Find the sum of the first 10
terms.
0.5,0.9,1.3,1.7,..

Answer:

y=6

Step-by-step explanation:

y=mx+b

y=2x+0

the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

E. 1, 2, 3, and 4

Step-by-step explanation:

If you can make a polygon fit perfectly over another polygon by doing onl;y solid transformations (translation, rotation, reflection), then the polygons are congruent.

This is the case with each pair of polygons here.

Answer: E. 1, 2, 3, and 4

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).  Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.

To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.

The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.

Now, we can substitute the values into the formula:

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).

Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

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The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Answer:

x=9

y=20

Step-by-step explanation:

6/8=3/4

x/12=9/12=3/4

15/y=15/20=3/4

Answer:

-20

Step-by-step explanation:

36 ÷ [-3] + [-4] × 3 − [-4]

In order to calculate this expression, all we have to do is following the order of operations:

Since division and multiplication comes before addition and subtraction

Then

36 ÷ [-3] + [-4] × 3 − [-4]

= (36 ÷ [-3]) + ([-4] × 3) − [-4]

= (-12) + (-12) − [-4]

= ((-12) + (-12)) − [-4]

= (-12 − 12) − [-4]       (Recall :  + (-a) = - a )

= - (12 + 12) − [-4]

= - (24) − [-4]

= - (24) + 4       (Recall :  - (-a) = a )

= - (24 - 4)     (Recall :  -a + b = - (a - b) )

= - (20)

= -20

Answer:

Mean is 402

Median is 400

Mode is 480

Range is 184

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 402

296, 352,368, 384, 416, 440, 480, 480

Range: 184

Median: 592

Mode: 480

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

The area of this regular polygon is 46.8 square units

The given parameters are:

Perimeter, p = 54 m

Apothem, a = √3

The area of this regular polygon is then calculated as:

Area = 0.5 * Apothem * Perimeter

Substitute the known values in the above equation

Area = 0.5 * √3 *  54

Evaluate the product

Area = 46.8

Hence, the area of this regular polygon is 46.8 square units

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Answer:

240 students

Step-by-step explanation:

Grade 7 : Grade 8 = 5 : 3

Number of seventh grade students = 5x

Number of Eighth grade students = 3x

3x = 90

x = 90÷3

x = 30

Total students = 5x + 3x = 8x = 8 * 30 = 240

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer: 20

Step-by-step explanation: see screenshot

Answer : It Is 20

Explanation : 5/1 * 4/1  = 20/1    And 20/1 Simplified = 20

◊ YusuCr ◊

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

Answer:

116,031 about

Step-by-step explanation:

Answer:

20,211

Step-by-step explanation:

Use the correct order of operations, and do one step at a time.

12 x 12/12 x 12 x 12 x 12 - 777 + 21 x 12 x 12/12 =

= 144/12 x 12 x 12 x 12 - 777 + 252 x 12/12

= 12 x 12 x 12 x 12 - 777 + 3024/12

= 144 x 12 x 12 - 777 + 252

= 1728 x 12 - 777 + 252

= 20,736 - 777 + 252

= 19,959 + 252

= 20,211

Answer:c

Step-by-step explanation:

Answer:D g(x) stretches f(x) vertically by a factor of 3.

Step-by-step explanation: ape3

Answer:

150 ft/hr

Step-by-step explanation:

Average rate of change is slope over an interval, so change in y over change in x:

\(\frac{3500-3200}{3-1} =150\) ft/hr

The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

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The ordered pairs that satisfies the linear inequality x < - 3 are (-4, -3) and (-3, -3)

A linear inequality is a mathematical statement that describes a relationship between two or more variables that are not necessarily equal. It is similar to a linear equation, but instead of an equal sign, it uses one of the inequality signs: <, >, ≤, or ≥.

A linear inequality can also be represented graphically on a coordinate plane, by shading the region of the plane that satisfies the inequality. The solution set of a linear inequality is the set of all points that make the inequality true.

A linear inequality can also have infinitely many solutions, no solution or a unique solution. The solution set will be a region in a coordinate plane which is a half-plane, a line or a point depending on the inequality.

In the problem, the inequality x < -3 will have an ordered pair of solution of

(-∞, -3).

This implies that all values of x must lies from negative till infinity while y lies up to - 3.

In the options given, only (-4, -3) and (-3, -3) satisfies this criteria.

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Answer:

The hundred thousands place

Step-by-step explanation:

Answer:

The hundred thoudsands place; (700,000)

Step-by-step explanation:

The places of the number are listed below:

Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3

The digit 7 is in the hundred thoudsands place.

hope this helps!

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

C = 28.26  cm

Step-by-step explanation:

The figure shows a circle of diameter 9 inches.

The person has taken radius r as 9 inches which is wrong.

The radius must be (9/2) = 4.5 inches, such that,

Circumference = 2πr

= 2×3.14×4.5

= 28.26  cm

Hence, this is the required solution.

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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The sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of x =2. is A. -0.7.

Given:

Random number=10

mean of x=2

population=125

mean of p=2.7

Using this formula

Sampling error=x− μ

Where:

x= sample mean=2

μ=population mean=2.7

Let plug in the formula

Sampling error=2-2.7

Sampling error=-0.7

Inconclusion the sampling error is A.-0.7.

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Answer:

8.7 kg gross weight

Step-by-step explanation:

Assuming the crate weight is in grams also:

8600 + 100 = 8700 g

8700 g (1 kg/10³ g) = 8.7 kg

Answer:

89.12 ft

Explanation:

The perimeter of the figure is the sum of all the sides. So, we need to find the length of the quarter of the circles. This length can be calculated as:

Where r is the radius of the circle.

Then, the perimeter can be calculated as:

Perimeter = 2(7 ft) + 2(25 ft) + 4(6.28 ft)

Perimeter = 14 ft + 50 ft + 25.12 ft

Perimeter = 89.12 ft

Because there are 2 segments of 7 ft, 2 of 25 ft, and 4 corners of 6.28 ft

Therefore, the answer is 89.12 ft

Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

Answer:

-1/19

Step-by-step explanation: