Last week, hayden rode his bike 5 times. each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 -mile path. which expression represents the total number of miles he biked? a. 5 × ( 3 2 2 1 4 ) b. 5 ( 3 × 2 × 2 1 4 ) c. 5 × ( 3 × 2 × 2 1 4 ) d. 5 ( 3 2 2 1 4 )

Answer:

x = 7.3

Step-by-step explanation:

area = base × height / 2

21.9 = 6 × x / 2

43.8 = 6x

x = 7.3

Answer:

7.3

Step-by-step explanation:

The formula to find the area of a triangle is (1/2)(a)h = A.

Replace the variable h (height) with x.

Isolate the x variable (height) in order to find the height value.

(1/2)(6)x = 21.9

3x = 21.9

x = 21.9/3

x = 7.3

The present balance in Isabella's bank.statement is; -$9.45

From the task content;

Hence, from the problem statements regarding her deposits, withdrawals, auto-payments, direct deposit and service charge; it follows that;

By finding the LCM of common terms;

x = -$9.45

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Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Answer:

120 ft, 5 qt

Step-by-step explanation:

3 feet in every yard, so 40 x 3 = 120 feet

4 quarts in every gallong, so 20 / 4 = 5

A. Is 88

B. Is 24

C. Is none

D. Is 17 because

8 12 17 22 29

X. X. X. X

The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer:

Lili's CD be worth at the end of 3 years is $2714.23

Step-by-step explanation:

Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.

Let's use formula

A = p\((1+\frac{r}{n} )^{n*t}\)

From the given information

p=2500

r =0.0275

t=3

n=4

Plug in these values into the formula

A=2500\((1+\frac{0.0275}{4})^{4*3}\)

Simplify the right side of the equation,

A=$2714.23

Answer:

compound Inequalities.

Step-by-step explanation:

if 90 containers =8kg

72 containers = ? less

so 72/90 =8kg

0.8×8kg = 6.4kg

72containers =6.4kg

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

If there is a correlation between the number of employees and customer satisfaction in two different Buffalo Wild Wings stores, we need to perform a Pearson's correlation coefficient analysis.

To run stats testing on sales data from two different Buffalo Wild Wings stores, we need to use a correlation analysis. Specifically, we need to use Pearson's correlation coefficient to determine if there is a relationship between the number of employees and customer satisfaction. The Pearson's correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation and +1 indicating a perfect positive correlation. If the coefficient is close to zero, it indicates that there is no correlation.
The data we need to collect includes the number of employees in each store and the sales data for a specific period. We also need to gather customer satisfaction data, which can be collected through surveys or other feedback mechanisms. Once we have the data, we can use a statistical software program like SPSS or Excel to perform the correlation analysis.
If the correlation coefficient is positive and statistically significant, it means that there is a relationship between the number of employees and customer satisfaction. This could mean that more employees lead to better customer service, which in turn leads to higher customer satisfaction and sales. However, if the correlation is negative or not statistically significant, it means that there is no relationship between the two variables.
In conclusion, to determine if there is a correlation between the number of employees and customer satisfaction in two different Buffalo Wild Wings stores, we need to perform a Pearson's correlation coefficient analysis. Gathering accurate data and using statistical software will allow us to determine if there is a significant relationship between the variables.

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Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

30/200 = .15

move the decimal 2 places back and replace it with a %

Inequality 3.5 < 17.5 represents a comparison between two numbers, where 3.5 is less than 17.5. On other hand, "-3.5n" < 17.5 represents an inequality involving a variable multiplied by -3.5, where result is less than 17.5.

The main difference between the two expressions is that the first one is a simple numerical inequality, while the second one involves a variable. In the first expression, 3.5 is a fixed value that is being compared to 17.5, and the solution is straightforward: 3.5 is indeed less than 17.5.

However, in the second expression, "-3.5n" < 17.5, we have a variable (n) multiplied by -3.5. This means that the solution set will depend on the value of n. The inequality will be true for some values of n and false for others, depending on the relationship between -3.5n and 17.5. Therefore, the solution set of "-3.5n" < 17.5 is not the same as the solution set of the simple numerical inequality 3.5 < 17.5.

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It's too late for me Louis. I have already joined the SSS.

Step-by-step explanation:

Natural numbers are numbers that include positive integers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Prime numbers are numbers that are greater than 1 and has only two factors

2,3,5,7,11,13,17,19,23

What Fractions of natural number are prime number?

9/25

I stash my allowance, birthday cash or paycheck in a bank.

The facts about Banks include the following:

The  facts about Credit union include the following:

These are non profit organizations that exist to serve their members and offer some banking services.

They accepts deposits with a higher interest rate and give loan at a lower rate which is why my decision in where to put my money will be in a credit union due to the high interest rate.

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Step-by-step explanation:

As the problem said, you need to submit a picture of your own work, but I can help nevertheless.

Blank 1:

\(\tan 70=\frac{x}{300}\\x=300\tan70 \approx \boxed{824.24}\)

Blank 2:

\(\tan 53=\frac{x}{300}\\x=300\tan53 \approx \boxed{398.11}\)

Blank 3:

\(300\tan(70)-300\tan(53)\approx\boxed{426.13}\)

Answer:

Answer: Proved: the difference between squares of consecutive even numbers is always a multiple of 4. ... From the results above, we can see that 12, 20, and 28 are multiples of 4. Therefore, the difference between squares of consecutive even numbers is always a multiple of 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

Answer:

Solution:- In the given figure

Side of square= 10 cm

area of square =  side x side m= 10 x 10 = 100 sq cm

Now , diameter of semi circle AOD = 2r = 10cm

⇒ radius of  semi circle AOD = 5 cm

∴ area of AOD =  

similarly Area of semicircle BOC =  

Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]

=

Total area of white portion in the given figure=

∴Area of Shaded portion = area of square - area of total white portion

=  

So the area of shaded portion is  

Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)

So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm

Step-by-step explanation:

The annual income of Juan Vance is $12,955.17.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

In order to pay for Social Security and Medicare, the Federal Insurance Contributions Act(FICA) mandates payroll deductions from both employers and employees.

Given, Juan Vance's Weekly salary is $231.67.

∴ Annually Juan earns $(52×231.67) = $12,046.84.

FICA deducts 7.51% from it and then combines another 7.51% with the employee,

∴ The net annual income of Juan Vence is

= [{12046.84 - (7.51/100)×12046.84 + {(7.51 + 7.51)/100}×12046.84}]

= (12046.84 - 904.71 + 1813.04}.

= $12,955.17

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Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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Answer:

The answer to your problem is, D, 204 Pa

Step-by-step explanation:

If.

Weight of book = 12 N

Area of book =  0.21 m × 0.28 m = 0.0058 m²

Pressure of book = ? ( We need to find out " ? " )

Formula of Operation:

pressure = force / area

P = f/ A

Put it now in values:

P = 12 N/ 0.0058  m²

P= 204 Nm⁻²      ( Nm⁻²= Pa)

P = 204 Pa

Thus the answer to our problem is, 204 Pa

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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The given statement "spearman's rho describes a linear relationship between two quantitative variables." is False, because it is a correlation coefficient that measures the strength of a monotonic relationship.

In particular, Spearman's rho is used to measure the degree of association between two variables when the relationship between them is not linear. It works by ranking the values of the two variables and then computing the correlation between the ranks.

If the variables have a monotonic relationship, the Spearman's rho will be close to 1 or -1, depending on the direction of the relationship. If there is no relationship, the Spearman's rho will be close to 0.

For example, consider a dataset where the number of hours studied and the grade obtained in an exam are recorded for a group of students.

If the relationship between the two variables is non-linear, such as a U-shaped or inverted U-shaped curve, then the Spearman's rho would be more appropriate than the Pearson correlation coefficient, which measures the strength of a linear relationship.

In summary, Spearman's rho is used to measure the strength of a monotonic relationship between two variables, which can be non-linear.

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Answer:

\(d = 5\)

General Formulas and Concepts:

Order of Operations: BPEMDAS

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Step 1: Define points

(2, -3)

(5, 1)

Step 2: Solve for d

Answer:

29 minutes

Step-by-step explanation:

Given

\(Total = \$43.25\)

\(Entrance\ Fee = \$7\)

\(Per\ Minute = \$1.25\)

Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

\(Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t\)

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

\(43.25 = 7 + 1.25 * t\)

\(43.25 = 7 + 1.25t\)

Solving further to get the value of t, we have:

\(1.25t = 43.25 - 7\)

\(1.25t = 36.25\)

\(t = 36.25/1.25\)

\(t = 29\)

Answer:

29 minutes

Step-by-step explanation:

7 + 1.25t = 43.25 is the equation

How did I solve this?

I divided those two and that is how you get the equation

In total is 29 minutes

I did the Khan and it was right!

Hope this helps :)

Triangle ABC is dilated by a scale factor of 5 to get A'(-15, -5), B'(10, -10) and C'(-5, -20)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle ABC has vertices at A(-3, -1), B(2, -2) and C(-1, -4). It is then dilated by a scale factor of 5 to get A'(-15, -5), B'(10, -10) and C'(-5, -20)

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Answer: 15

Step-by-step explanation:

The probability that either event A or event B will occur is approximately 0.9715.

To find the probability that either event A or event B will occur, we can use the formula P(A or B) = P(A) + P(B) - P(A and B). In this case, the probabilities of events A and B are given as 12/15 and 18/21, respectively. To find the probability of both A and B happening together, we can multiply their individual probabilities. Now we can plug these values into the formula to find the probability of A or B occurring.

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 12/15 + 18/21 - (12/15) * (18/21)

P(A or B) = 0.8 + 0.8571 - (0.8) * (0.8571)

P(A or B) = 0.8 + 0.8571 - 0.6856

P(A or B) = 0.9715

Therefore, the probability that either event A or event B will occur is approximately 0.9715.

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