Mathematics College

rename the number.. 24 ten thousands

Answers

Answer 1
24 ten thousands is 24,000

Related Questions

7x2+3[81-(4x6)]
Simplify

Answers

7x2+3[81-24]
7x2+3-57
14+3-57
17-57
-40

The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to find the area of the rectangle

Answers

44-20=20 square inches

Answer:

The equation is:  x + 20 = 44

The area of the rectangle is 24 inches.

Step-by-step explanation:

The total area of the shape is 44 square inches.

The area of the triangle is 20 square inches.

We need to find the area of the rectangle.

Total area = Area of the triangle + Area of the rectangle.

Let "x" be the area of the rectangle.

So the equation is

44 = 20 + x

This can be written as x + 20 = 44

Now let's find the value fo x.

Subtract 20 from both sides, we get

x + 20 - 20 = 44 - 20

x = 24 square inches.

Therefore, the area of the rectangle is 24 inches.

how do i find the range and domain? please leave detailed steps because i'm struggling with this :(

Answers

check the picture below.

so, mount Rainier is 5400 feet above sea level, and the hiker is going from there, to mount Muir.

now, at 0 hours, the hiker is 5400 feet above sea level, because is on mount Rainier, and every "t" hour passing by, she's going up, according to the equation, 1000 feet, so she does 1000 feet every passing hour.

the domain, INPUT, is from 0, up to whatever long it takes her to get to mount Muir, so from 5400 to 10,100 is 4700 feet, now, she does 1000 every hour, so is 4 hours and 0.7 or 42 minutes, so she'd take 4 hours and 42 minutes.

So the domain will be, from the time she starts at 0 up to 4.7 hours or 4hr and 42mins later.  And in interval notation [0, 4.7].

The range, is how much she went up, well, we checked the difference already, is 4700 feet, so it went from 5400 to 10,100, so the range is just that, 4700 feet, or in interval notation [5400, 10,100]

lynne took a taxicab from her office to the airport. she had to pay a flat fee of $2.05 plus $0.90 per mile. the total cost was $5.65. how many miles was the taxi trip?

Answers

2.05 + 0.90m = 5.65
0.90m = 5.65 - 2.05
0.90m = 3.60
m = 3.60 / 0.90
m = 4 <=== the taxi trip was 4 miles

The distance traveled by the taxi on trip is 4 miles.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Flat fee of a taxicab = $2.05

Fees per mile = $0.90

The total cost = $5.65

Distance traveled by the taxi on trip is

⇒ [tex]\frac{5.65-2.05}{0.90}[/tex]

⇒ [tex]\frac{3.60}{0.90}[/tex]

⇒ [tex]4[/tex]

Hence we can conclude that the distance traveled by the taxi on trip is   4 miles.

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can someone please help me

Answers

If we have y = f(x), then vertically stretching that by a factor of k gives y = k*f(x) as the new function. This means we simply stick a 3 in front of the 2^x to get our answer. 

Answer: Choice C) g(x) = 3*2^x

The sales tax for an item was $24.50 and it cost $350 before tax. Find the sales tax rate.

Answers

Find the number that when multiplied with 350 will give you 24.5. This number happens to be .07 or in terms of sales tax, 7%.

To determine the sales tax rate, divide the sales tax amount by the item's pre-tax cost and convert to a percentage, yielding a 7% sales tax rate for this scenario.

To find the sales tax rate, you need to divide the amount of sales tax by the cost before tax and then convert it to a percentage. For an item that cost $350 before tax and had a sales tax of $24.50:

Divide the sales tax ($24.50) by the cost before tax ($350): $24.50 \/ $350 = 0.07.

Convert the decimal to a percentage: 0.07 x 100 = 7%.

Therefore, the sales tax rate for the item is 7%.

Suppose a box contains 10 red balls, 10 green balls, and 10 orange balls. you will be choosing 3 balls from the box without replacement. 13. what is the probability of drawing an orange on the first draw and a red on the second draw?

Answers

.05


chance of getting orange on the first and red on the second

A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 303 million.

Answers

A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year. Population of the country is 303 million. Specific consumption, = ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months) =1.8 pounds/(months*persons)

Final answer:

To find the candy consumption per person per month, divide the total consumption of candy by the population and then divide by 12 months. The calculation shows that each person consumes approximately 1.815 pounds of candy per month.

Explanation:

To calculate the amount of candy consumed per person per month, we first need to divide the total annual consumption by the population of the country. The total annual consumption is 6.6 billion pounds of candy, and the population is 303 million people. So, the annual consumption per person is:

(6.6 billion pounds) / (303 million people) = 21.78 pounds/person/year.

Now, to find the monthly consumption per person, we divide the annual consumption per person by 12 (months in a year):

(21.78 pounds/person/year) / (12 months/year) = 1.815 pounds/person/month.

Therefore, each person in the country consumes approximately 1.815 pounds of candy per month.

Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression.
(tan 45° + tan 60°)2

Answers

tan45° = 1
tan60° = √3

(tan45° + tan60°)²  
= (1+ √3)²
= 1 + 2√3 + 3
= 4 + 2√3   ←  answer

Out of 25 students in mrs. Green class 19 have a pet what percent of students in mrs. Green class don't have a pet

Answers

25 is our base, so, we need to find out what 19 out of 25 is what percentage. Let's just start with something a little small, like 30%
(We can experiment with different percentages using our trusty calculator)

30% of 25 = 7.5

We are way off, we need to bring it a bit higher if it is to reach 19. Let's try 67%

67% of 25 = 16.75

Not quite but close, lets try something a bit higher, like 76%.

76% of 25 = 19

So, 19 out of 25 is 76% all we need to do now is subtract that from 100 to get the remaining percentage.

100 - 76 = 24


24% of the students don't have a pet. :D
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Use distributive property and mental math to find the product

7x49

Answers

we remember that the distributive propert is a(b+c)=ab+ac

2 ways we can do this is to write 49 as either 40+9 or 50-1

if we do 40+9
7(49)=7(40+9)=7(40)+7(9)=280+63=343

if we do 50-1
7(49)=7(50-1)=7(50)+7(-1)=350-7=343

​1/5 of the animals at a zoo are monkeys. 5/7 of the monkeys are male. What fraction of the animals at the zoo are male monkeys?

Answers

I think it is 1/7 I hope this helps

Answer : The fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]

Step-by-step explanation :

As we are given that:

Fraction of animals at a zoo are monkeys = [tex]\frac{1}{5}[/tex]

Fraction of monkeys are male = [tex]\frac{5}{7}[/tex]

So,

Fraction of the animals at the zoo are male monkeys = Fraction of animals at a zoo are monkeys × Fraction of monkeys are male

Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{5}\times \frac{5}{7}[/tex]

Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{7}[/tex]

Thus, the fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]

14+3n=8n-3(n-4) this is really hard please help me

Answers

14+3n=8n-3(n-4)
distribute
14+3n=8n-3n+12
add like terms
14+3n=5n+12
subtract 3n from both sides
14=2n+12
subtract 12 from both sides
2=2n
divide both sides by 2
n=1
Hope this helps!!

Is the difference of two rational numbers always rational? Explain

Answers

The product of two integers is an integer; the difference of two integers is an integer; a rational is defined as one integer divided by another non-zero integer. 

the diference of two numbers is always rational

A woman who is 64 inches tall has a shoulder width of 16 inches. Write an equation relating height to the width. Find the height of a woman who has a shoulder width of 18.5 inches.

Answers

64in/16in = x/18.5
64•18.5= 1184
1184/16x= 16x/16x
1184/16x
x= 74 in

The height of woman who has a shoulder width of 18.5 inches is 74 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the height of a woman who has a shoulder width of 18.5 inches be = A

Now , the equation will be

The height of the woman be = 64 inches

The shoulder width of the woman be = 16 inches

So , the equation will be

Let the height of a woman who has a shoulder width of 18.5 inches be = 18.5 x ( height of the woman be / shoulder width of the woman )

Substituting the values in the equation , we get

The height of a woman who has a shoulder width of 18.5 inches be A =
18.5 x ( 64 / 4 )

The height of a woman who has a shoulder width of 18.5 inches be A =

18.5 x 4

The height of a woman who has a shoulder width of 18.5 inches be A =

74 inches

Therefore , the value of A is 74 inches

Hence ,

The height of woman who has a shoulder width of 18.5 inches is 74 inches

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What is .0091 rounded to thousands?

Answers

.009 is the correct answer

The crime rate in New York City has been steadily dropping over the past decades. In 1970, the murder rate was 15.8 per 100,000 people. In 2012, it had dropped to 3.5 per 100,000 people. What was the rate of decline?

Answers

[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \begin{array}{ccll} \stackrel{period}{year}&\stackrel{per~10000}{crime}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1970&15.8\\ 2012&3.5 \end{array} \implies \cfrac{f(b)-f(a)}{b-a}\implies \cfrac{3.5-15.8}{2012-1970}\implies -\cfrac{12.3}{42} \\\\\\ -0.2929\frac{\stackrel{per~10000}{crime}}{year}[/tex]

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)

Answers

Given that the iq scores for large populations are centered at 100.

To get what percent of these 78 students have scores above 100 we conduct a normal distribution probability of the data.

P(x > 100) = P(z > (100 - 100)/sd) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 0.5 = 50%

Find dy/dx
√(x+y) = x - 2y

Answers

[tex]\bf \sqrt{x+y}=x-2y\implies (x+y)^{\frac{1}{2}}=x-2y \\\\\\ \cfrac{1}{2}(x+y)^{-\frac{1}{2}}\left(1+\frac{dy}{dx} \right)=1-2\frac{dy}{dx} \implies \cfrac{1+\frac{dy}{dx} }{2(x+y)^{\frac{1}{2}}}=1-2\frac{dy}{dx} \\\\\\ 1+\frac{dy}{dx} =2(x+y)^{\frac{1}{2}}-2(x+y)^{\frac{1}{2}}\cdot 2\frac{dy}{dx} \\\\\\ 1+\frac{dy}{dx} =2(x+y)^{\frac{1}{2}}-4(x+y)^{\frac{1}{2}}\frac{dy}{dx} \\\\\\ \frac{dy}{dx}+4(x+y)^{\frac{1}{2}}\frac{dy}{dx} =2(x+y)^{\frac{1}{2}}-1[/tex]

[tex]\bf \cfrac{dy}{dx}\left[ 1+4(x+y)^{\frac{1}{2}} \right]=2(x+y)^{\frac{1}{2}}-1\implies \cfrac{dy}{dx}=\cfrac{2(x+y)^{\frac{1}{2}}-1}{1+4(x+y)^{\frac{1}{2}} } \\\\\\ \cfrac{dy}{dx}=\cfrac{2\sqrt{x+y}-1}{1+4\sqrt{x+y}}[/tex]

what is the y intercept of c=0.05m+4.95

Answers

The y intercept is where m=0. Hence, set m=0 and solve for c:
c=0.05(0)+4.95
c=4.95

Is 0.5 equal to 9/18

Answers

Yes because 0.5 into fraction is 5/10 then you can simplify it by 5 then the answer would be 1/2. For 9/18 you need to simplify it which is 1/2
yes, 9/18 simplified equals 1/2 which is 0.5 as a decimal

A population has a mean of 40 and a standard deviation of 15. a sample of size 100 is taken at random from this population. the standard deviation of the sampling distribution of sample mean equals:

Answers

Theirs alot of people in this world so watch out.

Pre Calc question please help!

Answers

see attached picture for answer:

In Christopher Marlowe's The Tragical History of Doctor Faustus, why did Faustus begin to believe that human salvation was impossible? Faustus first began to believe that human salvation was impossible because In addition, he had

Answers

In Christopher Marlowe's The Tragical History of Doctor Faustus, Faustus began to believe that human salvation was impossible because he read the scripture and saw that all human beings sin and are doomed. He thought that this meant that no matter how you lived your life, and how much you tried to be a good person, in the end you would still sin and thus God won't forgive you. This is why he consciously gave in to sin. 

In addition, he had been misled by Mephastophills, who caused him to misread the scriptures. Mephastophills is the Devil, and obviously the Devil won't tell the truth because he wants to collect more souls to torture in his realm. Faustus fell for his tricks and was mislead to misinterpret the scriptures, which lead to him losing his soul ultimately. 

Answer:

he read the scripture and saw that all human beings sin and are doomed

Step-by-step explanation:

A small piece of metal weighs 0.77 gram. What is the value of the digit in the tenths place

Answers

70 hundredths of a gram
0.7 is the value hope this helps

Solve the system by substitution . 2x+y=-11 3x-4y=11
(3,5)
(-5,-3)
(-3,-5)
(5,3)

Answers

2x + y = -11
y = -2x - 11

3x - 4y = 11
3x - 4(-2x - 11) = 11
3x + 8x + 44 = 11
11x = 11 - 44
11x = - 33
x = -33/11
x = -3

y = -2x - 11
y = -2(-3) - 11
y = 6 - 11
y = - 5

solution is (-3,-5) <==

Round to the nearest hundred thousand
89, 659

Answers

it would be 100,000 because 89 is closer to 100

Answer:

The nearest hundred thousand of the provided number is 100,000.

Step-by-step explanation:

Consider the provided number 89, 659

According to place value.

Hundred Th.   Ten Th.   Thousands   hundreds   Tens   Ones

   100,000       10,000        1000             100           10         1

We need to round it to the nearest hundred thousand.

The provided number can be written as 089,659

The digit at the hundred thousand place is 0.

The rule of rounding a number is:

If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.

If 5, 6, 7, 8, or 9 follow the number, then rounding digit rounds up by one number.

Here, the number at the ten thousands place is 8, so to round up the number increase the digit of hundred thousand place by 1.

The digit at the hundred thousand place is 0 so increase it by 1.

Thus, the number can be rounded to the nearest hundred thousand is shown as:

100,000

The nearest hundred thousand of the provided number is 100,000.

the sum of three consecutive even numbers is 42. The sum can be represented by the equation n+(n+2)+(n+4)=42. what does n represent

Answers

if you simplify the equation by adding the like terms, you get 3n+6=42
Then you can subtract 6 from each side
3n=36
Divide each side by 3
n=12

Give the derivative of f(x) = arctan(e^(5x)) at the point where x=0

Answers

[tex]f(x)=\arctan e^{5x}[/tex]
[tex]f'(x)=\dfrac{(e^{5x})'}{1+(e^{5x})^2}=\dfrac{5e^{5x}}{1+e^{10x}}[/tex]
[tex]f'(0)=\dfrac5{1+1}=\dfrac52[/tex]
Final answer:

The derivative of f(x) = arctan(e^(5x)) at x=0 is 2.5, using chain rule and the derivative of the arctan function.

Explanation:

The function given is f(x) = arctan(e^(5x)). To find its derivative at the point where x=0, we have to use the chain rule and the derivative of the arctan function.

Firstly, the derivative of arctan(u) is 1 / (1 + u^2). Therefore, if u = e^(5x), then the derivative of arctan(e^(5x)) is: 1 / (1 + (e^(5x))^2).

Secondly, because u = e^(5x), the derivative of u is 5e^(5x). We incorporate this using the chain rule to get the derivative: 5e^(5x) / (1 + (e^(5x))^2).

Finally, substitute x=0 into the derivative equation. We find that the derivative of the function at x=0 is: 5 / (1 + 1) = 2.5.

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Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.

Answers

The unit rate is 10mph 
[tex]\bf \cfrac{\frac{5}{2}~miles}{\frac{1}{4}~hr}\implies \cfrac{5~miles}{2}\cdot \cfrac{4}{1~hr}\implies \cfrac{5\cdot 4~miles}{2\cdot 1~hr}\implies \cfrac{20~miles}{2~hr}\\\\\\ 10\frac{miles}{hr}[/tex]
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