Simplify the expression 3^4 divided by 3^9​

The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.

Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.

We can convert the two fractions to decimal form in order to compare them.

7.375 is equivalent to 7 3/8, and

4/5 is equivalent to 0.8.

7.375 multiplied by 0.8 results in:

7.375 × 0.8 = 5.9

Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.

Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Know more about the term mixed fractions:

https://brainly.com/question/1055953

#SPJ1

The equation y = 0.60x. The 0.60 represents the 0.60 feet in each second rise. The table is completed below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Every 10 seconds in the escalator step rise is 6 feet.

Let 'y' be the number of feet and 'x' be the number of seconds. Then the equation is given as,

y = 0.60x

Then the table is given as,

Time (x)           Distance escalator rises (feet)

     10                                   6

    20                                  12

    30                                  18

    40                                  24

The 0.60 represents the 0.60 feet in each second rise.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

If avocados costs $2.99per pound, Nina will be paying $1.495

The information given in the problem shows that

avocado's have their price in pounds hence we convert the quantity given to pounds

1 pound = 16 ounces

? = 8 ounces

cross multiplying

8 * 1 = ? * 16

? = 8 / 16

? = 1/2

hence 8 ounces is 0.5 pounds

Then the cost of 0.5 pounds of avocados will be solved for

1 pounds  = $2.99

0.5 pounds = ?

cross multiplying

? = 0.5 * 2.99

? = $1.495

Learn more about weight conversions here:

https://brainly.com/question/29400946

#SPJ1

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

Learn more about lowercase words here: https://brainly.com/question/16397886

#SPJ1

Answer:

40 potatoes.

Step-by-step explanation:

16 ounces make a pound, so you multiply that by 2.5 and you get 40.

Answer:

  28, 30, 32

Step-by-step explanation:

Their average will be 90/3 = 30. That is the middle integer.

The three integers are 28, 30, 32.

_____

Comment on the working

It often works well to use the average value when working consecutive integer problems. The average of an odd number of consecutive integers is the middle one. The average of an even number of consecutive integers is halfway between the middle two.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

Learn more about frequency distribution, by the following link

https://brainly.com/question/16698786

#SPJ1

The value of the unknown variable x in the given sequence is; 14

The formula for sum of an arithmetic sequence is;

Sₙ =ⁿ/₂(2a + (n − 1)d)

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

(x + 1) + (x + 4) + (x + 7) +...+ (x + 40) = 442

The common difference is;

x + 4 - (x + 1)

= 3

Now, to get the number of terms, we will say that the function follows the pattern;

aₙ = (x + 1) + 3n

Thus;

(x + 1) + 3n = x + 40

3n = 39

n = 13

Thus, there are n = 13 terms

Sₙ = ¹³/₂(2(x + 1) + (14 − 1)3) = 442

6.5(2x + 40) = 442

2x + 40 = 442/6.5

2x = 68 - 40

x = 28/2

x = 14

Read more about Sum of Arithmetic Sequence at; https://brainly.com/question/24295771

#SPJ1

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

To learn more about the right angle visit:

https://brainly.com/question/3770177.

#SPJ1

Answer:

\(x = 2\)

\(y = -2\)

Step-by-step explanation:

Given

\(2x + y = 2\)

\(2x + 2y = 0\)

Required

Solfe for x and y

Subtract both equations

\(2x- 2x + y - 2y = 2 -0\)

\(-y = 2\)

Divide by -1

\(y = -2\)

Substitute \(y = -2\) in \(2x + 2y = 0\)

\(2x+2 *-2 = 0\)

\(2x-4 = 0\)

\(x - 2 = 0\)

Collect like terms

\(x = 2\)

The complete table of values is

Customers  Minutes  

1                   1/2

3                   3/2

4                      2

6                      3

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

6 customers entered a store over the course of 3 minutes.

This means that

6 customers =  3 minutes.

Divide by 3

2 customers =  1 minute

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

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

The volume of the composite figure is

The volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes

The simple shapes used here include

Volume of rectangle = length x width x depth

= 30 * 9 * 7

= 1890 cubic yd

Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth

= 1/2 (30 + 19) x 10 x 9

= 2205 cubic  yd

Total volume

= 1890 cubic yd + 2205 cubic yd

=  4095 cubic yd

Learn more about composite shapes at

https://brainly.com/question/8370446

#SPJ1

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

Learn more about Percentage here:

https://brainly.com/question/4752650

#SPJ1

Answer:

P and T are 25 units apart.

Answer:

\( x = \frac{1}{2} y + 3\)

Step-by-step explanation:

\(y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}\)

Answer:

it is diff because o the parentheses

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

It is required to find the solution.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The function f(x)= x^2 + 2x + 8

According to given question we have,

By put the value of x=6 in the function f(x) we get,

Evaluating the function f(6):

f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

By put the value of x=x+4 in the function f(x) we get,

Evaluating the function f(x+4):

f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

By put the value of x=-x in the function f(x) we get,

Evaluating the function f(-x):

f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8

Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.

Answer:

It's too short. Write at least 20 characters to explain it well.

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

3,645 π in³

Step-by-step explanation:

the ratio of the radius :

r1 : r2 = √196 : √324

= 14 : 18

= 7 : 9

the ratio of the volume:

v1 : v2 = 7³ : 9³

= 343 : 729

so, the volume of the larger cylinder =

729/343 x 1715π = 3,645 π in³

Answer:

since the cylinders are similar their area and volume will be proportional

\(\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}\)

\( \frac{196π}{324π}=\frac{1715π}{V}\)

V=1715π*324π/126π

V=4410πin³

the volume of the larger cylinder is 4410πin³.

it is vital that we first find the gradient/slope between the points .

⇒\(m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{2-(-2)}{0-2} \\m=\frac{4}{-2} \\m=-2\)

The general equation of a straight line is given by y=mx+c I will use the points (0,2) to find the value of y since the other variables are found already.

\(2=-2(0)+c\\\\c=2\)

⇒This tells us that the equation of the line is y=-2x+2

Answer:

what do you mean childish?.. anyway your answer is

-2| 3 - 6 |

= -6

happy to help!

Answer:

I believe the answer is 5

Step-by-step explanation:

\(\frac{-2|3-(-2)| }{-2\\}\) now the -2 cancels out and you have |3-(-2)| now its |3+2| and now your answer is 5

Hope this helps

Therefore, the surface area of the prisms A, B, C, D, E, and F are 140, 280, 190, 377, 117, and 135 square units, respectively.

Area is a measure of the size of a two-dimensional surface or shape, usually measured in square units. It is the amount of space inside the boundary of a flat object, such as a rectangle, triangle, circle, or any other shape. The calculation of area depends on the shape of the object, but in general, it involves multiplying two or more dimensions of the object, such as the length and width of a rectangle, or the radius of a circle. The resulting area gives an idea of how much space the object takes up in the plane or on a surface.

Here,

To calculate the surface area of a prism, we need to find the area of each face and add them up.

A) This prism has a rectangular base with dimensions 5 units by 8 units and a height of 10 units. So the area of the base is 5 * 8 = 40 square units, and the area of each of the two congruent rectangular faces is 5 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 = 140 square units.

B) This prism has a rectangular base with dimensions 10 units by 12 units and a height of 8 units. So the area of the base is 10 * 12 = 120 square units, and the area of each of the two congruent rectangular faces is 10 * 8 = 80 square units. Therefore, the total surface area of this prism is:

120 + 80 + 80 = 280 square units.

C) This prism has a triangular base with base length 10 units and height 8 units, and a height of 10 units. So the area of the base is 1/2 * 10 * 8 = 40 square units, and the area of each of the three congruent triangular faces is 1/2 * 10 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 + 50 = 190 square units.

D) This prism has a rectangular base with dimensions 13 units by 5 units and a height of 12 units. So the area of the base is 13 * 5 = 65 square units, and the area of each of the two congruent rectangular faces is 13 * 12 = 156 square units. Therefore, the total surface area of this prism is:

65 + 156 + 156 = 377 square units.

E) This prism has a triangular base with base length 6 units and height 15 units, and a height of 8 units. So the area of the base is 1/2 * 6 * 15 = 45 square units, and the area of each of the three congruent triangular faces is 1/2 * 6 * 8 = 24 square units. Therefore, the total surface area of this prism is:

45 + 24 + 24 + 24 = 117 square units.

F) This prism has a pentagonal base with side length 5 units and a height of 6 units. To calculate the area of each face, we need to divide the pentagon into triangles. We can do this by drawing diagonals from one vertex to all others. This divides the pentagon into five triangles, each with a base of 5 units and a height of 6 units. The area of each triangle is 1/2 * 5 * 6 = 15 square units. Therefore, the total surface area of this prism is:

5 * 15 + 6 * 5 * 2 = 75 + 60 = 135 square units.

To know more about area,

https://brainly.com/question/13194650

#SPJ1

Answer:

4 and 9

Step-by-step explanation:

x+(x+5)=13

2x+5=13

2x=8

X=4

Answer:

the smaller value is 2.2

the larger value is 10.8

Step-by-step explanation:

5a + a = 13

6a = 13

a = 2.2

5(2.2) = 10.8

10.8 + 2.2 = 13

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

To know more about probability, visit:https://brainly.com/question/30034780

#SPJ1