Julianne and Derek made signs for their school spirit week. Julianne made a sign that is 3 1/2 feet long. Derek made a sign that is 5/6 as long as Julianne’s sign. How long is the sign Derek made?

Answer:

one-half, 3/8, 1/4, 1/8.

Step-by-step explanation:

Fraction 3/8 is less than 5/8.

If we choose the numerator less than 5 and keep the denominator same, then we will get a fraction less than 5/8.

Lets choose 3, which is less than 5.

So the fraction 3/8 is less than 5/8.

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To find out how long it takes to earn $25 in interest on a principal of $500 at a 5% annual interest rate, use the simple interest formula. The calculation reveals it takes 1 year.

The question asks us to determine the time it takes to earn $25 in interest on a principal of $500 at an annual interest rate of 5% using simple interest. The formula for simple interest is Interest = Principal × Rate × Time. We can rearrange this formula to solve for time (Time = Interest / (Principal × Rate)).

Given that the interest earned is $25, the principal is $500, and the rate is 5% (0.05 in decimal form), we substitute these values into our rearranged formula to find the time.

Substituting these into the formula gives us:

Time = $25 / ($500 × 0.05) = $25 / $25 = 1 year

Therefore, it takes 1 year to earn $25 in interest at a 5% annual rate on a $500 principal using simple interest.

B) Translate 4 units down and rotate 180°

Rule for 180° = (x, y) ---- (-x, -y)

Pick one point on Triangle A. (I picked the pointiest point)

(-5, 6)

Now translate 4 units down.

You will now be on (-5, 2)

Rotate 180°

You will now have (5, -2)

And the pointiest point on Triangle B is (5, -2)

So, B is the correct answer.

Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

In order to determine the transformation that will map triangle A to B, we need to do the following:

If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)

We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

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[tex]\bold{Hey\ there!}\\ \\ \bold{9\frac{2}{3}=9\times3+2=27+2=29\rightarrow\frac{29}{3}}\\ \\ \bold{4\frac{1}{5}=4\times5+1=20+1=21\rightarrow \frac{21}{5}} \\ \\ \\ \bold{\bullet \ \frac{29}{3}- \frac{21}{5}} \\ \bold{\bullet \ 3\times5=15}\\ \bold{\bullet \ \frac{15\times0+82}{15}= 15\times0=0\rightarrow 0+82=82} \\ \bold{\bullet\ \boxed{\boxed{\bold{Answer:\frac{82}{15}\ \underline{or} \ 5\frac{7}{15}}}}}[/tex] [tex]\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

The value of 9 2/3-4 1/5 number is 5 7/15 .

To find the value of 9 2/3 - 4 1/5, we first need to convert each mixed number into an improper fraction. For 9 2/3, the improper fraction is (9 × 3 + 2)/3 = 29/3. For 4 1/5, the improper fraction is (4 × 5 + 1)/5 = 21/5.

Next, we need to find a common denominator to subtract these fractions. The least common multiple of 3 and 5 is 15, so we convert each fraction to have this common denominator. The first fraction becomes (29/3) × (5/5) = 145/15, and the second fraction becomes (21/5) × (3/3) = 63/15.

Now we can subtract the second fraction from the first: 145/15 - 63/15 = (145 - 63)/15 = 82/15. To convert this back into a mixed number, we divide 82 by 15 to get 5 with a remainder of 7, so the mixed number is 5 7/15.

Therefore, the answer is 5 7/15.

Answer:

£6,000 and  £15,000.

Step-by-step explanation:

This split works out to 2 fractions:  2 / (2 + 5) = 2/7 and  5/(2+5) = 5/7.

So the required amounts are £21,000 * 2/7 = £6,000 and 5/7 * 21,000

= £15,000.

Answer:

None of the above

Step-by-step explanation:

10 + 10 + 4 + 4 = 28

First choice

4 + 4 + 5 + 5 = 18 X

Second choice

8 + 8 + 3 + 3 = 22 X

Third choice

9 + 9 + 7 + 7 = 32 X

Therefore there is none that are the same.

Answer:

None of the above.

Step-by-step explanation:

A rectangle has one side that measures = 10 units

the another side that measures = 4 units

Perimeter = 2( Length + width )

Perimeter of this rectangle = 2( 10 + 4 )

                                             = 2(14) = 28 units

We have to find the same measurement units that shows the same perimeter.

1. 4 units 5 units

Perimeter = 2( 4 + 5 ) = 2 × 9 = 18 units

2. 8 units 3 units

Perimeter = 2( 8 + 3 ) = 2 × 11 = 22 units

3. 9 units 7 units

Perimeter = 2( 9 + 7 ) = 2 × 16 = 32 units

There are no another rectangle with the same perimeter.

Answer:

thank you

Step-by-step explanation:

Answer:

i mean its a pretty nice rock i'll give you that much lol

Step-by-step explanation:

Answer: 17

Step-by-step explanation: To find the radius of Q, you'd have to solve for x. So, 4x+3=7x-6, which results in x equaling 3. Next, bisect the chord EF, so it will be 8. Solve for QA, which is 15 and use the pythagorean theorem to solve: x^2=15^2+8^2 -> x=17

Answer:

a

Step-by-step explanation:

subsitute 3 as x

f(3) = (1/7) × (7^3)

f(3) = 1/7 × 343

f(3) = 343 ÷ 7

f(3) = 49

The required value of f(3) = 49.

f(x)= (1/7)(7^x)

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

f(x)= (1/7)(7^x)
f(3) = 1/7(7^3)

f(3) = 1/7 x 7³
f(3) = 7² = 49

Thus the required value for f(3) = 49

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To solve this take (83+1/3) times 10^-2 and then multiple that value by 375. The answer is 312.5

The answer is 311.25

Converting 83 1/3 to simple fraction we get

83 1/3 = 83

Now 83 % of 375 will be

83/100 * 375

= 311.25

Answer:

er

Step-by-step explanation:

Answer:

2.5 * 10^-5

Step-by-step explanation:

2.5 * 10^-5

If the number is between 1 and -1 excluding 0. Then

count the number of zeros

add 1 more

write the notation of where you put the decimal place

The power is minus and equal to the number of zeros + 1

0.000025

zeros: the number of zeros = 4

Add 1: 4 + 1 = 5

Decimal goes between the 2 and the 5

2.5

Power: = - 5

Answer: 2.5 * 10^-5

a.would be the best answer to me because base in the table is you look carefully.you would see that it is double by yen and it is a constant. rate of change a linear function. that is why I think it's the best answer.

Answer:

A

Step-by-step explanation:

It can not be B, because the statement in the reasoning is false.

Nor can it be C, the statement is irrelevant and unnecessary.

Nor D, it makes no sense.

It's A because it is true and makes sense.

The correct answer is (C) !

When you change the value of x, the result changes by 3 each time.

I think the answer is c

Answer:

They are all squared

Step-by-step explanation:

Answer:

All the powers have value of 0 because the exponent is zero

Step-by-step explanation:

Given the expression;

in the form 2³ ; The number 2 is called the base, and the number 3 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

In this case; All the powers have a value of Zero because the exponent of all the expressions is zero.

Answer:

Try D

Step-by-step explanation:

The numbers should always be whole, and if you're profiting, you'll never lose money. It should always be a positive number. Hopefully this helps! Good luck

Profit function have domain as set of all non-negative number thus domain of the profit function p(x)=20x-75 will be all non-negative integers so option (D) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given the profit function,

p(x)=20x-75

The graph of this function has been shown below which is representing the domain as (∞,∞) but in the our profit function x is the number of lawns that mowing so it will be a whole number and positive number.

Since domain is the set of all x's value thus it will be domain of the function.

Domian → [0,∞).

Hence "Domain of the profit function p(x)=20x-75 will be all non-negative".

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Answer:

1/4

Step-by-step explanation:

Let's find the value of c.

                              1         2^2        1

2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4

                             2^4          1         2^2

this result matches the fourth given possible answer choice.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]

It can be rewritten as:

[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]

By definition of power properties we have:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So:

[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]

Thus, [tex]c = \frac {1} {4}[/tex]

Answer:

Option D

not to sure on  how to tell you to answer this one but it looks like 4 inches :)

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)[/tex]

The pants are $38.06 and the television is $1,147.50.

The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06

The total cost is $35 + 3.06 = $38.06.

The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price

The sales tax is calculated by multiplying $1,062.50 x .08 = $85

The total price is $85 + $1,062.50 = $1,147.50

Answer:

X=1

Step-by-step explanation:

Solve for the vertex of the parabola: (v)

The axis of symmetry for a parabola will always be x=v.

Graphing the function shows the vertex at (1,-9) so the line denoting the axis of symmetry will be x=1.

Answer:

The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]

Step-by-step explanation:

∵ √24 = 2√6

∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]

∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]

∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]

Answer:

2.0*10^5 meters

Step-by-step explanation:

To answer this question, multiply

2.0*10^(-2) meters by 10 million, that is:

2.0

------ * 10*10^6 meters

10²

This expression simplifies to:

2.0*10^5 meters (which corresponds to answer D).

An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters.

An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters (D).

Answer:

The answer is D. 5

Step-by-step explanation:

Answer:

The side b is 5 units

Step-by-step explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]

[tex]\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}[/tex]

[tex]b^2=244-240\cos 24^{\circ}=24.7490901658[/tex]

[tex]b=4.97\sim 5units[/tex]

Answer:

2x - 8

Step-by-step explanation:

Product of two and a number x

⇒ 2 multiply by x

⇒ 2x

Eight less than 2x

⇒ Take away 8 from 2x

⇒ 2x - 8

Answer:7x-8 is the answer

Hope this helps!

Answer:

the first square that equals 625 goes to the 125 box

the second square that equals 81 goes to the 243 box

the third square that equals 32 goes to the 8 box

and the fourth square that equals 64 goes to the 256 box

Hope this helped :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.

If the long leg is 8, then the short one is 8/√3, or 8√3/3.

Therefore, the hypotenuse, which is double the short leg, is 16√3/3.

In a 30-60-90 triangle, the long leg is √3 times the short leg and the hypotenuse is twice the short leg. By knowing the long leg and using these relationships, we can work out the short leg and then the hypotenuse. In this specific problem, the hypotenuse of the triangle is approximately 9.24.

In a 30-60-90 triangle, the ratio of the side lengths is consistent. The length of the long leg is always √3 times the length of the short leg. The hypotenuse, which is the longest side of the triangle, is always twice the length of the short leg. If the length of the long leg is 8, the formula of this triangle can be used to find the length of the hypotenuse.

However, in your question, the length of the short leg isn't given. But based on the formulas for a 30-60-90 triangle, we can work it out. As long as we know that the long leg is √3 times the short leg, we can solve for the short leg, hence it's 8/√3.

Then, as the hypotenuse is twice the short leg, so hypotenuse = 2 * (8/√3) = 16/√3 ≈ 9.24.

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Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s