Which of the following is not an expression?

A.2x+ 4

B.5–x

C.5x-2 13

D. 3 + x1

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer:

please see the attached picture for full solution...

Hope this helps...

Good luck on your assignment..

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

Answer:

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Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:option a

Step-by-step explanation:multiply all values with 5:

A=(-10,5),b=(10,10) c=(-5,-10)

Hope it helps ❤️

For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

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Answer:

A,C,D

Step-by-step explanation:

I just did it

Answer:

subtract 4 to both sides ending with

x^2+18-4=0

25% w/w solution has 25 grams of solute.

The expression w/w stands for weight by weight. This expression indicates the amount of solute present in solution. Concerning this, 25 gram of KOH or potassium hydroxide is present in 100 gram of solution.

Further elaborating, the amount of solvent will be calculated by the formula -

Amount of solution = amount of solute + amount of solvent

Amount of solvent = 100 - 25

Performing subtraction to find the amount of solvent

Amount of solvent = 75 grams

Thus, the 100 gram of solution has 25 grams solute and 75 grams of solvent.

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Answer:

I haven't done this in a while but wouldn't it just be--

17. X=40

18. X=40

19. X=55

Step-by-step explanation:

Answer:

I think the answer is

t=r/r-3

r=t(r-3)

r=tr-t3

Answer: It is a 2:3 Ratio

Answer:

2/15

Step-by-step explanation:

first you have to make both numbers have an equal denominator the subtract how much that was left from how much she Initially ate

According to the information, it can be inferred that the total surface of the figure is 23.18yr². Additionally, the volume would be 7.8 yr³

To calculate the surface of the figure we must perform the following mathematical procedure.

We must find the surface of each of the faces that the figure has, we do this by multiplying base by height; in the case of triangles it is base times height divided in two.

Now we must multiply these values by the number of faces of this dimension:

Then we add all the surfaces to have the total surface

On the other hand, to find the volume of the figure we must multiply height by length by width; in the case of the triangle it is the same formula because it has a rectangular base.

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Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer: hello

Step-by-step explanation:

Answer:

P = (1/2)(6)(8)/(π(5^2))

= 12/(25π)

= .31 (about 31%)

Hi!

Your answer is "Multiplicative Inverse Property".

We can see that it's multiplying both sides by \(\cfrac{5}{4}\) to get \(x\) by itself.

This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.

When a number is multiplied by its multiplicative inverse, it equals 1.

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Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

The marginal cost at a production level of 1000 toys is $12 per alligator.

To find the marginal cost at a production level of 1000 toys, we need to calculate the derivative of the cost function with respect to the number of toys (x) and evaluate it at x = 1000.

Given that the cost function is C'(x) = 0.001x² + 10x + 4000, we can differentiate it to find the marginal cost function, C'(x):

C'(x) = d/dx (0.001x² + 10x + 4000)

To differentiate each term, we use the power rule:

C'(x) = 0.002x + 10

Now, we can evaluate the marginal cost at x = 1000:

C'(1000) = 0.002(1000) + 10

C'(1000) = 2 + 10

C'(1000) = 12

Therefore, the marginal cost at a production level of 1000 toys is $12 per alligator.

The marginal cost represents the rate of change of the cost function with respect to the number of toys produced. In this case, it tells us how much the cost will increase when producing one additional toy when already producing 1000 toys. The marginal cost captures the additional expenses incurred in producing each additional unit.

It's important to note that the units for marginal cost are in dollars per alligator, indicating the additional cost associated with producing each individual alligator toy.

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Answer:

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Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

The researcher should always consider the probability of committing a Type I error when designing an experiment.

The level of significance is a measure of the probability of committing a Type I error.

So, option C (Reject the null hypothesis—Type I error) is the correct answer.

The researcher should Reject the null hypothesis - Type I error.  

The researcher should Reject the null hypothesis if the computed value of a test statistic exceeds the critical value, i.e. the critical value needed to reject the null hypothesis.

The computed value of the test statistic is -2.53. It falls in the rejection region, i.e., beyond the critical value.

Thus, the researcher can reject the null hypothesis.

So, option C (Reject the null hypothesis—Type I error) is the correct answer.

Note: The Type I error is a type of error that occurs when a researcher falsely rejects the null hypothesis.

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Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

\(\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2\)

\(x=7(2)=14\)

Hope this helps

Answer:

5x + 15

Step-by-step explanation:

5(x + 3) ← multiply each term in the parenthesis by 5

= 5x + 15

"5x+15" is an expression equivalent to "5(x+3)".

If we expand this factorization, the resulting expression is equivalent to the original expression. This is how you expand it:

\(5(x+3)\)

Check the attached image.

\((5)(x)+(5)(3)=\\ \\5x+15\)

3. Conclude.

5x+15 is an expression equivalent to 5(x+3).

The altitude of the cylinder is 6 inch.

The surface area of a cylinder is given by 2πr(r + h) , where r is the radius of the base and h is the height of the cylinder. It is the sum of the areas of the two circular bases and the lateral surface.

The formula for surface area of cylinder is given by:

surface area = 2πr(r+h)

where r is radius of the cylinder and h is the altitude of the cylinder

given h = 2r

so , surface area = 2πr(r+2r)

=> 6πr²

given 6πr² = 54π

=> r² = (54π)/(6π)

=> r² = 9

=> r = 3

so the altitude of the cylinder = 2r

=>2*3

=> 6

so the altitude of the cylinder is 6 inch.

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Answer:

90 mi/h

Step-by-step explanation:

Calculate speed, distance, or time using the formula d = st, distance equals speed times time. The Speed Distance Time Calculator can solve for the unknown sdt value given two known values.

Time can be entered or solved for in units of seconds (s), minutes (min), hours (hr), or hours and minutes and seconds (hh:mm:ss).  

To solve for distance use the formula for distance d = st, or distance equals speed times time.

distance = speed x time

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

distance = rate x time

To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

speed = distance/time

To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

time = distance/speed

Plane speed in still air: 120mph

Wind speed: 30pmh

Speed of plane to Bismarck: 90mph

Speed of plane to Fargo: 150mph