how do you find the value of √a⁴ ??
(ill give brainliest)

Answer:

Appendix

Step-by-step explanation:

Answer:

appendix is the answer on edge 2020

Step-by-step explanation:

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Answer:

1st slide:

A. a translation 5 units to the left

B.translation 7 units down

2nd slide

A. Wider than and opens in the opposite direction of

B. Narrower than and opens in the same direction as

3rd slide

1,-5,3

4th slide

A. Right, 8

B. Down,6

5th slide

Sample response:complete the square to get the equation in vertex form with a=-16, h=1, and k=19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

6th slide

The upside down U with the y axis to the right

7th slide

A. 1,-5

B. -3,2

8th slide

A. 1 1

B. 1

C. 2

9th slide

3,1

10th slide

4,-32

2,-15

11th slide

Step-by-step explanation:

The translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given equations are y = x and y = x + 5. When the two equations are plotted on the graph it is observed that the line of the equation y = x + 5 lies on the left side of the line y = x of about 5 units.

Therefore, the translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

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Answer:

500 sq. ft

Step-by-step explanation:

20 ft x 25 ft = ? ft

500 ft = ? sq. ft

25x0=0

25x2= 50

25x20=500

Answer:

Cindy's backyard has an area of 20 feet x 25 feet = 500 square feet. Therefore, Cindy needs 500 square feet of sod to cover her entire backyard.

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

405 - 217 by converting the number in the decimal form and repeated dividing by 8 we get 272 in base eight.

To convert the difference 405 - 217 to base eight (octal), follow these steps:

Convert the numbers to decimal form:

405 (decimal) - 217 (decimal)

Calculate the difference:

405 - 217 = 188

Convert the difference (188) to octal:

Divide 188 by 8 repeatedly and record the remainders until the quotient becomes 0.

188 ÷ 8 = 23 remainder 4

23 ÷ 8 = 2 remainder 7

2 ÷ 8 = 0 remainder 2

Write the remainders in reverse order to get the octal representation:

The octal representation of 188 is 272.

So, 405 - 217 is equal to 272 in base eight.

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The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

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Answer: 9

Concept:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.

In other words, the median of a set of data is the middlemost number or center value in the set.

Solve:

STEP ONE: Line up the terms in the set from least to most

Given = 2, 7, 10, 8, 9, 10, 15

Line up = 2, 7, 8, 9, 10, 10, 15

STEP TWO: Find the middlemost number

Given = 2, 7, 8, 9, 10, 10, 15

Since it is an odd set, therefore there should be the equal number of terms in the lower and higher half.

There are in total seven terms, therefore, the 4th term would be the middlemost, which is \(\boxed{9}\).

Hope this helps!! :)

Please let me know if you have any questions

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= \(\frac{4}{5*8}\)

= \(\frac{4}{40}\)

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= \(\frac{2}{5*4}\)

= \(\frac{2}{20}\)

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

Step-by-step explanation:

2x+7 = x+3 what is x????

2x + 7 = x + 3

2x - x  = 3 - 7

x = -4

-------------------------

2(-4)+7 = -4 + 3

-8 + 7 = -4 + 3

-1 = -1

same value the answer is good

the slope of the line that passes through (54, 82) and (-16, 5) is: -2



To find the slope of a line, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Using the given point, we have:

slope = (5 - 82) / (-16 - 54)
slope = (-77) / (-70)
slope = 11/10

However, we need to simplify this answer as requested. We can simplify 11/10 as follows:

11/10 = 1 and 1/10

Therefore, the slope of the line that passes through (54, 82) and (-16, 5) is -2 (as an integer).



The slope of the line is -2, which means that the line is decreasing (or sloping downwards) as we move from left to right.
Hi! I'm happy to help you with your question.

To find the slope of the line that passes through the points (54, 82) and (-16, 5), you'll use the slope formula:

m = (y2 - y1) / (x2 - x1)

In this case, the coordinates are (x1, y1) = (54, 82) and (x2, y2) = (-16, 5). Plug these values into the formula:

m = (5 - 82) / (-16 - 54)

Now, we'll simplify:

m = (-77) / (-70)

Finally, reduce the fraction to its simplest form:

m = 11/10

The slope of the line that passes through the points (54, 82) and (-16, 5) is 11/10.

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The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

The figure consists of

Two hemispheres

A cylinder

The volume of the hemisphere = (2/3)πr³ , where r is its radius

The volume of the cylinder = πr²h, where r is its radius and h is its height

∵ The diameter of the hemisphere s and the cylinder is 20 units

∵ The radius =  1/2 diameter

∴ The radius = (1/2) × 20 = 10 units

∵ The volume of a hemisphere = (2/3) πr³

∵ r = 10

- Substitute r by 10 in the rule

∴ The volume of a hemisphere =  (2/3)π(10)³

∵ The volume of the cylinder = πr²h

∵ h = 28 and r = 10

Substitute h by 28 and r by 10 in the rule

∴ The volume of the cylinder = π(10)²(28)

∵ The volume of the figure = 2(volume of a hemisphere) +

  volume of the cylinder

∴ The volume of the figure = 2( 2/3 )π(10)³ + π(10)²(28)

∵ 2 × (2/3)  = 4/3

∴ The volume of the figure =  (4/3) π(10)³ + π(10)²(28)

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28)

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The complete question is:

Which expression represents the volume, in cubic units, of the composite figure?

(Four-thirds)π(103) + π(102)(28)

(Four-thirds)π(203) + π(202)(28)

2(Four-thirds)π(103) + π(102)(28)

2(Four-thirds)π(203) + π(202)(28)

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) can be found by considering the unit circle and the properties of cosine.

Since the cosine function represents the x-coordinate of a point on the unit circle, we can look for the angles where the x-coordinate is -(sqrt2/2).

One such angle is 135 degrees (or 3π/4 radians), where the cosine is equal to -(sqrt2/2). At this angle, the x-coordinate of the corresponding point on the unit circle is -(sqrt2/2).

Another angle with the same x-coordinate is 225 degrees (or 5π/4 radians). At this angle, the cosine is also equal to -(sqrt2/2).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians). These angles satisfy the given equation and have the desired x-coordinate on the unit circle.

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The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.

Calculate the volume of water displaced:

The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.

Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:

Volume = π * radius^2 * height

Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).

Therefore, the volume of water displaced by the bug is:

Volume = π * (0.005 m)^2 * 0.005 m

Calculate the weight of the water displaced:

The weight of the water displaced is equal to the buoyant force acting on the bug.

Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity

The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

So, the weight of the water displaced is:

Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²

Calculate the maximum mass of the bug:

The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:

Maximum mass = Weight of water displaced / acceleration due to gravity

Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²

Now, let's plug in the values and calculate the maximum mass of the bug:

python

import math

radius = 0.005  # in meters (5 mm)

height = 0.005  # in meters (5 mm)

density_water = 1000  # in kg/m³

acceleration_due_to_gravity = 9.8  # in m/s²

volume = math.pi * radius**2 * height

weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity

maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity

maximum_mass_grams = maximum_mass * 1000  # converting to grams

print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")

Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.

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The ratio of harmburger order to hot dog orders in the school cafeteria is 15:10. The ratio can be simplified below

we have to divide both ratio by the greatest common factor. The greatest common factor of the ratio 15 and 10 is 5. Therefore,

The ratio to the lowest term is 3:2

The equation that relates the volume of water and the total ingredient volume is the one in option C, it is written as:

t = 4*w

So we know that the volume of water before mixing is 25% of the total ingredient volume.

So if we define the variables:

Then we know that w is equal to the 25% of t.

Then the relation can be written as:

w = (25%/100%)*t

Where we divide the percentage by 100% so we write a decimal number instead of a percentage.

Now we can simply it so we get:

w =  (25%/100%)*t

w = 0.25*t

Now we can isolate t to get:

t = (1/0.25)*w

t = 4*w

So the correct option is C.

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Answer:

40 cm

Step-by-step explanation:

Can I have brainliest?

Answer:

40cm²

Step-by-step explanation:

To solve this, you need to use the formula:

Area = (base x height) ÷ 2

So,

Area = (8 x 10) ÷ 2

Area = 80 ÷ 2

Area = 40cm²

Hope this helps! :)

A single discount of 24% is equivalent to two successive discounts of 20% and 5%.

To find the single discount equivalent to two successive discounts of 20% and 5%, we can use the concept of the single equivalent discount rate.

Let's assume the original price of an item is $100. The first discount of 20% reduces the price by \(20/100 \times $100 = $20\), leaving us with a price of $80.

The second discount of 5% is applied to the reduced price of $80. This discount reduces the price by \(5/100 \times $80 = $4\), resulting in a final price of $76.

Now, we need to find the single discount rate that would yield the same final price of $76 if applied to the original price of $100.

Let's assume the single discount rate is 'x'. Using the formula \((1 - x/100) \times 100 = $76\), we can solve for 'x'.

Simplifying the equation, we have (1 - x/100) = 76/100.

Cross-multiplying, we get 100 - x = 76.

Rearranging the equation, we find x = 100 - 76 = 24.

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The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

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(a) There is no extreme value of A subject to the given constraint,

(b) For x = 0, y + z² ≤ 16.

y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.

For x = ±y, z = 4 - y².

y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.

When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.

Therefore, one should exclude the value of zero from the domain of the function or expression.

In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.

Let's find the partial derivatives of A with respect to x, y, and z.

∂A/∂x = 3

∂A/∂y = 2y - 2 = 2(y - 1)

∂A/∂z = 0

Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.

\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)

Substituting the values of the partial derivatives, we get:

\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)

The second and third equations are contradictory. So, under the given constraint, A has no extreme value.

In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.

Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.

We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.

2x = λ(2x),

2y = λ(1),

2z = λ(2z).

Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.

Substituting the values of x and λ from the first and second equations into the third equation, we get:

z = 4 - y² or z = 0.

Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:

Case 1: x = 0, y + z² ≤ 16.

So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.

Case 2: x = ±y, z = 4 - y².

So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.

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For the value h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

To determine whether y is in the plane spanned by v1 and v2, we need to check if y can be expressed as a linear combination of v1 and v2.

Let's set up an equation using the vectors v1, v2, and y:

y = av1 + bv2,

where a and b are scalar coefficients to be determined.

Substituting the given values of v1, v2, and y, we have:

[4,-1,h] = a[1,2,-1] + b[-2,-1,1].

Expanding the right side of the equation, we get:

[4,-1,h] = [a,2a,-a] + [-2b,-b,b].

Combining like terms, we obtain:

[4,-1,h] = [a-2b,2a-b,-a+b].

Now, we can set up a system of equations by comparing the corresponding components:

a - 2b = 4,     (1)

2a - b = -1,    (2)

-a + b = h.     (3)

We can solve this system to find the values of a, b, and h.

From equation (2), we can solve for a in terms of b:

2a = b - 1,

a = (b - 1)/2.

Substituting this expression for a into equation (1), we have:

(b - 1)/2 - 2b = 4,

b - 1 - 4b = 8,

-3b = 9,

b = -3.

Substituting the value of b = -3 into equation (2), we find:

2a - (-3) = -1,

2a + 3 = -1,

2a = -4,

a = -2.

Finally, substituting the values of a = -2 and b = -3 into equation (3), we get:

-(-2) + (-3) = h,

2 - 3 = h,

h = -1.

Therefore, for h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

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Step-by-step explanation:

.5 / 1.5    is  1/3       (1/3)^2  = 1/9

Answer: 0.09

Step-by-step explanation:

0.5 ÷ 1.5 = 0.3 0.3squared = 0.09

Answer: p+(-q)

Step-by-step explanation:

Answer:

B $0.75

Step-by-step explanation:

0.75x 3= 2.25

if the hotdogs are 2x as much as the drinks then

0.75x2= 1.50

then if there are 2 hot dogs

1.50x2=3

2.25+3=5.25