what is 71 3/7% equal to in simplest form?

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

Answer:

107

Step-by-step explanation:

f(x)=7x^(2)-5

f(4) means that x=4

f(4)=7*4^(2)-5

    = 7 * 16 -5

    = 112 -5

    = 107

Answer:

(0,3) (3,5)

Step-by-step explanation:

You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).

Equation: y = 2/3x + 3

Perpendicular slope is opposite sign reciprocal i.e. -3/2

Equation: y = -3/2x + 3

points on graph (0,3) (2,0)

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

100%

Answer: The answer is (4, 600)

Step-by-step explanation:

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

We get the following answers;

(a) The necessary histogram has been created and is supplied below.

(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.

Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.

Step 2:

Table :

Miles from home          % of accidents      Cumulative

Less than 1                               23                        23

1 to 5                                         29                        52

6 to 10                                       17                         69

11 to 15                                       8                          77

16 to 20                                     6                         83

over 20                                     17                        100

(a) the required histogram is made and attached below.

(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.

Hence we get the required answers.

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Answer:

Subtraction property of equality

Step-by-step explanation:

In mathematics that are various types of properties that can be used to solve for questions

In the above question:

If 3x - 14 = 12

then 3x = 26

The property that is applied here is the Subtraction property of equality.

The subtraction property of equality states that when we subtract from one side of and algebraic expression, we must subtract from the other side

a = b

a - c = b - c

a = 3x

b = 26

c = 14

3x = 26

3x - 14 = 26 - 14

then 3x - 14 = 12

Midpoint formula: (x1 + x2)/2 , (y1 + y2)/2

Midpoint AB = (3 +-5)/2, (3 + 7)/2 = -2/2 , 10/2 = (-1,5)

Midpoint CD = (2 +9)/2, (11 + -2)/2 = (11/2,9/2)

a) 8 days b) 101 miles

1) Considering the function:

2) Note that "d" stands for days, and "L" is the length. Based on that, we can plug into the function.

a) Let's plug into L, the number of paved miles, and then solve it for d

So the crew has been paving the road for 8 days

b) Similarly, we're going also to plug into that d=12 to find the length

Note that, the crew has left to pave after 12 days, 101 miles.

Notice that the variable L always provides the remaining number of miles to be paved.

3) Hence, the answer is a) 8 days b) 101 miles

Answer:

they left at 12:34

Step-by-step explanation:

I did the math

9514 1404 393

Answer:

  12:33 pm

Step-by-step explanation:

Often, problems involving addition and subtraction of time values are best worked in 24-hour "military" time.

Here, we want to know the time that is 2:36 before 3:09 pm. We can write 3:09 pm as 15:09. Then the difference is ...

  starting time + travel time = ending time

  starting time = ending time - travel time

  starting time = 15:09 -2:36 = (15-2):(09-36) = 13:(-27) = 12:33

Mr Lopez's family left at 12:33 PM.

__

There are 60 minutes in an hour. 60-27=33.

For the function f(x) = logb(x) to be increasing, the value of the logarithmic base b must be greater than 1. To understand why this is the case, let's consider the definition of an increasing function

. A function is increasing if, as the input values increase, the corresponding output values also increase. In the case of logarithmic functions, the input values are positive real numbers (x > 0) and the output values are the logarithms of these numbers.

When the base b of the logarithm is greater than 1, the function f(x) = logb(x) exhibits an increasing behavior. This is because as the input values x increase, the logarithm of x also increases. In other words, the function "stretches out" the input values and maps them to larger output values as x increases.

On the other hand, when the base b is less than 1 (0 < b < 1), the logarithmic function f(x) = logb(x) becomes a decreasing function. In this case, as the input values x increase, the logarithm of x becomes more negative, resulting in decreasing output values.

Therefore, the values of b for which the function f(x) = logb(x) is increasing are when b > 1.

In summary, the logarithmic function f(x) = logb(x) is increasing when the base b is greater than 1.

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Answer:

second option

Step-by-step explanation:

x² + 4x + 12 = 0 ( subtract 12 from both sides )

x² + 4x = - 12

to complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(2)x + 4 = - 12 + 4

(x + 2)² = - 8 ( take square root of both sides )

x + 2 = ± \(\sqrt{-8}\) = ± \(\sqrt{4(2)(-1)}\) = ± (\(\sqrt{4}\) × \(\sqrt{2}\) × \(\sqrt{-1}\) ) = ± 2\(\sqrt{2}\) i

subtract 2 from both sides

x = - 2 ± 2\(\sqrt{2}\) i

then

x = - 2 + 2\(\sqrt{2}\) i , x = - 2 - 2\(\sqrt{2}\) i

Answer:

Is g(x)

Step-by-step explanation:

We search the roots of the function on this way

(x-1)^2 (x+2) =0

(x-1)^2 =0

x-1=\(\sqrt{0}\)

x=1  ////

(x+2)=0

x=-2 ////

So (1,0) and (-2,0) are the roots of the function (as the image)

The jogger's rate, in feet per minute, is 325.6 feet/minute.

Given that,

So, based on the above information, the jogger rate in feet per minute is

= (3.7 mile/hour) × (5,280 feet/mile) x ( 1 hour or  60 minute)

= (3.7 × 5,280 ÷ 60)  feet/minute

= 325.6 feet/minute

Therefore we can conclude that the jogger's rate, in feet per minute, is 325.6 feet/minute.

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Answer:

Closed 11 shaded to the right

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

X is equal to or greater than 12

Answer:

-104

Step-by-step explanation:

13 x 4 =52

52 - 8 squared =-12

8 x (-12) - 8 = -104

Answer:

x-29/2

Step-by-step explanation:

Answer:

The suspect possesses 0.4 ounces of cocaine.

Step-by-step explanation:

Mass Units Conversion

The mass can be expressed in several units like grams, kilograms, ounces, pounds, etc. Each unit can be converted to any other multiplying by a fixed number.

The international conventions state that 1 gr = 0.035274 ounces.

If a suspect is in possession of 10 grams of cocaine, its equivalent to ounces can be calculated as 10*0.035274=0.35 oz. Rounding to the nearest tenth it would be 0.4 oz.

Since 1/8 = 0.125 and 1/2 is 0.5, our subject should be charged as a Class C felony

Answer:

n= 2

2 x 6= 12

9x2=18

4x0=0

12+18+0=30

Answer:

27 and 60

Step-by-step explanation:

lets say the first number 'a' and the second number 'b'

1) The question says the sum of two number is 87 which means a + b = 87........given 1

2) we have another given which says one of the number is 6 morethan twice the other which means a = 2b + 6.......... given 2

a + b = 87

2b + 6 + b = 87 (we substitute 'a' with the given 2b + 6)

3b + 6 = 87

3b = 87 - 6

3b = 81

3b = 81

3 3

b = 27 ..... the first number

a = 2b + 6

a = 2 × 27 + 6

a = 54 + 6

a = 60..... the second number

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Answer:

MO is 13 units

Step-by-step explanation:

If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment

∵ Point N ∈ segment MO

→ That means point N divide segments MO to two parts MN and NO

∴ Point N divides segment MO into two parts MN and NO

→ That mans the length of segment MO equals to the sum of

   lengths of MN and NO

∴ MO = MN + NO

∵ MN = 8 units

∵ NO = 5 units

∴ MO = 8 + 5

∴ MO = 13 units

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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