what is the solution or -3y+1≥7​

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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The length of an alpha helix with 31 amino acids is approximately 50.6 angstroms.

An alpha helix is a common secondary structure in proteins where the polypeptide chain forms a tightly coiled helical structure. The length of an alpha helix can be calculated using the formula:

Length = (3.6 * number of amino acids)^(1/2)

In this case, the number of amino acids is 31. Plugging this value into the formula, we get:

Length = (3.6 * 31)^(1/2)

      = (111.6)^(1/2)

      ≈ 10.56

However, this value is in units of turns, where one turn is equal to 3.6 amino acids. To convert it to length, we need to multiply by the pitch of the helix. The pitch is the vertical distance between one complete turn of the helix.

The average pitch of an alpha helix is approximately 5.4 angstroms per turn. Multiplying the number of turns by the pitch, we get:

Length = 10.56 * 5.4

      ≈ 57.02

Therefore, the length of an alpha helix with 31 amino acids is approximately 57.02 angstroms.

The length of an alpha helix with 31 amino acids is approximately 57.02 angstroms. This calculation takes into account the formula for calculating the length of an alpha helix and the average pitch of the helix. It is important to note that this is an approximation as the actual length can vary depending on factors such as the specific amino acid sequence and the presence of any structural constraints within the protein.

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Answer:

True

Step-by-step explanation:

same numbers on both sides = equivalent expression

1+2+4 = 7

7-5 = 2

So the first side is 2

-5 + 4 = -1

-1 + 2 + 1 = 2

So the second side is 2

Simplified, this is 2 = 2

This is TRUE because this is an equivalent expression,  demonstrated by the equal sign.

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Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

Answer:

11232 in³

Step-by-step explanation:

24*18*26

The expression -2(3m - 2) - 5 + 4m should be simplified by applying the distributive property first, followed by combining like terms. The simplified expression is -2m - 1.

To simplify the expression -2(3m - 2) - 5 + 4m, we need to determine whether to apply the distributive property first or combine like terms first.

The distributive property states that when a number is multiplied by a sum or difference inside parentheses, it must be distributed or multiplied by each term inside the parentheses.

In this expression, we have -2 multiplied by the quantity (3m - 2). Applying the distributive property would involve multiplying -2 by both terms inside the parentheses: \(-2 \times 3\) m and \(-2 \times -2.\)

On the other hand, we also have 4m in the expression, which is a term with the variable 'm'. Combining like terms involves simplifying expressions that have the same variable and power.

In this case, we have \(-2 \times 3\) m and 4m, which are both terms with 'm'.

To decide whether to use the distributive property first or combine like terms first, we need to prioritize the order of operations. The order of operations dictates that we should perform multiplication before addition or subtraction.

Therefore, we should first apply the distributive property to -2(3m - 2), resulting in -6m + 4. Then we can combine like terms by adding -6m and 4m, resulting in -2m. Finally, we can combine the constant terms by adding -5 and 4, resulting in -1.

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The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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Answer:

57 for the third side

Step-by-step explanation:

a = √(c² - b²)

Answer:

a strong and almost perfect positive linear correlation.

Answer:

18 gallons

Step-by-step explanation:

Answer:

18 gallons

Step-by-step explanation:

To write linear density in Wileyplus, first identify the mass of the linear object, as well as the length of the linear object. Then, divide the mass by the length to calculate the linear density.

To write linear density in WileyPlus, you can use the following steps:

1. First, open the WileyPlus platform and navigate to the assignment or problem you are working on.

2. Next, identify the linear density equation you need to use. The most common equation for linear density is p = m/L, where p is the linear density, m is the mass, and L is the length.

3. Once you have identified the equation, input the values for the mass and length into the equation. For example, if the mass is 10 grams and the length is 2 meters, the equation would be p = 10/2.

4. Solve the equation to find the linear density. In this example, the linear density would be 5 grams per meter.

5. Finally, input the linear density into the appropriate field in WileyPlus. This may be a text box, a drop-down menu, or another type of input field.

By following these steps, you can easily write linear density in WileyPlus. Remember to always double-check your work and make sure that your answer is accurate and complete before submitting it.

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Answer:

A.15/8

Step-by-step explanation:

the answer is 15/8

Answer:

D.

\({ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{ {15}^{2} + {8}^{2} } } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{289} } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{17} }}\)

Answer:

Solution is in attached photo.

Step-by-step explanation:

Do take note for this question, it tests on angle properties such as sum of angles on a straight line and sum of angles in a triangle.

The first graph that we have in this question is the graph that can be used to model the relationship that we have in this table.

In this table we can see that what we are having is a linear equation. First we have to check the slope that lies in any two of the points

This would be;

( 112.5- 75) / ( 3- 2)  = 37.5 and

( 150 -112.50) / ( 4-3) = 37.50

We can have the equation of a straight line as:  y = mx + c

y = 37.50x + c, x = 2

then c = 75 - 75 =0

When plotted on the graph we would have the first graph as the best solution. Hence option 1 is right

Option 1 best fits the graph

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:

£800

Step-by-step explanation:

For this question we need to utilise decimal multiplier. Since this is a decrease question to work out the decimal multiplier you have take 100 away from the percentage and then divide by 100. If this was an increase question then we would had to add 100 to the percentage and then divide by 100. Since the question is asking for the price before the decrease we are going to have to divide the multiplier by the price so,

⇒ Work out the multiplier by taking 100 away from the percentage and then dividing by 100

→ 100 - 20 = 80  ↔  80 ÷ 100 = 0.8

⇒ The multiplier is 0.8, now we have to divide the multiplier by the price

→ 640 ÷ 0.8 = 800

The price of a washing machine was decreased by 20% to £640. The price before the decrease was £800

Answer:

sqrt65

Step-by-step explanation:

I think this is the answer

The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

\(\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\)

Therefore, the image of triangle UVW would be given by this matrix:

\(\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\) \(\left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]\)

Image = \(\left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]\)

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

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Answer:

hi friend

Step-by-step explanation:

The probability of selling less than 2 properties in one week when there are 18 properties and the probability of selling any one property in a week is 0.4 is 0.0003.

Let X be the number of properties sold in a week.

We need to find P(X<2).

P(X<2) = P(X=0) + P(X=1)

Since the probability of selling any one property in a week is 0.4, the probability of not selling any one property is 0.6.

Therefore,

P(X=0) = (0.6)^18 = 0.00000943747 (rounded to 11 decimal places)

P(X=1) = 18(0.4)(0.6)^17 = 0.00029317696 (rounded to 11 decimal places)

P(X<2) = P(X=0) + P(X=1) = 0.00000943747 + 0.00029317696 = 0.00030261443

Rounded to four decimal places, the probability of selling less than 2 properties in one week is 0.0003.

Therefore, there is a very low probability of selling less than 2 properties in a week given the conditions mentioned.

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Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

The 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race is (128.74, 135.26) beats per minute for variance.

To find the 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race, we can use the following formula:

\(CI = x +- (t * (s / \sqrt{n} ))\)

where:
- CI is the confidence interval
- x is the sample mean (132)
- t is the t-value corresponding to the 95% confidence level
- s is the square root of the sample variance (the sample standard deviation)
- n is the sample size (41)

Step 1: Calculate the sample standard deviation
\(s = \sqrt{s^2} = \sqrt{105}\)≈ 10.25

Step 2: Find the t-value for a 95% confidence level with 40 degrees of freedom (n - 1)
Using a t-table or calculator, we find that the t-value is approximately 2.021.

Step 3: Calculate the margin of error
Margin of Error =\(t * (s / \sqrt{n} ) = 2.021 * (10.25 / \sqrt{4} )\) ≈ 3.26

Step 4: Calculate the confidence interval
CI = x ± Margin of Error = 132 ± 3.26
CI = (128.74, 135.26)

So, the 95% confidence interval for the mean heart rate of Chicago Marathon finishers five minutes after completing the race is (128.74, 135.26) beats per minute.

Answer:

I can't see the statements you have to choose from, but the math statement is "x is greater than 40", so we can substitute in Todd's name there.

Todd is greater than 40

So Todd is older than 40, Todd is more than 40 years old are a couple of correct options.

An INCORRECT choice would be "Todd is at least 40 years old", because it's not >/= (x greater than or equal to 40)

Hope this helped. Ask more questions in the comments if you need to.

Step-by-step explanation:

a) The numeric value at x = 4 is given as follows: f(4) = 64.

b) The logarithmic expression is given as follows: x = log2(16).

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = 4(2)^x.

At x = 4, the numeric value is found replacing the lone instance of x by 4, hence:

f(4) = 4(2)^4 = 64.

For the logarithmic expression, we obtain the inverse function, hence:

64 = 4(2)^x.

2^x = 16

x = log2(16).

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yesStep-by-step explanation:

Answer:the second graph or b

Step-by-step explanation:

i got it right on edunity2020

Answer:

its b.

Step-by-step explanation:

just did it

The distance the apple rolled is approximately 9.66 feet.
This is found by using the angle of elevation and the height from which the apple fell.

To find the distance the apple rolled, we can use trigonometry. Given the angle of elevation (35°) and the height from which the apple fell (7 feet), we can set up a tangent function:

tan(angle) = opposite side / adjacent side

In this case, the opposite side is the height (7 feet) and the adjacent side is the distance rolled (which we want to find). Plugging in the values, we get:

tan(35°) = 7 feet / distance rolled

Now, we can solve for the distance rolled:

distance rolled = 7 feet / tan(35°)

Calculating this value gives us:

distance rolled ≈ 9.66 feet

Therefore, the apple rolled approximately 9.66 feet from the tree.

Calculation steps:
1. Set up the tangent function: tan(35°) = 7 / distance rolled
2. Solve for the distance rolled: distance rolled = 7 / tan(35°)
3. Calculate the distance rolled: distance rolled ≈ 9.66 feet

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Answer:

Can I get image of it?

Step-by-step explanation:

Answer:

Image?

Step-by-step explanation:

Answer:

Not solutions.

Step-by-step explanation:

-5x+6y=-5

6y=-5+5x

6y=5x-5

y=5/6x-5/6

-5/6 is about -0.833

And the slope is 5/6.

So for every x there is 5/6y.

This means (1, 4) won't work cause it's too low.

Also 5/6*6=5. this is too low too.

So they aren't solutions.