Factor and Solve.
x^4+7x^2+10=0

Answer:

x=3y−9

Step-by-step explanation:

Answer:

The length of AB: 34

Step-by-step explanation:

What are we given?

B = Midpoint of AC

AB = 8x + 2

BC = 5x + 14

|--------------|--------------|

A               B               C

(This is what your line would look like)

Our equation would be:

AB + BC = AC

(8x + 2) = (5x + 14)

(AB)      =        (BC)

(Assuming that our line and points are evenly spread out, we can say that they can equal each other)

8x + 2 = 5x  +14

- 5x- 2 = -5x -2

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

3x = 12

\(\frac{3x}{3}=\frac{12}{3}\)

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

x = 4

1) Substitute

(8x + 2) + (5x + 14) = AC

    (AB) + ( BC)       = AC

AB = 8(4) + 2

32 + 2

= 34

BC = 5(4) + 14 =

20 + 14

= 34

(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)

The length of the line segment AB is 34 units.

Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

Since, B is the midpoint of AC

AB=BC

8x + 2=5x+14

Subtract 5x on both sides of the equation, that is

8x+2-5x=5x+14-5x

⇒ 3x+2 = 14

Transpose 2 to other side of the equation, we get

3x = 14 - 2

⇒ 3x=12

Transpose 3 to other side of the equation, we get

x=4

So, AB=8x+2

=8×4+2

=32+2=34 units

Therefore, the length of the line segment AB is 34 units.

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Answer:y=-1/7x+26/7

Step-by-step explanation: y=mx+b substitute m=-1/7

y=-1/7x+b

The line passes through the point (-2,4)

This means x=-2 and y=4 must be substituted in the above equation

4=-1/7*-2+b

4=2/7+b

Solve for b

To get b on its own we need take 2/7 from both sides

4-2/7=2/7-2/7+b

26/7=b

Need to solve 4/1-2/7

Must make denominators the same

Multiply top and bottom by 7

4*7/1*7-2/7

28/7-2/7=26/7

Answer;

its answer is 0.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

follow the tangent rule.

Answer:

holais también tengo esa pregunta y no la e encontrado por ningún lado

Answer:

Здравствуйте, у меня тоже такой вопрос, нигде не нашел.

Step-by-step explanation:

Answer:

About $2.34

Step-by-step explanation:

If each pound of apples cost 1.77 and you have 1.32 pounds, you would multiply 1.77 by 1.32 to get 2.3364, but when rounded, 2.34.

Answer:

Step-by-step explanation:

1.77 answer 2.34

or somthing like that

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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1. The chance that all 23 people have different birthdays is about 0.493 or 49.3%.

2. The chance that two people in the room have the same birthday is about 0.507 or 50.7%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.

(1) The probability that all 23 people have different birthdays can be calculated as follows:

For the first person, there are 365 possible birthdays to choose from.

For the second person, there are 364 possible birthdays left to choose from (since one has already been taken).

For the third person, there are 363 possible birthdays left to choose from, and so on.

So the probability that all 23 people have different birthdays is:

P(all different) = 365/365 * 364/365 * 363/365 * ... * 344/365

                 = 0.493

Therefore, the chance that all 23 people have different birthdays is about 0.493 or 49.3%.

(2) The probability that two people in the room have the same birthday can be calculated as follows:

For the first person, there are 365 possible birthdays to choose from.

For the second person, there is a 1/365 chance that they have the same birthday as the first person.

For the third person, there is a 2/365 chance that they have the same birthday as one of the first two people, and so on.

So the probability that at least two people in the room have the same birthday is:

P(at least 2 people share a birthday) = 1 - P(all different)

                                     = 1 - 0.493

                                     = 0.507

Therefore, the chance that two people in the room have the same birthday is about 0.507 or 50.7%.

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Answer:

above sea level

Step-by-step explanation:

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

Answer:

Option b

Step-by-step explanation:

Total:-

\(\\ \sf\longmapsto 20+14=34\)

The rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

A 25 foot long ladder is leaning against a wall and sliding away at a rate of 15 ft/sec. We need to find how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 feet from the ground.Let's assume the length of the ladder be 'L'.Therefore, L = 25 feet. The rate at which the ladder is sliding away from the wall is given by dL/dt. dL/dt = 15 ft/sec. Let the height of the wall be 'h'.

Therefore, h = 7 feet.We need to find the rate at which the top of the ladder is sliding down the wall. Let's assume this rate be 'x'.We know that, the ladder, wall, and the ground form a right-angled triangle.Let's assume that the distance between the base of the ladder and the wall be 'y'. Therefore, we have:x^2 + y^2 = L^2Differentiating with respect to time t, we get:2x(dx/dt)+2y(dy/dt)=0dx/dt=−y(dy/dt),Since the ladder is sliding down the wall, dy/dt is negative.dy/dt = -15 ft/sec.We need to find x when y = 7. y = 7.

Therefore, \(x=√(L2−y2)=√(252−72)=√(625−49)=√576=24\)ft.

Now, we can substitute the values in the equation we obtained for dx/dt.dx/dt = -y (dy/dt)= -7 × (-15) = 105 ft/sec.Hence, the rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

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The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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Answer:

( 7 , 8 )  

Step-by-step explanation:

d. "Start with a normal approximation as most variables are normal" is least likely to be primary means of investigating normality in a distribution X.

a.  Graphically plot the data in a histogram and use the eyeball test to check for asymmetry or skew. This method involves visually examining the shape of the distribution by creating a histogram. Any noticeable asymmetry or skewness can indicate non-normality.

b. Observe a computerized output for the Q-Q plot of the distribution. A Q-Q plot compares the quantiles of the observed data with the quantiles of a theoretical distribution, such as the normal distribution. If the points on the Q-Q plot closely follow a straight line, it suggests the data is normally distributed.

c. Calculate the observed and expected z-score values and determine any major deviations. By transforming the data into z-scores and comparing them to the expected values under a normal distribution, deviations from normality can be identified. Significant deviations indicate departures from normality.

d. Start with a normal approximation as most variables are normal. This option suggests assuming normality without conducting specific tests or employing appropriate techniques to assess normality. While this approach may be reasonable in certain cases based on prior knowledge or theoretical considerations, it lacks a direct means of investigating normality.

d. "Start with a normal approximation as most variables are normal" is least likely to be primary means of investigating normality in a distribution X.

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Answer:

\(f = \frac{2(3g-5)}{d}\)

Step-by-step explanation:

Given the equation, \(\frac{df + 10}{6} = g\), for f:

Multiply 6 on both sides of the equation to remove the denominator on the left-hand side:

    \((\frac{6}{1})(\frac{df + 10}{6} ) = g(\frac{6}{1})\)

    df + 10 = 6g

Next, subtract 10 on both sides of the equation:

    df + 10 - 10 = 6g - 10

    df = 6g - 10

Factor 6g - 10:  

    df = 2(3g - 5)

Multiply both sides by (1/d) to isolate f:

\((\frac{1}{d}) df = 2(3g - 5)(\frac{1}{d})\)

\(f = \frac{2(3g-5)}{d}\)

The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer:an average human blinks a lot

Step-by-step explanation:

they blink a lot for the eyes

The y-intercept of the least squares regression line is 5.5.

Linear regression is a statistical method used to analyze the relationship between two variables by finding a linear equation that best fits the data. The goal of linear regression is to predict the value of one variable based on the value of another variable.

The equation for a simple linear regression model is:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the value of y when x is zero).

The equation of the least squares regression line is given by:

y = a + bx

where "a" is the y-intercept and "b" is the slope. We are given the slope as 0.62 and also know the means of x and y. So, we can substitute these values into the equation to solve for the y-intercept:

21 = a + 0.62(25)

21 = a + 15.5

a = 21 - 15.5

a = 5.5

Therefore, the y-intercept of the least squares regression line is 5.5.

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Answer:

3.35.

Step-by-step explanation:

very simple!

Three types of juice means 3!

that is ., 3*2*1 =6

He will be able to fill 6 bags with the specified amount of each juice.

In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

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During an emergency exercise, a submarine dives 37 ft, rises 16 ft, and

then dives 18 ft. The net change in the submarine's position = - 37 + 16 - 18

Net change is the difference between a security's closing price for a given trading period and its closing price for the current trading session. The term "net change" for stock prices often refers to a daily time frame, therefore the net change for the specific day in question might be either positive or negative.

Therefore, the net change = -39 ft.

What is a net change?

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Answer:

3 hours

Step-by-step explanation:

24/7 = 3.42 hours and rounded that will be 3 hours

Answer:

The LCM is for $20 and $90 is $180

the greatest is 2x5=10

Step-by-step explanation:

Answer: Hay 13 mujeres. (No hablo espanol.)

We can conclude that -

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.

Original price -

$54

Cost after 40% discount -

54 - {40% of 54}

54 - {40/100 x 54}

54 - {2/5 x 54}

54 - 21.6

$32.4

Cost after 5% discount -

32.4 - {5% of 32.4}

32.4 - {5/100 x 32.4}

32.4 - 1.62

$30.78

{ 3 } -

Calculating 60% of new price -

60% of 30.78

(60/100) x 30.78

18.5

Calculating 40% of new price -

40% of 30.78

(40/100) x 30.78

12.4

So, 60% of new price is greater than calculating 40%.

So, Manny is correct.

Therefore, we can conclude that -

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