In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

Answer:

= and [tex]\leq[/tex] and [tex]\geq[/tex]

Step-by-step explanation:

Absolute value -9 is 9, but there is a negative sign so it is -9

-9=-9

Greater than or equal to works because of the equal sign.

Less than or equal to also works because of the equal sign.

Step-by-step explanation:

Notice it is not asking for an average rate, just her current rate. Approach this like this: say she is at the 29 mile "marker." In 3 hours, she gets to the 38th mile "marker." Therefore:

38-29 = 9, so in 3 hours, she went 9 miles.

9 miles/3 hours = 3 miles per hour, which would be equal to her current rate.

Answer:

The answer is Option 1

Step-by-step explanation:

[tex]\sqrt{10}[/tex] = approximately 3.16

3.16 is in between 3 and 3.5

Answer:

56/125

Step-by-step explanation:

Ok, so we know evaluate means to solve or to work out the situation. In this case we got 1.4•0.32. So, what we'll have to do is to solve this mathmatical equation 7/5 (1.4) • 8/25 (0.32) this in fractional form what we did is turnrf the decimal form of each reprecient of the problem into fractions. How to turn decimals in fractions is to simplify. Once, you've done that evaluate 7/5 and 8/25. This should get you 56/125.

Answer:

0.448

Step-by-step explanation:

Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

Answer:

When I work with function composition, I usually convert "( f o g)(x)" to the more intuitive " f (g(x))" form. This is not required, but I certainly find it helpful. In this case, I get:

(g o f )(1) = g( f(1))

This means that, working from right to left (or from the inside out), I am plugging x = 1 into f(x), evaluating f(x), and then plugging the result into g(x). I can do the calculations bit by bit, like this: Since f(1) = 2(1) + 3 = 2 + 3 = 5, and since g(5) = –(5)2 + 5 = –25 + 5 = –20, then (g o f )(1) = g( f(1)) = g(5) = –20. Doing the calculations all together (which will be useful later on when we're doing things symbolically), it looks like this:

(g o f )(1) = g( f (1))

  = g(2(   ) + 3)   ... setting up to insert the original input

  = g(2(1) + 3)

  = g(2 + 3)

  = g(5)

  = –(   )2 + 5    ... setting up to insert the new input

  = –(5)2 + 5

  = –25 + 5

  = –20

Note how I wrote each function's rule clearly, leaving open parentheses for where the input (x or whatever) would go. This is a useful technique. Whichever method you use (bit-by-bit or all-in-one), the answer is:

(g o f )(1) = g( f (1)) = –20

I just computed (g o f )(1); the composition can also work in the other order

Step-by-step explanation:

The value of a is 4.

Hence, a = 4

Here,

[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]

and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]

We have to find the value of a.

What is composite function?

Function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)).

Now,

[tex]f(x) = (5 - x)^3 and, g(x) = a + x^2,[/tex]

and [tex]f(g(x)) = (1 - x^{2} )^3[/tex]

⇒ [tex]f(g(x)) = f ( a + x^{2} )[/tex]

⇒ [tex]f ( a + x^{2} ) = ( 5 - a - x^{2} )^3[/tex]

And,

[tex]f(g(x)) = (1 - x^{2} )^3[/tex]

[tex]( 5 - a - x^{2} )^3 = ( 1 - x^{2} )^3\\[/tex]

Taking cube root both sides,

[tex]( 5 - a - x^{2} ) = ( 1 - x^{2} )\\ 5 - a - x^{2} = 1 - x^{2} \\a = 4[/tex]

Hence, The value of a = 4.

Learn more about the composite function visit:

https://brainly.in/question/14333427

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Answer:

  b)  f(3) is defined, but is not equal to the limit

Step-by-step explanation:

The portion of the function defined by the rational expression is equivalent to x/(x+3), which has a value of 1/2 at x=3. This is the limit of f(x) from the left or right as x approaches 3. However, the function is not defined at that point as 1/2. Rather, it is defined to be f(3)=1.

So, the limits at f(3) exist and are 1/2, but the function is defined as a different value there.

The only applicable statement is the second one.

Answer:

Step-by-step explanation:

x + 3 = -x - 5

2x + 3 = -5

2x = -8

x = -4

Answer: x=-4

Step-by-step explanation: first add x from both sides to turn it into 2x+3=-5. then subtract 3 from both sides for it to turn to 2x=-8. finally divide both sides by to to find x=-4

Answer:

∠B = 52°.

Step-by-step explanation:

Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.

Since ∠A and ∠B are vertical angles. So, there measure are equal.

[tex]m\angle A=m\angle B[/tex]

[tex](8x-4)^{\circ}=(7x+3)^{\circ}[/tex]

[tex]8x-4=7x+3[/tex]

[tex]8x-7x=4+3[/tex]

[tex]x=7[/tex]

Now,

[tex]m\angle B=(7(7)+3)^{\circ}[/tex]

[tex]m\angle B=(49+3)^{\circ}[/tex]

[tex]m\angle B=52^{\circ}[/tex]

Therefore, the measure of ∠B is 52°.

Answer:

2 1/2

Step-by-step explanation:

Answer:

Set 16/2000 = x/5000 and solve for x. = 40 trees saved.

Step-by-step explanation:

Answer: the answer would be 42.5 but i’m assuming that you would round.

Step-by-step explanation:

2000/ 17 = 5000/ x

cross multiply

85,000 = 2,000x

simplify(divide by 2000)

x= 42.5

Answer:

C

Step-by-step explanation:

It is a function because it passes the vertical line test and Xs do not repeat, then count out the Y-values which are the range.

Answer:

20,136

Step-by-step explanation:

Follow My  -Tae.Nevacared 7777

Answer:

I hope the above pic will help you :)

Answer:

The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Answer:

[tex]( - 4.6) + (3. - 7) = 0.6[/tex]

By the distance formula,

[tex]d = \sqrt{( x_2 - x_1) {}^{2} + (y_2 - y_1 {)}^{2} }[/tex]

Here,

[tex]x_1 = -4[/tex]

[tex]y_1 = 6[/tex]

[tex]x_2 = -7[/tex]

[tex]y_2 = 3[/tex]

Hence,

[tex]d = \sqrt{( {(-7 )+(- 4))}^{2} + {( 3 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(-11)}^{2} + {9}^{2} } [/tex]

[tex]d = \sqrt{121+ 81} [/tex]

[tex]d = \sqrt{202} [/tex]

Answer:

[tex]27x - 15[/tex]

Step-by-step explanation:

When we apply the distributive property, we multiply all the terms inside the parentheses by the term directly outside of it.

So:

[tex]9x \cdot 3 = 27x[/tex]

[tex]-5 \cdot 3 = -15[/tex]

Putting these together, we get [tex]27x-15[/tex].

Hope this helped!

Answer:

x > 2

Step-by-step explanation:

5x +  1/3 * (3x + 6) > 14

5x + x + 2 > 14

6x + 2 > 14

6x > 12

x > 2

Answer:

x>2

Step-by-step explanation:

6x+2>14

6x>12

x>2

hope this helped a bit

Answer:

[tex]x = -\frac{2}{21}[/tex]

hope that helped ;w;

Answer:

32 is composite and the rest are not. Hope this helps!

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

2 times x = 2x and 2 time 9 is 18 so the equation is 2x-18=10. then you add 18 to both sides and get 2x=28 then simplify to x=14

Answer:

x=14

Step-by-step explanation:

2(x-9)=10

Step one - Simplify both sides

(2)(x)+(2)(-9)=10 (distribute)

2x+-18=10

2x-18=10

Step two - Add 18 to both sides

2x-18+18=10+18

2x=28

Step three - Divide both sides by 2

2x÷2 = 28÷2

x= 14

Answer:

x=14

Answer:

27/50

Step 1 Remove the decimal and write the given number divided by 1

Step 2 After decimal how many digits are there write that much 0 after 1

Step 3 Then Simplify or reduce the fraction

Answer:

here you go! 36

Step-by-step explanation:

Answer:

aqui esta la respuesta espero que te ayude

Answer:

G. $9,200

Step-by-step explanation:

average depreciation = (amount of depreciation)/(number of years)

The amount of depreciation is the difference between the new cost and the current value.

amount of depreciation = $85,600 - $30,400 = $55,200

number of years = 6

average depreciation = (amount of depreciation)/(number of years)

average depreciation = ($55,200)/(6 years)

average depreciation = $9,200/year

Answer: G. $9,200

Answer:

Google mid point formula and plug in your variables

Step-by-step explanation:

hope this helps :)

Answer:

what im thinking is $65

Step-by-step explanation:

Answer: 1/2 power of 5 aight

1/2+1/2+1/2+1/2+1/2= 2 1/2

Step-by-step explanation:

1/2⁵ = 1/2 × 1/2 × 1/2 × 1/2 × 1/2 × 1/2

1/2⁵ = 1/64