The pair of figures to the right are similar. What is the ratio of the perimeters and the ratio of the areas?The ratio of the perimeters is (Simplify your answer.)The ratio of the areas is 1. (Simplify your answer.)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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Estimate of the total distance traveled in the first 6 hours of travel for a particle v(t)=−t^2 +4t+6 is 36m.

We have v(t)=−t² +4t+6

For finding the distance we have to find the integration of the given equation:

s = ∫ -t² +4t+6

= -t³/3 + 4t²/2 + 6t

= -t³/3 + 2t²/ + 6t

For the value of t = 6 hours

= -6³/3 + 2(6)² + 6(6)

= -72 + 72 + 36

= 36

Estimate of the total distance traveled in the first 6 hours is 36 m.

When a moving object has a positive velocity, its position is constantly rising. (We focus on the case when velocity is always positive; we will soon explore cases where velocity is negative.) We have shown that the area under the velocity curve represents the precise distance travelled whenever is constant on an interval. Finding the areas of rectangles that closely resemble the area under the velocity curve allows us to calculate the total distance travelled when is not constant.

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Answer:

0.5

Step-by-step explanation:

deltamath

Answer:

the correct answer is 0,5

Step-by-step explanation:

The decrease in price is approximately 21.4% of the price in 2008.

A share cost $56 in 2008 and $44 in 2016, respectively. The price has dropped because:

56 - 44 = 12

The drop must be divided by the 2008 price in order to be expressed as a percentage of that price, which must then be multiplied by 100:

(12/56) x 100 ≈ 21.4%

As a result, the price is down around 21.4% from what it was in 2008.

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The rate of change of the area of the trapezoid at that instant is 5 square kilometers per second and this can be determined by differentiating the area of the trapezoid with respect to time 't'.

Given :

First, determine the area of a trapezoid, that is:

\(\rm A = \dfrac{b_1+b_2}{2}\times h\)

\(\rm \dfrac{2A}{h}=b_1+b_2\)

\(\rm b_2 = \dfrac{2A}{h}-b_1\)

Now, differentiate the above expression with respect to 't'.

\(\rm \dfrac{db_2}{dt} = -\dfrac{2A}{h^2}\dfrac{dh}{dt}-\dfrac{db_1}{dt}\)

Now. substitute the values of the known terms in the above formula.

\(\rm \dfrac{db_2}{dt} = -\dfrac{2\times (16)}{2^2}\times (5)-(-8)\)

\(\rm \dfrac{db_2}{dt} = -32\;km/sec\)

So, the area is decreasing at the rate of 5.

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Answer:

omg sorry but like you know the have safari and goggle for a reason to use that it is a little bit better than waiting 5-20 to and hour for wating it Unessaury

Answer:

(3m+2)

Step-by-step explanation: trust me I gotchu

Answer:

Step-by-step explanation:

The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.

To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.

Using the Widmark formula, we can calculate the BAC at 8 pm:

BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)

where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.

Plugging in the values we know, we get:

BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)

BAC = 0.0208 - 0.015

BAC = 0.0058

Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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A.) The length of the missing part of the triangle would be given as follows;

a = 4

b = 3

To calculate the missing part of the triangle, the sine formula should be used such as follows;

x /SinX = b/sinB

where;

x= 5

X = 90

b = ?

B = 37°

That is;

5/sin90 = b/sin37

make b the subject of formula;

b = 5× 0.601815023/1

= 3

a² = C²- b²

= 25-9

= 16

a = √16 = 4

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Answer: 20.25

Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!

45 percent of 45 is 20.25.

To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.

45% can be written as 0.45 (since percent means "per hundred" or "out of 100").

45 × 0.45 = 20.25

Therefore, 45% of 45 is 20.25.

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Answer:

therefore, the expression for John's age in terms of y is 4y - 16.

Step-by-step explanation:

Answer:

John's age = 4y - 16

Step-by-step explanation:

We can start by using the information given to write expressions for the ages of Libby and John in terms of Alfred's age y.

We know that Libby is 4 years younger than Alfred, so her age can be written as:

Libby's age = Alfred's age - 4

We also know that John is 4 times as old as Libby, so his age can be written as:

John's age = 4 × Libby's age

Substituting the expression for Libby's age from the first equation into the second equation, we get:

John's age = 4 × (Alfred's age - 4)

Simplifying this expression, we get:

John's age = 4 × Alfred's age - 16

Therefore, an expression in terms of y for John's age is:

John's age = 4y - 16

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Answer:

x=42°

y=64°

z=68°

Step-by-step explanation:

Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.

The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)

The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)

Answer:

Solve for x: (use triangle sum theorem)

48+90+x=180

x = 42 (vertical angles)

Solve for y: (Find z first, then use triangle sum theorem)

68+48+z=180

y = 64

Solve for z: (triangle sum theorem)

22+90+z=180

z=68

Answer:

(B). \(A_{y}\) = \(\left[\begin{array}{cc}12&7\\17&-51\end{array}\right]\)

Step-by-step explanation:

12x - 13y = 7

17x - 22y = - 51

A = \(\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right]\)

\(A_{x}\) = \(\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right]\)

\(A_{y}\) = \(\left[\begin{array}{cc}12&7\\17&-51\end{array}\right]\)

Answer: k=11

Step-by-step explanation:

Answer:

\(Volume = 2000\ in^3\)

Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

Determine the capacity of the aquarium

This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

\(Volume = Length * Width * Height\)

Substitute values for the dimensions

\(Volume = 10 * 20 * 10\)

\(Volume = 2000\ in^3\)

Hence, the volume of the aquarium is 2000 cubic inches

Answer:

This has no answer. Whats the question? Please tell me so I can help you

Is it probability ???

Answer:

Picture 3: A cylinder with height of 8 meters and diameter of 40 meters.

Picture 5: A cylinder with height of 128 meters and diameter of 10 meters.

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------------

Given:

Which Cylinders have the same volume as the cylinder below? Cheok all that apply, height- 20m and base- 32m:

Answer choices:    

picture 1: 40m  and 16

picture 2: 5m  and 64

picture 3: 40m and 8

picture 4: 32m and 20

picture 5: 10m and 128

Formula for Cylinders:

V=Bh or V=πr²h

-------------------------------------------------------------------------------------------------------------

Diameter = Half of Radius {Divide by 2}

Original Cylinder:

20m and 32m

20/2 = 10

V=πr2h=π·102·32≈10053.09649

V ≈ 10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Picture 1: 40m  and 16

40/2 = 20

V=πr2h=π·202·16≈20106.19298

V ≈20106.19

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 2: 5m  and 64

5/2 = 2.5

V=πr2h=π·2.52·64≈1256.63706

V ≈1256.64

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 3: 40m and 8

40/2 = 20

V=πr2h=π·202·8≈10053.09649

V≈10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 4: 32m and 20

32/2 = 16

V=πr2h=π·162·20≈16084.95439

V≈16084.95

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

picture 5: 10m and 128

10/2 = 5

V=πr2h=π·52·128≈10053.09649

V≈10053.1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

After solving each answer choices the answers are:

picture 3: 40m  and 8

picture 5: 10m and 128

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Kavinsky

Answer:

19.Option A is correct

20.Option A is correct

21. Option C is correct

22. Option A is correct

Hope this helps!

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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Answer:

3.75 pounds of carrots

Step-by-step explanation:

Multiply 0.75 by 5 and get 3.75

Answer:

3.75 lbs of carrots

Step-by-step explanation:

10/2=5

.75*5=3.75

You basically just need to multiply your serving by 5

Answer:

108, 324, 972

Step-by-step explanation:

This sequence is multiplying by ✖️3.

4✖️3=12✖️3=36✖️3=108✖️3=324✖️3=972

Hope this helps!

Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.