Which number line shows the solution set to this inequality? -2x + 9 < x − 9

Answer:

[tex]}\frac{\sqrt{2} }{2}[/tex] or 0.707

Step-by-step explanation:

cos(315) is equivalent to cos ([tex]\frac{7\pi }{4}[/tex])

You can look at the unit circle to find the cos value for this. Keep in mind that cos is the x value of the corresponding coordinate.

Answer:

Magda is incorrect

Step-by-step explanation:

Given

Formula:

[tex]K = \frac{P}{2.59M}[/tex]

Population Density of Canada = 3.57 people per km²

Population of Russia = 143.96 million

Land Mass of Russia = 6.593 million square miles

Required

Which country has a greater population density.

First, the population density of Russia needs to be calculated using the given formula;

[tex]K = \frac{P}{2.59M}[/tex]

Here, P = 143.96 million

M = 6.593 million square miles

Substitute these values in the above formula;

[tex]K = \frac{143.96}{2.59 * 6.593}[/tex]

[tex]K = \frac{143.96}{17.07587}[/tex]

[tex]K = 8.43[/tex] people per square miles

Before we can make any comparison, we have to convert the unit of K to people per square kilometre.

From unit of standard conversion;

1 square miles = 2.58999 square kilometre

Hence;

[tex]K = \frac{8.43}{2.58999}[/tex]

[tex]K = 3.25483882177[/tex]

[tex]K = 3.25[/tex] people per km²

Given that the Population Density of Canada = 3.57 people per km²

And We solved for the Population Density of Russia = 3.25 people per km²

By Comparison, the Population Density of Canada is greater than the Population Density of Russia;

Hence, Magda is incorrect

Answer:

16 notebooks

Step-by-step explanation:

I think you are asking how many notebooks she bought? just do 52/3.25=16

Answer:

The answer is 16 notebooks or in this case C

Step-by-step explanation:

Answer:

She ordered 85.7 packages as dog food

Step-by-step explanation:

Let b represent bird food, d represent dog food and c represent cat food.

The bird food is 4 times as much dog food. This can be represented as b = 4d

Also, the dog food is half the amount of cat food, it can be represented as d = 1/2c. Therefore, c = 2d

The total feed is 600.

Therefore dog feed + cat feed + bird feed = 600

d + 2d + 4d = 600

7d = 600

d = 600/7 = 85,7

She ordered 85.7 packages as dog food.

Answer:

Sunflower because it has the fewest number of them all

Sunflower is having the fewest number of 8 amongst all.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.

rose            -       16

lily               -       24

orchid         -       32

sunflower   -       8

From the above table we can see that the sunflower has the fewest number.

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Answer:

Using distance formula :

AB = [tex]\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}[/tex]

AB = [tex]\sqrt{81 + 16}[/tex]

AB = 9.85 units

Answer:

4x² + 12x + 9

Step-by-step explanation:

Simplify. Expand:

(2x + 3)² = (2x + 3)(2x + 3)

Use the FOIL method to solve.

FOIL =

First

Outside

Inside

Last

Multiply:

(2x)(2x) = 4x²

(2x)(3) = 6x

(3)(2x) = 6x

(3)(3) = 9

Combine like terms:

4x² + 6x + 6x + 9 = 4x² + (6x + 6x) + 9 = 4x² + 12x + 9

4x² + 12x + 9 is your answer.

~

Answer:

4x^2+12x+9

Step-by-step explanation:

use FOIL (first, inner, outer, last)

(2x+3)(2x+3)

4x^2+6x+6x+9

then simplify

Answer:

the slope is smaller

Step-by-step explanation:

Answer:

12.874cm

Step-by-step explanation:

given

r=d/2=4.1cm/2=2.05cm

c=2πr

c=2×3.14×2.05cm

c=2×3.14×2.05cm

c=6.28×2.05cm

c=12.874cm

Answer:

b) 29 of 50 for science

Step-by-step explanation:

We would be finding out his best results by calculating the percentage of his scores in the various exams he took.

a) 34 of 60 for history

34/ 60 × 100 = 56.67%

b) 29 of 50 for science

29/50 × 100 = 58%

c) 39 of 70 for Music

39/70 × 100 = 55.7%

d) 44 of 80 for Math

44/80 × 100 = 55%

Looking at the percentage of his scores in various subject in his exams, the subject with the highest percentage is the subject where he had the best result.

That subject with 58% = 29/50 for science.

Therefore, his best results is option b) 29 of 50 for science.

Answer: "x" : 3, "star" : 2/3, "circle" : 2 1/3, "square" : 4 2/3

Step-by-step explanation:

The number line is divided into segments that are thirds of a whole number. The question is asking where the shapes fall on the number line. For shapes that do not fall on a whole number, they fall on a fractional portion of a whole number, hence why they are a mixed number.

Answer:

y = 1x - 5

Step-by-step explanation:

It looks like the form that they want is Slope Intercept Form. :(

y = mx + b

The two points on the line are (5, 0) and (0, -5)

The slope is 1

The y - intercept is -5

y = 1x - 5

Answer:

1 * x - 5

Step-by-step explanation:

Y = mx + b

the equation will be 1 * x - 5

Please mark as brainliest

Answer:

L (t) = 0.37t + 39.67

Step-by-step explanation:

I have this question

The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain country.

According to the given statements,

Statement(3):-

The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.

Therefore, Statement (3) is CORRECT.

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Answer:

It was colder on Wednesday morning than Monday morning.

Step-by-step explanation:

(How I know)

-Friday did not have the coldest temperature because Wednesday did.

-it became warmer after Wednesday

-It was colder on Wednesday morning than on Tuesday morning

--8 degrees is colder than -2 degrees.

It was colder on Wednesday morning than Monday morning. Then the correct option is D.

The degree of warmness and coldness is determined by the temperature.

Anna sees a thermometer each morning when she walks out of her house to get on the school bus.

In the following table, she recorded the outdoor temperature each morning for five days.

      Days                         Temperature

   Monday                               -2 °C

  Tuesday                               -3 °C

Wednesday                            -8 °C

  Thursday                             -5 °C

    Friday                                 0 °C

If temperature is negative, then it means more coldness.

It was colder on Wednesday morning than Monday morning.

Then the correct option is D.

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Answer:

5a + 5b - 6b

Step-by-step explanation:

In an equation -

2a + 8b + 10  - x  =   -3a + 7b +16

-x = -3a + 7b +16 -2a - 8b - 10

-x = -5a -b + 6

x = -(-5a -b + 6)

x = 5a + 5b - 6b

Answer:

The correct answer is 6.

Step-by-step explanation:

There are "six" blue marbles in the given bag, which is the correct answer would be an option (D).

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth.

The probability of randomly selecting a green marble and then randomly selecting a blue marble is 1/5 x P(blue), where P(blue) is the probability of selecting a blue marble.

As per the question, the probability of this event is 2/25, so we can set up the equation 1/5 x P(blue) = 2/25.

Solving for P(blue), we find that P(blue) = 2/5.

Since the probability of selecting a blue marble is 2/5, and there are 15 marbles in the bag, the number of blue marbles in the bag must be 15 x (2/5) = 6.

Therefore, the number of blue marbles in the bag must be 6.

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Answer:

[tex] \boxed{B. \: 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2} [/tex]

Step-by-step explanation:

[tex] = > (2 {x}^{6} + 8 {x}^{2} - x + 1) + (3 {x}^{6} + 5 {x}^{5} + 1) \\ \\ = > 2 {x}^{6} + 8 {x}^{2} - x + 1 + 3 {x}^{6} + 5 {x}^{5} + 1 \\ \\ = > 2 {x}^{6} + 3 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 1 + 1 \\ \\ = > 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2[/tex]

The polynomial representing the sum is [tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).

The polynomial that represents the sum of the two polynomials is:

[tex](2x^6 + 8x^2 - x + 1) + (3x^6 + 5x^5 + 1)[/tex]

Combining like terms, we can simplify the expression:

[tex]2x^6 + 3x^6 + 8x^2 + 5x^5 - x + 1 + 1[/tex]

Now, combining the like terms further:

[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex]

Therefore, the polynomial that represents the sum is:

[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).

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Given Information:

Principle amount = P = $6,000

Interest rate = r = 4% = 0.04

Period in years = t = 5

Required Information:

How much interest will he earn in 5 years = ?

Answer:

Amount of interest = $1,299.92

Step-by-step explanation:

Using the formula given in the question,

[tex]B = P(1 + r )^{t}[/tex]

Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years

[tex]B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92[/tex]

The amount of interest earned is

[tex]Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92[/tex]

Therefore, Quincy has earned $1,299.92 in terms of interest by investing  $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.

Answer:

Larger hose will take 18 minutes and 45 seconds

Step-by-step explanation:

ONE smaller hose fills the pool in 5*15 = 75 minutes.One large hose can do this job in  75/4 minutes = 18 3/4 minutes = 18 minutes and 45 seconds

The larger hose will take 18 minutes and 45 seconds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

One smaller hose fills the pool in 5 x 15 = 75 minutes.

One large hose can do this job,

Time = 75/4 minutes = 18 3/4 minutes

Time = 18 minutes and 45 seconds

Therefore, the larger hose will take 18 minutes and 45 seconds.

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Answer:

36

Step-by-step explanation:

Given

x² + 12x

To make the polynomial a perfect square

add ( half the coefficient of the x- term)²

= x² + 12x + 6²

= x² + 12x + 36

= (x + 6)² ← a perfect square

Answer:

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

2x+9 < 9

can be rewritten as

2x < 0

and therefore

x < 0

the other inequality states that x hat to be bigger then -12

so all integers that satisfy -12 < x < 0 are in the set we search, but be aware that -12 and 0 don't fall into this set, bc -12 for example isn't bigger than -12

Answer:

The integers that satisfy both inequalities are -5, -6, -7, -8, -9, -10 and -11.

Step-by-step explanation:

Firstly, you have to solve the inequality :

[tex]2x + 9 < 0 [/tex]

[tex]2x < - 9[/tex]

[tex]x < - \frac{9}{2} [/tex]

[tex]x < - 4.5[/tex]

Next, given that x is greater than -12 but smaller than -4.5 so the inequality for x is :

[tex] - 12 < x < - 4.5[/tex]

Integer is a positive or a negative number but 'cannot be written in the form of decimal'. So the integers that satisfy both inequalities are :

[tex] - 12 < x < - 4.5[/tex]

[tex]x = - 11, - 10, - 9, - 8, - 7, - 6, - 5[/tex]

Answer:

the length of the arc = 4

Step-by-step explanation:

72/360=x/20

360x=1440

x=4

Therefore, the length of the arc = 4

I hope this helped and have a good rest of your day!

Answer:

The answer would be arc=4

Step-by-step explanation:

Answer:

(7, 5)

Step-by-step explanation:

9-2=7 x-coordinate

0+5=5 y-coordinate

Answer:

10,000-500=9,500 is  what it is worth

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation of line

Answer:69

Step-by-step explanation:ejwndj wdedwedew

Answer:

1/ 5^7

Step-by-step explanation:

5^-4 / 5^3 is the same as (5^-4 / 1) * (1/5^3)

5^-4 turns into 1 / 5^4

So you have 1/ (5^4 * 5^3)

When multiplying two of the same numbers you add the exponents giving you 1/ (5^7)

Answer:

62

Step-by-step explanation:

hope this helps

Answer:

4.8

Step-by-step explanation:

Answer:

4.8 miles

Step-by-step explanation:

Let's make a proportion using this setup:

miles/minutes=miles/minutes

We know that Nicole runs 6 miles in 55 minutes. We don't know how many miles she runs in 44 minutes, so we can say she runs x miles in 44 minutes.

6 miles/55 minutes=x miles/44 minutes

6/55=x/44

Now, we have to find x. To do this, we need to get x by itself. x is being divided by 44. To undo this, multiply both sides by 44, since multiplication is the opposite of division.

44*(6/55)=(x/44)*44

The 44s on the right cancel, so we are left with:

44*6/55=x

4.8=x

Nicole can run 4.8 miles in 44 minutes

Answer:

12cm

Step-by-step explanation: