In the triangle above, the console of p degrees is 0.8 what is the sine of q degrees

The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

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Answer:

its C. do you need an explanation? i could give one if you want

Step-by-step explanation:

Answer:

0.89

Step-by-step explanation:

The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, mean  = 110, standard deviation = 8

P = \(\frac{x_{mean}-x }{SD}\)

P = (110 - 108)/8

P = 2/8 = 0.25

P(Z<0.25) = 0.5 - 0.25 = 0.25

Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

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The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

1.4

Step-by-step explanation:

7 ÷ 5 = 1.4 or 7/5 as a fraction

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

This can be solved using a linear equation.

Original Equation: x+40 = 3.50x

Subtract "X" from both Sides: 40 = 2.5X

Divide both sides by 2.5  X = 16.

Therefore, Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.

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To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Step-by-step explanation:

6b x>=1

6c y>7

7a x>3

7b -2<=2x<6

-1<=x<3

answer:-1,0,1,2,3

Answer:

21 y power 5

Step-by-step explanation:

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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angle is 105

(3x-15) =105

solve for x

3x=105+15

3x=120

x=120/3

x=40

answer is

Answer:

the time at which P =15 is \({t_o = 0.54161 \ years}\)

the time at which P =20 is \({t_1 = 0.59914 \ years}\)

the doubling time \({t = 0.138629 \ years}\)

Step-by-step explanation:

From the information we are being provided with:

The quantity P i.e \(P(t) = e ^{5t}\)

In order to determine the time at which P = 15, we have the following:

\(t= t_o\)    when P = 15

∴ \(e^{5t_o} = 15\)

\(5t_o= In (15)\)

\(t_o = \dfrac{1}{5}In 15\)

\(t_o = \dfrac{1}{5} \times 2.70805\)

\({t_o = 0.54161 \ years}\)

Hence, the time at which P =15 is \({t_o = 0.54161 \ years}\)

In order to determine the time at which P = 20, we have the following:

\(t= t_1\)    when P = 20

∴ \(e^{5t_1} = 20\)

\(5t_1= In (20)\)

\(t_1= \dfrac{1}{5}In (20)\)

\(t_1 = \dfrac{1}{5} \times 2.9957\)

\({t_1 = 0.59914 \ years}\)

Hence, the time at which P =20 is \({t_1 = 0.59914 \ years}\)

The doubling time at t = 0, mean P = 2

∴ \(e^{5t} = 2\)

\(5t= In (2)\)

\(t= \dfrac{1}{5}In(2)\)

\(t = \dfrac{1}{5} \times0.693147\)

\({t = 0.138629 \ years}\)

Hence, the doubling time \({t = 0.138629 \ years}\)

Answer:

b

Step-by-step explanation:

Answer:

x=417.6

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5x+78.2=287

Step 1: Subtract 78.2 from both sides.

0.5x+78.2−78.2=287−78.2

0.5x=208.8

Step 2: Divide both sides by 0.5.

0.5x   divided by 0.5

208.08 divided by 0.5

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

5f (*￣3￣)╭

Step-by-step explanation:

Answer:

I don't see the question but I'll explain

Step-by-step explanation:

If you're solving for f(5), plug 5 into the x in the equation and solve for y. (f(5) is y)

answer

symbolic materials ?

Answer:

the percent error in the student's measurement is 4.65%.

Step-by-step explanation:

The percent error can be calculated using the formula:

| (measured value - actual value) / actual value | * 100%

In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:

| (2.7 - 2.58) / 2.58 | * 100% = 4.65%

Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.

Therefore, the percent error in the student's measurement is 4.65%.

Answer:

The answer is 5

Step-by-step explanation:

When you are simplifying you take a number the highest number and put it into it for example 7 goes In to 35, 5 times. So the simplified answer would be 5.

Answer: 7:40

Step-by-step explanation:

Add all of the kids candy bars, then see how much John has. The ratio is 35:200, but we need to simplify it. Thus, we will find the GCF (greatest common factor).⬇️This is the work on how I got the answer⬇️

The GCF of 35 and 200 is 5

Divide both terms by the GCF, 5:

35 ÷ 5 = 7

200 ÷ 5 = 40

The ratio 35 : 200 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

35 : 200 = 7 : 40

Therefore:

35 : 200 = 7 : 40

Step-by-step explanation:

\( \tan(67) = \frac{x}{7} \\ 2.355852366 = \frac{x}{7} \\ x = 16.49 = 16.5\)

Answer:

B

Step-by-step explanation:

If both signs are the same (++,--), then you subtract.

If the two signs are different(+-,-+), then you add.

As a result, the new rectangle's dimensions are 8 inches long and 10 inches wide.

A rectangle's perimeter (P) is the sum of the lengths of its four sides. A rectangle possesses two equal lengths as well as two equal widths since its opposite sides are equal.

Given data:

Perimeter of the rectangle = 2(length + width)

Put the values:

26 = 2(8 + x)

26 = 16 + 2x

26 - 16 = 2x

10 = 2x

x = 10/2

x = 5 inches

For the New rectangle:

Length = 8 inches (same)

Twice of wide = 2*(5 inches) = 10 inches

As a result, the new rectangle's dimensions are 8 inches long and 10 inches wide.

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Complete question:

Timur cuts out a rectangle that has a perimeter 26 inches and a length of 8 inches. He cuts out another rectangle that is the same length and twice as wide. Find the new dimensions.

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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Answer:   Choice D

Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.

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

Explanation:

Refer to the diagram below. It's a visual representation of what choice D is describing.

The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.

If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.

If you land in circle P, then you land in circle D.

But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.

This is how we reach the conclusion that he did not protrice a hocethorn

For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".

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

Here's another example of modus tollens

We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.