A garage charges $55 per tire and $30 per hour of labor. If you need two tires and it takes half an hour to install, how much do you pay?

Answers

Answer 1

Answer: $125

Step-by-step explanation:

$55 per tire (2)

$30 per hour of labor (0.5)

$55(2)+30(0.5)=$125

Answer 2

Answer:

$125

Step-by-step explanation:

2 tires =$110 ($55 each tire)

half an hour of labor=$15


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it is -4.5 or four and a half
the answer is -5 1/2

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The linear function y = 3 · w - 1 represents the number of sea shells found in each week.

The speed of the driven gear is 180 rounds per minute.

How to use direct and inverse relationships to analyze situations

In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.

In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:

[tex]\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}[/tex]

If we know that [tex]v_{2} = 60\,rpm[/tex], [tex]N_{2} = 60[/tex] and [tex]N_{1} = 20[/tex], then the speed of the driven gear is:

[tex]v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}[/tex]

[tex]v_{1} = 60\,rpm \times \frac{60}{20}[/tex]

[tex]v_{1} = 180\,rpm[/tex]

The speed of the driven gear is 180 rounds per minute.

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ION 10
answered
out of 1.00
Flag
n
What is the likelihood of Jada investing with Bank JNC if the following holds under the following conditions?
..
there is a 75% chance Jada will invest if the economic conditions remain stable;
there is a 25% chance investing if economic conditions suffer a decline;
there is a 55% chance of investing if the economic conditions improve.
the chance the economic conditions remaining stable (S), declining (D) and improving (1) are 0.20, 0.40
and 0.40, respectively.
Select one:
O.a. 0.135
O b. 0.103
OC. 0.400
O d. 0.470

Answers

Answer:

a

Step-by-step explanation:

I need help determining how many roots

Answers

By graphing the polynomial, we conclude that there is only one real root, so the correct option is A.

How many roots has the given polynomial?

We have the polynomial:

[tex]y = -3x^2 + 12x - 12[/tex]

To see how many real roots this polynomial has, we can graph it and see how many times the graph intercepts the x-axis.

The graph can be seen below:

There we can see that there is only one intercept, so there is only one real root.

So the correct option is A.

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p(m) = 2m² − 4m + 3, find p(1/3)

Answers

Answer:

17/9

Step-by-step explanation:

Plug in 1/3 as m.

2*(1/3)^2 - 4(1/3) + 3 = 17/9

The magnitude, M, of an earthquake is represented by the equation M=2/3logE/E0 where E is the amount of energy released by the earthquake in joules and E0=10^4.4 is the assigned minimal measure released by an earthquake. Which shows a valid step in the process of calculating the magnitude of an earthquake releasing 2.5 • 10^15 joules of energy?

2.5•10^15 = 2/3logE/10^4.4
10^4.4=2/3logE/2.5•10^15
M=2/3log(9.95•10^9)
M=2/3log(2.55•10^10)
M=2/3log(9.95•10^10)

Answers

The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

M = (2/3) * log (E/E₀)

Where M is the magnitude, E is the amount of energy and E₀ = 10^4..4

For E = 2.5 * 10¹⁵:

M = (2/3) * log (2.5 * 10¹⁵/10^4.4)

M = 7.33

The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33

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What is the best approximation of the solution to the system to the nearest integer values?

Answers

Answer:

(-2, 6)

Step-by-step explanation:

3x - 4y = -32

3x + 5y = 24

-9y = -56

y = [tex]\frac{56}{9}[/tex] = 6

3x - 4*[tex]\frac{56}{9}[/tex] = -32

3x - [tex]\frac{224}{9}[/tex] = -32

3x = -32 + [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{288}{9}[/tex]+ [tex]\frac{224}{9}[/tex]

3x = -[tex]\frac{64}{9}[/tex]

x = -[tex]\frac{64}{27}[/tex] = -2

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options. The axis of symmetry is the line x = –5. The vertex of the graph is (5, –37). The parabola has a minimum. The parabola opens up. The value of a, when the equation is written in vertex form, is negative.

Answers

Answer:

The vertex of the graph is (5, -37) [see attached image]The parabola has a minimum [the coefficient of x² is positive]The parabola opens up [the coefficient of x² is positive]

All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function g(x) = 10x² - 100x + 213 written in vertex form is,

⇒ g(x) = 10(x – 5)² – 37.

Since, General equation is,

y = a (x - h)² + k

Where, (h, k) is vertex of parabola.

Hence, We get;

The vertex of the graph is (5, -37)

Since, the coefficient of x² is positive

Hence, The parabola has a minimum

And, The parabola opens up.

Thus, All the correct statements are,

The vertex of the graph is (5, -37).

The parabola has a minimum.

The parabola opens up.

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Given: F(x) = 3xˆ2+ 1, G(x) = 2x-3, H(x) = x F(-2) =

heeeelp

Answers

Answer:

firstly,need to know domain and range

Find and sketch the domain of f(X,y) = 1/√x^2-y

Answers

Answer:

Step-by-step explanation:

The definition of a Domain in math is all the possible input values that go into the function, so we will have to find all the valid values that can go into the function

The function given is [tex]F(x, y)=\frac{1}{\sqrt{x^2-y} }[/tex] , the denominator cannot be 0.
So we set up the equation
[tex]\sqrt{x^2-y} \neq 0[/tex]
[tex]\sqrt{x^2-y}^{2} \neq 0x^2-y\neq 0x^2\neq y[/tex]

And that the the square root needs to be more than 0.
[tex]\sqrt{x^2-y}\geq 0[/tex]
[tex]x^2-y\geq 0[/tex]
[tex]x^2\geq y[/tex]

So we can conclude that all values of [tex]x^{2}[/tex] must be greater y

That means that our domain is all X values greater than[tex]\sqrt{y}[/tex]

Census Bureau data shows that the mean household income in the area served by a shopping mall is $64,500 per year with the standard deviation of $8,000. A market research gathers a random sample of 100 shoppers at the mall to find out whether the mean household income of mall shoppers of $61,000 is different than the general population.

Q: What is the null hypothesis ?

Answers

Considering the situation described, the null hypothesis is given as follows:

[tex]H_0: \mu = 64,000[/tex].

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is the same as in the Census, of $64,000, hence:

[tex]H_0: \mu = 64,000[/tex].

At the alternative hypothesis, it is tested if the mean is different from the Census, hence:

[tex]H_1: \mu \neq 64,000[/tex].

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order the decimales from leaste to gratest: 72.5, 73.943, 72.1, 73.77,

43.2 43.219 42.1 42.59


38.507 38.507 38.4 28.23 39.5


71.743 71.3 71.3 72.43 72.5

Answers

The decimals would be ordered as:

72.1, 72.5, 73.77, 73.943

42.1, 42.59, 43.2, 43.219

28.23, 38.4, 38.507, 38.507, 39.5

71.3, 71.3, 71.743, 72.43, 72.5

How to Order Decimals?

To order decimals from the least to the greatest, first state the lowest value, then progress to the highest taking account of the figures that come immediately after each decimal point.

The decimals will be ordered as shown below:

72.1, 72.5, 73.77, 73.943

42.1, 42.59, 43.2, 43.219

28.23, 38.4, 38.507, 38.507, 39.5

71.3, 71.3, 71.743, 72.43, 72.5

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5x6-3x²+7-2x6-3x6+4x² for x = -10

Answers

Answer:

Hope you like it. I have just wrote answers

Which equation represents the vertex form of the equation y = x² + 2x - 6?
y = (x + 2)² -
y = (x + 1)2 - 6
y = (x + 2)²-7
y = (x + 1)²-7

Answers

Answer:

Step-by-step explanation:

Steps

1] On the right, put brackets around the 1st 2 terms.

y = (x^2 + 2x) - 6

2] Divide the second term's coefficient by 2 and square the result.

2/2 = 1

3] Square the result

1^2 = 1

4] Add that inside the brackets

y = (x^2 + 2x + 1) - 6

5] Subtract 1 outside the brackets. The original equation is still there.

y = (x^2 + 2x + 1) - 6 - 1

y = (x^2 + 2x + 1) - 7

6] What is inside the brackets is a perfect square.

y = (x + 1)^2 - 7

Answer D

Solve. −4 3/4=x−1 1/5 What is the solution to the equation? Enter your answer as a simplified mixed number in the box.

plssssss helppp

Answers

Answer:  x= -3 11/20 Decimal form: x=-3.55

Step-by-step explanation:

Heights of men on a baseball team have a bell-shaped distribution with a mean of 176cm and a standard deviation of 5cm .Using the empirical rule,what is the approximate percentage of men between the following values?


% of the men are between 165cm and 186cm

Answers

95% men are between 165 cm and 186 cm.

What is the empirical rule?

The empirical rule is also referred to as the Three Sigma Rule or the 68-95-99.7 Rule.

z-score = (raw-score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean,

so, 95% men are between 165 cm and 186 cm.

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95% of men are between 165 cm and 186 cm.

What is the approximate percentage of men between the following values?

Given:

The heights of men on a baseball team have a bell-shaped distribution a mean of 176cm and a standard deviation of 5cm.

Find:

What is the approximate percentage of men between the following values?

Solution:

The empirical rule is also referred to as the three sigma rule or the 68-95-99.7

Rule:

z - score = (raw - score minus mean) / standard deviation.

z1 = (165-176)/5 = -2.2

z2 = (186-176)/5 = 2

The empirical rule tells us that about 95% of all values are within standard deviations of the mean.

So, 95% of men are between 165 cm and 186 cm.

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Select the correct answer from each drop-down menu. The options are: The ratio of the heights is 1 : 2.5 1 : 5 1 : 10 1 : 25 The ratio of the surface areas is 1 : 5 1 : 10 1 : 25 1 : 125 The ratio of the volumes is 1 : 5 1 : 10 1 : 25 1 : 125.

Answers

Using proportions, it is found that:

The ratio of heights is of 1:5.The ratio of surface areas is of 1:25.The ratio of volumes is of 1:125.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The heights are measured in units, hence the ratio is:

[tex]r = \frac{5}{25} = \frac{1}{5}[/tex]

The surface areas are measured in units squared, hence the ratio is:

(1:5)² = 1:25.

The volumes are measured in cubic units, hence the ratio is:

(1:5)³ = 1:125.

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Check the box labeled Show Segment Parallel to BC. Notice that intersects two sides of creating a smaller triangle, . How is related to ? How do you know?

Answers

Can i see an image of this problem

!!HELP! 1-8 PLEASE ANSWERS ONLY PLEASE

Answers

Distributive Property :

[tex]\boxed {a(bx + c) = a(bx) + a(c)}[/tex] or

[tex]\boxed {(ax + b)(cx + d) = acx^{2} + bcx + adx + bd}[/tex]

Question 1 :

6(4v + 1)6(4v) + 6(1)24v + 6

Question 2 :

5(8r² - r + 6)5(8r²) - 5(r) + 5(6)40r² - 5r + 30

Question 3 :

(2x - 2)(7x - 4)2x(7x) - 2(7x) - 2x(4) - 2(-4)14x² - 14x - 8x + 814x² - 22x + 8

Question 4 :

(6a - 7)(3a - 8)(6a)(3a) - 7(3a) + (6a)(-8) - 7(-8)18a² - 21a - 48a + 5618a² - 69a + 56

A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.

What is the value of y when the value of x is 1?

Answers

The constant of proportionality is 6.

How to calculate the constant?

From the information given, the constant will be:

30 meals ÷ 5 days = 6

60 meals ÷ 10 days = 6

90 meals ÷ 15 days = 6

120 meals ÷ 20 days = 6

The constant of proportionality is 6. Therefore, the function will be:

y = kx

y = 6x

The value of y when x is 1 will be:

y = kx

y = 6 × 1 = 6

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Answer:

what they said

Step-by-step explanation:

A 28-metrelong guy wire is attched to a point 24 m up the side of a tower. How far from the base of the tower is the guy wire attached

Answers

The distance between the guy and the wire attached is 14.42m

Pythagoras theorem

The square of the longest side is equal to the sum of the square of other two sides.

In order to determine the length of base of the tower, we will use the expression below:

b² = 28² - 24²

b² = 208

b = 14.42

Hence the distance between the guy and the wire attached is 14.42m

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Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?
(–4, –4), (–4, –1), (–1, –4), (–1, –1)
(–2, –4), (–1, –1), (1, –1), (2, –4)
(1, 1), (2, 4), (5, 4), (4, 1)
(1, 4), (2, 1), (5, 1), (4, 4)

Answers

The endpoints of the sides of the quadrilateral are; (1, 4), (2, 1), (5, 1), (4, 4)

How to calculate the slope of sides of a quadrilateral?

To get the endpoints of the quadrilateral that has 2 sides with negative slope, we will use the formula for slope;

m = (y2 - y1)/(x2 - x1)

Option A; Coordinates are (–4, –4), (–4, –1), (–1, –4), (–1, –1). Slopes are;

m1 = (-1 + 4)/(-4 + 4) = undefined

m2 = (-4 + 1)/(-1 + 4) = -1

m3 = (-1 + 4)/(-1 + 1) = undefined

m4 = (-4 + 1)/(-4 + 1) = 1

No two slopes are negative and this is not correct.

Option B; Coordinates are (–2, –4), (–1, –1), (1, –1), (2, –4). Slopes are;

m1 = (-1 + 4)/(-1 + 2) = 3

m2 = (-1 + 1)/(1 + 1) = 0

m3 = (-4 + 1)/(2 - 1) = -3

m4 = (-4 + 4)/(-2 - 2) = 0

No two slopes are negative and this is not correct.

Option C; Coordinates are (1, 1), (2, 4), (5, 4), (4, 1). Slopes are;

m1 = (4 - 1)/(2 - 1) = 3

m2 = (4 - 4)/(5 - 2) = 0

m3 = (1 - 4)/(4 - 5) = 3

m4 = (1 - 1)/(1 - 4) = 0

No two slopes are negative and this is not correct.

Option D; Coordinates are (1, 4), (2, 1), (5, 1), (4, 4). Slopes are;

m1 = (1 - 4)/(2 - 1) = -3

m2 = (1 - 1)/(5 - 2) = -0

m3 = (4 - 1)/(4 - 5) = -3

m4 = (4 - 4)/(1 - 4) = -0

Two slopes are negative and this is correct.

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Which of the following functions has an initial value of -1/2 and a rate of change of 0?

A.
2
x
B. y=−12x
y
=

1
2
x
C. y=−12x
y
=

1
2
x
D. y=−12

Answers

The function that has the given initial value and rate of change is: D. y = -1/2.

What is the Initial Value and Rate of Change of a Function?

A function is given as, y = mx + b, where, m is the rate of change, and b, which is a constant is the initial value.

Given the following:

b = -1/2

m = 0

Plug in the values into y = mx + b

y = 0(x) + (-1/2)

y = -1/2

Therefore, the function is: D. y = -1/2.

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The sum of two integers is 250.If one of them is -87,find the others integers​

Answers

the answer is:
-87+x=250
+87. +87
x=337

About % of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9 and z = 0.9 z = 0.9 (or within 0.9 standard deviations of the mean).

Answers

Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The area within 0.9 standard deviations of the mean is the p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841), hence:

0.8159 - 0.1841 = 0.6318 = 63.18%.

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please no scam please answer ASAP 30 points need steps​

Answers

QUE :

75 - [5 + 3 of (25 - 2 × 10)]

= 75 - [5 + 3 of ( 25 - 20)]

= 75 - [5 + 3 of 5]

= 75 - [5 + 15]

= 75 - 20

= 55

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The graph of the discrete probability to the right represents
the number of live births by a mother 40 to 44 years old
who had a live birth in 2015. Complete parts (a) through (d)
below.

0.30-
0.25-
0.20
0.15
0.10
0.05
0.00
0
0.235
1
0.270
2
0784
113 0101
-4426-0004 0.045
3
6
Number of Live Births
(a) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth live birth in that year?
(Type an integer or a decimal)
(b) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year?
(Type an integer or a decimal.)
(c) What is the probability that a randomly selected 40- to 44-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year?
(Type an integer or a decimal)
(d) If a 40-to 44-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect the mother to have had?

Answers

The values of the probabilities are

The probabilities are 0.109, 0.202, 0.106The expected number of births is 3

How to determine the probabilities?

The image that completes the question is added as an attachment

The probability of having her fourth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

Hence, the probability is 0.109

The probability of having a live birth in her fourth or fifth live birth in that year?

From the attached graph, we have:

P(x) = 0.109 when x = 4

P(x) = 0.093 when x = 5

So, we have:

P(4 or 5) = 0.109 + 0.093

Evaluate

P(4 or 5) = 0.202

Hence, the probability is 0.202

The probability of having a live birth in her sixth or more live birth in that year?

This is represented as:

P(x >= 6)

From the attached graph, we have:

P(x) = 0.022 when x = 6

P(x) = 0.036 when x = 7

P(x) = 0.048 when x = 8

So, we have:

P(x >= 6) = 0.022 + 0.036 + 0.048

Evaluate

P(x >= 6) = 0.106

Hence, the probability is 0.106

How many live births would you expect the mother to have had?

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = 0.234 * 1 + 0.291 * 2 + 0.167 * 3 + 0.109 * 4 + 0.093 * 5 + 0.022 * 6 + 0.036 * 7 + 0.048 * 8

Evaluate

E(x) = 2.986

Approximate

E(x) = 3

Hence, the expected number of births is 3

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A total of $5000 is invested: part at 7% and the remainder at 12%. How much is invested at each rate if the annual interest is $400?

Answers

The amount invested in the account that yields 7% interest is $4000.

The amount invested in the account that yields 12% interest is $1000.

What are the linear equations that represent the question?

a + b = 5000 equation 1

0.07a + 0.12b = 400 equation 2

Where:

a = amount invested in the account that yields 7% interest.

b =  amount invested in the account that yields 12% interest.

How much is invested at each rate?

Multiply equation 1 by 0.07

0.07a + 0.07b = 350 equation 3

Subtract equation 3 from equation 2

0.05b = 50

b = 50 / 0.05

b = 1000

Subtract 1000 from 5000: 5000 - 1000 = 4000

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The 1993 Chinese good luck poster, showing traditional gods offering good luck to people, demonstrates that by the 1990s Chinese communist leaders. A group of 16 men and 24 women have hypertension. Express the ratio of men with hypertension to women with hypertension. Reduce the ratio to its simplest form. (8:12; 4:6; 2:3; 16:22) why do people overestimate the leaders influence on organizational outcomes breast milk is the choice food for infants because nutrients are in the correct proportion for human growth.T/F FeedbackIncorrect1 try left. Try once moreThe table shows the number of each type of snack bag that was sold this month at lunch. Snack BagNumber SoldCheese Curls250Popcorn125Potato Chips340Pretzels85The school makes $0. 75 profit on each bag sold and expects to sell 1,200 bags next month. Based on last months results, how much profit can the school expect to make on potato chips next month?$__ select all the statements that correctly describe the equilibrium constant kc for a general chemical change represented by the equation given below. aa (aq) bb (aq) cc (aq) dd (aq) You are testing H0: = 100 against Ha: < 100 based on an SRS of 9 observations from a Normal population. The data give x = 98 and s = 3. The value of the t statistic is-2.-98.-6. Members of a lacrosse team raised $1672.50 to go to a tournament. They rented a bus for $1068.50 and budgeted $37.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament. What possible reasons would a CPA firm charge a new client a fee that is lower than the estimated cost of a first-year audit?Audit Fee:Audit fee means the fees charged by the auditor for performing the audit services for a client. The auditor charges this fee based on certain factors such as the complexity of the services to be performed, the expertise required to carry out the services, etc. Altham (1978) introduced the discrete distribution f(x;7, 0) = c(7,0) (%) **(1 11)-xgxn-x), *= 0,1..., n, = where cart, 0) is a normalizing constant. Show that this is in the two-parameter exponential family and that the binomial occurs when 0 = 1. (Altham noted that overdispersion occurs when 0 < 1. Lindsey and Altham (1998) used this as the basis of an alternative model to the beta-binomial.) according to research by baltes and associates, in which decade is the growth of wisdom likely to be greatest? many speakers try to cover too much material in a single presentation, which may be a result of their failure to effectively consider the occasion.T/F 3.Explain how a feminist or gender activist would react to Coka's reference to the role of men in the growth of African nationalism? What are sets of interacting components working within an environment to fulfill some purpose? Solve for x. the polygons in each pair are similar Solve each of these congruences using the modular in-verses found in parts (b), (c), and (d) of Exercise 5.a) 19x4 (mod 141)b) 55x 34 (mod 89)c) 89x 2 (mod 232) explain why the mr curve lies below the demand curve for a single-price monopolist. Pileated Woodpeckers (Dryocopus pileatus) excavate large ( >45 cm ) cavities in trees that they use for nests and roosts. Wood Ducks (Aix spons) also build nests in suitable tree holes, but cannot excavate their own cavities. Consequently, they frequently use nests of Pileated Woodpeckers. Based on this information, which of the following statements is correct? Wood Ducks are ecosystem engineers because they nest in cavities built by woodpeckers. Pileated Woodpeckers are ecosystem engineers because they excavate tree cavities that Wood Ducks use to build their nests. Pileated Woodpeckers are ecosystem engineers because they excavate tree cavities to build their own nests. Neither species is an ecosystem engineer by virtue of their nesting habit. The Warsaw Pact was developed in 1955 as a response to theA formation of the North Atlantic Treaty Organization.B start of the communist revolution in Cuba.C U.S. development of the hydrogen bomb.D UN intervention in Korea. PENSION FUNDS The managers of a pension fund have invested $1. 5 million in U. S. Government certificates of deposit (CDs) that pay interest at the rate of 2. 5%year compounded semiannually over a period of 10 years. At the end of this period, how much will the investment be worth?