1. Last month, John's dog ate 45 cans of dog food in
30 days. How many cans should John buy to feed his
dog for the next 6 days?

Please help me !!!

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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(A) A normal distribution centered at 1/3 with a standard deviation of about 0.0351.

Normal Distribution:

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. The normal distribution model is important in statistics and is the key to the central limit theorem (CLT). The theory states that means computed from independent, identically distributed random variables have an approximately normal distribution, regardless of the type of distribution from which the variable is sampled (provided it has finite variance). Mean (average value), median (center), and mode (most frequent observation) are all equal. Moreover, these values ​​all represent the peak or highest point of the distribution.

Standard Deviation:

The standard deviation (or σ) is a measure of the distribution of data from the mean. A low standard deviation means the data is clustered around the mean, and a high standard deviation means the data is more scattered. A standard deviation close to zero indicates that the data points are close to the mean, while a high or low standard deviation indicates that the data points are above or below the mean, respectively.  The top curve is more spread out and therefore has a higher standard deviation, while the bottom curve is more concentrated around the mean and therefore has a lower standard deviation.

Complete Question:

A successful waffle-man has recently developed a new recipe for waffles. To test the popularity of this new waffle compared to two other tried-and-true types of waffles, our friend the waffle-man randomly selected 180 lucky customers to vote on which of the three waffle types they liked best. Exactly 35% of these customers (or 63 in total) voted in favor of the new waffle. If all waffles were equally tasty, then the waffle-man knows to expect that each waffle would receive around 1/3 of the votes (so around 60 votes per waffle).

Are 63 votes for the new waffle enough to conclude that significantly more customers like it compared to the others? Luckily, our friend the waffle-man triple-majored in waffles, statistics, and clinical neurophysiology and knows how to objectively answer this question. He conducts a hypothesis test for proportions,

H0:p=1/3 H0:p=1/3, Ha :p>1/3 Ha: p>1/3

with a sample proportion of 63/180.

In carrying out this test, what null distribution for p^p^ should he use? In other words, what is the distribution of the sample statistic assuming the null hypothesis is true? (Be sure to use at least four decimal places in your calculations.)

Select one:

a)A normal distribution centered at 1/3 with a standard deviation of about 0.0351

b)A normal distribution centered at 1/3 with standard deviation of about 0.0356

c)A normal distribution centered at 0.35 with standard deviation of about 0.0356.

d)A normal distribution centered at 0.35 with standard deviation of about 0.0351.

e)We cannot use a null distribution in this problem because the population is not normally distributed.

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The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Cube A is a two dimentional object.

Thus, Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width.  Shapes that are two-dimensional, or 2-D, have only two faces and no thickness.

Two-dimensional objects include a triangle, circle, rectangle, and square.  The proportions of a figure can be used to categorize it.

A 2-D graph with two axes—x and y—marks the two dimensions. The x-axis is parallel to or at a 90° angle with the y-axis.

Solid objects or figures with three dimensions—length, breadth, and height—are referred to as three-dimensional shapes in geometry. Three-dimensional shapes contain thickness or depth, in contrast to two-dimensional shapes.

Thus, Cube A is a two dimentional object.

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The number of different routes he can take is 1287.

Given:

A jogger jogs every morning to his health club, which is eight blocks east and five blocks north of his home. He always takes a route that is as short as possible, but he likes to vary it .

Total blocks = 8+5 = 13

Number of different routes = \(13_C_5\)

= 13!/5!(13-5)!

= 13!/5!8!

= 13*12*11*10*9*8!/5!8!

= 13*12*11*10*9 / 5*4*3*2*1

= 13*11*9

= 1287

Therefore The number of different routes he can take is 1287.

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Answer:

2n-4>1n+3

Step-by-step explanation:

So basically 2 times a number go together because it means its multiplying and the greater sign is > and then 1 is multiplying with n so its 1n and then you just add 1

Answer:

7.171428571

Step-by-step explanation:

<3

3,14 × 25² × 100 = 196,250cm³

3,14 × 4/3 × 10³ = 4,186.666

= 196,250 - 4,186.666

= 192.063cm³ (B.)

Answer:

4653

Step-by-step explanation:

42.3 x (110) = 4653

The statement that best describes the end behavior of the graph is given as follows:

As \(x \rightarrow -\infty, f(x) \rightarrow -\infty\), and as \(x \rightarrow -\infty, f(x) \rightarrow \infty\).

It is given by it's limits as x goes to negative and positive infinity.

From the given table, it is found that f(x) starts with negative values, increases until it's maximum value then decays again, hence the correct statement is:

As \(x \rightarrow -\infty, f(x) \rightarrow -\infty\), and as \(x \rightarrow -\infty, f(x) \rightarrow \infty\).

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the answer is a irrational number

When we divide square-root of 64 by 5, the result is 8/5, so this is a rational-number.

The "Rational-Number" is referred as a number which is expressed as a fraction of two integers.

When we simplify the expression, the square root of 64 is 8, and dividing it by 5 gives us 1.6. Since 1.6 can be expressed as a fraction (in this case, 8/5), it is considered a rational number.

Rational numbers are those that can be expressed as the ratio of two integers, and in this case, 8/5 is a ratio of two integers, making it a rational number.

Therefore, the given expression is a "Rational-Number".

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If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

Angle 13 equal 90 and Angle 12 equal 45

Step-by-step explanation:

This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point

Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.

To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.

Using that

Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.

Answer:

D) 5h+45

Brainly asked me to put at least 20 words so I'm adding this here.

Answer: The expression equivalent to 5(h+9) is 5h+45, so the answer is option 4.

The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.

To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.

By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.

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Answer:

d > 50

Step-by-step explanation:

Given that:

The amount in Joe's savings account is greater than $50 ; > 50

The amount, d in dollar which could be in the amount, represented as an inequality is :

d > 50

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

it a

Step-by-step explanation:

Answer:

A (7)

Step-by-step explanation:

9w = 63

9 x 7 is 63,

9 x 6 = 54,

9 x 8 = 72,

9 x 9 = 81,

The probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called the alpha level.

Alpha level refers to a threshold value which is used to determine if a test statistic is statistically significant.  In a statistical test, it demonstrates an acceptable probability of a Type I error. As alpha corresponds to a probability, it lies in the range of 0 to 1. The alpha level denoted as alpha or α refers to the probability of rejecting the null hypothesis when it is true. For example, a alpha level of 0.05 demonstrate a 5% risk of concluding that a difference exists when there is no actual difference.

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Answer:

18.8 feet

Step-by-step explanation:

You have to use trigonometry for this question.

So, the basic measurements we have are:

1. The angle of elevation = 42 degrees

2. Base length of the triangle(ie. the shadow  on the floor) = 20 ft

Now, imagine a right angled triangle with the base length as the shadow height, the height of the triangle as the height of the tree and the hypotenuse as the sun ray that causes the shadow. Also, the angle opposite the height is the 42 degrees.

So, we know the Adjacent length and we want to know the opposite length ( in respects with the angle given)

So, the trig ratio that compares the two is ‘Tan’

Now, form the equation:

Tan (42) = Opposite/ Adjacent = O/ A = O/20

Rearrange to solve:

O/20 = Tan(42)

O = Tan(42) x 20

Key these into a calculator and you get the answer: 18.800808...

Round to a suitable degree of accuracy.

18.8 ( 3s.f)

According to the question the equation for time t is t = (s * 35000) / (h * w * f).

To solve the equation s = (h * w * f * t) / 35000 for t, we can rearrange the equation as follows:

s * 35000 = h * w * f * t

Divide both sides of the equation by (h * w * f) to isolate t:

t = (s * 35000) / (h * w * f)

Therefore, the equation for t is t = (s * 35000) / (h * w * f).

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In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

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The factorization of the expression 4x^2 + 4x + 1 is (2x + 1)(2x + 1), which corresponds to option (a).

To factorize the quadratic expression 4x^2 + 4x + 1, we need to determine two binomial factors that, when multiplied together, give the original expression.

One approach is to look for two binomials in the form (px + q)(rx + s), where p, q, r, and s are constants. In this case, we want the first and last terms of the expression to be the product of the outer and inner terms of the binomial factors.

By trial and error or using methods like factoring by grouping or the quadratic formula, we find that (2x + 1)(2x + 1) satisfies these conditions. When we multiply these binomials together, we obtain 4x^2 + 4x + 1, which matches the original expression.

Therefore, the factorization of 4x^2 + 4x + 1 is (2x + 1)(2x + 1), corresponding to option (a). The other options do not correctly represent the factorization of the given expression.

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S cannot be a basis for \(R^{n }\)

What is Matrix ?

A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and other fields to represent systems of linear equations, transformations, and other mathematical objects and operations.

The statement "For each b in  \(R^{m }\), the equation Ax - b has a solution" is equivalent to the following statements:

A. The columns of A span \(R^{m }\)

B. Each b in \(R^{m }\) is a linear combination of the columns of A.

E. The matrix A has a pivot position in each column.

To explain why S cannot be a basis for  \(R^{n }\) , we can use the fact that a set of vectors S = {v1, ..., vk} is a basis for  \(R^{n }\) if and only if the matrix whose columns are the vectors in S is invertible. In this case, since k < n, the matrix whose columns are the vectors in S cannot be invertible because it has more columns than rows.

Therefore, S cannot be a basis for \(R^{n }\).

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If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer: \(t=5\)

Add 8 to both sides

\(t-8+8=-3+8\\t=5\)

Answer:

The correct answer is t = 5.

Step-by-step explanation:

To solve this question, we must first recognize that our goal is to get the variable t by itself.  To do this, we should add 8 to both sides of the equation to get rid of the -8 on the left side of the equation.  This is modeled below:

t - 8 = - 3

t - 8 + 8 = -3 + 8

t = 5

Therefore, the correct answer is t = 5.

If we want to check our answer, we can plug in 5 for t in the original equation.  If we do this, we get: 5 - 8 = -3, which is a true statement, so we know that we did the problem correctly.

Hope this helps!

Answer:

2.9

18 \(m^{2}\)

Step-by-step explanation:

Answer:

80 per week

Step-by-step explanation:

1000-520= 480

480/6=80