Solve for x to the nearest 10 th. 65 = 690(0.5)^x/13​

Answers

Answer 1

Answer:

x=−0.292355

Step-by-step explanation:


Related Questions

SEARCH UP:CNN 10 April 9th,2021

Watch the video then give me 10 facts

Answers

Answer:

Ketchup

Step-by-step explanation:

answer it
ned help
helpppp

answer it ned help helpppp

Answers

Answer:

Answer:

6265.8

Step-by-step explanation:

formule=(p×r×t)/100

=(5310×6×3)/100

=95580/100

=955.8

total amount=5310+955.8

=6265.8

Angle M has a measure of 47°. Triangle L M N is cut by perpendicular bisector N P. The lengths of sides L N and N M are congruent. Line segments L P and P M are congruent. Angle P M N is 47 degrees. What is the measure of angle PNL? 43° 47° 86° 94°

Answers

Answer:

The correct option is a. 43°

Step-by-step explanation:

The answer is A, 43 degrees!

Triangle DEF has vertices D(-4,3), E(1,2), and F(-3,3); 180 degrees​

Answers

Step-by-step explanation:

180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b)

A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10. 2 hours per week. Is the amount of time greater than that for this year? ten students were surveyed and asked how many hours they spent playing video games. The test statistics is equal to 0. 45. What is the p-value?.

Answers

From the hypothesis test, it is found that the p-value of the test is of 0.6634

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H₀ : μ = 10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₀ :  μ > 10.2

Ten students were surveyed, so there are 9 degree of freedom. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.6634

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how many different eight-card hands are there with no more than three red cards?

Answers

There are 56,750,808 different eight-card hands with no more than three red cards. This can be answered by the concept of combination formula.

To solve this problem, we first need to determine the total number of eight-card hands, which is given by the combination formula:

C(52,8) = 52! / (8! × 44!) = 74, 957, 440

This represents the total number of ways to choose eight cards from a deck of 52 cards.

Next, we need to calculate the number of eight-card hands with more than three red cards. We can do this by breaking it down into cases:

Case 1: Four red cards
We need to choose four red cards from the 26 available, and four non-red cards from the remaining 26:

C(26,4) × C(26,4) = 14,950,976

Case 2: Five red cards
We need to choose five red cards from the 26 available, and three non-red cards from the remaining 26:

C(26,5) × C(26,3) = 2,786,040

Case 3: Six red cards
We need to choose six red cards from the 26 available, and two non-red cards from the remaining 26:

C(26,6) × C(26,2) = 230,230

Case 4: Seven red cards
We need to choose seven red cards from the 26 available, and one non-red card from the remaining 26:

C(26,7) × C(26,1) = 9,156

Case 5: Eight red cards
We need to choose eight red cards from the 26 available:

C(26,8) = 230,230

To get the total number of eight-card hands with more than three red cards, we simply add up the results of these five cases:

14,950,976 + 2,786,040 + 230,230 + 9,156 + 230,230 = 18,206,632

Finally, to get the number of eight-card hands with no more than three red cards, we subtract the result of the above calculation from the total number of eight-card hands:

74, 957, 440 - 18,206,632 = 56,750,808

Therefore, there are 56,750,808 different eight-card hands with no more than three red cards.

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A teacher buys a yogurt cup for $2.00 and a textbook for $13.00 for each student in their classroom. The teacher spends a total of $405.00 for all of the yogurt cups and textbooks. How many students are in the teacher's class?

Answers

Answer:

27$

Step-by-step explanation:

A teacher buys a yogurt cup for $2.00 and a textbook for $13.00 for each student in their classroom. The teacher spends a total of $405.00 for all of the yogurt cups and textbooks. How many students are in the teacher's class?

expenditure for each student 2 + 13 = 15.

We divide the total expenditure by the number of students

405: 15 = 27 $ (your answer)

Answer:

27

Step-by-step explanation:

can someone help me with this? (look at the image)

can someone help me with this? (look at the image)

Answers

Answer:

H = (-1,3)

G = (-1,-1)

Step-by-step explanation:

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

Answers

Answer:

-3 1

Step-by-step explanation:

2+1 =3

-3-2=--=+5 answer

The functions f and g are defined as follows.

F(x)= 3x^3+5 g(x)= -3x+2

Find f(-4) and g (6).

Simplify your answers as much as possible.

Answers

f(-4) = -187
g(6) = -16

Work:
f(-4) = 3(-4)^3 + 5
= 3(-64) + 5
= -187

g(6) = -3(6) + 2
= -18 + 2
= -16

What is the simplified expression for
44 • 43 45

What is the simplified expression for44 43 45

Answers

The third one, 4^2 is the answer. Let me know if I got wrong

Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

in how many ways 7 people be seated at a round table if they can sit anywhere and two particular people must not sit next to each other

Answers

There are 360 ways to seat 7 people at a round table if they can sit anywhere and no restrictions are imposed. However, if two particular people must not sit next to each other, the number of possible seating arrangements decreases to 240.

To see why there are 360 ways to seat 7 people without restrictions, we can fix one person's position and then arrange the remaining 6 people in a line, giving us 6! ways to arrange the remaining people. However, since it is a round table, each arrangement can be rotated in 7 ways, so we divide by 7 to avoid overcounting, giving us a total of 6! / 7 = 360 ways.

To find the number of ways to seat 7 people if two particular people must not sit next to each other, we can first fix one of the two people in a seat. The other person cannot sit in either of the two adjacent seats, so there are 4 remaining seats where they can sit. Once we have placed the two people, there are 5 people remaining to seat. We can arrange them in a line in 5! ways, and then rotate the line in 5 ways to get all the possible arrangements at the round table. Therefore, the total number of ways to seat the 7 people with the restriction is 4 x 5! x 5 = 240.

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ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP

ARE THESE FUNCTIONS-TABLE A IS A FUNCTION-TABLE B IS A FUNCTION-NEITHER-BOTHHELP

Answers

neither is a function

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.

A pool has a capacity of 4,000 litres. Mr Osborne starts filling the empty pool with water at a rate of 20L/min.
The pool springs a leak after 20 minutes and water leaks out at 2L/min. Beginning from the time when Mr. Osborne
starts filling the empty pool, how long does it take until the pool is completely full?

A. 4 hours
B. 3 hours and 20 minutes
C. 3 hours and 40 minutes
D. 4 hours and 20 minutes
E. 3 hours

Answers

Answer:

C

Step-by-step explanation:

After 20 minutes, it fills 20L but leaks 2L -> the real filling rate at that time is 18L/min

The first 20 minutes, it fills : 20 x 20 = 400 litres -> it's left with 3600 litres

After that, the filling rate is 18L/min -> it will take : 3600 : 18 = 200 (minutes) to fill 3600 litres

So in total, it will take 200 + 20 = 220 minutes = 3 hours 40 minutes.

Option C is the correct one.

In a mixed school, the number of girls is 375. if the boys to girls is 4:5.how many boys are in the school

Answers

Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

FUNCION AFÍN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140, mas un importe por el consumo mensual a razon de $25 el m3. A) ¿cuanto debera abonar la familia a la que se le registro un consumo de 140 m3 en el mes de mayo? (Los meses no es de importar :3) B) ¿cual es la formula que define esta funcion para un numero "x" de m3 consumidos? C) representar graficamente la situacion planteada D) ¿que representa en este caso la ordenada al origen? Si alguien me ayuda, de verdad se lo agradezco

Answers

Answer:

El costo es:

Primero tenemos un cargo fijo de $140.

Luego tenemos un $25 por cada m^3 consumido.

Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:

C(x) = $140 + $25*x.

Esto es una relación linear.

A) En este caso tendríamos x = 140

C(140) = $140 + $25*140 = $3640

B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.

C) El grafico estará al final.  En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.

D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.

FUNCION AFN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140,

I really need help on this​

I really need help on this

Answers

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

Pre-Solving

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Part A

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Part B

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

HELP ME
Create an Always/Sometimes/Never problem that involves quadrilaterals whose answer is Always. Replace one word from your Always/Sometimes/Never to the phrase “at least” to change the answer to Sometimes.

BRAINLIEST FOR A CORRECT ANSWER

Answers

Based on the given question the we can say that Always statement will be - The sum of all angles of a quadrilaterals is always equals to 360°.

The general statement for the n sided polygon is (n-2)*180.

For the above statement, we can say that the value of n should at least be greater than 2 (n>2).

What is a Quadrilateral?

A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

A quadrilateral, often known as a square, rectangle, or rhombus, is a polygon with four sides. You are currently staring at a computer screen that is most likely shaped like a quadrilateral. You'll study the quadrilateral in geometry classes.

When is sum of angles of a Quadrilateral equal to 360 degree?

The answer is clearly always.

Similarly we can create more problems and we should also know that sum of angles of general n sided polygon = (n-2)*180

if we put n = 4 in above equation we get 360 degree as answer.

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The researchers conducted a simple random sample and finds the
data below:
Celebrations
Number of ppl that celebrate
1
1653
2
1357
3
1865
4
2311
5
1594
6
2056
Test the researchers cl

Answers

To test the researcher's claim that the population proportion of individuals who celebrate more than three celebrations per year is less than 0.5 at a 5% level of significance, we will have to perform a hypothesis test.Hypothesis testing can be divided into two broad categories.

null hypothesis and alternative hypothesis. Null hypothesis is the one that we assume to be true unless there is enough evidence against it.Alternative hypothesis is the one that we are testing to see whether or not we have enough evidence against the null hypothesis. The null and alternative hypotheses for this test are as follows:

Null hypothesis: \(p ≥ 0.5\)Alternative hypothesis: \(p < 0.5\)

We will use the following test statistic to test the hypothesis:\(z = (p - P) / sqrt(P(1-P)/n)\)Where p is the sample proportion, P is the hypothesized population proportion, n is the sample size.

To calculate the value of the test statistic, we first need to find the sample proportion:\(p = (1653 + 1357 + 1865 + 2311 + 1594 + 2056) / (1653 + 1357 + 1865 + 2311 + 1594 + 2056) = 1.5 / 10836 = 0.1383\)We also need to find the critical value of the test statistic at a 5% level of significance.

Since this is a one-tailed test, the critical value is -1.645. We can find this value using a normal distribution table.

Next, we need to calculate the value of the test statistic:\(z = (0.1383 - 0.5) / sqrt(0.5(1-0.5)/10836)z = -97.1567\)

The calculated value of the test statistic is less than the critical value, we reject the null hypothesis and conclude that there is enough evidence to support the researcher's claim that the population proportion of individuals who celebrate more than three celebrations per year is less than 0.5 at a 5% level of significance.

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if sue will only buy apples if the price decreases because each apple yields a smaller amount of additional satisfaction, she is exemplifying the law of .

Answers

Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

Explain the term diminishing marginal utility?

The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.

For instance, three bites of sweets are preferable to two, but the pleasure does not improve significantly after the nineteenth mouthful.One typical good having diminishing marginal value is food. Consider an apple as an illustration. An apple is pretty valuable if you're famished. However, as you consume more apples, you become less hungry, decreasing the value of each new apple.

Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

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a random sample of high school seniors were asked whether they were applying for college. the resulting confidence interval for the proportion of students applying for college is (0.65,0.69). what is the margin of error?

Answers

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

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A 63 sqm. Office space is in need of new tiles for it to resume work. The unit cost of a certain tile is P300 and a labor cost 100% of the materials. How much is the Total cost of the materials and labor?

Answers

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Transform the quadratic equation into a perfect square equation by completing the square.x² + 4x + 2 = 0Enter your answer in the boxes.

Answers

Given: A quadratic equation,

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

Required: To transform the equation by completing the square.

Explanation: The general quadratic equation of the form,

\(ax^2+bx+c=0\)

can be transformed into a complete square by adding and subtracting the following term,

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

Hence, adding 4 and subtracting 4 from the given equation,

\(x^2+4x+4-4+2=0\)\(x^2+2\times2\times x+\text{ }2^2-2=0\)

Now the equation can be transformed as follows,

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

or,

\((x+2)^2=2\)

Final Answer: The

Sophie is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Sophie is riding for 4 miles? How much would a taxi ride cost that is mm miles long?

Answers

Solution:

Cost of ride:  4 Miles

$3.50 + 4 x $1.25 = $8.50

Cost of ride , m miles

= $3.50 + $1.25m

Khalaf wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements shown in the figure below. Use these
measurements to find the length of the tunnel.
201 m
146 m
85
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a meter.
meters
Х
5
?

Khalaf wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements

Answers

Answer:

237.9 meters

Step-by-step explanation:

Let x represent the length of the tunnel.

Applying the Cosine Law, we have:

x² = 201² + 146² - 2*201*146*Cos(85)

x² = 61,717 - 58,692*0.0872

x² = 61,717 - 5,117.9424

x² = 56,599.0576

x = √56,599.0576

x = 237.9 m (nearest tenth)

A ladder which is 4m long leans against a wall, the bottom of the ladder is 1.5m from the bottom of the wall, how high up the wall does the ladder go?

Answers

To determine how high up the wall the ladder goes, we can use the Pythagorean theorem,  so the ladder goes approximately 3.71m up the wall.

which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms the hypotenuse, and the distance from the bottom of the wall to the bottom of the ladder forms one of the other sides. Let's call the height up the wall that the ladder reaches "h".

Using the Pythagorean theorem, we have:

ladder^2 = height^2 + distance^2

Solving for the height (h):

h = sqrt(ladder^2 - distance^2)

Given that the ladder is 4m long and the distance from the bottom of the wall to the bottom of the ladder is 1.5m, we can substitute these values into the formula:

h = sqrt(4^2 - 1.5^2)

h = sqrt(16 - 2.25)

h = sqrt(13.75)

h ≈ 3.71m

Therefore, the ladder goes approximately 3.71m up the wall.

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nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey

Answers

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

what value of x will make the sides equal

7(x-19) = 7*3​

Answers

22 because 7x(22-19=3)=21=7x3=21

It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.

Answers

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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Which graph represents the function p(x) = (x - 11?

5

3

3

2+

2

3

2

5-5-3-2-15

1 2 3 4 5

-6-5-4-3-2-13

54

-2

Y 7 7

-3

----

2345

7

Answers

The graph that represents the function p(x) = (x - 11) is not given in the question. However, to graph this function, you would start by plotting the point (11,0) as the y-intercept. Then, you would use the slope of 1 to plot additional points. For example, if you go one unit to the right from (11,0), you would go up one unit to (12,1).

Similarly, if you go one unit to the left from (11,0), you would go down one unit to (10,-1). You could continue this process to plot additional points and then connect them with a straight line to create the graph of the function. It seems like there are some typos and irrelevant parts in your question, but I'll help you with the core question.

The function you mentioned is p(x) = (x - 1)^2. This is a quadratic function, and its graph will be a parabola. The vertex of the parabola is at the point (1, 0), since the function is in the form (x - h)^2 where h is 1. The parabola opens upwards because the coefficient of the (x - 1)^2 term is positive. So, the graph representing the function p(x) = (x - 1)^2 will be a parabola with its vertex at (1, 0) and opening upwards.

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Today Al bought 36 hats and now has triple thenumber of hats he had yesterday. If tomorrow Albuys triple the number of hats he has today, howmany hats will Al have after tomorrow's purchase? 1Select the correct answer.Claire lost weight with the support and encouragement of her friends. They helped her stick to a healthy diet and inspired her to engage inphysical exercise every day. Identify the factor that helped her lose weight.OA cultureB. heredityOC. physical environmentOD. social environment Find the first and second derivative of the following function in terms of the parametersc1 and c2.y=c1x + c2x5y=y=Find a linear second-order differential equationF(x, y, y, y) = 0for whichy = c1x + c2x5is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y and ypp for y.) which section of the bankruptcy code discusses the automatic stay? Explain how you decided which illustration represents the most recent rock pocket mouse population and why you positioned the others in the order that you did. Michael finished " of a bag of candy in 3 days. at this rate, how long will it take him to eat the entire bag of candy? Scientists think the _____ is solid iron with a layer of liquid iron surrounding it. A. outer core B. inner core C. mantle D. crust is oxygen an exhaustible natural resource ? Whats the difference between Spanish speaking counties and English speaking countries (for greetings)PLS HELP I NEED 2 PARAGRAPHS Salungguhitan ang mga pandiwa sa pangungusap. Isulat sa patlang ang aspekto o panahunan nito (PANGNAGDAAN, PANGKASALUKUYAN, PANGHINAHARAP). Can you please put this mini paragraph in your own words?Some schools tell parents that uniforms are a good idea because they save families money. This is not necessarily true. It is logical to say that when teenagers come home from school, they want to change out of the clothes that they were forced to wear to school. Well, what are they going to change into? They will want clothes of their own choice, of course. This means that parents would still have to provide their children with clothes. Plus they would have to buy a separate set of clothes for their children to wear to school each day. What is another name for this huge organism? What is the scientific name? 12Identify all the functional groups that are present in the following molecules.OHZICH3CH0HaCHaC!CH3H(in)(iv)NH21bList the following compounds in order of decreasing boiling point. Provide the names for each Which feminine racial identities were represented by the first women's rights movements? Which were not? 1. The election of 1800 was the first time that both parties actually had what for each party?2. There was a tie and it was down to Thomas Jefferson and who?3. After the election, which amendment made it a little better?4. What was Jeffersons campaign slogan?5. Why did Martha Washington free the slaves that were property of her husband?6. What is the name of the first large-scale slave rebellions?7. What were Jeffersons 4 main goals?8. What part of the military really needed to have money spent on them?9. Who was Chief Justice of the Supreme Court during Jeffersons presidency?10. The case of Marbury vs. Madison set the precedent that the Supreme Court could find laws to be what?11. What had happened in Haiti that caused Napoleon to want to sell the Louisiana Territory?12. How much was the total purchase at that time?13. What was the other controversial act as president for Jefferson? A bullet with mass m and moving horizontally with a speed v, hits a block with mass M. The block is hanging at rest from a vertical massless rope. a) Find a formula that relates the height of the swing H to the initial velocity of the bullet vo, if you are told that the bullet makes an elastic collision with the block. b) Find a formula that relates the height of the swing H to the initial velocity of the bullet vo, if you are told that the bullet makes a completely inelastic collision with the block, that is, it gets embedded in the block as good as instantaneously, so that the block+bullet do not swing out of the way significantly during the collision process. The following formulas may be useful: V1f =(m1 m2) v1i + 2m2 v2i / m1 + m2 andV2f =(m2 m1) v2i + 2m1 v1i / m1 + m2 How does a graph support the text in an article or book?O A graph displays information numerically and visually to present newinformation or put information in the text into a visual.O A graph shows dates and events to give the reader an idea of when events in atext happenedA graph provides an image related to the text and breaks it down into itsimportant partsO A graph presents data related to the text in an interactive way to emphasize keywords and important details in the text. In all the world, there (be) __________ only 14 mountains that (reach) __________above 8,000 meters. What is the most soluble in water? iconic, covalent, metallic or nonmetallic a string is wound around a uniform disk of radius r and mass m