Sequence of 2,4,7,17,33 what is the next term after 33

Answer:

[tex]y=1.5x+3[/tex]

Step-by-step explanation:

Observing the graph

Let

[tex]A(0,3)[/tex] -----> this point is the y-intercept of the line

[tex]B(2,6)[/tex]

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

[tex]b=3[/tex]

Find the slope of the line m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{6-3}{2-0}[/tex]

[tex]m=\frac{3}{2}[/tex]

[tex]m=1.5[/tex]

The equation of the line is

[tex]y=1.5x+3[/tex]

The equation of the line that passes through the points (0, 3) and (2, 6) is y = 1.5x + 3. The slope (m) is calculated as 1.5 and the y-intercept (b) is 3.

To find the equation of a line that passes through two points, you'll first have to find the slope (m), and then find the y-intercept (b). Linear equations are typically represented in the form y = mx + b, where m is the slope and b is the y-intercept.

The line passes through points (0, 3) and (2, 6). To calculate the slope m, we use the formula (y2-y1)/(x2-x1). Plugging in our points, we get (6-3)/(2-0) = 1.5. This is our slope.

Next, we want to use the formula  y = mx + b to calculate b. Since the line passes through the point (0,3), we know that when x = 0, y = 3. Plugging these values into the equation along with our determined slope, we get 3 = 1.5*0 + b. Solving for b reveals that our y-intercept is 3.

Therefore, the equation for this line appears as: y = 1.5x + 3.

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this coming off the top of my head but it's either C or A

Answer: B) 20 in

I plugged it into a calculator for this specific formula.

Answer:

a. x = 13

b. x = 7

c. x = 24

d. x = Undefined

Step-by-step explanation:

Since all the bases are the same the power it is raised by is equivalent to the sum's power.

In mathematical terms

.

.

x^a + x^b = x^a+b

So all we have to do is add up the exponents and make them equivalent to each other.

For the last question, it is impossible since the powers added cannot ever be equal to each other.

9+x can never equal 4+x so it is undefined.

Answer:

Step-by-step explanation:

So what you do is

1 cup = 8 fluid ounces

(Don’t use that)

So you is

“Since 1 cup= 8 fluid ounces, what you do is multiply by 2. 8 times 2 is 16 , 3 times 8 is 24. 24+16 is 40” there’s your answer

The equation that shows the relation between the cups of sparkling water (s) and apple juice (j) mixed by Jada is 2s = j, meaning that the quantity of apple juice is always twice the quantity of sparkling water.

In the question provided, we're given that Jada makes her sparkling juice by mixing 2 cups of sparkling water and 3 cups of apple juice. Let's define s as the number of cups of sparkling water, and j as the number of cups of apple juice. Given this, the equation that shows how s and j are related is 2s = j. This equation expresses that the quantity of apple juice (j) is always twice the quantity of sparkling water (s).

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Answer:

2/10 or 1/5 of the flowers are daises.

4/10 of the flowers are tulips.

Since there is 10 flowers, that will be your denominator. 2 out of the ten flowers, so 2 is your numerator. There is 8 flowers left over and half of that is 4.

Answer:

C=s+4

Step-by-step explanation:

Hope this helps!

Answer:

C is the correct answer.

Step-by-step explanation:

Look at the X values for each coordinate pair. If an X value is represented twice with different Y values, it is not a function. If no X value is repeated, or it is repeated but has the same Y value, then it is a function. A has two values for x = 1, B has two values for x = -3, D has two values for x = 7, but C does not, so it is the correct answer.

Answer:

[tex]x=\frac{\pi}{2}[/tex]  and  [tex]x=\frac{3\pi}{2}[/tex]

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

Note: The identity  [tex]cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)[/tex]

[tex]cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]

So they intersect at  [tex]x=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]

Answer:

x=pi/2 and x=3pi/2

Step-by-step explanation:

Answer:

172 cm^2

Step-by-step explanation:

Since it is a rectangular prism, you would have 6 sides, with two of them being the same. Each side is the values but multiplied by each other. So 7x2, 8x2, and 7x8. If you add them up it would be 14+16+56= 86, but that is only 3 sides, so you need to multiply 86 by 2, thus 172.

Answer:

1

Step-by-step explanation:

common denominator is 12

6 11/12 - (2 3/12 + 3 8/12)

6 11/12 - 5 11/12

1

Answer:

[tex]\$20,173.31[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=18\ years\\ A=\$34,000\\ r=0.029[/tex]  

substitute in the formula above  

[tex]34,000=P(e)^{0.029*18}[/tex]  

[tex]P=34,000/((e)^{0.029*18})=\$20,173.31[/tex]  

Answer:

26 in²

Step-by-step explanation:

area of triangle half base times height

gives you 20 and 6

Answer:

WEDNESDAY: 45 planted.

THURSDAY: 22 Harvested.

Step-by-step explanation:

Based on the information given in the problem, Maeve plants 5 trees for every 2 tree she harvests. Then the ratio can be expressed as following:

[tex]5:2[/tex] or [tex]\frac{5}{2}[/tex]

Then, you can complete the values in the table as you can see below:

WEDNESDAY

[tex]\frac{5}{2}=\frac{planted}{18}\\\\planted=\frac{18*5}{2}\\\\planted=45[/tex]

THURDAY

[tex]\frac{5}{2}=\frac{55}{harvested}\\\\(harvested)(\frac{5}{2})=55\\\\harvested=\frac{55*2}{5}\\\\harvested=22[/tex]

Answer:

Wed --------45---------

Thu ---------22-----------

Answer:

m∠CAO=8º

m∠SAC=82º

Step-by-step explanation:

We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.

OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.

Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.

To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.

Final answer:

To find 4 divided by 1/5, multiply 4 by the reciprocal of 1/5, which is 5, resulting in an answer of 20.

Explanation:

To solve the division problem 4 ÷ 1/5, you can utilize multiplication by the reciprocal of the fraction. Recall that dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, the reciprocal of 1/5 is 5/1, because when you flip the numerator and denominator of 1/5, you get 5.

Now, you can rewrite the original equation as a multiplication problem: 4 × 5/1. When you multiply fractions, you multiply the numerators with numerators and the denominators with denominators. Since the denominator of 5/1 is 1, multiplying by it doesn't change the value of the numerator. Thus, multiplying 4 by 5 gives you the answer 20.

The answer is to your question is 7:35.

Answer:

7:35 AM or PM

Step-by-step explanation:

depends on what time of day it is AM is daytime and PM is nightime. Ithink I deserver brainliest compared to the other answer. Up to you though.

Answer:

250 m

Step-by-step explanation:

Final answer:

To find how far 3.5 km will be on a map with a scale of 1:25,000, convert the distance to meters (3,500 m) and then divide by the scale factor (25,000) to get the map distance, which is 14 centimeters.

Explanation:

When working with map scale, it's essential to understand how to convert distances on a map to actual distances in the real world. In this particular case, we have a map with a scale of 1:25,000, which means that 1 unit on the map is equivalent to 25,000 units in real life. David has walked a distance of 3.5 km in reality, and we need to calculate how far this would be represented on the map.

To convert David's actual walking distance to the map distance, we first need to express the 3.5 km in the same unit that is used in the map scale, which is meters. Since 1 km equals 1,000 meters, David walked 3,500 meters. Simply divide the actual distance walked by the scale factor to find the distance on the map:

Map distance = Actual distance / Scale

Map distance = 3,500 meters / 25,000

Map distance = 0.14 meters

Map distance = 14 centimeters

Thus, on the map, David's 3.5 km walk will be represented by a line that is 14 centimeters long.

Answer:

30 , 45 , 51 , 39

Step-by-step explanation:

You just add up the numbers until you get 165

Number of beads of each color in Yasmin's bag is:

  Red--   30

  Brown--  45

 Orange-- 51

Yellow--  39

The record of experiment are as follows:

Color                    Red            Brown       Orange  Yellow

Number of Beads     10           15              17      13

Total number of beads recorded=10+15+17+13=55 beads

Also, the Probability of Red bead is=10/55

Probability of Brown bead is=15/55

Probability of Orange bead is=17/55

Probability of Yellow bead is=13/55

Number of red beads in Yasmin's bag are:

[tex]\dfrac{10}{55}\times 165=30[/tex]

Number of brown beads in Yasmin's bag are:

[tex]\dfrac{15}{55}\times 165=45[/tex]

Number of orange beads in Yasmin's bag are:

[tex]\dfrac{17}{55}\times 165=51[/tex]

Number of yellow beads in Yasmin's bag are:

[tex]\dfrac{13}{55}\times 165=39[/tex]

Answer:

2x^3 +3x^2 + 12x - 8

Step-by-step explanation:

(x^2- 4x + 8)(2x-1)

we expand the notation by using (2x-1)

2x(x^2 - 4x + 8) -1(x^2- 4x +8)

= 2x^3 -8x^2 +16x -x^2 + 4x -8

collect like terms

2^3 - 8x^2 - x^2 +16x + 4x -8

2x^3 + 7x^2 + 20x - 8

Answer:

The dependent variable is the cost of renting a boat

Step-by-step explanation:

Let

x-----> the number of hours

y----> the cost of renting a boat

In this problem

The independent variable is the number of hours

The dependent variable is the cost of renting a boat

Answer:

cost

Step-by-step explanation:

Answer:

pie equals 3.14159265359 but it's always rounded to just 3.14 so you don't have to write all of those numbers.

Pie equals 22/7

Pi (π) is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159.

It is represented by the Greek letter "π" .

It is the circumference of any circle, divided by its diameter.

Answer:

  natural numbers: integers n for n ≥ 1

Step-by-step explanation:

As it is for any sequence, the domain of term numbers (n) is the positive integers, the natural numbers.

__

In general, the domain of any "n' that represents something being counted will be the counting numbers. These are also referred to as "natural numbers" or "positive integers." For integer n, n ≥ 1.

__

Additional comment

The geometric sequence described in this problem statement is represented by the exponential function ...

  a(n) = 3(-1)^n

This evaluates to a real number (3 or -3) for all integer values of n, and for some fractional values of n. In the complex numbers, the function is defined for all real and complex values of n.

Answer:

All integers where n ≥ 1

Step-by-step explanation:

credit: https://brainly.com/question/1446605 hope this helps

The question involves understanding exponential growth in Mathematics. The cost of concert tickets is increasing by 8% each day, as calculated using the given prices for two successive days.

The student's question pertains to exponential growth, a concept in Mathematics. Here, the increase in the cost of tickets is an example of exponential growth, where the growth rate is proportional to the current value. You can determine the daily percentage increase by using the formula for exponential growth:[tex](today's cost / yesterday's cost) ^ (^1^ /^ n^u^m^b^e^r^ o^f^ d^a^y^s^ b^e^t^w^e^e^n ^t^h^e^ d^a^t^e^s^) - 1.[/tex]

Here, the cost of the concert was $150 yesterday, and today it is $162. Insert these amounts into the formula, and we get [tex](162 / 150) ^ (^1^ /^ 1^) - 1[/tex]= 0.08 or 8%. Therefore, the ticket prices increase by 8% daily.

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To determine the daily percent increase in the price of concert tickets, use the exponential growth formula. The tickets increased from $150 to $162 in one day, resulting in a calculated daily percent increase of 8%.

The student asked: Tickets for a concert have been in incredibly high demand, and as the date for the concert draws closer, the price of tickets increases exponentially.

A pair of concert tickets cost $150 yesterday, and today is $162. As you complete the parts below, assume that each day's percent increase from the day before is the same.

To find the daily per cent increase, we assume an exponential growth model where ticket prices grow by a constant percentage each day.

Let's denote yesterday's price as P₀ = 150 and today's price as P₁ = 162.

Step-by-Step Explanation:

Define the exponential growth formula: P₁ = P₀ * (1 + r), where r is the daily rate of increase.

→ Substitute the known values into the formula: 162 = 150 * (1 + r).

→ Solve for the rate r: Divide both sides of the equation by 150 to isolate (1 + r).162 / 150 = (1 + r), simplifying to 1.08 = 1 + r.

→ Subtract 1 from both sides to solve for r: r = 0.08.

→ Convert the rate to a percentage: r = 0.08 * 100

                                                          = 8%.

Therefore, the daily percent increase in the price of the concert tickets is 8%.

Answer:

0.14

Step-by-step explanation:

1. 10 ft

2. 15 ft

3. 36 meters

4. 4 ft

Hope this helps!

Answer:

5. 96 ft³

6. 108 cm³

Step-by-step explanation:

I will answer in spite.

5. To find the volume, seperate the figure into two separate rectangles (one long one along the bottom, and one small one sitting on top).

The volume of rectangle one is 4ft × 9 ft × 2ft = 72 ft³.

The volume of rectangle two is 4ft × 3ft × 2ft = 24 ft³.

72 ft³ + 24 ft³ = 96 ft³.

6. Patty treated the figure as two separate rectangles with the dimensions 2x3x11 and 2x3x10, not taking into account the space where the rectangles meet.

She should have calculated (2x3x11) + (2x3x7), which is 108 cm³.

You're welcome Mr. Harvard.

Answer:

What is the attribute being measured?

A)  inches  

B)  height  

C)  overweight males  

D)  number of adult males

Step-by-step explanation:

Answer:It´s B, just did the assessment.

Step-by-step explanation:

Answer:

I can't see the whole problem but if it says how many times per week does he practice it would be 13 times

Step-by-step explanation:

9 3/4 divided by 3/4.

39/4 times 4/3=13

The answer is:

There are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

We can solve this problem creating a system of equations. Let's make the two equations that will help us to solve the problem.

From the statement we know that a solution of 70 liters of a 40% is needed, and there are two differents solutions available, of 30% and 60% and we need to use them to make 70 liters of a  40% solution, so:

So:

[tex]30(Percent)SolutionVolume=X\\60(Percent)SolutionVolume=Y[/tex]

If both solutions will make a 70 liters solution, so the first equation will be:

[tex]x+y=70L[/tex]

Let's work with real numbers converting the percent values into real numbers by dividing it into 100, so:

[tex]30(Percent)=\frac{30}{100}=0.3\\\\40(Percent)=\frac{40}{100}=0.4\\\\60(Percent)=\frac{60}{100}=0.6[/tex]

Then, we know that both solutions will make 70 liters of a 40% solution, so the second equation will be:

[tex]0.30x+0.60y=0.4*70[/tex]

Therefore, from the first equation we have:

[tex]x=70-y[/tex]

Then, substituting x into the second equation to find y, we have:

[tex]0.30(70-y)+0.60y=28\\21-0.30y+0.60y=28\\0.3y=28-21\\y=\frac{7}{0.3}=23.33[/tex]

Hence, substituting y into the first equation to find x, we have:

[tex]x=70-y=70-23.33=46.67[/tex]

So, there are needed 46.67 liters of the 30% solution and 23.33 liters of the 60% solution in order to make 70 liters of a 40% solution.

Have a nice day!

Final answer:

To prepare 70 liters of a 40% alcohol solution, a scientist should mix equal amounts of the 30% and 60% alcohol solutions that are available. In this case, the scientist would need to mix 35 liters of the 30% solution with 35 liters of the 60% solution.

Explanation:

To solve the problem, we need to set up a system of equations based on the volumes and concentrations of the alcohol solutions. Let's define x as the volume in liters of the 30% alcohol solution and y as the volume in liters of the 60% alcohol solution.

First, we know that the total volume of the two solutions must add up to 70 liters:

x + y = 70

Second, we also know that the total amount of pure alcohol in the final 40% solution must be 40% of 70 liters. We can express the amount of pure alcohol in the 30% solution as 0.30x and in the 60% solution as 0.60y. The equation representing the alcohol concentration is:

0.30x + 0.60y = 0.40 × 70

Next, we solve these equations simultaneously to find the values of x and y.

Therefore, the scientist needs 35 liters of the 30% alcohol solution and 35 liters of the 60% alcohol solution to make a 40% solution.