Passports. In 2006, approximately 71 million valid
passports were in circulation in the United States.
This number increased to approximately 102 million
in 2011. What is the percent increase?

Answers

Answer 1

Answer:

0.437%

Step-by-step explanation:

given:

initial number =  71 M

final number = 102M

increase = final number - initial number

= 102 - 71

= 31 M

Percent increase

= increase / initial number x 100%

= (31 / 71) x 100%

= 0.437%

Answer 2
Answer :

No. of valid passports in 2006 = 71M

No. of valid passports in 2011 = 102M

We have to find percentage increase in the number of passports[tex].[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{N_2-N_1}{N_1}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{102M-71M}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{31}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{3100}{71}[/tex]

[tex]\leadsto\:\boxed{\bf{\blue{\% Increase=43.66\%}}}[/tex]

Hope it helps !

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Related Questions

The height off the ground, in feet, of a certain baseball that travels through the air is given by the equation h = 3.5 + 68t - 16t^2, where t is measured in seconds. Find the height off the baseball, to the nearest foot, when t = 4 seconds.

Answers

Answer:

20 feet

Step-by-step explanation:

Plug in 4 as t in the equation:

h = 3.5 + 68t - 16t^2

h = 3.5 + 68(4) - 16(4²)

h = 3.5 + 272 - 256

h = 19.5

So, the height of the basketball is 20 feet

Please help. I don’t understand this math problem.

Answers

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

Find the midpoint of the segment with the following endpoints.
(-2, 1) and (6,-3)

Answers

Answer:

The midpoint is ( 2,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add  the x coordinates and divide by 2

(-2+6)/2 =4/2 =2

To find the y coordinate of the midpoint, add  the y coordinates and divide by 2

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

The midpoint is ( 2,-1)

Answer:

(2, -1)

Step-by-step explanation:

Let M is the midpoint of that segment with the endpoints A(-2,1) and B(6,-3)

x-coordinate of M:

xM = (xA + xB) / 2 = (-2 + 6) / 2 = 4 / 2 = 2

y-coordinate of M:

yM = (yA + yB) / 2 = ( 1 + -3) / 2 = -2 / 2 = -1

Answer: M(2, -1)

Given the vectors shown, find the sum (P+Q+R).

Answers

128 because it rly easy

When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?

Answers

Answer:

-60.

Step-by-step explanation:

Let the unknown number be x.

Number is increased by 26 = x+26

Then result is tripled = 3(x+26)

Then the result is increased by 72 = 3(x+26)+72

Final result is [tex]\dfrac{1}{2}[/tex] of the number = [tex]\dfrac{1}{2}x[/tex]

[tex]3(x+26)+72=\dfrac{x}{2}[/tex]

[tex]3x+78+72=\dfrac{x}{2}[/tex]

[tex]3x+150=\dfrac{x}{2}[/tex]

Isolate variable terms.

[tex]3x-\dfrac{x}{2}=-150[/tex]

[tex]\dfrac{6x-x}{2}=-150[/tex]

Multiply both sides by 2.

[tex]5x=-300[/tex]

Divide both sides by 5.

[tex]x=-\dfrac{300}{5}[/tex]

[tex]x=-60[/tex]

Therefore, the required number is -60.

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

Write the next 4 digits in the repeating decimal 4.715

Answers

Answer:

4.7157157

Step-by-step explanation:

because it is a repeating decimal, it will repeat the terms that come first such as 715.

What is the sum?

−1.5+1.9

Enter your answer, as a decimal, in the box.

Answers

Answer:

0.4

Step-by-step explanation:

Answer: it's 0.4 as a decimal

Step-by-step explanation:

The area can be found by multiplying the side lengths that are 6 units & 4 units

Answers

Answer:squares area is. 24

Step-by-step explanation:

6×4 = 24

What is the domain in interval notation. do not include any spaces in your answers! Type in the word infinity if needed

Answers

Answer:

(-6,5]

Step-by-step explanation:

Domain includes all of the x-values a function contains. In this case, it goes from -6 to 5. The open dot on the left indicates that this number is not included in the answer, and in interval notation you would use a parentheses. The filled in dot on the right coordinate indicates that this number is included, so you would use a bracket.

(-6,5] and step but step


What is the value of the expression below when y = 5?
4y2 – 7y - 6

Answers

Answer: 371

Step-by-step explanation:

Answer:59

Step-by-step explanation:

Math 1 3/8 1/4 a c= 2 5/8 11/16 a c= 3 4/6 6/9 a c=

Answers

Wen can turn both fractions into decimals.

1 1/3 = 1.333...

1/4 = 0.25

As we can see 1 1/3 is greater than 0.25.

Therefore, the answer is [ 1 1/3 > 1/4 ]

Best of Luck!

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Answers

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

Each day Tania decides to do something nice
for 2 strangers. What is the relationship
between the number people helped and days.

Write a Recursive and Explicit equation.

Answers

Answer:

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

Step-by-step explanation:

She helps the same number of people every day, 2.

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.

c(a + b)- d = f, for a

Answers

Hopes this helps you out

Answer:

Step-by-step explanation:

C(a + b) = f + d

a + b = (f + d)/C

a = (f + d)/C - b

The sum of 2 composite numbers is never a prime number. Explain your answer.

Answers

Answer:

Step-by-step explanation:

Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than  1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.

For example:

4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.

We all know that prime numbers are numbers that can be only be divided by 1 and itself.

Therefore, the sum of two composite number, for example:

4 + 6 = 10, We can now see that 10 is never a prime number.

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?

Answers

Answer:

1/26

Step-by-step explanation:

Total no. of tiles = 26

In each tile , a different alphabet is written.

And we need 3 tiles (in which A , B & C are written in it) in one try.

So the probability of choosing tiles with letters A , B & C ( in one try ) = 1/26

Solve the equation –4 In(6x) = 2.
O A. 0.101
B. 0.275
C 3.639
D. 67.238

Answers

Isolate the variable using algebraic manipulation.

[tex]-4 ln(6x)=2[/tex]

[tex]ln(6x)=-\frac{1}{2}[/tex]

[tex]6x=e^{-\frac{1}{2}}[/tex]

[tex]x=\frac{e^-\frac{1}{2}}{6}[/tex]

[tex]x=0.101[/tex]

Hope this helps.

頑張って!

Answer:

A) 0.101

Step-by-step explanation:

[tex]ln(6x) = -1/2[/tex] [tex]6x = e^(^-^1^/^2^)[/tex] [tex]6x = 1/\sqrt{e}[/tex] [tex]x = 1/(6\times \sqrt{e})[/tex]

Using the calculator [tex]x = 0.101[/tex]

Findf '(3), where f(t) = u(t) · v(t), u(3) =1, 2, −2, u'(3) =8, 1, 4,andv(t) =t, t2, t3.

Answers

Answer:

[tex]f'(3)=100[/tex]

Step-by-step explanation:

Given:

[tex]f(t)=u(t)\cdot v(t)\\u(3)=\left ( 1,2,-2 \right )\\u'\left ( 3 \right )=\left ( 8,1,4 \right )\\v(t)=\left ( t,t^{2},t^{3} \right )[/tex]

To find: [tex]f'(3)[/tex]

Solution:

[tex]v(t)=\left ( t,t^{2},t^{3} \right )[/tex]

At [tex]t=3;[/tex]

[tex]v(3)=(3,3^{2},3^{3} )=(3,9,27)[/tex]

Differentiate with respect to t

[tex]v'(t)=\left ( 1,2t,3t^{2} \right )[/tex]

At [tex]t=3;[/tex]

[tex]v'(3)=\left ( 1,2(3),3(3)^{2} \right )=\left ( 1,6,27 \right )[/tex]

Using product rule, differentiate [tex]f(t)=u(t)\cdot v(t)[/tex] with respect to [tex]t[/tex]

[tex]f'(t)=u'(t)\cdot v(t)+u(t)\cdot v'(t)[/tex]

At [tex]t=3;[/tex]

[tex]f'(3)=u'(3)\cdot v(3)+u(3)\cdot v'(3)\\=\left ( 8,1,4 \right )\cdot \left ( 3,9,27 \right )+\left ( 1,2,-2 \right )\cdot \left ( 1,6,27 \right )\\=24+9+108+1+12-54\\=100[/tex]

34+987=what please help

Answers

Answer:

1021

Step-by-step explanation:

i added 34 +987 and got 1021

1021 because 34+987= 1021

Write an equation in slope-intercept form (y = mx + b).

Passing through (2, -3) with a slope of 5/3.

Answers

Answer:

Step-by-step explanation:

y + 3 = 5/3(x - 2)

y + 9/3 = 5/3x - 10/3

y = 5/3x - 19/3

the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?

Answers

the two numbers are 40 and 18

Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type I: A([i,j], :)=([j,i],:) interchanges row i and row j Type II: A(i,:)=2*A(i,:) multiplies row i by a Type III: A(i, :)=A(i, :)+ q*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: [ 3 5 4 -12 -23 -14 6 4 14] Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form. Use format rat.

Answers

Answer:

The solution and the calculation is shown on the first uploaded image

Step-by-step explanation:

The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

Answers

Answer:

The  95% confidence interval is  [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

Step-by-step explanation:

From the question we are told that

  The  data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

  The  sample  size is  [tex]n= 20[/tex]

   

Given that the confidence level is 95% then the level of significance is

      [tex]\alpha = (100 - 95)\%[/tex]

      [tex]\alpha = 0.05[/tex]

The  degree of freedom is mathematically represented as

    [tex]df = 20 -1[/tex]

    [tex]df = 19[/tex]

From the student t-distribution table  the critical value of  [tex]\frac{\alpha }{2}[/tex]  is  

          [tex]t_{\frac{\alpha }{2} , 19 } = 2.093[/tex]

The mean is mathematically represented as

          [tex]\= x = \frac{\sum x_i}{ n}[/tex]

         [tex]\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}[/tex][tex]\= x = 246.6[/tex]

The standard deviation is mathematically represented as

            [tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }[/tex]

           [tex]\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..[/tex]

             [tex]\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...[/tex]

              [tex]\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...[/tex]       [tex]\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }[/tex][tex]\sigma = 2.87411[/tex]

The margin of error is mathematically represented as

       [tex]E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.093 * \frac{2.87411 }{\sqrt{20} }[/tex]

      [tex]E = 1.345[/tex]

The 95% confidence interval is mathematically represented as

       [tex]\= x - E < \mu < \= x + E[/tex]

=>   [tex]245.6 - 1.345 < \mu <245.6 + 1.345[/tex]

=>    [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

     

If f (x) = 3x − 4, Find f (−1) Helpp

Answers

Answer:

f(x) = 3x-4

f(-1)= 3(-1) -4

f(-1) = -3-4

= -7

hope this helps uh!

Answer:

f(-1)= -7

Step-by-step explanation:

We are given the function:

f(x)=3x-4

We want to find f(-1). We must plug -1 in for x and solve.

f(-1)= 3(-1)-4

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 3 and -1.

f(-1)= -3 -4

Subtract 4 from -3.

f(-1)= -7

f(-1) is equal to -7.

The segment with endpoints (-1,4) & (2,8) has a distance of

Answers

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

Determine if the following relations represent y as a function of x. x=y^4

Answers

Answer:

x = y⁴ does not represent y as a function of x

Step-by-step explanation:

Let's first isolate this equation for the 'y' value :

[tex]\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}[/tex]

So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.

Solution: x = y⁴ does not represent y as a function of x

Plz help 7th grade math

Answers

Answer:

9feet

Step-by-step explanation:

B= -34 M=-25

-34-(-25)=-34+25=9

Answer:

9 feet

Step-by-step explanation:

Brett is -34 feet and Max is -25 feet from sea level.

In order to find how many feet Max is above Brett, we can change the numbers to be positive and subtract Brett's distance - Max's distance

34-25=9

Max is 9 feet above Brett

Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maximum (vertex)? Question 16 options: A) There isn't enough information given. B) g(x) and ƒ(x) have equal absolute maximums. C) g(x) D) ƒ(x)

Answers

Answer:

Answer C:  g(x)

Step-by-step explanation:

I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).

The absolute max of g(x) is approximately (3.25, 6.1).

The absolute max of f(x) is approximately (2, -1).

Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct:  g(x) has the greater absolute maximum

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