A spinner is divided into equal sections, labeled 4 through 8. How many times would you expect to spin a 5 if you spin the spinner 100? Round your answer, if needed.

A.
0.20

B.
20

C.
0.50

D.
80

The 5 algebraic expressions are simple linear expression, linear expression, a product of two binomials, quotient of two expressions and quadratic expression.

Here are five examples of algebraic expressions:

1. 2x + 3: This is a simple linear expression that involves a variable (x) and two constants (2 and 3).

2. 4y - 7: Similar to the first example, this is also a linear expression, involving a variable (y) and two constants (4 and 7).

3. 3x^2 + 4x - 5: This is a quadratic expression, involving a variable (x) raised to the power of 2, a constant (3), a variable (x) and a constant (-5).

4. (x + 2)(x - 3): This is a product of two binomials, each one is a linear expression and the result of the product is a quadratic expression.

5. (3x + 4)/(x-2): This is a quotient of two expressions, the numerator is a linear expression and the denominator is a linear expression.

It's important to note that these are just a few examples and there are many different types of algebraic expressions, each with their own unique characteristics and properties. Algebraic expressions can become more complex as the student progresses, but the basic idea remains the same.

Therefore, The 5 algebraic expressions are simple linear expression, linear expression, a product of two binomials, quotient of two expressions and quadratic expression.

To learn more about algebraic expressions,

Visit; brainly.com/question/953809

#SPJ4

The distance of the grain bin is 40 feet if the radius is 20 feet.

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as:

Example:

The volume of a cup with a height 5 cm and a radius 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The grain bin is similar to the shape of a cylinder.

Radius = 20 feet

The distance of the grain bin = Diameter of the grain bin

Now,

Diameter = 2 radius

= 2 x 20

= 40 feet

Thus,

The distance of the gain bin is 40 feet.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ1

Answer: y=2+4x

Step-by-step explanation:

The y-intercept is 2, and 4/1 means it goes up 4 right 1.

Answer:

x = 1 + [tex]\frac{2c}{3}[/tex]

Step-by-step explanation:

-3x + 2c = -3

Subtract 2c from both sides

-3x = -3 - 2c

Divide by -3

x = 1 + [tex]\frac{2c}{3}[/tex]

Hope this helps! :)

Answer:

x = -13

Step-by-step explanation:

Multiply:

1x+16=31

+16=3

Subtract them

x+16=3

+16 - 16 = 3 - 16

Simplifying:

x+16−16=3−16

x = 3 - 16 =

-13.

Answer x = - 13

Good or bad?

The time taken for a train distance 100 m long to pass a specific telegraph at a speed of 36 km/h is 11.11 seconds.

Distance = 100 m

Speed = 36 km/h

Convert km/h to m/s = (36 km/h) * (1000 m/1 km) * (1 h/3600 s) = 10 m/s

Time = Distance/Speed = 100 m/10 m/s = 11.11 s

The time taken for a train 100 m long to pass a specific telegraph at a speed of 36 km/h can be calculated by using the formula Distance/Speed. First, we need to convert the speed in km/h to m/s. This can be done by multiplying the speed in km/h with 1000 m/1 km and then with 1 h/3600 s. The resulting speed in m/s is 10 m/s. Then, we can calculate the time taken by the train to pass the telegraph by dividing the distance (100 m) by the speed (10 m/s). This yields a time of 11.11 seconds. Thus, a train 100 m long at a speed of 36 km/h will take 11.11 seconds to pass a specific telegraph.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

Answer:

y = 6

Step-by-step explanation:

the total horizontal length of the figure ( base ) is 16

the 2 horizontal lengths of 5 and 5 are then subtracted from 16 to give the length of y , that is

y = 16 - 5 - 5 = 16 - 10 = 6

If he uses 875 kwh per month, he will pay about $81

The correct answer is an option (d)

Current use plan:

6.5 cents/kwh for the first 600 kwh

12 cents/kwh for the next 600 kwh

If the rates go up 1 cent in each category, the new rates would be:

7.5 cents / kWh for the first 600 kWh

13.0 cents / kWh the next 600 kWh

Given that he he uses 875 kwh per month.

We need to find the amount he will pay.

For first 600 kwh he will pay 7.5 cents/ kWh.

Then remaining rates would be 875 kWh - 600 kWh = 275 kWh

so, the expression for the total cost would be,

(600 × 7.5) + (275) × 13.0

= 4500 + 3575

= 8075 cents

= $ 80.75,

≈  $ 81

Learn more about the rate here:

https://brainly.com/question/15833351

#SPJ4

Using Pascal's triangle the expansion of the expression [tex](5x+5)^3[/tex] is [tex]125x^3+375x^2+375x+125[/tex].

What is Pascal's triangle?

The triangle can be used to calculate the coefficients of the expansion of  [tex](a+b)^n[/tex] by taking the exponent n and adding 1. The coefficient will correspond with line n+1 of the triangle.

Here for [tex](5x+5)^3[/tex] , n= 3 so the coefficient of the expansion will correspond with line 4.

The expansion follow the rule ,

[tex](a+b)^n=c_{0}a^nb^0+c_{1}a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_{n}a^0b^n[/tex]

The values of the coefficients, from the triangle, are 1-3-3-1.

=> [tex]1a^3b^0+3a^2b+3a^1b^2+1a^0b^3[/tex]

Here substitute a=5x and b=5 then,

=> [tex]1(5x)^35^0+3(5x)^25+3(5x)^25^2+1(5x)^15^3[/tex]

=> [tex]125x^3+375x^2+375x+125[/tex]

Hence the expansion of the expression [tex](5x+5)^3[/tex] is [tex]125x^3+375x^2+375x+125[/tex].

To learn more about Pascal's triangle refer the below link

https://brainly.com/question/29549944

#SPJ1

==================================================

Explanation:

Add up the three sides. Set the sum equal to the perimeter 36 so we can solve for x.

AB+BC+AC = perimeter

(4x+2)+(5x-3)+(2x+4) = 36

11x+3 = 36

11x = 36-3

11x = 33

x = 33/11

x = 3

Then use this x value to determine each side length.

The sides are

As a check so far: 14+12+10 = 36 which helps confirm we have the correct x value, and correct side lengths.

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

Rule: The largest angle is always opposite the longest side of a triangle.

We found that AB = 14 was the longest side. The opposite angle is C, which means this angle is the largest angle.

This is why   angle C   is the final answer.

The equation to represent the percent h the day he spent doing homework on Monday is [tex]\frac{h}{100} = \frac{3}{24}[/tex]

David spent 3 hours doing his homework on Monday. The equation that can be used  to find h, the percent of the day he spent doing homework on Monday can be found as follows:

We have 24 hours in a day. So, on Monday she uses 3 hours for her homework.

Therefore, the equation to represent the percentage h is as follows:

h = 3 / 24 × 100

h = 300 / 24

24h = 300

h = 300 / 24

h = 12.5%

Hence, the equation is as follows;

[tex]\frac{h}{100} = \frac{3}{24}[/tex]

learn more on equation here: https://brainly.com/question/17382594

#SPJ1

The system of equations models is

x=4+3y

x+y=24

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Batman  obstacles  = x

Superman obstacles  = y

Batman completed 4 more than three times

the number of obstacles that Superman

completed.

=> x=4+3y

. They completed a total of 24

obstacles.

=> x+y=24

The system of equations models is

x=4+3y

x+y=24

To learn more about the equation from the given link

https://brainly.com/question/28218072

#SPJ1

Formula for the nth term of the given sequence is [tex]a_{n} =8(\frac{-1}{2}) ^{n-1}[/tex]

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We have to find the nth formula for the  sequence 8, -4, 2...

As we observe the sequence we came to know it is a geometric sequence.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value

In the given sequence the first term is a =8

The common ratio is -4/8=-1/2

The nth formula is [tex]a_{n} =ar^{n-1}[/tex]

[tex]a_{n} =8(\frac{-1}{2}) ^{n-1}[/tex]

Hence,  formula for the nth term of the given sequence is [tex]a_{n} =8(\frac{-1}{2}) ^{n-1}[/tex]

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Because both 2 and 72 under the radical are positive numbers, we can apply this rule:

     [tex]\sqrt{2}\cdot\sqrt{72} = \sqrt{2\cdot72}[/tex]

Now that new version, [tex]\sqrt{2\cdot 72}[/tex] is the same thing as [tex]\sqrt{144}[/tex], because [tex]2\cdot72=144[/tex].

And [tex]\sqrt{144}=12[/tex].

12 is your answer.

The rule we used is [tex]\sqrt{a}\cdot\sqrt{b} = \sqrt{a\cdot b}[/tex], but it only works if both [tex]\sqrt{a}[/tex] and [tex]\sqrt{b}[/tex] are real numbers (AKA if a and b are both non-negative).

0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65 and calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4).

a) The probability of exactly 9 out of 15 patients being over 65 can be calculated using the binomial distribution:

P(X=9) = (15 choose 9) * (0.53)^9 * (0.47)^6

where (15 choose 9) is the binomial coefficient, 0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65.

b) The probability of less than 5 patients being over 65 can be calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

Therefore, 0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65 and calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4).

To learn more about probability,

Visit; brainly.com/question/30034780

#SPJ4

0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65 and calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4).

a) The probability of exactly 9 out of 15 patients being over 65 can be calculated using the binomial distribution:

P(X=9) = (15 choose 9) * (0.53)^9 * (0.47)^6

where (15 choose 9) is the binomial coefficient, 0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65.

b) The probability of less than 5 patients being over 65 can be calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

Therefore, 0.53 is the probability of a patient being over 65, and 0.47 is the probability of a patient being under 65 and calculated as the sum of the probabilities of 0, 1, 2, 3, and 4 patients being over 65:

P(X < 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4).

To learn more about probability

brainly.com/question/30034780

#SPJ4

The roots of equation 2x² -5x +3 = 0 are 3/2 or 1.

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The general form of the quadratic equation is:  ax² + bx + c = 0,

where x is an unknown variable and a, b, c are numerical coefficients.

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.

Given that,

2x² -5x +3 = 0

=> 2x² -2x - 3x +3 = 0 = 0

=> 2x(x-1)-3(x-1) = 0

=> (2x-3)(x-1) = 0

x = 3/2 or 1 are the two roots of the equation.

Thus, The roots of the equation 2x² -5x +3 = 0 are 3/2 or 1.

To know more about quadratic equations visit: brainly.com/question/30098550

#SPJ4

The sampling distribution of the sample mean for samples of size 16, then, is 3.2 pets, which is the same as the mean number of pets owned by the population of students at the high school.

The mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. To better understand this population, a random sample of 16 students will be taken and the mean number of pets for the sample will be calculated.

This will provide us with the mean of the sampling distribution of the sample mean for samples of size 16.

To calculate this, we will first calculate the standard error of the mean, which is the standard deviation of the sample mean. This is calculated by dividing the population standard deviation (1.7 pets) by the square root of the sample size (16), resulting in a standard error of the mean of 0.43.

This means that the standard deviation of the sample means is 0.43 pets.

To learn more about sample, click here:

https://brainly.com/question/13287171

#SPJ4

Answer: The second one on the left

Step-by-step explanation: Its not ant step-by-step but i recently just took this test

Answer:

no solution

Step-by-step explanation:

So first, you want to have one of the variables able to cancel out when you add the equations together.

To do this, divide the second equation by two

2x+2y=4

divide by 2

x+y=2

Next, get the variables on the same side on the both equations, so the second thing you do is add x to both sides on the top equation

y=-x+3

+x +x

y+x=3

Now you times one of them by -1 so a variable will cancle out.

y+x=3

x+y=2

*-1

y+x=3

-x-y=-2

Since all the variables cancel out, there is no solution

Answer:

Step-by-step explanation:

I=Prt so

1440 = 3000r(6) and

1440 = 18000r so

r = .08

As a percentage, which rates are, this is 8%

Remember to divide, multiply, subtract, and drop down until each digit in the dividend has been divided in long division problems. The solution to the division issue is the quotient.

Long division is explained in the following steps:

Put the dividend and the divisor in their proper places.

Take the dividend's first digit from the left.

If this digit is more than or equal to the divisor, divide it by the divisor and write the quotient on top.

To calculate the difference, write the product below the dividend and subtract the result from the dividend. If this difference is less than the divisor and no numbers remain in the dividend, this is termed the residual and the division is completed. If there are more digits in the dividend to be handed down, we repeat the operation until there are no more digits more digit left in the dividend.

For more questions on Long division

https://brainly.com/question/30140577

#SPJ4

The building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.

What is ratio ?

ratio can be defined as the given value divided by the total value, called as the ratio.

Given,

A pole that is 3.1 m tall casts a shadow that is 1.68 m long.

At the same time, a nearby building casts a shadow that is 48.25 m long

to solve this, use proportions. The height of the pole corresponds to the height of the building; the shadows are corresponding:

3.1/ x = 1/45.5

x = 3.1* 45.5

x = 141.05

Hence, the building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.

To learn more about ratio from the given link.

https://brainly.com/question/29192438

#SPJ1

Answer:

30/49

Step-by-step explanation:

Answer:

30/49

Step-by-step explanation:

6/7÷1 2/5

=6/7÷7/5

=6/7*5/7

=30/49

The value of x from the logarithmic equation are x = 1/3 and x = 27

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the equation be represented as A

Now , the value of A is

log₃ ( x ) - 3 logₓ ( 3 ) = 2   be equation (1)

Applying the logarithm rules , we get

log₃ ( x ) - 3/log₃ ( x ) = 2

Let the value of log₃ ( x ) = t

So , Substituting the values in the equation , we get

t - 3/t = 2

On simplifying the equation , we get

t = 3 and t = -1

Substituting the value of t in the equation , we get

log₃ ( x ) = 3

x = 27

And ,

log₃ ( x ) = -1

x = 1/3

Hence , the value of logarithmic equation is 1/3 and 27

To learn more about logarithm click :

https://brainly.com/question/12049968

#SPJ1

Answer:6.5 7.5

Step-by-step explanation:

I know you can do this if you need help you can contact me

Answer: -1728

Step-by-step explanation:

-12^3 = 144 * -12 = -1728

The range of the function g is B. (-∞, ∞).

Function is a mathematical expression that assigns unique output to each input of a given domain. It is a way of mapping one set of values to another set of values to describe the relationship between them. Functions are important mathematical tools used to model and solve a variety of real-world problems.

The range of a function is the set of all possible output values that the function can produce. In this case, the function g is a linear function which means that its graph is a straight line. This means that the function can produce any real number output value, and so the range of the function is (-∞, ∞).

To know more about function click-
https://brainly.com/question/25638609
#SPJ1

The required statements below correspond to the information shown by the graph.

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

According to the given graph, the required solution would be as:

Pool A is filling up "more than" Pool B because the "slope" of the graph for Pool A is "greater than" that of the graph for Pool B.

The "slope" of the graph tells you the unit rate in "gallons per minute".

Thus, the required statements above correspond to the information shown by the graph.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

Yes, Y = 2x + 1 is a linear function.

A linear function is a function whose graph is a straight line. The equation of a linear function is of the form y = mx+  b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). The graph of a linear function is a straight line, the slope of the line is constant, and the y-intercept is a single point.

Y = 2x + 1 is a linear function because it is in the form y = mx + b, where m is the slope of the line which is 2 and b is the y-intercept which is 1. This means that the slope of the line is 2 and the y-intercept is (0,1).

So the graph of this function will be a straight line and it will pass through the point (0,1).

Therefore, Y = 2x + 1 is a linear function.

Learn more about linear function here: https://brainly.com/question/2408815

#SPJ4