Grandpa's age is 6 yrs less than 6 times junior's age. The sum of their age is 78. find each of their ages?

Answers

Answer 1
Juniors age would be 12 for this one.
Answer 2
Grandpa is 66 and Junior is 12

6 x 12 = 72
72 - 6 = 66
66 + 12 = 78

Related Questions

factored form of 25x^2+40x+16

Answers

I hope this helps you

use the concept of slope to find t such that three points are collinear
(-3,3) (t,-1) (8,6)

Answers

let be A(-3,3), B(t,-1), and C(8,6), three points are collinear means the vector vecAB and vecAC or vecAB and vecBC are collinear
for example
AB and AC are collinear,equivalent of det(vecAB, vecAC )=0
vecAB =(t+3, -4) and vecAC = (11, 3)
det(vecAB, vecAC )=3(t+3) +11(4)=3t+9 +44=0, it implies t= - 53/3
so t = - 53/3

1.5x-2<10 how do you solve this

Answers

5x - 2 < 10
+ 2
5x < 12
÷ 5
x < 2.4
Hope this helped!

The distance from the school to Brandi's house is 1,240 meters. Leaving the school, she rides her bicycle for 60 seconds at a speed of 5 meters per second. If Brandi continues cycling at this speed, how many more seconds will it take her to arrive at her house?

Answers

Final answer:

Brandi rides her bike at a speed of 5 m/s from school to her house. She will take an additional 188 seconds to cover the remaining distance of 940 meters to arrive at her house.

Explanation:

Brandi's situation:

Distance to house: 1,240 metersSpeed leaving school: 5 m/sTime taken initially: 60 seconds

To find: Additional time needed to reach house.

Calculations:

Time taken initially: 60 secondsRemaining distance: 1,240 - (60*5) = 940 metersTime to cover the remaining distance: 940 / 5 = 188 secondsTotal time: 60 + 188 = 248 seconds

Jordan keeps track of rainy days for 1 year . This year he counted 52 weeks in a year with at least I rainy day. How many weeks had no rainy days.

Answers

there are 52 weeks in a year so if 52 had at least I rainy day then 0 weeks would have no rainy days

Answer:

A.

Step-by-step explanation:

n a division problem, the divisor is twenty times the quotient and five times the remainder. If remainder is 16, the number will be:
Option 1 : 3360 Option 2 : 336 Option 3 : 1616 Option 4 : 20516

Answers

The reminder:  r = 16
The divisor:  d = 16 * 5 = 80
The quotient :  q = 80 : 20 = 4
N = d q + r
N = 80 * 4 + 16
N = 320 + 16 = 336
Verification:  336 : 80 = 4  ( r =16 )
Answer:
Option 2 : 336

What is to find an approximate value for a number is called? any words starting with the letter 'r'?

Answers

rounding ? The approximate value of 5.8 = 6...see how I rounded. Possibly ...it starts with an r

Point G is the centroid of triangle abc use the information to find the value of x.


1. GC=3x +7 and CE= 6x

2. FG= x +8 and AF = 9x - 6

3. Bg=5x -1 and DG = 4x -5

Answers

The value of x is 7/6.

To find the value of x, we can utilize the given information about the lengths of the medians and segments within triangle ABC.

Using medians CE and GC:

Since G is the centroid of triangle ABC, it divides each median into two segments in a ratio of 2:1. Therefore, we can set up two equations based on the given lengths:

CE = 2/3 * GC

6x = 2/3 * (3x + 7)

Solving for x, we get:

6x = 2x + 14/3

4x = 14/3

x = 7/6

Using medians BG and FG:

Similarly, we can set up two equations based on the given lengths of medians BG and FG:

FG = 2/3 * BG

x + 8 = 2/3 * (5x - 1)

Solving for x, we get:

x + 8 = 10x/3 - 2/3

8/3 = 9x/3

x = 8/9

Using medians DG and AG:

Following the same approach, we can set up two equations based on the given lengths of medians DG and AG:

AG = 2/3 * DG

9x - 6 = 2/3 * (4x - 5)

Solving for x, we get:

9x - 6 = 8x/3 - 10/3

x - 6 = 8x/3 - 10/3

-5 = 5x/3

x = -3

Comparing the values obtained from each set of equations, we find that x = 7/6 is consistent across all three sets. Therefore, the value of x is 7/6.

how many numbers are between 100 and 200?

Answers

100 numbers are between 100 and 200
100 because you said numbers and nothing about fractions or anything but with the fractions included it would be too big

If n is a positive integer, then lim (n-->infinity) (1/n) [1/(1+(1/n)) + 1/(1+(2/n))+...+1/(1+(n/n)] is?
the above can be expressed as
a.) integral from 0 to 1 of (1/x) dx
b.) integral from 1 to 2 of (1/(x+1))dx
c.) integral from 1 to 2 of (x)dx
d.) integral from 1 to 2 of (2/(x+1))
e.) integral from 1 to 2 of (1/x)

Answers

Final answer:

The given sequence is in the form of a Riemann sum for the integral of the function 1/(1+x) from 1 to 2. So, the correct answer is b) 'integral from 1 to 2 of (1/(x+1)) dx'.

Explanation:

The sequence in the question seems to be in the form of a Riemann sum for an integral. The term inside the summation loop can be expressed as 1/(1+i/n) where i varies from 1 to n. The limit of the sequence as n tends to infinity can be thus represented as the integral from 0 to 1 of the function 1/(1+x) dx. The function 1/(1+x) is a continuous function over the interval [0,1], so the integral exists and the limit of the sequence is legitimately defined.

Therefore, looking in the options provided, the answer to your question will be 'b.) integral from 1 to 2 of (1/(x+1)) dx'. This integral is the limit of the given series as n approaches infinity.

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Final answer:

The limit as 'n' approaches infinity of this summation is equal to the integral from 1 to 2 of (1/(x+1))dx. Essentially, this question is turning the sum into an integral as 'n' approaches infinity.

Explanation:

This question is asking for the limit of a sum as n approaches infinity, which is essentially the definition of an integral. Every term in the sum could be expressed as 1/(1+i/n), where 'i' is the sum index. Each term, when 'n' becomes infinitely large, becomes a term of the form i/n, or Δx, which is a small piece of the variable we’re integrating. Similarly, each 1/(1+i/n) term turns into 1/x for that small piece.

Given these transformations and the fact that the index i ranges from 1 to n, it's clear that as n approaches infinity, we are integrating the function 1/x from 1 to 2.

Thus, the correct answer would be: b.) integral from 1 to 2 of (1/(x+1))dx

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Express each fraction as a percent .round to the nearest whole number 178 over 450

Answers

40%

You can divide 178 by 450 which gets you 0.395556. Then you multiply by 100 to get percent which is 39.56% and you round up to the nearest whole number which is 40%

Which of the sets of ordered pairs represents a function?

A = {(−4, 5), (1, −1), (2, −2), (2, 3)}

B = {(2, 2), (3, −2), (9, 3), (9, −3)}

1. Only A
2. Only B
3. Both A and B
4. Neither A nor B

Answers

A function WILL NOT have any repeating x values. They can have repeating y values, just not the x ones. So just look at the x values.

so look at x values in  A.....are there any repeating x values ? Yes there is....there are repeating 2's...therefore, A is not a function.

now look at the x values in B...are there any repeating x values ? yes there is....there are repeating 9's....so B is not a function.

so neither A or B are functions


There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation represent a linear or nonlinear function? Explain why.

Answers

A Linear function because the slope is constant.
If dollars represents the "y value" and quarters the "x value"
Then slope = rise/run = 1/4

[tex]y = \frac{1}{4} x [/tex]

The situation represents the linear function.

Given that,

There are 4 quarters in one dollar. The total no of dollars represents the function of the no of the quarter.

Based on the above information, we can say that

When dollar presents y value and the quarter presents x value

So, the slope should be [tex]\frac{1}{4}[/tex]

The linear function should be [tex]y = \frac{1}{4}x[/tex]

Therefore we can conclude that the situation represents the linear function.

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Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3). Explain how you arrived at your answer.

Answers

I think this attachment will help you

The product of the given trinomials will have a degree of 4, and since there are 9 terms, the maximum possible number of terms for the product is 9.egree of 4 and a maximum possible number of terms of 9.

When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the two polynomials being multiplied.

In this case, both trinomials have a degree of 2.

The maximum possible number of terms in the product of two polynomials is the product of the number of terms in each polynomial.

For the first trinomial, there are 3 terms, and for the second trinomial, there are also 3 terms.

Multiplying these together gives a maximum possible number of terms of 9.

To arrive at this conclusion, you can use the distributive property, where each term in the first trinomial is multiplied by each term in the second trinomial, resulting in a total of 9 possible term combinations.

Therefore, the product of the two trinomials will have a dTo multiply two trinomials, like [tex]\( (x^2 + x + 2)(x^2 - 2x + 3) \)[/tex], you apply the distributive property repeatedly, multiplying each term in the first trinomial by each term in the second trinomial and then summing up the products.

Each term in the first trinomial needs to be multiplied by each term in the second trinomial, resulting in a total of [tex]\( 3 \times 3 = 9 \)[/tex] products.

Now, regarding the degree, when you multiply two polynomials, you add the degrees of the polynomials.

Here, both polynomials are of degree 2, so the resulting polynomial will be of degree 2 + 2 = 4.

Thus, the product of the given trinomials will have a degree of 4, and since there are 9 terms, the maximum possible number of terms for the product is 9.egree of 4 and a maximum possible number of terms of 9.

What is the result when -2.5 is divided by 1.8?

Answers

[tex]- \frac{25}{10} [/tex]÷[tex] \frac{18}{10} [/tex]
[tex]= \frac{25}{10} * \frac{10}{18} = \frac{25}{18} =1 \frac{7}{18} [/tex]
Which is ≈ [tex]1.389[/tex]

Which type of triangle is RST?

a. equilateral
b. isosceles
c. scalene
d. right
9. Write an equation of the line that contains the median of traingle RST from S to RT .

a. x + 2 y = -10
b. x + 2 y = 6
c. x + 2 y = 8
d. x + 2 y = 10
10. Write the equation of the line that contains the altitude of triangle RST from T to RS .

a. 2x - 3y = -13
b. 3 x -2 y = -2
c. 2 x + 3 y = 29
d. 3 x + 2 y = 26

Answers

C. because all the other ones do not make since

5.1(x 2)=1.02 how do i solve it

Answers

I hope this helps you

The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay, or for the quantity to fall to half its original amount. Carbon 14 has a half-life of 5,730 years. Suppose given samples of carbon 14 weigh (fraction 5/8) of a pound and (fraction 7/8) of a pound. What was the total weight of the samples 11460 years ago
(show work please)

Answers

That's two half lives. 5/8 * 2 * 2 = 20/8 = 5/2 pounds7/8 * 2 * 2 = 28/8 = 7/2 pounds

Answer:

Amount of C-14 taken were 2.5 pounds and 3.5 pounds respectively.

Step-by-step explanation:

Radioactive decay is an exponential process represented by

[tex]A_{t}=A_{0}e^{-kt}[/tex]

where [tex]A_{t}[/tex] = Amount of the radioactive element after t years

[tex]A_{0}[/tex] = Initial amount

k = Decay constant

t = time in years

Half life period of Carbon-14 is 5730 years.

[tex]\frac{A_{0} }{2}=A_{0}e^{-5730k}[/tex]

[tex]\frac{1}{2}=e^{-5730k}[/tex]

Now we take ln (Natural log) on both the sides

[tex]ln(\frac{1}{2})=ln[e^{-5730k}][/tex]

-ln(2) = -5730kln(e)

0.69315 = 5730k

[tex]k=\frac{0.69315}{5730}[/tex]

[tex]k=1.21\times 10^{-4}[/tex]

Now we have to calculate the weight of samples of C-14 taken for the remaining quantities [tex]\frac{5}{8}[/tex] and [tex]\frac{7}{8}[/tex] of a pound.

[tex]\frac{5}{8}=A_{0}e^{(-1.21\times 10^{-4}\times 11460)}[/tex]

[tex]\frac{5}{8}=A_{0}e^{(-1.21\times 10^{-4}\times 11460)}[/tex]

[tex]\frac{5}{8}=A_{0}e^{(-1.3863)}[/tex]

[tex]A_{0}=\frac{5}{8}\times e^{1.3863}[/tex]

[tex]A_{0}=\frac{5}{8}\times 4[/tex]

[tex]A_{0}=\frac{5}{2}[/tex]

[tex]A_{0}=2.5[/tex] pounds

Similarly for [tex]\frac{7}{8}[/tex] pounds

[tex]\frac{7}{8}=A_{0}e^{(-1.21\times 10^{-4}\times 11460)}[/tex]

[tex]\frac{7}{8}=A_{0}e^{(-1.21\times 10^{-4}\times 11460)}[/tex]

[tex]\frac{7}{8}=A_{0}e^{(-1.3863)}[/tex]

[tex]A_{0}=\frac{7}{8}\times e^{(1.3863)}[/tex]

[tex]A_{0}=\frac{7}{8}\times 4[/tex]

[tex]A_{0}=\frac{7}{2}[/tex]

[tex]A_{0}=3.5[/tex] pounds

1. Julia deposited $250 in a savings account that earns 2.7% simple interest. How much interest has Julia earned by the end of the first year?
$6.75
$92.59
$256.75
$675.00
2. Armand deposited $389.42 in a savings account that earns 3.2% simple interest. What is Armand’s account balance after seven years?
$87.23
$401.88
$476.65
$872.30

3. Andy deposited $1,567.12 in a savings account that earns 1.9% simple interest. What will Andy’s account balance be in nine months?
$1,567.12
$1,589.45
$1,596.90
$1,835.10

Answers

1. $675
2. $389.42 (3.2)^7
3. 1567.12(1.9)^9/12

Answer:

Step-by-step explanation:

Simple interest formula is : [tex]p\times r\times t[/tex]

t is always in years here.

1.

p = 250

r = 2.7% or 0.027

t = 1

Simple interest earned = [tex]250\times0.027\times1[/tex] = $6.75

2.

p = 389.42

r = 3.2% or 0.032

t = 7

Simple interest earned = [tex]389.42\times0.032\times7[/tex] = $87.23

Amount after 7 years will be = [tex]389.42+87.23[/tex] = $476.65

3.

p = 1567.12

r = 1.9% or 0.019

t = [tex]9/12=0.75[/tex]

Simple interest earned = [tex]1567.12\times0.019\times0.75[/tex] = $22.33

Account balance after 9 months = [tex]1567.12+22.33[/tex] = $1589.45

Find all points of extrema on the interval [0,2pi] if y=x-cosx ...?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the answer:

dy/dx = 1 + sin(x) 

Setting this equal to zero: 

sin(x) + 1 = 0 
==> sin(x) = -1 

This has solution x = 3π/2 only.

The function y=x-cosx has an extremum on the interval [0,2pi] at x=3pi/2, determined by setting the first derivative equal to zero. The second derivative test is inconclusive at this point, but the point (3pi/2, 3pi/2) is a minimum due to the nature of the function.

To find all points of extrema on the interval [0,2pi] for the function y=x-cosx, we first need to find the derivative of the function and determine where it is equal to zero. The first derivative of y=x-cosx is y' = 1 + sinx. The critical points occur where y' = 0, which translates to 1 + sinx = 0 or sinx = -1. The only point in the interval [0,2pi] where sinx = -1 is at x = 3pi/2. To determine if this critical point is a maximum or minimum, we apply the second derivative test.

The second derivative of the function is y'' = cosx. At x = 3pi/2, the second derivative y'' = cos(3pi/2) = 0; since the second derivative is zero, the second derivative test is inconclusive. However, we can analyze the function around the critical point to conclude or use other methods like analyzing the first derivative's sign change.

For y=x-cosx, since the original function is a combination of a linear increasing function and cosine function, the critical point at x = 3pi/2 will be a minimum as the function increases both before and after this point.

Therefore, the point of extrema on the interval [0,2pi] for the function y=x-cosx are at (3pi/2, 3pi/2 - cos(3pi/2)), which simplifies to (3pi/2, 3pi/2).

Factor and simplify: 4a^2c^2(a^2-b^2+c^2)^2

Answers

4a^2c^2(a^2-b^2+c^2)^2 First, solve the exponent around the quantity. Being that it's a power of a power, you would multiply all the exponents inside the parentheses by two. So, after that, it would be: 4a^2c^2(a^4-b^4+c^4) Then, you would multiply what's outside the parentheses with every term within the parentheses: (4a^6c^2)-(4a^2c^2b^4)+(4a^2c^6) Now, you think you can take it from here, or do you need me to keep going?

Factor each polynomial (1)64-40ab

Answers

64-40ab
=8(8-5ab)
....................................

Factor completely 50a2b5 – 35a4b3 + 5a3b4
Answer
10b2 – 7a2 + ab
a2b3(50b2 – 35a2 + 5ab)
5(10a2b5 – 7a4b3 + a3b4)
5a2b3(10b2 – 7a2 + ab)
...?

Answers

Answer:

The factored form of the given expression is [tex]5a^2b^3(10b^2-7a^2+ab)[/tex]

Step-by-step explanation:

We have been given the expression [tex]50a^2b^5-35a^4b^3+5a^3b^4[/tex]

In order to factor it completely we can check for the GCF (greatest common factor) among all the three terms

The GCF is [tex]5a^2b^3[/tex]

On factor out the GCF, we are left with

[tex]5a^2b^3(10b^2-7a^2+ab)[/tex]

Therefore, the factored form of the given expression is [tex]5a^2b^3(10b^2-7a^2+ab)[/tex]

Answer:

given expression is [tex]5a^{2} b^{3} (10b^{2}-7a^{2} +ab)[/tex]

Step-by-step explanation:

Find all real values of x, such that f(x)=0.
f(x)=15-3x ...?

Answers

[tex]f(x)=15-3x \\f(x)=0 \\0=15-3x \\3x=15 \\x=5[/tex]

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

5x^2 + 5y^2 + 10x − y = 0

Answers

5x^2 + 5y^2 + 10x − y = 0 it is the same of
x^2 + y^2 + 2x −1/5y = 0
and then
(x + 1)^2 - 1+  (y−1/10)^2  -1/100=0
 (x + 1)^2 +  (y −1/10)^2  =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10
Final answer:

The equation 5x^2 + 5y^2 + 10x - y = 0 represents a circle. By completing the square, the equation is rewritten in the standard form as (x + 1)^2 + (y - 1/10)^2 = 101/100. The circle's center is at (-1, 1/10) with a radius of approximately 1.005.

Explanation:

To show that the equation 5x^2 + 5y^2 + 10x - y = 0 represents a circle and to rewrite it in standard form, we can complete the square for both x and y terms. First, factor out the coefficients of the squared terms:

5(x^2 + 2x) + 5(y^2 - 1/5y) = 0

Divide both sides by 5 to simplify the equation:

(x^2 + 2x) + (y^2 - 1/5y) = 0

Now, complete the square by adding and subtracting the necessary constants inside each parenthesis:

(x^2 + 2x + 1) - 1 + (y^2 - 1/5y + 1/100) - 1/100 = 0

By completing the square, the equation becomes:

(x + 1)^2 + (y - 1/10)^2 = 1 + 1/100

This can be further simplified to:

(x + 1)^2 + (y - 1/10)^2 = 101/100

The standard form of the equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius of the circle. Therefore, our circle's center is at (-1, 1/10) and its radius is the square root of 101/100, which simplifies to 10.05/10 or approximately 1.005.

Understanding this proof for the proposition "For all integers a, gcd(9a+4, 2a+1) = 1.

Proof: gcd(9a+4, 2a+1) = gcd(2a+1, a) = gcd(a, 1). Since gcd(a, 1)=1, gcd(9a+4, 2a+1) =1.

Answers

First line because 4(2a+1)=8a+4 and 9a+4-(8a+4)= a


Second line because a times 2 =2a and 2a+1-2a=1


Although the second equality is more or less obvious since 2a+1 leaves a remainder of 1 when divided by a.

Hydra are small freshwater animals. They can double in number every two days. Suppose there is an initial population of 60 hydra, when will there be more than 5000 hydra?

Answers

in about 168 days !!!!!!!!!!!!!

What other information is needed to prove that the two triangles congruent by SAS?
Picture description: there are two triangles showing line LT = line MQ and L=M
A. B. C. Line GT = line NQ <<
D. Line LG = line MN

What other information is needed to prove the two triangles congruent by SAS? Pick 2.
A. S = U<<
B. T = V
C. S = V
D. T = U
E. Line RS = line WU<<<
F. line RT = line VU

Answers

Answer:

D. LG = MN

Step-by-step explanation:

Final answer:

To prove two triangles congruent by SAS, we require equality of two sides and the included angle. Given line LT = line MQ and angle L = angle M, we also need line GT = line NQ and line LG = line MN. For the second part, line RS = line WU and line RT = line VU are necessary to fulfill SAS criteria.(Options C and D for first and Option E and F for second)

Explanation:

When proving two triangles are congruent using the Side-Angle-Side (SAS) postulate, you need to know that two sides and the included angle (the angle between the two sides) of one triangle are exactly equal to two sides and the included angle of another triangle.

In the given problem, we're told that line LT is congruent to line MQ and angle L is congruent to angle M. The additional information needed to prove triangle congruence by SAS would be to show that the second pair of sides around the included angle are also congruent (as in option C Line GT = line NQ) and to ensure congruence on the corresponding parts of the other triangle (as in option D Line LG = line MN).

Answering the second part, to prove congruence by SAS, we would need two corresponding sides and the included angle. Therefore, the correct choices are option E Line RS = line WU which provides the second side, and option F line RT = line VU ensures the sides are corresponding in the two triangles, enclosing the angle which is already given as equal.

In a family with eight children, what is the probability that exactly six are boys? a. 7168 b. 28 c. 0.109375 d. 0.015625

Answers

Let's count this through. The probability of the first is 1/2, the second is another 1/2, so a total of 1/4. The third, 1/2, with a total of 1/8. Continue this with the rest of the 6 boys. You now have a probability of 1/64. This is the fourth solution, or d. 0.015625.

d. 0.015625.

The probability that exactly six children in the family are boys is 0.015625.

What is Combination?

An arrangement of objects where the order in which the objects are selected does not matter.

The probability of having exactly six boys in a family with eight children can be calculated using the binomial distribution formula:

[tex]P(X = k) =^nC_{k} p^k(1-p)^(^n^-^k^)[/tex]

P(X = k) is the probability of having exactly k boys, n is the total number of children,  k is the number of boys we want to find , p is the probability of having a boy and  (1-p) is the probability of having a girl (also 1/2 in this case)

Substituting the values into the formula, we get:

P(X = 6) = ⁸C₆ (1/2)⁶ (1/2)⁸⁻⁶

= (8! / (6! ×2!)) (1/2)⁸

= (87/21) × (1/2)^8

= 0.015625

Therefore, the probability that exactly six children in the family are boys is 0.015625.

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Choose the equation of the vertical line passing through the point (-4, 2). i picked x = -4.. ...?

Answers

Yes that is right
x=-4
is a vertical line passing through the points (-4,y)
where y can be any value
Other Questions
Plz Help fast!! 25 points. Which equation correctly applies the distributive property?A. 2.4(3.4)(1.25)=3.42.4(1.25)B. 3(6.48)=(36)+(30.4)+(30.08)C. (423.5)+(421.3)+(425.2)=42+(3.5+1.3+5.2) or D. 2.5(43.67)=(2.54)3.67 What is the angle supplementary to the angle measuring 165? Editorials are a type of essay found in newspaper ? True or False ? Select the entire absolute phrase in the sentencewhen i got home late, my mother stood waiting for me, her arms folded across her chest Literary scholars suggest that the realistic dialect and humor used by my characters in addition to the many proverbs I coined helped America find its national voiceOptions areA. Emily Dickinson B.sarah Orne Jewett C.mark twain D. ambrose BierceE.kate Chopin Explain the connections between democracy and the free enterprise system. which process results in the production of ammonium? What mathematical relationship exists between human population and time After a hard rain, water flows faster in a local creek. This washes away a lot of sediment, making the creek a little deeper. Which of the following geologic features was formed in a similar way? A. the Hawaiian Islands B. the Grand Canyon C. the Rocky Mountains the higher value of your (blank) the more eligible you are for jobs in demand, which will provide you with higher income and increase your ability to affect the consumer market.A. CompetitionB. Human capitalC. Physical capitalD. Opportunity cost What can you infer that the author's purpose may be from the following title?Babysitter's Guide to Running a BusinessA. informB. entertainC. persuade How's did the headright system encourage colonists to move to Jamestown ? Which of the following images from the excerpt indicates an exhilarated mood?I. She played it quick, she played it light and loose;II. My eyes, they dazzled at her flowing knees;III. (She moved in circles, and those circles moved). I only II only I and III I, II, and III Which of the following statements about polls is not a factual statement?Polls help the people to make judgments about the president.Polls help the president to shape policy.Polls are always accurate and non-biased.Polls help the media to spot problems in the new administration. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.7, -11, and 2 + 6i f(x) = x4 - 53x2 + 468x - 3080 f(x) = x4 - 9x3 - 42x2 + 234x - 3080 f(x) = x4 - 117x2 + 468x - 3080 f(x) = x4 - 9x3 + 42x2 - 234x + 3080 a.Two friends share 76 blueberriesTo count the blueberries,they can put them into small bowls of 10 blueberries.Draw a picture to show how the blueberries can be shared equally.Will they have to split apart any of the bowls of 10 bluberries when they share them? When mrs. myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. this means that 95% of her students scored between which two scores? 3500 calories for 6 servings of pie ----------- calories per serving Which factors do you think are more to blame for obesity: individual actions or social factors like food marketing? Why? Summarize the distribution of earthquakes on Earth Steam Workshop Downloader