Consider the relationship between the words pine and tree.

Which answer choice contains a pair of words with the same relationship?


book: title

hook: instrument

badger: animal

head: scarf

Answers

Answer 1

Answer:

A Book:Title

Step-by-step explanation:

Answer 2

Answer:

Badger: animal

Step-by-step explanation:

i took the test and its right


Related Questions

321.5 miles in 5 hours

Answers

Answer:

i think its 64.3

HELP ME OOOOOOOOOOOOH

HELP ME OOOOOOOOOOOOH

Answers

Answer:

XAXA

Step-by-step explanation:

wandering and lands do not rhyme, so tha pattern is XA

gone and hands do not rhyme, so pattern is XA

wand and gone have similar sounds so these rhyme

land and hands rhyme

29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.

For instance, the diagram shows the pattern where n = 7.

If the total length of visible ares is 60 units, what is n?

29.For n 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each

Answers

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Using a calculator, work out
(8.35 × 10−¹²) ÷ (3.22 × 10−5)
Give your answer in standard form to 3 significant figures.

Answers

The simplified form of the expression (8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵) is 2.59 × 10⁻⁷.

What is the simplified form of the expression?

Given the expression in the question;

(8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵)

To evaluate the expression (8.35 × 10⁻¹²) ÷ (3.22 × 10⁻⁵), we can use the following steps:

Divide the two numbers: (8.35 ÷ 3.22) and subtract the exponents of 10: (10⁻¹² ÷ 10⁻⁵).Simplify the resulting quotient and exponent separately.Rewrite the answer in standard form to 3 significant figures.

So, starting with step 1:

(8.35 ÷ 3.22) = 2.592357

Using exponent rule

(10⁻¹² ÷ 10⁻⁵) = 10⁻¹² ⁻ ⁻⁵ = 10⁻¹² ⁺ ⁵ = 10⁻⁷

Moving on to step 2:

2.592357 × 10⁻⁷ = 2.592357 × 0.0000001 = 0.0000002592357

Finally, in step 3, we can rewrite this answer in standard form to 3 significant figures:

0.0000002592357 = 2.59 × 10⁻⁷

Therefore, the simplified form is 2.59 × 10⁻⁷.

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Caitlyn and Steve are planning their wedding reception and must decide between two catering halls. The first site, A Wedding Space, rents for $900 for one day and charges $50 per person for dinner. The second venue, A Wedding Place, costs $450 to rent for one day and charges $75 per person for the same dinner. Solve the equation 900+50x=450+75x to determine how many guests they can invite so that the cost they pay will be the same at both wedding catering halls.

Answers

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

900+50x=450+75x

To solve;

900 - 450 = -50x +75x

450 = 25x

x = 450 /25

x = 18

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

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the game cost 85dollars but it's 20% off today how much does the game cost

Answers

100% of the cost is $85. To find how much 20% represent, we can use the next proportion:

\(\frac{100\text{ \%}}{20\text{ \%}}=\frac{85\text{ \$}}{x\text{ \$}}\)

Solving for x,

\(\begin{gathered} 100\cdot x=85\cdot20 \\ x=\frac{1700}{100} \\ x=17\text{ \$} \end{gathered}\)

Then, a discount of $17 must be applied. The cost after applying the discount is $85 - $17 = $68

which is rights answer?

Answers:
A) 242.88 minutes
B) 4.08 minutes
C) 3.48 minutes
D) 3.97 minutes ​

which is rights answer?Answers:A) 242.88 minutes B) 4.08 minutes C) 3.48 minutes D) 3.97 minutes

Answers

The population of the average length in 2013 is (b) 4.08 minutes

How to predict the average length in 2013

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

The table of values

Using the least squares, we have the following summary

Sum of X = 9Sum of Y = 16.33Mean X = 1.5Mean Y = 2.7217Sum of squares (SSX) = 17.5Sum of products (SP) = 2.135

The regression equation is

y = mx + b

Where

m =  SP/SSX =  2.14/17.5 = 0.122

b = MY - bMX = 2.72 - (0.12*1.5) = 2.53867

So, we have

y = 0.12x + 2.54

In 2013, we have

y = 0.12 * 13 + 2.54

y = 4.1

Hence, the prediction is (b) 4.08 minutes

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The annual update of U.S. Overseas Loans and Grants, informally known as the “Greenbook,” contains data on U.S. government monetary economic and military assistance loans. The following table shows military assistance loans, in thousands of dollars, to a sample of 10 countries, as reported by the U.S. Agency for International Development.

102, 69, 280, 180, 33, 89, 1643, 205, 177, 695

The sample mean is
(Round to one decimal place)
The sample standard deviation is
(Round to one decimal place)
The sample size is
The degree of freedom for the Studentized version of the sample mean is
The point estimate for the mean of ALL US Overseas Loans and Grants is
The t-value for a 95% confidence interval is t =
The Margin of error for a 95% confidence interval for this sample is
The 95 % confidence interval estimate of the mean of ALL US Overseas Loans and Grants is
< µ <

(Round to one decimal place)

The sample size is needed in order to obtain a margin of error of no more than 100 is
(Must be a whole number)

Answers

To solve this question, we find the sample mean, sample standard deviation, sample size, the number of degrees of freedom, the confidence interval and the required sample size. For each step, the procedures are explained and we find what is asked.

Doing this, we find that the sample mean is 347.3, the sample standard deviation is 467.4, the sample size is 10, the number of degrees of freedom is 9, the t-value for a 95% confidence interval is t = 2.2226, the margin of error for a 95% confidence interval for this sample is 328.5, the 95% CI is $18.8 < µ < $675.8 and the sample size needed in order to obtain a margin of error of no more than 100 is 94.

--------------------------------------

The sample mean is

Sum of all values divided by the number of values, thus:

\(\overline{x} = \frac{102 + 69 + 280 + 180 + 33 + 89 + 1643 + 205 + 177 + 695}{10} = 347.3\)

The sample mean is 347.3.

--------------------------------------

The sample standard deviation is

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

\(s = \sqrt{\frac{(102-347.3)^2 + (69-347.3)^2 + (280-347.3)^2 + (180-347.3)^2 + (33-347.3)^2 + (89-347.3)^2 + \cdots}{9}} = 467.4\)

The sample standard deviation is 467.4.

--------------------------------------

The sample size is

10 observations, thus the sample size is 10.

--------------------------------------

The degree of freedom for the Studentized version of the sample mean is

One less than the sample size, so 10 - 1 = 9.

The number of degrees of freedom is 9.

--------------------------------------

The point estimate for the mean of ALL US Overseas Loans and Grants is

The sample mean, which is 347.3.

The point estimate is 347.3.

--------------------------------------

The t-value for a 95% confidence interval is t

The t-value is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.2226.

The t-value for a 95% confidence interval is t = 2.2226.

--------------------------------------

The Margin of error for a 95% confidence interval for this sample is

\(M = t\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

For this question, \(s = 467.4, n = 10\), and thus:

\(M = 2.2226\frac{467.4}{\sqrt{10}}\)

\(M = 328.5\)

The margin of error for a 95% confidence interval for this sample is 328.5.

--------------------------------------

The 95 % confidence interval estimate of the mean of ALL US Overseas Loans and Grants is

The lower end of the interval is the sample mean subtracted by M. So it is 347.3 - 328.5 = 18.8

The upper end of the interval is the sample mean added to M. So it is 347.3 + 328.5 = 675.8

The 95 % confidence interval estimate of the mean of ALL US Overseas Loans and Grants is:

$18.8 < µ < $675.8.

--------------------------------------

The sample size is needed in order to obtain a margin of error of no more than 100 is

Here, we have to consider the sample standard deviation as the population standard deviation, and use the z-distribution. So

We have to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a p-value of , so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

In this question, \(\sigma = 467.4\)

We have to find n for which M = 100. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(100 = 1.96\frac{467.4}{\sqrt{n}}\)

\(100\sqrt{n} = 1.96*467.4\)

Dividing both sides by 100:

\(\sqrt{n} = 1.96*4.674\)

\((\sqrt{n})^2 = (1.96*4.674)^2\)

\(n = 83.92\)

Rounding up:

The sample size needed in order to obtain a margin of error of no more than 100 is 94.

For a problem that you build the confidence interval after finding the sample mean and the sample standard deviation, you can check https://brainly.com/question/24232455.

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1 2 3 HELPPPPPPPPPP DUE IN 1 HOUR

1 2 3 HELPPPPPPPPPP DUE IN 1 HOUR

Answers

Answer:

<(3) >(2)

Step-by-step explanation:

Genus < Phylum

Class < Family

Kingdom < Species

Order > Classes

Phylum > Family

im not 100%

but hope this helps pls mark as brainliest.

In which quadrant does the point (-21 , 13) lie?

Answers

The fourth quadrant

4. 1




3. 2
Answer is quadrant II

explanation

Quadrants start at the upper right and go counterclockwise as shown on the attachment.

The -21 x is a negative so it goes left from zero (0,0) and positive 13 y value goes up.
In which quadrant does the point (-21 , 13) lie?

Show that the angle bisector of an equilateral triangle is perpendicular to the base​

Answers

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

How to prove that the angle bisector is perpendicular to base

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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The subjects of an experiment should be selected at random so that they
represent the population from which they come.
O
A. True
O
B. False

Answers

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

How many 10 oz servings are in a 5-quart pitcher of lemonade?

There are ? Servings

Answers

Answer:

There are 16 servings

Step-by-step explanation:

First, find how many oz are in 5 quarts.

Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?

5 x 32 = 160 ounces

Next, divide 160 ounces by 10 servings

160 / 10 = 16 servings

So there are 16 servings in a 5 quart pitcher.

Hope this helps ;)

Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule: ​

Answers

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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I need help pls right now

I need help pls right now

Answers

Answer: the answer is 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.

Step-by-step explanation:

If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.​

Answers

It’s 1/7 because I had the same thing

Adding Rational Expressions

Simplify the following sum, and show all work please.

Adding Rational ExpressionsSimplify the following sum, and show all work please.

Answers

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9

Answers

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Please see screenshot.

Please see screenshot.

Answers

Answer:

See below

Step-by-step explanation:

Please see screenshot.

$4 MATHS BUSINESS MATHS EXERCISE A radio whose cash price is Shs 180,000 can also be bought on hire purchase paying a deposit of 35% of the cash value followed by 6 equal monthly instalments of Shs 24,500. Find the () hire purchase price of the radio () extra amount paid over the cash price using hire purchase​

Answers

The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .

What is percentage?

percentage can be defined as the product of ratio of given value , total value and hundred.

Given ,

A radio whose cash price is 180,000 can also be bought on hire purchase paying a deposit of 35% of the cash value followed by 6 equal monthly instalments of  24,500

The 35% of 180,000 = 35/100  *  180000

= 63000

So, the amount to paid over 6 months of 24500

amount could be = 6 * 24500

= 147000

So, the total amount paid  = 63000 + 147000

= 2, 10, 000

The total amount paid is 210000 where as the the actual amount be 180000  which is paid more that is 30000

Hence, The extra amount paid is 30000 where total amount paid is 210000 where as the the actual amount be 180000 .

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Write the complex number in polar form:

Write the complex number in polar form:

Answers

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

Additional comments

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

__

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

Round 6.713 to the nearest whole number.
HURRY
PLS-

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

it would be 10 but its going by decennials

Lori entered a 100 km race. A Kilometer is about of a mile. About how many miles ling is the race?
miles

Answers

Answer:

About 62.1371

Step-by-step explanation:

A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?

Answers

Answer:

3

Step-by-step explanation:

What is the formula forfinding the area of a circle using its radius or diameter.

Answers

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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PLEASE HELP QUICK!!!!What is the greatest common factor of 40, 10, and 20?

Answers

Answer:

40? it could go on for infinite mate

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 goes into 40 and 20 as the greatest common factor.

Hope this helps and pls do mark me brainliest if you can:)

Someone help, I just need the answer not any explanation

Someone help, I just need the answer not any explanation

Answers

Answer:X equals 10 yw have a nice day

The short run is defined as a period of time where

Select one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.

Answers

Answer:

q

Step-by-step explanation:

a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q

A catapult hurls a cantaloupe from a heightof 12 feet at an initial velocity of 47 feetper second.n(t) = -16 t2 + 47t +12

Answers

To find the equation we use:

\(h(t)=-\frac{1}{2}gt^2+v_0t+h_0\)

Where h is the gravity, v0 is the intial velocity and h0 is the initial height.

Then, we replace the values,

\(\begin{gathered} g=32\frac{ft}{s^2};v_0=47\frac{ft}{s};h_0=12ft \\ h(t)=-\frac{1}{2}32t^2+47t+12 \\ h(t)=-16t^2+47t+12 \end{gathered}\)

What is the value of 15 + x2 when the value of x is 3

Answers

Answer:

21

Step-by-step explanation:

15 + (3)2

15 + 6

21

Answer:

24

Step-by-step explanation:

15+x2

= 15 + (3x3)

= 15 + 9

= 24

Other Questions
Solve this equation (Shown in the screenshot below) Calculate the tax for each of the taxable incomes of the head of household taxpayer 1 Rewrite each of the words or phrases in bold using used to.1 Janice loved mystery stories when she was a teenager._________2 I went looking for aliens whenever I could!______3 She never believed in ghosts - until that terrible night!________4 As a young boy, Mark wasn't scared of spiders._________5 Did you often have nightmares when you were younger?________Z Rewrite each of the words or phrases in bold using would.1 My mum and dad went to the cinema every Friday night before they had kids._______2 It took people hours to do simple research before the internet was created._______3 In the 1970s, the crew often saw Bob Loft on their flights.________4 Did you use to do experiments in the science lab when you were at school?_______5 She never slept without the light on.______ 3 waves are shown with a line through their center. The bottom of the first wave is labeled C. A bracket labeled D connects the bottom of the second and third waves. A line from the center to the top of the first wave is labeled A. The line leading to the top is labeled B.Label the parts of this wave. question what causes duplex dna with a certain (a t):(g c) ratio to melt at a higher temperature than comparable length duplex dna with a greater (a t):(g c) ratio? Give an example of something an elderly person should be able to learn or remember as well as a young adult and something an elderly person should not be able to learn or remember as well as a young adult What effect did slave auctions have on slave families? EXPLAIN YOUR ANSWER!!! QUICK I NEED HELP 15 POINTS!! dna probes can be used to detect whether or not a specific dna sequence exists in a dna sample. determine which probe can be used to detect each of the target dna sequences shown. one of the probes cannot be used to detect any of the target dna sequences. a nurse is caring for four patients with chronic kidney disease. which patient would the nurse assess first upon initial rounding? identify the eating disorder that involves extreme weight loss The box-and-whisker plot below represents some data set. What percentage of the data values are greater than or equal to 92? Can someone help me with this. Will Mark brainliest. The need for a fire protection program need not be emphasized further as it has shown many industries have experienced huge losses due to fire. Fire, if left uncontrolled may give rise to an emergency situation which calls for immediate response firstly to save lives and secondly to prevent damages to property or the environment.Required: Choose any one local company in the Sultanate and comment on their provision of fire safety measures to its staff, organization and community. What is the mass of a rock lifted 2 meters off the ground that has 196 J of potential energy? Mr. Parokyano is a citizen of the Philippines had a gross income from the practice of his profession of P400,000. His expenses in the practice was P150,000. He had 7 legitimate children, the eldest whom is 10 years old. If there is was a withholding tax of P30,000 on his gross income:How much is the maximum additional exemption of Mr. Parokyano? Show your solution.How much is the income tax due/refundable to Mr. Paroyano? Show your solution. Suppose Acap Corporation will pay a dividend of $2.77 per share ot the end of this year, and $2.99 per share next year, You expect Acap's stork prise fo be $50.34 in two years. If Acap's equity cost of capital is 10.2% . What price would you be willing to pay for as share of Acap stock, today, if you plannod to hold the stock for two years? b. Suppose instead you plan to hold the stock for one year, What price would you expect to be able to sell a share of Acap stock for in one year? c. Given your answer in part (b), what price would you be wiling to pay for a share of Acap stock todary, if you planned to hold the slock for one yoar? How does this compare to yout answer in part (a)? Note: It is best not to round intermodiale calculations - make sure to carry at leost four decimal places in interneciate calculations. assume z is a standard normal random variable. what is the value of z if the area between -z and z is 0..754 People today are not as interested in collecting postcards as they used to be. Support this conclusion with evidence from the article. 7) A wheel rotates through an angle of 320 as it slows down from 78.0 rpm to 22.8 rpm. What is the magnitude of the average angular acceleration of the wheel? Ans: 5.48 rad/s2 Here are the coordinates of rectangle PLAY: (-11,20),(-11,-3),(-1,20),(-1,-3). Find the perimeter and area of this rectangle. See if you can figure out its side lengths without plotting the points.