((x-µ)/)]^2}, we actually get 1. This is because the square of a standardized random variable, like (x-µ)/, is the variance of the standardized variable, which is always 1.

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Polynomial expression of area of room in terms of x is A = x² + 9x + 14.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Area of rectangle(room) = Length × width

So,

A = (x + 7)(x + 2)

A = x² + 20x + 7x + 14

A = x² + 9x + 14

Hence "Polynomial expression of area of room in terms of x is A = x² + 9x + 14".

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Answer:

The next payday is on the: 26th of that month.

Step-by-step explanation:

You process paychecks for your company.

Paydays are 2 weeks apart, on Fridays.

2 weeks apart means 14 days apart.

The first payday in one month is on the 12th.

Therefore, The next payday is on the: [tex]12+14=26[/tex]

26th of that month.

Answer:

You would pay $7.97 for your bagels!