Sparx homework
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If n is an integer , the possible values of n in the given inequality are n > 5/2 and  n < 10       .

In the question ,

it is given that ,

the inequality is 5 < 2n < 20 , where n is an integer .

we need to find the all the possible values of n that satisfy the given inequalities .

to find the possible values of n , we solve both sides of the inequality separately ,

that is ,

5 < 2n

dividing both sides in the inequality by 2, we get

5/2 < n

n > 5/2

and

2n < 20

dividing both sides in the inequality by 2 , we get

n < 20/2

n < 10

Therefore , the possible values of n are n > 5/2 and  n < 10   .

The given question is incomplete , the complete question is

Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?

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Answer:

x = 4

Step-by-step Explanation:

[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]

The square of a number is increased by 5 times the number [tex]6x^{2} +5x-4=0[/tex]

What is quadratic equation?
A quadratic equation is a second order equation written as a[tex]x^{2}[/tex] + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Product of 6 and the square of a number is increased by 5 times the number, he result is 4.

Consider x as the number,

The question can be written as:

[tex]6(x^{2} )+5(x)=4[/tex]

[tex]6(x^{2} )+5(x)-4=0[/tex]

Hence, the answer for the given question is [tex]6x^{2} +5x-4=0[/tex].

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Standard deviation - The value of x is 1.96.

What is standard normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.

Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.

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Answer:

(-2.-3)

Step-by-step explanation:    

(-2.-3)

The equation that can be used to find the side length of the shape is 14s - 7s/2 = 84

From the information, the two sides of the rectangle are 14 and s.

Area of a rectangle = length × width

The triangle is cut from the rectangle, the height is s/2 and the base is 14.

The area will be: = 1/2 × base × height

= 1/2 × 14 × s/2

= 7s/2

The area of shaded part will be;

= Area of rectangle - Area of triangle

= 14s - 7s/2

Since area is 84, the equation is 14s - 7s/2 = 84.

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The students' Landry and Erika was the name used and the image is attached

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

The two graphs shown the first from the left represents a positive slope while the second is a negative slope

Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph

Considering c (y intercept)

In Cole's equation c = -1 and in Erika's equation c = +4

Erika's equation coincides with the graph with positive slope and Landry matches with second graph.

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Answer:

A. 63.

Step-by-step explanation:

The slope of a line parallel to the line whose equation is 10x + 6y = -96 is;

m = - 5/3

Find the slope fully simplify my answer.

10x + 6y =-96

y = - 5/3 x – 16

y = - 5/3 x + (-16)

y = - 5/3 x + (-16), m = - 5/3

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The values of x and y are not in a linear relationship.

Given,

x y

1 4.3

2 8.6

3 12.9

4 16.3

The linear relationship between x and y can be determined by using,

[tex]y=kx\\k=\frac{y}{x}[/tex]

Where, k=constant rate of change

If k is same for all values of x and y then the given data are said to be in linear relationship.

At first row,

[tex]k=\frac{4.3}{1} =4.3[/tex]

At second row,

[tex]k=\frac{8.6}{2}=4.3[/tex]

At third row,

[tex]k=\frac{12.9}{3}=4.3[/tex]

At fourth row,

[tex]k=\frac{16.3}{4} =4.075[/tex]

So, the k is not same for all values for x and y. Hence, the given data is non linear

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Answer:

i can't see the pic

Step-by-step explanation:

Answer: 10

Step-by-step explanation: it’s 10 because 2 is a multiple of 10 and 10 is 10 so no change required.

Answer:

LCD = 10

Step-by-step explanation:

7/2 = 35/10

3/10 = 3/10

Answer:

42

Step-by-step explanation:

1.25x = 52.5  Divide both sides by 1.25

x = 42

The probability of choosing the biased coin if you win a prize is 0.3056

To answer this query, we employ the conditional probability formula. It is, where

P(B|A) is the likelihood that event B will occur in the absence of event A.

is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

The following probability applies:

50% chance of winning a prize with the fair coin.

There is a 100-78 = 22% chance of winning a reward with the biased coin.

50% chance of selecting each coin.

What is the likelihood that you would choose the biased coin if you were to win a prize?

Event A: Receiving the award

Choosing the skewed coin is event B.

the likelihood of selecting the skewed coin and obtaining the reward.

p(A∩B) = 0.5 * 0.22 = 0.11

probability of winning the prize:

p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36

conditional probability:

p(B/A) = 0.11/0.36= 0.3056

the probability of choosing the biased coin if you win a prize is 0.3056

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Answer: 9x + 16

Simplify the expression

The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.

We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.

Then the surface area of Cube B = 6a²

Cube B = 6 x 4² = 96

Surface area of Cube A = 6 x 2² = 24

The volume of the cube A = a³ = 2³ = 8 cm³

The volume of the cube B = a³ = 4³ = 64 cm³

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Answer:

49.7

Step-by-step explanation:

FORMULA : A = (b1 + b2)h/2

base 1 = 4.2

base 2 = 10

4.2 + 10 = 14.2

height = 7

14.2 x 7 = 99.4

99.4/2 = 49.7

The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 ​.

According to the question,

We have the following equation:

f-2g+3=2f-39+2=1 ​

Now, we will equate both these equations to 1:

f-2g+3 = 1

Subtracting 3 from both sides:

f-2g = 1-3

f-2g = -2 ..(1)

2f-39+2 = 1

2f -37 = 1

Adding 37 to both sides:

2f = 1+37

2f = 38

Dividing by 2 on both sides:

f = 38/2

f = 19

Putting this value of f in equation 1:

f-2g = -2

19-2g = -2

-2g = -2-19

-2g = -21

g = 21/2

g = 10.5

Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1​.

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Answer:

======================

Number of eggs purchased:

Cost of eggs:

Number of eggs sold:

Money made:

Profit or loss?

Percent loss:

The value of the car to be, to the nearest cent, after 11 years is $7641.

Given data;

A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.

To know the value of the car to be, to the nearest cent, after 11 years;

[tex]S(t) = 20300*(0.915)^t[/tex]

[tex]S(11) = 20300*(0.915)^1^1[/tex]

[tex]S(11) = 20300*0.376[/tex]

[tex]S(11) = 7640.61[/tex]

Hence, the value of the car after 11 years is $7641.

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For the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

As given in the question,

Given function is equal to :

4xy-4x+4y³ = -36

Let us consider x and y are function of t.

Now , evaluate the derivative of function with respect to t we get,

4x(dy/dt) + 4y(dx/dt) -4(dx/dt) + 12y²(dy/dt) = 0

⇒( 4x + 12y² ) (dy/dt) + ( 4y -4 ) (dx/dt) = 0

Substitute the value of dx/dt = -16, x = 4 , y = -1 we get,

[ 4(4) + 12(-1)² ](dy/dt) + [ 4(-1) - 4 ] (-16) =0

⇒(16 +12) (dy/dt) + (-8)(-16) = 0

⇒ dy/dt = - ( 8× 16)/ 28

⇒ dy/dt = -32/7

Therefore, for the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.

The complete question is:

Assume x and y are functions of t. Evaluate dy/dt , for 4xy-4x+4y³ = -36, with the conditions dx/dt = -16 , x = 4 , y = -1.

(Type an exact answer in simplified form.)

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To rewrite the expression 12x+8 to find an equivalent expression.

The answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is  equivalent to (x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Step: 1

Here given that,

Rewrite the expression 12x + 8 to find an equivalent expression. Show three possible expressions. What do the rewritten expressions tell you about the relationships among the quantities.

Step: 2

When you rewrite an expression, you are writing an equivalent expression. 

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Hence the answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

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Answer:

Step-by-step explanation:

The equation would be y=25x+ 50 which is linear. Radical expressions have a number under the radical sign which this equation doesn't. Rational expressions have fractions containing polynomials in the numerator and denominator and exponential equations have 'x' as the exponent in a function.

Answer: 5^13

Step-by-step explanation:

1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis

(5^2)^4*5^5

5^8*5^5

2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up

5^8*5^5=5^13

Answer:

Step-by-step explanation:

When adding or subtracting, the matrices must be the same size!

Therefore, B-A is not possible.

Answer: USE the forumla

Step-by-step explanation:

Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'. Its volume (V) can be calculated by using: V = πh/3 [ (R3 - r3) / r ] (OR) V = πH/3 (R2 + Rr + r2)

Order for the given exponential numbers will be:

5.48 x [tex]10^{9}[/tex]

3.24 x 10^{9}

1.2 x 10^{7}

8.34 x 10^{-2}

4.68 x 10^{-6}

What are the exponential functions?

A mathematical function called an exponential function is employed frequently in everyday life. It is primarily used to compute investments, model populations, find exponential decay or exponential growth, and so forth. You will discover the formulas, guidelines, characteristics, graphs, derivatives, exponential series, and examples of exponential functions in this article. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most frequently used exponential function base.

With the highest power in exponential function,

function will be more greater if the numbers multiplied by exponential function are in same order of decimal number.

In given Que,

numbers multiplied are all of 2 decimal number.

So, we can directly compare the values x in e^{x}

i.e. 9 > 7 > -2 > -6

for same value of x: compare value of number multiplied.

Hence, we found out the correct answer.
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