Baby Kelsey wants to arrange 7 blocks in a row. How many different arrangements can she make? There are ____ ways to arrange the 7 blocks.

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.

From the question, we are to graph the given linear equation.

To graph the equation,

We will determine the coordinates of the x-intercepts and y-intercepts.

When x = 0

y = 1/5x + 3.5

y = 1/5(0) + 3.5

y = 3.5

(0, 3.5)

When y = 0

y = 1/5x + 3.5

0 = 1/5x + 3.5

Multiply through by 5

0 = x + 17.5

x = -17.5

(-17.5, 0)

Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.

Learn more on Graphing linear equations here: https://brainly.com/question/11860022

#SPJ1

Answer:

0.3% of 73,000 acres

in acres its 219

in square foot its 9,539,640

and in square yard its 1,059,960

Step-by-step explanation:

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

Learn more about thousand on https://brainly.com/question/29260004

#SPJ1

Answer:

the answer is 5,500,0.03,3,495 you’re welcome give me brainliest

Step-by-step explanation:

Marsha earned $330 as interest for depositing $5500 at 2% for 3 years.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Given, p = $5500, r = 2% and t = 3 years.

So, The amount Marsha earned in simple interest is,

= (5500×2×3)/100.

= 55×2×3.

= $330

learn more about simple interests here :

https://brainly.com/question/11564235

#SPJ2

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

Answer:

4 Adults and 6 Children went to the movies.

Step-by-step explanation:

(Children) $4.50 x 6 = $27.00

(Adults) $12.00 x 4 = $48.00

$48.00 + $27.00 = $75.00

Answer:hi

Step-by-step explanation:

The various answers to the question are:

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

Read more about signal

https://brainly.com/question/14699772

#SPJ1

Answer:

Frumpyton

Step-by-step explanation:

Since the standard deviation of Frumpyton is a lower number, this means a higher percentage of outcomes (job salaries) will be within a closer range to the mean salary. Since Frumpyton's standard deviation is $2,000 and the window your looking for is $32,000 to $36,000, if you go one interval up or down from the mean of $34,000, it falls in that range. Whereas, Dirtballville's standard deviation is $3,000 so it's more likely to fall outside of that range.

Answer:

23.5

Step-by-step explanation:

13.2 + 0.9 = 14.1

14.1 / 0.6 = 23.5

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

For such more questions on function

https://brainly.com/question/11624077

#SPJ8

The height of the rectangular prism is 2x^3

The volume of a rectangular prism is given by the product of its length, width, and height.

We know that the volume is 48x^8, so we can write an equation:

48x^8 = (4x^2)(6x^3)(h)

We can simplify the left side:

48x^8 = 24x^5 * h

And divide both sides by 24x^5 to find the height:

h = 48x^8 / 24x^5 = 2x^3

So the height of the rectangular prism is 2x^3

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Answer:

hey pls help me I urgently need help

The two-step equation that can be solved using the addition property of equality and the division property of equality is given by; 4x - 2 = 14 therefore, OC) 4x - 2 = 14 is correct option.

To solve this equation using the addition property of equality, we need to isolate the term that contains x on one side of the equation.

To do this, we need to add 2 to both sides of the equation.

This gives us:

4x - 2 + 2 = 14 + 2

4x = 16

To solve for x, we now need to divide both sides of the equation by 4.

This gives us:

x = 4

Therefore, the answer is OC) 4x - 2 = 14.

for such more question on equality

https://brainly.com/question/30238769

#SPJ11

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Since the largest side corresponds to the hypotenuse of a right triangle, we can draw the following picture:

Then, if the triangle is a right one, Pythagorean theorem must be fulfilled. This indicates that the sum of each of the squared legs must be equal to the hypotenuse squared, that is,

which gives

The left hand side is equal to 400, so we have that

so the sides belong to a righ triangle. So, Is the angle A a right angle? Answer: YES

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

To know more about slope , visit:

https://brainly.com/question/3493733

#SPJ1

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

Learn more about the Statistics here: https://brainly.com/question/218301

#SPJ1

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

Answer:

B

Step-by-step explanation:

The required equivalent rate is 4.8 inches per minute. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
               = 24 (12 inch) / (60 minutes)
               = 4.8 inch per minnute.

Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

The value of distance AB is 187.5 units

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.

sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

The opposite side to angle A is BC

the opposite side to angle C is AB

therefore;

A = 180-( 117 +24)

A = 180- 141

A = 39°

290/sin 39 = x/ sin24

xsin39 = 290 × sin24

0.629x = 117.95

x = 117.95/0.629

x = 187.5

therefore the distance AB is 187.5

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1

Answer:

Step-by-step explanation: