99 POINTS!!!: if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then
what is the central angle,
what is the measure of the arc that 2 pieces together would intercept,
and the equation that represents
and circumference?
PLEASE HURRY!!!

Answers

Answer 1

part 1)
coordinates of the center (8,5)
radius=6 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²

b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in
if 360° (full circle) has a length of---------> 37.68 in
90° (2 pieces together)---------> x
x=90*37.68/360-----> x=9.42 in

the measure of the arc that 2 pieces together would intercept is 9.42 in

c) The central angle of one slice is 45 degrees

Related Questions

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution

Answers

The given terms can be arranged in 3! = 6 ways. The other 5 are ...
13 × 21 × 7
7 × 13 × 21
7 × 21 × 13
21 × 7 × 13
21 × 13 × 7
Any of these arrangements will give the same answer, 1,911.

Final answer:

The commutative property in mathematics says that the order in which numbers are multiplied doesn't change the product. For example, using the commutative property, the product of 13 x 7 x 21 will be the same as 7 x 21 x 13, which is 1911.

Explanation:

The commutative property is a fundamental concept in Mathematics which states that for multiplication and addition, numbers can be moved around (or commuted) without changing the result. For example, if you have the multiplication problem 13 * 7 * 21, thanks to the commutative property, you can rearrange this problem to: 7 * 21 * 13 or 21 * 13 * 7 or any other arrangement of these three numbers, and the result will remain the same.

Let’s see this in action:
Original arrangement: 13 * 7 * 21 = 1911
Changed arrangement: 7 * 21 * 13 = 1911
As you can see, regardless of how the terms were rearranged, the answer remained the same, thus demonstrating the commutative property.

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Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Answers

Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is c. -13, 21, 55, 89

Solve for y in terms of x.

2/3y - 4 = x

Please help . Time is critical for me in school rn

Answers

Answer:

[tex]y=\frac{3}{2}(x+4)[/tex]

Step-by-step explanation:

We are given

[tex]\frac{2}{3}y-4=x[/tex]

Since, we have to solve for y

so, we will isolate y on anyone side

Firstly, we add both sides by 4

[tex]\frac{2}{3}y-4+4=x+4[/tex]

[tex]\frac{2}{3}y=x+4[/tex]

Multiply both sides by 3

[tex]3\times \frac{2}{3}y=3\times(x+4)[/tex]

[tex]2y=3\times(x+4)[/tex]

now, we can divide both sides by 2

and we get

[tex]y=\frac{3}{2}(x+4)[/tex]

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. Let P(t), left parenthesis, t, right parenthesis denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula

Answers

Final answer:

The function's formula that represents the number of pages Naoya has left to read at time t would be P(t) = 570 - 55t.

Explanation:

From the information given we know that Naoya reads at a rate of 55 pages per hour. After 4 hours of reading, he still has 350 pages left to read. This means that before he started reading, he had (55 pages/hour * 4 hours + 350 pages) = 570 pages in total. Since he reads at constant rate, the function that describes the remaining pages to read would be P(t) = 570 - 55t, where t represents the time in hours and P(t) is the number of pages left to read.

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hey can you please help me posted picture of question

Answers

Each leaf on the tree diagram represents a possible combination. So we are to find the total number of combinations for the given scenario.

There are 5 ways to select the pant, 7 ways to select a shirt and 3 ways to select the shoes.

Total number of combinations will be the product of all these ways the dress items can be selected.

So, number of combination of outfits = 5 x 7 x 3 = 105

Therefore, option B gives the correct answer

what does 1/2x+30=55 equals?

Answers

Subtract 30 from both sides.

[tex] \frac{1}{2}x = 25 [/tex]

Multiply both sides by 2 to get x by itself.

[tex]x = 50[/tex]

The answer is x = 50.

1/2x+30=55
-30 -30
1/2x=25
*2 *2
x=50.

If the diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters, what is the approximate volume of the roll of pennies? Use 3.14 for π and round your answer to the nearest tenth.

Answers

we know that
[volume of the roll of pennies]=pi*r²*h
r=19.05/2-----> 9.525 mm
h=1.52 mm
[volume of the roll of pennies]=pi*(9.525)²*1.52---> 433.02 mm³----> 433 mm³

the answer is
433 mm³

Answer:

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Step-by-step explanation:

Given : diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters.

To find : volume of the roll of pennies.

Solution : We have given that

Diameter of a penny = 19.05 millimeters.

Width of each penny = 1.52 millimeters.

Volume of cylindrical roll of penny = pi * r² * h

Where, r = radius , h =height

Radius = [tex]\frac{Diameter}{2}[/tex]

Radius= [tex]\frac{19.05}{2}[/tex].

Radius = 9.525 mm

Plugging the values of r , h and pi = 1.14.

Volume of cylindrical roll of penny = pi * r² * h

Volume of cylindrical roll of penny =3.14 * (9.525)² * 1.52

Volume of cylindrical roll of penny = 433.02 mm³

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Therefore, Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Answers

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x the first number and and the other number 46-x

2. Then, the product of both numbers is:

y=x(46-x)

3. When you apply the distributive property, you obtain:

y=46x-x^2

4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

5. Then, you have:

h=-b/2a
h=-46/2(-1)
h=23 (x coordinate)

6.Then:

y=46x-x^2
y=46(23)-(23)^2
y=529

Therefore the answer is: 23 and 529.

The diameter of a small gear is 16cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger g!ear

Answers

The problem statement tells us ...
16 cm = 2.5 cm + (1/4)*(large gear diameter)

We can subtract 2.5 cm and multiply by 4 to find the large gear diameter.
13.5 cm = (1/4)*(large gear diameter)
54 cm = (large gear diameter)

The diameter of the larger gear is 54 cm.

What is the quotient? x-1/7x2-3x-9

Answers

The quotient of the expression (x - 1)/(7x² - 3x - 9) cannot be determined

How to determine the quotient of the expression

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

(x - 1)/(7x² - 3x - 9)

From the above, we have

degree of the numerator = 1

degree of the denominator = 2

The degree of the numerator is less than the degree of the denominator

This implies that the quotient of the expression cannot be determined

Two samples are randomly selected from each population. if a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Answers

You can interpret that the probability is statistically significant enough to reject the null hypothesis. (I don't know if I should elaborate more, so I'll just keep it short)

Explain how you can tell when a formula represents a length an area or a volume

Answers

You can tell when a formula represents each of these by the number of dimensions that are multiplied in the calculation.

Ex:

d = 2r (this would only involve multiplying by one dimension, therefore it is a length)

A = bh (this involves multiplying 2 dimensions, giving a measurement of area)

V = lwh (this involves multiplying 3 dimensions, giving a measurement of volume)

Final answer:

To determine if a formula represents a length, area, or volume, consider the units used in the formula.

Explanation:

When determining if a formula represents a length, area, or volume, you need to consider the units used in the formula. Length is typically measured in units such as meters or feet. Area is measured in square units, such as square meters or square feet. Volume is measured in cubic units, such as cubic meters or cubic feet.

For example, suppose you have a formula that involves only one variable and it includes units such as meters. This formula would most likely represent a length. If the formula involves two variables and includes units like square meters, then it represents an area. And if the formula involves three variables and includes units like cubic meters, then it represents a volume.

It's important to pay attention to the units to determine whether a formula represents a length, area, or volume.

can someone help me!!!

Answers

let s the side of fabric square and A area of fabric square:

s=√A

s=√2940

s1= 54.22

s 2= √62

s2= 7.9

e is correct

dose any one know these 4 answer i am raly struggling and i need the help asap

Answers

I can help.

Remember that the equation for circumference is 2(pi)(r). For the first question, we are given the circumference, 235.5 cm. So, we can reverse this equation to find the radius, so 235.5=2(pi)(r). We divide 235.5 by 2 to get 117.25, and then divide it by pi to get approximately 37.5 cm. Now we multiply by 2 to find the diameter since d=2r, and the diameter is about 75 cm, or D.

We can do the same thing for the second question, so 141.3=2(pi)(r), or 70.65=(pi)(r). Dividing this by pi results in r=22.5 ft, D. again.

Now we can do the same for the third question, and make the equation 47.1=2(pi)(r), or 23.55=(pi)(r). Now divide by pi and get r=7.5. Multiplying this by 2 for diameter yields 15 in, or B.

For the last problem, you do 157=2(pi)(r), or 78.5=(pi)(r). Dividing 78.5/pi=25. So, r=25 m, or A.

Hope this helps!

what is the point slope form of a line with a slope 4/5 that contains the point (-2,1)

Answers

[tex]Use:\ y-y_1=m(x-x_1)[/tex]

[tex]We\ have:\\\\m=\dfrac{4}{5}\\\\(-2;\ 1)\to x_1=-2\ and\ y_1=1[/tex]

[tex]Substitute:\\\\y-1=\dfrac{4}{5}(x-(-2))\\\\\boxed{B.\ y-1=\dfrac{4}{5}(x+2)}[/tex]

What is the complete factorization of r2 - 6r - 9s2 + 9? A) (r - 3 + 3s)(r - 3 - 3s) B) (r + 3 + 3s)(r - 3 - 3s) C) (r - 3 + 3s)(r - 3 + 3s)

Answers

[tex]r^2-6r-9s^2+9=r^2-6r+9-9s^2=r^2-2\cdot r\cdot3+3^2-9s^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(r-3)^2-9s^2=(r-3)^2-(3s)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(r-3-3s)(r-3+3s)\to A[/tex]

Final answer:

We have factorized the expression 'r2 - 6r - 9s2 + 9' into (r - 3)^2 - (3s)^2 and then used the difference of squares formula to find the factorization as (r - 3 + 3s)(r - 3 - 3s). So the correct answer is option A)

Explanation:

The question asked for the complete factorization of the expression r2 - 6r - 9s2 + 9. To factorize this, we can rewrite it into the formula form of a perfect square, which is a^2 - 2ab + b^2 = (a - b)^2.

Our expression fits this form when a = r and b = 3s. Following this, we can rewrite the expression as (r - 3)^2 - (3s)^2 = (r - 3 + 3s)(r - 3 - 3s). Therefore, the correct answer is option A) (r - 3 + 3s)(r - 3 - 3s)

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how will the volume of the pyramid change if each side is multiplied by a factor of 1/2

Answers

we know that
[volume of a original cone]=(1/3)*pi*r²*h

[volume of a dilated cone]=(1/3)*pi*(r/2)²*(h/2)--->(1/8)* [(1/3)*pi*r²*h]
so
[volume of a dilated cone]=(1/8)* [volume of a original cone]

the answer is
the volume of the cone will be reduced one eighth

The trash can is in the shape of a cylinder that has a radius of 2 ft and a height of 5 feet what is the volume of the trash can round to the nearest tenth

Answers

The equation for the volume of a cylinder is r^2 * h * π = V

(2)^2 * 5 * 3.14 = V
4 * 5 * 3.14 = V
20 * 3.14 = V

V = 62.8

Volume is a three-dimensional scalar quantity. The volume of the trash can is 62.8318 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the trash can = π×r²h = π×(2ft)²×(5ft) = 62.8318 ft³

Hence, the volume of the trash can is 62.8318 ft³.

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hey can you please help me posted picture of question

Answers

The correct answer is option D

The solution is shown below:

[tex] x^{2} +16 \\ \\ = x^{2} +(4)^{2} \\ \\ = x^{2} -(-1)(4)^{2} \\ \\ = x^{2} -i^{2} (4)^{2} \\ \\ = x^{2} -(4i)^{2} \\ \\ =(x+4i)(x-4i) [/tex]

hey can you please help me posted picture of question

Answers

For this case we have the following function:
f (c) = (9/5) c + 32
Substituting the value of c = 20 we have:
f (20) = (9/5) (20) + 32
Rewriting we have:
f (20) = (9) (4) + 32
f (20) = 36 + 32
f (20) = 68
Answer:
The conversion for this case is given by:
f (20) = 68
option A

2) Use spherical coordinates to find the integral of f(x,y,z) = z over x^2 + y^2 + z^2 < 4 and x,y,z < 0

Answers

1. Denote by [tex]\mathcal D[/tex] the region bounded by the cylinder [tex]x^2+y^2=9[/tex] and the planes [tex]z=0[/tex] and [tex]z=6[/tex]. Converting to cylindrical coordinates involves setting

[tex]\begin{cases}x=r\cos u\\y=r\sin u\\z=v\end{cases}[/tex]

and [tex]\mathcal D[/tex] is obtained by varying the parameters over [tex]0\le r\le3[/tex], [tex]0\le u\le2\pi[/tex], and [tex]0\le v\le6[/tex]. The volume element is

[tex]\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm du\,\mathrm dv[/tex]

so the integral becomes

[tex]\displaystyle\iiint_{\mathcal D}xz\,\mathrm dV=\int_{v=0}^{v=6}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=3}r^2v\cos u\,\mathrm dr\,\mathrm du\,\mathrm dv=0[/tex]

2. Now let [tex]\mathcal D[/tex] denote the region bounded by the sphere [tex]x^2+y^2+z^2=4[/tex] and the coordinate planes in the octant in which each coordinate of the point [tex](x,y,z)[/tex] is negative.

Converting to spherical coordinates, we set

[tex]\begin{cases}x=\rho\cos u\sin v\\y=\rho\sin u\sin v\\z=\rho\cos v\end{cases}[/tex]

where we obtain [tex]\mathcal D[/tex] by varying over [tex]0\le\rho\le2[/tex], [tex]\pi\le u\le\dfrac{3\pi}2[/tex], and [tex]\dfrac\pi2\le v\le\pi[/tex]. The volume element is now

[tex]\mathrm dV=\rho^2\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv[/tex]

so the integral becomes

[tex]\displaystyle\iiint_{\mathcal D}z\,\mathrm dV=\int_{v=\pi/2}^{v=\pi}\int_{u=\pi}^{u=3\pi/2}\int_{\rho=0}^{\rho=2}\rho^3\cos v\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv=-\pi[/tex]

what does life expectancy measure

Answers

Life expectancy is an indication of how long a person can anticipate living. It provides a measure of the number of years remaining in a person's life at a particular age, provided death rates do not change.

Hope this helps! :)

A ____________ is a graph that uses adjacent rectangles to display frequencies, or relative frequencies, of quantitative data values. box-and-whisker plot histogram convenience sample mean absolute deviation

Answers

The correct answer is: Histogram

Explanation:
In simple terms histogram is a graph that consists of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval. It represents the distribution of the numerical data. Hence the correct answer is histogram as it conforms to the explanation about graph given in the question.

On the 4th of July, the probability of a person having a car accident is 0.08. What is the probability of a person driving while intoxicated or having a car accident if the probability of a person driving while intoxicated is 0.25 and the probability of a person having a car accident while intoxicated is 0.13?

Answers

The correct answer is D, 0.20. You add the probabilities of either situation occurring and subtract the probability of both of them occurring.

The answer is 0.20

0.25 + 0.08 - 0.13 = 0.20

How do you divide a decimal

Answers

U divide a decimal by taking your decimal and dividing it with the number you need to do it with

Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now?

Answers

Helen is 16 and Jane is 8

Let the age of the Jane be [tex] x [/tex]

So age of Helen = [tex] x [/tex] + 8

Twenty years ago,

Age of Jane = [tex] x [/tex] - 20

And age of Helen = [tex] x [/tex] + 8 - 20 = [tex] x [/tex] - 12

Helen was three times as old as Jane

[tex] x [/tex] - 12 = 3 ([tex] x [/tex] - 20)

[tex] x [/tex] - 12 = 3 [tex] x [/tex] - 60

Add - 3[tex] x [/tex] on both sides,

[tex] x [/tex] - 3 [tex] x [/tex] - 12 = 3 [tex] x [/tex] - 3 [tex] x [/tex] - 60

-2[tex] x [/tex] - 12 = - 60

Add 12 on both sides

-2[tex] x [/tex] - 12 + 12 = - 60 + 12

-2[tex] x [/tex] = - 48

Divide both side by -2

[tex] \frac{-2x}{-2}=\frac{-48}{-2} [/tex]

[tex] x [/tex] = 24

Age of Jane = 24 yrs

Age of Helen = 32 yrs

Use the drop-down menus to identify the method used to collect data for each scenario. Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years. Mia asked 20 random students at her school how many hours they spend on the computer each day. Beatriz recorded the number of customers entering a store for each hour interval.

Answers

The answers are published data, survey, and observational study in that order on elearning for anyone still wondering.

Answer:

Step-by-step explanation:

Given:

1) Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years.

Published data - Already recorded data used

2) Mia asked 20 random students at her school how many hours they spend on the computer each day.

Survey by Random sampling -- since a small size of whole population selected at random

3) Beatriz recorded the number of customers entering a store for each hour interval.

This is observational data because data was collected after really observing and recording the number of customers entering a store for each hour interval.

A woman is looking for a bigger square office. She finds an office twice the area of her current office. if the perimeter of her current office is 88feet, how many square feet is the new office?

Answers

The woman's new office has twice the area of her current office. By calculating the side length of the current square office from the perimeter and then finding the area, we determine the new office's area to be 968 square feet.

The question asks about calculating the area of a larger office which is twice the area of the woman's current office. Knowing the current office perimeter allows us to find the side length of the current square office and use it to calculate the area of both the current and the new office.

Calculate the side length of the current office from the given perimeter. The formula for the perimeter of a square is 4 × side length. Given that the perimeter is 88 feet, we divide by 4 to find that the side length of the current office is 22 feet. (88 ÷ 4 = 22)To find the area of the current office we square the side length (side length × side length). Thus, the area is 22 feet × 22 feet = 484 square feet.The new office has twice the area of the current one, so its area is 2 × 484 square feet = 968 ft².

The area of the new, larger office is 968 ft².

When paying off debts ,you should ___ .
A. pay the minimum
B.pay as much as possible
C.pay slightly more than the minimum
D.pay exactly half of what you owe

Answers

B: because you will have to pay an little more when u have the money

Answer:

B.pay as much as possible

Step-by-step explanation:

Debts are unpaid money that a person owes to its lenders. The lender can be any bank or any other financial institution or any person.

Long accumulated debts on banks, if not paid, can result in a person filing for bankruptcy. So, it is always good if you pay your debts on time.

Paying minimum or slightly more than minimum amount will result in paying more in the near future. It is possible that if you always pay minimum amount, you will not be able to clear debts anytime soon.

So, its best that if you have money, always pay as much as possible to get rid of your debt.

given the function, f(x)=(x^3)-(3x^2)+(64x)-192 find the zeros

Answers

There are a few ways to find the zeros. I am going to use the grouping method.

NOTE: GCF = Greatest Common Factor

The function: [tex]f(x) = x^3 - 3x^2 + 64x - 192[/tex]

Lets group [tex]x^3 - 3x^2[/tex] and [tex]64x - 192[/tex]

Factor [tex]x^3 - 3x^2[/tex]
Find GCF
GCF = [tex]x^2[/tex]

Divide out the GCF [tex]x^2[/tex]
[tex]\frac{x^3 - 3x^2}{x^2} = (x - 3)[/tex]

Factor From:
[tex]x^2(x - 3)[/tex]

Now factor 64x -192
GCF of 64 and 192 = 64
Factor out 64 from 64x - 192
[tex]\frac{64x - 192}{64} = (x - 3)[/tex]

Factor Form:
[tex]64(x - 3)[/tex]

Now that we have factored the groups, bring them together.
[tex] x^2(x-3)[/tex]
[tex] 64(x-3)[/tex]

[tex]x^2(x-3) + 64(x-3)[/tex]

Since (x-3) is the GCF of [tex]x^2(x-3) + 64(x-3)[/tex], factor (x-3) out.
[tex]\frac{x^2(x-3) + 64(x-3)}{(x-3)} = x^2 + 64[/tex]

Factor Form:
[tex](x-3)(x^2 + 64)[/tex]

Now set [tex](x^2 + 64)(x-3)[/tex] to zero and solve for x.
[tex](x^2 + 64) = 0[/tex]
[tex]x^2 = - 64[/tex]

Take the square root of both sides of the equal sign:
[tex]\sqrt{x^2} = \sqrt{-64}[/tex]
[tex]x = \sqrt{-64}[/tex]
[tex]x = \pm 8i[/tex]

Now for (x-3)
x - 3 = 0
x - 3 + 3 = 3
x = 3

The zeros and answers:
[tex]x = -8i[/tex]
[tex]x = 8i[/tex]
x = 3

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select the values of r, below, that represent a low or no correlation0.80.30.1-0.2-0.51-0.001 Which situation is represented by the equation? 9x + 90 = 6x + 120 A)Jake has $90 and Mike has $120. Jake saves $6 per week and Mike saves $9 per week. How long will it be before Jake has more money than Mike?B)Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake has more money than Mike? C)Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Mike has more money than Jake?D)Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake and Mike have the same amount of money? What is the size of the obtuse angle CBA WHAT IS 1/3 OF 97.50 Q # 2 please find the area How many countries and how many continents make up the middle east? twenty milligrams of the drug lincomycin is to be given for each kilogram of a person's weight. The drug is to be mixed with 250 cc of a normal saline solution, and the mixture is to be administered intravenously over a 1 hour period. Clyde Dexter, who weighs 196 lb, is to be given the drug. Determine the dosage of the drug he will be given? 40. Based on the chart above in question #39, which two species would most likely be able to live in the same habitat without competing with each other for food? a. A and Cb. B and Cc. B and Dd. C and E paises aliados de palestina The main argumentative appeal in Churchills speech is During the Heian Period, Japan successfully fought off an invasion by the Mongols of China. What contributed to this success? A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach? According to the principal of dominance, if a recessive gene for tallness is paired with another recessive gene for tallness, the organism _____. studysoup.com Les drew the number line shown to add 2.5 + (25). He says the sum is 22.5.Which is a correct description of his work?A.His number line is correct, and the correct sum is 22.5.B.Les should have started at 0, moved right to 2.5, and then moved left to 25. The correct sum is 23.5.C.Les should have started at 0, moved right to 2.5, and then moved left 25 units. The correct sum is 22.5.D.The correct sum is 22.5, but his number line is incorrect. Les should have started at 0, moved left to 2.5, and then moved right 25 units. Can you guys please help me posted picture of question A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting line as from the finish line, how far is the runner from the finish line? Which determines whether the fire will have open flames?Question 4 options:flash pointfuel-air mixexothermic energytype of fuel why did supply-side economics appeal to conservatives What is the greatest cause of biodiversity loss today? What is the ph of a 0.45 m solution of aniline (c6h5nh2)? (pkb 9.40)?