A football is kicked up from ground level at an initial upward velocity of 80 ft./s. The equation h=-16t^2 + 80t give the height h of the football after t seconds. What are realistic values for t?

Answers

Answer 1

Answer:

Step-by-step explanation:

Note that the given height equation, which is a quadratic) has a graph that opens downward.  Borrowing the quadratic formula, we find the roots of this equation, that is, the t values at which h(t) = 0:

The coefficients of this equation are a = -16, b = 80 and c = 0.

We need to find the roots of this quadratic.  By the quadratic formula,

      -(80) ±√(80² - 4(-16)(0) )         -80 ± 0

t = ------------------------------------- = ----------------- = -5/2 and -5/2 (seconds).

                 2(-16)                               -32

The initial height is 0 at t = 0 seconds and the final height 0 at 5/2 seconds.


Related Questions

3 more than 7 times a number x is 47​

Answers

Answer:

x = 44/7

Step-by-step explanation:

7x+3 = 47

Subtract 3 from each side

7x+3-3 = 47-3

7x = 44

Divide by 7

7x/7 = 44/7

x = 44/7

Please help me with the explanation! I need to remember how to do this

Answers

Answer:

like what do you want to remember.

I really need to know the answer of this question

I really need to know the answer of this question

Answers

Answer:

Amir 20 Rita 45

Step-by-step explanation:

20/4=5

5*9=45

so this satisfices the ration 4:9

Answer:

Amir : 20 sweets and Rita : 45 sweets

Step-by-step explanation:

Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.

we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.

use electronegativity values to identify elements that have certain characteristics. match the elements in the left column to the appropriate blanks in the sentences on the right.

Answers

Element that would be more effective in accepting electrons - Chlorine

Element that would be the  best insulator - As

Element that would combine with sulfur - Rb

What is electronegativity?

We know that in a bonding situation, it is possible to have electrons closer to one of the bonding atoms than the other. In such case, the electron cloud is seen to be closer to a given atom. The atom to which the electron cloud is closer is said to be more electronegative.

In the periodic table electronegativity is a property that tends to increase from the left hand side to the right hand side of the periodic table.

Learn more about electronegativity:https://brainly.com/question/17762711

#SPJ1

use electronegativity values to identify elements that have certain characteristics. match the elements

PLS HELP ILL GIVE BRAINLIST AND FOLLOW U

PLS HELP ILL GIVE BRAINLIST AND FOLLOW U

Answers

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

please help me this, this is very urgent!! thank you so much!

please help me this, this is very urgent!! thank you so much!

Answers

Answer:

KPL= 64 degrees JPL= 116 degrees

Step-by-step explanation:

2x+24+4x+36=180

combine like terms

6x+60=180

6x=120

x=20

2(20)+24=64

4(20)+36=116

Find the a/2 (the area in one tail outside of the confidence interval) and the critical value Zg 22 necessary to construct an 80% confidence interval. Round the z, the nearest hundredths place. to

Answers

The crucial value Zg 22 required to create an 80% confidence interval is roughly 1.28, rounded to the closest hundredth place. The area in one tail outside of the 80% confidence interval (a/2) is 10%.

The a/2 (the area in one tail outside of the 80% confidence interval) and the critical value Zg 22, can be found as,

1. Determine the total area outside the confidence interval: Since the confidence interval is 80%, the area outside the interval is 100% - 80% = 20%.

2. Calculate a/2: Divide the area outside the interval by 2 to find the area in one tail. In this case, a/2 = 20%/2 = 10%.

3. Find the critical value Zg 22: To determine the critical value (Z-score) associated with the 80% confidence interval, look up the corresponding Z-score in a standard normal distribution table or use a calculator or software that can compute the inverse of the standard normal cumulative distribution function (also called the Z-score calculator or the percentile calculator). In this case, you will look for the Z-score that corresponds to 90% (80% confidence interval plus one tail area), which is approximately 1.28.

So, the area in one tail outside of the 80% confidence interval (a/2) is 10%, and the critical value Zg 22 needed to construct an 80% confidence interval is approximately 1.28, rounded to the nearest hundredth place.

Learn more about "confidence interval": https://brainly.com/question/17097944

#SPJ11

Determine how (if possible) the triangles can be proved similar.

Answers

To prove that two triangles are similar, we must show that they have the same shape, but not necessarily the same size. This can be done by showing that the corresponding angles of the two triangles are equal and that the corresponding sides are in proportion.

To do this, we can use the Side-Side-Side (SSS) Similarity Theorem. This theorem states that if all three pairs of corresponding sides of two triangles are in proportion, then the two triangles are similar. To prove this, we must show that the ratio of each pair of corresponding sides is equal.

For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the ratio of AB to DE is equal to the ratio of BC to EF. We can do this by solving the following equation:

AB/DE = BC/EF

If the equation is true, then the two triangles are similar.

We can also use the Angle-Angle-Angle (AAA) Similarity Theorem to prove that two triangles are similar. This theorem states that if all three pairs of corresponding angles of two triangles are equal, then the two triangles are similar. To prove this, we must show that the measure of each pair of corresponding angles is equal.

For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the measure of angle A is equal to the measure of angle D, the measure of angle B is equal to the measure of angle E, and the measure of angle C is equal to the measure of angle F.

If the measures of the corresponding angles are equal, then the two triangles are similar.

Therefore, to prove that two triangles are similar, we must show that either the corresponding sides are in proportion (using the SSS Similarity Theorem) or the corresponding angles are equal (using the AAA Similarity Theorem).

To know more about triangles:

https://brainly.com/question/27996834

#SPJ4

What is the value of x in the equation −x = 3 − 4x + 6? −9 −3 3 9 Question 7(Multiple Choice Worth 5 points)

Answers

Answer:

-x=3-4x+6

3x=3+6

3x=9

X=3

Step-by-step explanation:

-x = 3 - 4x + 6

Simplify:

-x = -4x + 9

Add 4x to both sides

3x = 9

Divide both sides by 3:

X = 3

Which is the correct first line for dividing the function f(x)= x^3-12x+16 by (x-2) using synthetic division

Which is the correct first line for dividing the function f(x)= x^3-12x+16 by (x-2) using synthetic division

Answers

Answer:

C

Step-by-step explanation:

Which action by the body best releases heat and cools the body during and after exercising?
a:Chemicals are released to indicate thirst.
b;Perspiration occurs.
c;Breathing rate increases.
d;Muscles make lactic acid.

Answers

Answer:

b

Step-by-step explanation:

B , becausse when percipitation occurs you sweat which is how your body releases heat and cools you down.

When we exercise and the body needs to release heat and cool itself, it engages in the process of b. Perspiration

Perspiration:

Refers to when humans sweat Allows us to cool down because the sweat cools us down

When we are exercising therefore and we begin to sweat, this just means that the body is quite hot and needs to cool itself down.

In conclusion, the body uses perspiration to cool itself.

Find out more at https://brainly.com/question/2456079.

What is the height of the cone if its volune is 8,138.88 feet CUBED? Use 3.14 for pi. (Radius of base of cone is 12 ft)

Answers

Answer:

h = 54 feet

Step-by-step explanation:

The equation for the volume of a cone is V = \(\frac{1}{3}\) × π × r² × h.

You have the volume, which is 8,138.88, and the radius of the base, which is 12.

V = 8,138.88

h = 12

π = 3.14

When you plug everything you know into the equation, you get:

V = \(\frac{1}{3}\) × 3.14 × r² × h.

8,138.88 = \(\frac{1}{3}\) × 3.14 × (12)² × h

After you multiply everything on the right side, you come out with:

8,138.88 = 150.72 × h

To find h, you can divide each side by 150.72.

8,138.88 ÷ 150.72 = 54 feet!

The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.

The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write

Answers

Answer:

Step-by-step explanation:

in order to meet the sample assumption associated with parametric statistics, how many subjects are needed?

Answers

In order to meet the sample assumption associated with parametric statistics, the number of subjects needed depends on the specific statistical test being used. Generally, the rule of thumb is to have a minimum of 30 subjects in each group being compared.

However, this number may increase or decrease depending on factors such as the effect size, variability in the data, and the statistical power desired.

It is important to have enough subjects so that the data is normally distributed, and there is enough content loaded to meet the assumptions of the statistical test.

To know more about statistics refer here

https://brainly.com/question/31577270#

#SPJ11

Simplify: 5х - бу+ 4x

Answers

Answer: 9x - 6y

Step-by-step explanation:------------------------

WILL MARK BRAINLIEST!! URGENT HELP IS NEEDED!

In a paragraph, explain whether or not all geometric sequences are exponential functions.

Answers

Answer:All geometric sequences are exponential functions.

Step-by-stepexpanation:

An exponential function is a mathematical function in the form of f(x) = a^x, where a is a constant known as the base, and x is the variable. A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed constant, known as the common ratio. This means that the terms in a geometric sequence can be written in the form a, ar, ar^2, ar^3, ..., where a is the first term and r is the common ratio. By definition, this is equivalent to the exponential function f(x) = a*r^x, which has the same form as an exponential function. Therefore, all geometric sequences are exponential functions.

How do you find the area of a rhombus without diagonals?

Answers

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

If each xi has a gaussian (normal) distribution, how many samples k would we need to guarantee mk(x) is between 67 and 73 with probability 0. 925? note that your answer must be an integer

Answers

Assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.

To determine the number of samples required, we can utilize the properties of the Gaussian distribution and the concept of confidence intervals. Given that mk(x) follows a Gaussian distribution, we can express it as:

mk(x) ~ N(μk, σk^2)

where μk represents the mean and σk^2 represents the variance of the distribution.

To ensure that mk(x) falls between 67 and 73 with a probability of 0.925, we need to find the appropriate confidence interval.

The Z-score corresponding to a 92.5% probability is approximately 1.96 (for a two-tailed test). The Z-score represents the number of standard deviations from the mean.

The width of the confidence interval can be calculated using the following formula:

Width = 2 * Z-score * (σk / sqrt(k))

Here, k represents the number of samples.

Since the Z-score and desired width are given, we can rearrange the formula to solve for k:

k = (2 * Z-score * σk / Width)^2

Plugging in the values, we have:

k = (2 * 1.96 * σk / (73 - 67))^2

Now, it's worth noting that the value of σk (the variance) is not provided in the question. Consequently, without knowing the specific distribution parameters or further details about the data, we cannot calculate an exact value for k.

However, assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.

Learn more about probability   from

https://brainly.com/question/30390037

#SPJ11

Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°

Which pair of angles are alternate exterior angles of parallel lines v and w?b and da and ba and da and

Answers

Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles

The graph of a quadratic function f(x) has a vertex at (6, -1). What is the vertex of h(x) if h(x) = f(x-3) -4?

Answers

Answer:

(9, -5)

Step-by-step explanation:

To find the vertex of the function h(x), we need to apply the given transformation to the vertex of the original function f(x).

The function h(x) = f(x - 3) - 4 represents a horizontal shift of 3 units to the right and a vertical shift of 4 units downward from the original function f(x).

Given that the vertex of f(x) is (6, -1), we can apply the horizontal shift of 3 units to the right by adding 3 to the x-coordinate of the vertex, resulting in (6 + 3, -1) = (9, -1).

Next, we apply the vertical shift of 4 units downward by subtracting 4 from the y-coordinate of the vertex, giving us (9, -1 - 4) = (9, -5).

Therefore, the vertex of the function h(x) is (9, -5).

Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year's price. Calculate last year's price.

Answers

Answer:

(3.4/100)*115 = $3.91

Step-by-step explanation:

Divide by 100% and multiply by 115 (100%+15%)

28% of the animals in an animal
rescue centre are cats. What
percentage are dogs?

Answers

Answer: Percentage of cats = 28%

Therefore, percentage of dogs = (100-28)%

= 72%

Step-by-step explanation:

hope this helps have a great night❤️

Prove by induction that if we remove the root of a k-th order binomial tree, it results in kbinomial trees of the smaller orders. You can only use the definition of Bk​. Per the definition, Bk is formed by joining two Bk-1​ trees.

Answers

The statement holds true for the base case and it holds true for any k=n assuming it holds true for k=n, we can conclude that the statement holds true for all positive integer values of k. Hence, if we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in k binomial trees of the smaller orders.

The statement to be proven is: "If we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{k}$\) binomial trees of the smaller orders."

We will prove this statement by mathematical induction.

Base case k=1 :

A 1st order binomial tree has only one node (the root), so there are no smaller binomial trees to be formed if we remove the root. This statement holds true for the base case.

Inductive step:

Suppose the statement holds true for some \($\mathbf{k}=\mathbf{n}$\), i.e., if we remove the root of an \($\mathbf{n}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{n}$\) binomial trees of the smaller orders. We need to show that it also holds true for \($\mathbf{k}=\mathbf{n}+1$\)

using definition of mathematical induction.

Consider a \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, which can be formed by joining two \($\mathrm{n}^{\text {th }}$\) order binomial trees. If we remove the root of this \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, we are left with two nth order binomial trees. By the induction hypothesis, each of these \($\mathbf{n}^{\text {th }}$\) order binomial trees will result in n binomial trees of the smaller orders. Hence, the result of removing the root of the \($(n+1)^{\text {th }}$\) order binomial tree will be n + n = 2n binomial trees of the smaller orders, which implies that the statement holds true for \($\mathrm{k}=\mathrm{n}+1$\) as well.

For more such questions on  binomial tree

https://brainly.com/question/29612326

#SPJ4

Which of the following is a possible equation of a parabola. Explain why.

Which of the following is a possible equation of a parabola. Explain why.

Answers

Answer:

the answer is C

because for an equation to be an equation of a parabola, the coefficient of x^2 and y^2 has to be 1

When full a 22-gallon gas tank can hold 129.8 pounds of gasoline. Estimate the weight of one gallon of gasoline.

Answers

ANSWER:

\(5.9 \: pounds\)

STEP-BY-STEP EXPLANATION:

Gasoline put into one gallon

\( = \frac{129.8}{22} = \frac{64.9}{11} = 5.9\)

Which expression is equivalent to (2^0 / 2^3) ^2
A 1/8
B 1/16
C 1/32
D 1/64

Which expression is equivalent to (2^0 / 2^3) ^2 A 1/8B 1/16 C 1/32D 1/64

Answers

Answer:

D

Step-by-step explanation:\((\frac{2^0}{2^3})^2\)

__________________________________

Calculate the power

\((\frac{1}{2^3})^2\)

\((\frac{1}{8})^2\)

\(\frac{1}{64}\)

__________________________________

Determine true/false

\(Determine\ whether\ (\frac{2^0}{2^3})^2\ and\ \frac{1}{64}\ are\\ equivalent:\)

\(True\)

I hope this helps you

:)

1. Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration’s willingness to pay to save a student statistical life is no more than:

a) $50,000

b) $1,000,000

c) $100,000

d) $33,333

Answers

The administration's willingness to pay to save a student's statistics life is no more than option c) $100,000.

To estimate the administration's willingness to pay to save a student's statistical life, we need to calculate the cost per statistical life saved. Currently, the probability of a student dying from the plague is 1/3,000. If the rats are eradicated, this probability is reduced to zero. The cost of eradicating the rats is $1,000,000. To calculate the cost per statistical life saved, we divide the cost by the number of statistical lives saved.

The number of statistical lives saved is the product of the number of students on campus (30,000) and the reduction in probability (1/3,000).
Cost per statistical life saved = $1,000,000 / (30,000 * (1/3,000))
                         = $1,000,000 / (30,000 * 1/3,000)
                         = $1,000,000 / 10
                         = $100,000
Therefore, the correct answer is option c) $100,000.

To know more about the statistics, visit:

https://brainly.com/question/29359084

#SPJ11

Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix

=
18
x=18.

Answers

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

for such more question on parabola

https://brainly.com/question/17987697

#SPJ11

rudy wanted to drive a car that uses less gasoline, so he bought a hybrid. there is a proportional relationship between the volume of gasoline rudy's car uses when driving on the highway (in gallons), x, and the distance he drives it on the highway (in miles), y. x (gallons) y (miles) 1 25 2 50 3 75 4 100 what is the constant of proportionality? write your answer as a whole number or decimal.

Answers

The constant of proportionality for x gallons water and y miles is k = 25

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

A proportionate connection is simple to represent as a straight line on a coordinate plane. It is a straight line because it is directly proportional; the slope serves as the constant of proportionality.

The proportionate change along the x and y axes never varies, hence the slope or increase is constant.

According to the question,

x(gallons)     y(miles)

 1                       25

 2                      50

 3                      75

 4                      100

As we know, If y is proportional to x

=> y ∝ x

=> y = kx , where k is constant of proportionality

Using the table,

when x = 1 => y = 25

=> 25 = k(1)

=> k = 25

To know more about Constant of Proportionality here

https://brainly.com/question/29126727

#SPJ4

PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER​

PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER

Answers

Answer:

1. Paul has mixed up the translation of the ordered pair.

New location: (1, 5)

2. Option C :  E = (3, 2)  F = (8, 4)  G = (5, 7)

Step-by-step explanation:

An ordered pair is a pair of numbers, (x,y) , written in a particular order.

It is often used to represent a point on a coordinate plane.

1.  From inspection of the diagram, the market is located at (3, 8)

Paul's mistake is that he has mixed up the translation of the ordered pair.  He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.

The correct ordered pair for the new location of the market is (1, 5)

2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).  

E = (3, 2)

F = (8, 4)

G = (5, 7)

Other Questions
children in china, germany, brazil, and canada all have a similar path in their language development. according to noam chomsky, what does this suggest regarding the role of nature?\ Which of the following is the best description of a simple random sample of size n from a population of size N.A) Any method of sampling in which individuals are selected in a completely haphazard fashion.B) Any method of sampling in which every group of individuals of size n is equally likely to be selected.C) Any method of sampling in which every individual is equally likely to be selected.D) Any method of sampling in which each individual has a probability of n/N of being selected.E) Any method of sampling that involves the use of a random digits table. Scenario BRamona has recently been fatigued and anxious. She has missed at least three days of work each werkShe works as a job placement counselor helping people prepare to get their first job. Many of her clientshave never held a job and do not even know how to go about getting a job. Ramona is a sensitive personand wants to help everyone who wants a job to find one. She has had many successes, but recently shehas been unable to help place two single mothers. Ramona has described her fatigue to her doctor, butthe doctor has not been able to find anything physically wrong with Ramona.14. What hypothesis might a behaviorist form about Ramona's fatigue and inability to work? How mightthe hypothesis be tested?15. What factors might a social cognitvist consider in assessing Ramona's behavior? Discuss the role of law in civil society? Discuss Statute law with a suitable example? if 2a2,7b5 is divisible by 99, for digits a and b, what is the value of 10a b? which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5 7? M and N are the mid point of opposite sides of a square ABCD.a point is selected randomly in the square find the probability that it lies 1. in ADM2.in ADM but not ADN3neither in ADM nor in ADN The method of judicial selection (a model not used by Texas) in which a nominating committee appointed by the governor nominates candidates for a judicial vacancy, the governor then appoints one for a term of office and during the next general election he/she runs unopposed on a nonpartisan ballot is called to get the best results, write your claim promptly because delaying a claim makes it seem less important. true false HURRY!!!Which list accurately sorts the sequence of events that preceded the United States'entry into World War II?A. The Germans invaded Poland; the Germans conquered Britain; Japan attackedPearl Harbor; the United States declared war on Germany and Italy.B. The Germans conquered France; the Germans invaded the Soviet Union; Japanattacked Pearl Harbor; the United States declared war on Japan.C. The Germans invaded the Soviet Union; the Italians joined the Axis powers; theUnited States sent military assistance to Britain; the Germans and Italiansdeclared war on the United States.D. The Germans conquered France; Japan attacked Pearl Harbor; the Germansinvaded the Soviet Union; the United States declared war on Japan andGermany. What is literature present any 3 reasons to pursue its study? 6x^2+18x=0 rounded the nearest 10th The playlist consists of 21 songs by The Working Mamas, 12 songsby Chef Mo Cheese, 36 songs by The Snippers, 54 by Lucy andThe Jungle Cats, and 27 by Nuestra Paradise.Complete the probability model. Don't forget to writeeach answer as a percent.artistThe WorkingChef MoTheLucy and theNuestraMamasCheeseSnippersJungle CatsParadiseTotalprobability14 % a circle in the xy-plane has its center at 1,7 and has a radius of 3. an equation of this cirlcle is x2 The measurement, 4.970 g, has how many significant (measured) digits?Group of answer choices2304 1. Which of the following are examples of price discrimination? Explain your answers.a. A cell phone carrier offers unlimited calling on the weekends for all of its customers.b. Tickets to the student section for all basketball games are $5c. A restaurant offers a 20% discount for customers who order dinner between 4 and 6 p.m.d. A music store has a half-price sale on last year's guitars.e. A well-respected golf instructor charges each customer a fee just under the customer's maximum willingness to pay for lessons. The destroyed national heritage should be build in their own structure. Why? Write a letter to the Chief Executive Officer (CEO) of Reconstruction Authority suggesting the causes to build in their own structure. as a psychologist, dr. montero is guided by the two assumptionsthat events are: If 2 tacos and 4 drinks cost $16, and 3 tacos and 2 drinks cost $16, how much does a taco cost? The United States had supported France in Vietnam and now saw communism as a rising threat to the rest of Asia which became known by this idea. Group of answer choicescommunist manifestodomino theoryred scarecommunist