Stephanie was doing a science experiment to see what brand of cereal with raisins
actually had more raisins. She scooped out one cup of cereal and counted 27 raisins. If
there were 12 cups of cereal in the box, predict about how many raisins should there
be in the box?

Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64                  

And, x% = 18.39                

Now, we get pair of simple equations

100% = 329.64                  ........(1)

x% = 18.39                         ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

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The numbers 28 and 32 fulfill the composite proposition.

In logics, propositions are structures that contains itself a true value, it may be but not exclusively equations and sentences. Composite propositions are the result of combining at least two propostions with operators. In this case, we have the following propostion: A number is greater than 25 and less than 35.

This kind of proposition is true if and only if each simple proposition is true. Therefore, the numbers 28 and 32 fulfill the composite proposition.

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The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

Since the probability of being worried is independent ;

The probability that all 3 surveyed are worried :

Therefore, the probability that all three people surveyed are worried is : 0.1225

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

4292

Step-by-step explanation:

there happy that was easy to be honest

Answer:

\(-0.25\)

The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.

\(\frac{25}{100}\)

-BBBM

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Answer:

Area of \(\triangle\)ACD = 4 \(ft^2\)

Area of \(\triangle\)ABC = 16 \(ft^2\)

Step-by-step explanation:

Given that:

D is a point on AB.

and ABC is a triangle.

AD:DB = 1 : 3

Area of \(\triangle\)CDB = 12 \(ft^2\)

Kindly refer to the attached image as per the given dimensions and values.

To find:

Area of \(\triangle\)ACD and Area of \(\triangle\)ABC = ?

Solution:

Formula for area of a triangle = \(\frac{1}{2}\times Base \times Height\)

The altitudes of triangles \(\triangle\)CDB and \(\triangle\)ACD are equal in dimensions.

Therefore the area of triangles \(\triangle\)CDB and \(\triangle\)ACD will be equal to the ratio of their bases.

Area of \(\triangle\)ACD : Area of \(\triangle\)CDB = AD: DB = 1 : 3

\(\Rightarrow\) Area of \(\triangle\)ACD = \(\frac{12}{3} = \bold{4 ft^2}\)

Area of \(\triangle\)ABC = Area of \(\triangle\)ACD + Area of \(\triangle\)CDB = 12 + 4 = 16 \(ft^2\)

Therefore, the answer is:

Area of \(\triangle\)ACD = 4 \(ft^2\)

Area of \(\triangle\)ABC = 16 \(ft^2\)

Answer:

y=(x+3)2−2(x+3)2−2

As verification here is

y=(x+3)2−2

The equation of parabola with vertex (1,-2) and passing through the point P(-1,14) is given by y = 4(x - 1)² - 2

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be A

Now , the vertex is at V ( 1 , -2 )

And , the equation passes through the point P ( -1 , 14 )

Now , standard form of a parabola is:

y = a(x - h)² + k

where (h, k) is the vertex and "a" is a constant that determines the shape of the parabola

y = a(x - 1)² - 2

Now, we need to find the value of "a". We are also given one point on the parabola, which is (-1, 14).

14 = a(-1 - 1)² - 2

14 = a(2)² - 2

14 = 4a - 2

16 = 4a

a = 4

Now we can substitute "a" into the equation:

y = 4(x - 1)² - 2

Hence, the equation of the parabola with vertex (1, -2) and passing through the point (-1, 14) is y = 4(x - 1)² - 2

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Answer(s):

\(\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1 \\ y = -3sin\:(\frac{1}{4}x \pm \pi) - 1 \\ y = 3sin\:\frac{1}{4}x - 1\)

Step-by-step explanation:

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{4}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 3cos\:\frac{1}{4}x - 1,\) in which you need to replase “sine” with “cosine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted \(\displaystyle 2\pi\:units\)to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD \(\displaystyle 2\pi\:units,\)which means the C-term will be positive, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{2\pi} = \frac{\frac{\pi}{2}}{\frac{1}{4}}.\)So, the cosine graph of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-10\pi, -4],\)from there to \(\displaystyle [-2\pi, -4],\)they are obviously \(\displaystyle 8\pi\:units\)apart, telling you that the period of the graph is \(\displaystyle 8\pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = -1,\)in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

I think its C

Step-by-step explanation:

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

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Thanks!

Answer:

Step-by-step explanation:

2.5 kg = 10 leaning tower

here students can make 10 leaning towers.

find;

How many kilograms of spaghetti does it take to make 1 leaning tower?

solution:

        2.5 kg      

10 leaning towers

= 0.25 kg per leaning tower

therefore,

Mrs. Robinsons can take 0.25 kg of spaghetti to make 1 leaning tower.

Answer:

Prawn hub

Step-by-step explanation:

Prawn hub

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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Answer: y = 6, x = 5

Step-by-step explanation:

3x + 7y = 57 −6x + 2y = −18

2*(3x + 7y = 57)−6x + 2y = −186x+14y=114−6x+2y=−1816y=96y = 6

3x + 7(6) = 57 ; 3 x = 57 – 42 ; 3x = 15 ; x = 5

CHECK:−6(5) + 2(6) = −18 ; -30 + 12 = - 18 ; -18 -= -18

CORRECT! Solution Set: y = 6, x = 5

The solution of the given system of equations is y = 3, x = 10

We have given a system of linear equation

3x-7y=9.....(1)

3x-9y=3...(2)

1. The substitution method

2. The elimnation method

3. Graphing method

We use the elimination method

subtract equation 1 from  2

   3x - 7y = 9

-

    3x - 9y = 3

    0x+2y=6

2y=6...(3)

y=6/2=3

Use this value of y in equation 1 so we get,

3x-7y=9

plug value of y

3x-7(3)=9

3x-21=9

add like terms

3x=9+21

3x=30

divide bot side by 3

x=10

So the solution set is y=3 and x=10

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There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.

This is table that contains random numbers and it is used to select random samples.

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The largest proper fraction that can be formed is 16/17

What is a fraction?

A fraction (from the Latin fractus, "broken") is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction has a numerator above a line (or before a slash like 12) and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

The largest proper fraction that can be formed is

= 1+3+12/11+6 = 16/17

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Answer:

249798.8

Hope this helps! <3