can you afford to buy a $50 video game every month if you make $40 a week and spend an average of $150 a month on food and gasoline the same there 4 weeks in the month true or false​

The length of the diagonal is 8√2 ft.

If the side of the square is 8 ft, then the diagonal will form a right triangle with legs of length 8 ft. We can use the Pythagorean theorem to find the length of the diagonal (hypotenuse).

Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, we have:

a = 8 ft (one leg)

b = 8 ft (the other leg)

c = ? (the hypotenuse)

Using the Pythagorean theorem, we have:

c² = a² + b²

c² = 8² + 8²

c² =  64 + 64

c² = 128

c = √128

c = 8√2 ft

Therefore, the length of the diagonal is 8√2 ft.

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The geometric sequences in the options are:

1, 5, 25, 125, 625...

2, 4, 8, 16, 32...

1, -1, 1, -1, 1...

Geometric sequence is a type of sequence in which the ratio of every two successive terms is a constant.

This ratio is  also called the common ratio of the geometric sequence. In other words, in a geometric sequence, every term is multiplied by a constant which results in its next term.

Let's check if the common ratios are constant (the same):

Sequence 1:

Common ratio; 65/64  ≠ 66/65   [No]

Sequence 2:

Common ratio: 5/1 = 25/5 (i.e. 5)  [Yes]​

Sequence 3:

Common ratio: 4/2 = 8/4 (i.e. 2)  [Yes]

Sequence 4:

Common ratio: 3/2  ≠ 5/3  [No]​ ​

Sequence 5:

Common ratio: -1/1 = 1/(-1) (i.e. -1)  [Yes]

Sequence 6:

Common ratio: 8/14 ≠  2/8  [No]

Sequence 7:

Common ratio: 1/1 ≠ 2/1  [No]

Sequence 8:

Common ratio: 8/5 ≠  11/8  [No]

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Answer:

10

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Answer:

\(\boxed{10}\)

Step-by-step explanation:

\(-3=7- \sf BLANK\)

\(\sf Subtract \ 7 \ from \ sides.\)

\(-3-7=-7+7- \sf BLANK\)

\(-10=- \sf BLANK\)

\(\sf Multiply \ both \ sides \ by \ -1.\)

\(-10(-1)=(-1)- \sf BLANK\)

\(10= \sf BLANK\)

Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team

The acceleration vector in polar coordinates is given by the expression: a = (d²r/dt² - r(dθ/dt)² ) R + r² dθ/dt θ.

Here, we have,

To show that the acceleration vector in polar coordinates is given by

a = [d²r/dt² - r(dθ/dt)²]R + [r d²θ/dt² + 2 dr/dt dθ/dt]θ, we can start by finding the time derivative of the velocity vector

V = dr/dt = d/dt (rR)

Using the chain rule, we have:

dV/dt = d/dt (dR/dt)

Now, let's differentiate each component of V with respect to time:

d/dt(rR) = dr/dt R + r dr/dt

Next, we can express dR/dt in terms of polar unit vectors:

dR/dt = dr/dt R + r dθ/dt θ

Substituting this back into the expression for d/dt(rR) we get:

Simplifying further:

dV/dt = (dr/dt + r dr/dt) R + r² dθ/dt​ θ

Now, we can recognize that dV/dt is the acceleration vector a in polar coordinates.

Therefore, we have:

Simplifying further:

a = (d²r/dt² - r(dθ/dt)² ) R + r² dθ/dt θ

This confirms that the acceleration vector in polar coordinates is given by the expression: a = (d²r/dt² - r(dθ/dt)² ) R + r² dθ/dt θ.

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Answer: 25/100= 1/4

Step-by-step explanation:

100/4=25

1*25=25

4*25=100

The fraction is now 25/100

Answer:

a

Step-by-step explanation:

I think it's A so I said A

Answer:

the correct answer is C

Step-by-step explanation:

Answer:

 y = − 2 x

Step-by-step Explanation:

Y + 2 = − 2 ⋅ ( − 1 )  Write in   y = m x + b  form.

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

m  in perpendicular  = − 1 2

(1,-2),y=(1)/(2)x+4

I hope I helped!

Answer:

y = -2x + 8

Step-by-step explanation:

For this problem we need to consider that the equation of a line perpendicular to another line will have a "negative reciprocal" slope so that when they cross, it forms a 90-degree angle, hence perpendicular.  Additionally, we will need to use the point-slope form and re-write it into the slope-intercept form to incorporate (2,4) into our equation.  With these things in mind, let's do that.

y = (1/2)x + (1/2)

We want a "negative reciprocal" so:

y = -2x + (1/2)

Since -2 is the "negative reciprocal" of 1/2.

And now we want to use the point-slope form to incorporate (2,4)

y - y0 = -2 ( x - x0 )

Where, y0 = 4 and x0 = 2.

y - y0 = -2 ( x - x0 )

y - 4 = -2 ( x - 2 )

y - 4 = -2x + 4

y = -2x + 8

So, the equation that is perpendicular to y = (1/2)x + (1/2) and includes the point (2,4) is y = -2x + 8.

Cheers.

Cinnabon's realization that it doesn't just sell cinnamon rolls but instead sells "irresistible indulgence" is an example of a firm taking a customer-centric approach.

By shifting the focus from the product itself to the experience it provides, Cinnabon has identified and tapped into the emotional needs of its customers.

This realization has allowed the company to differentiate itself from its competitors and create a strong brand identity that resonates with its target market.

Additionally, by understanding its customers' desires and preferences, Cinnabon has been able to innovate and introduce new products and services that align with its brand promise of providing indulgent treats.

In summary, Cinnabon's focus on the customer and their experience has enabled the company to stay relevant and successful in a highly competitive industry.

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Answer:

16 weeks

Step-by-step explanation:

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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1) The sequence S is: 9, 12, 15, 18.

2) The types of sequences are:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

1) The sequence S is defined as sn = 3n + 3 * 2. To find the values of S, we can substitute different values of n into the equation:

S1 = 3(1) + 3 * 2 = 3 + 6 = 9

S2 = 3(2) + 3 * 2 = 6 + 6 = 12

S3 = 3(3) + 3 * 2 = 9 + 6 = 15

S4 = 3(4) + 3 * 2 = 12 + 6 = 18

So, the sequence S is: 9, 12, 15, 18.

2) Let's determine the type of the sequences:

a) Sequence a = 2/1, 131.

- This sequence is increasing since the terms are getting larger.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20.

- This sequence is non-decreasing since the terms are either increasing or staying the same (repeated).

To summarize:

a) Sequence a is increasing.

b) Sequence 200, 130, 130, 90, 90, 43, 43, 20 is non-decreasing.

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it must be A because it's is going down word

Answer:

Slope is negative

Step-by-step explanation:

from one point to the next, it goes down 1 (-1) and over 4 (4)

or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.

Answer:

1 is function and 2 is not function.

Step-by-step explanation:

If a linear equation has one output for ever input it is a function. if you give a inout and you get two outputs, it is not a function. the input or x value is called domain and the output or y value is range.

Answer:

Step-by-step explanation:

Starting at 0:8 for every time the x(or the 0) changes up by 1 the y(or the 8) goes down by one

do that with the other  but look how the 4:11/12 is diff form the others. This usually means thar is is a pattern so it should look like

3:10

4:11/12

5:13

6:14

7:15/16

8:17

Answer:

D

Step-by-step explanation:

1 is greater than -1

Hope this helps :)

Step-by-step explanation:

(4sin0 × 4sin0) +(4sin0 × -3cos0)+ (3cos0×4sin0) +(3cos0 × -3cos0)=

16 sin²0 - 12 sin0cos0 + 12 sin0cos0 -

9cos²0

= 16sin²0 - 9 cos²0

\(\\ \sf\longmapsto (4sin\theta+2cos\theta)(4sin\theta-3cos\theta)\)

\(\boxed{\sf (a+b)(a-b)=a^2-b^2}\)

\(\\ \sf\longmapsto (4sin\theta)^2-(3cos\theta)^2\)

\(\\ \sf\longmapsto 16sin^2\theta-9cos^2\theta\)

Answer:

edi wow

Step-by-step explanation:

bwiset ka hahaha

Answer:

-7.42 × 10²⁵

Step-by-step explanation:

Given expression:

\(4.8\times 10^{24}-7.9 \times 10^{25}\)

Rewrite the second exponent as (1+24):

\(\implies 4.8\times 10^{24}-7.9 \times 10^{(1+24)}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\implies 4.8\times 10^{24}-7.9 \times 10^1 \times 10^{24}\)

Simplify:

\(\implies 4.8\times 10^{24}-7.9 \times 10 \times 10^{24}\)

\(\implies 4.8\times 10^{24}-79 \times 10^{24}\)

Factor out the common term 10²⁴:

\(\implies (4.8-79)10^{24}\)

Carry out the subtraction inside the parentheses:

\(\implies -74.2 \times 10^{24}\)

To write the answer in scientific notation \(a \times 10^n\) then 1 ≤ a < 10.

Therefore, divide -74.2 by 10, which means we need to multiply 10²⁴ by 10:

\(\implies -74.2 \div 10 \times 10^{24} \times 10\)

\(\implies -7.42 \times 10^{24} \times 10^1\)

\(\implies -7.42 \times 10^{(24+1)}\)

\(\implies -7.42 \times 10^{25}\)

To approximate the definite integral using a series, we need to know the function and the interval of integration. Since you haven't provided this information, I am unable to give a specific answer. However, I can provide a general approach for using series to approximate integrals.

One commonly used series for approximating integrals is the Taylor series expansion. The Taylor series represents a function as an infinite sum of terms, which allows us to approximate the function within a certain range.

To approximate the definite integral, we can use the Taylor series expansion of the function and integrate each term of the series individually. This is known as term-by-term integration.

The accuracy of the approximation depends on the number of terms included in the series. Adding more terms increases the precision but also increases the computational complexity. Typically, we stop adding terms when the desired level of accuracy is achieved.

To provide a specific approximation, I would need the function and the interval of integration. If you can provide these details, I would be happy to help you with the series approximation of the definite integral, giving the answer correct to 3 decimal places.

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Use series to approximate the definite integral I. (Give your answer correct to 3 decimal places.) I = int_0^1 2 x cos\(x^2\)dx

The final answer of 25 x 14.2 = 355, not 99.40.

Let us look at Jack's working.

Line #1: 10 x 14.2 = 14.20

Line #2: 20 x 14.2 = 28.40

Line #3: 5 x 14.2 = 71

Line #4: 25 x 14.2 = 28.40 + 71 = 99.40

There are errors in his calculations, since he hasn't used a calculator.

In Line #1, 10 x 14.20 = 142.0, not 14.20.

In Line #2, 20 x 14.2 = 284.0, not 28.40.

Line #3 is correct mathematically.

Line #4 is the conclusion, and since the values of Lines #1 and #2 were wrong, therefore the values of Line #4 will change.

25 x 14.2 = 284.0 + 71.0 = 355.

Using a calculator to check, the value of 25 x 14.2 = 355.

Hence, after making these small corrections, Jack's final answer without using a calculator will be 355, which is mathematically correct.

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The support count for an itemset is calculated by counting the number of transactions that contain all the items in the itemset. The support count can also be used to generate frequent item sets and association rules.

In the given transaction database represented by the matrix D, we are required to determine the occurrence frequency of itemset (I₁, I₃, I₅).Firstly, let us find the support count for itemset I₁Support count for I₁ = number of transactions containing I₁= 4 (transactions T₁, T₂, T₅, and T₄)Next, let us find the support count for itemset I₃Support count for I₃ = number of transactions containing I₃= 3 (transactions T₂, T₄, and T₅)Now, let us find the support count for itemset I₅Support count for I₅ = number of transactions containing I₅= 4 (transactions T₂, T₄, T₅, and T₁)Next, let us find the support count for itemset (I₁, I₃)Support count for (I₁, I₃) = number of transactions containing I₁ and I₃= 2 (transactions T₂ and T₅)Then, let us find the support count for itemset (I₃, I₅)Support count for (I₃, I₅) = number of transactions containing I₃ and I₅= 2 (transactions T₂ and T₅)Finally, let us find the support count for itemset (I₁, I₃, I₅)Support count for (I₁, I₃, I₅) = number of transactions containing I₁, I₃, and I₅= 1 (transaction T₂)Therefore, the occurrence frequency of itemset (I₁, I₃, I₅) is 1. The occurrence frequency can also be termed as the support count for the itemset (I₁, I₃, I₅).The support count or occurrence frequency of an itemset is the count of transactions that contain the itemset. It is used to measure the importance of an itemset in a transaction database.

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Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

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Solution'

To find the groups profit:

The formula for profit = Total income - Total cost

Cost of the muffin sales = since it cost $3.50 to bake a muffin

1 dozen = 12 (3.50) = $42

For a youth group of 15

The total cost of sales = 15 x 42 = $630

profit = total income - total cost

Profit = $1035 - $630

Profit = $405

The correct answer is that the value of g(x) cannot be determined based on the given information.

To find the value of g(x) given the function f(x) = 4², we need to substitute the value of x into the function and evaluate it. However, the problem does not provide any information about the value of x or the definition of g(x). Therefore, we cannot determine the exact value of g(x) without further information.

The function f(x) = 4² represents the square of 4, which is equal to 16. However, this information alone does not allow us to determine the value of g(x) or how it relates to f(x).

The options provided (OA, OB, OC, OD) do not give any specific expression for g(x). They only present various mathematical operations involving the number 4 and another number or expression. Without a clear definition of g(x), we cannot select the correct answer.

In mathematical notation, g(x) should be defined explicitly in order to determine its value. It could be another function entirely, or it might be related to f(x) in some way. Without additional context or information, we cannot provide a specific answer for g(x).

Therefore, the correct answer is that the value of g(x) cannot be determined based on the given information.

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Answer: \(y-2=3(x-4)\\y=3x-12+2\\-3x+y=-10\\3x-y=10\)

Step-by-step explanation:

I showed the steps to find the equation. In case you need to know, I used point-slope form, which involves using the formula y-y1=m(x-x1), in which you use a point like (4,2) and the slope, which we know is 3x since it's parallel to the original line. Simplifying and bringing it to standard form such as Ax+By=C. Ax has to be positive, which is why -3x went to positive, and y and -10 switched signs.

Answer:

A

Step-by-step explanation:

Given the graph of f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

g(x) is the graph of f(x) shifted 1 unit to the left , then

g(x) = (x + 1)² → A

Answer:

f(x) = -x -11

    = -9-11 = -20

f(x) = -x-11

    = -6-11= -17

Step-by-step explanation: