A soda factory makes 9 flavors of soda. Each case of soda has 5 cans of each flavor. They produce enough soda to fill 7 cases per hour, 14 hours a day. How many cans of soda does the factory produce in 6 days?

The correct option that represents Causation is; D: as a total number of family member increases the amount of money that the family spends on food increases

Correlation is used to describe the kind of relation between two variables whereas causation is a relationship between the cause and effect.

This means that in Causation, the independent variable acts like a cause to effect the dependent variable.

Thus, the correct options as seen in the brainly linked attached is Option D: as a total number of family member increases the amount of money that the family spends on food increases

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Answer + Step-by-step explanation:

x² + 4x + 29 = 0

⇔ [x² + 4x] + 29 = 0

⇔ [x² + 4x + 4 - 4] + 29 = 0  (just add and subtract 4)

⇔ [x² + 4x + 4] - 4 + 29 = 0

⇔ (x + 2)² - 4 + 29 = 0   (Replace x² + 4x + 4 by (x + 2)²)

⇔ (x + 2)² + 25 = 0

⇔ (x + 2)² = -25  impossible because (x + 2)² > 0 and  -25 < 0

Then there is no solution to the quadratic.

Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]

Step-by-step explanation:

The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:

(x+3)(x-4/5)=y

however, this is not standard form. To get standard form we will need to expand the equation using FOIL.

x^2+3x-4x/5-12/5=

x^2+11x/5-12/5

and that would be your answer.

This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.

Answer:

Step-by-step explanation:

Calculate the volume of the figure below

2*2*6 + (6-2)*2*2 =

24+4*2*2=

24+16=

40cm³

Answer:

Its 43.2

I hope this helps ^^

Answer:

43.2

Step-by-step explanation:

kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters

To go right once multiply be ten

To go left once divide by ten

4.32 • 10 = 43.2

[tex]2 - ( - 9) - 8 \\ 2 + 9 - 8 \\ 11 - 8 \\ 3[/tex]

In the first step multiply the negative after two and the negative with 9 (negative times negative equals to positive )the according to BEDMAS from left to right do addition and subtraction

Hope it helps

Please give brainliest

Answer:

174.96cm2

Step-by-step explanation:

V=lbh

=3.6×5.4×9

=174.96cm2

I don't knowif you want it in milliliters or litres so here are both of them

milliliters = 174.96

litres = 0.17496

The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

127.9-127.4=0.5

0.26-0.23=0.03

0.5/0.03=16.6666

We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.

Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

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Answer: D

Step-by-step explanation:

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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By solving a linear equation, we will see that the total cost for renting the bus is $90.

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

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Answer: if you multiply decimals , the estimate value is necessary !

it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !

as;

2.234 = 2.23 , it will remain same but,

2.235 = 2.24 the 3 raised to 5 !!

Step-by-step explanation:

Answer:

y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]

Answer:

1) 0.25%

Step-by-step explanation:

Ratio= weight in g/ volume in ml

1. percent strength = 12.5× 10-³g /5ml × 100%

=0.25%

Answer:

0.25%

Step-by-step explanation: Convert mg to g (1g = 1000mg)

12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%

Answer:

p = 3 dollars    d = 4 dollars

Step-by-step explanation:

2 p + 1 d  = 10     given

4 p + 1 d  = 16     given       Subtract second equation from first to get:

-2p = - 6

p = 3 dollars        then use this value in either of the equations to find  'd'

2(3)   + d = 10

d = 4

Answer:

A. Three

explanation :

In Spherical Geometry, a triangle can have three right angles!

Answer:

[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]

Step-by-step explanation:

[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]

The answer would be A. 1 1/5.

We have given that,

The following box-and-whisker plots represent two random samples of basketball players. The first sample represents the heights of male players in the NBA.

A simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. Is a process of selecting a sample in a random way.

The second sample represents the heights of female players in the WNBA

Using the data from these random samples, compare the heights of male and female basketball players.

Write your answer in sentences complete

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Therefore, The answer would be A. 1 1/5.

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Answer:

The median height for the players in the NBA is 6 inches taller than the median of the WNBA. The overlap in the data shows that the tallest players in the WNBA are around the same height as the shortest players in the NBA.

Answer:

=4m^2−11m+6

Step-by-step explanation:

Given algebraic expression:

(m-2)(m•2+2m-3)

To:

Simplify

Solution:

(m−2)(m(2)+2m−3)

=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)

=2m^2+2m^2−3m−4m−4m+6

=4m^2−11m+6

Answer:

C. All real numbers

Answer:

Step-by-step explanation:

b = 8/2 *4

b = 16

Answer:

M3 = 105°

angles on a straight line add up to 180°

M3 = 180 - 75

= 105°

Answer:

40

Step-by-step explanation:

Lets put the 3/4 at the beginning and expand this bracket :

3/4(x-4) = 27

3/4x - 3 = 27

Now we add 3 to both sides :

3/4x = 30

Now we times both sides by 4 :

3x = 120

Now we divide both sides by 3:

x = 40

Hope this helped and brainliest please

The graph of the dilated absolute value function can be seen below.

We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.

Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.

The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.

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The common ratio of the geometric sequence is -1/2

The geometric sequence is given as: -96, 48, -24, 12, -6, ...

The common ratio is calculated using:

r = T2/T1

From the sequence, we have:

T2 = 48

T1 = -96

This means that

r = 48/-96

Evaluate the quotient

r = -1/2

Hence, the common ratio of the geometric sequence is -1/2

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The correct answer is option D. Which is the even function is f (x) = x⁴.

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

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Answer:

the answer is going to be 13

Answer:

13

Step-by-step explanation:

Follow PEMDAS

13-3-2-1+6

13-3=10

10-2-1+6=

10-2=8

8-1+6

8-1=7

7 + 6=13