find the height of the trapezoidA=80 CM2 7Cm9CM

To solve this inequality, you can add 1 to both sides of the inequality to get:

−7 + 1 < x − 1 + 1 < 8 + 1

-6 < x < 9

This inequality is a compound inequality, which is made up of two separate inequalities joined by the word "and".

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 single fraction is 7x/20

A fraction can be defined as the part of a whole variable, number or element.

The different types of fractions are;

Algebraic expressions are mathematical expressions consisting of terms, coefficients, variables, factors and constants.

They are made of operations such as multiplication, addition, subtraction, division, etc

Given the expression;

3/4x - 2/5x

Find the LCM

15x - 8x/20

7x/20

Thus, the value is 7x/20

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Answer:

18/30

Step-by-step explanation:

He has been out of town 18 out of the 30 days. You can simplify this to 6/10.

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Answer:

2:3

Step-by-step explanation:

The common factor between 10 and 15 is 5.

5 goes into 10 twice and 15 three times.

\(\frac{15}{10}\) ÷ \(\frac{5}{5} = \frac{2}{3}\)

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

D

Step-by-step explanation:

Let's pretend to use 6 as Sam's age.

Six divided by two is three, plus ten is 13.

Now let's work it backwards.

"half of Sam's age"

S/2

"Alison's age is 10 more"

+10

Put these together and it's S/2+10.

Using the equation 7.75 + 3x = 10 the prices for pizza is -

In 2010 - $7

In 2011 - $7.75

In 2012 - $8.5

In 2013 - $9.25

In 2014 - $10

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Pizza Paradise started in 2010.

The price in 2011 was increased at it was = $7.75

After 3 years on increasing the price at constant rate in 2014 the price was = $10.

Let the original price of pizza in 2010 be increased by a rate x.

Since the price increased is constant, so the equation will be linear.

The linear equation is -

7.75 + 3x = 10                                                                                                    3x = 10 - 7.75

x = 2.25 / 3

x = 0.75

So, price is increased every year by $0.75.

The original price of the pizza in 2010 was -

7.75 - 0.75 = $7

The price of the pizza in 2012 was -

7.75 + 0.75 = $8.5

The price of the pizza in 2013 was -

7.75 + 2(0.75) = $9.25

So, the equation becomes -

y = 0.75x + 6.25

The slope of the line m = 0.75 suggests the increase in price at a constant rate of $0.75.

The y-intercept b = 6.25 is the constant value. Tis means the lowest price of pizza is $6.25.

The graph of the equation is plotted.

Therefore, the price is increased every year by $0.75.

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Answer:

36 potatoes in one hour

Step-by-step explanation:

⇒ You can write the ratio of 6 potatoes for every 10 minutes as:

6 potatoes : 10 minutes

⇒ Since there are 60 minutes in an hour, you can just multiply the whole ratio by 6 to get the 10 minutes to 60 minutes:

36 potatoes : 60 minutes

Answer: 36 potatoes in one hour

Hope this helps! :)

The equation of the line secant to the cubic equation y = x³ - x + 4 is equal to y = 3 · x + 4.

In this problem we find the case of a cubic equation that is intersected twice by a line, that is, a secant line. According to analytical geometry, lines are described by equations of the form:

y = m · x + b

Where:

Where the slope of the line is determined by secant line formula:

m = Δy / Δx

First, determine the slope of the secant line:

x = - 2

y = (- 2)³ - (- 2) + 4

y = - 2

x = 2

y = 2³ - 2 + 4

y = 10

m = [10 - (- 2)] / [2 - (- 2)]

m = 3

Second, calculate the intercept of the linear function:

b = y - m · x

b = 10 - 3 · 2

b = 10 - 6

b = 4

Third, write the equation of the secant line:

y = 3 · x + 4

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Answer:

Step-by-step explanation:

we need to find $ for 1 ounce

how do we make 50.5 to 1

50.5 ___ = 1

if you divide something by itself it = 1

50.5 ÷ 50.5 = 1

now  do the same but to the $

20.20 ÷ 50.5

= $???

that will be the amount for 1 ounce

The function is an exponential growth function

The function is given as

y=2(1.06)^9

We can begin by rewriting the given equation as:

y = 2 * 1.06t

So, we have

y = 2 * (1 + 0.06)^t

Now we can see that the equation is in the form y = a*b^t,

where a = 2 and b = 1.06^9

This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.

We can re-write it in the form y = a(1+r)t,

we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.

so we have y = 2(1+0.06)^t

So, the equation represents exponential growth with a = 2 and r = 0.06

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

i think its 2 1

Step-by-step explanation:

Answer:

y =2/3x-1

Step-by-step explanation:

First find the slope

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

   = ( 3-1)/ (6-3)

   = 2/3

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2/3x +b

Using a point

3 = 2/3(6)+b

3 = 4+b

3-4 =b

-1=b

y =2/3x-1

Answer:

22 days

Step-by-step explanation:

55 divided by 2.5=22 days

Answer: 22 Days

Step-by-step explanation:

-55.00/2.50= -22
But since you can’t have a negative answer then you have to make it positive for your amount of days! So it would take that person 22 days to have 0 in his account!

- I hope this helped! I tried my best but definitely double check with your teacher for this answer!

Answer:

wow tim has 6 friends, he has 6 more friends than me

Step-by-step explanation:

Since each year the car depreciates $2000, independently of the initial value, we can represent the car worth by the equation:

a) Using the variables mentioned in the problem, the equation is:

b) We need to set y=16000 and solve for x, as follows:

Then, after 4 years, the car's value will be $16,000.

c) To graph it more easily I will reduce the scale by a factor of 1:1000

Regarding the scale, in the graph above the value of 24 in the y-axis represent $24000 and so on.

Answer:

The answer is down by the image below!!!

Step-by-step explanation:

Pi/π—is defined as the ratio of the circumference of a circle to its diameter. The ratio will always be equal to pi even if the size of the circle changes.  Pi is equals to \(\dfrac{22}{7}\).

The value of pi is infinite and it is impossible to remember the value so far. We just need the value up to 4 or 5 decimal places. The value of pi to 5 decimal place is 3.14285.

The value of pi when calculated to hundred-thousandths place, is 4.

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

5

Step-by-step explanation:

We know that - (-7) = +7, so

-2 - (-7) = -2 + 7 = 5

We know that cos(45) = sin(45) = √2/2.

Substituting these values, we can simplify the expression as follows:

4cos(45) - 2sin(45)

= 4(√2/2) - 2(√2/2) (substituting cos(45) and sin(45) values)

= 2√2 - √2

= √2

Therefore, the answer is √2.

The answer is C.

\(f(x) =\frac{12}{x} -18 \\g(x) = \frac{12}{x-8}\)

Step by step ex[planation:

To solve for the inverse of the first function

Replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)

Here , the option C is correct because:

f(x)=18/x-9

y=18/x-9

x=18/y-9

x+9=18/y

y(x+9)=18

y=18/(x+9)

f⁻¹(x)=18/(x+9)

So , the correct, the answer is C

Option (A) represents the function and its inverse of a function option (A) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\(\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \ \ \ g(x) = 4x -10\)

Taking f(x):

\(\rm f(x) = \dfrac{x}{4}+10\)

To find the inverse of a function interchange the x and y variables:

f(x) → x

x  → g(x)

\(\rm x = \dfrac{g(x)}{4}+10\)

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

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Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer: 5:5

Step-by-step explanation:

Use the information to figure out how much you have of each color, then put in ratio.

Answer:

Step-by-step explanation:

Since for every 9 campers there is one counselor, we can state:

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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