Add and subtract square roots that need simplification Number 186

Answers

Answer 1

Hello!

To solve this exercise, we must simplify these square roots until we have the same square root in both numbers (by the factorization process):

[tex]3\sqrt{98}-\sqrt{128}[/tex]

First, let's factorize the square root of 98:

So, we know that:

[tex]\begin{gathered} 3\sqrt{98}=3\sqrt{7^2\times2}=3\sqrt[\cancel{2}]{7\cancel{^2}\times2}=3\times7\sqrt{2}=21\sqrt{2} \\ \\ 3\sqrt{98}=21\sqrt{2} \end{gathered}[/tex]

Now, let's do the same with the square root of 128:

So:

[tex]\sqrt{128}=\sqrt{2^2\times2^2\times2^2\times2}^1[/tex]

Notice that it also could be written as:

[tex]\begin{gathered} \sqrt{128}=\sqrt{2\times2\times2\times2\times2\times2\times2} \\ \text{ or also} \\ \sqrt{128}=\sqrt{2^7} \end{gathered}[/tex]

As we are talking about square roots, it will be easier if we group them in pairs of powers of 2, as I did:

[tex]\sqrt[2]{128}=\sqrt[2]{2^2\times2^2\times2^2\times2^1}[/tex]Now, let's analyze it:

If the number inside the root has exponent 2, we can cancel this exponent and remove the number inside the root. Then, we can write it outside of the root, look:

[tex]\begin{gathered} \sqrt[2]{128}=\sqrt[2]{2^{\cancel{2}}\times2^{\cancel{2}}\times2^{\cancel{2}}\times2^1} \\ \sqrt[2]{128}=2\times2\times2\sqrt[2]{2^1} \\ \sqrt[2]{128}=8\sqrt[2]{2} \end{gathered}[/tex]

Now, let's go back to the exercise:[tex]\begin{gathered} 3\sqrt{98}-\sqrt{128}\text{ is the same as } \\ 21\sqrt{2}-8\sqrt{2} \end{gathered}[/tex]

So, we just have to solve it now:

[tex]21\sqrt{2}-8\sqrt{2}=\boxed{13\sqrt{2}}[/tex]

Related Questions

Solve for x.2x + 3 ≤ x + 5

Answers

Answer:

x ≤ 2

Explanation:

Given the inequality:

[tex]2x+3\le x+5[/tex]

First, we subtract x from both sides.

[tex]\begin{gathered} 2x-x+3\le x-x+5 \\ x+3\le5 \end{gathered}[/tex]

Next, we subtract 3 from both sides.

[tex]\begin{gathered} x+3-3\leqslant5-3 \\ x\leqslant2 \end{gathered}[/tex]

d1 = 16 m; d2 = 14 m what's the rhombus?

Answers

Step 1 : To determine the area of the rhombus

[tex]\begin{gathered} d_1=16m,d_2\text{ = 14m } \\ Area\text{ = }\frac{1}{2}\text{ }\times d_1\text{ }\times d_2 \\ Area\text{ = }\frac{1}{2}\text{ }\times\text{ 16 }\times\text{ 14} \\ Area\text{ = }\frac{224}{2} \\ Area=112m^2 \end{gathered}[/tex]

Therefore the area of the rhombus = 112m²

Cai says you can divide both quantities in a ratio by the same non-zero number to find an equivalent ratio. Explain why cai is correct.

Answers

In this case, Cai is right.

Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.

For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).

the table shows the number of incorrect answers given by nine students on a standardized test which of the following measures would make the number of missed questions appear as a small as possible

Answers

Let's take them one after the other

To calculate the mean:

Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9

Mean= 115/9= 12.7

To calculate the median;

Median: position (n+1)/2=(9+1)/2=5

This implies it is the fiifth value after ordering them from least to gratest

4, 5, 10, 10, 11, 16, 18, 20, 21

The fifth observation is 11, that's the median

Calculate the range;

Range = highest - lowest = 21 - 4 = 17

Mode = bi modal = 10

The answer is the Mode which is 10

The correct option is the last option : Mode

On the last day of his summer tennis camp, Zach helps his instructor sort through a basket of tennis balls to throw out the old ones. Zach ends up throwing away 13 of the balls. He returns the remaining 42 balls to the basket. Which equation can you use to find the total number of tennis balls t Zach checks?

Answers

The equation that represents the total tennis balls is t = 13 + 42 and the value is 55

How to determine the equation that represents the total tennis balls?

From the question, the given parameters are

Total number of tennis ball = tNumber of tennis ball thrown away = 13Number of tennis ball returned = 42

The total number of tennis ball is the sum of the number of tennis ball thrown away and the number of tennis ball returned

Mathematically, this is represented as

Total number of tennis ball = Number of tennis ball thrown away + Number of tennis ball returned

Substitute the known values in the above equation

So, we have the following equation

t = 13 + 42

Evaluate the sum

t = 55

Hence, the equation of the tennis ball is t = 13 + 42

Answers

The equation for the graph is :

[tex]y=2x^2-4x+2[/tex]

You can graph the equation on a graph tool and view the graph as below:

From the graph, you can see that it opens upwards, so the statement is False.

Correct answer is that the graph opens upwards.

Answer choice : False

Question Evaluate. 7⋅5+42−23÷4 Responses 49 49 41 41 34 34 9 9

Answers

Answer: 71.25

This is not of of the options, but is the right answer.

Step-by-step explanation:

7 x 5 + 42 - 23 / 4 =

Step 1: Make parentheses

(( 7 x 5 ) + 42) - ( 23 / 4) =

Step 2: Solve parentheses ( Multiplication and division first )

(35 + 42) - 5.75 =

Step 3: Solve parentheses ( Addition )

77 - 5.75 =

Step 4: Subtract

= 71.25

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A grocery store sells bags of oranges in two different sizes.The 3-pound bags of oranges cost $4. The 8-pound bags of oranges cost $9. Which oranges cost less per pound? Explain your reasoning

Answers

The per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

In the question ,

it is given that a grocery store sells bags of oranges in two different sizes .

in first bag where 3 pound bags of oranges cost $4 .

So, 1 pound bag of orange will cost = 4/3 = $1.333 .

in the second bag where 8 pounds bags of oranges cost $9 .

So, 1 pound bag of orange will cost 9/8 = $1.125 .

we can see that $1.125 < $1.333 .

hence , the second bag of oranges costs less .

Therefore , the per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

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Which of the following is a correct interpretation of the expression -8 + (-8)?

Answers

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

Endpoint 19,-10) Midpoint (4,8).What is the other endpoint

Answers

Let the first end point be x1 y1 and the second x2 y2 the midpoint would be

x1 + x2 / 2 y1 + y2 / 2

Hence

(19 + x2)/2 = 4

19 + x2 = 8

x2 = 8 -19

x2 = -11

(-10 + y2)/2 =8

- 10 + y2 = 8

y2 = 8 + 10

= 18

The other end point is (-11, 18)

Sales tax in South Carolina is 5%. Mr. Smith bought a new car there for $18,700. What did he pay in sales tax?

Answers

Answer: $935

Step-by-step explanation:

Mr. Smith paid $935 in sales tax

The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?

0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars

Answers

Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)

Step-by-step explanation:

Answer:it would be 4.6x10^11

Step-by-step explanation:

2. Graph the following inequality on the axes provided below: 6x + 2y = 8 -10 8 6 4 2 -101-8-6 1-4-2 -2 2 4_LG_L 8 10 -4 -6 -8 -10 True or False: (1,1) is a solution to the inequality. Explain using evidence from your graph.

Answers

We are given the following inequality

[tex]6x+2y<8[/tex]

Let us first convert the inequality into slope-intercept form

[tex]\begin{gathered} 6x+2y<8 \\ 2y<-6x+8 \\ y<-\frac{6x}{2}+\frac{8}{2} \\ y<-3x+4 \end{gathered}[/tex]

Comparing this inequality with the standard slope-intercept form we see that

Slope = -3 and y-intercept = 4

So the graph of the inequality is

The area left to the red line represents the solution of the inequality.

Now we need to check if the point (1, 1) lies left to the red line.

We can clearly see that point (1, 1) is just left to the red line hence it is a solution.

Therefore, it is true.

consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?

Answers

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?.

Solution:

Let the function f(x) whose second derivative is:

[tex]f^{\prime\prime}(x)\text{ = 4x+4sin(x)}[/tex]

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

[tex]f^{\prime}(x)=\int f^{\prime\prime}(x)\text{ }dx\text{= }2x^2-4\cos (x)\text{ +C1}[/tex]

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

[tex]f(x)=\int f^{\prime}(x)\text{ }dx\text{=}\int \text{ (}2x^2-4\cos (x)\text{ +C1)}dx\text{ }[/tex]

that is:

EQUATION 2:

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+C1x+\text{ C2}[/tex]

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

[tex]3=\text{ C2}[/tex]

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

[tex]4=f^{\prime}(0)\text{= }^{}-4\text{ +C1}[/tex]

That is:

[tex]4=\text{ }^{}-4\text{ +C1}[/tex]

Solve for C1:

[tex]8=\text{ }^{}\text{C1}[/tex]

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

[tex]f(x)=\text{ }\frac{2x^3}{3}-4\sin (x)+8x+3[/tex]

Then f(5) would be:

[tex]f(5)=\text{ }\frac{2(5)^3}{3}-4\sin (5)+40+3=\text{ }125.98[/tex]

then the correct answer is:

[tex]f(5)=\text{ }125.98[/tex]

What is 3 divided by 512 ?

Answers

[tex]\text{3 divided by 512 is }\frac{3}{512}[/tex][tex]We\text{ are using the long division method to divide 3 by 512.}[/tex]

Here 3 is smaller than 512 so we write 0.00 as the quotient.

Now 3000 is divisible by 512.

Substract 2560 from 3000, we get 440

now again 440 is smaller than 512, so we write 0 near 440 we get 4400.

Now 4400 is the dividend.

If we proceed with this division we get

[tex]\frac{3}{512}=0.005859375[/tex]

Hence the approximate answer is

[tex]\frac{3}{512}\approx0.01[/tex]

the number of regular telephones in use is how many times the number of cellular phones? 45% regular phones15% cellular phones6% others34% Cordless phones

Answers

Solution

For this case we have the following info:

45% regular phones

15% cellular phones

6% others

34% Cordless phones

We know that the total regular of phones is 45% and the total of cellular phones are 15% then we can find the ratio like this:

45/15 = 3

HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST

Answers

By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

How to find a rational number between two rational numbers

Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:

x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2) Given

x = - 1 / 6 - 1 / 4 Multiplication of rational numbers

x = - 4 / 24 - 6 / 24 Modulative, commutative and associative properties / Existence of multiplicative inverse

x = - 10 / 24 Addition of fraction with same denominator

x = - 5 / 12 Simplification / Result

The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

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Jane needs $20 to buy her radio.She has saved $15.What precent of the cost of the radio has she saved?

Answers

Let's begin by listing out the information given to us:

Cost of Radio (c) = $20

Jane's saving (s) = $15

% of radio cost saved = (Jane's saving / Cost of Radio) * 100%

[tex]\begin{gathered} x=\frac{s}{c}\cdot100 \\ x=\frac{15}{20}\cdot100=75 \\ x=75 \end{gathered}[/tex]

Jane has saved 75% of the radio cost

5) 40,20,10,5, _,_,_a) Explain and Complete the sequence.B) write an explicit and recursive formula for the sequence

Answers

We have the sequence: 40, 20, 10, 5,...

Each term is half the previous term, so it is a geometrical sequence with common ratio r = 0.5.

We can not complete the sequence, as it becomes infinitely smaller and does not have a last term.

But we can write the three next terms to complete the blank spaces: 2.5, 1.25, 0.625.

We can start by writing the recursive formula. We know that each term is half the value of the previous term, so we wil have:

[tex]a_n=0.5\cdot a_{n-1}[/tex]

From this recursive formula, we can deduce the explicit formula (in terms of n) as:

[tex]\begin{gathered} a_1=40 \\ a_2=0.5\cdot40=20 \\ a_3=0.5\cdot20=0.5\cdot(0.5\cdot40)=0.5^2\cdot40=10 \\ a_4=0.5\cdot10=0.5\cdot(0.5^2\cdot40)=0.5^3\cdot40 \\ \Rightarrow a_n=40\cdot0.5^{n-1} \end{gathered}[/tex]

Answer:

a) Geometric sequence with r = 0.5.

The sequence first terms are: 40, 20, 10, 5, 2.5, 1.25, 0.625.

b) The recursive formula is a(n) = 0.5*a(n-1).

The explicit formula is a(n) = 40*0.5^(n-1).

Please help me with this sample question.Find f(0)Find f(1)Find f(2)

Answers

In order to find the values of f(0), f(1) and f(2), we just need to find in the graph for the value of the function (that is, the value of y) for the values of x equal to 0, 1 and 2 respectively.

Looking at the graph, for x = 0 we have y = -7, therefore f(0) = -7

For x = 1 we have y = -2, therefore f(1) = -2

For x = 2 we have y = -5, therefore f(2) = -5

Valentina earned some money doing odd jobs last summer and put it in a savings account that earns 7% interest compounded quarterly after 5 years there is 500.00 in the account how much did valentina earn doing odd jobs

Answers

[tex]\begin{gathered} 7\text{ percent interest compounded quarterly after 5 years} \\ 500\text{ in the account} \\ the\text{ }compound\text{ interest formula is given by} \\ A=P(1+\frac{r}{n})^{nt} \\ \text{where, r is the rate} \\ P\text{ the principal} \\ n\text{ number of years} \\ \text{t is the time} \\ A\text{ the amount} \\ by\text{ substituying values, we have:} \end{gathered}[/tex][tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=500(1+\frac{0.07}{\frac{1}{4}})^5 \\ A=500(1+0.28)^5 \\ A=500(3.43) \\ A=1717.98 \end{gathered}[/tex]

The volume of the right cone below is 36π units ^3. Find the value of x

Answers

Explanation

The formula to find the volume of a cone is:

[tex]\begin{gathered} V=\frac{1}{3}\pi r{}{}^2h \\ \text{ Where} \\ V\text{ is the volume} \\ r\text{ is the radius} \\ h\text{ is the heigth} \end{gathered}[/tex]

Then, we replace the know values in the above formula and solve for h.

[tex]\begin{gathered} V=36\pi \\ r=\frac{\text{ diameter}}{2}=\frac{6}{2}=3 \\ h=x \end{gathered}[/tex][tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ 36\pi=\frac{1}{3}\pi(3)^2x \\ 36\pi=\frac{9\pi x}{3} \\ 36\pi=3\pi x \\ \text{ Divide by }3\pi\text{ from both sides} \\ \frac{36\pi}{3\pi}=\frac{3\pi x}{3\pi} \\ 12=x \end{gathered}[/tex]Answer

The value of x is 12 units.

Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.

On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?

Answers

The basic operation use for the problem is subtraction.

The number of miles Santina drove than Carole is 14 miles.

How to solve problems with basic operations?

Basic operations are the building blocks and rules of math.

The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.

The distance in miles Santina drive than Carole is the difference between there distance travelled.

Therefore, the basic operation applied in this problem is subtraction.

Hence, let's solve it as follows:

miles Santina drove than Carole = 203 - 189 = 14 miles

Therefore, Santina drove 14 more miles.

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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.

How to solve problems with basic operations?

Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.

The distance Santina drives is miles than Carole, which is the difference between their distance traveled.

Thus, the basic operation applied in this problem will be; subtraction.

Hence, let's simplify it as follows:

The miles, Santina drove = 203 - 189 = 14 miles

Therefore, Santina drove 14 more miles than Carole.

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find the area of the semicircle round to the nearest tenth use 3.14 for pi do not include units with your answer 12 in

Answers

226.08

1) Since the area of the semicircle is half the circle area, then we can write:

[tex]S=\frac{1}{2}\cdot\pi\cdot r^2[/tex]

2) So we can plug into that the size of that radius:

[tex]\begin{gathered} S=\frac{1}{2}\cdot\pi\cdot(12)^2 \\ S=\frac{1}{2}\cdot\pi\cdot144 \\ S=72\pi\Rightarrow S=72\times3.14\Rightarrow S=226.08 \end{gathered}[/tex]

3) Hence, the area of that semicircle is 226.08 in²

What’s the last number in row 8 for the new number triangle I made

Answers

We have the sequence, shown as a number triangle, where in each step we add 5 (that is the constant difference).

We can write:

6 11

16 21 26

31 36 41 46

51 56 61 66 71

76 81 86 91 96 101

106 111 116 121 126 131 136

141 146 151 156 161 166 171 176

Answer: The last number in row 8 is 176.

Answer:

thr last number in row eight is 176

Add the complex numbers 3 + 11i and -3 - 11i.6 + 0i0 + 0i0 + 22i- 9 + 121i

Answers

SOLUTION

The given complex unbers are:

[tex]3+11i,-3-11i[/tex]

Add the complex numbers:

[tex]3+11i+(-3-11i)[/tex]

Simplify the expression:

[tex]\begin{gathered} 3+11i-3-11i \\ =3-3+11i-11i \\ =0+0i \end{gathered}[/tex]

Therefore the required answer is: 0+0i

You want to put a 4 inch thick layer of topsoil for a new 23 ft by 31 ft garden. The dirt store sells by the cubicyards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Remember that

1 ft=12 in

1 yd =36 in

The garden is 23 ft by 31 ft

Convert to inches

23 ft=23*12=276 in

31 ft=31*12=372 in

Find out the volume

V=(276)*(372)*(4)

V=410,688 in3

Convert to cubic yards

410,688 in3=410,688*(1/36)^3=8.80 cubic yards

Remember that

The store only sells in increments of 1/4 cubic yards

The volume is 9 cubic yards

if x=2, then x^2=4, what is the inverse or give a counterexample

Answers

Step-by-step explanation:

if x = 2, then x^2 = 4, the inverse would thus be: if x^2 = 4, then x = 2.

This is partially true though since multiple values would satisfy the equation x^2 = 4, or rather 2 values. negative two and positive two. So x=2 is one solution, but just because x^2 = 4, that doesn't necessarily imply that x=2.

The solution process is shown for any equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop down menu.

Answers

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

what property justifies the statement? if a=b and b=5,then a=5. A. addition property of equality. B. reflexive property.C transitive property. D. symmetric property.

Answers

a=b

b=5

a=5

Symmetric propery of equality. (D)

It states that if quantity a equals quantity b, then a equals b.

Other Questions

Instructions Read and analyze the poem below by Billy Collins to answer the following question. Encircle the letter of the correct answer. Introduction to Poetry BY BILLY COLLINS I ask them to take a poem and hold it up to the light like a color slide or press an ear against its hive. I say drop a mouse into a poem and watch him probe his way out, or walk inside the poems room and feel the walls for a light switch. I want them to waterski across the surface of a poem waving at the authors name on the shore. But all they want to do is tie the poem to a chair with rope and torture a confession out of it. They begin beating it with a hose to find out what it really means. 1. How many stanzas are there in the poem? a. 5 b. 6 c. 7 d. 82. What is the tone of the poem? a. The poet says that he wants to thank God. b. It is overwrought, dark, frantic, and intense throughout this whole short story. c. It is to satirize the modern sensibility regarding poetry. d. The poem shows how fun becoming an adult is. 3. What is the figurative language used in tie the poem? a. hyperbole b. alliteration c. metonymy d. metaphor 4. What is the figurative language used in the first stanza of the poem? a. alliteration b. onomatopoeia c. simile d. metaphor 5. What does the line in stanza 2 mean? a. Collins is comparing poetry to a buzzing hive of insects, asking the readers to simply listen. b. He is referring to a group of students or perhaps his readers in general. c. Collins is comparing poetry to insects, asking the readers to give their opinion. d. It is where the central idea is established. 6. In stanza 4, the author describes a poem as having a dark room that he wants his students to walk into, then feel the walls to try and find the light switch. Which of these statements is the best interpretation of that metaphor? a. Poems are so confusing, they're like walking into a dark room you have to find your way out of. b. 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Quantum Theory proposes electrons maybe found in orbitals, which are based onwhat?Bohr's planetary modelThompson's Plum Pudding Modelthe probability of finding an electron in anarea around the nucleusThe Heisenberg-Rutherford Model I need help please because a few tutors I got had false answer and when I tried to do it it was also wrong. i inserted a picture of the question can you please state whether the answer is A,B, C or D check all that apply how can trainee appraisers be assured that the duties assigned by supervisor appraisers will enhance their understanding and progression of knowledge and experience in all applicable valuation methodologies and approaches to value? Melanie has pears and papayas in a ratio of 13:25. How many pears does she have ifshe has 2500 papayas?On the double number line below, fill in the given values, then use multiplication ordivision to find the missing value. A small mailbag is released from a helicopter that is descending steadily at 2.82 m/s.(a) After 3.00 s, what is the speed of the mailbag?v = m/s(b) How far is it below the helicopter?d = m(c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 2.82 m/s?v = m/sd = m 40 push-ups in 5 days = push-ups in 6 days Find the equation of the line passing through points (6,0) and (-1,14) In the diagram below of AGJK, H is a point onGJ, HJ = JK, m2 = 28, and mZGJK = 76.What is mZGKH?2870H Emmanuel did not achieve any of his fitness goals this month. To help figure out why,he has decided to journal about what happened and see if there is a way he can findsuccess in the upcoming months. What does Emmanuel's journaling BESTdemonstrate?O intensityO reflectingO activationO extrinsic motivation Following the invasion of Algeria in 1830, France expanded through colonization in Africa and Asia. France's leaders spoke about colonization as a force for doing good. They claimed to be bringing political, cultural, and economic reform, but in reality what did they bring to their African colonies? which statement accurately depicts how volatile exchange rates affect the international capital market? multiple choice question. volatile exchange rates create uncertainty which might act as a brake on the growth of the international capital market. volatile exchange rates foster growth and prosperity within the international capital market. volatile exchange rates have no effect on the international capital market because it is smaller than the domestic market. Could you tell me the process of solving the problem?