School started at 9:15am. After two period lasting 50min each, children had a break. At what time was the break?

Answer:

8.1 gallons of gas

Answer:

8.10 or 8

Step-by-step explanation:

you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.

240/9=26.66

now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need

216/26=8.10

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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Answer:

T4 = 162   T5 = 486    T6 = 1458

Explanation:

the pattern is multiply the previous number by 3

so 6 x 3 = 18

18 x 3 = 54

54 x 3 = 162 and so on.

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer:

36,150.24

Step-by-step explanation:

$43036- 16%

Answer:

$36,150.24

Step-by-step explanation:

The salary of Job A is 100% of itself since 100% means a whole thing.

The salary of Job B is 16% less than the salary of Job A.

100% - 16% = 84%

That means that the salary of Job B is 84% of the salary of Job A.

We need to find 84% of $43036.

84% of $43036 =

= 0.84 * $43036

= $36,150.24

The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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Answer:

8x21 (i think this is it..)

Step-by-step explanation:

If it is 8 x (14+7)=? + (8 x 7), then it should be (8 x 14)+ (8 x 7), which is the distributive property of multiplication. There, the 8 is multiplied by each of the terms in the parentheses and the two products are added. That answer is 112+56=168, which is 8 x 21.

Answer:

A.) Coefficient

Step-by-step explanation:

While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them

Answer:

-4

Step-by-step explanation:

-1+(-3)

-1-3 = -4

We need to multiply:

But first, we will round each term to the nearest whole number

so,

4.6 will be rounded to 5 ( because 0.6 > 0.5 )

4.1 will be rounded to 4 ( because 0.1 < 0.5 )

so,

4.6 x 4.1 ( approximately ) = 5 * 4 = 20

Answer:

The acceleration is 466.7m/s^2

Step-by-step explanation:

Given

\(u = 0m/s\) -- Initial Velocity

It is 0 because the plane starts from a standstill

\(v = 350mi/h\) -- final velocity

\(t = 45s\) -- time

Required

Determine the acceleration

This is calculated using Newton's first equation of motion

\(v = u + at\)

Convert time to hour

\(t = 45s\)

\(t = \frac{45}{60}hr\)

\(t = 0.75hr\)

Substitute values for v, u and t

\(350 = 0 + a*0.75\)

\(350 = 0.75a\)

Divide both sides  by 0.75

\(\frac{350}{0.75} = a\)

\(466.67 = a\)

\(a=466.67m/s^2\)

Hence, the acceleration is 466.7m/s^2

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

CosC

Step-by-step explanation:

EDG

The width of the rectangular field is 56 yards, and its length is 216 yards.

In the question, we are given that a new youth sports center is being built in Junction City. The perimeter of the rectangular playing field is 544 yards. The length of the field is 8 yards less than quadruple the width.

We are asked to find the width and the length of the field.

We assume the width of the rectangular field to be x yards.

Thus, we have the width of the rectangular field = x yards.

The length of the rectangular field = 8 yards less than quadruple the width = 4x - 8 yards.

The perimeter of a rectangle is given as 2(length + width).

Thus, the perimeter of the rectangular field can be shown as 2{(4x - 8) + x} yards.

But, the perimeter of the rectangular field is given to be 544 yards.

Thus, equating the two values, we get a linear equation:

2{(4x - 8) + x} = 544.

This equation can be solved as:

2{(4x - 8) + x} = 544,

or, 5x - 8 = 272,

or, 5x = 280,

or, x = 56.

Thus, we have the

width = x yards = 56 yards, and the

length = 4x - 8 yards = 4*56 - 8 yards = 216 yards.

Thus, the width of the rectangular field is 56 yards, and its length is 216 yards.

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Answer: $130

Step-by-step explanation:

$115 is 10% of $1,150, so if the percentage is the same, it would be 10% of $1,300.

Answer: $130

Step-by-step explanation:

trust lol

Answer:

a. \(f(a) = -0.03a +1.53\)

b. See Explanation

c. The slope is reasonable but the p intercept is not

d. \(f(20) = 93\%\)     \(f(30) = 63\%\)    \(f(40) = 33\%\)   \(f(50) = 3\%\)

Step-by-step explanation:

Given

\(a = age\)

\(p = probability\ of\ marriage\)

\(a = 45\) when \(p = 18\%\)

\(a = 25\) when \(p = 78\%\)

Solving (a): The linear function

We start by calculating the slope, m

\(m = \frac{p_2 - p_1}{a_2 - a_1}\)

\(m = \frac{78\% - 18\%}{25- 45}\)

\(m = \frac{60\%}{-20}\)

\(m = -3\%\)

\(m = -0.03\)

The function is then calculated as follows

\(p - p_1 = m(a - a_1)\)

This gives:

\(p - 18\% = -0.03(a - 45)\)

\(p - 0.18 = -0.03(a - 45)\)

\(p - 0.18 = -0.03a +1.35\)

Solve for p

\(p= -0.03a +1.35+0.18\)

\(p= -0.03a +1.53\)

Hence,

\(f(a) = -0.03a +1.53\)

Solving (b): Interpret the slope and the p intercept

The slope is calculated as:

\(m = -0.03\)

And it implies that, there is a 3% reduction in change of getting older as women get older

The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.

Solving (c): Is (b) reasonable

The slope is reasonable.

However, the p intercept is not because of the age of the woman

Solving (d): Determine f(20), f(30), f(40), f(50)

We have that:

\(f(a) = -0.03a +1.53\)

\(f(20) = -0.03 * 20 + 1.53\)

\(f(20) = -0.6 + 1.53\)

\(f(20) = 0.93\)

\(f(20) = 93\%\)

\(f(30) = -0.03 * 30 + 1.53\)

\(f(30) = -0.9 + 1.53\)

\(f(30) = 0.63\)

\(f(30) = 63\%\)

\(f(40) = -0.03 * 40 + 1.53\)

\(f(40) = -1.2 + 1.53\)

\(f(40) = 0.33\)

\(f(40) = 33\%\)

\(f(50) = -0.03 * 50 + 1.53\)

\(f(50) = -1.5 + 1.53\)

\(f(50) = 0.03\)

\(f(50) = 3\%\)

Based on the table, the annual premium for a wood house in a rural area would be $2,000.

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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For the vector field F=(zx+z²y+9y, z³yx+8x, z⁴x²), the computed value of ∬M(∇×F)⋅dS is -64π.

Stokes' theorem is an importent for determining the surface integral . In this theorem the flux of curl of the vector field can be calculated using the line integral of the vector field on the contour curve. Stokes' Theorem states:

∬ (∇ × F)ds = ∫ F.dr

S C

Note that given surface area is bounded by cylinder, x²+y² = 64 in xy plane.

We parameterise the surface S , r(t) = (x(t),y(t),z(t))

Let, x(t) = r cost , y(t) = r sint , z(t) = 0

=> x(t) = 8 cost , y(t) = 8 Sint , z(t) = 0

Therefore, r(t) = ( 8 cost , 8 sint , 0 )

Differentiating this , we have

r'(t) = ( -8 sint , 8 cost , 0)

F(r(t)) = ( 0× 8 cost + (0)( 8 sint ) + 9(8 sint), 0³( 8 sint )(8 cost) + 8(8 cost ) , 0⁴(8cost)²)

= ( 72 sint , 64 cost , 0)

Therefore, ∬ (∇ × F)ds = ∫ F.dr

S C

= ∫ (F (r(t)).r'(t) dt , 0≤ t ≤2π

= ∫(72 sint ,64 cost ,0).(-8 sint ,8 cost ,0)dt ,0≤t≤ 2π

= ∫(-576 sin²t , 512cos²t )dt , 0≤t≤2π

= ∫(-576( (1 - cos2t )/2) + 512( (1 + cos2t)/2))dt,

0≤t≤2π

= ∫(-288 (1 -cos2t) + 256(1 + cos2t)) dt, 0≤t≤2π

= ∫(-288 + 288cos2t + 256 + 256cos2t)dt, 0≤t≤2π

= ∫(-32 + 544cos2t ) dt , 0≤t≤2π

= [ -32 t + 544sin2t/2 ], 0<t<2π

= [ -32(2π) + 272 sin2(2π) ] ( sin(2π) = 0 )

= -64π

So, required value is -64π.

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Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.

According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.

On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.

Hence, the time taken to edit the 15minute long video is; 20 hours.

hi

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On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.

Answer:

B

Step-by-step explanation:

b is correct

Answer:

7 tens

Step-by-step explanation:

the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.

Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.