You visit 3 different stores that sell Takis. Store X has 3 bags of Takis for $3.04. Store Y has 5 bags of Takis for $3.60. Store Z has 78 cents per bag of Takis. What store has better buy?

Answer:b

Step-by-step explanation:

The requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The equation of the function shown in the graph is given as,
y = [-x + 2,  x<1]

y = {x + 1, x ≥ 1}

Thus, the requried function represented in the graph is given as y = [-x + 2,  x<1] and y = {x + 1, x ≥ 1} Option A is correct.

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The volume of the resulting solid, after drilling a round hole of radius 5 through the center of a ball with a radius of 10, is 5243.7 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the drilled hole from the volume of the original ball. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.

The volume of the original ball can be calculated as:

V_original = (4/3)π(10^3) = 4188.8 cubic units.

The volume of the drilled hole can be calculated as:

V_hole = (4/3)π(5^3) = 523.6 cubic units.

Subtracting the volume of the hole from the volume of the original ball, we get:

V_resulting_solid = V_original - V_hole

                 = 4188.8 - 523.6

                 = 4665.2 cubic units.

Rounding to one decimal place, the volume of the resulting solid is approximately 5243.7 cubic units.

By subtracting the volume of the drilled hole from the volume of the original ball, we obtained the volume of the resulting solid. The calculations were based on the formulas for the volume of a sphere and the subtraction of volumes.

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Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

First, we need to subtract the last payment from the last month's balance.

Then, apply the interest:

5x-3x-2=13

2x-2=13

2x=15

x=7.5

Answer:

If what??? can you please finish the question in the reply?

Answer:

y = \(\frac{2}{3}\) x + 5

Step-by-step explanation:

y = mx + b the m is the slope and the b is the y-intercept.  They gave us the slope.  It is 2/3  We are going to use the slope and the point on the line for find the y-intercept (b).

The point is in the form (x,y)  We are going to use that in our equation.  We will replace x with -3 and y with 3.

y =mx + b

3 = \(\frac{2}{3}\) (-3) + b   Multiple by -3

3 = -2 + b  Add 2 to both sides

5 = b

y = mx + b

y = \(\frac{2}{3}\) x + 5

Answer:

1

Step-by-step explanation:

Because it is where the like crosses with the y axis

In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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The false statement involving p, and the arbitrary events A and B are e) P(Ac ∩ B) = P(B) - P(A ∩ B).

When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two occurrences occurring simultaneously is 0 if they are regarded as separate events. based on an impulse, notion, or chance rather than on logic: Despite being a random pick, her clothing was ideal. 1. Dependent solely upon one's discretion; open to individual will or judgment without limitations. a choice made at random. 2. made by a court or arbitrator as opposed to a law or statute.

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Answer

The answer is -43.

Explanation

The question wants us to evaluate the expression using the given variables

-k² - (2k - 5n) + 3n

if k = -3, n = -5

So, to solve this, we would just substitute the given values for k and n

-k² - (2k - 5n) + 3n

= -(-3)² - [(2 × -3) - (5 × -5)] + (3 × -5)

= -(9) - [-6 - (-25)] - 15

= -9 - (-6 + 25) - 15

= -9 - (19) - 15

= -9 - 19 - 15

= -43

Hope this Helps!!!

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation:

There is no success probability for which the first success is most likely to occur on the fourth attempt.

Assuming the success probability of an experiment is p and the number of trials until the first success occurs is denoted by X, X follows a geometric distribution with the probability mass function P(X=k) = (1-p)^(k-1) * p, where k is the number of trials until the first success occurs.

Given that the first success occurs on the 4th attempt, P(X=4) is maximum when p is maximum. To find the value of p, we need to maximize the function P(X=4), which can be represented by (1 - p)^(3) * p.

Differentiating this function with respect to p, we get d[P(X=4)]/dp = -3(1 - p)^(2) * p + (1 - p)^(3).

Equating the above equation to zero, we get -3(1 - p)^(2) * p + (1 - p)^(3) = 0, which further leads to (1 - p)^(2)[(1 - p) + 3p] = 0 and (1 - p)^(2)(1 + 2p) = 0.

Since (1 - p)^(2) > 0, the solution is given by: 1 + 2p = 0, which results in p = -1/2.

However, the probability of success cannot be negative. Therefore, p cannot be equal to -1/2. Hence, there is no success probability for which the first success is most likely to occur on the fourth attempt.

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Answer:

5 days

Step-by-step explanation:

Given

Damian

\(Base\ Items = 5\)

\(Rate = 3\) daily

Andrea

\(Rate =4\) daily

Required [Missing from the question]

How long will they get the same number of items

Represent the number of items with x and the days with y.

So:

For Damian

\(y = Base\ Items + Rate * x\)

\(y = 5 + 3 * x\)

\(y = 5 + 3 x\)

For Andrea

\(y = Rate * x\)

\(y = 4* x\)

\(y = 4x\)

Equate both expressions.

\(4x = 5 + 3x\)

Collect like terms

\(4x - 3x = 5\)

\(x = 5\)

Hence, they will have equal amount of items after 5 days

We have the next formula to calculate the volume of the cylinder

where

r is the radius

h is the height

in our problem

r=3in

h=9in

we substitute the values

the volume round to the nearest tenth is V=254.5 in ^3

Answer:

LEAST TO GREATEST: 2 3/20,     2 1/4,      2 39/60

Step-by-step explanation:

3 is not a quarter of 20. meaning it is shorter than a quarter. 39 is longer than half of 60. meaning it is longer than a quarter so it is the longest

Answer:

bom é a soma dos algarismos se for matemática

Answer:

$0.57

Step-by-step explanation:

20% of $2.85 =

= 0.2 * $2.85

= $0.57

2.85 x 0.2 = 0.57

Yoon saves 57 cents

Answer:

93.33 miles

Step-by-step explanation:

60 min/ 20 min = 3

280/3 = 93.333333

Answer:

93.3 miles

Step-by-step explanation:

Since there are 60 minutes in an hour and 20/60 = 1/3, you can divide 280 by 3 to get the amount of miles travelled in 20 minutes.

Values the constant c are;

a) c = 2.16.

b) c = 0.57.

c) c = -1.17.

a) We need to find the value of c such that Φ(c) = 0.9838. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.9838 is approximately 2.16. Therefore, c = 2.16.

b) We need to find the value of c such that P(0 ≤ Z ≤ c) = 0.291. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.291 is approximately 0.57. Therefore, c = 0.57.

c) We need to find the value of c such that P(c ≤ Z) = 0.121. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.121 is approximately -1.17. Therefore, c = -1.17.

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Answer:

cosθ = \(\frac{12}{13}\)

Step-by-step explanation:

Given

sinθ = - \(\frac{5}{13}\) = \(\frac{opposite}{hypotenuse}\)

This is a 5- 12- 13 right triangle

with opposite = 5, adjacent = 12 , hypotenuse = 13

since θ is in 4th quadrant then cosθ > 0

cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{12}{13}\)

The trigonometric ratio of cos θ in quadrant IV is 12/13.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

Sin θ = -5/13, and

θ lies in the quadrant IV.

By trigonometric ratio,

\(sin \theta = \frac{opposite}{hypotenuse}\)

⇒ \(sin \theta = -\frac{5}{13}\)

Here opposite side = 5 and

hypotenuse side = 13

The adjacent side can be calculated by using the Pythagoras theorem,

\(Hypotenuse^{2} = opposite^{2} +adjacent^{2}\)

⇒ \(adjacent = \sqrt{hypotenuse^{2} -opposite^{2} }\)

⇒ \(adjacent = \sqrt{13^{2} -5^{2} }\)

⇒ \(adjacent = \sqrt{169 -25 }\)

⇒ \(adjacent = \sqrt{144}\)

⇒ \(adjacent = 12\)

Thus \(cos \theta = \frac{adjacent}{hypotenuse}\)

⇒ \(cos \theta = \frac{12}{13}\)

θ lies in the quadrant IV, so cos θ > 0.

Hence we can conclude that the trigonometric ratio of cos θ in quadrant IV is 12/13.

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Answer:

9z to the negative two power is a polynomial.

Step-by-step explanation:

It is determined as a monomial because it only has one term. And the degree would be -2 because the degree of any polynomial when you put it in standard form is the exponent of the leading term. The leading term is the first term that is in the expression or polynomial. I hope this makes sense. If it doesn't, just comment and I can help you more. :)

Answer:

-6 <= x <= 4

Step-by-step explanation:

a) -15<= 2x -3

-15+3 <= 2x

-12/2 <= x

x >= -6

b) 2x - 3 <= 5

2x <= 5 + 3

x <= 8/2

x <= 4

The angle for shooting laser gun should be 89.98°.

The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).

Writing the formula for tan theta, that relates the given height and distance

Now, tan θ = vertical height ÷ horizontal distance

Keep the values in above mentioned equation of theta to find the angle.

tan θ = \(\frac{443443443}{181818}\)

Performing division to find the tan theta and subsequently calculate the angle

tan θ = 2438.94

θ = tan⁻¹ 2438.94

Calculating tan inverse to find the value of theta

θ = 89.98°

Therefore, the  angle for shooting laser gun by a men in black agent  should be 89.98°.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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The solution of the inequality is x ≤ 3 or x > 18.

An inequality in mathematics is a relation that compares binary number or other mathematical in an unequal way.

Now let us solve the inequality:

6x - 10 ≤ 8

adding 10 on both sides:

or, 6x -10+10 ≤ 8+10

or, 6x ≤ 18

dividing both sides by 6 we get :

or, 6x ÷ 6 ≤ 18 ÷ 6

or, x ≤ 3

For the second inequality:

1/3x+6>12

subtracting 6 from both sides :

or, 1/3x+6 - 6 > 12 - 6

or, 1/3 x > 6

Multiplying both sides by 3

or, x > 18

Therefore the complete solution is x ≤ 3 or x > 18 .

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