1 1/4 +1 1/2 pls answer

Answer:

Yes, this is a geometric sequence with common ratio 1/4.

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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Answer:

m∠B=52

∘

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}

Buggita backtracked 134 units on the number line

Average speed = 13.4 units per minute

Buggita slunk 32 units on the number line

Average speed = 32 / 5 = 6.4 units per minute

A. To find how far Buggita backtracked, we need to find the distance between 100 and -34 on the number line. The distance between two numbers on a number line is the absolute value of their difference, so:

Distance = |100 - (-34)| = |100 + 34| = 134

Therefore, Buggita backtracked 134 units on the number line.

average speed

Average speed = distance / time

In this case, the distance is 134 units and the time is 10 minutes, so:

Average speed = 134 / 10 = 13.4 units per minute

B. To find how far Buggita slunk, we need to find the distance between -34 and -66 on the number line.

Distance = |-34 - (-66)| = |-34 + 66| = 32

Therefore, Buggita slunk 32 units on the number line.

average speed

Average speed = distance / time

Where

distance is 32 units and

time is 5 minutes,

Average speed = 32 / 5 = 6.4 units per minute

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Answer: (0, 16)

Step-by-step explanation:

y = mx + c

c is the y intercept

from the equation, c = 16

(it's not exactly mx but you don't need to solve for x)

The result of solving the equation ax - b = cy for 2 is x = (2 + b)/ (a + 0) or x = (2 + b)/a. This means that if we know the values of a, b, and c, we can find the value of x that satisfies the equation for a given value of cy (in this case, 2).

The given equation is:

ax - b = cy

To solve for 2, we substitute 2 for cy and simplify:

ax - b = 2

ax = 2 + b

x = (2 + b)/a

Since a + 0 = a, we can substitute a + 0 for a in the expression above:

x = (2 + b)/ (a + 0)

So, the result of solving the equation ax - b = cy for 2 is:

x = (2 + b)/ (a + 0) or x = (2 + b)/a

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Answer:

12

Step-by-step explanation:

Answer:

Mia can buys 12.4 songs.

Step-by-step explanation:

25 - 9.50 = 15.50

15.50 : 1.25 = 12.4

Lerchs-Grossman algorithm is a pit optimization software that helps in the determination of the most profitable final pit outline. The section of a copper porphyry ore body given has a cut-off grade of 0.45% Cu. Each block has dimensions of 16m x 16m x 16m (HxLxW).

The cost of mining a block of waste is $50, and the value of a block of ore is approximated to be $100 x (grade expressed in %). Firstly, we have to calculate the net present value (NPV) for all the blocks that are above the cut-off grade. NPV is calculated using the formula given below:

NPV = ((grade*100)*100)-50

Here, the cost of mining a block of waste is $50 and the value of a block of ore is approximated to be $100 x (grade expressed in %).

1. Firstly, the net present value (NPV) of each block above the cutoff grade is calculated.2. The blocks are then sorted in descending order of their NPVs.

3. Next, the algorithm calculates the limits of the pit at a sequence of levels, starting with the block of highest NPV.

4. It is assumed that the pit will extend downwards through the blocks from the highest NPV downwards.

5. If the pit reaches the edge of the ore body before reaching a certain level, it is truncated and the lower level is tried.

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The amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.

Given,

Two waves are described by:

3₁ (2, 1) = (0.30) sin(5z - 200t)] and

g (z,t) = (0.30) sin(52-200t)

+ =]

where OA A, 0.52 m and v= 40 m/s

OB A=0.36 m and

v= 20 m/s OC

A=0.60 m and

v= 1.2 m/s OD.

A = 0.24 m and

v= 10 m/s

DE A=0.16 m and

= 17 m/s

The amplitude of a wave is the distance from its crest to its equilibrium. The amplitude of the resultant wave is calculated by adding the amplitudes of the individual waves and is represented by A.

The expression for the resultant wave is given by f(z,t) = 3₁ (2, 1) + g (z,t)

= (0.30) sin(5z - 200t)] + (0.30) sin(52-200t)

+ =]

f(z,t) = (0.30) [sin(5z - 200t) + sin(52-200t)

+ =]

Therefore, A = 2(0.30) = 0.60 m/s

The speed of a wave is given by the product of its wavelength and its frequency. The wavelength of the wave is the distance between two consecutive crests or troughs, represented by λ. The frequency of the wave is the number of crests or troughs that pass through a given point in one second, represented by f.

Speed = λf

The wavelengths of the given waves are OA = 0.52 m,

OB = 0.36 m,

OC = 0.60 m,

OD = 0.24 m,

DE = 0.16 m

The frequencies of the given waves are OA :

v = 40 m/s,

f = v/λ

= 40/0.52

= 77.0 Hz

OB : v = 20 m/s,

f = v/λ

= 20/0.36

= 55.6 Hz

OC : v = 1.2 m/s,

f = v/λ

= 1.2/0.60

= 2.0 Hz

OD : v = 10 m/s,

f = v/λ

= 10/0.24

= 41.7 Hz

DE : v = 17 m/s,

f = v/λ

= 17/0.16

= 106.25 Hz

The speed of the resultant wave is the sum of the speeds of the individual waves divided by the number of waves. Therefore,

Speed of the resultant wave = (40 + 20 + 1.2 + 10 + 17)/5

= 17.64 m/s

Hence, the amplitude of the resultant wave is 0.60 m/s and its speed is 17.64 m/s.

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The amplitude of the resultant wave and its speed are to be determined.

Let's use the formula of the resultant wave, where,

A is amplitude, f is frequency, v is velocity and λ is wavelength of the wave.

A = \([(OA^2 + OB^2 + OC^2 + OD^2 + DE^2 + 2(OA)(OB)(cosθ) + 2(OA)(OC)(cosθ) + 2(OA)(OD)(cosθ) + 2(OA)(DE)(cosθ) + 2(OB)(OC)(cosθ) + 2(OB)(OD)(cosθ) + 2(OB)(DE)(cosθ) + 2(OC)(OD)(cosθ) + 2(OC)(DE)(cosθ) + 2(OD)(DE)(cosθ))]^{1/2\)

where, cosθ = [λ1/λ2] and λ1, λ2 are the wavelength of the two waves.

The velocity of the wave is given by the relation v = fλ

We can calculate the velocity of the resultant wave by using the above formula and calculating the value of wavelength of the wave.

Here, we are given λ for each wave. Speed = 40 m/s

Amplitude of the resultant wave= \([ (0.52^2 + 0.36^2 + 0.6^2 + 0.24^2 + 0.16^2 + 2(0.52)(0.36) + 2(0.52)(0.6) + 2(0.52)(0.24) + 2(0.52)(0.16) + 2(0.36)(0.6) + 2(0.36)(0.24) + 2(0.36)(0.16) + 2(0.6)(0.24) + 2(0.6)(0.16) + 2(0.24)(0.16) )]^{1/2\)

=\([ (0.2704 + 0.1296 + 0.36 + 0.0576 + 0.0256 + 0.3744 + 0.624 + 0.2496 + 0.1664 + 0.1296 + 0.0864 + 0.0576 + 0.144 + 0.096 + 0.0384) ]^{1/2\)

=\([ (2.2768) ]^{1/2\)

= 1.51 m/s

Therefore, the amplitude of the resultant wave is 1.51 m/s and the speed of the wave is 1.51 m/s.

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A 30-60-90 triangle is a special type of right triangle that has angles of 30 degrees, 60 degrees, and 90 degrees. It has the following properties:

The side opposite the 30-degree angle is half the length of the hypotenuse (the side opposite the 90-degree angle).

The side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.

To find the sides of a 30-60-90 triangle, you can use these properties.

If you know the length of the hypotenuse (the side opposite the 90-degree angle), you can find the length of the other two sides using the following formulas:

The side opposite the 30-degree angle: hypotenuse / 2

The side opposite the 60-degree angle: (√3) * (hypotenuse / 2)

If you know the length of one of the other two sides, you can use the above formulas to find the length of the hypotenuse and the other side.

For example, if you know the length of the side opposite the 30-degree angle, you can find the length of the hypotenuse by multiplying it by 2 and the length of the side opposite the 60-degree angle by multiplying it by √3

In summary:

The hypotenuse is always twice the length of the shorter leg.

The longer leg is √3 times the length of the shorter leg.

The hypotenuse is always the longest side in a 30-60-90 triangle.

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

To determine the number of ways the little league manager can form a 9-player batting order from a team of 12 children, we can use the concept of permutations.

Since the order of the players in the batting order matters, we need to calculate the number of permutations of selecting 9 players from a pool of 12.

The formula to calculate permutations is:

P(n, r) = n! / (n - r)!

where:

In this case, we want to find P(12, 9), which represents the number of permutations of selecting 9 players from a pool of 12.

P(12, 9) = 12! / (12 - 9)!

= 12! / 3!

Calculating the factorials:

12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

Simplifying the calculation:

P(12, 9) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)

= 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4

= 199,584,000

Therefore, the little league manager can form a 9-player batting order in 199,584,000 different ways.

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Answer:

4550.4 ?

Step-by-step explanation:

I'm not sure tho dddd

Answer: Check out the graph below

The graph is a straight line through the points (0,6) and (1,8)

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

Explanation:

Plug in x = 0 to find that...

y = 2x+6

y = 2(0)+6

y = 0 + 6

y = 6

The point (0,6) is on the line

---------

Repeat for x = 1

y = 2x+6

y = 2(1)+6

y = 2 + 6

y = 8

The point (1,8) is also on the line

---------

Now plot the two points together on the same xy grid.

Draw a straight line through the two points. Stretch the line as far as you can in either direction. See below. I used GeoGebra to make the graph. It's a free graphing app.

Desmos is another useful free graphing tool. There are many options if you don't have a graphing calculator.

the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Answer: 7

Step-by-step explanation:

If you draw it out, you can visually tell it's 5 units, but you can also tell by looking at the two distinct y values, -2 and 5. The distance between them is 7 units, as you take the absolute value of both of them, then add to get 7.

The solution is Option A.

The solutions of the trigonometric equation sin (x) = sec (x) is none because the range of sine is −1 ≤ y ≤ 1. Since 2 does not fall in this range, there is no solution

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

sin ( x ) = sec ( x )   be equation (1)

On simplifying the equation , we get

sin ( x ) = 1 / cos ( x )

Multiply by cos ( x ) on both sides of the equation , we get

sin ( x ) cos ( x ) = 1

Now , the value of the trigonometric equation sin ( 2x ) = 2sin ( x ) cos ( x )

So , Substituting the values in the equation , we get

2sin ( x ) cos ( x ) / 2 = 1

sin ( 2x ) / 2 = 1

Multiply by 2 on both sides of the equation , we get

sin ( 2x ) = 2

Now , The range of sine is −1 ≤ y ≤ 1

So , there is no solution for the equation

Hence , the solution to the trigonometric equation is none

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The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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The required value of the sample standard deviation of given data is 62.895.

A standard deviation (or σ) is a proportion of how distributed the information is comparable to the mean. Low standard deviation implies information are grouped around the mean, and exclusive expectation deviation demonstrates information are more fanned out.

Using the formula:

Where: xi = sample value; μ = sample mean; n = sample size

Calculate the mean first:

μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5

  = 102 / 5

μ = 20.4

Then, Using the mean, calculate (xi - μ)² for each value:

(12.0 - 20.4)² = 70.56

(18.3 - 20.4)² = 4.41

(29.6 - 20.4)² = 84.64

(14.3 - 20.4)² = 37.21

(27.8 - 20.4)² = 54.76

Sum the squared differences and divide by n - 1.

μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76

  = 251.58 / 5-1

μ = 62.895

Thus, required  the sample standard deviation for these data is 62.895.

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Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Answer:A

Step-by-step explanation:

I just did it in my head

Answer:

B

Step-by-step explanation:

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

-(m-g)/p =x

Answer:

f(x)= 12x   where x is the number of hours worked (only whole numbers)

Domain= {10,11,12,13,.............., 25}

Range = { $ 120, $ 132,  $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228,        $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}

Step-by-step explanation:

Let x be the number of hours worked then the function will be

f(x)= 12 (x)       for {x=10,11,12,13,.............., 25}

x cannot taken any fractional value or decimal value.

The domain of the function is the input values

Domain= {10,11,12,13,.............., 25}

Now range of the function is the set of all possible output values

f(10)= 12 *10= $ 120

f(11)=  12 *11= $ 132

f(12)=  12 *12= $ 144

f(13)=  12 *13= $ 156

f(14)=  12 *14= $ 168

f(15)=  12 *15= $ 180

f(16)=  12 *16= $ 192

f(17)=  12 *17= $ 204

f(18)=  12 *18= $ 216

f(19)=  12 *19= $ 228        

f(20)=  12 *20= $ 240

f(21)=  12 *21= $ 252

f(22)=  12 *22= $ 264

f(23)=  12 *23= $ 276

f(24)=  12 *24= $ 288

f( 25) = 12*25= $ 300

Range = { $ 120, $ 132,  $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228,        $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}

Answer:

X=4 , Y=3

Step-by-step explanation:

suppose,

2x-3y=-1...(I) and

y=x-1

or, x-y=1...(ii)

let's do: (ii)×2-(i)

2x-2y=2

2x-3y=-1

(-) (+) (+)

_______

y =3

let's put the value of y in (ii)

x-3=1

or, X=1+3

so, X=4

To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

Answer:

(6, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (6, - 3 ) ← solution

The mathematical equation in the statement is (c) -10(r  + 12.5) = 60.5

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

Negative ten times the sum of a number and 12.5 is 60.5.

Represent the number with r

So, we have the following representation

Negative ten times the sum of r and 12.5 is 60.5.

Mathematically, this statement can be expressed as

-10 * (r  + 12.5) = 60.5

Hence, the expression is -10(r  + 12.5) = 60.5

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Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-  False

2- true

3- false

4- true

5-  true

Answer: C. I hope this helps ❤️.

Answer:

the correct answer is c

Step-by-step explanation: