Pls help asap will mark brainleist

Answer:

Step-by-step explanation:

m∠1 = 2x and m∠2 = -3x+235

angle 1 and angle 2 are supplementary angle so they add up to 180°

m∠1 +m∠2 = 180°

2x -3x+235 = 180°

-x = 180-235

x=35

m∠1 = 2x = 2*35 = 70°

m∠2 = -3x+235 = -3*35 +235 = 235-105 = 130°

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos\(^-1\)cosΘ=cos\(^-1\) 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

Answer:

The answer will be A

hope this helps :)

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

the probability that a bulb lasts longer than the advertised figure of 4100 hours is approximately 0.8413 or 84.13%.

The probability that a bulb lasts longer than the advertised figure can be found using the normal distribution formula. In this case, we have a mean of 4400 hours and a standard deviation of 300 hours. The advertised lifetime is 4100 hours. We will calculate the z-score and then use the standard normal distribution table to find the probability. Here's the step-by-step explanation:
Calculate the z-score: The z-score is a measure of how many standard deviations away from the mean a data point is. To calculate the z-score for the advertised lifetime (4100 hours), use the formula:
z = (X - μ) / σ
where X is the advertised lifetime (4100 hours), μ is the mean (4400 hours), and σ is the standard deviation (300 hours).
z = (4100 - 4400) / 300
z = -300 / 300
z = -1
Use the standard normal distribution table: Now that we have the z-score (-1), we can use the standard normal distribution table to find the probability that a bulb lasts longer than the advertised figure. Look for the value corresponding to -1 in the table, which is 0.1587.
Calculate the probability: The value we found in the standard normal distribution table (0.1587) represents the probability that a bulb lasts less than the advertised figure (4100 hours). To find the probability that a bulb lasts longer, we need to subtract this value from 1:
Probability (bulb lasts longer than advertised figure) = 1 - 0.1587
Probability (bulb lasts longer than advertised figure) = 0.8413

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8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.

9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.

10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.

From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:

10 + 11 + 14 + 15 + 22 + P = 100

72 + P = 100

P = 100 - 72

P = 28%.

Then the percentage for Pinocchio or Cars is of:

28 + 11 = 39%.

The percentage for Pinocchio or Toy Story is of:

28 + 22 = 50%.

(about half).

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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The total area under the curve is 1. When the sample size is small (less than 30), the t-distribution and the standard normal curve are more similar in shape and are symmetrical. Thus, options b and d are accurate.

The t-distribution is utilized in statistics when the sample size is small and the standard deviation of the population is unknown.

Option b confirms that the total area under the t-distribution curve is 1, indicating that the sum of probabilities for all possible outcomes is equal to 1, like any other probability distribution.

Option d confirms that the t-distribution is symmetrical, implying that the curve is balanced on both sides of the mean. A symmetrical distribution has an equal mean, median, and mode.

Concluding we can say that the t-distribution is a valuable tool in statistics when working with small sample sizes as it takes into account the uncertainty in the population standard deviation.

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Answer:

16=3*2+5x

Step-by-step explanation:

3 is how many notebooks, 2 is cost per notebook, 5 is the cost of binders where x is the amount to bought, and 16 is how much you spent

Answer:

16 = 5x + 6

Step-by-step explanation:

You spend $16 on 3 notebooks and x binders. Notebooks cost $2 each and binders cost $5 each.

From this, we can see that our total amount of money spent is $16. This goes on one side of the equation.

T = 16

You have bought 3 notebooks that cost $2 each. An equation would be

n = 2x with x the number of notebooks bought. Plug 3 into x.

n = 2(3)

n = $6

You spent $6 on notebooks.

Your overall equation will be:

T = 5b + n

T is the total amount of money spent, x is the number of binders purchased, and n is the total amount of money spent on notebooks only.

Plug in the values you know.

16 = 5x + 6

To solve for x, subtract both sides by 6.

16 - 6 = 5x + 6 - 6

10 = 5x

Isolate x further by dividing both sides by 5.

x = 2

You bought 2 binders.

Hope this helps!

Answer:

Step-by-step explanation:

You want to know the values of x, y, and z, which are three angles in a figure showing two triangles that share a side and a base.

The angle sum theorem tells you the sum of angles in a triangle is 180°. This means ...

  x° +32° +46° = 180°

  x = 180 -78 . . . . . . divide by °, subtract 78 from both sides

  x  = 102

Adjacent angles that form a straight line are called a "linear pair." Their sum is 180°

  y° +x° = 180°

  y = 180 -x = 180 -102

  y = 78

You may have noticed that the value of y is equal to the sum of the two given angles in the triangle containing x. That is, the exterior angle is equal to the sum of the remote interior angles. This is also true for the left-side triangle:

  x° = z° +36°

  z = x -36 . . . . . divide by °, subtract 36

  z = 102 -36

  z = 66

__

Additional comment

The theorems cited here can be used in a number of different combinations to find the measures of these angles. We could start by finding y = 32+46 = 78, then z = 180 -36 -78 = 66, and x = 36 +66 = 102.

The value of chi-square statistic (\(X^{2}\)) is 11.26

As per the given question

the sample space of all the four cases are 30

the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.

the formula of chi-squared test is

\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)

where

\(X^{2}\) is chi-square

\(O_i\) is the observed value

\(E_i\) is the expected value

the upright observed value are 20,23,27,29

the upright expected values are 24.75

now

the chi-square at 3cm height is

\(X^2=\(\frac{(20-24.75)^2}{24.75}\)

=> \(X^2=0.91\)

the chi- square at 5cm height is

\(X^2=\(\frac{(23-24.75)^2}{24.75}\)

=> \(X^2=0.12\)

the value of chi-square at 10cm is

\(X^2=\(\frac{(27-24.75)^2}{24.75}\)

=>\(X^2=0.20\)

the value of chi-square at 20cm is

\(X^2=\(\frac{(29-24.75)^2}{24.75}\)

=> \(X^2=1.97\)

the not upright observed values are

10,7,3,1

the not upright expected values are 5.25

the chi-square test at 3cm height is

\(X^2=\(\frac{(10-5.25)^2}{5.25}\)

=> \(X^2=4.30\)

the chi-square test at 5cm height is

\(X^2=\(\frac{(7-5.25)^2}{5.25}\)

=> \(X^2=0.58\)

the chi-square test at  10cm height is

\(X^2=\(\frac{(3-5.25)^2}{5.25}\)

=> \(X^2=0.96\)

the chi-square test at 20 cm is

\(X^2=\(\frac{(1-5.25)^2}{5.25}\)

=> \(X^2=3.44\)

now,

the total

chi-square value at 3cm height is

=>X^2=0.91+4.30

=> \(X^{2}\)= 5.21

chi-square at 5cm height is

=> \(X^{2}=0.12+0.58\)

=> \(X^2=0.71\)

chi-square at 10cm is

=> \(X^{2}=0.20+096\)

=> \(X^2=1.16\)

chi-square at 20 cm is

=> \(X^{2}=0.73+3.44\)

=> \(X^{2}=4.17\)

now ,

the total chi-square statistic is

=>\(X^{2}=\)5.21+0.71+1.17+4.17

=>\(X^{2}=\) 11.26

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Answer:

x^3 - 3x^2 - 4x + 12

Step-by-step explanation:

Okay, so let's work backwards.

3, -2, 2 are the zeros, so we can use these numbers write the equation in factored form. (For right now, as a placeholder, I'll let y = 0)

(x - 3)(x + 2)(x - 2) = 0

If you want to check this, you can insert each of the zeros into the expression with a constant of the opposite sign.

So now, we can just expand the factored form. (I'll be doing this one equation at a time)

(x - 3)(x + 2) = x^2 + 2x - 3x - 6 = x^2 - x - 6

(x^2 - x - 6)(x - 2) = x^3 - 2x^2 - x^2 + 2x - 6x + 12 = x^3 - 3x^2 - 4x + 12

So,

The equation in standard form is x^3 - 3x^2 - 4x + 12

(Don't take my word for it though, now that I've told you how, feel free to do it on your own)

Answer:

Step-by-step explanation:

Draw a line through the data points with about half of the points on one side of the line and the other half on the other side.  You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak.  Thus, 0.4 is the correct correlation coefficient in this case.

The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.

But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.

Therefore, the given graph shows positive weak correlation with value 0.4.

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Answer:

\(x=-2\\x=2\)

(You only need to give one solution)

Step-by-step explanation:

We have the following equation

\((x^2+1)^2-5x^2-5=0\)

First, we need to foil out the parenthesis

\(x^4+2x^2+1-5x^2-5=0\)

Now we can combine the like terms

\(x^4-3x^2-4=0\)

Now, we need to factor this equation.

To factor this, we need to find a set of numbers that add together to get -3 and multiply to give us -4.

The pair of numbers that would do this would be 1 and -4.

This means that our factored form would be

\((x^2-4)(x^2+1)=0\)

As the first binomial is a difference of squares, it can be factored futher into

\((x^2+1)(x+2)(x-2)=0\)

Now, we can get our solutions.

The first binomial will produce two complex (Not real) solutions.

\(x+2=0\\\\x=-2\)

\(x-2=0\\\\x=2\)

So our solutions to this equation are

\(x=-2\\x=2\)

To form a triangle, the sum of the lengths of any two line segments must be greater than the length of the third side. This is known as the triangle inequality theorem. For example, if we have line segments with lengths of 5, 7, and 10 units, we can add the first two lengths (5+7=12) and compare it to the length of the third side (10). Since 12 is greater than 10, we can form a triangle with these line segments.

On the other hand, if we have line segments with lengths of 3, 6, and 10 units, we can add the first two lengths (3+6=9) and compare it to the length of the third side (10). Since 9 is not greater than 10, we cannot form a triangle with these line segments.

Therefore, the set of line segments that do not meet the requirements to form a triangle are those where the sum of any two lengths is equal to or less than the length of the third side. It is important to remember the triangle inequality theorem when working with triangles, as it is a fundamental rule that determines if a set of line segments can form a triangle or not.

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If the guy wire is fastened to the tower 250 feet high, and is 780 feet long, then the angle of elevation round to nearest hundred degree is 18 degrees.

The angle of elevation can be determined using the trigonometric function called tangent. In this case, we can use the tangent function to find the angle.

To find the angle of elevation, we can consider the triangle formed by the guy wire, the tower, and the horizontal ground. The height of the tower is given as 250 feet, and the length of the guy wire is 780 feet.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the tower (250 feet), and the adjacent side is the length of the guy wire (780 feet).

Using the tangent function, we can set up the equation:

tan(angle) = opposite/adjacent tan(angle) = 250/780

Now, we can solve for the angle by taking the inverse tangent (also known as arctangent) of both sides:

angle = arctan(250/780)

Using a calculator, we find that the angle is approximately 17.59 degrees. Rounding to the nearest hundredth degree, the angle of elevation is approximately 18 degrees.

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Answer:

x= - 5

Step-by-step explanation:

x= - 5. it try You Tube

Answer:

x=50; 1 and 3 = 160°; 2 and 4 = 20°

Step-by-step explanation:

We know that:

m<1 = (3x+10);

m<2 = (x-30)

So:

(3x+10)+(3x+10)+(x-30)+(x-30) = 360°

---> x = 50

So:

1 and 3 = 160°; 2 and 4 = 20°

Answer:

296541907200

Step-by-step explanation:

23 * 22 * 21 * 20 * 19 * 18 * 17 * 16 * 15 = 296541907200

Answer:

simply divide the numerator and denominator by 4 (the GCF). So, 1232 = 12÷432÷4 = 38. Thus, 1232 is equivalent to 38 in the reduced form. (*) The factors are numbers that multiply each other to get another number.Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

We can simplify the ratio 12 : 32 by dividing both terms by the greatest common factor (GCF).

The GCF of 12 and 32 is 4.

Divide both terms by 4.

12 ÷ 4 = 3

32 ÷ 4 = 8

Therefore:

12 : 32 = 3 : 8

I hope this helped, If this is wrong then I'm sorry but I think this is accurate.

Answer:

We have a problem here, Houston.

Step-by-step explanation:

Is "(x+5)2=36" supposed to be (x+5)^2=36 ?

If so,

x = ± 11

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

If it is indeed (x+5)2=36

then:

2x + 10 = 36

2x = 26

x = 13

None of the answer options fir either of these two interpretations of the equation provided.  Please check the equation.

Answer:

-11 and 1

Step-by-step explanation:

did the test

Answer:

48 and 37

Step-by-step explanation:

The 2 square numbers are 16 (4 squared) and 64 (8 squared)

So the difference between these 2 numbers: 64 - 16=48

The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)

64-27=37

answer:

48 and 37

step explanation:

The 2 square numbers are 16 (4 squared) and 64 (8 squared)

So the difference between these 2 numbers: 64 - 16=48

The 2 cube numbers are 27 (3 cubed) and 64 (4 cubed)

64-27=37

Answer:

please provide a chart next time a question is asked

Step-by-step explanation:

Answer:

B. Logistics and Distribution is the career of Circle A, Buying and Merchandising is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "an office."

Answer:

Hello!! Your answer is 25% I think!

Hope this helps!!

Answer:

Use five possible postulates:

SSS (all three sides are marked and congruent)

SAS (two sides and one angle marked and congruent)

ASA (two angles and one side marked and congruent)

AAS (same as ASA but in a different order)

HL (right triangle hypotenuse)

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

\(\large\boxed{y - y_1 = m(x - x_1)}\)

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

\(y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)\)

Simplify:

\(y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}\)