What is the product of (–0.9)(–2.4)? –3.3 –2.16 2.16 3

Input data

S=(3x+47)°

T= (5x+21)°.

Answer:

22.75 or A

Step-by-step explanation:

145.7-122.95=22.75

Answer:

A!. 22.75

Step-by-step explanation:

We can write the given statement as inequality as -

-(x/9) < 12

Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.

Reversal property : If (a > b) then (b < a) and  if (a < b) then (b > a).

Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).

The general equation of a straight line is y = mx + c

Other possible equations of lines are -

We have the following statement -

"the quotient of a number and three minus twelve is less than 12".

We can write the inequality as -

-(x/9) < 12

Therefore, we can write the given statement as inequality as -

-(x/9) < 12

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The six trigonometric functions are:

cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3

Let's find the trigonometric values using the given angles:45-45-90 triangle.We know that for a 45-45-90 triangle, the sides are in a ratio of 1:1:√2 and the angles are 45°, 45°, and 90°.

Now, we are to find the trigonometric function values of the angles.cos (-5π/4) = cos (-π/4)Using unit circle, the terminal side of angle -π/4 in the fourth quadrant makes a reference angle of π/4.

The coordinates are (-√2/2, -√2/2).cos (-π/4) = -√2/2sec (-2π/3)The angle -2π/3 is in the third quadrant.

The reference angle of -2π/3 in the triangle is π/3.

Using the 30-60-90 triangle, we know that the sides are in the ratio of 1:√3:2 and the angles are 30°, 60°, and 90°.In the 30-60-90 triangle, we have: sec θ = 2/cos θsec (-2π/3) = 2/cos (π/3) = 2/1/2 = 4cos θ = 1/2

Using the coordinates on the unit circle of π/3, the adjacent side is 1/2cos θ = 1/2sin θ = √3/2tan θ = sin θ/cos θ = √3cot θ = 1/tan θ = 1/√3cosec θ = 1/sin θ = 2/√3.

The six trigonometric functions are:

cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3

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To know which girl ate the most, we have to compare the two fractions.

To be able to compare the fractions, we can:

1.- We convert to decimal numbers.

2.- We modify the fractions such that both fractions have the same denominator.

To compare the fraction we will change them in a way that both have the same denominator.

Recall that a fraction represents the same number if we multiply it and divide it by the same number.

Notice that:

Since both fractions are the same, we can conclude that both girls ate the same amount.

Answer: 3/6 is equal to 4/8.

Both girls ate the same amount

The work required to pump out all the water is approximately 15625π² foot-pounds, if we calculate it using an integral.

The volume V of a half-cylinder is given by the formula V = 1/2 * π * r² * h,

The radius r = 10/2

= 5 feet

the volume is V = 1/2 * π * (5 ft)² * 20 ft

= 250π cubic feet.

The weight w = ρV

= 62.5 lb/ft³ * 250π ft³

= 15625π pounds.

The weight of this strip is dw = ρ * dV

= 62.5 * dV

= 62.5 * π * r² * dy.

W = ∫ from 0 to 5 of 62.5 * π * r² * y dy

= ∫ from 0 to 5 of 62.5 * π * (25 - y²) * y dy

= 62.5 * π * ∫ from 0 to 5 of (25y - y³) dy

= 62.5 * π * [ (25/2)y² - (1/4)y⁴ ] evaluated from 0 to 5

= 62.5 * π * [ (25/2)*25 - (1/4)*625 - 0 ]

= 62.5 * π * [ 312.5 - 156.25 ]

= 62.5 * π * 156.25

= 15625π² ft-lbs.

So, the work required to pump out all the water is approximately 15625π² foot-pounds, if we calculate it using an integral.

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So, the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3.

A can of soda can be modeled as a right cylinder, which is a three-dimensional geometric shape with two circular bases that are connected by a curved surface. The volume of a cylinder can be calculated using the formula:

V = πr^2h

Where V is the volume, π is a constant (approximately equal to 3.14), r is the radius of the base and h is the height of the cylinder.

Given that the radius of the can is 2.6 cm and the height is 9.2 cm, we can substitute these values into the formula:

V = π (2.6 cm)^2 (9.2 cm)

To get the area of the base we need to square the radius and multiply by π, and then multiply it by the height to get the volume.

V = π * 6.76 * 9.2 = 61.99 cm^3

So the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3. This means that the can can hold 62 cubic centimeters of liquid.

It's worth noting that this is an approximation and the real value of π is not 3.14. Also, this answer is based on the assumption that the can is a perfect cylinder with no other gaps or spaces.

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Answer:

your answer is 2.

Step-by-step explanation:

3+6/2+2-3*2

3+3+2-3*2

3+3+2-6

6+2-6

8-6

2

Basically, follow PEMDAS (parenthesis, exponents, multipulcation, division, addition, and subtraction.) You move from left to right, Always remember that, ok.

0 0

 U

The recommended improvement is to introduce a placebo control (e.g., water) for Group B.

Here, we have,

To improve the experiment and research questions, introducing a placebo control (e.g., water) for Group B would be a valuable addition. This ensures that any observed differences in performance between the two groups are specifically attributable to the Awesome Drink Energy Juice and not influenced by other factors such as placebo effects or the act of consuming a beverage.

By including a placebo control, Group B would receive a drink that appears similar to the Awesome Drink Energy Juice but lacks the active ingredients or properties claimed to enhance performance. This allows for a more rigorous comparison between the effects of the energy juice and the placebo, providing a clearer understanding of the true impact of the intervention.

The improved research question would then be: Does the Awesome Drink Energy Juice improve Biochemistry performance compared to a placebo control?

Including a placebo control strengthens the experiment by providing a more robust comparison and addressing potential confounding variables that may affect the results. It helps to isolate the specific effects of the Awesome Drink Energy Juice and provides more reliable evidence of its impact on performance.

Therefore, the recommended improvement is to introduce a placebo control (e.g., water) for Group B.

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complete question:

The students in a Biochemistry class aren't performing as well as they could and the lecturer thinks that their grades can be improved by having students drink Awesome Drink Energy Juice. The lecturer splits the students into two groups, group A and group B: Group A receives the Awesome Drink Energy Juice and Group B does not. He asks them to complete as many Biochemistry problems as possible in one hour. At the end of one hour, Group A completed 27 problems and Group B completed 41 problems. How could his experiment (and research questions) be improved? Introduce a placebo control (e.g. water) for Group B O Add an additional control group that had good performance Make grades the dependent variable O Introduce a placebo control (e.g. water) for Group A O Add an additional control group that had low performance O Make grades the independent variable

Answer:

After buying additional hair bands, Colleen can own a total of 43 hair bands.

Step-by-step explanation:

Solving this problem entails of finding out the total number of hair bands Colleen can own, based on the amount she already owns and how many more she purchases. Start by reading the problem carefully to break down the information provided.

We know that Colleen already owns twenty eight hair bands. This is important to remember to include. The problem also states that she has a total of fifteen dollars and each individual hair band is priced at one dollar.

Because the hair bands are only a dollar, Colleen can purchase an additional fifteen hair bands.

Setting up an equation will help us solve. Here is how we could set up the equation:

(amount of hair bands already owned = 28) + (number hair bands bought = 15) = (total number of hair bands owned = x)

28 + 15 = x

The equation is now in place. Solve by adding both terms. This is how you will reach the answer.

28 + 15 = x

43 = x

This means that Colleen will have 43 hair bands in total, after purchasing fifteen hair bands.

Answer:

A=0

B=0,3

C=9,3

D=9,0

Step-by-step explanation:

Multiplies all the vertices bay scale factor 3/2

The probability of event C or event D occurring is 1, or 100%.

To find the probability of the events C or D occurring, we need to consider the following formula:

P(C or D) = P(C) + P(D) - P(C and D)

Given that C and D are mutually exclusive events, which means they cannot occur at the same time, the probability of their intersection, P(C and D), is 0.

Therefore, we can simplify the formula as:

P(C or D) = P(C) + P(D)

Substituting the given values, we have:

P(C or D) = 2/5 + 3/5

Combining the fractions, we get:

P(C or D) = 5/5

Simplifying further, we have:

P(C or D) = 1

Therefore, the probability of event C or event D occurring is 1, or 100%.

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Answer:

(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ (5^-2/2^3)^4 ⋅ 2^28

= (2^-16 ⋅ 5^10 ⋅ 1)⋅(5^-8 / 2^12) ⋅ 2^28

= 2^(-16-12+28) ⋅ 5^(10-8)

= 2^0 ⋅ 5^2

= 1 ⋅ 25

= 25

Step-by-step explanation:

Answer:

(C)\(47.5^\circ\)

Step-by-step explanation:

In the circle, the measure of arc ED is the measure of an angle subtended by arc ED at the centre.

Angle EFD on the other hand is an angle subtended by arc ED on the circumference.

We have a circle's theorem that states:

The angle subtended by the arc at the centre is twice the angle subtended by the same arc at the circumference, therefore:

\(m\angle ED=2 \times m\angle EFD\\95^\circ=2 \times m\angle EFD\\m\angle EFD=95 \div 2\\m\angle EFD=47.5^\circ\)

Answer:

its 47.5

Step-by-step explanation:

i got it right on edge

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

The effect under the scenarios are:

Total Dividend = $17,500

Dividend per Share = Total Dividend / Number of Shares

= $17,500 / 2,000

= $8.75 per share

Effect on Share Price:

Typically, when a dividend is paid, the stock price tends to decrease by the amount of the dividend. Therefore, the stock price per share would decrease by the dividend per share:

New Stock Price per Share = Current Stock Price - Dividend per Share

= $64 - $8.75

= $55.25

New Shares Outstanding = Current Shares Outstanding - Number of Shares Repurchased

= 2,000 - 273.44

= 1,726.56 shares

New Stock Price per Share = Total Amount Spent / New Shares Outstanding

= $17,500 / 1,726.56

= $10.14

EPS = Earnings / Number of Shares

= $1.89 / 2,000

= $0.000945

The PE (Price-to-Earnings) ratio is calculated by dividing the stock price per share by the EPS. Let's calculate the PE ratio under each scenario:

PE Ratio before the decision = Stock Price / EPS

= $64 / $0.000945

= 67772.49

PE Ratio with Extra Dividend = New Stock Price per Share / EPS

= $55.25 / $0.000945

≈ 58413.92

PE Ratio with Share Repurchase = New Stock Price per Share / EPS

= $10.14 / $0.000945 ≈ 10727.51

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The problem statement entails designing an object counter by industry using a combination of digital circuits, a BCD to 7-segment display circuit, and a switch to control the circuit. The objective is to create a system that counts objects passing through and displays the count on a 7-segment display.

To begin, let's outline the design process:

1. Problem Statement: Design an object counter that counts from 0 to 9 and displays the count on a 7-segment display. The circuit should include a switch to manually trigger the count and automatically count objects passing through.

2. Truth Table: A truth table is a tabular representation that shows the output for all possible input combinations. In this case, since we are using 4 variables for input, the truth table will have 4 columns representing the input variables (A, B, C, D) and an additional column for the count output (Y).

3. Karnaugh Map: A Karnaugh map is a graphical representation that simplifies the Boolean expressions derived from the truth table. It helps in reducing the number of gates required for the circuit design and optimizing the system.

4. Final Digital Circuit: Based on the simplified Boolean expressions obtained from the Karnaugh map, we can design the final digital circuit using logic gates (such as AND, OR, and NOT gates) and flip-flops to implement the object counter.

5. BCD to 7-Segment Display Circuit: This circuit takes the binary-coded decimal (BCD) output from the object counter and converts it into the corresponding 7-segment display code. It allows us to visualize the count on the 7-segment display.

6. Circuit Simulation: To validate the design, we can use NI MULTISIM, a circuit simulation software, to simulate the behavior of the circuit. This helps in verifying the functionality and correctness of the design before implementing it in hardware.

In conclusion, the object counter by industry is a system that counts objects passing through and displays the count on a 7-segment display. It utilizes a combination of digital circuits, a BCD to 7-segment display circuit, and a switch for manual or automatic triggering. The design process involves creating a truth table, simplifying the Boolean expressions using a Karnaugh map, designing the final digital circuit, and incorporating the BCD to 7-segment display circuit. Simulation using NI MULTISIM ensures the circuit's functionality before implementation.

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The value of x is  = - \(\frac{1 - y}{5}\)  from the given equation ,-5x+y=1

Given data :

-5x+y=1

Move y to the right side

-5x = 1 - y

Divide both side by -5

\(\frac{-5x}{-5}\) = \(\frac{1}{-5}\) - \(\frac{-y}{-5}\)

x = - \(\frac{1 - y}{5}\)

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Answer:

Step-by-step explanation:

6x-10x^2+3-(5x^2+3x-4)

when there is a - in front of an expression in (), change the sign of each term in the expression

6x-10x^2+3-5x^2-3x+4

now collect like terms

3x-10x^2+3-5x^2+4

3x-15x^2+3+4

3x-15x^2+7

now use the commutative property to reorder the terms

-15x^2+3x+7

=-15x^2+3x+7

35kg - 3500g

3500g - 2500g

= 1000g

Answer:

1 : 14

Step-by-step explanation:

The measures must have the same units, that is both g or Kg

2500 g : 35 Kg

= 2500 g : 35000 g ( 1 Kg = 1000 g )

Divide both parts by 100

= 25 : 350 ( divide both parts by 25 )

= 1 : 14

The  distance John would have to walk to get from point A to point B without going through the pond is 60.84 meters.

Since, John walks 36 m south and 49 m east which covered the distance equal to the hypotenuse of a right triangle

Using the Pythagorean theorem

c² = a² + b²

c² = 36² + 49²

c² = 1296 + 2401

c² = 3697

c = √3697

c = 60.84 m

Thus, the distance is 60.84 meters.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

76% and 76/100 or 19/25

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

\(\rm a_n=3+a_n_-_1\) and

\(\rm a_1=5\)

\(\rm a_n-a_n_-_1= 3\)

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

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Answer:

About $2.27

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

$2.27

Step-by-step explanation

First, find the unit price

3.78/5=.756

Then find the cost for 3 pound

.756X3=2.268

Round

$2.27 for 3 pounds

Hope this helped :)

The probability that the second card is a jack given that the first card was a 2 is 52/51.

To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.

When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.

The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:

P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)

Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.

The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.

P(Second card is a jack | First card is a 2) = (4/51) / (4/52)

Simplifying the expression:

P(Second card is a jack | First card is a 2) = (4/51) * (52/4)

P(Second card is a jack | First card is a 2) = 52/51

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Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

Answer:

1.75 or 1 and 3/4. I hope this helped.

Answer:

2.19230769231

Step-by-step explanation:

turn that into a fraction use internet