Find the first three terms of the sequence described by the following recursive formula:
an = 3an – 1 + 2 where a4 = 20

a1=
a2=
a3=

The number of yards will she need for 3 sets of pillows and quilts is 40.5.

Given that,

Based on the above information, the calculation is as follows:

Set= 2 pillows + quilt

= (2×0.75)+12

= 13.5

Now  

3 sets = 3×13.5

=40. 5

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B) (4,24)

This is because you turn one of the equations you make, let's use x+4y=100, and turn it into y=mx+b form. This turns into y=(-x/4) +25 and if you plug in the number 4 as your x you get 24.

Answer:

[tex]\frac{3}{34}[/tex]

Step-by-step explanation:

In Statistics, the AND function, is simplified, by multiplying the probability of the two events with one another:

[tex]P(AandB)=P(A)*P(B)[/tex]

The first function is the probability of picking a glass of fruit juice from the total number of glasses. There is a total of 17 glasses, and 6 of them are fruit juice:

[tex]P(A)=\frac{6}{17}[/tex]

After taking a fruit juice, there are only 16 glasses left, of which 4 are milkshakes:

[tex]P(B)=\frac{4}{16} =\frac{1}{4}[/tex]

Therefore:

[tex]P(AandB)=\frac{6}{17}*\frac{1}{4} =\frac{6}{68}=\frac{3}{34}[/tex]

Answer:

B. dependent 3/34

Step-by-step explanation:

got it right on edge

I would say 67°F would be the right answer.

Solution: The venn diagram will be completed as shown in the given figure.

Explanation:

There are many types numbers. The set of numbers are defined below.

Complex Numbers: The complex are the addition of real and imaginative numbers. it is represented as a+bi, where a is a real number and b is an imaginary number.

Imaginary Numbers: The imaginary numbers are those numbers which are not real numbers. For example [tex]\sqrt{-2}[/tex].

Real Numbers: All numbers in the number system( fractional, roots, positive, negative, decimal, etc) are real numbers. For example 2.1 and 5 etc. Real numbers are categorized in two parts rational and irrational numbers.

1) Irrational numbers: The number which can't expressed in the form of  are called irrational numbers. For example [tex]\sqrt{2}[/tex] and [tex]\sqrt{7}[/tex] etc.

2)  Rational numbers: The number which can be expressed in the form of  are called irrational numbers. For example 5 and -5.2 etc. It is categorized in two parts fractional and integer numbers.

3)Integer numbers: The rational number which has no decimal value is called integer numbers. For example-8,-2, 0, 5,7 and 100 etc.

4) Whole Numbers: The set of all positive integers including 0 is called known as the set of whole numbers.

5) Natural Numbers: All Whole numbers except 0 are known as natural number.

[tex]\dfrac{3}{10}\div \dfrac{2}{8}=\dfrac{3}{10}\div \dfrac{1}{4}=\dfrac{3}{10}\cdot4=\dfrac{3}{5}\cdot2=\dfrac{6}{5}[/tex]

Answer:

16 dollars.

Step-by-step explanation:

Given that selling price of a back pack after reduced by 30% is 11.20 dollars.

We have to find the original price of the back pack.

Let original price = 100

Reduced %          =  30

Selling price         = 70

70 dollars is equivalent to selling price of 11.20 $

100 dollars is equivalent to selling price of 100(11.2)/70 = 16 $

i.e. original price of back pack is 16 dollars.

Answer:

Yes this is the correct answer.

Step-by-step explanation:

The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line. The least-squares line is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met.

The question is asking about the line of best fit. The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line.

To determine if a line is the best way to fit the data, we can use various methods such as calculating the correlation coefficient or examining the scatter plot. For outliers, we can identify them if they are significantly different from the other data points and affect the overall trend of the data. The least-squares line, which is the line of best fit, is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met. The slope of the least-squares line represents the rate of change in the dependent variable (y) for a one-unit increase in the independent variable (x).

Use the power rule (which says to multiply the exponents)

1) n⁴ˣ⁸ = n³²

2) x³ˣ⁻⁵ = x⁻¹⁵ = [tex]\frac{1}{x^{15} }[/tex]

3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵

if it takes 60 km to get to the beach and it's the same distance back:

60 x 2 = 120 km

No need to look at the times.

Answer:

√357

Step-by-step explanation:

multiply all three numbers together and since 357 cannot be simplified it stays as a radical

The radical form of √3 x √7 x √17 is √357.

When we have a number raised to a power that is less than one but greater than zero we call them surds and when we have numbers that have been raised by powers that are greater than one we call them indices.

Radical multiplications are the same as multiplying integers only we can not add radicals of different values under the square root.

∴ √3 × √7 × √17.

= √51 × √7.

= √357.

We can't simplify this more because the multiplication was of all prime numbers.

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Answer:

The question is actually,

Step-by-step explanation:

Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. What fraction of her savings does she have remaining?

An overdraft fee is a fee for withdrawing more money from an account than is actually there.

Answer:

Hence, an overdraft is a fee for--

C. Withdrawing more money from an account than is actually there

Step-by-step explanation:

An overdraft occurs when money is withdrawn form the account such that the amount exceeds the actual bank balance i.e. the withdrawn amount leads to the bank amount or the available balance below zero.

The account in such situation is said to be " Overdrawn "

Hence, option: C is the correct answer.

Answer: C

Step-by-step explanation:

A) f(x) = √x

B) f(x) = x³

C) f(x) = 2ˣ             x is the exponent so it is an EXPONENTial function

D)  f(x) = [tex]\frac{1}{x}[/tex]

Answer:

Graph 3 is exponential function.

Step-by-step explanation:

We are given four different graph. We need to choose exponential graph.

Graph 1: It is square root graph because the value of x and y not negative in this graph. Graph is slight curve.

[tex]f(x)=\sqrt{x}[/tex]

False

Graph 2: It is is cubic graph because it start from bottom of the coordinate plane and end at top of the coordinate plane.

[tex]f(x)=x^3[/tex]

False

Graph 3: It is exponential graph because range is all positive real number and domain is all real number.

[tex]f(x)=3^x[/tex]

True

Graph 4: It is rational function graph because here we have vertical asymptote (x=-2)

[tex]f(x)=\dfrac{1}{x+2}[/tex]

False

Answer:

Temperature at 4 am is 66 degrees.

Step-by-step explanation:

First we have to count how many half an hour's are there from 6 pm to 4 am.

Number of hours from 6 pm to 4 am.  =  [tex]10[/tex] hours

Number of half an hours from 6 pm to 4 am.  = [tex]10*2[/tex]

                                                                           =[tex]20[/tex]

It is given that temperature drops [tex]1\frac{1}{4}[/tex] degrees every half an hour.

Therefore,

Temperature drop in 20 half an hours = [tex]1\frac{1}{4}*20[/tex] degrees

                                                                =[tex]\frac{5}{4} *20[/tex] degrees

                                                                =[tex]25[/tex] degrees

Temperature drops 20 degrees from initial 86 degrees.

Therefore, temperature at 4 am = 86 degrees - 20 degrees

                                                      = 66 degrees

No, it is not a translation. The arrow starts pointing to the right and then points upward. A translation would have the arrow always pointing right the entire time, only that its position would move.

====================================================

Problem 2

We can shift the K up 6 units to get what you see in the attached image below

I am attaching an image with the two solutions represented by the blue areas highlighted in your original graphs. Let me know if you have questions.

Remember that [tex] 40 = 2\cdot 2\cdot 10 [/tex].

So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

So, we can go like this: let's divide by 10 first

[tex] 13 \div 10 = 1.3 [/tex]

Then, we divide by 2:

[tex] 1.3 \div 2 = 0.65 [/tex]

And by 2 again:

[tex] 0.65 \div 2 = 0.325 [/tex]

So, the decimal expansion ends after 3 digits.

Answer:

adding 6

Step-by-step explanation:

-9

-3

3

9

15

The Algebra expression a/b + c²d with the given values (a=6, b=3, c=4, d=5) evaluates to 82. This involves steps of squaring, multiplication, division, and finally addition.

In order to evaluate the expression a/b + c²d, we substitute the given values into the expression. For this problem, the values given are a=6, b=3, c=4, and d=5. Thus, the expression becomes: 6/3 + (4)²(5).

First, we perform the operations in the parenthesis, which is 4 squared, or 4*4, which gives us 16.

Next, we multiply this result by d, which is 5. Therefore, 16*5 gives us 80.

Finally, we perform the division operation: a/b, that is 6 divided by 3, which equals 2.

Adding these two results together, 2 + 80, we get our final answer, which is 82.

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The two quantities we want to analyze are

[tex] 3254 \times 105 + 12 [/tex]

and

[tex] 1256 \times 105 [/tex]

We wonder if the first if 12 times the second. Let's compute them both to begin with:

[tex] 3254 \times 105 + 12 = 341682 [/tex]

and

[tex] 1256 \times 105 = 131880 [/tex]

So, the question is: is 341682 twelve times 131880? The check is very simple:

[tex] 131880 \times 12 = 1582560>341682 [/tex]

So the answer is no

Answer:

Option A is the correct answer.

Explanation:

 The given pyramid has 3 lateral triangular side as shown below.

 Base of triangle = 12 unit

 We need to find perpendicular.

  By Pythagoras theorem we have

            Perpendicular² = 10²-6²

           Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

                                             = 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²    

Option A is the correct answer.                

Answer:

A

Step-by-step explanation:

Cost of 2 pounds of almonds = $ 21.98

So, cost of 1 pound will be = [tex]\frac{21.98}{2} = 10.99[/tex]

Cost of 3 pounds of dried apricots = $26.25

So, cost of 1 pound will be = [tex]\frac{26.25}{3} = 8.75[/tex]

So, comparing the two costs, the cost of 1 pound of dried apricot is less than 1 pound of almonds by $2.24

Answer:

C

Step-by-step explanation:

Answer:

C yessir also here for the points

Step-by-step explanation:

Answer:

wheres the problem

Step-by-step explanation: