Write each expression in a simpler form that is equivalent to the given expression. Let F be a nonzero number. f-4

Answers

Answer 1

Answer:

f-4

Step-by-step explanation:

f-4  cannot be simplified

This is the simplest form

Answer 2

Answer:

[tex]\large \boxed{f-4}[/tex]

Step-by-step explanation:

[tex]f-4[/tex]

[tex]\sf f \ is \ a \ nonzero \ number.[/tex]

[tex]\sf The \ expression \ cannot \ be \ simplified \ further.[/tex]


Related Questions

An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of ^{14}\text{C} ​14 ​​ C. Estimate the minimum age of the charcoal, noting that

Answers

An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of [tex]^{14}\text{C}[/tex] ​. Estimate the minimum age of the charcoal, noting that  [tex]2^{10} = 1024[/tex]

Answer:

57300 years

Step-by-step explanation:

Using the relation of an half-life time in relation to fraction which can be  expressed as:

[tex]\dfrac{N}{N_o} = (\dfrac{1}{2})^{\frac{t}{t_{1/2}}[/tex]

here;

N represents the present atom

[tex]N_o[/tex] represents the  initial atom

t represents the time

[tex]t_{1/2}[/tex] represents the half - life

Given that:

Its charcoal is found to contain less than 1/1000 the normal amount of [tex]^{14}\text{C}[/tex] ​.

Then ;

[tex]\dfrac{N}{N_o} = \dfrac{1}{1000}[/tex]

However; we are to  estimate the minimum age of the charcoal, noting that  [tex]2^{10} = 1024[/tex]

so noting that [tex]2^{10} = 1024[/tex], then:

[tex]\dfrac{1}{1000}> \dfrac{1}{1024}[/tex]

[tex]\dfrac{1}{1000}> \dfrac{1}{2^{10}}[/tex]

[tex]\dfrac{1}{1000}> (\dfrac{1}{2})^{10}[/tex]

If

[tex]\dfrac{N}{N_o} = \dfrac{1}{1000}[/tex]

Then

[tex]\dfrac{N}{N_o} > (\dfrac{1}{2})^{10}[/tex]

Therefore, the estimate of the minimum time needed is 10 half-life time.

For [tex]^{14}\text{C}[/tex] , the normal half-life time = 5730 years

As such , the estimate of the minimum age of the charcoal =  5730 years × 10

= 57300 years

How can a company use a scatter plot to make a future sales decision?​

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

A scatter plot is a two-dimensional diagram that displays individual data points based on the intersection of two variables, shown as vertical and horizontal axes. Individual data points or values are plotted at particular coordinates of the two variables being studied. Patterns of data points provide a visual representation of relationship between the two variables. A wide range of jobs and careers use this valuable analytical tool for data analysis and decision making.

My conclusion,

They help organize important data for future occurences.

Use technology to solve the following problem: A certain car model has a mean gas mileage of 30 miles per gallon (mpg) with a standard deviation A pizza delivery company buys 42 of these cars. What is the probability that the average mileage of the fleet is greater than

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, let me solve a question that is exactly like this one.

A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 43 of these cars. What is the probability that the average mileage of the fleet is greater than 33.5 mpg?

Answer:

Given that the mean (μ) is 34 miles per gallon (mpg) with a standard deviation (σ) 5 mpg. The sample (n) is 43.

The z score is used in statistics to determine by how much the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\for\ a \ sample\ size:\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

For the average mileage of the fleet is greater than 33.5 mpg (x > 33.5):

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }\\z=\frac{33.5-34}{5/\sqrt{43} } =-0.66[/tex]

From the normal distribution table, The probability that the average mileage of the fleet is greater than 33.5 mpg = P(x > 33.5) = P(z > -0.66) = 1 - P(z < -0.66) = 1 - 0.2546 = 0.7454 = 74.54%

As a bowling instructor, you calculate your students' averages during tournaments. In 5 games, one bowler had the following scores: 143, 156, 172, 133, and 167. What was that bowler's average?

Answers

Answer:

154.2

Step-by-step explanation:

To find the average of the bowlers scores, you have to find the mean by adding the values and dividing by the number of values.

To find the bowlers average add the scores and divide by the number of games.

143+156+172+133+167/5=154.2 is the average score for the bowler.

What is 7 x -5?........

Answers

Answer:

-35

Step-by-step explanation:

7*5*(-1)

The solution to the expression 7 * -5 is -35

How to evaluate the expression

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

7 * -5

Evaluate all the products in the expression

so, we have the following representation

7 * -5 = -35/1

Evaluate all the quotients in the expression

so, we have the following representation

7 * -5 = -35

Lastly, we have

7 * -5 = -35

Hence, the solution is -35

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or Ace

Answers

Answer:

[tex]P(A\ or\ H) = \frac{4}{13}[/tex]

Step-by-step explanation:

Given

Number of Cards = 52

Required

Determine  the probability of picking a heart or ace

Represent Ace with Ace and Heart = H

In a standard pack of cards; there are

[tex]n(A) = 4[/tex]

[tex]n(H) = 13[/tex]

[tex]n(A\ and\ H) = 1[/tex]

[tex]Total = 52[/tex]

Because the events are non mutually exclusive

[tex]P(A\ or\ H) = P(A) + P(H) - P(A\ and\ H)[/tex]

Where

[tex]P(A) = \frac{n(A)}{Total} = \frac{4}{52}[/tex]

[tex]P(H) = \frac{n(H)}{Total} = \frac{13}{52}[/tex]

[tex]P(A\ and\ H) = \frac{n(A\ and\ H)}{Total} = \frac{1}{52}[/tex]

Substitute these values in the above formula

[tex]P(A\ or\ H) = P(A) + P(H) - P(A\ and\ H)[/tex]

[tex]P(A\ or\ H) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]

Take LCM

[tex]P(A\ or\ H) = \frac{4 + 13 - 1}{52}[/tex]

[tex]P(A\ or\ H) = \frac{16}{52}[/tex]

Reduce fraction to lowest term

[tex]P(A\ or\ H) = \frac{4}{13}[/tex]

Hence, probability of a heart or ace is 4/13

Write the following as an inequality: y is no greater than 4 but more than –2.

Answers

Answer:

Step-by-step explanation:

First lets focus on, y is no greater than 4,

y < 4

Now we focus on, more than –2,

y > -2

Combining these inequalities get us,

-2 < y < 4

Answer:

-2<y≤4

Step-by-step explanation:

Translate verbal expression to an algebraic expression

8 times a number x is subtracted by 4

Answers

Answer:

8x - 4

Step-by-step explanation:

8x - 4

Translated algebraically expression is 8x-4

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given verbal expression that,

8 times a number x is subtracted by 4

(1) Let x = the unknown number.

(2) "8 times a number of x" is translated algebraically as 8x

(3) "same number x is subtracted by 4" is translated algebraically as 8x -4

Putting analyses together translated algebraically into the following equation as the result : 8x-4

Learn more about algebraic expressions

https://brainly.com/question/13947055

#SPJ2

The points (-6,-4) and (3,5) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
The length of the radius is a
(Round to the nearest hundredth as needed.)

Answers

Answer:

40.5

Step-by-step explanation:

diameter^2 = (3 +6)^2 + (5+4)^2

or, d^2 = 9^2 + 9^2

or, d^2 = 81 +81

or,d^2 =162

or d=√ 162

• d= 81

then radius = d/2

r = 81/2

•r= 40.5 ans

A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students. There are only 20 drivers available on the day of the field trip.
The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.
Determine the minimum cost of transporting all 450 students.

Answers

Answer:

Step-by-step explanation:

From the given information;

Let consider p to be the number of large buses and q to be the number of small buses.

The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students.

The linear inequality represent the students with respect to the total students s:

30p + 15q   ≥  450   -----(1)

They are only 20 drivers available on the day of the field trip, therefore only 20 buses can be used. So,

p  +   q    ≤  20      ----- (2)

Also , There  are only 19 small buses and 18 large buses:

0 ≤  p ≤ 18

0 ≤  q ≤ 19

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day

In order to minimize the cost of transporting all 450 students, let z be the minimal cost. i.e

z = 225p + 100q

From equation 1 and 2 ; if we plot them graphically on the graph, the following points of intersection were obtained as shown in the sketch below, in which the shaded region lies the answer.

The point of intersection between equation (1) and (2) is (p,q) = (10,10)

From the critical point in the sketch of our graph attached below, the following values of z can be determined.

Point(s)              Value for Z

(15,0)                 15 ×  225 = 3375

(18,0)                 18 ×  225 =  4050

(18,2)                 (18 × 225 )+ (2 × 100 ) = 4250

(10,10)                (10 × 225) + (10 × 100) = 3250

Thus ; the minimum cost of transporting all 450 students = $3250

Evaluate the following expressions: 2(−1 + 3) − 7

Answers

Answer:

-3 is the answer.

Step-by-step explanation:

=2(-1+3)-7

=2(2)-7

=4-7

=-3

Hope it will help you :)

A+B = 20
B+C= 30
C+ A= 40
C =?

Answers

55 I hope this helps you!

determine the missing term x in the geometric sequence below
9,x,225

Answers

Answer:

45

Step-by-step explanation:

multiply 9 by 5 to get 45

then, multiply 45 by 5 to get 225

The geometric sequence is 5(previous number)

2/5 × 3/7? please help ​

Answers

Answer:

[tex]\frac{2}{5}[/tex] • [tex]\frac{3}{7}[/tex] = [tex]\frac{6}{35}[/tex]

Answer: 0.171

Step-by-step explanation:

First, do 2/5 which would equal 0.4

Second, so 3/7 which would equal 0.428571428571429

Lastly multiply the two answers together to get 0.171428571428571

Consider these five values a population: 7, 4, 6, 4, and 7. Determine the mean of the population. (Round your answer to 1 decimal place.)

Answers

Answer:

[tex]Mean = 5.6[/tex]

Step-by-step explanation:

Given

[tex]7,4,6,4,7[/tex]

Required

Determine the mean

Mean is calculated as thus;

[tex]Mean = \frac{\sum x}{n}[/tex]

Where n is the number of observation;

In this case;

[tex]n = 5[/tex]

and [tex]\sum x[/tex] is the sum of the observations

The expression becomes

[tex]Mean = \frac{7+4+6+4+7}{5}[/tex]

[tex]Mean = \frac{28}{5}[/tex]

[tex]Mean = 5.6[/tex]

Hence, the mean of the population is 5.6

2. (1 pt) The following statement is true or false;
When we know the population standard deviation, o, we use a standard normal
distribution (z-score) to calculate the error bound EBM and construct the
confidence interval and when the population standard deviation, o, is unknown,
we use a Student's t distribution (t-score) to calculate the error bound EBM and
construct the confidence interval.
a. true
b. false​

Answers

Answer: True

If you know the population standard deviation (sigma), then you use the Z distribution. If sigma is not known, then you use the T distribution.

Side note: Even if sigma is not known, you could use the Z distribution if the sample size n is greater than 30. If n > 30, then the T distribution is approximately about the same as the Z distribution.

Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each side of the square in centimeters? Use complete sentences to explain your reasoning.

Answers

Answer: approximately 10.8 centimeters

Step-by-step explanation:

We have a square, where each side measures approx. 4.25 in

Now we know that 1in ≈ 2.54 cm

Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm

So the approximate measure of the sides in centimeters is:

4.25*(2.54)cm = 10.8 cm

So we have that each side measures approximately 10.8 centimeters

Which of the following is a correct factorization of this trinomial?
-4x² +11x-6
A. -(4x+3)(x + 2). B. -4(x+3)(x + 2)
C. -(x+3)(x-4)
D. (-4x+3)(x-2)

Answers

Answer:

D

Step-by-step explanation:

Step 1: Find the factors of 4 and -6

-4x² +11x-6

-4x           3  

1x           -2

(This works because -4 x -2 multiple to 8 and 3 x 1 gives you 3 and when you add it up it gives you the 'b' term)

Step 2: Read the numbers from left to right starting from the top to bottom

(-4x+3)(1x-2)

Therefore the answer to the question is D.

Answer:

A

explain

= -4x^2-11x-6

= -4x^2-8x-3x-6

= -4x(x+2)-3(x+2)

= (x+2) (-4x-3)

= -(4x+3) (x+2)

Gail paid a total of $12,000 for stock that was $6 per share. If she sold all her shares for $18,000, how much profit on each share did she make?
A
$9
B
$3
С.
S2000
D
$6.000

Answers

Answer:

$3

Step-by-step explanation:

Given

Total Cost Price: $12,000

Unit Cost Price= $6

Total Selling Price = $18,000

Required

Determine the profit on each share

First, we need to determine the units of share bought;

Units = Total cost price / Unit Cost Price

[tex]Units = \frac{\$12000}{\$6}[/tex]

[tex]Units = 2000[/tex]

Next is to determine the selling price of each share; This is calculated as follows;

Unit Selling Price = Total Selling Price / Units Sold

[tex]Unit\ Selling\ Price = \frac{\$18000}{\$2000}[/tex]

[tex]Unit\ Selling\ Price = \$9[/tex]

The profit is the difference between the unit cost price and unit selling price

[tex]Profit = Unit\ Selling\ Price - Unit\ Cost\ Price[/tex]

[tex]Profit = \$9 - \$6[/tex]

[tex]Profit = \$3[/tex]

PLEASE HELP ASAP Madelyn drove a race car in a race. She averaged 55 mph and began the race 0.5 hours ahead of the other drivers. The variable d represents Madelyn's distance driven, in miles. The variable t represents the number of hours since the other drivers began to race. Which equation can be used to determine the distance Madelyn drove t hours into the race? d=55t−0.5 d=55(t+0.5) d=55(t−0.5) d = 55t + 0.5

Answers

Answer:

d=55(t+0.5)

Step-by-step explanation:

d=55(t+0.5)

Answer:

27.5

Step-by-step explanation:

How do you find x when knowing the probability?

Answers

Answer:

x

Step-by-step explanation:

probability is the branch of mathematics concerning numeral descriptions of how likely an event is to occur or how likely it is that a proposition is true

Solve x2 + 9x + 8 = 0 by completing the square. What are the solutions?
O (1.-8)
O (1.8)
O (-1-8)​

Answers

Answer: (-1,-8)

Explanation:

x^2 + 9x + 8 = 0
x^2 + 9x = -8

Add (9/2)^2 to both sides

x^2 + 9x + (9/2)^2 = -8 + (9/2)^2
(x + 9/2)^2 = -8 + 81/4
(x + 9/2)^2 = -32/4 + 81/4
(x + 9/2)^2 = 49/4

Square root both sides

Sqrt (x + 9/2)^2 = sqrt 49/4
x + 9/2 = plus or minus 7/2

Set x + 9/2 = 7/2:

x + 9/2 = 7/2
x = 7/2 - 9/2
x = -2/2 = -1

Set x + 9/2 = -7/2:
x + 9/2 = -7/2
x = -7/2 - 9/2
x = -16/2 = -8

What is the correct alternate hypothesis if the pilots' average gain score due to alcohol is indicated in the hypothesis statement by

Answers

Answer:

Ha : Pilots average gain score not due to alcohol.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. Here the null hypothesis is that pilots average gain due to alcohol. Then if there is no alcohol what is pilots average gain. This thing will be tested as alternative hypothesis.

Is y = 8x -15 a function?

Answers

Answer:

Hey there!

A function only has one y value for every x value, so this is a function. Additionally, all linear equations (that are in the y=mx+b form) are functions.

Hope this helps :)

No, the graph suggests that the increase in adoptions from 2000 to 2005 was less significant than it actually is. No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is. Yes, the graph fairly and accurately depicts the data in an objective manner.

Answers

Answer: No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is

Step-by-step explanation:

Ok, in the graph we can see that the minimal value for the y-axis is y = 4000.

This means that the graph is like a "zoom" tath points to the tips of the boxes.

This makes the relative difference between the columns seems to be bigger than it actually is, so the correct answer would be:

"No, the graph suggests that the increase in adoptions from 2000 to 2005 was more significant than it actually is"

And remember that this happens for the people that only see the graph for a second and draw the conclusions (most of the people). While in the graph you can read all the information that you need to calculate exactly the relative change.

Quadrilateral RSTV is dilated with respect to the origin by a scale factor of 1.5 to produce quadrilateral R'S'T'V' . Vertex R is located at (6, -9). Which ordered pair represents R' after the dilation?

Answers

Answer:

(9, -13.5)

Step-by-step explanation:

It's given in the question that a quadrilateral RSTV is dilated with a scale factor of 1.5 with respect to the origin to form R'S'T'V'.

Rule for dilation is,

(x, y) → (kx, ky)

where 'k' is the scale factor.

If vertex R of the quadrilateral is (6, -9),

By the given rule of dilation,

R(6, 9) → R'[(1.5 × 6), -(1.5 × 9)]

           → R'(9, -13.5)

Therefore, Option given in bottom right (9, -13.5) will be the answer.

I WILL RATE YOUR BRAINLIEST Marius opened a savings account. The sequence {200, 208, 216.30, 225, …} describes the amount of interest he earns each year his account is active. If this pattern continues, how much total interest will Marius have earned by the 30th year the account is active?

Answers

Answer:

11,215

Step-by-step explanation:

Given the sequence of interest earned by Marius on his savings account as

200, 208, 216.30, 225, …, the sequence of interest forms a geometric sequence since they have a common ratio.

[tex]r =\frac{T_2}{T_1}= \frac{T_3}{T_2}= \frac{T_4}{T_3}\\ r =\frac{208}{200}= \frac{216.30}{208}= \frac{225}{216.30} \approx 1.04[/tex]

To get how much total interest will Marius have earned by the 30th year the account is active, we will find the sum of the first 30 terms of the geometric sequence as shown.

[tex]S_n =\frac{ a(r^n-1)}{r-1} \ for \ r> 1\\ \\\\ n = 30, a = 200, r = 1.04\\S_{30} = \dfrac{ 200(1.04^{30}-1)}{1.04-1}\\\\S_{30} = \dfrac{ 200(3.243-1)}{0.04}\\\\S_{30} = \dfrac{ 200(2.243)}{0.04}\\\\S_{30} = \dfrac{ 448.6}{0.04}]\\\\S_{30} = 11,215[/tex]

Hence total interest that Marius will earn by the 30th year the account is active is 11,215.

the correct answer is

S30= 200(1-1.04^n)/1-1.04

i took the test

Alpha (a) is used to measure the error for decisions concerning true null hypotheses. What is beta (ß) error used to measure?

Answers

Answer:

Alpha (α) is used to measure the error for decisions concerning true null hypotheses, while beta (ß) is used to measure error for decisions concerning false null hypotheses.

Step-by-step explanation:

Suppose we have events X and Y.

1. If it is said that X equals Y, when X is actually not equal to Y, α is used in this case, the null hypotheses.

2. If X is said to not be equal to Y, when X is actually equal to Y, β is used in this case, the false null hypotheses.

Need Help
Please Show Work​

Answers

Answer:

18 - 8 * n = -6 * n

The number is 9

Step-by-step explanation:

Let n equal the number

Look for key words such as is which means equals

minus is subtract

18 - 8 * n = -6 * n

18 -8n = -6n

Add 8n to each side

18-8n +8n = -6n+8n

18 =2n

Divide each side by 2

18/2 = 2n/2

9 =n

The number is 9

━━━━━━━☆☆━━━━━━━

▹ Answer

n = 9

▹ Step-by-Step Explanation

18 - 8 * n = -6 * n

Simple numerical terms are written last:

-8n + 18 = -6n

Group all variable terms on one side and all constant terms on the other side:

(-8n + 18) + 8n = -6n + 8n

n = 9

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

3. A medical devices company wants to know the number of MRI machines needed per day. A previous study found a standard deviation of four hours. How many MRI machines must the company study in order to have a margin of error of 0.5 hours when calculating a 90% confidence interval

Answers

Answer:

173 MRI machines

Step-by-step explanation:

Margin of error E = 0.5

Confidence interval 90% = 1-0.9 = 0.1

Standard deviation = 4 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*4)/0.5]²

= 13.16²

= 173.18 is approximately equal to 173

The company has to study 173 machines.

Other Questions
Resources have an ethical value if A. They are used to produce goods. B. We have a right to take advantage of them. C. They are particularly beautiful. D. We have a duty to protect them. Find the perimeter of the following rectilinear figure. PLEASE HELP!!! Jim made a table to show the length of his walking sticks.Which walking sticks measured less than 3/5 meters? Choose 2 answers Professional Products Inc., a wholesaler of office products, was organized on February 5 of the current year, with an authorization of 75,000 shares of preferred 1% stock, $70 par and 450,000 shares of $15 par common stock. The following selected transactions were completed during the first year of operations: Journalize the transactions. Feb. 5. Issued 95,000 shares of common stock at par for cash. Feb. 5. Issued 400 shares of common stock at par to an attorney in payment of legal fees for organizing the corporation. Apr. 9. Issued 15,500 shares of common stock in exchange for land, buildings, and equipment with fair market prices of $42,000, $231,000, and $52,500, respectivelyJune 14. Issued 23,000 shares of preferred stock at $80 for cash. Which of the following equations have exactly one solution? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2x-31=2x-31 (Choice B) B 2x-31=-2x-31 (Choice C) C 2x+31=2x-31 (Choice D) D 2x-2=2x-31 cozco was once a large city in the 1.Your friends ..For you for over an hour.(wait) 2. It .. Not worth so much money for this concert (pay). 3. I Taj Mahal last month. (visit) 4. The criminal the victim with a blunt object. (attack) 5. I think Bob .. For London this very moment.(leave) 6. The plane . Off in a few minutes. (take) 7. I . Up at 7 every morning but this morning I long. (get, sleep) Which of the following terms is used to describe the mid-to late sixteenth-century style of art that elongated human figures and elevated grace as an ideal? a. Renaissance b. Baroque c. Enlightenment d. Mannerism e. none of the other answers You are performing an experiment that requires the highest-possible magnetic energy density in the interior of a very long current-carrying solenoid. Which of the following adjustments increases the energy density?a. Increasing only the length of the solenold while keeping the turns per unit lengh flxed. b. Increasing the number of turns per unit length on the solenold. c. Increasing the cross-sectional area of the solenoid. d. None of these. e. Increasing the current in the solenoid. If f(x) is a linear function, f(3)=1 and f(2)=5, what is the y-intercept? A) -4 B) 1 C) 3 D) 11 E) 13 The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. Do not use commas in your answer. P(t)= 1. ABCD is a quadrilateral in which angle A = angle C and angle B = angle DProve that, if the opposite angles of a quadrilateral are equal, then the quadrilateral is aparallelogram. Can we say that Christopher Columbus was a bad person based on our modern morals and goals inlife? Why or why not? prove that if f is a continuous and positive function on [0,1], there exists > 0 such that f(x) > for any x E [0,1] g The old man " Santiago" is physically weak but he is strong in * HeartHandExperiment Shivering and vasoconstriction would be signaled to cause a: A. increase in pH. B. decrease in temperature. C. decrease in pH. D. increase in temperature. PLS HURRY!!! Charlie made a table to show how much time he spent on activities last week . Activity Time spent (hours ) Swimming Reading Cooking Soccer On which activities did Charlie spend more than hour? PLS HURRY Justin is married with one child. He works 40 hours each week at a rate of $16 per hour. His wife began working part timeafter their daughter was born, but still contributes about $350 to the cash inflow each month. Their monthly cash outflowis generally about $3,000. They have a balance of $2,000 in their savings account. Justin has retirement contributionstaken out of his paycheck at work. They have renter's, car and life insurance coverage.Based on this information, what part of their financial plan should Justin and his wife work on?managing incomeb. managing liquidityc. protecting assetsd. retirementa.Please select the best answer from the choices provided I need help pls now plleeeeeeeeaaassseeeee You have a lightweight spring whose unstretched length is 4.0 cm. First, you attach one end of the spring to the ceiling and hang a 1.8 g mass from it. This stretches the spring to a length of 5.1 cm . You then attach two small plastic beads to the opposite ends of the spring, lay the spring on a frictionless table, and give each plastic bead the same charge. This stretches the spring to a length of 4.3 cm .Requried:What is the magnitude of the charge (in nC) on each bead?