1/8 of 4 yards= ? feet not in decimal form​

The maximum volume of the largest rectangular box that can be inscribed in the ellipsoid can be calculated by finding the x, y, and z coordinates in the first octant that satisfy the equation (x^2/4) + (y^2/64) + (z^2/49) = 1.

Since the box must have edges parallel to the axes, the coordinates will also be the lengths of the box's edges. From the equation, we get the x coordinate to be 2, the y coordinate to be 8, and the z coordinate to be 7.

The volume of the box is the product of its edges, so the maximum volume of the box is V = 8xyz = 8 * 2 * 8 * 7 = 896.

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The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

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Mark this and retum

Answer:

1.8

Step-by-step explanation:

Solve for x

90

x

=

81

+

25

x

2

Subtract

25

x

2

from both sides of the equation.

90

x

−

25

x

2

=

81

Subtract

81

from both sides of the equation.

90

x

−

25

x

2

−

81

=

0

Factor the left side of the equation.

Tap for more steps...

−

(

5

x

−

9

)

2

=

0

Multiply each term in

−

(

5

x

−

9

)

2

=

0

by

−

1

Tap for more steps...

(

5

x

−

9

)

2

=

0

Set the

5

x

−

9

equal to

0

.

5

x

−

9

=

0

Solve for

x

.

Tap for more steps...

x

=

9

5

The result can be shown in multiple forms.

Exact Form:

x

=

9

5

Decimal Form:

x

=

1.8

Mixed Number Form:

x

=

1

4

5

Upgrade to

Answer:

x1=-25,x2=23

Step-by-step explanation: hope it helps :)

In the given diagram, the area of the shape is approximately 35.7 mm²

From the question, we are to calculate the area of the shape.

From the given information, we have a trapezium and a semicircle cut out of it

The area of the shape = Area of the trapezium - Area of the semicircle

Area of a trapezium = 1/2(a + b) × h

Where a and b are the parallel sides

and h is the perpendicular height

Area of a semicircle = 1/2 πr²

Where r is the radius

Thus,

Area of the shape = [1/2(a + b) × h] - [1/2 πr²]

In the given diagram,

a = 10 mm

b = 15 mm

h = 6 mm

r = 10 / 2 mm = 5 mm

Substituting the parameters, we get

Area of the shape = [1/2(10 + 15) × 6] - [1/2 π(5)²]

Area of the shape = 75 - 39.2699 mm²

Area of the shape = 35.7301mm²

Area of the shape ≈ 35.7 mm²

Hence,

The area is 35.7 mm²

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The coordinate vector of x = [-3, 5, -1] with respect to the ordered basis e = {[1, 7, 8], [0, 1, -5], [0, 0, 1]} is [x]e = [5, -6, -1].

To find the coordinate vector of x with respect to the basis e, we need to express x as a linear combination of the basis vectors and determine the coefficients.

x = [-3, 5, -1]

e = {[1, 7, 8], [0, 1, -5], [0, 0, 1]}

We need to find the coefficients c1, c2, c3 such that:

x = c1 * [1, 7, 8] + c2 * [0, 1, -5] + c3 * [0, 0, 1]

This can be written as a system of equations:

-3 = c1 * 1 + c2 * 0 + c3 * 0

5 = c1 * 7 + c2 * 1 + c3 * 0

-1 = c1 * 8 + c2 * (-5) + c3 * 1

Simplifying the equations, we have:

c1 = -3

7c1 + c2 = 5

8c1 - 5c2 + c3 = -1

Substituting the value of c1 in the second equation:

7(-3) + c2 = 5

-21 + c2 = 5

c2 = 26

Substituting the values of c1 and c2 in the third equation:

8(-3) - 5(26) + c3 = -1

-24 - 130 + c3 = -1

c3 = 105

Therefore, the coefficients are:

c1 = -3

c2 = 26

c3 = 105

The coordinate vector of x with respect to the basis e is:

[x]e = [c1, c2, c3] = [-3, 26, 105]

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Answer:

$588

Step-by-step explanation:

$294 = 6 Guests

$588 = 12 Guests

Answer:

70 kilometers

Step-by-step explanation:

if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.

In quadrant I, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} = \dfrac{\sqrt{21}}5 \approx \boxed{0.9165}\)

Knowing \(f(x)=x^2-4x+5\) then \(f(2)=2^2-4\cdot2+5=4-8+5=1\)

Hope this helps :)

Answer:

1

Step-by-step explanation:

f(x) = x^2 - 4x + 5

Plug in:

f(x) = x^2 - 4x + 5

f(x) = 2^2 - 4(2) + 5

f(x) = 4 - 8 + 5

f(x) = -4 + 5

f(x) = 1

Hope this helped.

Answer:

No it is not the same

Step-by-step explanation:

A real number is any number, positive or negative, whole number or decimal.

(EX) 1, 1.00567, -2, -2.659365

Any number!

Answer:

x = 3

y = 14

z= 7

Answer:

650.00

Step-by-step explanation:

2 is the hundreds place but since its not 5 or over it will be 0

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Answer:  3 1/4 Is the correct answer.

We are given a right-angled triangle.

Recall that the Pythagorean theorem is given by

Where a and b are the shorter sides and c is the longest side.

For the given case, one shorter side (12) and the longest side (13) is given

Let us find the other shorter side (x)

Therefore, the third side x is 5

The COVID-19 pandemic led to significant changes in the grocery business. As restaurants closed their doors to all but take-out orders, grocery store revenues increased by approximately 10%. This increase in demand resulted in significant operational changes for grocery stores.

including expanded hours, increased staffing, and the implementation of strict health and safety protocols. Retailers also invested heavily in e-commerce capabilities to accommodate the increase in online orders. Furthermore, the pandemic has also impacted consumer behavior, as customers stockpiled items and made fewer trips to the store, opting instead for bulk purchases.

As the pandemic continues, the grocery industry will continue to evolve to meet consumer demands and changing economic conditions. In the future, we may see further investments in e-commerce capabilities, increased attention to health and safety protocols, and continued efforts to cater to shifting consumer preferences.

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Answer:

r = 0.16

Step-by-step explanation:

C = 2·π·r

1 =  2·π·r

1/2 =  π·r

0.5 =  π·r

0.5 / 3.14 = r

0.16 = r

Answer:

f(x)=5000(1+0.05)^x

Step-by-step explanation:

Use the formula: f(x)=P(1+b)^x

P is principal or y-intercept. 5000 is principal.

b is the percentage in decimal form. 0.05 is b.

x is time, in this case years. Since there is not a certain number of years leave x as x.

f(x)=5000(1+0.05)^x

Hope this helps!

If not, I am sorry.

To move at 100 km/hour at its end, the length of the minute hand that has an angular velocity of 2·π radians per hour, has to be approximately 15.92 kilometers

Angular velocity is the rate and direction of rotation of a body about an axis.

The required linear speed of the minute hand = 100 km/hour

The formula to convert angular speed to linear speed is presented as follows;

Which gives;

The angular speed of the minute hand = 2·π rad/hour

The required length of the minute hand is therefore;

\(r = \dfrac{100 \ km/hour}{2\cdot \pi/hour} = \dfrac{50}{\pi}\, km \approx 15.92 \, km\)

The length of the minute hand that that give a motion of 100 km/hour at the end is approximately 15.92 km

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2/13+2/13+2/13

= 6/13

Step-by-step explanation:

The probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt is given by P ( A ) = 22.22 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.

Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

So , There are a total of 3 x 3 x 4 = 36 possible outfits.

The number of outfits with the specified choices is:

2 (choices of shoes) x 2 (choices of pants) x 2 (choices of shirts) = 8

Therefore, the probability that Jackie chooses an outfit consisting of the specified choices is:

8 / 36 = 2 / 9 ≈ 0.2222 or about 22.22%

Hence , the probability is P ( A ) = 22.22 %

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The formula which describes the given situation is A = 300 \(e^{0.06t}\) . The solution is obtained by using compound interest.

What is compound interest?

Unlike simple interest, which does not take the principal into account, compound interest does so when calculating the interest for the following month. Compound interest is sometimes represented by the letter C.I. in algebra.

We know that the formula for compound interest is

A = P\(e^{rt}\)

In the question, we are provided with the following information

P = $300

r = 0.06

So, from this we get

A = 300 \(e^{0.06t}\)

Hence, the formula which describes the given situation is A = 300 \(e^{0.06t}\) .

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The time taken for the for the train to arrive is 11.2 hours.

1) We have;

distance (d) = 616 miles

Speed (v) = 55 miles per hour

time (t) = distance/speed = 616 miles/55 miles per hour = 11.2 hours

2) We have;

Interest (I) =  $3,360

Principal (P) = $6,000

Rate (R) = 7%

Time = 100 I/PR

Time = 100 × 3,360/6,000 × 7

Time = 8 years

3) Area (A) = 84 square meters

Height (h) = 12 meters

Base (b) = 2 A/h = 2 × 84/12 = 14 meters

4) Perimeter = 37 inches

width = 10 inches

length = P/2 - w = 37/2 - 10 = 8.5 inches

5) V = πr^2h

For the first cylinder;

V = 2009.6 cubic centimeters

h = 10 centimeters

r = √V/πh

r = √2009.6 /3.14 × 10

r = 8 centimeters

For the second cylinder;

r = √V/πh

r = √196.25/3.14 × 10

r= 2.5 centimeters

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Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3  (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1  (Simplify both sides of the equation)

Answer:

x=−6 and y=1

Answer:

350+280+553=1183

C

Step-by-step explanation:

The triangle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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To prove that y^n = θ(n^y) for any real constants x and y, where y > 0, we need to show that y^n is both O(n^y) and Ω(n^y).

To show that y^n = O(n^y), we need to find a positive constant C and a value of n_0 such that for all n ≥ n_0, we have y^n ≤ Cn^y. We can rewrite this inequality as n^(ylog(y)) ≤ Cn^y. If we choose C = y^(y+1) and n_0 = 1, then for all n ≥ n_0, we have:

n^(ylog(y)) = n^(log(y^n)) = y^n ≤ y^(y+1) * n^y = Cn^y.

Thus, y^n = O(n^y).

To show that y^n = Ω(n^y), we need to find a positive constant C and a value of n_0 such that for all n ≥ n_0, we have y^n ≥ Cn^y. We can rewrite this inequality as (y/n)^n ≥ C. Since y > 0 and n ≥ 1, we have y/n ≥ 1, which implies (y/n)^n ≥ 1^n = 1. If we choose C = 1 and n_0 = 1, then for all n ≥ n_0, we have:

(y/n)^n ≥ 1.

Thus, y^n = Ω(n^y).

Since we have shown that y^n = O(n^y) and y^n = Ω(n^y), we can conclude that y^n = θ(n^y). Therefore, the statement is proved.

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