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Here is a pattern made from sticks:
1
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?

Answer(s):

What is the dependent variable of an equation?

The dependent variable of an equation is the variable that is completely isolated on one side.

What is the independent variable of an equation?

The independent variable is the variable that is not isolated. The independent variable can either have a cooeficient or has some operation (+ - × ÷) included on that side of the equation.

Determining the independent and dependent variable

In this equation, we can see that "v" is completely isolated on one side and "t" has a cooeficient of 68. Thus, the dependent variable is "v" and the independent variable is "t".

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]

[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

the simplest form.

[tex] \frac{53}{8} + \frac{19}{4} [/tex]

[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]

[tex] = \frac{212 + 152}{32} [/tex]

[tex] = \frac{364}{32} [/tex]

[tex] = 11 \frac{3}{8} [/tex]

Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

Hope this helps!

Answer:

i will give it to you

Step-by-step explanation:

that's it for you dear

The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

First, let's calculate the total number of dog biscuits that Jim has bought:

= 6 bags × 27 biscuits per bag

= 162 biscuits

Next, let's calculate how many biscuits the dog will eat in 4 weeks:

= 4 weeks × 5 biscuits per day

= 20 biscuits per week

20 biscuits per week × 4 weeks = 80 biscuits

So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.

162 biscuits ≥ 80 biscuits

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The answer will be option A Yes, the test value is in the rejection region.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

here the formula will be

[tex]Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}[/tex]

[tex]Z=-20[/tex]

Z critical value =-1.645

Z calculated> Z critical value so we will reject.

Hence the answer will be option A Yes, the test value is in the rejection region.

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Answer:

Answer is D. [tex]\frac{121}{49}a^8b^2[/tex]

Step-by-step explanation:

We expand the powers.

[tex]\frac{11}{7}^2*(a^4)^2*(b)^2\\\frac{11}{7}*\frac{11}{7}*(a^4)(a^4)*(b*b)\\\frac{121}{49}*(a^8)*(b^2)[/tex]

when doing variable power you add them together.

a^4*a^4=a^(4+4) , b^1*b^1=b^(1+1)

Answer:

cinder cone: estimated probability = 0.35

shield: estimated probability = 0.49

stratovolcano: estimated probability = 0.16

Step-by-step explanation:

Given that he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

So the total number of volcanoes are 13 + 18 + 6 = 37

So the estimated probability of Cinder cone is \frac{13}{37}\approx 0.35

37

13

​

≈0.35

The estimated probability of Shield is \frac{18}{37}\approx 0.49

37

18

​

≈0.49

The estimated probability of Stratovolcano is \frac{6}{37}\approx 0.16

37

6

​

≈0.16

Below is the completed table

Answer: 160

Step-by-step explanation: The formula for a rectangular prism is (Base)(Width)(Height). The length is 10 and the height and width are both 4 because it is a square.

first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.

[tex]\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3[/tex]

Answer:

12 c.m. and 12 c.m.

Step-by-step explanation:

model/actual = scale factor (same thing for dilation)

21/14 = 3/2

3/2*8 =4*3 =12

Answer:

12.3 feet

Step-by-step explanation:

all you have to understand is that a radius is half the diameter....

24.6/2=12.3

Answer:

Brand A is the better deal!

Step-by-step explanation:

Let's start by comparing.

We know brand B has the following cost: 5 ounces = $3.75

10 ounces $7.50 and 16 ounces = $12

Now check the graph.

6 ounces cost $3

12 ounces cost $6

20 ounces cost $10

I don't think we need to look any further but brand A is the better deal!

Answer: The Answer for part 1 is 73 The answer for part 2 is 51

I hoped this helped also (im only 14 so if u see this ur doing great)

Step-by-step explanation:

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

Answer:

1.7 in.

Step-by-step explanation:

E2020 Geometry B!! :3

Answer:

The median of the data is 6

The Lower Quartile is 2

The upper quartille is 3

The mimimum value is 15

The maximum value is 9

Step-by-step explanation:

y = –3x –3

y = –2x –3

y = 2x –3

y = 3x –3

Answer:

the correct answer is C.) y = 2x -3

Step-by-step explanation:

edge 2022

Answer:

Your answer is Vertical.

Step-by-step explanation:

Answer:

Slope-Intercept Form: [tex]y = 2*x -3[/tex]

or

Point-intercept form: [tex]y-(-3)=2(x-0)[/tex]

Step-by-step explanation:

Slope-Intercept Form: [tex]y=mx+b[/tex]

Start from the Y-axis where [tex]b=-3[/tex] then rise/run to the next point. making that our slope.

Point-intercept form: [tex]y-y_0=m(x-x_0)[/tex]

Solve the slope using the two points.

[tex](0,-3)[/tex] and [tex](2,1)[/tex] plug those values into the formula. Make [tex](x,y)=(0,-3)[/tex] and [tex](x_0,y_0)=(2,1)[/tex]

[tex]-3-1=m(0-2)[/tex]

[tex]-4=m(-2)[/tex]

[tex]m=-2[/tex]

[tex]y-(-3)=-2(x-0)[/tex]

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

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Answer:

area of the rectangle will be 175 square feet

Answer:

Step-by-step explanation:

Adding and subtracting expressions:

a) M + (5x² -2xy) = 6x² +9xy - y²

                      M = 6x² + 9xy - y² - (5x² - 2xy)

Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis

                           = 6x² + 9xy - y² - 5x² + 2xy

Combine ( add or subtract) like terms.

                           = 6x² - 5x² + 9xy + 2xy - y²

                           = x² + 11xy - y²

Hint: Like terms have same variable with same power.

Here, like terms are (i) 6x² and (-5x²)  (ii) 9xy and 2xy

b)               (3xy - 4y²) - N = x² - 7xy + 8y²

                   3xy - 4y²       = (x² - 7xy + 8y²) + N

3xy - 4y² - (x² - 7xy + 8y²) = N

3xy - 4y² - x² + 7xy - 8y² = N

3xy + 7xy -4y² - 8y² -x²   = N

          10xy -12y²  - x²     = N

Answer: N =  10xy - 12y² -x²

This experiment is neither the subject nor the researcher because knows which treatment group each subject is in.

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

A group of doctors are conducting an experiment to test a new nutritional supplement they randomly selected 600 subjects, assigning 300 subjects to receive the supplement and 300 subjects to receive a placebo.

The doctors are unaware of which subjects are assigned to each treatment group. this experiment is neither the subject nor the researcher because know which treatment group each subject is in.

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Answer:

The area of the rectangle is 24.

Step-by-step explanation:

To find the area it is Legth x Width

Therefore, 4 * 6 is 24

Answer:

y = x^2 + 3x - 18

Step-by-step explanation:

A parabola with zeroes at  x = - 6  and 3  would look like this:

(x+6)(x-3) = x^2 + 3x -18

Answer:

the weight of 24 bricks is :

[tex]124\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]26\frac{1}{4} =26+\frac{1}{4} =\frac{26\times 4}{4} +\frac{1}{4} =\frac{105}{4}[/tex]

It is clear that there is a proportional relationship between the number of bricks and their weights then :

[tex]\frac{26\frac{1}{4} }{5} =\frac{x}{24} \Longrightarrow \frac{\left( \frac{105}{4} \right) }{5} =\frac{x}{24} \Longrightarrow \frac{26}{5} =\frac{x}{24}[/tex]

[tex]\Longrightarrow x=\frac{26\times 24}{5} =\frac{624}{5} =124\frac{4}{5}[/tex]

Answer: 26 + 13 + 26 + 13 + x =180

Step-by-step explanation:

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

The population mean of the sampling by the researcher is 240, the standard deviation is 40 and the z score is -2.

It should be noted that the mean is the average of the numbers that are given in a population. The z score is -2 as it measures the relationship between the means.

The probability that the drug will wear off between 200 and 220 minutes will be:

= P(Z < -1.58) - P(Z < -3.16)

= 0.0571 - 0.0008

= 0.0563.

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