IQ scores are normally distributed, with a mean of 100 and a standard deviation of 15.

What is the minimum score required to be considered as a part of the 2%?

Hi,

Complete the steps to solve the equation 4e2 + 2x = x − 3 by graphing.

The equation 4e2 + 2x = x - 3 has

x-3

x -coordinates

has no solution

2 ( 3y + 10)

Use 2 to multiply both 3y and 10

Therefore, you have

2 x 3y + 2 x 10

6y + 20

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Answer:

189x^3 + 222x^2 - 1487x + 880

Step-by-step explanation:

magic

The sentence "If it is a dog (d), it has fleas (f)" can be represented in symbolic form as d → f.

In symbolic logic, we represent the components of a sentence using letters or symbols. In this case, the given sentence has two components: "it is a dog" and "it has fleas." To represent these components, we assign the letter 'd' to "it is a dog" and the letter 'f' to "it has fleas."

The sentence "If it is a dog, it has fleas" implies a conditional relationship between the two components. It states that if something is a dog (d), then it has fleas (f). This can be symbolically represented as d → f, where the arrow (→) denotes the conditional relationship.

The given sentence, "If it is a dog (d), it has fleas (f)," can be represented in symbolic form as d → f. The arrow (→) in symbolic logic represents the conditional relationship. It indicates that if something is a dog (d), then it has fleas (f). In this symbolic representation, 'd' stands for "it is a dog," and 'f' represents "it has fleas."

The sentence is a conditional statement because it presents a hypothetical relationship between the two components. The truth value of the sentence depends on whether the antecedent (d) is true or false. If something is indeed a dog, then it implies that it has fleas. However, if it is not a dog, the statement does not make any specific claim about fleas.

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Answer:

  (x -8)(x +3)

Step-by-step explanation:

You want to factor x^2 - 5x - 24.

This polynomial is called a "monic" polynomial, because the leading coefficient is 1. These can be easier to factor than polynomials with a leading coefficient other than 1.

Consider the product of the factors:

  (x +a)(x +b) = x² +(a+b)x +ab

Comparing this to the given polynomial, you can see that ...

This tells you that you are looking for two factors of -24 that have a total of -5. It often works well to simply list the factor pairs. We know the factor with the larger magnitude is negative.

  -24 = -24·1 = -12·2 = -8·3 = -6·4

The sums of these factor pairs are -23, -10, -5, -2. The factors of -24 that we want are -8 and +3. These go directly into the binomial factors:

  (x -8)(x +3) = x² -5x -24

__

Additional comment

You may see some "aids" to help you with this process, and they may be given names, such as "X method." The basic idea is to write down the product and sum you're looking for (-24 and -5, respectively), then fill in the other spaces with the values that have that product and sum. Be sure to use whatever method you find helpful.

If the polynomial is not monic, then the process is similar, but has some extra steps. There are different methods available for that, too.

If you're not completely familiar with your multiplication tables, it would be good to revisit those. A ready knowledge of number factors is very helpful in this process.

It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.

An R-squared value of 0.50 is considered moderate, but the interpretation of the results will depend on the specific circumstances.

To test for overall significance, we can perform an F-test with a significance level of 0.05.

The null hypothesis is that all regression coefficients are equal to zero, while the alternative hypothesis is that at least one coefficient is not equal to zero.

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a. From fastest to slowest, the speeds of the balls at the right ends of the tracks will depend on the curvature of the tracks.

If the tracks are of equal length but have different curvatures, the ball on the track with the least curvature will have the highest speed, followed by the ball on the track with the next least curvature, followed by the ball on the track with the most curvature.

b. From longest to shortest, the tracks in terms of the times for the balls to reach the ends will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the most curvature will have the longest time for the ball to reach the end, followed by the track with the next most curvature, followed by the track with the least curvature.

c. From greatest to least, the tracks in terms of the average speeds of the balls will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the least curvature will have the highest average speed, followed by the track with the next least curvature, followed by the track with the most curvature.

All the balls will have the same average speed on all three tracks if the track lengths are equal, but will have different speeds at the end of each track due to the different curvatures.

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The solution is, the true statements are,

The function is increasing. (True) it’s a linear function and 1/3>0.

The range of the function is all real numbers. (​True)

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The function is increasing. (True) it’s a linear function and 1/3>0.

The function is decreasing. (False)

The x-intercept is (1,0). (False) If we replace x by 1 we get 1/3 not 0

The y-intercept is (0, 1). (False)

The range of the function is all real numbers. (​True)

Hence, The solution is, the true statements are,

The function is increasing. (True) it’s a linear function and 1/3>0.

The range of the function is all real numbers. (​True)

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Answer:

Step-by-step explanation:

tru i took the test

Answer: Its C

Step-by-step explanation:  24 only pops up and the bottom of the equation and all of the other answers are being used in the problem.

The appropriate hypotheses using a significance level of 0.05 reject H0.

The hypothesis :

H0 : μL - μP ≥ 25

H0 : μL - μP < 25

The sample mean difference; Xd

d = L - P

Xd = Σd/n

d = -198,-336,-70,-18,-122,-9,-50,-5,-163,-86

Xd = - 1057 / 10

Xd = - 105.7

Using calculator ;

Standard deviation of difference, Sd = 103.845

The test statistic :

T = Xd ÷ (Sd/√n)

T = -105.7 ÷ (103.845/√10)

T = - 3.219

Decision region :

Reject H0 ; If P-value < α

The P-value : df = n - 1 ; 10 - 1 = 9

P-value(-3.219, 9) ; two-tailed = 0.00525

Hence the answer is, the appropriate hypotheses using a significance level of 0.05 reject H0.

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Answer:

yellow pint is 1 and blue pint is 3

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

3x - 5 + 2x + 1 + 4x = 23

9x - 4 = 23

9x = 27

x = 3

3x - 5 = 3(3) - 5 = 4

2x + 1 = 2(3) + 1 = 7

4x = 4(3) = 12

Answer: 12

The equation of the tangent to the curve at the point corresponding to t = 16 is y = 62x − 774.

To find the equation of the tangent, we first need to find the slope of the tangent. We can do this by finding the derivative of y with respect to x:

dy/dx = d/dx(t² - 2t) = 2t - 2

Substituting t = 16, we get:

dy/dx|t=16 = 2(16) - 2 = 30

So the slope of the tangent at t = 16 is 30. To find the y-intercept of the tangent, we can substitute t = 16 and the coordinates (16, 224) into the point-slope form of a line: y - 224 = 30(x - 16)

Simplifying this equation gives:

y = 30x - 416

Therefore, the equation of the tangent to the curve at t = 16 is y = 62x - 774 (which is equivalent to the equation we just found by simplifying).

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No, The range of r contains points that are not in the domain of f.

Calculus is a branch of mathematics that deals with the study of rates of change, accumulation, and mathematical modeling of continuous quantities.

The correct answer is: No. The range of r contains points that are not in the domain of f.

In order for a function to be integrable along a curve, the curve must lie entirely within the domain of the function. The domain of a function is the set of all possible input values for which the function is defined.

In this case, the function f(x, y, z) = x ln(yz) has a domain that depends on the values of x, y, and z. However, the curve C, parametrized by r(t) = et², ln(t) + 1/2, t³ - 2, where 0 ≤ t ≤ e, may contain points that fall outside the domain of f.

Hence, f may not be integrable along C because the range of r (i.e., the set of all possible points traced by C) contains points that are not in the domain of f.

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Answer:

C

Step-by-step explanation:

Move 2x to the right side of the equation and it becomes -7y= -2x + 24 and then divide by -7 and then it becomes y = 2/7 x -24/7

Answer:

2x - 7y = 24

2x - 24 = 7y

7y = 2x - 24

y = (2x - 24)/7

= 2/7x - 24/7

3) \(\angle B \cong \angle Y\)

4) \(\triangle ABC \sim \triangle ZYX\) by the SAS similarity theorem

ΔABC is similar ΔZYX by the SAS similarity theorem. Therefore, option B is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

1. AB/ZY = BC/YX = 2

2. ∠B and ∠Y are right angles

3. ∠B=∠Y

4. ΔABC is similar ΔZYX by the SAS similarity theorem.

Therefore, option B is the correct answer.

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Patty's garden will nοt be in the shape οf a right triangle.

Pythagοras Theοrem is the way in which yοu can find the missing length οf a right angled triangle.

Tο determine if Patty's garden will be in the shape οf a right triangle, we can use the Pythagοrean theοrem, which states that in a right triangle, the sum οf the squares οf the lengths οf the twο shοrter sides is equal tο the square οf the length οf the lοngest side (hypοtenuse).

Sο, if the lengths οf the three sides οf Patty's garden fοrm a right triangle, we shοuld be able tο find twο sides whοse squares add up tο the square οf the third side.

Let's call the sides οf the triangle a, b, and c, with c being the lοngest side (the hypοtenuse). Then, we have:

a = 7 feet

b = 10 feet

c = 8 feet

We can check if this is a right triangle by testing if the Pythagοrean theοrem hοlds:

\(\rm a^2 + b^2 = c^2\)

Substituting the values we have:

\(\rm 7^2 + 10^2 = 8^2\)

Simplifying:

49 + 100 = 64

149 ≠ 64

Since the equatiοn is nοt true, this means that the sides οf the triangle dο nοt fοrm a right triangle.

Hence, Patty's garden will nοt be in the shape οf a right triangle.

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Answer:

Step-by-step explanation:

Limits exist for:

\(\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}\) = \(\frac{(x-4)(x+3)}{4-x}\) = ( - 1 )( x + 3 ) = - 7

\(\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}\) = \(\frac{(x+4)(x-2)}{2-x}\) = ( - 1 )( x + 4 ) = - 6

\(\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}\) = \(\frac{(x+5)(x-2)}{(x+2)(x-2)}\) = \(\frac{x+5}{x+2}\) = \(\frac{7}{4}\)

\(8 < x+2 < 20\)

a) Add -2 to all sides.

\(8+-2 < x+2-2 < 20+-2\)

\(6 < x < 18\)

Your answer would be \(6 < x < 18\)

Your answer should be: (6,18)

Mr. Kinders will have $83,858.77 in the RRSP after 20 years. The interest earned over this period will amount to $43,858.77.

To calculate the future value of Mr. Kinders' RRSP, we can use the formula for compound interest:

Future Value (FV) = P * (1 + r/n)^(nt)

Where:

P = Monthly contribution = $200.00

r = Annual interest rate = 3% = 0.03 (expressed as a decimal)

n = Number of compounding periods per year = 4 (quarterly compounding)

t = Number of years = 20

Substituting these values into the formula, we can calculate the future value:

FV = $200 * (1 + 0.03/4)^(4*20)

FV ≈ $83,858.77

Therefore, Mr. Kinders will have approximately $83,858.77 in the RRSP after 20 years.

To calculate the amount of interest earned, we can subtract the total contributions made from the future value:

Interest = FV - Total Contributions

The total contributions can be calculated by multiplying the monthly contribution by the number of months (20 years * 12 months/year = 240 months):

Total Contributions = $200 * 240

Total Contributions = $48,000

Substituting the values into the formula, we can calculate the interest:

Interest = $83,858.77 - $48,000

Interest ≈ $35,858.77

Therefore, the amount of interest earned in the RRSP over 20 years is approximately $43,858.77.

After 20 years of contributing $200 per month to his RRSP, compounded quarterly at an interest rate of 3% per annum, Mr. Kinders will have approximately $83,858.77 in his RRSP.

The interest earned during this period will amount to approximately $43,858.77. Compound interest calculations allow individuals to estimate the growth of their investments over time and make informed financial decisions.

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Answer:

The geometric mean of 5 and 10 is √(50), or approximately 7.071.

SOLUTION

The given equation is:

To graph the equation, calculate a few values of y

When x=3, it follows:

It follows that the point (0,4) is on the graph.

Following the same procdure few other possible points are:

The graph of the function is shown below:

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

Answer:

64/672/882(986)*866772