Show work please

\( \sqrt{ \frac{45}{5} } \)
​

Answer:

.866

Step-by-step explanation:

An ice cube with a lower volume will melt faster than an ice cube with a higher volume. This is because there is the less mass and surface area for the heat to transfer through, causing the ice cube to melt at a quicker rate.

For example, imagine two ice cubes, one with a volume of 2 cubic centimeters and another with a volume of 4 cubic centimeters. The ice cube with the lower volume (2 cubic centimeters) will melt faster than the ice cube with the higher volume (4 cubic centimeters) because there is less mass for the heat to transfer through.  In conclusion, an ice cube with a lower volume will melt faster than an ice cube with a higher volume. This is due to the fact that there is the less mass and surface area for the heat to transfer through, causing the ice cube to melt at a quicker rate.

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Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

Answer:

The equation in the slope-intercept form is y =  \(\frac{13}{3}x\) + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

  from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵ \(\frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}\)

∴ y = -6 - (\(-\frac{13}{3}x\))

→ Remember (-)(-) = (+)

∴ y = -6 + \(\frac{13}{3}x\)

→ Switch the two terms of the right side

∴ y =  \(\frac{13}{3}x\) + - 6

∴ The equation in the slope-intercept form is y =  \(\frac{13}{3}x\) + -6

The area of the label on the canned tuna fish would be A = 25.13272 square inches

Given data ,

The whole side of the can, including the can's lateral surface area, is covered with the label for the canned tuna fish. The following formula may be used to determine a cylinder's lateral surface area:

Height x circumference = lateral surface area.

The radius (r) would be half of the can's diameter, or 2 inches, since its diameter is 4 inches.

The formula: may be used to determine a circle's circumference.

Circumference = 2πr

On simplifying , we get

Circumference = 2 × 3.14159 × 2 = 12.56636 inches

Lateral surface area = height × circumference = 2 × 12.56636 = 25.13272 square inches

Hence , the lateral surface area of the label is A = 25.132 inches²

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The complete question is attached below :

A can of tuna fish has a diameter of 4 inches and a height of 2 inches what is the area of the label of the canned assuming that covers the entire side if they can

The situation can be modelled to a linear equation.

The cost of the processing fee is 49 dollars.

The cost of the daily fees is 104.5 dollars.

The guest can rent the house a maximum of 11 days if he/she can only spend 1200 dollars.

The home owner charges a processing fee and daily fee to rent his house. The total cost of renting the house for different number of days is represented in the table.

Now, let's check if the situation can be modelled to a linear equation.

A linear equation is represented as y = mx + b

where

Therefore, using (2, 258)(4, 467) let's find the slope.

m = 467 - 258 / 4 - 2

m = 209 / 2

m  = 104.5

Let's find the y-intercept using (2, 258)

258 = 104.5(2) + b

258 - 209 = b

b = 49

Therefore, the modelled equation is y = 104.5x + 49

where

The processing fee is paid one and should be a constant. Therefore, the processing fee is 49 dollars.

The daily fees is 104.5 dollars.

The maximum number of days the visitor can rent if the maximum amount is 1200 dollars can be calculated as follows:

1200 = 104.5(x) + 49

1200 - 49 = 104.5x

x = 1151 / 104.5

x = 11.014354067

x = 11 days

The maximum number of days is 11 days.

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Answer: 38 3/4 or 38.75

Step-by-step explanation:

multiply 3 1/2 * 5 = 17 1/2

multiply 4 1/4 * 5 = 21 1/4

add the 2

=38 3/4

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Answer:

-1/192

Step-by-step explanation:

5/16 subtract 1/3 equals -1/48

Divide -1/48 by 4.

Your answer is -1/192

Hope I helped :)

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Answer:

267/500

Step-by-step explanation:

0.534 = 534 / 1000

Simplify to 267/500

Step-by-step explanation:

537/1000

this is the correct answer

After considering the given data we conclude that project should be rejected under the condition that appropriate cost of capital is 12 percent.

To place the Modified Internal Rate of Return (MIRR) statistic for Project I with a cost of capital of 12 percent, we can use the following steps:
Evaluate the present value of the negative cash flow at time 0, which is -$12,500.
Evaluate the future value of the positive cash flows at the end of the project, which is $2,270 + $2,750 = $5,020.
Evaluate the present value of the future value of the positive cash flows using the reinvestment rate, which is the cost of capital of 12 percent. This is evaluated as \($5,020 / (1 + 0.12)^4 = 3,052.56\).
Evaluate the MIRR using the formula: \(MIRR = (FVCF / PVCF)^{(1/n)} - 1\),
Here, FVCF is the future value of the positive cash flows discounted at the reinvestment rate, PVCF is the present value of the negative cash flow discounted at the financing rate, and n is the number of periods.
Staging in the values, we get \(MIRR = ($3,052.56 / -$12,500)^{(1/4)} - 1 = -0.0903\), or -9.03%.
Therefore the MIRR is negative, the project should be rejected as it is not expected to generate a positive return at the cost of capital of 12 percent.
Hence , the answer is to reject the project
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A) To derive a differential equation for the amount of potassium in the cell at any given time, we need to consider the rate of change of potassium within the cell.

Let's denote the amount of potassium in the cell at time t as P(t). The rate of change of potassium in the cell is determined by the net rate of potassium uptake from the pond water and the rate of potassium release from the cytoplasm.

The rate of potassium uptake is given by the concentration of potassium in the pond water (2 mg/L) multiplied by the volume of pond water absorbed by the cell per hour (3 mL/h):

U(t) = 2 mg/L * 3 mL/h = 6 mg/h.

The rate of potassium release is equal to the volume of cytoplasm released by the cell per hour (3 mL/h).

Therefore, the differential equation for the amount of potassium in the cell is:

dP/dt = U(t) - R(t),

where dP/dt represents the rate of change of P with respect to time, U(t) represents the rate of potassium uptake, and R(t) represents the rate of potassium release.

B) To solve the differential equation, we need to determine the specific form of the rate of potassium release, R(t).

Given that the cell releases 3 mL of cytoplasm each hour to maintain its size, and the cell has a constant volume of 25 mL, the rate of potassium release can be calculated as follows:

R(t) = (3 mL/h) * (P(t)/25 mL),

where P(t) represents the amount of potassium in the cell at time t.

Substituting this expression for R(t) into the differential equation, we get:

dP/dt = U(t) - (3 mL/h) * (P(t)/25 mL).

C) To graph the solution and analyze the long-term outlook for the amount of potassium in the cell, we need to solve the differential equation with the initial condition.

Given that the cell started with 4 mg of potassium, we have the initial condition P(0) = 4 mg.

The solution to the differential equation can be obtained by integrating both sides with respect to time:

∫(dP/dt) dt = ∫(U(t) - (3 mL/h) * (P(t)/25 mL)) dt.

Integrating, we have:

P(t) = ∫(U(t) - (3 mL/h) * (P(t)/25 mL)) dt.

To solve this equation, we would need the specific functional form of U(t) (the rate of potassium uptake). If U(t) is a constant, we can proceed with the integration. However, if U(t) varies with time, we would need more information about its behavior.

Without knowing the specific form of U(t), it is not possible to provide a precise solution or analyze the long-term outlook for the amount of potassium in the cell.

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The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle is DEF

if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°

We need to find the value of x.

We know that the sum of three angles of triangle is 180 degrees

m∠d + m∠e + m∠f=180°

2x+3x-2+x+8= 180°

6x+6=180

Subtract 6 on both sides

6x=174

Divide by 6 on both sides.

x=174/6

x=29

Hence, the value of x is 29.

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Answer:

I will try this one without the equations

A/h = 1/2b

b = 2A/h

if this is an answer choice, that option is correct

hope this helps!

Answer:

\( \huge y = \frac{1}{4} \)

Step-by-step explanation:

\(7(1 - y) = -3(y-2)\)

Expand the terms in the bracket

That's

\(7 - 7y = - 3y + 6\)

Add 3y to both sides of the equation

\(7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6\)

Subtract 7 from both sides by the equation

\(7 - 7 - 4y = 6 - 7 \\ - 4y = - 1\)

Divide both sides by - 4

\( \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ \)

We have the final answer as

\(y = \frac{1}{4} \\ \)

Hope this helps you

Answer:

b

Step-by-step explanation:

Answer: I was made for this question the answer is: w=8

Step-by-step explanation:

First you do: 150-30 since you want to cancel it out.

Then: 120/15=8

The answer:8

Answer:

55.5 ÷ 100 = 0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

Answer:

55.5% = 0.555

Step-by-step explanation:

55.5% = 55.5/100 = 0.555

Answer:

Approximate between two whole numbers by finding the perfect squares nearest to the target number. Identify which value the non-perfect square root is closest to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Step-by-step explanation:

Based on the simple interest rate of the two banks, Evans should bank with Joyner Bank.

The simple interest rates can be found using the formula:

where;

a) For Ross Bank: $700 principal yields interest of $30 after 2 years

b) For Joyner Bank: $1000 principal yields interest of $46 after 2 years

Solving for the interest rate for Ross Bank:

Rate = 30 * 100 /(700 * 2)

Rate = 2.14%

Solving for the interest rate for Joyner Bank:

Rate = 46 * 100 /(1000 * 2)

Rate = 2.3%

Therefore, Evans should bank with Joyner Bank

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The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

thanks

Step-by-step explanation:

go to another app

Answer: undefined

Step-by-step explanation:

Step-by-step explanation:

As it is given that, a cylinder has a height of 15 yards and the volume of the cylinder is 15,260.4 cubic yards and we are here to find the radius of the cylinder.

\( \: \)

We know that,

\({ \longrightarrow\qquad{\frak {\pmb{ \pi {r}^{2}h = Volume_{(cylinder) } }}}} \\ \\\)

Where,

\( \: \)

Now, we will substitute the given values in the formula :

\( \: \)

\({ \longrightarrow\qquad{\sf {\pmb{ 3.14 \times {r}^{2} \times 15 = 15260.4 }}}} \\ \\\)

\({ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \times 47.1 = 15260.4 }}}} \\ \\\)

\({ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} = \dfrac{15260.4}{47.1} }}}} \\ \\\)

\({ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \ = 324 }}}} \\ \\\)

\({ \longrightarrow\qquad{\sf {\pmb{ r = \sqrt{324} }}}} \\ \\\)

\({ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\\)

\( \: \)

Therefore,

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Here we are given height and volume of the cylinder. To find the radius of the cylinder We will substitute the value of height and volume in give formula:

Volume of cylinder = πr²h

➝ 15,260.4 = 22/7 × (r)² × 15

➝ 15,260.4 = (r)² × 330/7

➝ 15,260.4 = (r)² × 47.1

➝ 15,260.4/47.1 = (r)²

➝ 324 = (r)²

➝ √324 = r

➝ 18 = r

Hence,

Tighter border security on aggregate supply would depend on other factors, such as the availability of domestic workers and the demand for goods and services.

Minimum wage laws can increase the cost of production for firms, which can lead to a decrease in the aggregate supply of goods and services.

This is because firms may have to pay higher wages to their workers, which can increase their costs and reduce their profit margins. As a result, firms may reduce their output, leading to a decrease in aggregate supply.

Social security payroll taxes can also increase the cost of production for firms, as they are required to pay a portion of their employees' wages into the social security system.

This can lead to a decrease in aggregate supply for the same reasons as minimum wage laws.

Social security retirement benefits can increase the supply of labor, as workers may choose to retire earlier if they are eligible for retirement benefits.

This can lead to an increase in aggregate supply, as there may be more workers available to produce goods and services.

Tighter border security can decrease the supply of labor, as fewer immigrants may be able to enter the country to work.

This can lead to a decrease in aggregate supply, as there may be fewer workers available to produce goods and services.

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(a) Minimum wage laws can increase production costs for firms, resulting in a leftward shift of the short-run aggregate supply curve, as firms must pay higher wages to their workers. This can lead to higher prices and lower output levels.

(b) Social security payroll taxes can increase labor costs for firms, leading to a leftward shift of the short-run aggregate supply curve. This can cause a decrease in output levels and an increase in prices.

(c) Social security retirement benefits can increase consumer spending, leading to an increase in aggregate demand, and as a result, a rightward shift of the aggregate supply curve. This can lead to higher output levels and potentially higher prices in the long run.

(d) Tighter border security can decrease the supply of labor, causing a leftward shift of the short-run aggregate supply curve. This can lead to higher wages and higher prices, resulting in lower output levels.

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Answer:

Step-by-step explanation:

(0, 1) (1, -1)

(-1 - 1)/(1 - 0) = -2/1 = -2

y - 1 = -2(x - 0)

y - 1 = -2x + 0

y = -2x + 1

There are two types of classifications for triangles, Classification according to internal angles and Classification according to the length of its sides.

A geometrical shape with three vertices, angles and sides, whose sum of internal angles is 180° is considered as a triangle.

Classification of triangles :-

There are two ways to classify triangles,

1) Based on the Angle :-

a) Acute Angled Triangle :- A triangle that has all three angles less than 90° is an acute angle triangle.

b) Right-Angled Triangle :- A triangle that has one angle that measures exactly 90° is a right-angle triangle.

c) Oblique Angled Triangle :- A triangle that has one angle that measures more than 90° is an obtuse angle triangle.

2) Based on the Sides :-

a) Scalene Angled Triangle :- A triangle that has all three sides of different lengths is a scalene triangle.

b) Isosceles Angled Triangle :- A triangle that has two sides of the same length and the third side of a different length is an isosceles triangle.

c) Equilateral Angled triangle :- A triangle that has all three sides of the same length is an equilateral triangle.

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