find the quotient of 5/31 divided by 15/23 . reduce your answer to the lowest fraction

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

From the question, we have the following parameters that can be used in our computation:

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

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Answer:

\(A_{new}=(-3,0)\\B_{new}=(0,-1)\\C_{new}=(1,-4)\\D_{new}=(-3,-5)\)

Step-by-step explanation:

Looking at the diagram, you can see and determine the following points, write them down:

A=(-1,4)

B=(2,3)

C=(3,0)

D=(-1,-1)

Translating 2 units left means x changes by (-2)

Translating 4 units down means y changes by (-4)

Old Point + Point Change = New Point

\(A_{old}+T=A_{new}\\A_{old}=(-1,4)\\T=Translation=(-2,-4)\\A_{old}+T=(-1,4)+(-2,-4) = A_{new}=(-3,0)\)

\(B_{old}=(2,3)\\C_{old}=(3,0)\\D_{old}=(-1,-1)\\T=(-2,-4)\\B_{new}=(2,3)+(-2,-4)=(0,-1)\\C_{new}=(3,0)+(-2,-4)=(1,-4)\\D_{new}=(-1,-1)+(-2,-4)=(-3,-5)\)

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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C) We have to calculate the distance from the waiting area to the plane.

From the waiting area they walked 0.1 miles to board the plane.

Answer: from the waiting area to the plane there is a distance of 0.1 miles.

Done

\( \pink{\underline{\boxed{8a²+a-7}}}\)

Solution :-

\(\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+2a-a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\( \Longrightarrow\sf{8a^2+1a-7}\)

\( \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{8a^2+a-7}\)

\(\red{━━━━━━━━━━━━━━━━━━━━━━}\)

The function of the graph is f(x) = x²-3x -10

A quadratic function is a function in which the highest power of it's variable is 2. quadratic equation is given in the form f(x) = ax²+ bx +c

To form the quadratic function from a graph, we need to find the roots of the function from the graph. The root is the point where the curve intercept the x axis.

Therefore the roots are -2 and 5.

f(x) = x² -( z+y)x +zy

where z and y are the roots

z+y = -2 +5 = 3

zy = -2 × 5 = -10

f(x) = x²-3x -10

therefore the function of the graph is f(x) = x²-3x -10

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Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Answer:

2.638, 3.16, 3\(\frac{7}{11}\), \(\frac{73}{20}\)

Step-by-step explanation:

Convert all the numbers as a decimal, this will make it easier to determine which value is greater or not.

Have a great day :)

Answer:

Hey:) Answer is below!

Step-by-step explanation:

Okay so the easiest thing I would do for each of these would be first to simplify them. So for the first one, 73 divided by 20, you could either do it on a calculator or just by long division. As a result, 73 divided by 20 is 3.65. The next two numbers, 2.638 and 3.16 are simplified, so you're good! Now lastly we got a mixed fraction. What you would do first, would be to multiply the left farmost number (in this case, 3) by the bottom number (which is 11). After that you would add the product of 3 and 11 (that would be 33) by 7. 33 plus 7 is 40. Finally, your number would be 40 over 11. Divide 40 by 11 (on a calculator or by long division) and you get 3.63. Now look at all your numbers, it should look like this: 3.65, 2.638, 3.16, 3.63

After that look at the number before the point (that would be 3 in the first one, 2 in the second, 3 in the third, and 3 in the fourth number). You see which one would be the smallest, and in this case it would be the second number, 2.638.  So 2.638 goes first. Then look at the first number after the point for the last three numbers (that would be 6 for the first, 1 for the third, and 6 for the fourth). 1 in the third number is the smallest, so next goes 3.16. (This is the order for now: 2.638, 3.16)

Finally look at the second number after the point for the last two numbers (that would be 5 for the first and 3 for the fourth) 3 in the fourth number is the smallest, so next goes 3.63

As a result, you get this order from smallest to largest:

2.638,3.16, 3 7/11, 73/20

Good luck:))

Answer:

m+5

EXPLANATION:

m=7

5-7=2

m+5=12

m+7=14

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Let the total number of students be x

1/5 of the students does not know how to drive

Therefore, the number of students that does not know to drive is

1/5 * the total number of students

Since the total number of students is x

Then,

1/5 * x

= x /5

Therefore, x/5 of the total students does not know how to drive

The question says find the passage of students that know how to drive

Number of students that can drive = Total number of students - Number of students that cannot drive

Number of students that can drive = x - x/5

Number of students that can drive = 5x - x / 5

Number of students that can drive = 4x/5

To calculate the percentage

Percentage of students that can drive = Number of students that can drive / total number of students x 100

Percentage = 4x/5 / x * 100

Percentage= 4x / 5 * 1/x * 100

Percentage = 4/5 * 100%

Percentage = 0.8 x 100%

Percentage = 80%

The answer is 80%

The percentage of students that can drive is 80%

The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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Answer:

C) 2.421 x 10^-5

Step-by-step explanation:

A negative exponent on a power of ten will make the decimal point go back that amount of times to the left, making it a lesser number. A positive exponent will cause it to move to the right, making the number greater. We aren’t going to need to make any of the numbers being multiplied greater, so we can eliminate the first two. Then we need to solve the others. We can do this by moving the decimal the amount of times that we see the exponent equals. Since C is -5, we move it to the left 5 times, and get the weight of the seed; 0.0002421.

Hope This Helped!

Step-by-step explanation:

If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)

Then take 2.8 miles times 3.5 hours is 9.8 miles

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Answer: 9.8

Step-by-step explanation:

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

1. Ratio

2. Equivalent Ratios

3. Rate

4.Percent

5.Simplify

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.

"Information available from the question",

In the question:

Validity is the extent to which findings may be generalized, while___ validity refers to the ability to infer that there is a causal relationship between variables.

To fill up the blank space:

Now, According to the question:

Let's Know:

Internal and external validity are two ways of testing cause-and-effect relationships.

Internal validity refers to the degree of confidence that the causal relationship being tested is trustworthy and not influenced by other factors or variables.

External validity refers to the extent to which results from a study can be applied (generalized) to other situations, groups, or events.

Now, According to the above statement is:

Hence, Validity is the extent to which findings may be generalized, while Internal validity validity refers to the ability to infer that there is a causal relationship between variables.

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Answer:

1 litter of milk

Step-by-step explanation:

I Hope That This Helps! :)

The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that the expression is,

x + 20 ≤ -10

Rearrange the expression as

x≤ -10-20

x≤ -30

Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

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Answer:

X is 108, infinite

Step-by-step explanation: