Solve for m.
22m^2 + 7m - 2 = 0

Answer:

b.The author’s description of physical symptoms creates an anxious mood.

Answer:

it’s principal square root

Step-by-step explanation:

i just put her answer and got it wronggg

Answer:

A function

Step-by-step explanation:

The question is needed, but with the statement it can be determined that this situation would be, if a relationship or function, or given the case of both or neither.

Let's first define what a relationship is, define that a single input can have more than one output, applied to the statement would be that if you apply the same force in two different situations, the amount of candy that comes out may be different.

On the contrary, in a function for each input there is an output, a possible result, which is what they tell us in the statement.

Therefore this situation is represented by a function.

Answer:

a function

Step-by-step explanation:

Answer:

2.3 pages per minute

Step-by-step explanation:

Answer:

27A+81A =108

Step-by-step explanation:

There are 11/18 miles does the car travel in 1 minute.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car travels 2 3/4 miles in 4 1/2 minutes.

Now,

Since, A car travels 2 3/4 miles in 4 1/2 minutes.

Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2

                                                                       = 11/4 ÷ 9/2

                                                                       = 11/4 × 2/9

                                                                       = 11/18 miles

Thus, The car travel 11/18 miles in 1 minute.

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y = 4/3 ( x + 3 )² + 7 is equation of the parabola .

In math, what is a parabola?

The h and k of the above vertex form are the coordinates of the vertex. So our function has the following form

  y = a ( x- h )²  + k

  y = a ( x - ( - 3 ))² + 7

  8 = a ( -4 - ( -3 ) + 7

  8 = a (  6 )

   a = 8/6

    a =  4/3

the a value we can write the final vertex form

  y =  a ( x - ( - 3 ))² + 7

y = 4/3 ( x + 3 )² + 7

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Answer:

Measure of angle M = 41°

Step-by-step explanation:

From the figure attached,

NM ≅ NO [Given]

Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]

By triangle sum theorem,

m∠O + m∠N + m∠M = 180°

m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]

By substituting the values of the given angles,

(4y - 15)° + (7y)° + (4y - 15)° = 180°

(15y - 30) = 180

15y = 210

y = 14

Therefore, m∠M = (4y - 15)°

                           = 4(14) - 15

                           = 56 - 15

                           = 41°

To find the quartiles and deciles for the given data set, we need to arrange the data in ascending order and then use the appropriate formulas.

To find Q1, we need to find the median of the lower half of the data set. Since there are an even number of data points, we take the average of the two middle values:

Q1 = (3 + 5) / 2 = 4

To find Q2 (also known as the median), we simply find the middle value of the data set:

Q2 = 8

To find Q3, we need to find the median of the upper half of the data set:

Q3 = (15 + 18) / 2 = 16.5

To find D5, we need to find the value that is 5% of the way through the data set:

D5 = 2

To find D7, we need to find the value that is 7/10 of the way through the data set:

D7 = 10

To find D8, we need to find the value that is 8/10 of the way through the data set:

D8 = 12

To find P25, we need to find the value that is at the 25th percentile of the data set. This is the value that is greater than or equal to 25% of the data:

P25 = 3

To find P60, we need to find the value that is at the 60th percentile of the data set:

P60 = 10

To find P75, we need to find the value that is at the 75th percentile of the data set:

P75 = 15

To find P30, we need to find the value that is at the 30th percentile of the data set:

P30 = 5

In summary, to find the quartiles and deciles for the given data set, we arranged the data in ascending order and used the appropriate formulas. We found that Q1 is 4, Q2 is 8, and Q3 is 16.5. We also found that D5 is 2, D7 is 10, and D8 is 12. In addition, we found that P25 is 3, P60 is 10, P75 is 15, and P30 is 5.

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The measure of ZAFD is 50 degrees.

Based on the given information:

ZCFE is congruent to ZCFA.

mZCFB = 68°.

mZEFD = 62°.

To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.

Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.

Therefore, mZCFA = mZCFE.

Now, let's find the measure of angle ZCFE:

mZCFE = mZCFB + mZEFD (Angle Addition Postulate)

mZCFE = 68° + 62°

mZCFE = 130°

Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.

Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.

The sum of the angles in a quadrilateral is always 360°.

mZAFD + mZAFB + mZBFD + mZBFA = 360°

We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).

Therefore, we can rewrite the equation as:

mZAFD + 90° + 90° + mZBFA = 360°

Simplifying:

mZAFD + 180° + mZBFA = 360°

Rearranging the equation:

mZAFD + mZBFA = 360° - 180°

mZAFD + mZBFA = 180°

We know that mZBFA is equal to mZCFA, which is 130°.

Substituting the known values into the equation:

mZAFD + 130° = 180°

Subtracting 130° from both sides:

mZAFD = 180° - 130°

mZAFD = 50°

Therefore, the measure of ZAFD is 50 degrees.

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Once the F statistic is found to be significant, we must identify the source of significance by conducting B) Post-hoc comparisons.

After finding a significant F statistic in ANOVA, we need to identify the source of significance by conducting post-hoc comparisons. These tests compare all possible pairs of means to determine which pairs are significantly different from each other. Examples of post-hoc tests include Tukey's HSD, Bonferroni, and Scheffe's tests.

Post-hoc tests help to avoid the problem of Type I errors, which can occur when multiple comparisons are made without adjusting the alpha level. By conducting B) post-hoc tests, we can determine which specific groups are significantly different from each other after finding a significant F statistic in ANOVA.

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After following the steps of quadratic equation described below,

We can prove,

⇒ x =  -b±√(-4ac+  b²)/2a

Given that;

The quadratic equation is,

ax²+bx+c = 0,

As a result, the following steps must be taken to obtain the quadratic formula from the equation:

ax²+bx+c = 0

Take subtraction of c both sides.

ax²+bx+c-c = 0-c

ax²+bx = -c

Substitute a for both sides of the equation.

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Complete the square by adding  (b/2a)² times a squared to each sides.

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Find the lowest common denominator on the right side of the equation. 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Add the fractions on the right side of the equation together.

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Because, as shown in the question, the fraction on the right-hand side of the equation is to be added together rather than multiplied.

As demonstrated, the equation on the left should be expressed as a perfect square.

(x+b/2a)² =  (-4ac+  b²)/4a²

Add the square roots of both sides together.

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Take b/2a off both sides.

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Add the fractions on the right side together.

x =  -b±√(-4ac+  b²)/2a

Therefore, This gives the required equation.

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Answer:

b. 10pi

Step-by-step explanation:

Radius of circle (r) = 5 units

\(c = 2\pi \: r = 2\pi \times 5 = 10\pi\)

The probability that the baseball player gets a hit in his next at-bat is an empirical probability because it is based on observed data (the number of times the player got a hit out of the total number of times at bat).

Empirical probability is a technique for estimating the likelihood of an event based on actual facts or outcomes of experiments. Also called experimental probability. This method is frequently applied in circumstances where it is challenging or impossible to estimate the likelihood of an event based on theoretical considerations, such as when tossing a coin or rolling a die.

In order to get the empirical probability, we divide the total number of observations or trials by the number of times the relevant event occurred. For instance, the empirical probability of the coin landing heads is 45/100, or 0.45, if we flip a coin 100 times and it comes up heads 45 times.

a. The probability that the baseball player gets a hit in his next at-bat is an empirical probability because it is based on observed data (the number of times the player got a hit out of the total number of times at bat).

b. The likelihood that any one of five students is randomly chosen as the spokesperson is a classical probability because it is based on equally likely outcomes in a finite sample space.

c. The likelihood of winning the $1 million jackpot in the Lotto Canada lottery is a classical probability because it is based on equally likely outcomes in a finite sample space.

d. The probability of an earthquake in northern California in the next 10 years above 11.0 on the Richter scale is a subjective probability because it is based on expert judgment or opinion rather than on observed data or equally likely outcomes.

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Add 1.50 to each time the price goes up

Step-by-step explanation: Multiply by two each time and you will have your answer 1 hot dog is 1.50 two are 3.00 use that method and you will have the correct answer

Using the tree diagram (which is a probability tool), the percentage of all graduates who plan to enter the workforce and reside locally is 12%.

What is the percentage?

The percentage refers to the proportion or ratio of a number or value to another.

Percentages are computed by dividing the numerator (the smaller number) by the denominator (the whole number) and multiplying the result by 100.

The percentage of high school graduates who enter college = 70%

The percentage of high school graduates who enter the workforce = 30% (1 - 70%).

The percentage of high school graduates who enter the workforce, moving out of state = 60%

The percentage of high school graduates who enter the workforce but reside locally = 40% (1 - 60%).

The percentage of high school graduates working and residing locally = 12% (30% x 40%).

Thus, the tree diagram shows that the percentage of high school graduates choosing to work and reside locally is 12%.

Answer:

24/60=6/15=2/5=48/120=16/40

Step-by-step explanation:

Now we see that,

6/15=2/__

Let us say '__' in 2/__ is 'x'

6/15=2/x

6x=15x2

6x=30

x=5

=>2/5

Similarly,

2/5=x/120

2x120=5x

240=5x

5x=240

x=240/5

x=48

=>48/120

48/120=16/x

48/16=120/x

3=120/x

x=120/3

x=40

=>16/40

Answer:

During the month of September.

Step-by-step explanation:

The temperature in Beijing, in m months after January, is given by the following equation:

\(T(m) = 27\cos{(\frac{\pi}{6}(m-6))} + 45\)

In which m is the number of months after January.

During which month in the year would the temperature reach 55°F?

We have to find m for which: T(m) = 55. So

\(T(m) = 27\cos{(\frac{\pi}{6}(m-6))} + 45\)

\(55 = 27\cos{(\frac{\pi}{6}(m-6))} + 45\)

\(27\cos{(\frac{\pi}{6}(m-6))} = 10\)

\(\cos{(\frac{\pi}{6}(m-6))} = \frac{10}{27}\)

Applying the inverse cosine to both sides:

\(\cos^{-1}{(\cos{(\frac{\pi}{6}(m-6))})} = \cos^{-1}{(\frac{10}{27})}\)

\(\frac{\pi}{6}(m-6) = 1.19\)

\(\pi(m-6) = 6*1.19\)

\(\pi m - 6\pi = 6*1.19\)

\(\pi m = 6*1.19 + 6\pi\)

\(m = \frac{6*1.19 + 6\pi}{\pi}\)

\(m = 8.27\)

8.27 months after January

8.27 + 1 = 9.27, so during the month of September.

Answer:

B.  September

Step-by-step explanation:

Correct on Edge 2021

The x = 85 Degrees The complementary angle is y = 5 degrees.

Let us assume that x is the measure of the angle we are trying to find and y is the measure of the complementary angle. Complementary angles are pairs of angles whose sum is 90 degrees.

As given, The measure of an angle is seventeen times the measure of its complementary angle.

Then the equation becomes;x = 17yWe also know that the sum of the two complementary angles is 90 degrees;

x + y = 90

Substituting x = 17y into x + y = 90;17y + y = 90Simplifying the equation above,18y = 90Dividing both sides by 18,y = 5

Now that we know y, we can substitute it into the first equation to find x;x = 17(5)

Hence, the measure of each angle is 85 degrees and 5 degrees.

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Answer:

6.75

Step-by-step explanation:

The term 6.75 is within absolute value bars. These bars force any term inside of them to be positive. Since 6.75 is already positive, the bars have no effect.

The term 6.75 is already simplified.

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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A scatter plot chart of stock returns versus past stock returns will typically appear as a random pattern mostly concentrated in the top-right and lower-left quadrants.

This pattern indicates that there is a positive correlation between past and current stock returns, but there are also instances where current returns are negative despite past positive returns.

The top-right quadrant represents instances where both past and current returns are positive, while the lower-left quadrant represents instances where both past and current returns are negative.

The random pattern indicates that stock returns cannot be predicted with certainty based on past returns alone.

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Answer:

.23809523809

Step-by-step explanation:

PLS GIVE BRAINLIEST

To find the product of \(\(9(\cos 20^\circ + i\sin 20^\circ)\)\) and \(\(5(\cos 75^\circ + i\sin 75^\circ)\)\) , we can use the properties of complex numbers.

Multiplying the magnitudes and adding the angles, we have:

\(\(9(\cos 20^\circ + i\sin 20^\circ) \cdot 5(\cos 75^\circ + i\sin 75^\circ)\)\)

\(\(= 45(\cos (20^\circ + 75^\circ) + i\sin (20^\circ + 75^\circ))\)\)

\(\(= 45(\cos 95^\circ + i\sin 95^\circ)\)\)

The result in trigonometric form is  \(\(45(\cos 95^\circ + i\sin 95^\circ)\).\)

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An equation in mathematics known as a differential equation connects a function to its derivatives. It involves the derivatives of one or more unknown functions with regard to one or more independent variables.

We can use the method of precise equations to resolve the differential equation (3x2 + y)dx + (x2y - x)dy = 0 that is presented.

In order to determine whether the equation is precise, we must first determine whether (M)/(y) = (N)/(x), where M = 3x2 + y and N = x2y - x.

We have the following partial derivatives: 

(M)/(y) = 1 and 

(N)/(x) = 2xy - 1

The equation is not accurate because (M)/(y) does not equal (N)/(x).

We must identify an integrating factor in order to make the equation exact. We can calculate it by multiplying 

(M)/(y) by (N)-(N)/(x).

Integrating factor is equal to [(M/y)]. N-(N)/(x) 

= 1 / (2xy - 2xy + 1).

=1

Multiplying the entire equation by the integrating factor, we get:

(3x² + y)dx + (x²y - x)dy = 0

Since the integrating factor is 1, the equation remains unchanged.

Next, we integrate both sides of the equation with respect to x and y, treating the other variable as a constant.

Integrating the first term with respect to x, we get:

∫(3x² + y)dx = x³ + xy + C1(y)

Integrating the second term with respect to y, we get:

∫(x²y - x)dy = x²y²/2 - xy + C2(x)

Combining the two integrated terms, we have:

x³ + xy + C1(y) + x²y²/2 - xy + C2(x) = C

Simplifying, we can write the solution as:

x³ + x²y²/2 + C1(y) + C2(x) = C

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The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.

Explain about the pyramid:

The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.

volume of a pyramid = V=1/3 a²h

Given volume V = 162 cm³

Let 'x' be the side length.

Then , (x - 3)  be the height of sculpture.

Put the values and find the length.

162 = 1/3 (x)² (x-3)

162 * (3) =  (x)² (x-3)

486 = x²(x-3)

486 = x³ - 3x²

x³ - 3x² - 486 = 0

(use a graphing tool or calculator equation mode).

x = 9

Thus,

side length of sculpture = 9 cm

height of sculpture = 9 - 3   = 6cm

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Correct question:

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.

V=1/3 a^2h

Here, a is the side length of the pyramids square base and h is it’s height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures.  base is _ centimeters.

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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The smallest number of weights needed to check scales measuring up to an amount N is the integer part of log_3(N) + 1.

A weight inspector uses a special set of weights to check the accuracy of scales.

Various weights are placed on a scale to check accuracy of any amount from 1 oz through 15oz.

The accuracy of scales from 1 oz through 15 oz

From 1 oz through 31 oz,

In order to determine the weights that are needed to check the accuracy of scales from 1 oz through 15 oz and 1 oz through 31 oz, we need to find the least number of weights that can be used.

There are different possible answers, but the ones given below are the most convenient and simple.

The weights that are needed to check the accuracy of scales from 1 oz through 15 oz are 1 oz, 3 oz, and 9 oz.

The weights that are needed to check the accuracy of scales from 1 oz through 31 oz are 1 oz, 3 oz, 9 oz, and 18 oz.

Each of the weights above can be formed using a combination of 1 oz, 3 oz, and 9 oz weights.

In fact, we can write all numbers from 1 to 15 and 1 to 31 as a sum of powers of 3, starting from \(3^0\) = 1.

The weights needed to check the accuracy of scales from 1 oz through 15 oz are: 1 oz = 1 x 1 oz3 oz = 1 x 3 oz9 oz = 1 x 9 oz

The weights needed to check the accuracy of scales from 1 oz through 31 oz are:

1 oz = 1 x 1 oz3 oz = 1 x 3 oz9 oz = 1 x 9 oz18 oz = 2 x 9 oz

Therefore, the fewest number of weights the inspector needs to check the accuracy of scales from 1 oz through 15 oz and 1 oz through 31 oz is three and four, respectively.

The pattern that is forming here is that every number from 1 to 15 and from 1 to 31 can be expressed as a sum of distinct powers of three.

This is a way of writing any positive integer as a ternary number.

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