72:12 ratios simplified

The statement that best describes the functions represented in the graphs is B. Only function p is continuous and linear.

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

A function at a place can only be continuous if it is defined there, has a limit there, and its value at that point is equal to the value of the limit there.

The graph of function p is linear and continuous

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\(\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2\)

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

sometimes...

Step-by-step explanation:

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A parallelogram is sometimes a rectangle.

A) sometimes

because the vertices join the adjacent sides at 90° angles and it has two sets of parallel sides and two pairs of opposite sides that are congruent. (a rectangle has all of the properties of a parallelogram.)

Answer:

10.3

Step-by-step explanation:

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The critical value is 2.069 and the margin of error is 1.294.

Given data:

To find the margin of error (ME) for a 95% confidence interval estimate for the population mean using the Student's t-distribution, determine the critical value (t*) and the standard error (SE).

The critical value (t*) can be obtained from the t-distribution table.

For a 95% confidence level with 23 degrees of freedom (n-1), the critical value is approximately 2.069.

The standard error (SE) is calculated using the formula:

SE = sample standard deviation / √(sample size)

\(SE = \frac{3}{\sqrt{23}}\)

Now, calculate the margin of error (ME):

ME = t* * SE

\(ME = 2.069 *\frac{3}{\sqrt{23}}\)

On simplifying the equation:

\(ME=1.294\)

Hence, the margin of error is 1.294.

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Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

\(f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}\)

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

\(\lim_{x \to 0_-} f(x) = - \infty \\\)

and:

\(\lim_{x \to 0_+} f(x) = + \infty \\\)

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

\(\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\\)

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

\(\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\\)

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

\(\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5\)

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

The expression form of the given statement is 7(x+1).

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given a statement, six times a number added to the sum of the number and seven

Let the number be x, then,

6x+(x+7) = 7x+7 = 7(x+1)

Hence, The expression form of the given statement is 7(x+1).

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Answer:250

Step-by-step explanation:Answer:

100/r=500/r+200=50

50+200 =250

Answer:

Step-by-step explanation:

The equation is poorly written and I cannot unfortunately solve it.

Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

4x² + 4y² + 8xy

Step-by-step explanation:

( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = 2y

( 2x + 2y )²

= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )

= 2²x² + 2²y² + 8xy

= 4x² + 4y² + 8xy

Answer:

for f(x)=tan(2x+1)

Amplitude: None

Period: pi/2

phase Shift: -1/2(1/2 to the left)

We need to know about writing equations given conditions to solve this problem. The equation for C1 is C1=0.27t and for C2 is C2=34.95+0.12t , the number of talk minutes that would produce the same cost for both plans is 233.

For writing equations for a variable given certain conditions we need to first assume the unknown variable to be x or something. Here in this question we know that the phone plans charge a particular cost for every minute, we have to assume the number of talk minutes to be t, so the total cost for the talk minutes can be calculated by multiplying the number of minutes to the cost per minute, if there is any additional constant charge then we add the cost to the equation which will give us the final cost equation.

For C1, it charges 27 cents for a minute, so the equation for C1 is

C1=0.27t [1 cent =$0.01]

For C2, it charges $34.95 monthly fee which is constant and 12 cents per minute.

C2=34.95+0.12t

To find the number of talk minutes that produce same cost we have to equate the two equations

0.27t=34.95+0.12t

0.15t=34.95

t=233

Therefore the equation for C1 is C1=0.27t and for C2=34.95+0.12t and the number of talk minutes that produce the same cost is 233.

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Answer:

₱ 248,452.51

Step-by-step explanation:

₱ 248,452.51

Given that there is a pair of six-sided dice, let be the probability to obtain a 5 in the first dice:

And let be the probability to obtain a 5 in the second dice:

Then, the probability to obtain a 5 in one of the two dices will be equal to:

Therefore:

The dice has 6 sides, hence the probability that a 5 appears for each dice is:

Therefore:

Adding the fractions, you get:

Hence, the answer is:

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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The relationship c(x) = 4.5+ 0.32x it is a linear relationship.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5

Given data

c(x) = 4.5+ 0.32x

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

#3.) A

#4.) C

Step-by-step explanation:

Answer:

3) D) 30°

4) A) 5°

Step-by-step explanation:

3) (24+36+55+65)÷4=45

(72+78)÷2=75

75-45=30

4) 30÷6=5

Answer:

m=6.5

Step-by-step explanation:

thats what you type in just found it

Answer:

6.5

Step-by-step explanation:

Answer:

0.333333 or 1/3

Step-by-step explanation:

I hope it is 1 to 6.

2 or 3 is the 2 numbers representing success

P(2 or 3) = 2/6 = 1/3

I don't understand the choices. Can you upload a picture of the question?

Answer:

25 bowls

3/5x=15

1/5x=5

5*5=25

Answer:

25 bowls

Step-by-step explanation:

15 ÷ 3 = 5

5 = 1/5

1/5 pot = 5 bowls of soup

5/5 pot = 25 bowls of soup