What is 1.21 rounded to the nearest tenth?

Data collected over several time periods are called time series data.

Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.

Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.

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Answer:

20

Step-by-step explanation:

4+40-3(8)

44-24

20

Answer: 20

Step-by-step explanation:

(2)^2+4(10)-3(10-2)

PEMDAS!

(2)^2+4(10)-3(8)

4+4(10)-3(8)

4+40-24

44-24

20

Answer:

a. -3

b. 553km

c. 32

d. R 1500 profit (12.5%)

e. 5

Answer:

Part A: I disagree, because when shading the regions of inequalities, only the shaded area that overlaps with the other shaded area is the solution, not every single point shaded. 5x - 3y > 1 and 3x + 4y ≤ 18 have an overlapping shaded region, that is where the solutions are.

Part B: picture attached

Part C: All points located on the overlapped shaded region (the darkest part)

Step-by-step explanation:

hope this helps, good luck!

Answer:

Step-by-step explanation:

Since ∠S and ∠Y are complementary, we have:

∠S + ∠Y = 90°

We also know that:

m∠S = 2(m∠Y) − 30°

Substituting the second equation into the first equation, we get:

2(m∠Y) − 30° + ∠Y = 90°

Combining like terms:

3(m∠Y) = 120°

Dividing both sides by 3:

m∠Y = 40°

Therefore, m∠Y is 40 degrees.

Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20

Answer:

15*4=60;60*3.5=210

Step-by-step explanation:

60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets

Answer:

answer is 1/4 × 3 1/2 =

3 1/8

Answer:

Step-by-step explanation:

Area of the sector B:

A = πr²*70/360 =

     π*10²*7/36 =

     175π/9 in²

Correct choice is C

Answer:

given;

inscribed angle =35°

central angle=35×2=70°

radius [r]=10in

area of shaded region=70°/360×πr²

=70°/360×π×10²=159π/9 or 61.08in²

Given:

To find: The value of x and y

Explanation:

Adding (1) and (2) we get,

Substitute x=4 in equation (2) we get,

Hence, the solution is,

Final answer:

Answer:

Right angle triangle

Acute

Step-by-step explanation

1 right angle/90 degrees

2 acute angles

Answer:

Option C)

Step-by-step explanation:

When Solving these equations rember PEMDAS

Hope this helps, PEMDAS is just an easy way to show what to do first, second, Ect.

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-Aslina

There are 120 different combinations of 3 blocks that can be selected from the set so that no two blocks are in the same row or column.

To find the number of different combinations of 3 blocks that can be selected from the set, we can break down the problem into steps:

Step 1: Select the first block

We have 25 choices for the first block.

Step 2: Select the second block

To ensure that the second block is not in the same row or column as the first block, we need to consider the remaining blocks that are not in the same row or column as the first block. There are 16 remaining blocks that meet this condition.

Step 3: Select the third block

Similarly, to ensure that the third block is not in the same row or column as the first two blocks, we need to consider the remaining blocks that are not in the same row or column as the first two blocks. There are 9 remaining blocks that meet this condition.

Therefore, the total number of different combinations of 3 blocks can be selected by multiplying the choices at each step:

Number of combinations = 25 * 16 * 9 = 3600.

However, we need to account for the fact that the order of selection does not matter. So we divide the total number of combinations by the number of ways to arrange the 3 blocks, which is 3! (3 factorial) = 6.

Final number of different combinations = 3600 / 6 = 600.

However, we need to further consider that some of these combinations have blocks in the same row or column, violating the given condition. By analyzing the different possible scenarios, we find that there are 5 such combinations for each valid combination.

Therefore, the final number of different combinations of 3 blocks that can be selected from the set so that no two blocks are in the same row or column is 600 / 5 = 120.

Hence, there are 120 different combinations of 3 blocks that can be selected from the set under the given conditions.

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Answer: 53

Step-by-step explanation:

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

Negative 66.5 or -66.5

Step-by-step explanation:

You need to put minus before the number branliest me

Answer:

Method 1: Factoring

y = 5x² + 7x - 6

= 5x² + 10x - 3x - 6

= 5x(x + 2) - 3(x + 2)

= (5x - 3)(x + 2)

Method 2: Quadratic Formula

x = (-7 ± √(7² - 4 × 5 × -6)) / 2 × 5

= (-7 ± √(49 + 120)) / 10

= (-7 ± √169) / 10

= (-7 ± 13) / 10

x = 4/10 or x = -2

Simplify, we get:

x = 2/5 or x = -2

Therefore, the graph of y = 5x² + 7x - 6 intersects the x-axis at x = 2/5 and x = -2, so it intersects the x-axis twice.

Answer:

A

Step-by-step explanation:

(6,4)

3x-1y=14

-y= 3x-14

y=-2x+16

sub in first equation

3x-14 =-2x+16

3x+2x= 16 +14

5x = 30

x = 6

plug in x

y=-2x+16

y = -2(6)+16

y = 4

(6,4)

The recursive formula for the predicted number of speeding tickets issued each year in Middletown, starting from 2012 with an initial count of 190 tickets and growing by 10% each year, can be written as follows: N(year) = 1.1 * N(year - 1).

The recursive formula for the predicted number of speeding tickets each year is based on the assumption of exponential growth, where the number of tickets issued increases by 10% each year.

Let's denote N(year) as the predicted number of speeding tickets during a particular year. According to the given information, in the year 2012, Middletown issued 190 speeding tickets, which serves as our initial count or base case.

To calculate the number of tickets in subsequent years, we multiply the previous year's count by 1.1, representing a 10% increase. Therefore, the recursive formula for the predicted number of speeding tickets is:

N(year) = 1.1 * N(year - 1).

Using this formula, we can determine the predicted number of speeding tickets for any given year by recursively applying the growth rate of 10% to the previous year's count.

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The sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is 81,160.

It can be calculated by using the formula: `σ_p = √[p(1 - p)/n]`

Where:σ_p is the standard deviation of the sample proportion, p is the percentage of successes in the population, n is the sample size

First, we need to convert the given percentage to a decimal, which is:29% = 0.29

Next, we can substitute the values into the formula:0.05 = √[0.29(1 - 0.29)/n]

Squaring both sides, we get:0.0025 = 0.29(1 - 0.29)/n

Solving for n:

0.0025n = 0.29(1 - 0.29)

n = (0.29 × 0.71)/0.0025

n ≈ 81,160

Therefore, the sample size, n, required for the sampling distribution of sample proportions to have a standard deviation of 0.05 is approximately 81,160.

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The projected population of Agnewville in 5 years is 46,922 (rounded to the nearest whole number).

To determine the projected population of Agnewville in 5 years based on a growth rate of 4% per year, we can use the formula for exponential growth:

\(P = P₀(1 + r)^{t} \)

where:

P₀ = initial population

r = annual growth rate (as a decimal)

t = time period in years

P = population after t years

We can plug in the given values:

P₀ = 38,600 r = 0.04 t = 5

Then we can solve for P:

\(P = 38,600(1 + 0.04)^5 \\ P = 38,600(1.04)^5 \\ P = 38,600(1.21665)

\\ P = 46,922\)

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Answer:

I Think its B

Step-by-step explanation:

Edge 2021

Answer:

M=18

Step-by-step explanation:

2 = (M/2) - 7

2 + 7 = (M/2) - 7 + 7

9 = M/2

9*2 = M/2*2

18 = M

M = 18

answer= in explanation

explanation=

Subtract the two numbers, comment the answer you get and i will tell you the percentage ( i didn't want to give you the answer yet).

Answer:

9

Step-by-step explanation:

Answer:

1) y = -1.5x - 1     ||   2) y = -1.5x + 1    ||  3. D ( 2 , -8 )

Step-by-step explanation:

1)

two coordinates: ( 0 , -1 ) , ( 2 , -4 )

slope = ( y2-y1 )÷(x2-x1) = (-4--1)÷(2-0) = -1.5

then find equation using: y - y1 = m ( x - x1 )

                                        : y - - 1 = -1.5 ( x - 0 )

                                        : y = -1.5x - 1

2)

two coordinates: ( 0 , 1 ) , ( -2 , 4 )

slope = ( 4 - 1) ÷ (-2-0) = -1.5

Find equation using y = mx +b ........where m is slope and b is y-intercept

y = -1.5x + 1

3)

y + 8 = 3(x -2 )

y = 3x -14  ..........main equation in slope intercept form.

A)

y = 3(-2)-14

y = -20 .therefore option A is incorrect

B)

y = 3(8)-14

y = 10 .therefore option B is incorrect

C)

y = 3(-8)-14

y = -38.therefore option C is incorrect

D)

y = 3(2)-14

y = 6 -14

y = -8 . therefore it matches and is correct answer.

the line crosses D( 2 , -8 )

As per your questions,

IMAGE 1 :-

The equation is

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

(Explanation attached as 1st image. Check it!)

IMAGE 2 :-

The equation is

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

(Explanation attached as 2nd image. Check it!)

IMAGE 3 :-

When the point is (2,-8)

\(y + 8 = 3(x - 2)\)

\( = > - 8 + (- 8) = 3 \times (2 - 2)\)

\( = > 0 = 0\)

Therefore, (2,-8) is true.

So, the answer is the option (2,-8)

~ Benjemin360

The equation of ellipse with foci (-6,-1) and (-6,-7), and co-vertices (-2,-4) and (-10,-4) is \(\frac{(x+6)^2}{25}+\frac{(y+4)^2}{16}=1\)

What is equation of an ellipse?

The standard equation of an ellipse centered at (h, k) with a major axis parallel to the x-axis is given by:

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

where the coordinates of the vertex are (h±a, 0), coordinates of co-vertex are (h, k ± b) and the coordinates of foci are (h±c, k), where a² = c² + b².

According to the given question:

Given foci of the ellipse :

(-6, -1) and (-6, -7)

Co-vertices of the ellipse :

(-2, -4) and (-10, -4)

From the given foci and vertices ,

c = -1 - (-7) /2 = 3

b = -2 - (-10) /2 = 4

c² = a² + b²

∴ a² = 3 x 3 + 4 x 4 = 25

( h, k) = (-6 - 6 /2 , -1 - 7 / 2) = (-6, -4)

Equation of the ellipse is given by:

(x - h)²/ a² + (y - k)²/b² =1

(x - (-6))²/ 25 + (y - (-4))²/16 = 1

\(\frac{(x+6)^2}{25}+\frac{(y+4)^2}{16}=1\)

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Step-by-step explanation:

\(a = \frac{ 5{x}^{2} }{2} = 360 \\ b = \frac{2 {x}^{2}( x - 5) }{10x} \)

a =

\( \frac{5( {12}^{2} )}{2} = 360 = a \\ \frac{5(144)}{2} = 360 = a \\ 5(72) = 360 = a \\ a = 360\)

b =

\(b = \frac{2 {x}^{2} (x - 5)}{10x} \\ b = \frac{x(x - 5)}{5 } \\ b = \frac{ {x}^{2} - 5x}{5} \\ b = \frac{ {12}^{2} - 5(12) }{5} \\ b = \frac{144 - 60}{5} \\ b = \frac{84}{5} \\ b = 16.8\)

The required values are a = 360 and b = 16.8 when x = 12.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

The numerical expressions are given as:

a = 5x²/ 2 = 360

b = 2x² × (x-5) / 10x

To find the value of a when x = 12, we can substitute 12 for x in the expression for a:

a = 5(12)² / 2 = 360

To find the value of b when x = 12, we can substitute 12 for x in the expression for b:

b = 2(12)² × (12-5) / 10(12)

= 2(144) × 7 / 120

= 288 × 7 / 120

= 2016 / 120

= 16.8

Therefore, when x = 12, a = 360 and b = 16.8.

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