Solve for x 345 = 5x Express the answer to the hundredths place (i.e., two digits after the decimal point).

Answer:

3 2/2 = 4

Step-by-step explanation:

Since there is 3 groups of 2, we put that on the left side. Then, there is 2 out of 2 groups of numbers left over. That's just 1 but they asked us to write it as a mixed fraction so it would be 3 2/2.

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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The set of = {

all x = x

| = such that

25)

less than 10 and greater than 2

10>x>2

{x| 10>x>2 }

26) greater than 7 and less than 7

7{x| 7

The "small " end of the sign < always points to the smaller number.

Answer:

1/10

Step-by-step explanation:

2.50-2=0.5

0.5/2=0.25

0.25+2=2.25

2.5-2.25=0.25

0.25/2.5= 0.1

0.1 = 1/10

Answer: search it and i cant see well so sorry

Step-by-step explanation: research

Answer:

See below

Step-by-step explanation:

Part 1:

= 3x - 2

Given that x = 7

= 3(7) - 2

= 21 - 2

\(\boxed{= \ 19}\)

Part 2:

= 3x + 7

3 => Coefficient

x => variable

\(\boxed{7 => constant}\)

Part 3:

More than => +

So,

The expression is:

= 12 + b

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

-80 percent

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

19/95=0.20

100%-20%=80%

80%*95=76

95-76=19

Answer:

\(m-n=2\)

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

\(f(x)=a(x-h)^2+k\)

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

\(f(x)=a(x-2)^2-4\)

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

\(12=a((4)-2)^2-4\)

Solve for a. Subtract within the parentheses:

\(12=a(2)^2-4\)

Add 4 to both sides:

\(16=a(2)^2\)

Square:

\(16=4a\)

Solve:

\(a=4\)

Thererfore, the value of a is 4.

So, our function is:

\(f(x)=4(x-2)^2-4\)

Now, let’s find our roots. Set the equation to 0 and solve for x:

\(0=4(x-2)^2-4\)

\(4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1\)

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

To multiply mixed numbers, convert to improper fractions, cancel factors, multiply the remaining factors, and simplify if possible.

Increasing blended numbers can be tedious, yet there is an easy route that can work on the interaction. To duplicate blended numbers, convert them to ill-advised portions, then drop any elements that show up in both the numerator and denominator of the divisions. At long last, duplicate the leftover elements in the numerator and denominator and work on the subsequent division if conceivable. For instance, to duplicate 2 1/2 by 3 2/3, first proselyte them to inappropriate divisions, which are 5/2 and 11/3. Then, drop the variable of 2 in the numerator of the principal portion and the denominator of the subsequent division. The outcome is 55/3, which can be improved to 18 1/3. This alternate way can save time and assist understudies with taking care of augmentation issues all the more proficiently.

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Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

The given time series data is represented by the pairs (t, y(t)): (1, 6), (2, 11), (3, 9), (4, 14), and (5, 15).

The time series data provided consists of values of the dependent variable y at different time points t. In this case, we have the values of y at time points 1, 2, 3, 4, and 5. The corresponding values of y are 6, 11, 9, 14, and 15, respectively.

Time series data is commonly used in various fields, such as economics, finance, and engineering, to analyze patterns and trends over time. By examining the values in the given time series, one can identify any trends, seasonality, or other patterns that may be present in the data.

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Answer:

1

Step-by-step explanation:

The y-intercept is the point at which the line intersects the y-axis. The x will always be equal to 0. Here, when x = 0, y = 1. This is the top option.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Hi!

I can help you with joy! :)

Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept)

Now, where does the graph touch the y-axis?

It touches the y-axis at (0,1)

Thus, the y-intercept is 1.

I hope this helps you!

Enjoy your day :)

\(\bf{MistySparkles :)\)

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = \(\sqrt{5*5*3 * i * i}= 5i\sqrt{3}\)

\(x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i\)

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Using substitution of the provided value x in the given function f(x), The answer is 7.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

A condition that must be met in order for the given statement or theorem to hold. also known as a standard.

x=-1

f(x) = 2x-6x+3

using x in f(x),

f(x) = -2 +6 +3

=7

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Answer:

it would be 9 kilograms

Step-by-step explanation:

Answer:

it should be 9 because 15%×60 but I dont know if that changes with weight

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

The function that models this situation can be written as:

f(x) = 0.45x + 12.50

In this function, "x" represents the number of checks written during the month. The term "0.45x" represents the monthly charge for maintaining the account based on the number of checks written (0.45 for each check). The term "12.50" represents the service charge.

To calculate the total monthly charge, you would substitute the value of "x" into the function. For example, if you wrote 10 checks during the month, the total monthly charge would be:

f(10) = 0.45(10) + 12.50
      = 4.50 + 12.50
      = $17.00

In conclusion, the function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

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Answer:

x=5 and y=1

Step-by-step explanation:

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

Statement                                     Reason

∠1 = ∠2, WX = ZY                            Given

WP = ZP                                         converse of isosceles triangle  theorem

△WXP ≅ △ZYP                              SAS

XP = YP                                           CPCT

∠3 = ∠4                                          Isosceles triangle  teorem

What is the isosceles triangle?

A triangle's corresponding angles are congruent if its two sides are.

Given that ∠1 = ∠2, WX = ZY.

Statement 1 is given.

According to the converse of the isosceles triangle theorem:

WP = ZP  

SAS rule: If the two sides and an included angle of one triangle match the two sides and an included angle of the other, then two triangles are said to be congruent. This is referred to as SAS congruency.

In triangles △WXP and △ZYP:

∠1 = ∠2

WX = ZY.

WP = ZP

According to SAS rule,  △WXP ≅ △ZYP

By CPCT, XP = YP

Again the isosceles triangle theorem ∠3 = ∠4.

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SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

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Find his speed by dividing 366 miles by 6 hours:

366/6 = 61 miles per hour.

Divide 427 miles by 61 miles per hour to find the time:

427/61 = 7 hours

The answer is 7 hours.

Answer:

8 1/2 hours

Step-by-step explanation:

Sped

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Answer: 3y+6

Step-by-step explanation:

If a user is using a faulty HDMI cable, possible symptoms the user may experience include:

No display Blank screen Display with flickers Audio issues Selecting the right kind of HDMI cable is critical when it comes to getting the most out of your High-Definition entertainment experience.

Why to choose best HDMI cables?

HDMI cables can be found at any electronics store or online but, with so many choices and so much technological jargon, how do you know which one to choose? There are numerous types of HDMI cables on the market, but the majority of consumers are concerned about finding the best one. To select the best HDMI cable, users should look for the length of the cable and the type of cable. Different kinds of HDMI cables may result in different problems that could affect the user's experience, such as the symptoms mentioned above.

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The graph below represents which system of inequalities is: y ≤ −2x + 3 and y ≥ x + 3.

Based on the given description of the graph, the correct system of inequalities represented is:

y ≤ −2x + 3

y ≥ x + 3

The first line passing through the points (0, 2) and (-2, 4) has a slope of -2, and the inequality y ≤ -2x + 3 indicates that the shaded region is below the line.

The second line passing through the points (0, 2) and (2, 0) has a slope of -1, and the inequality y ≥ x + 3 indicates that the shaded region is above the line.

According to the graph's description, the right system of inequalities is represented by the following equations: y = 2x + 3 y = x + 3

The shaded area lies below the first line, which has a slope of -2 and passes through the points (0, 2) and (-2, 4), according to the inequality y -2x + 3.

The shaded area lies above the second line, which has a slope of -1 and passes through the points (0, 2) and (2, 0), according to the inequality y x + 3.

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Answer:

lol im guessing b?

Step-by-step explanation:

tell me if i got it wrong if so ill try to fix my answer