Divide the circumference by the ant length in meters about how many ants would make a trail around the earth write the standard form the scientific notation and one other fo

Answer:

1 and 19

Step-by-step explanation:

Those factors are 1 and 19.  They add up to 20.

Answer:

1 and 20 as your factors to add up to 19.

Step-by-step explanation:

I hope this is right.

Answer:

70 dogs

Step-by-step explanation:

total animal is 98

total ratio is 5+2 = 7

calculate how much each ratio has

98/7 = 14

5 ratio are dogs, so multiply 14 with 5 to get 70 dogs

you can also do:

5/7 × 98 = 70

Based on the given options and the information provided, the missing answer for "Reason 3" is option D, ASA.

The proof mentioned is based on the fact that the two triangles have two pairs of congruent angles and one pair of congruent sides.

This corresponds to the criteria for the ASA postulate, which states that if two triangles have two pairs of congruent angles and one pair of congruent sides, then the triangles are congruent.

Therefore, by using the ASA postulate, we can conclude that the two given triangles are congruent.

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x = -3

Step-by-step explanation:

6x + 18 = 0

6x = -18

x = -3

They can set up total 30 tables in 5 hours.

Multiply in mathematics refers to the continual addition of sets of same size.

2 × 3 = 6

It can be interpreted this way:

Three times two equals six.

Three times two equals six.

Six is two threes.

Given,

Andersons can set up 6 tables in 1 hour

Tables they can set up in 5 hours = 5 × 6

= 30

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Answer:

-2/3

Step-by-step explanation:

Visibly we can see the line passes through (0,3) and (3,1)

The equation for slope is \(\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}\)

I hope this helps! :)

Answer:

Slope = -2/3

Step-by-step explanation:

Rise over run, pick one point of intersection

Go up 2, go to the left until you reach another point of intersection, which is 3 units.

Answer:

To find slop from the given equation,

Slope (m) =

\( \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} \)

So, slope of this equation is - 2

For perpendicular case,

M1 . M2 = - 1

Thus, m2 = 2 ( for this equation)

Similarly,

For parallel case,

M1 = m2

Thus, m2 = - 2 ( for this equation)

limx→0sinaxcosbxsincx=limx→0(cosbx⋅sinaxax⋅cxsincx⋅ac)=ac

========================================

Work Shown:

(small vertical)/(large vertical) = (small horizontal)/(large horizontal)

8/x = 16/40

8*40 = x*16 .... cross multiply

320 = 16x

16x = 320

x = 320/16  .... divide both sides by 16

x = 20

Note: there are other proportions you could set up such as 8/16 = x/40. The key here is that whatever equation you set up, it must cross multiply to 16x = 320 so that you get the same solution.

Answer:

1) 11x^3 - 6x - 3

2) 3x^3 + 4x^2 - 2x - 1

3) 9x^2 - 4

4) -4x^4 + 2x^3 - x^2

5) x^3 - 38x - 12

Step-by-step explanation:

1) (3x^4 + 5x^3 - 7x + 2) - (3x^4 - 6x^3 - x + 5)

Step 1: 3x^4 + 5x^3 - 7x + 2 - 3x^4 + 6x^3 + x - 5 (multiply the terms in the parenthesis by the constants, which are 1 and -1)

Step 2: 3x^4 - 3x^4 + 5x^3 + 6x^3 - 7x + x + 2 - 5 (reorganize the polynomial by exponential values (ex: x^4 before x^3 before x^1))

Step 3: 11x^3 - 6x - 3 (add like terms)

2) (3x^3 + 8x - 3) + (4x^2 - 10x + 2)

Step 1: 3x^3 + 8x - 3 + 4x^2 - 10x + 2 (multiply the terms in the parenthesis by the constants)

Step 2: 3x^3 + 4x^2 + 8x - 10x - 3 + 2 (reorganize the polynomial)

Step 3: 3x^3 + 4x^2 - 2x - 1 (add like terms)

3) (3x + 2)(3x - 2)

Step 1: 9x^2 - 6x + 6x - 4 (Use FOIL to multiply binomials, or multiply the first terms, outside terms, inside terms, then last terms)

Step 2: 9x^2 - 4 (add like terms)

4) -x^2(4x^2 - 2x + 1)

Step 1: (-x^2*4x^2) + (-x^2*(-2x)) + (-x^2*1) (multiply -x^2 by each term)

Step 2: -4x^4 + 2x^3 - x^2 (simplify; remember x^2 is the same as -1*x^2)

5) (x + 6)(x^2 - 6x - 2)

Step 1: ((x*x^2) + (x*(-6x)) + (x*(-2))) + ((6*x^2) + (6*(-6x)) + (6*(-2))) (multiply the first term in the binomial by each term in the trinomial, and do the same with the second term)

Step 2: x^3 - 6x^2 + 6x^2 - 2x - 36x - 12 (simplify and reorganize)

Step 3: x^3 - 38x - 12 (add like terms again)

a) The z-score for a shoe size of 7.5 is approximately -0.4.

b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.

c) The z-score for a shoe size of 9 is approximately 0.8.

d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.

e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.

a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.

b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.

c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.

d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.

e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.

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The function is concave down on the interval ((2 -√(2))/2, (2 + √(2))/2), and concave up on the other two intervals. The inflection points are at x = (2 - √(2))/2 and x = (2 + √(2))/2.

To determine where the function is concave up or concave down, we need to find the second derivative and check its sign:

f(x) = x⁴ - 4x³ - 6x² - x - 7

f'(x) = 4x³ - 12x² - 12x - 1

f''(x) = 12x² - 24x - 12 = 12(x² - 2x - 1)

To find the intervals of concavity, we need to solve the inequality 12(x² - 2x - 1) > 0:

x² - 2x - 1 > 0

Using the quadratic formula, we find the roots of the quadratic equation:

x = (2 ± √(2))/2

These are the critical points where the concavity changes, so we can use them to divide the real line into three intervals:

(-∞, (2 - √(2))/2), ((2 - √(2))/2, (2 + √(2))/2), ((2 + √(2))/2, +∞)

Now we can test any value in each interval to determine the sign of the second derivative and any inflection points, and thus the concavity:

For x < (2 - √(2))/2:

f''(x) > 0, so f(x) is concave up.

For (2 - √(2))/2 < x < (2 + √(2))/2:

f''(x) < 0, so f(x) is concave down.

For x > (2 + √(2))/2:

f''(x) > 0, so f(x) is concave up.

Therefore, on the intervals((2 -√(2))/2, (2 + √(2))/2), the function is concave down, whereas on the other two intervals, it is concave up. Both at x = (2 - √(2))/2 and x = (2 + √(2))/2.

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Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

================

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Answer:

¢2,700

Step-by-step explanation:

6 pencils = ¢1,800.00

9 pencils = x

Cross multiplying

6x = 16200

x = 2700

Answer

13.95

Step-by-step explanation:

31.7 is 31.70 then add 13.95 then it equals 45.65.

Answer:

-0.38%

Step-by-step explanation:

Divide 31 by 50. 31 / 50 = 0.62.

1 - 0.62 = 0.38

Since it is a decrease in change the percent change is negative.

-0.38%

Let x be number of giftcard of 25$

y be number of giftcard of 50$

x+y=54

x=54-y. equation 1

25*x+50*y=2250

25(54-y)+50y=2250

1350-25y+50y=2250

25y=2250-1350

25y=900

y=36

put value of y in equation 1

x=54-36

x=18

Answer:

the answer is c they bother are the same and have the same equals

The volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

For the given question;

The volume of air inhale (and exhale) once = 0.475 liters

Number of breathing in 1 minutes = 18 times.

Thus, the volume of air inhaled in 1 minutes is 0.47×18 = 8.46 litres.

This can be written as;

1 minutes ------- > 8.46 litres of air.

For calculating in 8 hours that is 8×60 = 480 minutes, multiply the both side by 480 in above equation;

1× 480 minutes ------- >  480×8.46 litres of air.

480 minutes --------> 4060.8 litres of air.

Therefore. the volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

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We have 1 = C(0), which implies that C is undefined.Let x = 2. Then, we have 1 = B(0), which implies that B is undefined.It is impossible to find real numbers a and b that satisfy the equation 1 / (x-1)^2(x-2) = a / (x-1)^2 + b / (x-2).

Let's prove that there are no real numbers a and b that make the following partial fraction decomposition true: 1 / (x-1)^2(x-2

= a / (x-1)^2 + b / (x-2)We know that a and b are real numbers and that the denominators x - 1 and x - 2 are linear factors. Therefore, the partial fraction decomposition above is valid and true for all real numbers x, except for x

= 1 and x

= 2, which make the denominators zero and create a singularity.The denominator of the given rational function can be factored as follows: 1 / (x-1)^2(x-2)

= A / (x-1) + B / (x-1)^2 + C / (x-2), where A, B, and C are constants.Let's find A, B, and C by adding the three fractions together and equating the numerators of both sides of the equation:1

= A(x-1)(x-2) + B(x-2) + C(x-1)^2Let x

= 1. We have 1

= C(0), which implies that C is undefined.Let x

= 2. Then, we have 1

= B(0), which implies that B is undefined.It is impossible to find real numbers a and b that satisfy the equation 1 / (x-1)^2(x-2)

= a / (x-1)^2 + b / (x-2).

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To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:

8>x≥4

Step-by-step explanation:

x cannot be greater than 8 but is greater than or equal to 4

Answer:

3/2 - 4 = y

Step-by-step explanation:

2y - 3x = -8 original problem

2y -3x + 8 = 0 addition property of equality

-3x + 8 = -2y subtraction property of equality

3/2x - 4 = y division property of equality

The predicted amount of money spent on entertainment for a student who doesn't work any hours is $11.28.

The predicted amount of money spent on entertainment for a student who works 12 hours is $33.6.

For an increase of one hour in time worked, the predicted increase in the amount of money spent on entertainment is $1.86.

In order to determine the​ predicted amount of money spent on entertainment for a student who doesn't work any hours, we would have to substitute the value representing the number of hours (x) into the linear function representing the amount of money spent and then evaluate as follows;

y = 1.86x + 11.28

When the value of x = 0 hours, the number of minutes (y) is given by;

y = 1.86(0) + 11.28

y = 0 + 11.28

y = $11.28.

When the value of x = 12 hours, the number of minutes (y) is given by;

y = 1.86(12) + 11.28

y = 22.32 + 11.28

y = $33.6.

In conclusion, the rate of change is equal to 1.81 for an increase of one hour in time worked.

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Answer:

The answer is 2/4=1/2

Step-by-step explanation:

since there are 4 tires and equally have a chance to become flat. The probability that of the front tires to become flat is 1/2.

2 front tires and 2 back tires.

1/2

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The level of significance, in hypothesis testing, is the probability of rejecting a null hypothesis when it is actually true.

This is why it is important to set a proper level of significance before conducting the hypothesis testing to minimize the risk of making a type I error (incorrectly rejecting a true null hypothesis). This criterion is known as (alpha) and is usually always set to in null hypothesis testing.  0.05, and 0.01 are typical values. The level of significance is typically set at 0.05 or 0.01, meaning that there is a 5% or 1% chance of rejecting the null hypothesis when it is actually true.

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The level of significance, in hypothesis testing, is the probability of  rejecting null hypothesis. accepting a true rejecting a true rejecting a false accepting a false

In hypothesis testing, the level of significance (often denoted as α) is a predetermined threshold used to make a decision about the null hypothesis. It represents the maximum probability of making a Type I error, which is rejecting a true null hypothesis.

The null hypothesis (H0) is a statement or assumption that suggests there is no significant difference or relationship between variables in a population. The alternative hypothesis (Ha) is the statement that contradicts or opposes the null hypothesis, suggesting that there is a significant difference or relationship.

To perform a hypothesis test, we collect sample data and calculate a test statistic. Then, we compare the test statistic to a critical value determined by the level of significance.

If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. If the test statistic falls within the acceptance region (below the critical value), we fail to reject the null hypothesis.

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The required type of p-value would she want to obtain is small p-value.

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

P-value  shows that the outcomes are genuinely huge.

P-value  in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.

A little P-value  commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

Thus, required answer is small p-value.

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You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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