What is √x⁵y⁶ expressed in simplified form?
x²y³√x
xy√xy
x²y²√xy
x²y√x

Answer:

The general term of the sequence is

\( { - 1}^{n - 1} \)

Step-by-step explanation:

The sequence above is a geometric sequence

For an nth term in a geometric sequence

\(u(n) = a(r) ^{n - 1} \)

Where n is the number of terms

a is the first term

r is the common ratio

From the above sequence

a = 1

r = -1/1 = -1

The nth term of the sequence is

\(u(n) = 1 ({ - 1})^{n - 1} \\ = { - 1}^{n - 1} \)

Hope this helps you

Answer:

Coplanar is when all 3 points are on the same plane

Noncoplanar is when they are not

For ex:

Coplanar->

.x, .z, and .s are all on the plane R

Noncoplanar->

.x, and .z are on plane R

.s is on plane Y

Answer:

−3x + y = −7       y - 9 = 5 (x - 1)

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-1) / 4 - 2

6/2

= 3

slope intercept: −3x + y = −7

y - 9 = 5 (x - 1)

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

the answer is 1.5 hrs

Step-by-step explanation:

if your qouestion is Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. How long does it take until Elena and Jada meet?

Answer:

9.42

Step-by-step explanation:

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

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

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

Answer:

p= 121

Step-by-step explanation:

p\(\alpha\) \(\frac{1}{q^{2} }\)

p=k/\(q^{2}\)

k=p\(q^{2}\)

Get the value of your constant k

k=(16)(\(11^{2}\))

k= 1936

p= \(\frac{1936}{q^{2} }\)

When q=4

p=  \(\frac{1936}{4^{2} }\)

p= 121

Answer:

I think its C

Step-by-step explanation:

The value of rate does he need to invest at in order to earn the $400 in interest is,

⇒ R = 4%

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mr. Smith needs to earn $400 in interest on a $5000 investment.

And,  He can invest the money for two years.

Since, We know that;

Interest = PRT / 100

Substitute the given values, we get;

400 = 5000 × R × 2/100

⇒ 40,000 = 10,000R

⇒ R = 4

Thus, The value of rate does he need to invest at in order to earn the $400 in interest is,

⇒ R = 4%

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Answer: A rational number is not always an integer, but an integer is ALWAYS an rational number

Step-by-step explanation:

-> A rational number is a number that can be expressed as the ratio of two integers. For example, 1/2, 3/4, and 5/6 are all rational numbers.

However, a rational number is not always an integer. An integer is a whole number, whereas a rational number can be a fraction with a non-zero denominator.

-> For example, 1/2 is a rational number, but it is not an integer because it is a fraction with a non-zero denominator. On the other hand, 1 is a rational number and an integer because it can be expressed as the ratio of two integers (1/1).

So in summary, a rational number is not always an integer, but all integers are rational numbers.

Answer:

4

Step-by-step explanation:

You can create little buckets.

2.4(x-5)+1.5*5=1.9x

x=9 and then you substitute for x-5.

9-5 =4

The quantity of trail mix that can be combined with 5 lb of $1.5/lb trail mix to get $1.9/lb trail mix is 1.74lb

let

5lb = $1.5

x - 5 = $2.4

2.4(x - 2) + 1.5(5) = 1.9(x)

2.4x - 4.8x + 7.5 = 1.9x

-2.4x + 7.5 = 1.9x

7.5 = 1.9x + 2.4x

7.5 = 4.3x

x = 7.5 / 4.3

x = 1.74418604651162

Approximately,

x = 1.74

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Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

The percentage decrease from 30 to 3 would be = 90%

Percentage of a value can be defined as the representation of part of that value per 100 with a sign of % attached to it.

The value decrease = 30-3 = 27

Therefore the percentage of 30 that make up 27 would be = 27/30 × 100/1

= 2700/30

= 90%

Therefore, in conclusion, the percentage decrease from 30 to 3 = 90%.

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The populations that experienced more births than deaths over the five years is the population with a green curve.

When a population experiences more births than death, it leads ot a population explosion and rapid population growth.

As shown in the graph, the population of the in green has higher numbers / year than those in the red.

Thus, it is correct to state that by looking at the graph, the populations that experienced more births than deaths over the five years is the population with a green curve.

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Answer:

116

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360 degrees, so:

79+55+110+x=360

244+x=360

x=116

Answer:

2/3x

Step-by-step explanation:

This is a simple ax graph. all we need is the slope. the slope is the amount the y goes divided by the amount the x goes. essentially

change in y / change in x

2/3

2/3x

Answer:

1ST star is (0,0)

2nd star is (3,2)

3rd star is (6,4)

4th star is (9,6)

Step-by-step explanation:

I HOPE THIS HELPS SORRY I TOOK SO LONG

The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The general form of linear equations is:

y = a + bx

Where:

a = intercept

b = slope

The form of the equation that models the cost is:

Total cost = cost of renting the van + [cost per mile x (m - 120 miles)

$598.74 = $183 + [$0.39 x (m - 120)

$598.74 = $183 + $0.39m - 46.80

$598.74 = 136.20 + $0.39m

Thus, they travelled 1186 miles.

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f ' (0) exists if the limit,

\(\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h\)

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

\(\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2\)

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

\(\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2\)

Both one-sided limits match, so f ' (0) = 2.

240 miles

The cost of rent = $25

The charge per mile = $0.15

Let the number of miles be represented by x

The total bill = $61

Total cost = (Cost of rent) + (Charge per mile)(Number of miles)

61 = 25 + 0.15x

61 - 25 = 0.15x

0.15x = 36

x = 36/0.15

x = 240

I drove 240 miles

cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer: Approximately 5.7 cm

The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

We have given function as ,

f(x) = 1/√(x-4)

We have to find f(x) - f(5)/x-5

f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)

= 1/√(5-4)/(x-5)

= (x-5)/√(5-4)

= (x-5)

Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

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Answer:

Can you show a picture? Or like tell us the options?

The solution to the equations are

0 ∈ N is False               7/2 ∈ Q is True

√16 ∈ Q' is False          π ∈ Q' is True

3/2 ∈ I is False              -3 ∈  R is True

0 ∈ I is True                  -1 ∈ I⁺ is False

( 1 - 3 ) ∈ N is False       8/2 ∈ I is True

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

a)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is not a natural number

So , the equation is False

b)

Let the number be A = √16

The value of A = 4

The number 4 is a natural number , whole number , rational number and an integer

4 is not an irrational number

So , the equation is False

c)

Let the number be A = 3/2

The number 3/2 is a rational number

3/2 is not an integer

So , the equation is False

d)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is an integer

So , the equation is True

e)

Let the number be A =  ( 1 - 3 )

The value of A = -2

The number -2 is a rational number and an integer

-2 is not a natural number

So , the equation is False

f)

Let the number be A = 7/2

The number 7/2 is a rational number

7/2 is a rational number

So , the equation is True

g)

Let the number be A = π

The number π  is an irrational number

π is an irrational number

So , the equation is True

h)

Let the number be A = -3

The number -3 is a real number

7/2 is a real number

So , the equation is True

i)

Let the number be A = -1

The number -1 is an integer and real number

-1 is a negative integer

So , the equation is False

j)

Let the number be A = 8/2

The value of A = 4

The number 4 is a natural , whole , integer and rational number

4 is an integer

So , the equation is True

Hence , the equations are solved

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The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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Given that,

The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).

To find,

The perimeter of the rectangle.

Solution,

Let the points are :

A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)

Let's find AB and BC using distance formula :

\(AB=\sqrt{(3-(-1))^2+(1-1)^2} \\\\=4\ \text{units}\)

\(BC=\sqrt{(3-3)^2+(-4-1)^2} \\\\=5\ \text{units}\)

The perimeter of a rectangle = 2(sum of two adjacent sides)

= 2(AB+BC)

= 2(4+5)

= 18 units

So, the perimeter of the rectangle is 18 units.

Answer:

1) x cordinate x= 2

2) y cordinate y = -1

b)the point of intercowegwjpoeg is (2,1)

Step-by-step explanation:

Answer:

U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |

Step-by-step explanation: