A sailor cut a 40 foot length of rope in two pieces. If the longer piece is five feet less than twice the shorter piece of rope, then how long is the longer piece.

Answer:

$2792.39

Step-by-step explanation:

→ Work out interest rate

( 100 + 5 ) ÷ 100 = 1.05

→ Multiply the amount by the interest rate to the power of 9

1800 × ( 1.05 )⁹ = 2792.39

Answer:

The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.77}{\sqrt{21}} = 0.33[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.33 = 4.52.

The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.33 = 5.18

The 95% CI for the true average porosity of a certain seam is (4.52, 5.18).

The LCM is

( x − 1 ) ( x + 2) ( x + 3)

Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.

9514 1404 393

Answer:

  $970

Step-by-step explanation:

If we assume that the $1295 selling price of the first color television was paid to Camarena, and that he had no costs other than the ones described, then his profit was ...

  $1295 -25 -300 = $970

Answer:

Relative frequency

Step-by-step explanation:

Re

is b because he has been a great friend of the object of his cow and he is very good about the fact he has been coughing all night long time is a force of the object to do the work and to be a good man and

Answer:

he will do 34 the next month

The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the equation be represented as A

Now , the value of A is

x² - x - 56 = 0   be equation (1)

On simplifying the equation , we get

x² - 8x + 7x - 56 = 0

Taking the common terms in the equation , we get

x ( x - 8 ) + 7 ( x - 8 ) = 0

Now , on factorizing the equation , we get

( x + 7 ) ( x - 8 ) = 0

We have two factors which can solve the equation ,

when ( x + 7 ) = 0

Subtracting 7 on both sides of the equation , we get

x = -7

And , when ( x - 8 ) = 0

Adding 8 on both sides of the equation , we get

x = 8

Therefore , the roots of the equation are x = -7 and x = 8

Hence , the quadratic equation is solved

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Answer:

x = 8

x = -7

Step-by-step explanation:

To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):

Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225

Now, calculate the two possible solutions:

x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8

x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7

So, the correct solutions to the equation x^2 - x - 56 = 0 are:

x = 8 (x = 0 is not a solution)

x = -7

Answer:-12.168

Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8

Answer: x=5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable (x)

Answer:

1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:

D + Q = 65

0.1D + 0.25Q = 10.70

The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.

2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:

M + T = 14

12M + 15T = 192

The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.

Answer:

4704 in²

Step-by-step explanation:

We are given that,

We are asked to to find the surface area of the cube.

Surface area generally refers to total surface area .

[tex]\bigstar \: \boxed{\sf {Surface \; Area_{(Cube)} = 6a^2 }} \\ [/tex]

→ Surface area of cube = 6 × (28)² in²

→ Surface area of cube = 6 × 784 in²

→ Surface area of cube = 4704 in²

[tex] \therefore [/tex] Surface area of cube is 4704 in².

Answer:

  d.  45°

Step-by-step explanation:

You want to know which from your list is a standard elbow angle.

An elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.

Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.

The best choice of answer here is 45°.

__

Additional comment

The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.

Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.

Answer:

False

Step-by-step explanation:

The slope in the graph is not negative.

The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]

Rising action and climax are best used to describe the narrative element of Plot.

The rising action of the novel encompasses all the developments of the characters and the dramatic events that build to the eventual climax. The most thrilling section of the story is the climax, which also marks a turning point in the plot or the objectives of the main character.

Rising action in literature refers to all the incidents that take place in a narrative leading up to the climax. The tale moves along thanks to the mounting action, which also heightens the tension and keeps us interested in what happens next. It comes after the first step of exposition in the plot.

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Answer:

lesser x= -2

greater x= -3/2 or -1.5

Step-by-step explanation:

f(x)=(-x-2)(-2x-3)

-x-2=0

+2 +2

-x=2

-1 -1

x=-2

-2x-3=0

+3 +3

-2x=3

-2 -2

x=-3/2

The zeros of the function are x = -2 and x = -1.5.

The lesser value of x is -2, and the greater value of x is -1.5.

A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.

To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:

(-x - 2) (-2x - 3) = 0

To find the zeros, we need to consider each factor separately and set them equal to zero:

First factor: -x - 2 = 0

Solving for x, we add 2 to both sides:

-x = 2

Multiplying both sides by -1 to isolate x:

x = -2

Second factor: -2x - 3 = 0

Solving for x, we add 3 to both sides:

-2x = 3

Dividing both sides by -2 to isolate x:

x = -3/2 or -1.5

So, the zeros of the function are x = -2 and x = -1.5.

Therefore, the lesser value of x is -2, and the greater value of x is -1.5.

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Answer: The ratio 18:26 simplified is 9:13.

Step-by-step explanation:

To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.

The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13

Answer:9/13

explanation: k12

how many movies were there?

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

Answer:

The researcher compiled a data set consisting of variables such as age, income, and marital status for a sample of 100 retired men

Step-by-step explanation:

A discrete variable is a type of variable that can only take on specific, distinct values that can be counted. Examples of discrete variables include the number of countries visited, shoe size, and number of pets living in a household.

On the other hand, a continuous variable is a type of variable that can take on any value within a certain range through measurement. Examples of continuous variables include pounds of chocolate consumed in the past and height in inches.

Answer:

Answer: Choice B.

Step-by-step explanation:

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Tasha, because she has the lowest ratio since 0.7 < 0.625

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of hits compared to total attempts is their batting average

Each player on the team wants to have the highest batting average to help their team the most.

Jana has hit the ball 7 times out of 10 attempts.

Average is 7/10=0.7

Tasha has hit the ball 10 times out of 16 attempts.

Tasha Average is 10/16=0.625

We need to find the player who has better batting average

Tasha, because she has the lowest ratio since 0.7 < 0.625

Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625

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Answer:

0.9659

Step-by-step explanation:

sin 7π/12 = sin 105° = 0.9659

Answer:

The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)

Step-by-step explanation:

2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.

4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.

6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one-to-one and many-to-one.

But a function can not be one to many means the same value of x can not lead to different values of y.

2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.

4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.

6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.

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Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]

The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:

A(B + C) = AB + AC

Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.

Since the general rule is that:

a(b + c) = ab + ac

Then, 4[3+2]=4[3]+4[2]

Therefore, the given statement elaborates the Distributive property.

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Answer:

Option (3)

Step-by-step explanation:

Volume of the cylinder = 40 ft³

Since, volume of a cylinder is given by the expression,

V = [tex]\pi r^{2}h[/tex]

Here, r = radius of the circular base

h = Height of the cylinder

40 = [tex]\pi r^{2}h[/tex]

[tex]h=\frac{40}{\pi r^2}[/tex] ------(1)

Volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]

By substituting the value of 'h' from equation (1)

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )[/tex]

                                 = [tex]\frac{1}{3}(40)[/tex] ft³

Therefore, Option (3) will be the correct option.