The population of a city increases by 0.8% per year. if this year's population is 101,000, what will next year's population be, to the nearest individual?

Answer:

They're all false??? Do them on a calculator!

Answer:

this can be impossible

Step-by-step explanation:

Answer:

The right answer choice is the last one

-3x^3 - 3x^2 + 7x + 2

Answer:

The last one is correct

Step-by-step explanation:

multiply -3[tex]x^{2}[/tex] + 3x + 1 by x and the by 2 and then add them together.

x(-3[tex]x^{2}[/tex] + 3x + 1)

-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x

2(-3[tex]x^{2}[/tex] + 3x + 1)

-6[tex]x^{2}[/tex] +6x +2

Add the two bold expressions above to find the answer.

-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x -6[tex]x^{2}[/tex] + 6x + 2

-3[tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +7x +2

Answer:

20:12 32:50 24:40 3:5 14:40

The scientific notation of the whole number 165000 is (1.65 * 10⁵).

As per the question statement, we are provided with a number which is 165000.

We are require to determine the scientific notation of the above mentioned number.

Here, 165000 can be written as (165 * 1000)

Or, 165000 = (1.65 * 100 * 1000)

Or, 165000 = (1.65 * 100000)

Or, 165000 = (1.65 * 10⁵)

That is, the scientific notation of 165000 is (1.65 * 10⁵).

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LCM  of 17, 23, 29   = 11339

HCF of 17, 23, 29     = 1

How to find LCM and HCF by prime factorization?

The numbers 17, 23, 29 are prime  numbers themselves.

By prime factorization we consider only the prime factors.

LCM of 17, 23, 29  = 17 ×23 ×29  (Since the numbers are prime)

                             =11339

HCF of 17, 23, 29 = 1    (Since the  common factor is 1)

What is prime factorization?

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Answer:

Step-by-step explanation:

The price of iphone in £ will costs £825 in London, £848.21 in Paris and  £839.16 in New York .The lowest value of iphone in London which costs  £825.

We had given the following information that An iphone costs £825 in London, €950 in Paris and $1,200 in New York.

We have to find the lowest price of iphone among the given iphone prices

We had to find the lowest price in £ .

Therefore we have to convert all the given prices into £.

For the conversion of prices we had given that  £1 = €1.12 and £1 = $1.43.

Now In Paris iphone costs €950. Converting €950 into £ will be as follows

 £1 = € 1.12.

∴ £x = € 950.

∴ x = £848.21.

Now In New York iphone costs $1,200. Converting $1,200 into £ will be as follows

£1 = $1.43.

∴ £x = $1,200

∴ x = £839.16.

Now the price of iphone in £ will costs £825 in London, £848.21 in Paris and  £839.16 in New York.

Therefore by comparison we get the lowest value of iphone in London which costs  £825.

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The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The rate of the calorie burning per mile  = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,

Thus, the required number of calories burned at the 4 miles of running is 160 calories.

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Answer:

[tex]\sf -1\dfrac{31}{33}[/tex]

Step-by-step explanation:

Fraction division:

         [tex]\sf -5\dfrac{1}{3}=\dfrac{-16}{3}\\\\\\2\dfrac{3}{4}=\dfrac{11}{4}[/tex]

         [tex]\sf \dfrac{-16}{3} \ \div \ \dfrac{11}{4}=\dfrac{-16}{3}*\dfrac{4}{11}[/tex]

                            [tex]\sf = \dfrac{(-16)*4}{3*11}\\\\=\dfrac{-64}{33}\\\\[/tex]

                             [tex]\sf = -1\dfrac{31}{33}[/tex]              

Answer: -64/33 or -1 31/33

Step-by-step explanation:

First, whenever you are dividing mixed fractions we always convert them to an improper fraction, so let’s do that first.

We multiply the whole number to the denominator and then add that number to the numerator.
-5 1/3

This would be (-5*3) + -1(note that since it’s a negative number, we would have to subtract this

= -16, and add the original denominator 3 also, so it’s -16/3

Do the same for 2 3/4

(2*4) + 3 = 11

11/4

(-16/3) / (11/4)

Now to convert this expression into multiplication, we use the reciprocal(flipped version) of the divisor

11/4 would become 4/11

Which makes the expression:

(-16/3) * (4/11)

Now just multiply the denominators with each other and the numerators

-16*4 = -64

3*11 = 33

Your answer would be -64/33 or in mixed fraction form, -1 31/33

Time take to read a book that has 218 pages is  196.2

According to the question, given that

Time takes to read 5 pages of a book can be represented equation y equal to 4.5  divided by 5 times

where y represents the total time in minutes and x represents the number of pages read

Time take to read a book that has 218 pages.

x = [tex]218*\frac{4.5}{5}[/tex]

  = [tex]\frac{981}{5}[/tex]

  = 196.2

Therefore, we get time 196.2 to read a book that has 218 pages.

Depending on which values you input into the reading time , you can find out:

- How much time per day should you allocate to finish in x days;

- How much time does it take to read this book

- What the total reading time will be (in hours);

- How many pages you'll be able to read in a given time; and

- How fast you should read to finish this book on time.

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Answer:

Time take to read a book that has 218 pages is  196.2

Step-by-step explanation:

The probability of both balls being red is 2/7

Given that there are four red balls and three green balls in a bag and two of the balls are out of the bag without replacement.

We must find the probability that both balls are red.

Let us consider,

Probability of drawing a red ball = 4 red balls / 7 total balls

1st draw is (4/7)

None are replaced, (put back in the bag) so now there are 3 red balls in a bag of 6 total balls.

2nd draw is 3/6 = (1/2)

Multiply the probabilities together to find the chance of drawing red 2 times in a row.

= (4/7) * (1/2)

= 2/7

Hence, the probability that both balls are red is 2/7

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Given:

a circle of radius = r = 5 inches

We will find the length of the arc subtended by a central angle of 220 degrees

We will use the following formula:

Substitute with r = 5, and θ = 220

So, the langth of the arc will be as follows:

Rounding to the nearest hundredth

So, the answer will be the length of the arc = 19.20 inches

We need to simply find the difference in height to solve this problem. The person standing at an elevation of 15 feet is closer to the basement.

The elevation of the basement is said to be 12 feet and the elevation of the roof is 32 feet. The person is standing at an elevation of 15 feet. Inorder to find whether the person is closer to the basement of the roof we need to find the difference in height of the person from the basement and from the roof. The difference in height between the person and the basement is 15-12=3 feet and the difference between the height of the person and the roof is 32-15=17 feet. Since 3 is less than 17 the person is closer to the basement.

Therefore the person standing at an elevation of 15 feet is closer to the basement.

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According to the concept of scales, the scale length of the scale model of the 1940 Ford pickup truck is 10.5 inches.

Scale models are useful resource to describe huge and tiny system at a reasonable scale, whose dimensions are derived from the concept of scale, which relates scale lengths to real lengths in the following manner:

d' = r · d

Where:

If we know that d = 15.75 ft and r = 2 / 3 in / ft, then the scale length of the 1940 Ford pickup truck is:

d' = (2 / 3 in / ft) · (15.75 ft)

d' = 10.5 in

By using the concept of scale, the length of the scale model is 10.5 inches.

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Answer: 100

Step-by-step explanation:

(C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.

So, only one of the options in this case—the dollar value being affected by constant inflation—seems to exhibit exponential decay.

Therefore, (C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.

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The correct question is given below:

Which of the following scenarios demonstrates an exponential decay?

A. Value of a dollar invested in a savings account

B. Value of a dollar affected by constant deflation

C. Value of a dollar affected by constant inflation

D. None of the above

The value of the expression, [9(10 - 2)] ÷ [2 + (5 × 2)], found using PEMDAS order of operations is 6

A mathematical expression is a mathematical statement which consists of two or more numbers or variables that are linked by mathematical operators.

The possible expression in the question is presented as follows;

[9(10 - 2)] ÷ [2 + (5 × 2)]

The above expression can be evaluated using the order of operations convention, which is a set of rules used in mathematics and computer programming, that indicates the procedure which comes first when evaluating a mathematical expression.

The rules can be memorized using mnemonics like PEMDAS that represents;

PEMDAS indicates that operations within a parentheses is to be performed first, before exponents, which comes before multiplication, followed by division then addition before subtraction.

The convention aims to remove ambiguity, such that the expression 1 + 2 × 3 = 1 + (2 × 3)

To evaluate the given expression, we therefore have;

[9(10 - 2)] ÷ [2 + (5 × 2)]

Performing operations within the parentheses gives;

[9(10 - 2)] ÷ [2 + (5 × 2)] = [9(8)] ÷ [2 + (10)]

[9(8)] ÷ [2 + (10)] = [9×8] ÷ [2 + 10]

[9×8] ÷ [2 + 10] = 72 ÷ 12

There are no exponents, (E), or further multiplication, (M), outside the parentheses, therefore performing the, division, (D) gives;

[tex]\displaystyle{ 72 \div 12 = \frac{72}{12} =6}[/tex]

The value of the expression is therefore;

[9(10 - 2)] ÷ [2 + (5 × 2)] = 6

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The number of freshman who prefer football to basketball is 138 students

It should be noted that the random sample of 50 students found that 12 students prefer football to basketball.

The students that prefer football will be:

= Fraction × Total number of students

= 12/50 × 575

= 6900/50

= 138

There will be 138 students.

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Answer:

Step-by-step explanation:

Annabelle did not make a mistake. you have to substitute 0 in for x then dived the equation by 2 giving you the answer of 4. She is correct. A rockstar as the answer says. :) hope this helped!

======================================================

Reason:

She wants to find the y value when x = 0. This is why she replaced every copy of x with 0. Step 1 is correct.

Step 2 is also correct because 3 times 0 is 0. She multiplied correctly.

Step 3 is correct because she needs to undo the "2 times" that is applied to y, in order to isolate it. Division is the inverse operation of multiplication.

Step 4 is correct because 8/2 is 4

Every step she did is correct, and so is the final answer.

------------

Here's one way Annabelle could check her work

3x+2y = 8

3*0+2*4 = 8 .... plug in x = 0 and y = 4

0 + 8 = 8

8 = 8

We get the same thing on both sides, which confirms that x = 0 pairs up with y = 4. In other words, (x,y) = (0,4) is a solution to 3x+2y = 8.

The point (0,4) is on the line 3x+2y = 8. This point is the y intercept where the graph crosses the y axis.

ANSWER: 150

EXPLANATION

Based on the given conditions, formulate: 1500 divided 10

Cross out the common factor: 150

get the result: 150

Answer: 150

your welcome

Answer:

T(2,-1)

Q(3,1)

S(0,-2)

R(3,-3)

Answer:

It allows us to disregard the shape of the population when n is large.

Step-by-step explanation:

When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.

The quadratic equations are given as follows:

37. y = 1.6(x² - 2x - 3).

38. y = x² - x.

39. y = 0.4074(x² - 12x + 11).

The roots of the quadratic equation are at x = -1 and x = 3, hence it can be written as follows:

y = a(x + 1)(x - 3)

In which a is the leading coefficient.

Hence:

y = a(x² - 2x - 3)

When x = 1, y = -8, hence the leading coefficient a can be found as follows:

-8 = a(1 - 2 - 3)

5a = 8

a = 8/5

a = 1.6

Hence the equation is:

y = 1.6(x² - 2x - 3).

The roots of the quadratic equation are at x = 0 and x = 1, hence it can be written as follows:

y = ax(x - 1)

Hence:

y = a(x² - x)

When x = 2, y = -2, hence the leading coefficient a can be found as follows:

2 = a(2² - 2)

2a = 2

a = 1.

Hence the equation is:

y = x² - x.

The roots of the quadratic equation are at x = 1 and x = 11, hence it can be written as follows:

y = a(x - 1)(x - 11)

Hence:

y = a(x² - 12x + 11)

When x = 2, y = -11/3, hence the leading coefficient a can be found as follows:

-11/3 = a(4 - 24 + 11)

9a = 11/3

a = 11/27

a = 0.4074.

Hence the equation is:

y = 0.4074(x² - 12x + 11).

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The coordinates points of intersection of the circle and the parabola are (1,6) and (-1,6).

The equation of the given circle is x²+y²=37

The equation of the given parabola is x²=y-5

To find the point of intersection of the parabola and the circle,

Putting the value of x²=y-5 in the equation of circle,

So, we get,

y-5+y²=37

y²+y-42=0

This is a quadratic equation, so using quadratic formula,

y = [-b±√(b²-4ac)]/2a

Here,

a = 1

b = 1

c = -42

y = [-1±√(1²-4(1)(-42))]/2(1)

y = [-1±√(1+168)]/2

y = [-1±13]/2

y = -14/2 and 12/2

y = -7 and 6.

Putting the values of y in x²=y-5,

We get,

x² = 6-5

x = ±1

And,

x²=-7-5

x²=-12

Not possible,

So, when y is 6, the value of x is ±1.

So the coordinate of point of intersection are (1,6) and (-1,6).

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Answer:

D. 135 degrees

Step-by-step explanation:

Angle x = 180 - 45

             = 135 degrees,   (adjacent angles are supplementary).