Using proportios (ratios) find the valure of x.

The exponential function given in this problem represents an exponential decay, and it's asymptote is of y = 0.

An exponential function is modeled according to the rule given as follows:

[tex]y = ab^x + c[/tex]

The parameters of the function are defined as follows:

To verify if the function represents growth or decay, we have to check parameter b as follows:

In the context of this problem, the function is defined as follows:

[tex]y = 14\left(\frac{1}{2}\right)^x[/tex]

Hence the parameters of the given function are as follows:

a = 14, b = 0.5, c = 0.

Then:

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Answer:

Answer down bellow

Step-by-step explanation:

Q's asked: Does the function y equals 14 times the quantity 1 over 2 end quantity to the x power represent exponential growth or decay? What is the equation of the asymptote?

Answer: Decay; y = 0

hope this helps

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Answer:

x = +/-[tex]\frac{\sqrt{291} }{3} -6[/tex]

Step-by-step explanation:

Answer: $10.50

Step-by-step explanation:

Cot of 1 slice a pizza = $1.75

Cost of 6 slices of pizza = 6 × $1.75

=$10.50

Hence, Robert will pay $10.50 for the 6 slices of pizza and $20 for the membership.

The value of x in the equation given as x - 2(x - 6) = -x + 12 is 0

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

x - 2(x - 6) = -x + 12

Open the bracket

So, we have

x - 2x + 12 = -x + 12

Evaluate the like terms

So, we have

x - 2x = -x

This gives

x = 0

Hence, the solution of x in the equation is 0

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Answer: 80

Step-by-step explanation:

72.4 = 724/10

9.38=

938/10.

72.4/9.38

= 7.7

=8 approximately

The estimated quotient of 72.4 ÷ 9.38 is 8

Estimation is the process of calculating the approximate value to make the calculation easier and simple.

The rounding off a number is the process of putting a number up or down to the nearest whole number or the nearest tens, hundred, thousand, etc

First number is 72.4

Round the number to the nearest whole number

72.4 = 72

Second number is 9.38

Round the number to the nearest whole number

9.38 = 9

Divide the number 72 by 9

72/9 = 8

The quotient is 8

Hence, the estimated quotient of 72.4 ÷ 9.38 is 8

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Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex]

The field of mathematics known as probability concerns with numerical representations of the possibility that an event will occur or that a statement is accurate. An event's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty.

Given data

Total number of students available = 17

Number of students selected = 3

C₍₁₈₋₃₎ = [tex]\frac{18!}{3!(18-3)!}[/tex]

C₍₁₈₋₃₎ = [tex]\frac{18(17)(16)}{3(2)(1)}[/tex]

C₍₁₈₋₃₎ = [tex]\frac{4896}{6}[/tex]

C₍₁₈₋₃₎ = 816

Number of ways where students selected are youngest = 1

Probability of three youngest student are selected

= [tex]\frac{1}{C}[/tex]₍₁₈₋₃₎

= [tex]\frac{1}{816}[/tex]

Probability of three youngest student are selected is [tex]\frac{1}{816}[/tex].

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We can simplify the numerical expression to get:

(2/5)*(14 - 27) + (2⁵/16) = -16/5

Here we have the expression:

(2/5)*(14 - 27) + (2⁵/16)

Let's simplify the term in the right first, we know that:

2⁵ = 2*2*2*2*2 = 4*4*2 = 16*2 = 32

Replacing that we get:

(2⁵/16) = 32/16 = 2

Then we get:

(2/5)*(14 - 27) + (2⁵/16) = (2/5)*(14 - 27) + 2

Now we can simplify the term in the left:

(2/5)*(14 - 27) = (2/5)*(-13) = -26/5

Replacing that we get:

(2/5)*(14 - 27) + 2 = -26/5 + 2 = -26/5 + 10/5 = -16/5

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7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

1)

Closure property of multiplication:

It states that if  two real numbers a and b are multiplied, then the product will be a real number as well.

We have 7 × 12 = 72

7, 12 and 72 all are real numbers.

So, it is a closure property under multiplication.

2)

Sum = - 38

a = - 22

We need to find b

a + b = - 38

- 22 + b = - 38

b = - 38 + 22

b = - 16

3)

1 correct answer = 4 marks

1 incorrect answer = - 2 marks

Number of correct answers = 32

Number of incorrect answers = 8

Total score = 32 × 4 + (- 2) × 8

= 128 - 16

= 112 marks.

Therefore, we get that, 7 × 12 = 72 satisfies the closure property of multiplication, the other integer when the sum is - 38 and one integer is - 22 will be - 16 and the total score for Gopi will be 112 marks.

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Answer: 21 containers of ice cream

Step-by-step explanation: simple problem, take 126 and divide it by 6 to get your answer

Answer:

7.719

Step-by-step explanation:

The line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 1 2, then the intersection with the domain is r = -5/3.

The line that passes through the pair of points has the given slope is,

( − 2 , 8 ) , ( r , 4 )  and m = -12

Slope, numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

m = rise/run

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Where,

m = slope

[tex](x_{1} ,y_{1} )[/tex] = coordinates of first point in the line

[tex](x_{2} ,y_{2} )[/tex] =  coordinates of second point in the line

Then, we can find the [tex]m_{1}[/tex]

We can use these two values, ( − 2 , 8 ) , ( r , 4 )

x1 = -2

y1 = 8

x2 = r

y2 = 4

m = [tex]\frac{4-8}{r-(-2)}[/tex]

[tex]m = \frac{-4}{r+2}[/tex]

We can substitute m= -12 value into m= -(4/r+2)

So,

We can write,

-12 =  [tex]\frac{-4}{r+2}[/tex]

We can find the domain,

If the fraction is defined, the dominator can not be equal to zero.

2 + r ≠ 0

Rearrange variables to the left side of the inequality,

r ≠ -2

Append the inequality as the domain,

r ≠ -2

We can solve the equation,

-12 =  [tex]\frac{-4}{r+2}[/tex]

Multiply both sides of equation by the common denominator,

-12 (r+2) =  -4(r+2)/ (r+2)

Reduce the fractions,

-12 (r+2) = -4

Apply the distributive property,

-12r - 24 = -4

Rearrange variable to the left side of the equation,

-12r = -4 + 24

Calculate the sum or difference,

-12r = 20

Divide both sides of the equation by the coefficient of variables,

r = - 20/12

r = -5/3

Therefore,

The intersection with the domain is r = -5/3, so  the line that passes through the pair of points has the given slope. ( − 2 , 8 ) , ( r , 4 ) , m = − 12.

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The △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.

So, △ABC ≅ △DCB:

So, △ABC ≅ △DCB is under SAS condition.

Therefore, the △ABC is congruent to △DCB (△ABC ≅ △DCB) under the SAS condition.

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The expression will be given as -4x² + 3x. Thus, option B is correct answer.

Area may be defined as the total amount of space which is covered by an entity. The area for a square will be given by the product of its sides and the area of the rectangle will be given as the product of its length and breadth. It is given that the area of Maria's garden is 8x² - 3x and the length and breadth of Jamal's garden are 4x - 2 and 3x respectively. The area of Jamal's garden is given by A = l×b  = (4x - 2) × 3x = 12x² - 6x.

Now, difference between Maria's garden and Jamal's garden is given by

(8x² - 3x) - (12x² - 6x)

= 8x² - 3x - 12x² + 6x

=> -4x² + 3x which is the required answer.

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The expression for the number of cups of flour Cindy has left in the cupboard is y = 5 - c.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Let c be the number of cups of flour Cindy needs in her cupboard.

Let y be the number of cups of flour Cindy has left after making the brownies.

Now, the total number of cups in the cupboard is 5.

So, the expression for the total number of cups will be:

c + y = 5

Subtracting c from each side of the equation.

c + y - c = 5 - c

y = 5 - c

Therefore, the expression for the number of cups left is y = 5- c.

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Answer: x < 2

Step-by-step explanation:

    To solve this, we will isolate the variable c.

   Given:

4c < 14 - 3c

   Add 3c to both sides of the equation:

7x < 14

   Divide both sides of the equation by 7:

x < 2

Due to different rates of change in each case, neither graph shows a proportional relationship.

A graph represents a proportional relationship if the output variable y in the y-axis can be written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:

y = kx.

For the first case, the rate of change is of:

k = 4/10 = 0.4.

For the second case, the rate of change is of:

k = 8/10 = 0.8.

Different rates, hence cannot be written as proportional relationship.

Hence the rates for each interval are given as follows:

Different rates, hence it is not a proportional relationship.

The graphs are missing and are given by the image inserted at the end of the answer.

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The number of trees that could be saved is 8 trees.

We know that papers are obtained from trees. The trees have to be cut down and then the Malina from the trees could be used in the production of paper.

It is also possible to save the trees by decreasing the number of trees that have to be cut by the recycling of the paper.  The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers.

If  stack of recyclable newspaper 36 inches high will save one tree;

Let the stack of recyclable newspaper = s

Number of trees = n

s α  n

Introducing a constant of proportionality

s = kn

k = s/n

k = 36 inches/1

k = 36 inches

When the height is  24 feet high of 288 inches

n = s/k

n = 288 inches/36 inches

n = 8 trees

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The scissor has intersecting lines with angles 1,2,3,4.The angles are ∠1=159° and ∠3 is 159°. We got the angle ∠2=21° and ∠4=21°.

Given that,

In the picture there is a scissor.

The scissor has intersecting lines with angles 1,2,3,4.

∠1=159° and ∠3 is 159°.

We have to find the angles ∠2 and ∠4.

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees. There is a unique connection between the angles created when lines intersect.

The straight line has 180°

∠1+∠2=180°

159°+∠2=180°

∠2=180°-159°

∠2=21°

Now,

∠3+∠4=180°

159°+∠4=180°

∠4=180°-159°

∠4=21°

Therefore, the angle ∠2=21° and ∠4=21°.

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Answer:

b. one dimension

Step-by-step explanation:

0 dimensions would be a point.

1 dimension is a line

2 dimensions is an area

3 dimensions is a volume.

Answer:

c=-12

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3c−2=2+c

Step 1: Simplify both sides of the equation.

2/3c−2=2+c

2/3c+−2=2+c

2/3c−2=c+2

Step 2: Subtract c from both sides.

2/3c−2−c=c+2−c

−1/3c−2=2

Step 3: Add 2 to both sides.

−1/3c−2+2=2+2

−1/3c=4

Step 4: Multiply both sides by 3/(-1).

(3/−1)*(−1/3c)=(3/−1)*(4)

c=−12

Answer:

c=−12

The equation that represents the proportional relationship between the number of red paint and white paint is: y = 1/4x.

A proportional relationship between two variables, x and y, where k represents the constant of proportionality or unit rate, can be expressed in  slope-intercept form as: y = kx.

To find the value of k, which is the unit rate, the coordinates of any point on the line can be used and solved as: k = y/x.

Given the graph that represents the relationship between the number of red paint and white paint, we can use a point on the line, say (4, 1) to find k:

Unit rate/constant of proportionality, k = y/x = 1/4.

Substitute k = 1/4 into y = kx:

y = 1/4x.

The equation is: y = 1/4x.

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The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.

The number of squares to correctly represent 245% on the grid is; 245.

It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.

Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;

The percentage, 0.75% can be represented by shading 75 smaller squares.

Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.

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Answer:

C and D. The x-axis is horizontal, the y-axis is vertical. Quadrant 3 is where you would find a point where the x is positive and the y is negative. Quadrant 3 is below the x-axis and is to the left of the y-axis.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

To solve this problem, use the order of operations.

PEMDAS stands for:

112-38*14÷14+109

First thing you do is multiply.

[tex]\sf{38*14\div14}[/tex]

38*14=532

532÷14=38

112-38+109

Add and subtract the numbers from left to right.

[tex]\sf{112-38+109}[/tex]

[tex]\sf{112-38=74}[/tex]

[tex]\sf{74+109=\boxed{\sf{183}}[/tex]

[tex]\Rightarrow \boxed{\sf{183}}[/tex]

Therefore, the correct answer is A. 183.

I hope this helps, let me know if you have any questions.

Answer:

I’m believing it is A. 183

Step-by-step explanation:

is correct don’t you;)

(x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 and 7) 2x² - 4x² - 10​.

What is the long division method?

You can divide huge numbers into numerous smaller groups or portions with the long division tool. The number of groups that can be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.

6) we can simplify the equation 5x³-28x + 13x³ + 5x² + 27x - 10 further,

=  5x³+ 13x³+ 5x²-28x + 27x - 10

=[tex]18x^{3}+5x^{2} -x-10[/tex]

similarly, equation  2x² - 4x² - 10 can further be simplified

= [tex]-2x^{2} +0x-10\\[/tex]

now using the long-division method, in both cases (refer to the photo attached):

After referring to the picture we can conclude that (x-5) is not a factor of  6) 5x³-28x + 13x³ + 5x² + 27x - 10 or 7) 2x² - 4x² - 10​.

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The value of the numbers 3√5•√10+11√5•√10-√5 based on the information is D. 14✓50 - ✓5

It should be noted that based on the information given, we simply want to simplify 3√5•√10+11√5•√10-√5.

This will be illustrated as:

= 3√5•√10+11√5•√10-√5

It should be noted that the numbers inside the square roots will be multiplied. This will be:

= (3√5•√10) + (11√5•√10) -√5

= 3✓50 + 11✓50 - ✓5

= 14✓50 - ✓5

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