A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredth.

Answer:

[tex]\sqrt[4]{7.5^{4} }[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]7.5^{1.25}[/tex]

= [tex]7.5^{\frac{5}{4} }[/tex]

= [tex]\sqrt[4]{7.5^{4} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.

Given

[tex]7.5^{1.25}[/tex]

We can write 1.25 is [tex]\frac{5}{4}[/tex]

[tex]7.5^{\frac{5}{4} }[/tex]

Using the rule of exponents/radicals

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

[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

Find out more information about rule of exponents here

https://brainly.com/question/14513824

#SPJ2

Answer:

11

Step-by-step explanation:

7 + 4 = 11

Answer:

11

Step-by-step explanation:

If a = 7, then a + 4 = 7 + 4 = 11

Hope that this helps!

Answer:

AC ≈ 5.5

Step-by-step explanation:

Angle bisector theorem states that "angle bisector of an angle divides the opposite side into two segments which are proportional to the other two sides of the triangle."

By applying this theorem in the given ΔABC,

AD is the angle bisector of ∠CAB which divides the opposite side of the angle into two segments BD and CD.

Therefore, [tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]

[tex]\frac{5.1}{4}=\frac{AC}{4.3}[/tex]

[tex]AC=\frac{5.1\times 4.3}{4}[/tex]

AC = 5.4825

AC ≈ 5.5 units

Answer:

189 seconds

Step-by-step explanation:

16% shorter,

Left side first and second group is 2.5% and 13.5% = 16%

189 is the max of that group

16% of videos on the streaming site are shorter than 189 seconds.

To determine the length at which 16% of videos are shorter, we can use the properties of a normal distribution.

Given that the mean length is 264 seconds and the standard deviation is 75 seconds, we can use a Z-score to find the corresponding percentile.

First, we need to find the Z-score associated with the 16th percentile. This can be done using a Z-table or a statistical calculator. The Z-score corresponding to the 16th percentile is approximately -0.9945.

Using the formula for Z-score:

Z = (X - μ) / σ,

where X is the length of the video, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for X:

X = Z * σ + μ.

Substituting the values:

X = (-0.9945) * 75 + 264,

X ≈ 189 seconds.

Therefore, approximately 16% of videos on the streaming site are shorter than 189 seconds. So, the correct answer is 189 seconds.

To know more about shorter click here :

https://brainly.com/question/14993049

#SPJ2

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Answer:

(1/2, 19/4)

Step-by-step explanation:

So the formula is y=-b/2a.

a= 1

b= -1

Plug in the values to get x=1/2.

you then plug in 1/2 to get the y

you end up with 19/4.

Your vertex ends up as (1/2, 19/4).

hope this helped!!

Answer:

82.5 kilometers

Step-by-step explanation:

15×5.5= 82.5 kilometers

Answer:

v=pi.r^2.h

1728=3.14*22r^2

1728/69.08=r^2

r^2=25.0144

r=5

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

Answer:

pecuniary purveyors organization irreversible

Answer:

its A

Step-by-step explanation:

The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that:

Weight/Calories   1000-1500   1500-2000 2000-2500    Total

per Day              

120 lb.                        90            80      10        180

145 lb.                        35            143       25        203

165 lb.                        15             27         75         117

Total                       140            250        110       500

Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110

And, Total = 500

Now the probability that a person consumes 2,000 to 2,500 calories in a day :

⇒ 110 / 500

⇒ 0.22

Hence  the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ7

Answer:

CosA = 4/5

Step-by-step explanation:

The acute angle with cosine of 4/5

Recall from trigonometry ;

Cosine = Adjacent / hypotenus

From the right angled triangle Given:

For angle A :

Opposite = BC = 8

Hypotenus = AC = 10

Cos A = BC / AC = 8 /10 = 4 /5

CosA = 4/5

For C :

Opposite = AB = 6

Hypotenus = AC = 10

Cos C = 6 /10 = 3 /5

Answer:

-1 , -6

Step-by-step explanation:

Let x be the first number and let y be the second number.

x * y = 6

x + y = -7

Let's first find the factor pairs of 6.

1, 6

2, 3

-1, -6

-2, -3

Now, we just need to take each factor pair and add them together and see which one equals -7.

1 + 6 = 7, so that is wrong.

2 + 3 - 5, so that is also wrong.

-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).

Therefore, our answer is -6 and -1.

Answer:

11 hours

Step-by-step explanation:

819 miles/13 hours = 63 mph

693 miles/63 mph = 11 hours

Answer:

Iran

Step-by-step explanation:

Answer:

Iran

Step-by-step explanation:

Empire that dominated Mesopotamia from about 550 to 330 BCE. Most of the ancient Persian empire is in modern-day Iran.

If this helped, please give brainliest!

Answer: the dark blue one

Step-by-step explanation:

Answer:

okay shdirnsjsjjsjjddjdjjdjdjjdddjd

Answer:

A

Step-by-step explanation:

Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:

(2, 4) -> (2, -4)

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/10 ÷ 4/5

Copy dot flip

3/10 * 5/4

Rewriting

3 /4 * 5/10

3/4 *1/2

3/8

Answer:

B

Step-by-step explanation:

flip the 4/5 to 5/4 and multiple instead of divide to give you

= 3/10 x 5/4

Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you

= 15/40

SImplify and your answer is

= 3/8

Answer:

8

Step-by-step explanation:

first you put the data in order :

2 , 4 , 6 , 8 , 8 , 9 , 10

then the middle number in the data is the median which in this case is 8 ( if you've got 2 middle numbers then you add both of them and divide by 2 )

Answer:

x =10

Step-by-step explanation:

angles are equivalent

170 = 2x + 6x + 90

170 - 90 = 8x +90 - 90

80 = 8x

10 = x

Answer:

D

Step-by-step explanation:

With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.

A is incorrect as it is possible to land heads on any flip.

B is incorrect as there is always a possibility of landing tails on every flip.

C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.

Hence D is the answer.

Answer:

4.189 radians

Step-by-step explanation:

Given data

θ=240 degrees

Let us convert from  degrees to radians

Angle in Radian= Angle in degree* π/180

Substitute

Angle in Radian= 240* π/180

Angle in Radian= 4* π/3

Angle in Radian= 4* 3.142/3

Angle in Radian=12.568/3

Angle in Radian=4.189 radians

The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.

First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:

g(x) =f(x) + N

Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.

In this case, we start with the parabola:

y = f(x) = x^2 - 1

Now we know that the transformed function is:

y = g(x) = x^2 + 6

Now, notice that if we apply a translation upwards of 7 units of the original function we will get:

y = f(x) = x^2 - 1 + 7 = x^2 + 6

We got the transformed function.

Then the effect on the parabola is a translation of 7 units upwards.

Learn more about translations by reading:

https://brainly.com/question/24850937

#SPJ1

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]H = 21[/tex]

[tex]T = 9[/tex]

See attachment for complete question

Required

[tex]P(H)[/tex]

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

[tex]S =\{H,T\}[/tex] --- sample space

[tex]n(S) = 2[/tex] --- sample size

[tex]n(H) = 1[/tex] --- occurrence of Head

So, the theoretical probability is:

[tex]Pr = n(H)/n(S)[/tex]

[tex]Pr = 1/2[/tex]

[tex]Pr = 0.50[/tex]

Answer:

Number of year = 17 year 4 month (Approx.)

Step-by-step explanation:

Given:

Current amount = $500

Future amount = 2 x 500 = $1,000

Rate of interest = 4%

Find:

Number of year

Computation:

Rate [Monthly] = 4% / 12 = 0.00333

Total time = 12 x n = 12n

A = P[1+r]¹²ⁿ

1000 = 500[1+0.003333]¹²ⁿ

2 = [1+0.003333]¹²ⁿ

2 = [1.003333]¹²ⁿ

Number of year = 17.358

Number of year = 17 year 4 month (Approx.)

Answer:

As decimal 20.5833333333

As fraction [tex]20[/tex] [tex]\frac{7}{12}[/tex]

mark me as brainliest if right :)

Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.