One boss decided to increase the salary of an employee by 5%. How much will he get if his salary was $2000?

Answers

Answer 1

Answer:

$2100 will be his new salary

Step-by-step explanation:

Well since a 5 percent raise is basically 105% of his pay, we can multiply 105% with 2000

since its a percent in decimal form its 1.05

1.05*2000=2100

$2100 is his new salary


Related Questions

Simplify: 36.6 ÷ (12)

Answers

Answer:

Hi! The answer to your question is [tex]3.05[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A house on your road has a burglar alarm. The manufacturer has claimed that there is a 98% likelihood of the alarm sounding if someone breaks into the house. In the last 2 years, however, it has gone off on 8 different nights, each time for no apparent reason. Police records show that the chances of being broken into in your neighbourhood are 3 in 10,000. Use Bayes' Theorem to calculate the probability that someone is breaking into your neighbour's house if the alarm goes off tomorrow night. [10 marks] (ii) Comment on your answer. What would the manufacturer need to do if he wanted to improve the situation?

Answers

The calculated probability will indicate the likelihood of a break-in given that the alarm has gone off. If the probability is high, it suggests a higher chance of an actual break-in. If the probability is low, it indicates that the alarm might have been triggered by some other reason.

To calculate the probability that someone is breaking into your neighbour's house if the alarm goes off tomorrow night, we can use Bayes' Theorem. Let's denote the events as follows:

A: Someone is breaking into the house

B: The alarm goes off

We need to get P(A|B), the probability of A and B.

Using Bayes' Theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) = 0.98 (the likelihood of the alarm sounding if someone breaks in)

P(A) = 3/10,000 (the chances of being broken into in your neighbourhood)

P(B) = ?

To obtain P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Since the alarm has gone off on 8 different nights for no apparent reason, we can assume P(B|A') is high, let's say 0.99.

P(A') = 1 - P(A) = 1 - 3/10,000 = 9,997/10,000

Now we can calculate P(B):

P(B) = (0.98 * 3/10,000) + (0.99 * 9,997/10,000)

Finally, we can calculate P(A|B) using Bayes' Theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

After calculating the values, we can obtain the probability that someone is breaking into your neighbor's house if the alarm goes off tomorrow night.

ii) The calculated probability will indicate the likelihood of a break-in the alarm has gone off. If the probability is high, it suggests a higher chance of an actual break-in. If the probability is low, it indicates that the alarm might have been triggered by some other reason.

To improve the situation, the manufacturer would need to reduce the false alarm rate, as the alarm going off for no apparent reason undermines its effectiveness. This can be achieved by enhancing the alarm system's technology or implementing stricter criteria for triggering the alarm. By minimising false alarms, the manufacturer can increase the reliability and credibility of the alarm system, ensuring that it only alerts for genuine break-ins.

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Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times

Answers

Answer:

Step-by-step explanation:

There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.



What is the area of the trapezoid?

Answers

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

[tex]\frac{b1+b2}{2} h[/tex]

insert 7 for b1, 13 for b2, and 10 for h

[tex]\frac{7+13}{2} 10[/tex]

100

Hope that helps

The solution is, the area of the trapezoid is: 100cm^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.

now, we know that,

the area of the trapezoid = 1/2 ( a+b)*h

so, substituting the values, we get,

the area of the trapezoid is:

= 1/2 (7+ 13) * 10

=10 * 10

=100

Hence, The solution is, the area of the trapezoid is: 100cm^2.

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Question 3 of 3
Carlita has a swimming pool in her backyard that is rectangular with a length of 28 feet and a width of 12
feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she
wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood
deck.

Answers

The perimeter of the wood deck can be expressed, based on the length and width of the swimming pool to be 80 + 8c + 8w feet.

How to find the perimeter ?

The perimeter of a rectangle is given by the formula 2x ( length + width ). With the walkway installed, the length becomes (28 + 2c) feet and the width becomes ( 12 + 2c ) feet.

Therefore, the length with the wood deck is ( 28 + 2c + 2w ) feet and the width with the deck is ( 12 + 2c + 2w ) feet.

The perimeter would therefore be:

P = 2 x [ ( 28 + 2c + 2w ) + (12 + 2c + 2w )]

P = 2 x [ 40 + 2c + 2w + 2c + 2w ]

P = 80c + 8 c + 8 w

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Please Asap, its my Final and i dont know what im doing

Answers

To find the reflection of point P = (2, 6) across the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same.

When reflecting a point across the y-axis, the x-coordinate becomes its opposite. Therefore, the reflected point R_y-axis (P) will have the coordinates (-2, 6).

So, R_y-axis (P) = (-2, 6).

Use Wilson's theorem to find the least nonnegative residue modulo m of each integer n below. (You should not use a calculator or multiply large numbers.) n = 861, m = 89 (b) n = 64!/52!, m = 13 m=

Answers

The least nonnegative residue of 64!/52! modulo 13 is 4.

Wilson's theorem states that for any prime number 'p', the factorial of (p-1) is congruent to -1 modulo p. This can be written as (p-1)! ≡ -1 (mod p).

Using Wilson's theorem, we can find the least nonnegative residue modulo 89 for the integer 861.

For n = 861 and m = 89, we need to calculate (n mod m) as follows:

861 mod 89 = 861 - (89 * (861 // 89))

= 861 - (89 * 9)

= 861 - 801

= 60

Therefore, the least nonnegative residue of 861 modulo 89 is 60.

Now let's move on to the second part.

For n = 64!/52! and m = 13, we can simplify the expression using cancelation:

64!/52! = (64 * 63 * 62 * ... * 53 * 52!)/52!

Most of the terms in the numerator and denominator cancel out, leaving:

64 * 63 * 62 * ... * 53

To find the least nonnegative residue modulo 13, we can calculate the product of the remaining terms and take the result modulo 13.

(64 * 63 * 62 * ... * 53) mod 13 ≡ (11 * 12 * 1 * 2 * ... * 3) mod 13

≡ (11 * (-1) * 1 * 2 * ... * 3) mod 13

≡ (-11 * 1 * 2 * ... * 3) mod 13

Since (-11) ≡ 2 (mod 13), we have:

(-11 * 1 * 2 * ... * 3) mod 13 ≡ (2 * 1 * 2 * ... * 3) mod 13

Calculating the product, we find:

(2 * 1 * 2 * ... * 3) mod 13 ≡ 4 (mod 13)

Therefore, the least nonnegative residue of 64!/52! modulo 13 is 4.

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Can someone help me please

Answers

Answer:

its C

Step-by-step explanation:

Answer:

c. I believe

Step-by-step explanation:

because all of the other options dont go in a consistent order/pattern. C. matches the vertical side

please consider marking me as brainliest. as I explained my answer!

Please and thanks!

Someone pls help me I’ll give out brainliest please dont answer if you don’t know.

Answers

Answer:

-12n - 6

Step-by-step explanation:

6(-2n - 1 )                           -12n - 6 You need to multiply the 6 by the numbers inside the Parenthesis.

Find the distance between 2 and -2.
A) -6
B) -4
C) 0
D) 4​

Answers

Answer:

4

Step-by-step explanation:

We can do this problem by doing the absolute value of the difference between 2 and -2.

2-(-2)=4. Absolute value of 4 is 4.

Hope this helped.

~cloud

Answer:

4

Step-by-step explanation:

A rectangular box is 6 inches wide 10 inches long and 2 inches tall how much wrapping paper is needed to cover the box exactly

Answers

Answer:

184 in²

Step-by-step explanation:

Given :

Width, w = 6 inches

Length, l = 10 inches

Height, h = 2 inches

To obtain how much wrapping paper is needed ; we take the surface area of the box

Surface area = 2(lw + lh + wh)

Surface area = 2((6*10) + (6*2) + (10*2))

Surface area = 2(60 + 12 + 20)

Surface area = 2(92)

Surface area = 184 in²

The amount of wrapping paper needed = 184 in²







Question * The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is: 4 2. This option This option 3. 5 This option This option

Answers

The degree of precision of a quadrature formula whose error term is h4/120 f(5)) is 4. Option a is the correct answer.

The degree of precision of a quadrature formula measures how many terms of the Taylor series can be reproduced by the formula. It is also known as the order of the formula or the number of nodes used in the quadrature.

The degree of precision of a quadrature formula that produces a zero error on all polynomials of degree less than or equal to n is n.

Therefore, the degree of precision for this quadrature formula is 4, indicating its accuracy in approximating integrals involving functions up to the fourth degree. The correct option is a.

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Complete question

The degree of precision of a quadrature formula whose error term is h4 120 f(5)) is:

Option a - 4

Option b - 2

Option c-  3

Option d- 5

help if link will report

Answers

Answer:

B

Step-by-step explanation:

Just put B

The mean pulse rate (in beats per minute) of adult males is equal to 69 pm. For a random sample of 152 adultes the map 68 4 bpm and the standard deviation is 105 bpmFind the value of the test statistic

Answers

The test statistic for this problem is given as follows:

t = -0.7.

How to calculate the test statistic?

We have the standard deviation for the sample, hence the t-distribution is used to calculate the test statistic.

The equation for the test statistic is given as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The parameters for this problem are given as follows:

[tex]\overline{x} = 68.4, \mu = 69, s = 10.5, n = 152[/tex]

Hence the test statistic is given as follows:

[tex]t = \frac{68.4 - 69}{\frac{10.5}{\sqrt{152}}}[/tex]

t = -0.7.

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A trapezoid was broken into a rectangle and a triangle. What is the length, b, of the base of the triangle?
O 2 cm
O 4 cm
O 6 cm
O 8 cm​

Answers

Answer:

2

Step-by-step explanation:

because if 10 is the whole line of the base at the bottom of the trapezoid

and 8 is the whole top 10-8=2

I need help with this

Answers

Answer:

4/5 to 80%

7/20 to 35%

9/4 to 225%

25/1000 to 2.5%

Step-by-step explanation:

Find the perimeter of this complex shape.

Answers

31 cm
Add are the sides

Simplify the following expression when x=14 y=10 z=6 .



3x+3y divided by z

Answers

3x = 42 3y = 30 so 42 + 30 = 72 then you do 72/6 which is 12

If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees?
A. sin thetha =0.9511;tan theta = 0.3249
B.sin thetha =0.9511 ;tan thetha =3.0780
C. sin thetha 3.2362 ; tan thetha=0.0955
D. sin thetha = 3.2362;tan thetha=10.4731

Answers

The approximate value of sin(theta) for 0 degrees < theta < 90 degrees, given cos(theta) = 0.3090, is approximately ±0.9511. The correct answer from the given options is A, which states sin(theta) = 0.9511 and tan(theta) = 0.3249.

To determine the value of sin(theta) given that cos(theta) is 0.3090, we can use the identity [tex]\(\sin^2(\theta) + \cos^2(\theta) = 1\)[/tex].

Since we know cos(theta) is 0.3090, we can substitute it into the identity:

[tex]\(\sin^2(\theta) + 0.3090^2 = 1\)[/tex]

[tex]\(\sin^2(\theta)\)[/tex] + 0.095481 = 1

[tex]\(\sin^2(\theta)\)[/tex] = 0.904519

Taking the square root of both sides, we get:

sin(theta) = √(0.904519)

sin(theta) ≈ ±0.9511

So, the approximate value of sin(theta) is approximately ±0.9511.

Now let's evaluate the given options:

A. sin(theta) = 0.9511; tan(theta) = 0.3249

B. sin(theta) = 0.9511; tan(theta) = 3.0780

C. sin(theta) = 3.2362; tan(theta) = 0.0955

D. sin(theta) = 3.2362; tan(theta) = 10.4731

We can eliminate options C and D immediately since the value of sin(theta) cannot be greater than 1.

Now, let's consider options A and B. Both options have sin(theta) = 0.9511, which matches our approximate value. However, the value of tan(theta) in option A is 0.3249, while in option B it is 3.0780.

Since we're looking for values of sin(theta) and tan(theta) that are consistent with the given cos(theta) = 0.3090, we can conclude that option A is the correct answer.

Therefore, the approximate values of sin(theta) and tan(theta) for 0 degrees < theta < 90 degrees are:

sin(theta) ≈ 0.9511

tan(theta) ≈ 0.3249

Therefore, the correct answer is A. sin(theta) = 0.9511; tan(theta) = 0.3249.

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Can you help me please thank you

Answers

Answer:

6. 4x^2 + x - 1
7. 3x^2 + 4x + 4

Explanation:

(3x^2 + x + 8) + (x^2 - 9)
4x^2 + x - 1

(5x^2 + 8x - 2) - (2x^2 - 4x + 6)
3x^2 + 4x + 4

82,78,86,82,94,84,90.What is the mode

Answers

the mode will be 82!! hope this helps

Answer:

82 ☺️

Step-by-step explanation:

What is the value, to the nearest tenth, of 15 x 3 - 12 x 2 when x = 2.5​

Answers

Answer:

159.4

Step-by-step explanation:

I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out

15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375

rounded is 159.4

10 POINTS !! :( ANSWER BOTH PLS !! DUE BEFORE 11:59 PM

Answers

Answer:

Easy,

1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.

2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.

Step-by-step explanation:

NEED HELP FAST
Find the arc length of the partial circle

Answers

Answer:

The arc length is about 12.57.

Step-by-step explanation:

Formula for arc length: 2πr( degrees/360)

For ours lets do 2π8(90/360)

Simplify the 90 and 360: 16π(1/4)

This gives you: 16π/4

Divide by 4

You get: 4π

4π ≅ 12.57

A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

15.98cm

Step-by-step explanation:

Given data

Volume= 602.88cm^3

Radius= 6cm

The formula for the volume of a cone is

V= 1/3 πr^2h

substitute

602.88= 1/3*3.142*6^2*h

602.88=1/3*3.142*36*h

602.88=37.704*h

h= 602.88/37.704

h= 15.98cm

Hence the height is 15.98cm

isabella bought packs of stickers to give to her friends. each pack costs $3. she spent a total of $18 on stickers. how many packs did she buy? write an equation to represent this situation.

Answers

To represent this situation, we can use the following equation:x = the number of packs of stickers Isabella bought x packs of stickers, and each pack costs $3.

So the total cost of the stickers is given by the following equation:3x = total cost of stickers Since she spent a total of $18 on stickers, we can set the equation equal to 18 to get:3x = 183x/3 = 18/3x = 6Therefore, Isabella bought 6 packs of stickers to give to her friends.

To solve this problem, let's assume that Isabella bought "x" packs of stickers.

According to the given information, each pack costs $3. So, the total amount Isabella spent on stickers is $18.

We can represent this situation with the following equation:

3x = 18

Here, "3x" represents the cost of "x" packs of stickers, and it is equal to $18.

To find the number of packs Isabella bought, we can solve the equation for "x".

Dividing both sides of the equation by 3, we get:

x = 18 / 3

x = 6

Therefore, Isabella bought 6 packs of stickers.

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The given information is that Isabella bought packs of stickers, each pack costs $3. She spent a total of $18 on stickers. It is asked to find number of packs did she buy.

Therefore, the answer for this question is that Isabella bought 6 packs of stickers.

Let the number of packs that Isabella bought be p. Each pack costs $3, so she spent a total of $18 on stickers. Using these terms, we can set up the equation:3p = 18To solve for p, we divide both sides of the equation by 3:p = 6. Therefore, the answer for this question is that Isabella bought 6 packs of stickers.

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a student performed the following steps to find the solution to the equation x^2 + 14x + 45=0
where did the student go wrong?

Step 1. Factor the polynomial into (x + 5) and (x + 9)
Step 2. x + 5 = 0 or x - 9 = 0
Step 3. x = -5 or x = 9

a. in Step 2
b. in Step 3
c. The student did not make any mistakes, the solution is correct
d. in Step 1

Answers

While factoring the given equation, the mistake occurred in Step 1 (option d.)

Upon reviewing the steps, we can see that the student made a mistake in Step 1. The factorization of the polynomial should be (x + 5)(x + 9), not (x + 5)(x - 9).

The correct factorization should be:

[tex]x^2 + 14x + 45 = (x + 5)(x + 9)[/tex]

The mistake occurred when the student incorrectly wrote (x - 9) instead of (x + 9) as one of the factors.

As a result, the subsequent steps are also affected. In Step 2, the student incorrectly set x - 9 = 0 instead of x + 9 = 0. This leads to an incorrect value in Step 3, where the student states that x = 9 instead of the correct value x = -9.

Therefore, the student made a mistake in Step 1, which caused subsequent errors in Step 2 and Step 3. The correct answer is d. The mistake occurred in Step 1.

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please help
In the parallelogram below,
x = [? ]
3х+7
5x-17

Answers

Answer:

x = 12

Step-by-step explanation:

3х+7 = 5x-17

-2x = -24

nobody is helping me on this pls answer and ty

Answers

Answer:

38.7

Step-by-step explanation:

[tex]\frac{sinA}{A}=\frac{sinB}{B}=\frac{sinC}{C}[/tex]

A, B and C are the sides of the triangle and sinA, sinB and sinC are the opposing angles

[tex]\frac{sin95}{43}=\frac{A}{27}[/tex]

[tex]A = sin^{-1} (\frac{27*sin95}{43} )=38.72018809[/tex]

A lottery consists of selecting 7 numbers out of 35 numbers. You win $10 if exactly three of your 7 numbers are matched to the winning numbers chosen. What is the probability of winning the $10?

Answers

the number of favorable outcomes is 35 * 20475 = 716,625.

Probability = 716,625 / (35! / (7!(35 - 7)!)).

To determine the probability of winning the $10 prize by matching exactly three numbers, we need to calculate the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes can be calculated using combinations. Since we are selecting 7 numbers out of 35, the total number of possible outcomes is given by the combination formula:

C(n, r) = n! / (r!(n - r)!)

In this case, n = 35 (total numbers) and r = 7 (numbers selected). Substituting these values into the formula:

C(35, 7) = 35! / (7!(35 - 7)!)
= 35! / (7!28!)

The number of favorable outcomes is determined by choosing 3 winning numbers from the 7 numbers selected and 4 non-winning numbers from the remaining 28 numbers. The number of favorable outcomes can be calculated using combinations as well:

C(7, 3) * C(28, 4)

Substituting the values into the formula:

C(7, 3) * C(28, 4) = (7! / (3!(7 - 3)!)) * (28! / (4!(28 - 4)!))

Calculating these values:

C(7, 3) = 7! / (3!(7 - 3)!)
= 7! / (3!4!)
= (7 * 6 * 5) / (3 * 2 * 1)
= 35

C(28, 4) = 28! / (4!(28 - 4)!)
= 28! / (4!24!)
= (28 * 27 * 26 * 25) / (4 * 3 * 2 * 1)
= 20475

Therefore, the number of favorable outcomes is 35 * 20475 = 716,625.

Now, we can calculate the probability of winning the $10 prize by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes
= 716,625 / C(35, 7)

Calculating this value:

Probability = 716,625 / (35! / (7!(35 - 7)!))

It is important to note that calculating the factorial of 35 might result in very large numbers, which may be computationally intensive. Alternatively, you can use numerical methods or estimation techniques to approximate the probability.

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Using Microsoft Excel, create an investment cash-flow diagram that will have a present worth of zero using MARR = 11%. The study period needs to be exactly 5 years and each year should have at least one unique cash flow that is different from the cash flows over the other years. Your answer should contain a table showing the cash flows for each year and a graphical representation of the cash flows (cash-flow diagram). what position does the british monarch play in canada's government? Which expression is equivalent to the expression shown below? --8x 2(5 + 4x) 1.) Suppose it always takes Florida 10 labor hours to make each car and 1 labor hour to make each crate of oranges, while it always requires Michigan 2 labor hours to make each car and 8 labor hours to make each crate of oranges. Further suppose each nation has 80 labor hours available. Draw the production possibilities frontier for each state.2.) What is the opportunity cost of one car for Florida and for Michigan? What about for one crate of oranges?3.) Suppose each nation specializes according to comparative advantage and then trades with the other nation. On your graphs, label the bundle each nation produces when specializing as well as one possible previously infeasible bundle each is able to consume assuming the two nations trade with each other.4.) Write a paragraph or two in order to summarize your results. Write a speech on the topic of an unjust situation you are passionate about. This may be an issue on the community level, or a current national issue.Remember to use the following elements:a claimsupporting facts, statistics, and reasonspossible objections to your claim (counterclaims)a summary and call to actionthree transitional words or phrases and one instance of effective keyword repetitionproper documentation of sources using MLA citation styleYour speech should be a minimum of 200 words. 80 points Find the unit rate for each, then compare. Which is faster?8 laps in 70 seconds12 laps in 98 seconds. What are the two most recent fossils that have been found in New york? Find the lateral area of this squarebased pyramid.10 in5 in[ ? ] in If the ratio of boys to girls is 1:4 and there are 20 girls in your class, how many boys are there? Word meaning of canoe 1/(x+6)+(+1)/x=13/(x+6) For the Earth, most of the information we've learned about its interior, including the mantle and core, comes from drilling down directly into it. True False Select the correct answer.Which instruction would the operator give someone who calls the emergency number for medical aid?Serrez le poing, s'il vous plat.B.Restez calme, s'il vous plat.C. Respirez profondment, s'il vous plat.D. tirez la jambe, s'il vous plait. What is one symbol the cartoonist uses to convey his main idea? Complete the following mini-dialogues by selecting the missing words List three reasons Dr. King gives in the letter as to why the civil rights movement cannot wait URGENT NEED AT 10:10 PLZ HELP ME PLZ ITS A CROSSWORD PUZZLE AND ITS LATE WORK I WILL GIVE A LOT OF BRAINILY AND BRANILEST ANSWER PLZ PLZ PLZ !!!!!!!!!!!!!!!! Can throat cancer be inherited? Which poems Uses both lambic pentameter and blank verse .16 with the 6 repeating to a fraction