Solve x^2+6x=5 using any method. Round your solutions to the nearest hundredth

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer: y=-2x + 3

Step-by-step explanation:

(0,3)   and (2,-1)

3-(-1)= 4

0-2= -2  

4/-2= -2  so the slope is -2  and we already know the y intercept is 3 because that is when x is 0.

so the equation will    y= -2x + 3

Semantics is the branch of linguistics that explores how meaning is conveyed through language. In the context of big data, it refers to the changes in the interpretation of data and how it can be used to yield meaningful insights.

Semantics is a branch of linguistics that deals with the study of meaning in language. In the context of big data, semantics relates to how data is interpreted and how it can be used to gain meaningful insights. Semantic analysis looks at the context of data and how it changes in meaning over time. This analysis helps to understand how the data can be used to make decisions, solve problems, and improve processes. Semantic analysis also helps to identify trends, relationships, and patterns in data that can be used to formulate decisions, plans, and strategies. By understanding the changes in meaning, organizations can use the data to make more informed and accurate decisions.

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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Answer: \(\Large\boxed{2}\)

Concept:

Here, we need to know the idea of the PEMDAS method.

PEMDAS is an acronym for the order of operations.

Solve:

Given expression

\(\dfrac{3^3~-~13}{11~-~2^2}\)

Simplify the exponents

\(=\dfrac{27~-~13}{11~-~4}\)

Simplify by subtraction

\(=\dfrac{14}{7}\)

Simplify the fraction

\(\Large\boxed{=2}\)

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The value of the sum of squares due to regression (SSR) is 17.43.

Certainly! In statistics, the sum of squares is a measure that quantifies the variability or dispersion of data points around a certain value. It is commonly used in regression analysis to assess how well a regression line or model fits the observed data.

The total sum of squares (SST) represents the total variability in the dependent variable, which is the sum of the squared differences between each data point and the overall mean of the dependent variable. It is a measure of the total deviation of the data points from the mean.

The sum of squares due to error (SSE), also known as the residual sum of squares, represents the unexplained variability in the dependent variable after accounting for the regression model. It is calculated by summing the squared differences between the observed values and the predicted values from the regression model.

The sum of squares due to regression (SSR), also known as the explained sum of squares, represents the variability in the dependent variable that can be attributed to the regression model. It is calculated by subtracting the SSE from the SST.

In the given scenario, the SST is 23.32 and the SSE is 5.89. By subtracting the SSE from the SST, we obtain the SSR. Substituting the values:

SSR = SST - SSE

   = 23.32 - 5.89

   = 17.43

Therefore, the value of the sum of squares due to regression (SSR) is 17.43.

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Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

\(y=a(1+r)^{x}\)

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

\(f(x) = 12\cdot(1.035)^{x}\)

Comparing this function with the exponential growth function:

\(a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}\)

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

Answer:

C.    Student C, who is paid $290 for 20 hours of work

Step-by-step explanation:

What we know:

    - Student A ( 164.50 = 14 hours )

    - Student B ( 162.00 = 12 hours

    - Student C ( 14.50h = p )

What we need to figure out:

    - How much each person makes per hour ( Pt.1 )

    - Who will make the most in 20 hours ( Pt.2 )

How to execute:

    - Divide for A & B

    - Convert for C

    - Multiply for all

Step 1: Divide the total pay by the hours for A & B

Student A:   164.50 ÷ 14 = 11.75 per hour ( Found PT.1 )

Student B:    162.00 ÷ 12 = 13.50 per hour ( Found PT.1 )

Step 2: Convert C so that it looks like A & B

Student C:    14.5(h) = p  --->   p ÷ h =   14.5 per hour ( Found PT.1 )

Step 3: Multiply the hourly rate by the 20 hours

Student A:   11.75 × 20 = 235 for 20 hours      ( Found PT.2 )

Student B:   13.50 × 20 = 270 for 20 hours     ( Found PT.2 )

Student C:   14.50 × 20 = 290 for 20 hours     ( Found PT.2 )

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I saw the comment about not being able to mark the other person brainliest because no one else answered. I'm here to fix that. Also, the answer is C.

The result to reject the null hypothesis can be interpreted as follows,

There is sufficient evidence to disprove the claim μ = 50.2

What is a null hypothesis?

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts perform a hypothesis testing and employ the null hypothesis, often known as the conjecture. Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

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Answer:

b(4) = -8

Step-by-step explanation:

We are to find the 4th term.

n = 4

b(n) = 1(-2)ⁿ⁻¹

b(4) = 1(-2)⁴⁻¹

b(4) = 1(-2)³

b(4) = 1(-8)

b(4) = -8

Answer:

24 is 44% of 54.55

Step-by-step explanation:

24 ÷ 44% = y ÷ 100%

Solve for y - To do so, we will use cross multiplication.

44y = 24 × 100

44y = 2400

y = 2400 ÷ 100

y = 54.55

In calculating chi-square test statistics, we use the squared difference between the observed (O) and expected (E) values in each cell, divided by the expected value (E). This is referred to as the squared difference, denoted as option C.

The expected number of successes for the Rosi treatment group is given as 126.12, which corresponds to option C.

Regarding the statement, if the three treatments are not equally effective, to reject the null hypothesis, the chi-square statistic for this example will be larger. This statement is true. When the treatments are not equally effective, there will be larger differences between the observed and expected values, leading to a larger chi-square statistic. This increased statistic indicates a greater deviation from what would be expected under the null hypothesis, providing evidence to reject it.

In the given table for testing independence in 2-way tables, the observed values are presented alongside the expected values (in parentheses) for each category. The total counts for each row and column are also provided.

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There are 33 nickels, 7 dimes, and 24 quarters in Jennifer's bucket of coins

Given, there are 64 nickels, dimes, and quarters in total.

We know 20 nickels=1 dollar.

Thus, 1 nickel= 1/20 dollars

10 dimes= 1 dollar => 1 dime= 1/10 dollar

4 quarter= 1 dollar => 1 quarter= ¼ dollar

Let x be the number of nickels, y be the number of dimmed, and z be the number of quarters in the bucket.

Therefore, x+y+z=64 …….. eq(i)

And given, x-z= y+2 =>x=y+z+2 …….. eq(ii)

And, x/20 + y/10 + z/4= 8.35

=> x+ 2y+ 5z= 8.35*20

=> x+ 2y+ 5z= 167……eq(iii)

Now, substituting x+ y+ z= 64 in eq(iii), we get,

y+4z+ 64= 167

=>y+4z= 103…….. eq(iv)

And, substituting x= y+z+2 in eq (i), we get,

2y+2z+2= 64

=>y+z+1=32

=>y+z=31….,eq(v)

Subtracting, eq(v) from eq (iv), we get,

3z=72

=> z= 24

Putting z=24 in eq(v)

=> y+ 24=31

=> y= 7

And, putting y=7 and z=24 in eq(i), we get,

=> x+7+24= 64

=> x=33

Therefore, number of nickels= 33, number of dimes= 7, and number of quarters= 24

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Two similar figures have a ratio of areas 72:32. The ratio of similarity between the two figures is 3:2.

The ratio of areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let's assume the ratio of side lengths is a:b.

Given: Ratio of areas = 72:32

The ratio of areas is the square of the ratio of side lengths. So, we have:

(a/b)^2 = 72/32

Simplifying the equation:

(a/b)^2 = 9/4

Taking the square root of both sides:

a/b = √(9/4)

a/b = 3/2

Hence, the ratio of side lengths of the two similar figures is 3:2.

Since similarity is based on corresponding side lengths, the ratio of similarity is the same as the ratio of side lengths. Therefore, the ratio of similarity between the two figures is 3:2.

This means that for every unit increase in the length of the corresponding side in the smaller figure, the corresponding side in the larger figure increases by 1.5 units.

In summary, the ratio of similarity between the two figures is 3:2, indicating that they are scaled versions of each other with the smaller figure being 3/2 times smaller in each dimension compared to the larger figure.

Hence, the ratio of similarity is 3:2.

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Answer:

The line that shows a slope of Zero is Graph D

Answer:

x=2

Step-by-step explanation:

3x+4=10

subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2

Answer:

12

Step-by-step explanation:

The price level that people expected rise above.

What is the term for price increases?

The rate at which prices rise over a given time is called inflation. A country's cost of living or overall increase in prices are two examples of broad measures of inflation.

What happens when the price level rises above expectations?

The economy's leading indicators are price levels; Inflation occurs when prices rise in response to increased demand, while deflation occurs when prices fall in response to decreased demand.

What happens when the price rises?

The average price of all goods and services sold rises when an economy's price level rises. The percentage increase in a nation's price level over some time, typically a year, is what is used to calculate inflation. This indicates that inflation is taking place during the time when prices rise.

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Answer:

If the two lines are in R n the points equidistant from them form an n − 1 dimensional hyperplane. If n = 2 they form a line halfway between the two original lines. If n = 3 they form a plane that is perpendicular to the plane the lines are in going through the line between them.

A rectangle describes all points in a plane that are equidistant from 2 parallel lines. This is because the width, or the distance between the two lines, is the same throughout the rectangle's length.

In mathematics, the figure that describes all points in a plane equidistant from 2 parallel lines is called a rectangle. Imagine these 2 parallel lines as the non-intersecting sides of the rectangle. The distance between them is equal throughout their length, meaning any point you choose on one of these parallel lines, the distance to the other parallel line (i.e., the perpendicular distance) is always the same, which is the definition of equidistant.

The width of the rectangle is that same constant distance between the two parallel lines. Also remember, a rectangle can indeed be a square, if the lengths of the sides are equal.

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The image point after the transformation is (1, 4)

From the question, we have the following parameters that can be used in our computation:

Point = (-2, 8)

The transformation is given as

D 1/2 ​∘r y-axis ​

This means that we dilate by half, and then reflect across the y-axis

So, we have

Dilation: Image = (-2, 8) * 1/2

Evaluate

Dilation: Image = (-1, 4)

For the reflection, we have

Reflection: (-x, y)

So, we have

Reflection: (1, 4)

Hence, the image point after the transformation is (1, 4)

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Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

thus radius of pipe = 1/2 of 4ft = 2 ft

length of pipe = 17 feet

volume of cylinder is given by \(\pi r^2l\)

where r is the radius and l is the length of cylinder

.

thus volume of pipe is calculated below using above values

\(volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52\)

volume of pipe is 213.52 cubic ft.

Answer:-9.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The coefficient is the number that multiply the variable, in this case x.

Answer:

It's B

Step-by-step explanation:

plato

Answer:

Please clarify your question

Step-by-step explanation: