An art teacher has 3 3/5 gallons of paint to pour into containers. If each container holds 2/5
gallon, how many containers can they fill?

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

Answer:

99

Step-by-step explanation:

99 + 19 = 118

The period is 4 and the horizontal shift is -3.

A secant line, also simply called a secant, is a line passing through two points of a curve. As the two points are brought together (or, more precisely, as one is brought towards the other), the secant line tends to a tangent line.

The given question can be written as

f(x) = 4sec(π/2(x + 3))

According to the general form of secant function is,

y = a sec(bx - c) + d

where:

a = amplitude

b = period

c = horizontal shift

d = vertical shift

Comparing the given function to the general form, we can see that:

As compare to given function to general form ,we get

a = 4

b = π/2

c = -3

d = 0

So, the period of the function is:

P = 2π/b = 2π/(π/2) = 4

The horizontal shift is:

c = -3

So the function is shifted 3 units to the left.

Hence, the period is 4 and the horizontal shift is -3.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

y = 2x + 4

Step-by-step explanation:

lmk if you want an explanation

Answer:

Here Ratio=1:2:4

total money =$70

Step-by-step explanation:

let the ratio number be 1x,2x and4x

Now,

1x+2x+4x =$70

or, 7x. =$70

or, x. =$70÷7=$10

again,

1x=1×$10=$10,

2x=2×$10=$20 and

4x=4×$10=$40

Answer:

Step-by-step explanation:

Given

This is symmetrical for x and y, so

If x#y = 7, then:

Possible value of x is 14, then y = 14 as well:

Correct choice is A

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Find the critical points of \(f(x,y)\):

\(\dfrac{\partial f}{\partial x}=-2x=0\implies x=0\)

\(\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12\)

All three points lie within \(D\), and \(f\) takes on values of

\(\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}\)

Now check for extrema on the boundary of \(D\). Convert to polar coordinates:

\(f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t\)

Find the critical points of \(g(t)\):

\(\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0\)

\(\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2\)

\(\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi\)

where \(n\) is any integer. There are some redundant critical points, so we'll just consider \(0\le t< 2\pi\), which gives

\(t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3\)

which gives values of

\(\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}\)

So altogether, \(f(x,y)\) has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

Answer:

The answer is

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

\(V = \frac{125}{8} \: {ft}^{3} \)

The length of each side of the cardboard box is

\( {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} \)

We have the final answer as

\( \frac{5}{2} \: \: \: feet \\ \)

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

The value of x is 9

Given the equation:

Multiply both sides by 2(x-8)

Divide both sides by 8

Finally, add 8 to both sides

In linear equation , 6is  the greatest number of boxes .

What are a definition and an example of a linear equation?

from the equation

           30 = 2 × 15 = 2 × 3 × 5

            54 = 2 × 27 = 2 × 3 × 3 ×3

the greatest number  = 2 ×  3 = 6

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There are factors that makes a statement to be true. The false statement is that the projected unit sales volumes of branded footwear per company in Europe-Africa in Years 11-13 are higher than in North America.

The factors to consider in knowing a company's unit sales and market share of products such as branded footwear in a specific geographic region includes;

From the study, the market for branded athletic footwear is projected to grow approximately 9-11% annually in Latin America and the Asia-Pacific and 5-7% annually in North America an Europe-Africa during the Year 11-15.

Therefore the above is false since their projected growth is the same percentage.

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Answer:

Yes, it can be simplified into this: (wouldn't allow me to put the ± sign in the equations :P)

\(\frac{-3+2\sqrt{5} }{2} \\\frac{-3-2\sqrt{5} }{2}\)

Step-by-step explanation:

Answer:

(-3 + √20)/2 = (-3 + √4√5)/2

= (-3 + 2√5)/2

= (-3/2) + √5

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Answer:

1/2

Step-by-step explanation:

Answer:

7*6*5*4*3 = 7P5 = 2520

Step-by-step explanation:

There will be 56 points in the sample space when two batteries are selected without replacement from the bag.

To determine the number of points in the sample space when selecting two batteries without replacement, we can use the counting principle.

The counting principle states that if there are m ways to do one task and n ways to do another task, then there are m * n ways to do both tasks together.

In this case, the first battery can be selected in 8 ways (since there are 8 batteries in the bag).

After selecting the first battery, there are 7 remaining batteries in the bag. For the second battery, there are 7 ways to select it (one less than the previous selection).

Therefore, the number of points in the sample space is given by multiplying the number of possibilities for the first selection (8) by the number of possibilities for the second selection (7):

8 * 7 = 56

There will be 56 points in the sample space when two batteries are selected without replacement from the bag.

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Given:

Cost of Jacket = $30

Tax rate = 6% = 0.06

Let's write an equation that represents the total cost, c, of any item bought in Idaho at a price, p.

To write the equation, apply the formula:

Where:

a is the cost of the item

r is the tax rate

y is the total cost.

Thus, to write the equation which represents the total cost, we have:

Therefore, the equation is:

ANSWER:

Answer:

Step-by-step explanation: get smarter

Answer:

its horizontal and the slope is zero

Step-by-step explanation:

its horizontal because the line in (0,3) and there isnt a slope because its a straight horizontal line

Answer:

414

Step-by-step explanation:

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

A

Step-by-step explanation:

6x- 3x + 6=18

6(4)- 3(4) + 6=18

24-12 + 6=18

12 +6=18

18=18

Answer:

Step-by-step explanation:

a b d e i took the test

Answer: $8 for 1 hamburger

Step-by-step explanation:

Answer:

The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.

Answer:

Step-by-step explanation:

Hi, let me help you out.

The square root of 36 is 6.

6 belongs to the following subsets.

Overall, 6 belongs to 4 sub-sets.

__________________

Hope I helped! Best wishes.

___________________

The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:

Beginning inventory of finished goods $11,850

Cost of goods manufactured                485,310

Ending inventory of finished goods      (12,670)

Cost of Goods Sold                           $484,490

The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.

The cost of goods sold budget is based on the cost of goods manufactured budget.

Direct materials:                            Enamel        Paint     Porcelain      Total    

Total direct materials purchases

budgeted for September            $35,870    $7,530    $139,890  $183,290

Estimated inventory, September 1   1,730        4,150          6,920      12,800 Desired inventory, September 30 (2,980)      (2,710)         (7,150)    (12,840)

Materials used in production                                                          $183,250

Direct labor cost:           Kiln Department    Decorating Department   Total

Total direct labor cost

budgeted for September    $51,550                   $149,500        $201,050

Finished goods inventories:             Dish       Bowl     Figurine             Total

Estimated inventory, September 1  $5,810   $3,310     $2,730        $11,850

Desired inventory, September 30    3,720    4,590       4,360         12,670

Work in process inventories:

Estimated inventory, September 1      $3,540

Direct materials used in production $183,250

Direct labor costs                              $201,050

Total factory overhead costs             $99,450

Desired inventory, September 30       (1,980)

Cost of goods manufactured           $485,310

Indirect factory wages $80,400

Depreciation of plant and equipment 10,550

Power and light 5,110

Indirect materials 3,390

Total 99,450

Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.

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Answer:

Each friend gets 3/4 of a fruit bar

Step-by-step explanation: