The height of a ball thrown upward is given by the quadratic equation h= -4.972 +28t, where h is

in meters and 1 is the time in seconds since the ball was thrown. Find the times that the ball will be

30 meters above the ground by substituting h = 30 in the given equation.

Round your answer to the nearest tenth of a second.

Begin as follows:

h=-4.912 + 281 Use the given equation.

30 = -4.912 + 28 Substitute 30 for'h.

4.912 – 28t + 30 = 0

=Write in general form, obtaining zero on one side.

(Now substitute a, b, and c into the quadratic formula.)

a,

Answer:

5

Step-by-step explanation:

The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

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Answer:

adding the 2 equations

Step-by-step explanation:

2x + 3y = 14 → (1)

4x - 3y = 10 → (2)

since the coefficients of the y- terms are opposites then adding will eliminate y

add (1) and (2) term by term

6x + 0 = 24

6x = 24 ( divide both sides by 6 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

2(4) + 3y = 14

8 + 3y = 14 ( subtract 8 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 )

Answer: 45 red marbles

Step-by-step explanation:

Using the ratios, we can create a fraction for the number of marbles.

3/5 of the bag would be red marbles, and 2/5 of the bag would be blue marbles.

(you get the 5 from adding 3+2 together)

If you take 3/5 of 75, you would get 45 red marbles.

The area covered by fire in 20 hours time is 1311 square meters

13% increment represents increment by a factor of 1.13

The rate at which the fire increases is 13% per hour, hence in 20 hours the area will be covered by a factor of 22.6 solved as shown below:

= 20 * 1.13

= 22.6

The area covered by fire in 20 hours time

= 22.6 * 58 m^2

= 1310.8 m^2

= 1311 m^2

Using the rate of the fire coverage which is 13% per hour in 20 hours the fire will cover 1311 square meters

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The equation of the line passing through the points (1,3) with slope = -4 is

y = -4x + 7

The equation of a line can be formed with the help of the slope of the line and a point on the line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.

m = (y - y1) / (x - x1)

where m = -4

y1 = 3

x1 = -1

-4 = (y - 3) / (x - 1)

-4(x - 1) = y - 3

-4x + 4 = y - 3

y = -4x + 7

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Answer: x=5

Step-by-step explanation:

Answer:

(x - 1)² = 16

Step-by-step explanation:

x² - 2x - 15 = 0

x² - 2x + 1 = 15 + 1

(x - 1)² = 16

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Point D is the centroid of ΔABC, since we know that A.F, BC, and CE are all medians.

A median of a triangle is the line segment that connects the vertex of a triangle to the midpoint of the opposite side. There are usually three medians of a triangle.

The point where the three medians of a triangle intersect each other or meet at is referred to as the centroid of the triangle.

The diagram shows a triangle with three medians that meets at point D in the triangle. Therefore, point D is the centroid of the tringle because lines A.F, BC, and CE are all medians of the given triangle.

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Answer:

30

Step-by-step explanation:

350÷12=29.1666666666666666......

if you are fitting all of them with no remainder than it would be 30 boxes

if not then 29

Answer:

29 full boxes plus one for the remainder

Step-by-step explanation:

why do you need to know this

and please dont eat that many cream puffs

Answer:

\(\frac{7}{30}\)

OR...

0.233333333

Step-by-step explanation:

Least common multiple of 10 and 15 is 30. Convert \(\frac{1}{10}\) and \(\frac{2}{15}\)  to fractions with denominator 30.

\(\frac{3}{30} +\frac{4}{30}\)

Since \(\frac{3}{30}\) and \(\frac{4}{30}\) have the same denominator, add them by adding their numerators.

\(\frac{3+4}{30}\)

Add 3 and 4 to get 7.

\(\frac{7}{30}\)

Answer:

D:75

Step-by-step explanation:

all angles of a triangle equal 180, so add 70+35 and you get 105, then subtract that from 180 and you'll get the remaining angle which is 75.

Answer:

75

Step-by-step explanation:

By considering the planet's diameter as the distance from its center, we can determine the gravitational acceleration at that altitude. At an altitude equal to the planet's diameter, the gravitational acceleration would be 3.825 m/s² on this hypothetical planet.

The inverse square law of gravity states that the gravitational force decreases as the square of the distance from the center of mass increases.

Since the diameter of the planet is equal to twice the radius, the altitude equal to the planet's diameter is equivalent to being at a distance twice the radius away from the center of mass.

Let's denote the planet's surface gravitational acceleration as "g" and the radius as "R".

Using the inverse square law, we can calculate the gravitational acceleration at an altitude equal to the planet's diameter as follows:

g_altitude = g * (R / (2R))²

= g * (1/4)

= g/4

= 15.3 m/s² / 4

= 3.825 m/s²

Therefore, at an altitude equal to the planet's diameter, the gravitational acceleration would be 3.825 m/s² on this hypothetical planet.

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Answer: The average amount of pocket change per person is $2.06.

Step-by-step explanation:

To find the average amount of pocket change per person, we need to first add up all the amounts and then divide by the number of people (which is 7 in this case).

Adding up the amounts: $0.00 + $1.25 + $0.02 + $2.00 + $10.75 + $0.40 + $0.00 = $14.42

Dividing by the number of people: $14.42 ÷ 7 = $2.06 So the average amount of pocket change per person is $2.06.

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

Answer:

i hope it will help uh....

The inverse function of f(x) = (1/4)x + 8 is given by f^(-1)(x) = 4x - 32.

To find the inverse function of the given function f(x) = (1/4)x + 8, we need to interchange the roles of x and f(x) and solve for x.

Let's start by expressing f(x) as y:

y = (1/4)x + 8

Now, we'll swap x and y:

x = (1/4)y + 8

To find the inverse function, we need to solve this equation for y.

Let's begin by subtracting 8 from both sides:

x - 8 = (1/4)y

Next, we'll multiply oth sides by 4 to isolate y:

4(x - 8) = y

Expanding the brackets:

4x - 32 = y

So, we have determined that the inverse function of f(x) = (1/4)x + 8 is:

f^(-1)(x) = 4x - 32

Therefore, the inverse function of f(x) = (1/4)x + 8 is given by f^(-1)(x) = 4x - 32.

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The measure of each angle formed by the three support beams for a bridge is 45 degrees.

The question states that three support beams for a bridge form a pair of complementary angles. Complementary angles are two angles that add up to 90 degrees.

Let's denote the angles as Angle A and Angle B. Since the angles are complementary, we can set up the following equation:

Angle A + Angle B = 90 degrees.

To find the measure of each angle, we need to divide 90 degrees by 2 since there are two angles.

Angle A = Angle B = 90 degrees / 2 = 45 degrees.

Therefore, each angle measures 45 degrees.

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The measure of each angle is 45 degrees.

To find the measure of each angle, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

In this case, we have three support beams for a bridge that form a pair of complementary angles. Since the angles are complementary, their sum is 90 degrees.

Let's assume the measure of one angle is x degrees. The other angle will be (90 - x) degrees, as their sum is 90 degrees.

Since the three support beams form a pair of complementary angles, we can set up the equation:

x + (90 - x) = 90

By simplifying the equation, we have:

90 - x + x = 90

90 = 90

This equation is true for any value of x. Therefore, the measure of each angle can be any value, as long as their sum is 90 degrees.

So, the measure of each angle is not fixed, but it will always add up to 90 degrees.

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Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?

1 Ampere = 1 Coulomb of charge per second

2.5 A  =  2.5 C of charge per second

Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)

Time = (3.5 / 2.5) (C / C-sec)

Time = 1.4 sec

A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.

In various settings, such as work or school, measures of location, measures of variability, and measures of association can provide valuable insights and aid in interpreting data.

Let's consider an example from a work setting where employee performance data is collected

Measures of location, such as the mean or median, can illustrate an important aspect of employee performance. By calculating the mean performance score, we can identify the average level of performance across the organization. This measure helps us understand the central tendency of the data and provides a benchmark to assess individual employee performance against the average. If the mean performance score is low, it indicates the need for improvement in overall performance.

Measures of variability, such as the standard deviation, can indicate the spread or dispersion of performance scores. A high standard deviation suggests a wide range of performance levels among employees, indicating a lack of consistency. This insight prompts organizations to investigate the underlying factors contributing to the variability and identify areas for improvement in training, resources, or performance management processes.

Furthermore, measures of association, such as correlation coefficients, can help identify relationships between variables. For example, we can explore the correlation between employee performance scores and factors like years of experience, education level, or training hours. Understanding these associations can guide decision-making processes, such as designing targeted training programs for employees who exhibit a lower correlation between training hours and performance.

By applying these measures and interpreting the data, organizations can gain valuable insights into employee performance. This understanding can lead to improved decision-making, such as identifying areas for performance improvement, optimizing resource allocation, and implementing targeted interventions to enhance overall productivity and success within the work setting.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

Answer:

find the value of the inequality on the number line

Step-by-step explanation:

do open circle for greater or less than

do closed circle for equal to

draw line left or right based on greater or less than

Answer:

Step-by-step explanation:find the value of the inequality on the number line

Let's assume the number of complete packs of cherry gum is c1 and the number of complete packs of grape gum is c2. The number of loose pieces of cherry gum is l1, and the number of loose pieces of grape gum is l2.

According to the given information, we have the following equations:

c1 * x + l1 = 20 (equation 1)

c2 * x + l2 = 30 (equation 2)

If Chewbacca loses one pack of cherry gum, the new ratio of the number of pieces of cherry gum to the number of pieces of grape gum will be the same as if he instead finds 5 packs of grape gum.

This can be represented as:

[(c1 - 1) * x + l1] / (c2 * x + l2 + 5 * x) = (c1 * x + l1) / (c2 * x + l2)

Simplifying the equation, we have:

[(c1 - 1) * x + l1] = (c1 * x + l1) * (c2 * x + l2 + 5 * x) / (c2 * x + l2)

Expanding and simplifying further:

(c1 - 1) * x + l1 = (c1 * x + l1) * (c2 + 6) / c2

Let's now substitute the values for c1, l1, and c2:

From equation 1: c1 * x + l1 = 20

From equation 2: c2 * x + l2 = 30

Substituting these values, we get:

(20 - 1) * x + l1 = (20 * x + l1) * (c2 + 6) / c2

Simplifying:

19x + l1 = (20x + l1) * (c2 + 6) / c2

Since we are looking for the value of x, we need another equation to solve for it. Unfortunately, we do not have enough information or constraints in the given problem to determine the exact value of x. Additional information or equations are required to solve for x.

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The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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