Round the following values to 2 significant figures 0.0653​

Answer: y = 2x + 1

Step-by-step explanation:  

Rewrite the equation in standard form:

x+2y=5

2y = -x + 5

y = -(1/2)x + (5/2)

A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here.  The new slope would be 2.  The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:

y = 2x +b

We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.

7 = 2*3 + b

b = 1

The perpendicular line is y = 2x + 1, and goes through point (3,7)

The line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

To graph the two parabolas y = x^2 and y = -x^2 + 2x - 5 in the same coordinate plane, we can use a tool such as a graphing calculator or plot the points of the parabolas by hand. The first parabola, y = x^2, will be a downward-facing parabola centered at the origin with a vertex at (0,0), while the second parabola, y = -x^2 + 2x - 5, will be an upward-facing parabola that is shifted to the right by 1 unit and downward by 5 units.

Next, we want to find the lines that are simultaneously tangent to both parabolas. To do this, we find the derivative of each parabolic function, which gives us the slope of the tangent line at any point on the graph.

For the first parabola, y = x^2, the derivative is 2x, so the slope of the tangent line at any point (x, x^2) is 2x.

For the second parabola, y = -x^2 + 2x - 5, the derivative is 2x - 2, so the slope of the tangent line at any point (x, -x^2 + 2x - 5) is 2x - 2.

To find the equations of the two lines simultaneously tangent to both parabolas, we set the slopes equal to each other and solve for x. This gives us the x-coordinate of the points of tangency on both parabolas, and from there we can use the original functions to find the y-coordinate.

For example, setting the slopes equal to each other, we get:

2x = 2x - 2

0 = -2

So, x = 0, and this point (0, 0) lies on both parabolas. Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

We can repeat this process to find the equation of the second tangent line.

Note: There may be other points of tangency that are not shown on the graph, and these can be found using the same process.

Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

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Answer:

x = 4

Step-by-step explanation:

30x = 29x + 4

subtract 29x from both sides

x = 4

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie can be calculated using the following formula:
Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion. In this case, the sample proportion is equal to the percentage of respondents who chose chocolate pie, which is 48%.

Sample Proportion = 48% = 0.48

Next, we need to calculate the margin of error. The margin of error depends on the confidence level and the sample size. In this case, the confidence level is 90%, which corresponds to a z-score of 1.645 (obtained from a z-table). The sample size is 22.

Margin of Error = z * sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
                = 1.645 * sqrt((0.48 * (1 - 0.48)) / 22)
                = 0.229

Now we can calculate the confidence interval.
Confidence Interval = Sample Proportion ± Margin of Error
                          = 0.48 ± 0.229
                          = (0.251, 0.709)

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie is (0.251, 0.709) at a 90% confidence level.

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Answer:  398.03

Step-by-step explanation:

give 5 stars please

The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

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Answer:

5a + a + 4a = 10 a

Option A) 4a

Answer: 90,000

Step-by-step explanation:

From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.

To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:

Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.

Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:

60% of x = 54,000

60/100 × x = 54,000

0.6 × x = 54,000

0.6x = 54,000

Divide by 0.6

0.6x/0.6 = 54000/0.6

x = 90,000

The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.

Answer:

The first choice is the answer.

Step-by-step explanation:

Answer:

Change in price = 0.154

Step-by-step explanation:

Given that,

The price on Monday = 24.85

The price on Friday = 25.004

We need to find the change in price from Monday to Friday. It can be calculated as follows :

Change = 25.004 - 24.85

= 0.154

So, the required change in the price is equal to 0.154 .

Answer:

there are 80 questions

Step-by-step explanation:

Minimax Regret Approach takes place when the decision chosen is the one corresponding to the minimum of the maximum regrets.

In the Minimax Regret Approach, decisions are evaluated based on their maximum possible regret. It aims to minimize the potential regret associated with a decision by selecting the option that corresponds to the minimum of the maximum regrets.

In decision-making scenarios, individuals often face uncertainty about the outcomes and have to choose from various alternatives. The Minimax Regret Approach provides a systematic method for evaluating these alternatives by considering the regrets associated with each decision.

To apply this approach, the decision-maker identifies the potential outcomes for each decision and determines the corresponding payoffs or losses. The regrets are then calculated by subtracting each payoff from the maximum payoff across all decisions for a particular outcome. The decision with the smallest maximum regret is chosen as it minimizes the potential loss or regret.

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Answer:

13x I think I could be wrong if there are answer choices look at them and make sure.

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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To find an interval of t values such that c(t)=(2t +1,4t-5) parametrizes the segment from (0,-7) to (7,7), we can use the following steps:

Set the x-coordinates of c(t) and the endpoints of the segment equal to each other and solve for t:

2t + 1 = 0  =>  t = -1/2

2t + 1 = 7  =>  t = 3

Set the y-coordinates of c(t) and the endpoints of the segment equal to each other and solve for t:

4t - 5 = -7  =>  t = -1/2

4t - 5 = 7  =>  t = 3

The interval of t values that parametrizes the segment is the intersection of the two intervals found in steps 1 and 2:

[-1/2, 3] ∩ [-1/2, 3] = [-1/2, 3]

Therefore, the interval of t values that parametrizes the segment from (0,-7) to (7,7)is [-1/2, 3].

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Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

Answer:

\(\frac{32}{3}\)

Step-by-step explanation:

If 5! is equal to 5 × 4 × 3 × 2 × 1 and 6! is equal to 6 × 5 × 4 × 3 × 2 × 1, then 4! is equal to 4 × 3 × 2 × 1. Thus, 4! = 4 × 3 × 2 × 1, which can simplify to 24. 4! = 24.

\(4^{4}\) is basically 4 × 4 × 4 × 4, which can simplify to 256.

So,  \(\frac{4^{4}}{4!}\) = \(\frac{256}{24}\).  \(\frac{256}{24}\) can simplify to \(\frac{32}{3}\). Therefore,  \(\frac{4^{4}}{4!}\) = \(\frac{32}{3}\).

Answer:

27π

Step-by-step explanation:

A = πr²

  = π(6)²

   =36π

You want 3/4 of the circle

(3/4) 36π = 27π

Answer:

1409.3

Step-by-step explanation:

Let the distance flown by the arrow in feet be \(d\).

\(\sin 20^{\circ}=\frac{482}{d} \\ \\ \frac{1}{\sin 20^{\circ}}=\frac{d}{482} \\ \\ d=\frac{482}{\sin 20^{\circ}} \\ \\ d \approx 1409.3\)

Answer:

0.6

Step-by-step explanation:

Given that the spinner has 5 equal sections numbered 1 to 5.

Multiples of 2 in 1 to 5 are: {2,4}

Number less than  than 3 are:{1,2}

Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.

{2,4} \(\cup\) {1,2} ={1,2,4}

Number of Outcomes=3

Therefore,

Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3  \(=\dfrac{3}{5}=0.6\)

Answer:

\(2x+5y=20\)

Step-by-step explanation:

Rearranging the equation of the given line into intercept form,

\(5y+2x=10 \\ \\ \frac{x}{5}+\frac{y}{2}=1\)

This means the intercepts are \((5,0)\) and \((0,2)\).

We need to find the equation of the line with intercepts \((0,4)\) and \((10,0)\). This equation is \(\frac{x}{10}+\frac{y}{4}=1\), which rearranges to give \(2x+5y=20\).

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

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Answer:

5/4.75 or about 1.05

Step-by-step explanation:

y2-y1 /x2-x1 is the slope formula

8-3 = 5

5-1/4= 4.75

so 5/4.75 or simplified would be about 1.05

Answer:

false

Step-by-step explanation:

because x - (-3)

= x+3

and x + - 3

= x - 3

so they are not the same

hope this helps

Answer:

False

Step-by-step explanation:

If u minus you go the opposite direction

And you have negative 3

So you do the opposite direction of -3 which is +3

So x+3

$250 is the cost of the dryer.

What do we mean by cost?

To find  the cost of the dryer:

Then,

Therefore, $250 is the cost of the dryer.

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The correct question is given below;
A washer and a dryer cost $1000 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?

Answer:

the answer is A -15

Step-by-step explanation:

Hope this helps!

Answer:

-15

Step-by-step explanation:

6x+15=8x+45

or,6x-8x=45-15

or,-2x=30

or,x=30/-2

or,x=-15

The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.

It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?

In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond

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Answer: 52.173913%

Step-by-step explanation:

The answer is 52.173913%, you can round it <3

I hope this helped! <333

Answer: I got 52.17391304%

Step-by-step explanation:

If you are looking for a rate, you should use R=P/B where R is the % B is the base (23000) and P is the portion (12000) So, it would be set up like this R = 12000/23000



After I got my answer I double checked it by using the formula B = 52.17% x 12000 to see if I got 23000, but instead I got 11,999.10 because I rounded down the long percentage number from 52.17391304% to 52.17%, which would usually be ok and work just fine, but using 52.17% I got 11,999.10. Which is still extremely close to 12000, but not exact. So even though rounding down is usually a requirement in homework situations, this one seems to be an exact percentage with all the digits. Let me know if I can help further. I'm in accounting and I'm curious about this one and would like to know how it goes.

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.