joseph biked 1/4 mile in 90 seconds. Of he continued at this rate, how far did joseph bike in one hour?

Answer:

0.015 m²

Step-by-step explanation:

Since we need the area in square meters, we need to first convert our centimeter values into meters.

[tex]\frac{1m}{100cm} =10cm[/tex]

1 · 10 = 10
10/100 = 0.1 m

[tex]\frac{1m}{100cm} =15cm[/tex]

1 · 15 = 15
15/100 = 0.15 m

The area of a rectangle is a = l · w. Plugging in the given values, we get:

a = 0.1 × 0.15

a = 0.015 m²

hope this helps!

Answer:

Equation B is the same as Equation A + 2

Step-by-step explanation:

To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.

Equation B: 5x+x=x-4.

Equation A: 5x-2+x=x-4.

Simplifying equation A to be in the form of equation B:

5x -2 + x = x - 4

Adding 2 to both sides:

5x + x -2 + 2 = x - 4 + 2

5x + x = x - 4 + (+2)

= equation A + 2

But 5x+x=x-4 = equation A

Therefore Equation B is the same as Equation A + 2

The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions

The functions are given as:

f(x) = log(x)

f(x) = log(x - h) + k

From the graph of both functions, we have the following highlights:

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Answer:

horizontal shift to the right,

horizontal shift to the left,

vertical shift up,

vertical shift down.

Step-by-step explanation:

The number of ways to elect a Chair and a Vice Chair is 156.

Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:

As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.

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Answer:The number of ways to elect a Chair and a Vice Chair is 156.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A=a+b/2 x h

4 = a

5 = b

8 = h

4 + 5 / 2 = 4.5

4.5 x 8 = 36

So the other base length is 5

the standard form of that graph is ax squared +bx+c

Answer:

6.54498

Step-by-step explanation:

The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.

The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not given, then we can estimate it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.

We're provided that:

Thus, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]

Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

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Answer: I got you

The values are:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Step-by-step explanation: Hope this helps

The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.

From the information, the denominator and numerator of the first term are multiplied by x.

The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.

The common factor x can be factored out of the denominator of the second term which gives ...

[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]

Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...

[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]

Writing the sum over the common denominator, we have;

[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]

Collecting terms in the numerator gives ...

[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]

Finally, canceling the common factor we get;

1/(x-6)x

The values of the letters are;  a=6, b=2, c=6, d=2, e=6, f=6, g=1

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Answer:

x= 2, x= -12

Step-by-step explanation:

cuz i said so

first move the 24 to the other side of the equation by subtracting it from both side's

now the equation looks like this

x^2+10x-24

then find values that add to equal 10 and that also multiply to equal -24

this works out to (x-2) (x+12)

which means that x is equal to 2 and -12

Answer: The three consecutive even numbers are 22, 24, 26

22+24+26 = 72

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

Explanation:

For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.

However 12+14+18 = 44 is not 72 like we want.

You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.

(first) + (second) + (third) = 72

(x) + (x+2) + (x+4) = 72

3x+6 = 72

3x = 72-6

3x = 66

x = 66/3

x = 22

So we have,

As a check: 22+24+26 = 72 which verifies the answers.

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099

The equation of k is 13/7.

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. LHS = RHS is a common mathematical formula.

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:

7k+17=30

Now, solving for k

Subtract both side 17

7k + 17 - 17 = 30 - 17

7k = 13

k= 13/7

Hence, the equation of k is 13/7.

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Answer:

d) 729cm^3

Step-by-step explanation:

Length =27cm

Width = 1/3 of length

= 1/3 of 27cm = 1/3 × 27cm = 9cm

Height = 1/3 of width

= 1/3 of 9cm = 1/3 × 9cm = 3cm

So, length = 27cm; width = 9cm; height = 3cm

So, volume = length × width × height

= 27cm × 9cm × 3cm = 729cm^3

Answer:

So what? Please tell the full question

Answer:

Write your question.

Step-by-step explanation:

We're waiting...

Answer:

whats the question?

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]

[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]

Sum of first 15 odd nos

Answer:

the question is asking what it is the segment between HB,HG and CG

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

3 green   for  5   red

then   3 out of (3+5)   are green   ... or  3/8 are green

3/8 * 160 = green         = 60 green

Answer:

60 green candies

Step-by-step explanation:

We know the proportion :

Let's make a linear equation where candies is denoted by x.

Number of green

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

Answer:

A pie in maths have a degree of 360 degrees

Answer:

1:8

Step-by-step explanation:

First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.

Answer:

40 ounces.

Step-by-step explanation:

Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.

2.5 * 16 = 40

Therefor, the lion cub weighs 40 ounces.

Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textbf{GUIDE to remember: }[/tex]

[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]

[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]

[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

Proportional relationships are relationships between two variables where their ratios are equivalent.

Inverse variation It is expressed as;

x ∝ 1/r then x = k/y

Where k is the proportionality constant.

Given the data in the question;

First we find the proportionality constant.

x = k/y

4 = k / -9

k = -36

Now, If x = 6 then y = ?

x = k/y

6 = -36 / y

6y = -36

y = -36 / 6

y = -6

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

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Answer:

a2−b2=(a−b)(a+b) is correct.

Step-by-step explanation:

(a+b)3=a3+3a²b+3ab²+b3

(a−b)3=a3-3a²b+3ab²−b3