The data below represents the number of runners on each cross country team in the Northern Conference. 121212, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 242424 Which box plot correctly summarizes the data?

The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Answer:

1) True

2)False

3)True

Step-by-step explanation:

The solution to the quadratic equation is given as follows: \(q = -\frac{1}{3}\)

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

In which:

\(\Delta = b^2 - 4ac\)

In this problem, the equation is:

9q² + 6q + 1.

The coefficients are a = 9,b = 6, c = 1, hence:

\(\Delta = 6^2 - 4(9)(1) = 0\)

\(q_1 = \frac{-6 + \sqrt{0}}{2(9)} = -\frac{1}{3}\)

\(q_2 = \frac{-6 - \sqrt{0}}{2(9)} = -\frac{1}{3}\)

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Answer:

Time, and Amount

Step-by-step explanation:

Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.

The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.

Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.

Therefore, this means the amount of water coming out per hour will be:

= 20 liters / 4 hours

= 5 liters per hour.

The main information needed is the time and the amount of water.

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The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

Let's substitute the coordinates of the given points into the formula:

x1 = 5, y1 = 3

x2 = 8, y2 = 2

slope = (2 - 3) / (8 - 5)

Calculating the numerator and denominator:

slope = -1 / 3

Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.

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Answer:

...........................................................

Step-by-step explanation:

0.909 is the  absolute value of -0.909

A number system is defined as a system of writing to express numbers.

The given number is a decimal number

-0.909

Minus zero point nine zero nine

We need to find the absolute value of -0.909

Absolute value of a Decimal is its numeric value without its sign

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

0.909 is the  absolute value of -0.909

Hence,  0.909 is the  absolute value of -0.909

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Answer:

y=3/3x+3/2

Step-by-step explanation:

(-5,-6)(1,3)

x1y1 x2y2

y2-y1/x2-x1

m=3/2

b=3/2

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

(7*8)+2-(3*8)

=34

....

0.042 inches of rain falls in 6 minutes

The given equation is:

y = 0.007x

where y = the height of rainfall in inches

x = time taken in minutes

If x = 6 minutes

y = 0.007(6)

y = 0.042 inches

0.042 inches of rain falls in 6 minutes

Answer:

The correct answer is 8 miles

Step-by-step explanation:

. If Yasmin runs at a pace of 7 miles per hour ... to run will always reduce down to the same fraction on a straight line

the answer its 120 hope helps you

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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If the algebraic expression is (x+√3)(x-√3) then the leading coefficient: 1; constant term: 3; degree: 2. Option C is correct.

It is defined as the combination of constants and variables with mathematical operators.

WE are given that the expression is,

(x+√3)(x-√3)

Since Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

= (x+√3)(x-√3)

=  x (x+√3) - √3(x + √3)

= x² + √3 x - √3x - 3

=  x² - 3

From the expression the obtained result as;

Leading coefficient = 1

Constant term: 3

Degree: 2

Thus, If the algebraic expression is (x+√3)(x-√3) then the leading coefficient: 1; constant term: 3; degree: 2. Option C is correct.

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Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

I'm pretty sure it's -4

Step-by-step explanation:

If you substitute in -2, you get e(-2)= -(-2)+ -6

which is equal to 2-6

2-6=-4

Answer:

e(-2)=-4

Step-by-step explanation:

e(-2)=-(-2)+-6

=2-6

=-4

The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

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Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

If \(a\) is the first term and \(r\) is the common ratio of the series, then the sum of the first \(n\) terms is

\(S_n = a + ar + ar^2 + \cdots + ar^n\)

Multiply by \(r\) on both sides, then subtract that from and solve for \(S_n\).

\(rS_n = ar + ar^2 + ar^3 + \cdots + ar^{n+1}\)

\((1-r)S_n = a - ar^{n+1}\)

\(S_n = \dfrac{a(1-r^{n+1})}{1-r}\)

Use the given first and second terms of the sequence to find \(a\) and \(r\).

\(a = \dfrac1{64}\)

\(ar = \dfrac1{32} \implies \dfrac r{64} = \dfrac1{32} \implies r = \dfrac{64}{32}=2\)

Solve for \(n\).

\(S_n = \dfrac{1-2^{n+1}}{64(1-2)} = 2^{36} - 2^{-6}\)

\(\dfrac{2^{n+1} - 1}{2^6} = 2^{36} - 2^{-6}\)

\(2^{n-5} - 2^{-6} = 2^{36} - 2^{-6}\)

\(\implies n-5 = 36 \implies \boxed{n = 41}\)

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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9514 1404 393

Answer:

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

  (8x +40)° +(6x)° = 180°

  14x +40 = 180 . . . . . . . . . divide by °, collect terms

  14x = 140 . . . . . . . . . subtract 40

  x = 10 . . . . . . . . divide by 14

__

We can use the same approach for y:

  (7y)° +(3y -10)° = 180°

  10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms

  y = 19 . . . . . . . . . . . divide by 10

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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Answer:

136

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

82 +54+x=180

136+x=180

x=180-136

x=44=

y= 44+82

y=126

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

what's the question I mean what do we have to do in it