Create an equivalent expression for 17^-7 • 17^5.


1/17²
1/17-²
17²
-17²

Please please pleaseee! I’m so dead if I don’t get this!

Using inequality, we know that Mia needs to buy 41 sets of knives.

So, the number of sets of knives Mia could buy:

At least 657 knives are required by the restaurant, so:

The difference is:

Now, solve as follows:

Rounding off: 41

Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.

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Given:

Numbers in the container: All integers from 10 to 50

Let's find P(Prime numbers| numbers between 11 and 30).

Here, we are to find the conditional probability.

Apply the formula:

P(Prime|between 11 and 30) = P(prime numbers and between 11 and 30) ÷ P(numbers between 11 and 30).

Where:

• Prime numbers between 11 and 30 = 11 , 13 , 17 , 19 , 23 , 29 =6 numbers

• Intergers from 10 to 50 = 41 integers.

To find the probability, we have:

Therefore, we have:

P(Prime|between 11 and 30) = 3/10.

ANSWER:

D. 3/10

Answer:

1. Fact that all individuals are created equal and are endowed by their creator with certain unalienable rights is a clear statement in the Declaration of Independence.

2. Aim of having a government is to safeguard these rights,  the people have the right and the duty to alter, abolish, or over through that government.

3. The Decoration of Independence lists the grievances that the government has failed to resolve and reconcile with the colonies.

4. The decree was made to become an autonomous nation and the motives for asserting independence are listed in the grievances.

The picture is represented by the absolute value function g(x) = |x - 5| - 4. (Correct choice: A)

Absolute values are functions defined by the following piecewise function:

The function in the picture is the consequence of the following rigid transformations:

Now we proceed to obtain the image of f(x):

Horizontal translation

f'(x) = |x - 5|

Vertical translation

g(x) = |x - 5| - 4

The picture is represented by the function g(x) = |x - 5| - 4.

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With the concepts of ratio, Siu's height is 121 cm tall.

We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part to part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.

A ratio is a comparison between two amounts that often uses a fraction.

Considering that the fraction has been simplified,

Given that Siu's height is 5x

Tai's height is 6x.

Now, 6x= 145

Thus, x= 145/6

Now, Siu's height is 5x

Then, its height is (145 ×5)/6= 120.8 cm

Siu's height is 121 cm because it must be rounded to the closest centimeter.

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The solution to the inequalities given are graphed in the diagram attached below.

When graphing an inequality, a full circle is used when the sign involved is "≤ or ≥", while an empty circle is used to indicate the point on the graph when the inequality sign is "< or >".

The inequalities would be solved as shown below:

15. ¾x + 5 > 11

Subtract 5 from both sides

¾x > 11 - 5

¾x > 6

3x > 24

Divide both sides by 3

3x/3 > 24/3

x > 8

16. -5/6x - 1 ≥ 14

Add 1 to both sides

-5/6x ≥ 14 + 1

-5/6x ≥ 15

-5x ≥ 90

Divide both sides by -5

x ≤ -18

17. 5x - 2 ≤ -7

Add 2 to both sides

5x ≤ -7 + 2

5x ≤ -5

x ≤ -1

18. 6 - x ≤ 14

Subtract 6 from both sides

-x ≤ 14 - 6

-x ≤ -8

x ≥ 8

19. 4 - 1/3x > 11

Subtract 4 from both sides

-1/3x > 11 - 4

-1/3x > 7

-x > 21

x < -21

20. (x + 11)/-2 < -2

x + 11 < 4

Subtract both sides by 11

x < 4 - 11

x < -7

See the image below for the graph of the solution to each inequality given.

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Part A

start by naming the variables you will be using in the system of equation

x= number of two-point baskets

y= number of three-point baskets

since she did 23 baskets the first equation representing the number of baskets she made will be

the second equation will be for the points, taking into account that x is 2 points and y is 3 points and she made 53 points.

Part B

Since the equations are not in the slope-intercept form they will be more complicated to graph, which using substitution it will be faster to find the solution of the system.

However both methods could be used.

Part C

Answer:

10.5

Step-by-step explanation:

The 5 chicken wings will cost $10.5 to Enola.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Price of 14 chicken wings bought by Enola = $29.40.

To find the price of 5 wings,

Use ratio property,

Price of 14 chicken wings = $29.40

Price of 1 chicken wing = 29.40 / 14

                                       = 2.1

Price of 5 chicken wings = 2.1 x 5 = 10.5

The price of the 5 chicken wings is $10.5.

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The third option is the correct method that solves for the variable r in the equation

Given the equation: 3/8r+ 2 = 14

Subtract 2 from both sides:

3/8r = 12

Multiply both sides by 8:

3r = 12 x 8

3r = 96

Divide both sides by 3:

r = 96/3 = 32

Therefore, the method that solve the variable r in the equation correctly is the third option.

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Considering the definition of parallel line, a line that is parallel to y=2x-4 and passes through the point (1, 1) is y= 2x -1.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other and never touch.

Two lines are parallel if they have the same slope "m" and different y-intercepts "b".

In this case, the line is y=2x -4

where:

Since two lines are parallel if they have the same slope, the parallel line has a slope of 2 and has a form of: y= 2x + b

The line passes through the point (1, 1). Replacing in the expression for parallel line:

1= 2×1 + b

1= 2 + b

1 -2= b

-1 = b

Finally, the equation of parallel line is y= 2x -1 .

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The equivalent expression of the perimeter in two terms is 44 + 4x

From the question, the area of the garden is given as

A = 15(2x + 7)

The area of a rectangle is calculated using

A = LW

Where

Length = L

Width = W

This means that

L = 15

W = 2x + 7

The perimeter of the rectangular garden is then calculated as

P = 2 * (L + W)

So, we have

P = 2 * (15 + 2x + 7)

Evaluate

P = 2 * (22 + 2x)

This gives

P = 44 + 4x

Hence, the perimeter is 44 + 4x

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Complete question

Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garden.

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7).

Answer: C = 35 + 15 x 3 = 80

Step-by-step explanation:

15h = 15 x (h) = 15 x 3 = 45 + 35 = $80

C = (15 x 3) + 35 = 80

Answer:

[tex]x = 4 \pm \sqrt7[/tex]

Step-by-step explanation:

Hello!

Standard form of a Quadratic: [tex]ax^2 + bx + c= 0[/tex]

Given the Equation: [tex]x^2 -8x+9=0[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex]

Solve by substituting the values into the Quadratic Formula.

The solution to the quadratic is [tex]x = 4 \pm \sqrt7[/tex].

Using trigonometry, it is found that:

1. Graph 2 shows an angle in which cos(θ) = -8/17 and sin (θ) is negative.

2. The angles are θ = 157.38º and θ = 202.62º, as shown in Graph 1.

3. Graph 3 shows an angle of θ = 315º.

In item 1, it asks for an angle in which both the sine and the cosine of the angle are negative. This happens in the third quadrant, hence Graph 2 shows an angle in which cos(θ) = -8/17 and sin (θ) is negative.

The secant of an angle is given by one divided by the cosine of the angle, that is:

sec(θ) = 1/cos(θ)

Considering the numeric value of the secant in this problem, we have that:

-13/12 = 1/cos(θ)

-13cos(θ) = 12

cos(θ) = -12/13

The cosine is negative in the second and the third quadrant, hence graph 1 shows these equivalent angles.

Applying the inverse cosine, the angles are given as follows:

θ = arccos(-12/13)

θ = 157.38º and θ = 202.62º. (two equivalent angles).

An angle of 315º is on the fourth quadrant of the unit circle, hence Graph 3 shows this angle.

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The rate of pounds per hour of the machine is 1.5 pounds per hour

From the question, we have the following parameters:

Pounds of nails = 2 1/4 pounds of nail

Number of hours = 1 1/2 hour

From the above parameters, the rate of pounds per hour can be calculated using the following formula of constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Pounds of nails/Number of hours

In this case, we have

Rate of pounds per hour = Pounds of nails/Number of hours

Substitute the known values in the above equation

Rate of pounds per hour = (2 1/4)/(1 1/2)

So, we have

Rate of pounds per hour = 1.5

Hence, the rate is 1.5 pounds per hour

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Answer:

1 1/2

Step-by-step explanation:

2 1/4 divide 1 1/2 is 1 6/12

1 6/12 simp —-> 1 1/2 (1.5)

Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Please:
Please Give Brainlist

Part (a)

distance = rate*time

rate = distance/time

rate = 84/4

rate = 21

Answer: 21 mph

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

Part (b)

distance = rate*time

distance = 21*7

distance = 147

Answer: 147 miles

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

Part (c)

distance = rate*time

time = distance/rate

time = 57/21

time = 2.71428571428571

time = 2.714

Answer: Approximately 2.714 hours

Answer;

A.21:1

B:147 Miles

C.2.7 hours or 182 minutes

Amount invested by Katelyn = $4000

rate = x%

time = x + 2 years

n = number of times compounded

n = annually = 1

We need to find the function that models the total amount

To find the function, we will apply the compound interest formula:

substitute the values into the formula:

let the function that represents the total amount = f(x)

The measure of the lableled angles are x = 202 and  (x - 44) = 158

Before we can solve this question, we need to understand the geometry of the shape.

The shape we have here is a pentagon. The sum of angles in a pentagon is 540.  The angle with a red square is a right angle and the value is 90.

Therefore:

x + 90 + 90 + (x - 44) = 540

x + 180 + x - 44 = 540

2x + 136 = 540

2x = 540 - 136

2x = 404

x = 404/2

x = 202

Also:

(x - 44) = 202 - 44 = 158

Therefore, the angles x and (x - 44) measure 202 and 158 respectively.

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The unknown value x in the polygon is equal to 112 degrees.

The sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.

Since one of the indicated sides is a right angle, we can sum everything up and solve for x

Mathematically;

[tex]90 + 90 + x +(x - 44) = 360[/tex]

Solving the equation above;

[tex]180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112[/tex]

The value of x in the figure given is 112.

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A) A function rule for the total cost T, including the mandatory examination, for a dog to stay at the hotel for n days is; T = 25n + 15

B) The total cost to stay for 6 nights is; $165

C) No, 3 night does not cost half as much as the cost for 6 nights due to the addition mandatory cost of $15.

We are told that a pet hotel charges $25 per night to keep a dog. We are also told that there is a mandatory $15 examination fee when the dog arrives there.

A) If the number of nights spent is n, then the function rule here for the total cost  is;

T = 25n + 15

B) We are told that the number of nights is 6 nights. Thus, we will just plug in 6 for n into the total cost equation to get;

T(6) = 25(6) + 15

T(6) = $165

C) The cost of 3 nights would be;

T(3) = 25(3) + 15

T(3) = $90

This is more than half of the cost of 6 nights.

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we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

The Solution:

Given the graph of f(x), we are required to determine whether the degree of the function is ODD or EVEN, and also to determine whether the function itself is ODD.

An odd function is defined as a function that has f(–x) = –f(x) for any value of x. The opposite input gives the opposite output.

From the given graph of f(x), the function f(x) is ODD.

The degree of the function f(x) is odd since the f(x) itself is odd.

The answer of this question is Indian Ocean

It is the Arctic Ocean.

18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.

These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.

Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.

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The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

Given,

A triangle ABC with vertices A(2,3) , B(4,-5), and C(-1,2)

To find the coordinates of the vertices of each figure after a reflection over the given axis.

Now, According to the question:

We should know that:

You should know that you can predict changes in coordinates after translations without a graph or anything like that.

(x, y) reflected over the x axis = (x, -y)

(x, y) reflected over the y axis = (-x, y)

(x, y) rotated 90 degrees around the origin = (y, -x)

(x, y) rotated 180 degrees around the origin = (-x, -y)

(x, y) rotated 270 degrees around the origin = (-x, y)

So here's our set of points.

A(2,3) , B(4,-5), and C(-1,2)

Here's those points reflected over the x axis.

A' (2, -3) B' (4, 5) and C' (-1, -2)

Hence, The coordinates of the vertices after the reflection over the x-axis are A' (2, -3) B' (4, 5) and C' (-1, -2)

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The correct equations which can be used to represent when she will be able to purchase the bicycle she wants are:

Given, Eva wants to buy a bicycle.

The cost of bicycle is = $250

Saving's of Eva = $125

Eva plans on washing cars for $25 per car.

Eva wash 'c' cars to have enough to purchase the bicycle.

cost of bicycle = saving's of Eva + Eva washing 'c' cars for $25 per car.

⇒ 250 = 125 + 25c

arrange the like terms on one side.

⇒ 250 - 125 = 25c

⇒ 125  = 25c

⇒ 25c = 125

⇒ c = 125/25

⇒ c = 5

hence Eva washes 5 cars to earn $125 which gets added to the savings and becomes the cost of the bicycle she wants to purchase.

⇒ cost of bicycle = 125+25(5)

⇒ cost of bicycle = 125+125

⇒ cost of bicycle  = $250

Hence we got the required answers.

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The time taken for Montraie to travel a distance of 88 miles is 2 hours.

Speed is simply referred to as distance traveled per unit time.

It expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we determine the speed of Montraie.

Speed = Distance ÷ time.

Speed =  220 miles ÷ 5 hours

Speed = 44 miles per hour.

Now, time spent in traveling a distance of 88 miles will be;

Speed = Distance ÷ time

Time = Distance / Speed

Time = 88 miles / 44 miles per hour

Time = 2 hours

Therefore, the elapsed time is 2 hours.

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If Montraie drove 220 miles in 5 hours. If he continued at the same rate, then it takes 2 hours to travel 88 miles.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Montraie drove 220 miles in 5 hours.

We need to find how long it would take to reach 88 miles.

Let us form a equation based on given data.

Let x be the time to reach 88 miles.

We need to find value of x.

220/5=88/x

Apply cross multiplication

220x=440

x=440/220

x=2

Hence it takes 2 hours to travel 88 miles with same rate.

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Line 2 has a positive slope with respect to the angle made with the x-axis.

Slope refers to the tan of the angle with the x-axis. For example. if the line makes an angle β with the x-axis, then the slope is the tan β.

Now taking line 1,

The line is parallel to the x-axis, therefore the line makes 0 angles with the axis which gives slope 0.

Now taking line 2,

The line passes to the origin and has the equation x=y, thus the slope is 1

Now taking line 3,

The line is parallel to the y-axis, therefore the line makes 90°, thus the slope is 1/0 which gives infinity.

Now taking line 4,

The line is making an angle of 60°, therefore the line is having a slope:       - [tex]\sqrt{3}[/tex]

Hence considering the above values, line 2 has a positive slope only.

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Answer:

6.50 × 65 tickets.

Answer = $422.5

The theater sells 43 adult tickets and 22 child tickets.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let us assume,

The number of adult tickets sold is x

The number of tickets sold for children is y

Since the total number of tickets sold is 65,

x + y = 65 .....(i)

Charge per adult ticket=$10.50,

So the amount collected by selling adult tickets is 10.50×x

Charge per child ticket=$6.50,

So the amount collected by selling tickets for children is 6.50×y

We know that the total amount earned by the theater is $594.50

So, 10.5x +6.5y = 594.50  ......(ii)

After solving equations (i) and (ii), we get the values of x and y as

x = 43 and y = 22

Therefore, the theater sells 43 adult tickets and 22 child tickets.

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If they meet in 2 hr the rate of the slower car is 86.

What is rate?

rate is the ratio between two of  related quantities in the  different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.

Sol- as per the given question

{d =380

{t=2

Substitute {d=380 formula

                 {t=2

d=v×t

380=2v

=2(18+2x)=380

Apply the distributive property

36+4x=380

Rearrange variables to the left side of the equation

4x=380-36

4x=344

Divided both side of the equation by the coefficient of variable

X=344/4

By cross out the common factor we get

X=86

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