Use the laws of exponents to simplify the expression so that the base, x, appears once, and the exponent is positive. x^3/x^5

Answer:

7. I attached my answer ... have a nice day

At time t, the position is x(t) = 0.5t3 - 3t2 + 3t + 2.

To find the position:

The derivative of x with respect to t is zero when the velocity is zero. That is to say,

Use the quadratic formula to solve.

When t =0.5858 s, the position is:

When t=3.4142 s, the position is:

Reject the negative answer.

So, when t = 0.586 s, the velocity is zero and the distance is 2.83 m.

The second derivative of x with respect to t is zero when the acceleration is zero.

That is to say,

The distance traveled is:

So, when the acceleration is zero, t = 2 s, and the distance traveled is zero.

Therefore, at time t, the position is x(t) = 0.5t3 - 3t2 + 3t + 2.

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The correct question is given below:

A girl operates a radio-controlled model car in a vacant parking lot. the girl’s position is at the origin of the XY coordinate axes, and the surface of the parking lot lies in the XY plane. she drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t + 2 where x and t are expressed in meters and seconds, respectively. determine when the velocity is 0 m/s, and the position and the total distance traveled when the acceleration is zero.

Euclidean geometry differs from spherical geometry because Euclidean geometry is used to set points by the use of plane.

Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different axioms and theorems.

Now since Spherical geometry is the geometry of the two-dimensional surface of a sphere. In this context the word "sphere" refers only to the 2-dimensional surface and other terms like "ball" or "solid sphere" are used for the surface together with its 3-dimensional interior.

Euclidean geometry differs from spherical geometry because Euclidean Geometry are known to make use of a plane to be able to set points and lines, but Spherical Geometry are known to make use of spheres to set up points and great circles.

Thus, Euclidean geometry differs from spherical geometry because Euclidean geometry is used to set points by the use of plane.

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There are 152 boys who are present in the class with ratio 19:6.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio = 19:6

let the common ratio be x

number of boys = 19 x

number of girls = 6x

Also,

number of boys = number of girls + 104

19x = 6x +104

13 x = 104

x= 8

Hence, the number of boys are 19x= 19*8 = 152 boys.

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2

Step-by-step explanation:

Solving a quadratic equation, the youngest age for which the average income of the lawyer is of $250,000 is of 26 years.

A quadratic function is given according to the following rule:

y = ax² + bx + c

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation that models the income as function of age is given by:

I(x) = -425x² + 45500x - 650000.

The income is of 250,000 when I(x) = 250000, hence:

250000 = -425x² + 45500x - 650000.

425x² - 45500x + 900000 = 0.

Hence the coefficients are a = 425, b = -45500 and c = 900000, then:

The youngest age for which the average income of the lawyer is of $250,000 is of 26 years. (the oldest is of 81 years).

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Answer:

The equation for the number of people is 25.50x + 6.25 = 235.75 and the number of people who can go to the amusement park are 9.

Step-by-step explanation:

We have,

Spend on parking and admission = $235.75  

Spend on parking  = $6.25

Cost of ticket per person = $25.50

Let number of number of people = x

Now,

According to the question;

25.50x + 6.25 = 235.75

So, this the equation for number of number of people.

Now,

25.50x + 6.25 = 235.75

25.50x = 229.50

x = 9

So, number of number of people is 9, which we find out using the above mentioned equation.

Hence, we can say that the equation for the number of people is 25.50x + 6.25 = 235.75 and the number of people who can go to the amusement park are 9.

The number of people who can go to the amusement park is 9 they have $235.75 to spend on parking and admission. Parking is $6.25.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A group of friends wants to go to the amusement park. They have $235.75 to spend on parking and admission.

Parking is $6.25, and tickets cost $25.50 per person, including tax.

Let x be the number of people

6.25 + 25.50x = 235.75

25.50x = 235.75 - 6.25

25.50x = 229.5

x = 9

Thus, the number of people who can go to the amusement park is 9 they have $235.75 to spend on parking and admission. Parking is $6.25.

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Answer:

22.7

This is becuase 6 is closer too 7. Thus we would round too 7.

Subsets of the specified set equal 16.

The set's appropriate subset is equal to 15.

A set is the collection of specific, distinct items from our perception (Anschauung) and from our thought, which are referred to as the set's elements. A set's elements or members can be anything, including numbers, people, alphabet letters, other sets, and so on. Sets are typically indicated.

given data:- { 5​, 7​, 17​, 15 ​}

this set have 4 elements:

We are aware that the number of subsets of a set with n elements is represented by 2^n

where n denotes the set's element count.

as a result, the given set's subsets = 2^4

= 16

Because the original set itself is subset of itself, it is not a legitimate subset.

Consequently, a proper subset of a set:- 2^n - 1

= 2^4 - 1

= 16 -1

 = 15

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Answer:

-2x + y = -6

The equivalent expression for the expression consisting of mixed fraction 2 { 5 5/8 } + 3 { 9 13/16 } is 651/16.

According to the given question.

We have an expression consisting of mixed fractions.

2 { 5 5/8 } + 3 { 9 13/16 }

Since, we convert the mixed fraction into improper fraction by

Step 1: Multiply the denominator with the whole number.

Step 2: Add the numerator to the product obtained from step 1.

Step 3: Write the mixed fraction with the sum obtained from step 2 as the numerator and the denominator of the original fractional part of the mixed fraction.

Therefore, the equivalent expression for the expression 2 { 5 5/8 } + 3 { 9 13/16 } is given by

2{45/8} +3{157/16}

= 90/8 + 471/16

=  [180 + 471]/16

= 651/16

Hence, the equivalent expression for the expression consisting of mixed fraction 2 { 5 5/8 } + 3 { 9 13/16 } is 651/16.

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The combined cost of one pound of pork and one pound of beef is $ 15.5.

The total cost is equal to the sum of the products of unit price and quantity of an article. In this problem we find the sum of the quantities of two products (pork roast, beef roast), whose expression can be described below:

67.50 = (3.25) · (x - 0.50) + (5.5) · x

Where x is the unit cost of the beef roast.

Now we proceed to solve the equation for x:

67.50 = 3.25 · x - 1.625 + 5.5 · x

69.125 = 8.75 · x

x = 7.9

A pound of beef roast costs $ 7.9 and a pound of pork roast costs $ 7.4. Then, the combined cost of one pound of prok and one pound of beef is:

C = 1 · 7.9 + 1 · 7.4

C = 15.5

The combined cost of one pound of pork and one pound of beef is $ 15.5.

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The angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

The sum of complementary angles s 90 degrees while that of supplementary angles is 180 degrees.

Let the complement of an angle be 90 -x and its supplement be 180 -x

If three times the measure of a supplement of an angle is eight times the measure of a complement of the angle, then;

3(180-x) = 8(90-x)

Expand

540-3x = 730 - 8x

540-720 = -8x + 3x

180 = 5x

x = 180/5

x = 36 degrees

Complement  = 90 - 36 = 54degrees

Supplement = 180 - 36 = 144 degrees

Hence the angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

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Answer:

[tex] \sf \large \frac {1}{8}b²c[/tex]

Step-by-step explanation:

3/4ab/6/abc

= 1/8ab²c/a

= 1/8b²c

Answer: Delila is correct about this determination.

Step-by-step explanation: The rule for multiplying two negatives is that a negative and a negative always equal a positive. Therefore, multiplying two negatives will give a positive. However, we still have to multiply that positive by another negative to get our answer. Another multiplication rule states a negative and a positive always equals a negative. Let's set up an example with the numbers -7, -8, and -4:

Using the first multiplication rule mentioned above, let's multiply:

-8 x -7 = 56

Using the second multiplication rule mentioned above, we can finish the equation and get our answer:

56 x (-4) = -224

-7 x -8 x -4 = -224.

Final answer: Delila is correct. Multiplying three negatives will result in a negative solution.

Answer: 17. The fower will last 85 days

18. She ran at a constant pace of around 12.94mph (if her time was 14 minutes and 24.6 (14.14m) ) or 12.7mph (if her time was 14 minutes 41 seconds) (the .41 confused me so I did both possible solutions)

Hope this helped c:

Answer:

Step-by-step explanation:

The statement is flipped, and saying different sayings.

Answer:

If n + 4 is odd,  then n is odd.

Step-by-step explanation:

Contrapositive statements negate the original statement and interchanges(flips) it.

So the negated statement would be ' If n is odd, then n + 4 is  odd'.

Then we interchange that statement so  ' If n is odd, then n + 4 is odd' becomes, ' if n + 4 is odd,  then n is odd.'

The combination of hours that Keitaro can walk and run in a month to reach his goal will be A. 2 hours walking; 12 hours running

From the information, Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles.

The equation is

3w + 6r ≥ 36

3w + 6r ≤ 90

The combination of hours that Keitaro can walk and run in a month to reach his goal will be 2 hours walking, and 12 hours running.

This will be:

3w + 6r ≤ 90

3(2) + 6(12)

6 + 72 = 78

Therefore, 78 is less than 90.

The correct option is A.

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When the numbers 1-7 is put in the seven circles so that the numbers in each group of three circles connected with a straight line add up to 12 then the number 4 is kept at the center

Let say A , B , C , D , E  , F  & G are 7 numbers  from 1 to 7

& D is in center

So, A & G , B & F , C & E are opposite

A + D + G  = B + D + F  = C + D  + E

=> A + G = B + F = C + E

Adding all numbers

A + B + C + D + E + F + G  + 2D

( A + B + C + D + E + F + G = 28  ( 1 to 7 sum)

= 28 + 2D

28 + 2D  is Divisible by  3 numbers

Hence

D = 1   ,  4   ,   7  

Case 1  

D = 1

28 + 2D = 30    Sum of Each   = 10   ,  D = 1

=> A + G = B + F = C + E  = 9

2 + 7 = 3 + 6  = 4 + 5

Sum is not equal to 12. So this case is invalid

Case 2  

D = 4

28 + 2D = 36    Sum of Each   = 12   ,  D = 4

=> A + G = B + F = C + E  = 98

only possible solution

1+ 7 = 2 + 6  = 3 + 5

Case 3

D = 7

28 + 2D = 42    Sum of Each   = 14   ,  D = 7

=> A + G = B + F = C + E  = 97

1 + 6 = 2 + 5  = 3 + 4

Sum is not equal to 12, so case is invalid

Hence the solution will have 4 in the center.

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10 mph more unusual.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a larger range, a low standard deviation suggests that the values tend to be near to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical literature and equations to indicate standard deviation. Standard deviation may be written as SD.

EXPLANATION : The speed recordings follow an approximately normal distribution the mean of

100 readings was 2384 mph. with a standard deviation of 3.56mph

The speed limit read 20 mph

We have to find the number of standard deviations from the mean that the car going

under the speed hmit would be

Let the car going under the speed 20mph bey standard deviations away from mean

That is.

20 — 23.84 +y(3.56)

20—2384 —1.078651685

So the car going under the speed limit would be less than or equal to 107865 standard

A car traveling 34 mph

The number of standard deviations from the mean that the car is going at 34mph is given by

That is the car going at 34mph is 2.8539 standard deviations above the mean

A car traveling at 10mph

The number of standard deviations from the mean that the car going at 10mph is given by.

y= 2.8539

That is. the car going at 10mph is 3.8876 standard deviations

We know from the empirical nile that 99.7% of the observations he with in ±3 standard

deviations from the mean for a normally distributed data

But the speed of 10mph is not within these limits, where as 34 mph is within these limits

So the car is  travelling t 10mph is more unusual

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By taking a quotient between the total area and the number of children, we conclude that each one will get 9 ⁴/₅ acres.

Here we know that a farmer has a total of 49 acres, and he wants to divide it evenly among his 5 children.

So we just need to take the quotient between 49 and 5, this is:

49/5

First, we can rewrite:

49 = 45 + 4

Replacing that in the quotient we get:

49/5 = (45 + 4)/5 = 45/5 + 4/5

The first term is equal to 9, then we can rewrite:

49/5 = (45 + 4)/5 = 45/5 + 4/5 = 9 + 4/5

From this quotient, we conclude that each one of the 5 children gets an area of 9 + 4/5 acres. Written as a mixed number this would be:

A = 9 ⁴/₅ acres.

So the correct option is the first one.

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Answer:

≈649 kg/m[tex]^{3}[/tex]

Step-by-step explanation:

Density is equal to mass/volume

25 / 0.385 ≈ 649 kg/m[tex]^{3}[/tex]

1. The meters of fencing that he installed on each day will be 6.54 meters.

2. The amount of money that Jenny will make will be $127.05.

1. Number to be installed = 42.6m

It should be noted that the person already installed on Monday and Tuesday. Therefore, the amount to install from Wednesday to Friday will be illustrated as:

= (42.6) - (13.45 + 9.5) / 3

= 42.6 - 22.95 / 3

= 6.54 meters per day.

2. The amount of money that Jenny will make will be:

= (9.15 × 9) + (7.45 × 6)

= 82.35 + 44.7

= $127.05

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The circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

Inequality are expressions that are not separated by an equal sign. Number lines on the other hand is a picture of a graduated straight line that serves as visual representation of the real numbers.

Every point of a number line is assumed to correspond to a real number, and every real number to a point.

From the given number line, you can see that  the circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

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Answer:

x> -2

Step-by-step explanation:

Answer: c = 12

Step-by-step explanation: r is 2 since in the circle it shows the length from the center to the arc. now multiply 2(3)(2) and you will end up with 12.

Answer:

Circumference = 12

Step-by-step explanation:

C=2πr

where,

➟ C = 2πr

Insert values

➟ C = (2)(3)(2)

➟ C = (6)(2)

➟ C = 12

Answer:

V = 1 (Please mark the answer as brainliest)

Step-by-step explanation:

8(5 - 6v) = -7 - v

40 - 48v = -7 - v

40 = -7 + 47v

47 = 47v

1 = v

Answer:

v = 1

Step-by-step explanation:

Let's solve the problem,

→ 8(5 - 6v) = -7 - v

→ 40 - 48v = -7 - v

→ 40 + 7 = -v + 48v

→ 47v = 47

→ v = 47/47

→ [ v = 1 ]

Hence, the value of v is 1.