Jonathan has 3 1/3 yards of fabric. He cuts it into strips to wax his car. Each strip is 5/6 yards long. How many strips of fabric does he have?

Answer:

1/4 ft = 3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

                                                                   12 in

Multiply (1/4 ft) by the conversion factor ------------

                                                                     1 ft

obtaining 3 in (answer)

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer:

0.16%

Step-by-step explanation:

From the statement of the question;

Number of Laryngeal cancer due to smoking = 160

Population of smokers = 100,000

Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1

=0.16%

Hence 0.16% of smokers are liable to Laryngeal cancer

Answer:

8

Step-by-step explanation:

So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.

The value of x is 63

To determine the value of the variable, we have that;

From the information given, we have that;

x and x - 36 are complementary angles

Now, equate the angles to 90 degrees, we have;

x + x - 36= 90

collect the like terms, we get;

2x = 90 + 36

add the terms

2x =1 26

Divide by the coefficient

x = 63

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Complete question:

The angles X,(x-36)  are complementary. What is the value of x

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.

Answer:

6

Step-by-step explanation:

Answer:

x = 41

Step-by-step explanation:

Thus, we can find x by setting (x + 22)°, (2x - 6)°, and x° equal to 180:

(x + 22) + (2x - 6) + x = 180

(x + 2x + x) + (22 - 6) = 180

4x + 16 = 180

4x = 164

x = 41

Thus, x = 41

Check the validity of the answer:

We can check that x = 41 is the correct answer by pluggin in 41 for x in (x + 22)°, (2x - 6)° and x° and seeing whether the sum is 180:

(41 + 22) + (2(41) - 6) + 41 = 180

63 + (82 - 6) + 41 = 180

63 + 76 + 41 = 180

139 + 41 = 180

180 = 180

Thus, our answer is correct.

Step-by-step explanation:

you mean, what is the price of a pizza, right ? and I guess it is pizza slices ...

1 hamburger = $2.50

5 hamburgers = 5×1 hamburger = 5×2.5 = $12.50

that leaves for the 11 pizzas (slices)

40 - 12.5 = $27.50

so, 1 pizza (slice) is

27.5 / 11 = $2.50

Answer:

One hamburger costs $2.50

One pizza also costs $2.50

Step-by-step explanation:

Let's say Nigel is the one purchasing lots of food for no reason.

Nigel bought 11 pizzas and 5 hamburgers for $40 (DAMMMM WHAT COUPON IS THAT??)

We can write this algebraically:

11p + 5b = 40

We know that the price of 1 Hamburger is $2.50.

Now we can plug that into out equation and find the price of one pizza:

11p + 5(2.50) = 40

11p + 12.5 = 40

11p = 27.5

p = 2.5

Now, we have the price of one pizza, $2.50

Answer: 2027.34

Step-by-step explanation:

first you plug in 10 for x

after you squared and multiplied you add

then it should come out to be 2027.34

In linear equation, 2027 .34 millions of smartphone units will be shipped worldwide in 2019.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

S(x)=-5.11x^2+243.57x+102.64   ...............1

For smartphone skipped in 2019

  x = 2019 - 2009

     x = 10

putting x = 10 in (1)

     S( 10 ) = -5.11 (10)² + 243.57 * 10 + 102.64

                 = -511 + 2435.7 + 102.64

               = 2027 .34

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The complete question is -

The total number (in millions) of smartphone units shipped worldwide from 2009 to 2016 is given by S(x)=-5.11x^2+243.57x+102.64. where is the number of years after 2009. Assuming the trend continues, how many millions of smartphone units will be shipped worldwide in 2019? (Do not round your answer.)

(Source: Statista 2017)

Answer:

yes

Step-by-step explanation:

The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.

Answer:  Yes; it is a rational number.

__________________________________________

Step-by-step explanation:

__________________________________________

An irrational number, by definition, has "non-terminating, non-repeated decimal".

This number given has a "non-terminating decimal" that "is repeating"; so, instead of being an "irrational number", it is a "rational number."

__________________________________________

Hope this helps!

__________________________________________

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

She invest money at each rate

First = 1000

Second = 10,000

Simple interest is a method of calculating the interest charge. The interest can be calculated as the product of principal amount, rate and time peroid.

We are given that Phyllis invested $11,000, a portion earning a simple interest rate of 2 1/2% per year and the rest earning a rate of 2% per year.

Given the following :

Amount invested = $11,000

A portion earns 2 and 1/2 % interest per year

The rest earns a rate of 2% per year

The Total Interst earned after a year = $255

Amount invested at each rate;

Let amount invested at 2 1/2% = a

Amount invested at 2% is; 11,000 - a

Simple interest = principal x rate x time

First investment :

a x 5/2% x  1

Second :

(11000 - a) x 2%

Firat investment + second = $225

a x 0.025 + (11000 - a) x 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

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Answer:

3rd one

thank you

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Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

verified and e-x/2 function is defined in the interval (-∞,+∞)

We need to verify, whether, (2y' + y = 0) , when y = e-x/2

From y = e−x/2 ,

we obtain,

→y′ = − (1/2)e−x/2

→2y′ + y = −2(1/2)e−x/2 + e−x/2

= −e−x/2 + e−x/2

= 0 →hence verified and e-x/2 function is defined in the interval (-∞,+∞)

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Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

(0,0) and (1,1)

Step-by-step explanation:

Answer:

210 minutes

Step-by-step explanation:

First, we want to find out how many meters cubed of water there is, which is the volume.

The volume of this prism would be, the average of the two sides multiplied by 2 and 1.

1.5+0.6 = 2.1

2.1/2 = 1.05

1.05*2=2.1

2.1*1=2.1

2.1 meters is the volume but because it goes down by 30 cm, we have to convert 2.1 to cm.

2.1 * 100 = 210 cm.

Every 30 minutes, it goes down by 30 cm so:

210/30 = 7

210 minutes until it's empty

Answer:

B. option is the current answer.

Step-by-step explanation:

Standard form here means, the the exponential powers of constants must be arranged in ascending order.

Here,

constant is " a ".

Exponential power ( in ascending order ) = 5, 4, 2, 1

Answer:

SU = 32 and <SVT = 32

Step-by-step explanation:

math, i am pretty sure about the angle and positive on the diagonal

Answer:

hello your question is incomplete attached below is the complete question

answer : The Integrand converges

Step-by-step explanation:

attached below is the detailed solution to the problem

i) the integrand is not continuous on [ 0, 64 ] hence the integrand is improper

ii) determine if the integrand diverges or converges ( attached below )

The integrand is finite and it converges at 16

The value of yp is equal to negative two divided by the expression 27x raised to the power of 27/4 and multiplied by e raised to the power of 3x.. This could be found using the Method of Undetermined Coefficients.

To find the particular solution using the Method of Undetermined Coefficients, we assume that the particular solution is of the form:

yp = Axⁱe⁽³ˣ⁾

where A is a constant to be determined and i is the smallest positive integer that makes yp linearly independent from the complementary function.

First, we find the complementary function by solving the characteristic equation:

r² - (4/3)r + 1 = 0

Using the quadratic formula, we get:

r = (4/3 ± √(16/9 - 4))/(-9/4) = -3/4 or -1

So the complementary function is:

yc = c₁e⁻ˣ + c₂e⁽-(3/4)x⁾

To determine the value of A, we substitute yp into the differential equation and equate coefficients of like terms.

yp' = A(xⁱe⁽³ˣ⁾)' = A(xⁱe⁽³ˣ⁾)(3e⁽³ˣ⁾ + i)

yp" = A(xⁱe⁽³ˣ⁾)" = A(xⁱe⁽³ˣ⁾)(9e⁽³ˣ⁾ + 6ie⁽³ˣ⁾ + i(i+3))

Substituting these into the differential equation and simplifying, we get:

(81/4)A(xⁱe⁽³ˣ⁾) + 4A(xⁱe⁽³ˣ⁾)(3e⁽³ˣ⁾ + i) + Axⁱe⁽³ˣ⁾ = 2xe⁽³ˣ⁾

Simplifying further, we get:

A(81/4 + 12i)e⁽³ˣ⁾xⁱ = 2x

To satisfy this equation for all x, we must have:

A(81/4 + 12i) = 0

and

A = 2/(xⁱe⁽³ˣ⁾)

Since A cannot be zero, we must have:

81/4 + 12i = 0

i = -27/4

Therefore, the particular solution is:

yp = -2/(27x⁽27/4⁾e⁽³ˣ⁾)

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Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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