Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. ​
​Choose an equation to determine x, the maximum number of bracelets Mr. Gonzales could buy.​

Answer:

y=5/4x+15

Step-by-step explanation:

$1 needs to double approximately 20.93 times to reach $2,000,000.

Using the concept of exponential growth.

\(1 * 2^x = 2,000,000\)

Here, "x" represents the number of times $1 needs to double, and 2^x represents the result of doubling $1 x number of times.

Now, we can solve for "x" by taking the logarithm base 2 of both sides of the equation:

\(log2(1 * 2^x) = log2(2,000,000)\)

Using the logarithmic property, we can simplify the equation:

\(log2(1) + log2(2^x) = log2(2,000,000)\)

\(0 + x * log2(2) = log2(2,000,000)\)

x = log2(2,000,000) / log2(2)

Calculating the result:

x ≈ 20.93

Therefore, $1 needs to double approximately 20.93 times to reach $2,000,000.

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Answer:

15. {1, 3, 5, 7}

16. nothing empty set { }

17. {0, 1, 2, 4, 5, 6, 7, 8, 10}

Step-by-step explanation:

the U means combining the sets that fit the criteria

the upside down U means what fits both criteria

for 16, it asks for contradicting criteria so there is nothing in the set.

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Answer:

\(d=101.4\ \text{pounds}/\text{feet}^3\)

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

⇒ 6900 grams = 15.21 pounds

Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

\(d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3\)

Hence, the density of the material is \(101.4\ \text{pounds}/\text{feet}^3\)

The total number of observations is 100. The median (Q2) is the middle value, which is the 50th observation. In this case, the median is 6. To find Q1, we locate the median of the lower half of the data, which is the 25th observation.

The value is 5. To find Q3, we locate the median of the upper half of the data, which is the 75th observation. The value is 7

Lower Inner Fence = Q1 - (1.5 * IQR)

Upper Inner Fence = Q3 + (1.5 * IQR)

Lower Outer Fence = Q1 - (3 * IQR)

Upper Outer Fence = Q3 + (3 * IQR)

Lower Outer Fence = 5 - (3 * 2) = 5 - 6 = -1

Upper Outer Fence = 7 + (3 * 2) = 7 + 6 = 13

Therefore, the IQR is 2, the lower inner fence is 2, the upper inner fence is 10, the lower outer fence is -1, and the upper outer fence is 13.

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Answer:

A, D, and F, it has the MOST potential at A.

Step-by-step explanation:

Higher objects (with further to fall) have greater potential energy.

I'm assuming A, D, and F. Or just A.

Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.

A linear function is modeled by:

y = mx + b

In which:

The linear functions that give the amounts for Franklin and Michael after h hours are given by:

They will be equal when:

F(h) = M(h)

Hence:

26 + 9h = 5 + 12h

3h = 21

h = 7

It will take 7 hours for Michael to deliver as many newspapers as Franklin.

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Answer:

x = -15 - y

y = -15 - x

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=3\\ y=3 \end{cases} \\\\\\ 3=\cfrac{k}{3}\implies 9 = k\hspace{9em}\boxed{y=\cfrac{9}{x}} \\\\\\ \textit{when x = 4, what's "y"?}\qquad y=\cfrac{9}{4}\implies y=2\frac{1}{4}\)

When x = 4, y = 9/4. y will be equal to 9/4 or 2.25.

When a variable y varies inversely as x, it means that their product remains constant. We can represent this relationship mathematically as y = k/x, where k is the constant of variation.

To find the value of k, we can substitute the given values into the equation. Given that

y = 3 when x = 3,

we can write the equation as follows:

3 = k/3

To solve for k, we can multiply both sides of the equation by 3:

9 = k

Now that we have determined the value of k, we can use it to find y when x = 4. Substituting the values into the equation:

y = 9/4

Therefore, when x = 4, y = 9/4. Thus, y is equal to 9/4 or 2.25.

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When we simplify ∛6x⁸ and  ∛7x⁷ by multiplying them, we will have ∛42(x⁵)

Simplifying an algebraic expression, also called simplifying a variable expression, means writing the expression in the most basic way possible by eliminating parentheses and combining like terms

In the question given, the variables are ∛7x⁷ and ∛6x⁸, this can be;

When we simplify or find the product of  ∛7x⁷  and ∛6x⁸, we will have

∛6x⁸ × ∛7x⁷ = ∛42(x⁵)

The is easily possible because we have both complex variables with the same root.

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Answer:

C

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

there is no mistake

The correct response is 503 acres. Around 503 acres with more than 190 bushels of maize per acre is what we would anticipate.

Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is a probability distribution that is symmetric around the mean.

Let X serve as the random variable representing the yield of corn. The issue reveals that the formula for the random variable X's distribution is as follows:

\(X\)≅Nμ=185.2, σ=23.5

A sample of n=1200 acres is taken by a quality control inspector. The sample size is reflected by that.

The likelihood that the random variable X contains more than 190 bushels of maize per acre is also something we wish to calculate. Consequently, we seek to discover:

\(P(X > 190)\)

Additionally, we may use the z score this calculation produces:

z=X-μ/σ

If we substitute the provided values, we get:

\(z=190-185.2/0.2042\)

We desire the possibility that:

\(P(z > 0.2042)=1-P(z < 0.2042)=1-0.5809=0.4191\)

And to determine how many, it would be necessary to assume that each acre would produce more than 190 bushels of maize. The faction obtained can be multiplied by the sample size.

\(r=1200*0.4191=502.92=503\)acres

A 503acre crop with more than 190 bushels of maize per acre is what we would anticipate.

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Answer:

1a 1/4  1b 1/4  2a 5  2b40  

Step-by-step explanation:

Answer:

a: The experimental probability that Mrs Patel will have to stop at this set of lights tomorrow is 32/50 = 0.64.

b: The experimental probability that she will not have to stop at the lights next Wednesday is 1 - 0.64 = 0.36.

Step-by-step explanation:

The probabilities of an event occurring based on the outcomes of an experiment is known as the experimental probability.

The experiment in this scenario involves Mrs. Patel driving herself to work every day. She stopped 32 times at this set of traffic signals during the course of the experiment's 50 working days. The experimental likelihood that she will have to stop at this set of lights tomorrow is 0.64 based on these findings.

The experimental probability is usually more accurate than the theoretical probability because it is based on actual data. However, the experimental probability can be affected by chance.

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CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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We need to know how many gallons of gas $23.36 will buy, so we divide the amount by the cost per gallon: $23.36 ÷ $3.25 per gallon = 7.20 gallons.

Once we know how many gallons of gas we are buying, we can then find out how long it will take to pump that amount of gas. To do that, we multiply the number of gallons by the time per gallon: 7.20 gallons × 21 seconds/gallon = 151.2 seconds.

So, the answer to the question is 151.2 seconds, which is the total time it will take to pump $23.36 worth of gas at $3.25 per gallon and 21 seconds per gallon.

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The Solution:

Given:

Required:

To determine the range of values for x.

Applying the rule of radicals that states that:

We have:

Therefore, the correct answer is [option A]

Answer:

yes

Step-by-step explanation:

becuase 12 is 2/3 of 18 and 4 is 2/3 of 6

Answer:

yes they are equivalent because they both get the same answer 0.3

There is no repeated-measures t statistic for this two-tailed test using the given scores.

The repeated-measures t statistic for a two-tailed test can be calculated using the following formula:

t = (mean difference - hypothesized mean difference) / (standard deviation of the mean difference / square root of sample size)

To calculate the mean difference, subtract the first set of scores (i) from the second set of scores (ii) for each pair:
(3 - 7) = -4
(2 - 6) = -4
(8 - 6) = 2
(7 - 5) = 2

The mean difference is the sum of these differences divided by the sample size:
(-4 + -4 + 2 + 2) / 4 = -4 / 4 = -1

To calculate the standard deviation of the mean difference, first calculate the squared differences between the mean difference and each individual mean difference:
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0

Then, calculate the sum of these squared differences and divide by the sample size minus 1:
(0 + 0 + 0 + 0) / (4 - 1) = 0 / 3 = 0

Finally, calculate the square root of the result:
sqrt(0) = 0

Now, substitute these values into the formula:
t = (-1 - 0) / (0 / sqrt(4)) = -1 / (0 / 2) = -1 / 0 = undefined

Since the standard deviation of the mean difference is 0, the denominator becomes 0 and the t statistic is undefined.

Therefore, there is no repeated-measures t statistic for this two-tailed test using the given scores.

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By using a sampling technique  we ensure that we choose a sample of students that is representative of all 8:00 am classes.

There are  varieties of sampling strategies: chance sampling includes random selection, permitting you to make sturdy statistical inferences approximately the complete organization. Non-opportunity sampling entails non-random selection primarily based on convenience or different standards, permitting you to without problems gather records.

Random sampling is part of the sampling technique wherein every sample has an same possibility of being chosen. A sample chosen randomly is meant to be an unbiased representation of the overall population.

explanation;

we conclude the

Since the students' lecture hallsare on different building the samples are

Dividing the students into groups, the students will be grouped by the buildings of their lecture halls.

The number of students in each building is:

There are 100 students in each building

Then select at random an equal proportion of student from each building let 20 students in each building.

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Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

The equation of the hyperbola is y²/49 - x²/25 = 1

Given that the vertex of a hyperbola is (0, 7), (0, -7) and the asymptotes are at y = ±7x/5,

We need to find the equation of the hyperbola,

For the vertical transverse axis consider an equation of the hyperbola :

(y-k)²/a² - (x-h)²/b² = 1

Comparing the points,

h = 0,

k + a = 7

k - a = -7

So,

k = 0

So,

a = 7

The formula for the equation of the asymptotes of a hyperbola =

y-k = ±a/b (x-h)

Therefore,

y-0 = ±7/b(x-0)

y = ±7/b

The given equation of asymptotes is y = ±7/5,

Comparing both,

7/b = 7/5

b = 5

Put the values in the standard equation of the hyperbola,

(y-0)²/7² - (x-0)²/5² = 1

y²/49 - x²/25 = 1

Hence the equation of the hyperbola is y²/49 - x²/25 = 1

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Answer:

(3,4)

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

When the (∂z/∂x) is 0, the partial derivative (∂z/∂y) will be equal to the total derivative dz/dy.

What is Total Derivative?

The overall change in the dependent variable as a result of changes in all the independent variables is known as the total derivative of a function of multiple variables.

Given that,

A function z(x, y)and its partial derivative (∂z/∂y) is x.

We know that,

total derivative (dz) = (∂z/∂x) dx + (∂z/∂y) dy

here, (∂z/∂y) = x

So, The dz will be equal to (∂z/∂y) dy only if  (∂z/∂x) dx = 0.

hence, (∂z/∂x) should be 0.

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Answer: E

Step-by-step explanation: Base x hight

Answer:

Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).

Step-by-step explanation:

Answer:

25x^2 -20x +4

Step-by-step explanation:

(5x-2)^2

FOIL

(5x-2)(5x-2)

25x^2 -10x -10x +4

25x^2 -20x +4

Answer:a)6,7,8

d)8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30

Step-by-step explanation:

Answer: there’s no attachment so I’m not sure what you need help with

Step-by-step explanation: