Divide: 83.5 ÷ 6.25 The first step in solving 83.5 ÷ 6.25 is to multiply the divisor and dividend by . The new division problem is .

Answer:

x=sint

Differentiating w.r.t. t, we get,

dt

dx

​

=cost

y=cos2t

Differentiating w.r.t. t, we get,

dt

dy

​

=−2sin2t

Thus,  

dx

dy

​

=−

cost

2sin2t

​

dx

dy

​

=

cost

−4sintcost

​

=−4sint

Step-by-step explanation:

When analyzing two quantitative variables the first thing that should be done make a scatterplot.

When comparing two quantitative variables, a scatterplot is the most useful display technique. We plot the variable we consider the response variable on the y-axis and the explanatory or predictor variable on the x-axis.

How do we know which variable is which? The explanatory variable, in general, attempts to explain or predict the observed outcome. A study's outcome is measured by the response variable. One may even consider investigating whether one variable causes variation in another variable; for example, a popular research study found that taller people are more likely to earn higher wages. In this case, the explanatory variable Height would be used to explain the variation in the response variable Salaries.

When summarizing the relationship between two quantitative variables, we must consider the following:

1.Association/Direction (i.e. positive or negative)

2.Form (i.e. linear or non-linear)

3.Strength (weak, moderate, strong)

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By taking the quotient between the total volume of paint and the volume needed to fill a container we can see that 16 containers can be filled.

We know that the art teacher has 12 + 4/5 gallons of paint, and we know that it requires 4/5 gallons to fill a single container.

Then the number of containers that can be filled is equal to the quotient between the total volume of paint and the volume needed fill a single container, it gives:

(12 + 4/5)/(4/5) = 16

So 16 containers can be totally filled.

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0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Answer:

16

Step-by-step explanation: I dunno I just guessed. lol

l m a o lol

The surface area of a triangular prism is determined by the areas of its two triangular bases and its three rectangular faces. Let's denote the edge lengths of the first prism as 2x and the edge lengths of the second prism as 3x, where x is a common factor.

The surface area of the first prism (A1) is given by:

A1 = 2(base area) + 3(lateral area)

The base area of the first prism is proportional to the square of its edge length:

base area = (2x)^2 = 4x^2

The lateral area of the first prism is proportional to the product of its edge length and its height:

lateral area = 3(2x)(h) = 6xh

Therefore, the surface area of the first prism can be expressed as:

A1 = 4x^2 + 6xh

Similarly, for the second prism, the surface area (A2) can be expressed as:

A2 = 9x^2 + 9xh

To find the ratio of the surface areas, we can divide A2 by A1:

A2/A1 = (9x^2 + 9xh)/(4x^2 + 6xh)

Simplifying this expression is not possible without knowing the specific value or relationship between x and h. Therefore, the ratio of the surface areas of the two prisms cannot be determined solely based on the given information of the edge lengths in a 2:3 ratio.

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Answer:

Step-by-step explanation:

Since you started at the origin of the plane, it would be obvious that your place would be 0.25 on the x-axis. The template for this would be (x,y) x- right and left. y- up and down. On the y-axis, the bug moved 0.25 DOWN to point A. That would be a negative since on the y-axis, it counts up to positives and down to negative. Similar to the x-axis, it counts right to positives, left to negatives. Hope this helped!

the answer is D. I did it on edge in the unit test review.

hope it helped

To find out how many children and how many adults attended the event, we can set up a system of equations based on the given information.

Let's use the variables c and a to represent the number of children and adults, respectively. The total number of people who attended the event is 100, and the total amount collected at the door is $626. Each child ticket costs $5, and each adult ticket costs $8. By setting up and solving a system of equations, we can determine the values of c and a.

Let c represent the number of children and a represent the number of adults who attended the event. We can set up the following system of equations based on the given information:

Equation 1: c + a = 100 (total number of people who attended the event)

Equation 2: 5c + 8a = 626 (total amount collected at the door)

We can solve this system of equations using various methods such as substitution, elimination, or matrix methods. Here, we'll solve it using the substitution method.

From Equation 1, we have c = 100 - a. Substitute this value into Equation 2:

5(100 - a) + 8a = 626

500 - 5a + 8a = 626

3a = 126

a = 42

Substitute the value of a into Equation 1:

c + 42 = 100

c = 58

Therefore, 58 children and 42 adults attended the event.

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Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3

On solving the provided question, we can say that, the required polynomial is - \((x^2 - x - 2)(x^2 + 1) = x^4 - x^3 - x^2 - x - 2\)

In mathematics, a polynomial is an expression made up of variables (also known as indeterminates) and coefficients, using only addition, subtraction, multiplication, and non-negative integer powers of the variables. An equation that combines exponents, constants, and variables through addition, subtraction, multiplication, and division is referred to as a polynomial (not division by a variable). We are aware that a polynomial is a mathematical statement containing a variable (usually x). There are no variables in this situation if we regard the number "2" to be a polynomial. 2 is a polynomial of degree 0 thus.

given roots at \(-1 and 2\),

first two factors - (\(x + 1), (x - 2)\)

(x - i), then the conjugate must also be a factor. So n

\((x + 1)(x - 2)(x - i)(x + i)\)

\((x^2 - x - 2)(x^2 + 1) = x^4 - x^3 - x^2 - x - 2\)

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Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

Step-by-step explanation:

Answer:

(a) 40 m

(b) 4 seconds

(c) 1 second, 45 m

(d) 1 second

Step-by-step explanation:

The given height as a function of height is

\(h= -5t^2+10t+40\)

where t is the time in seconds and h is the height, in meters.

(a) At the starting time, t=0, the arrow is at the platform.

So, putting t=0, to get the height of the platform

\(h= -5(0)^2+10(0)+40 = 40\) m

(b) For determining the length of time the arrow is in the air, first t determining the value of t for which h=0, we have

\(-5t^2+10t+40=0 \\\\-t^2+2t+8=0 \\\\-t^2+4t-2t+8=0 \\\\-t(t-4)-2(t-4)=0 \\\\(-t-2)(t-4)=0 \\\\\)

t=-2, t=4  

Mathematically, the value of t for which the arrow is in the air is the time from -2 to 4 seconds.

But the arrow was at the platform at time t=0. So, neglecting the negative time, the time for which the arrow was in the air is the time from 0 to 4 seconds, i.e 4 seconds.

(c) Mathematically, the value of t for which the arrow is in the air is the time from t=-2 to t=4 seconds. So, in the middle of time, i.e at t=1 second the arrow will reach the maximum height.

Putting t=1 to get the maximum height, we have

\(h=-5(1)^2+10(1)+40\)

h=-5+10+40

h=45 m

Therefore, the maximum height is 45 m at t=1 second.

(d) Referinf option (c), at the time, t=1 second, the arrow has a height of exactly 45m above the ground

Answer:

d = 5 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 1) ← 2 points on the line

d = \(\sqrt{(8-5)^2+(1-5)^2}\)

 = \(\sqrt{3^2+(-4)^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

1.0 is the mean of the variable x

The mean or expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Given :

x|  0      1     2      

p| 0.2 0.6  0.2

The expected value of x, E(x) =Σ xp

where x = number of classes and p = probability

E(x) = (0×0.2) + (1×0.6) + (2×0.2)

E(x) = 0 + 0.6 + 0.4

E(x) =  1.0

Therefore, the mean of the variable x is 1.0

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Answer:

-1,-1

Step-by-step explanation:

it is the midpint (-1,-1)

Answer:

( -1 , -1 )

Step-by-step explanation:

( -8 + 6 / 2 ) , ( 7 + -9 / 2)

( -2 / 2) , ( -2 / 2)

( -1 , -1 )

thanks, this is a answer (:

Answer:

72 = -4s

72 / (-4) = (-4s) / (-4)

-18 = s

Answer:

Step-by-step explanation:

Answer:

115.5

Step-by-step explanation:

did the iready

Raymond was on the trampoline for 29 minutes. Raymond just got done jumping at Super Bounce Trampoline Center.

The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. In order to determine the number of minutes Raymond was on the trampoline, we can write an equation.Let's assume that Raymond was on the trampoline for t minutes.

The cost of the entrance fee is $7.The cost of each minute on the trampoline is $1.25.

Thus, the total cost of Raymond's session can be represented by the following equation:

Cost = entrance fee + cost of minutes on the trampoline

Cost = $7 + $1.25t

We know that the total cost of Raymond's session was $43.25.

Therefore, we can set up an equation to solve for t:$43.25 = $7 + $1.25t

Subtracting $7 from both sides gives:$36.25 = $1.25t

Dividing both sides by $1.25 gives:t = 29

Thus, Raymond was on the trampoline for 29 minutes.

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Step-by-step explanation:

9×3= 27

we know that ; x = A +B+ C+ D

x = 15+25+20+30+27=117

The answer is = 117

Volume of a cube = l³

                              = (11 in)³

                              = 1331 in³

Surface area of cube = 6a²

                                   = 6 (11 in)²

                                   = 726 in²

Answer:
1.875 miles per minute
1.875 miles per hour

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

Answer:

I would say 26 or 42 but i would o with 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

\(arccos\left(\frac{18}{20}\right)\) = 25.8

Answer:

\( m\angle SXW =113\degree \)

Step-by-step explanation:

In circle with center X, VS is diameter.

So \( \widehat {SWV} \) is a semicircular arc.

\( \therefore m\widehat{SWV} = 180\degree \)

\( \therefore (12x+7)\degree + (21x +8)\degree = 180\degree \)

\( \therefore (33x+15)\degree = 180\degree \)

\( \therefore 33x+15 = 180 \)

\( \therefore 33x = 180-15 \)

\( \therefore 33x = 165 \)

\( \therefore x =\frac{165}{33} \)

\( \therefore x =5 \)

\( m\angle SXW =m\widehat{SW} \)

(Measure of central angle is equal to the measure of its corresponding minor arc)

\( m\angle SXW =(21x + 8)\degree \)

\( m\angle SXW =(21\times 5+ 8)\degree \)

\( m\angle SXW =(105+ 8)\degree \)

\( m\angle SXW =113\degree \)

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out. You have your input number, which is your x value, and you have your output number which is your y value (or f(x)). All you have to do is see if each of the proposed answers works for ALL entries in the data set. Hope this helps :)

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

With the help of set relation and function the number of members taking art history  but not mathematics is 12

what is set ?

Sets are collections of clearly defined objects, relations show the connections between the elements of two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with an element in B.

solution:

Total members (A + B + C + D)= 38

                                       B + C = 18

                                              C = 5

                                              A = 8

Work from the end to the beginning:

A = 8

C = 5

B = 13          [from clues 3 and 2]

D = 12          [use clue 1 and above info]

Therefore, The member of taking art history  but not mathematics D = 12

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