Mathematics High School

An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet?

I am using the formula: -16t^2 + vot + h0 because the question is referring to feet.

Answers

Answer 1
The question is asking what v_final is, given that v_initial is at 300 feet. and v_initial is at 0 feet.  
We know there will be a constant downward acceleration of 32.15 ft/s^2.
 Use the following equation: 
 v_final^2 = v_initial^2 + 2ah
 v_final^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft) = 6310 ft^2/s^2
 v_final = (6310 ft^2/s^2)^1/2 = 79.4 ft/s.
Answer 2

The speed of the debris is 79.4 ft/s

Calculation of the speed:

Since there is an initial velocity of 160 feet per second, height is 300feet

So, we applied the below formula

[tex]v_({final})^2 = v_({initial})^2 + 2ah\\\\ v_({fina})l^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft)\\\\ = 6310 ft^2/s^2\\\\ = (6310 ft^2/s^2)^{1/2}\\\\ = 79.4 ft/s.[/tex]

Therefore, The speed of the debris is 79.4 ft/s

Learn more about speed here: https://brainly.com/question/1825528

Related Questions

A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long. What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.

Answers

We need to calculate the other triangle side.
Using the Pythagorean Theorem,
3rd side^2 = 360^2 -160^2
3rd side^2 = 129,600 - 25,600
3rd side^2 = 104,000
3rd side = 322.49
Perimeter = 2 * (160 + 322.49)
Perimeter = 964.98 feet



Answer:

Perimeter of rectangle  rounded to the nearest hundredth is 964.98 feet.

Step-by-step explanation:

Given : A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long.

To find :  What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.

Formula used : perimeter =  2* length + 2√[tex]d^{2} -l^{2}[/tex].

Solution : We have diagonal of 360 feet and length = 60 feet .

plugging all the values of  d and , l in formula .

perimeter =  2* 160 + 2√[tex]360^{2} -160^{2}[/tex].

perimeter = 320 + 2√[129600 -25600].

perimeter =  964.98 feet = nearest hundredth = 964.98 feet.

Therefore, Perimeter of rectangle  rounded to the nearest hundredth is 964.98 feet.

which letter has at least one line of symmetry?
D
J
G
P
DOES ANYONE HAVE THE WHOLE QUIZ???? UNIT 4 Compositions of Isometries

Answers

D.

The letter D has a line of symmetry that runs horizontally down the middle. If you were to fold the letter D in half, you would see that the upper and lower half of the letter look the exact same.

A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,

Answers

7200kg in grams is 7200 x 1000= 7200000g, since 1 kilogram equals 1000 grams. This is also 7.2 x 10^6, which is found by moving the decimal point six places to the left and indicating it as multiplied by that many powers of ten.

The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4
What are the possible dimensions of the classroom? Use Factoring.
A.(5x - 4) and (2x + 1)
B.(5x - 4) and (2x - 1)
C.(5x + 4) and (2x - 1)
D.(5x + 4) and (2x + 1)

Answers

Answer: C is the correct factored form of the equation.

To solve this, you can factor the polynomial by grouping. There are numerous ways to do this.

If you are given a multiple choice question like this, you can use the FOIL method to test the answers until you get the correct one.

Choice C with the FOIL method.

(5x + 4)(2x - 1)
10x^2 - 5x + 8x - 4
10x^2 +3x - 4

It is correct!

WILL GIVE BRAINLIEST ANSWER

PLEASE HELP WITH 9 & 10

Answers

something that i would do is see how many times bigger the other shape is like for number 9 i would do 28/4 which is 7 times larger then you do 56/7 and get 8.

then for 10 i did 49 divided by 7 which is 7 times larger so then you do 28/7 to get 4 so that is your answer for 10 4.

9:8
10:4

Luisa sells stuffed animals.she sells a stuffed elephant for $34.90, and the sale tax is 6% of the sale price.about how much is the sales tax on the elephant

Answers

To solve this problem you must follow the proccedure below:

 1. You have that Luisa sells a stuffed elephant for $34.90 and the sale tax is 6% of the sale price.

 2. Then, you only have to multiply $34.90 by the sale tax, as below:

 6/100=0.06

 Sales tax on the elephant=$34.90x0.06
 Sales tax on the elephant=$2.094

 About how much is the sales tax on the elephant?

 The answer is: $2.094

 


The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring. (1 point) (x-6) and (x-2) (x+6) and (x+2) (x-6) and (x+2) (x+6) and (x-2) 17. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point) a. (x+6y)(x-8y) b. (x-6y)(x-8y) c. (x+6y)(x+8y) d. (x-6y)(x+8y) 18. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring. a. (3x-2) and (8x-4) b. (3x-2) and (8x+4) (3x-2) and (8x-4) (3x+2) and (8x-4)

Answers

Given that the rectangle is x²+4x-12, the possible sides will be given by:
a]
x²+4x-12
=x²+6x-2x-12
=x(x+6)-2(x+6)
=(x-2)(x+6)
thus the dimensions are (x-2) units (x+6) units

b]
x²+2xy-48y²
factorizing the above is:
x²+8xy-6xy-48y²
=x(x+8y)-6y(x+8y)
=(x+8y)(x-6y)

c] 
24x²-4x-8
factoring the above we get:
=4(6x²-x-2)
=4(6x²+3x-4x-2)
=4(3x(x+2)-2(x+2))
=4(3x-2)(x+2)
=(12x-8)(4x+8)




Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.

What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?




1.95 mph

2.9 mph

3.9 mph

7.8 mph

Answers

to get the difference between the golfers we proceed as follows;
the z-score is given by:
z=(x-μ)/σ
the score for golfer with z-score of 0 will be:

μ- mean
σ- standard deviation
0=(x-95)/3.9
the value of x will be
0=x-95
x=95

the score for the golfer with z-score of -1 is:
-1=(x-95)/3.9
-3.9=x-95
x=-3.9+95
x=91.1
the difference in the score of the golfers will be:
95-91.1
=3.9
the answer is C] 3.9 mph

The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

Perimeter  = 42 inches

Explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. In case of any diagram or figure, we add all the outer sides of the figure to get perimeter.

Here, outer sides are :

4, 4, 4, 4, 4, 4, 4, 6, 8

Now add all the sides together.

Permeter = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 6 + 8 = 42 inches.

Final answer is 42 inches

Answer:

42 inches

Step-by-step explanation:

1. What is the value of x? Show all of your work.

Answers

AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
[tex] \sqrt{81} = 9[/tex]
Therefore AB is 9 cms.

Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.

A. Corresponding parts of similar triangles are similar.
B. Alternate interior angles are supplementary.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,

Answers

The opposite sides of a parallelogram can be proved congruent by joining the diagonal of the parallelogram and proving the two triangles congruent by ASA .In any parallelogram opposite sides are parallel.We prove the triangles to be congruent by taking the property of parallel lines that  Alternate interior angles are congruent.

When the triangles are proved congruent the opposite sides of parallelogram can be proved equal by using the property Corresponding parts of congruent triangles are congruent.,

The options which hold true to prove opposite sides of a parallelogram are congruent are options C and D.

C. Alternate interior angles are congruent.

D. Corresponding parts of congruent triangles are congruent.,

A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed

Answers

134 bags. 

You get this by dividing the 1600 by 12 and rounding up.

134 bags are needed to pack all the cookies.

To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.

Start with the total number of cookies:

1600 cookies.

Each bag can hold 12 cookies:

1 bag= 12 cookies

Divide the total number of cookies by the number of cookies per bag:

1600 ÷ 12.

Using division:

1600 ÷ 12

= 133.33.

Since you can't have a partial bag, you need to round up to the next whole number.

So, you will need 134 bags to pack all the cookies.

A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.

What is the volume of the sand pile?

Use 3.14 for pi.

Enter your answer as a decimal

Answers

v=pi*(r )upper 2 * h
v= 3.14 (9*9 ) * 10
=847.8

The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].

What is volume?

Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.

How to determine volume?

It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be

Volume=1/3π[tex]r^{2} h[/tex]

Radius=diameter/2

=18/2

=9  feet

Volume=1/3*3.14*[tex]9^{2}[/tex]*10

=1/3*3.14*81*10

=254.34/3

=847.8 [tex]feet^{3}[/tex]

Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it take to fill the cone? Use 3.14 to approximate pi. Enter your answer in the box.

Answers

Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.

We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.

First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is

π • r^2 • (h/3)

Let’s go ahead and plug in (remember we use 3.14 for π)

(3.14) • (60)^2 • (150/3)

The volume of the cone is 565,200 cm^3

Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.

565200/1413

400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!

Which of the following problem types CANNOT be solved using the law of sines?

**Choose ALL that apply!!!***

A. SAA

B. SSS

C. AAA

D. SAS

E. ASA

**I'm confused :( can you please explain? thank you :)

Answers

Law of sines in a triangle with angles A, B, C and sides a,b,c states that 
 (sin A)/a =(sinB)/b = (sinC)/c  
 To use the above ratios, you need at least one angle and one side and one of either an angle or a side. So SSS and AAA don't work

Answer:

B) SSS C AAA D) SAS

Step-by-step explanation:

The sine rule is used when we are given

a) Two angles and one side (SAA)

b) Two angles and included side (ASA)

Sine rule can not be used in SSS,AAA or SAS.

Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS

EASY MEDAL !!!!!
Given the trinomial, what is the value of the coefficient 'B' in the factored form?

2x2 - 12xy - 32y2 = 2(x - 8y)(x + By)

B= ____________

Numerical Answers Expected!,

Answers

Let's start with the given polynomial:
2x² - 12xy - 32y²

As a first step, we want to regroup 2:
= 2(x² - 6xy - 16y²)

Now, we want to re-write the term -6xy in order to be able to perform a partial factoring. In this case, we can write:
-6xy = -8xy + 2xy
Therefore, the polynomial becomes:
= 2(x² - 8xy + 2xy - 16y²)

Now we factorize x within the first two terms and 2y within the last two:
= 2[x(x - 8y) + 2y(x - 8y)]

We can now regroup the common term:
=2(x - 8y)(x + 2y)

Your answer is hence B = 2

Suzie drew the line of best fit on the scatter plot shown.



What is the approximate equation of this line of best fit in slope-intercept form?

y = 6 over 5x + 3
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6

Answers

Hey there!

Slope intercept form is defined as:

y = mx +b

In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.

Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.

We have;

(0,3) and (5,9)

As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher.  We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:

y2-y1/x2-x1 =

9-3/5-0 = 6/5

Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.


Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation

Slope = 6/5
Y intercept = 3

y = mx + b  --> y = 6/5x + 3

Your answer is A, the first option.

Hope this helps!

Find the area of the regular pentagon if the apothem is 4.9 m and a side is 7.1 m. round to the nearest whole number. 62 m2 34 m2 87 m2 17 m2

Answers

we know that
[Area of the regular pentagon]=5*[side length * apothem] / 2
side length=7.1 m
apothem=4.9 m
then
Area=5*[7.1 * 4.9] / 2-----------> 86.975 m²----------> 87 m²

the answer is 87 m²

HOW DO YOU FIGURE OUT THE SLOPE OF A LINE ON A GRAPH?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation.

Answer:

There are different ways to find the slope of a line on a graph

Step-by-step explanation:

One way to find the slope of a line is by putting your line into the equation y=mx+b

In case you don't know m= the slope and b= the y-intercept

If you want to put your equation into y=mx+b; you will need to do rise/run

This means you count how much your line goes up on the y-axis so you rise however many and then you go to the right or left and count until you get to the point that is in line with the y and x axis'.

Also you can use the equation Y2-Y1/X2-X1  

You will do that by finding 2 points from the line and take the numbers and make it into Y2-Y1/X2-X1  

For Example if you had,

(4,3)(6,8) you would do

8-3/6-4= 5/2 so your m, or your slope would be 5/2

I hope this helps!

If you were asked to find the 87th term in a sequence, which formula would you want to be given?
A) analog form
B) digital form
C) explicit form
D) recursive form,

Answers

If you were asked to find the 87th term in a sequence, the formula you would want to be given is the explicit form. The correct answer to your questions is letter C. It is a formula that allows direct computation of any term for a sequence a1, a2, a3..an

Answer:

C) explicit form

Step-by-step explanation:

Since the explicit form is written in terms of the number of the term, it would be the most useful to find the 87th term. To use the recursive form, you would have to know the 86th term.

You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorable outcomes when rolling an odd number?

1, 3, 5

2, 4, 6

1, 2, 3, 4, 5, 6

1, 2, 3

Answers

The favorable outcomes are the outcomes we want (aka the outcomes we favor or like). Think of it as a gambling game. If the goal is to roll an odd number, then we need to roll a 1, a 3 or a 5. We don't want 2, 4 or 6 as those are even.

The answer is choice A) 1, 3, 5

The drop that riders experience on Dr. Doom's Free Fall can be modeled by the quadratic function, h(t)9.8t2 5t 39 where h is height in meters and t is time in seconds. From what height are the riders dropped? What is the height of the riders after 1.5 seconds?

Answers

The correct answer is 53.55 meters.

To solve this problem, we need to analyze the given quadratic function h(t) = [tex]9.8t^2 - 5t + 39[/tex], where h is the height in meters and t is the time in seconds.

The given quadratic function: [tex]h(t) = 9.8t^2 - 5t + 39[/tex]

Part 1: From what height are the riders dropped?

[tex]h(0) = 9.8(0)^2 - 5(0) + 39[/tex]

[tex]h(0) = 39[/tex]

The riders are dropped from a height of 39 meters.

Part 2: What is the height of the riders after 1.5 seconds?

[tex]h(1.5) = 9.8(1.5)^2 - 5(1.5) + 39[/tex]

[tex]h(1.5) = 9.8(2.25) - 7.5 + 39[/tex]

[tex]h(1.5) = 22.05 - 7.5 + 39[/tex]

[tex]h(1.5) = 53.55[/tex]

The height of the riders after 1.5 seconds is 53.55 meters.

12-packs of skwunch apple juice cost $3.00 after a 40% discount.Which equation would allow you to find the original price of the 12-packs?

Answers

The answer is 8
Hope this help and plz give me points thank u :)

Answer:

The Iready Answer:

0.6x = 3

what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon

A. A
B. E
C. P
D. T

Answers

I believe the answer would be C. P
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places

Answer:

The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.

Step-by-step explanation:

The number of vertices of a regular pentagon is 5.

The central angle between two consecutive vertices is

[tex]\frac{360}{5}=72[/tex]

It means the central angle between two consecutive vertices is 72 degrees.

We have to find the image of N for a 144° counterclockwise rotation about the center.

If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.

If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.

The image of N for a 144° counterclockwise rotation about the center is P.

Therefore the correct option is C.

How can transposable elements promote functional genetic diversity in a population?

Insertion into a regulatory sequence may alter the strength of transcription.
Insertion into an intro may provide an alternative splice site, producing a protein with a new exon.
Insertion into an mRNA strand may change the amino acid sequence produced.,

Answers

Transposable elements promote functional genetic diversity in a population by insertion into an intro may provide an alternative splice site, producing a protein with a new exon.  This is a way to get a genetically modified organism.

Which rational number is one-half of the way between 2 and 6.5: 2.25, 4.25, 4.5, or 4.75? And please explain.,

Answers

The rational number halfway between 2 and 6.5 is 4.25. This number can be found by looking at the difference between 6.5 and 2, which is 4.5. Then dividing the resulting number, 4.5 in half which gives us 2.25, and then adding half to difference, 2.25, to 2.
To find the midpoint of 2 numbers:
1. Add up the 2 numbers
2. Divide the number by 2

Midpoint of 2 and 6.5:
1) 2 + 6.5 = 8.5
2) 8.5 ÷ 2 = 4.25

Ans: The midpoint of 2 and 6.5 is 4.25

Please help asap!!! 13 points!

Answers

The answer would be D
-3x + 9y = 18   substitute 0 for the y and x

-3(0) +9y = 18    =    9y = 18 =   18 ÷ 9 = 2 = y intercept

-3x + 9(0) = 18   =   -3x = 18 =   18 ÷ -3 = -6 = x intercept

    the answer would be D

The graph shown is the graph of which function?

Answers

square root function. f(x)= square root x x> or = to 0

Answer:

The function of the graph is y = f(x) = x².

Step-by-step explanation:

From the graph we have

At x = 0, y = 0

Therefore f(x) = ax + c where c = 0

At x = 1  y = 1

At x = 4 y = 2

At x = 9 y = 3

At x = 16 y = 4

Therefore the graph is of the form, y= f(x) = x²

That is the graph can be plotted  with a slope given by dy/dx = 2x an an intercept of c = 0.

Values of the graph are as follows

      x                       y

      1                        1

      2                     √2

      3                     √3

      4                       2

      5                      √5

      6                      √6

      7                      √7

      8                      2√2

      9                       3.

which law would you use to simplify the expression (x^4)^9?

Answers

The answer is a power to a power because then you can find the way to simplify the expression. 

Hope this helps, byeee :)

The law that will be used to simplify the expression is the law of exponents.

What are Exponents?

Exponents are the powers of the base numbers.

The law of exponents will be used to simplify the expression (x⁴)⁹

According to the law of exponents,

(aⁿ )ˣ = [tex]\rm a^{xn}[/tex]

So,

(x⁴)⁹ = x³⁶

Therefore, the law that will be used to simplify the expression is the law of exponents.

To know more about Exponents

https://brainly.com/question/15993626

#SPJ2

Jeanette purchased a concert ticket on a web site.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.This website applied a 10% service fee to the discounted price.Jeanette ticket was less than the original price by what percent?

Answers

STEP 1:
Find discounted price.
Discounted $= original $ - (original $ * % discount)

Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60


STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)

Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66


STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100

% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%

***the negative indicates a decrease


ANSWER: Her ticket was less than the original by 12%.

Hope this helps! :)
Other Questions
which explains what happens to mary when the cholera breaks out? a. the servants lock her in a room by herself. b. she is forgotten in the chaos. c. colonel mcgrew tells her to hide in the nursery until everybody gets well. d. her parents send her to england . Which of the following is not an oxidation-reduction reaction?(pictured below) A client presents to the ed reporting anxiety and chest pain after shoveling heavy snow that morning. the client says that nitroglycerin has not been taken for months but upon experieincing this chest pain did take three nitroglycerin tablets. although the pain has lessened, the client states, "they did not work all that well." the client shows the nurse the nitroglycerin bottle; the prescription was filled 12 months ago. the nurse anticipates which order by the physician? Which group of people were allowed to fight for the british during the american revolution in exchange for their freedom when the war ended? what would you do if there was foot lettuce in your burgerking burger Four particles are in a 2-d plane with masses, x- and y- positions, and x- and y- velocities as given in the table below: what is the x position of the center of mass? m 2) what is the y position of the center of mass? m 3) what is the speed of the center of mass? m/s 4) when a fifth mass is placed at the origin, what happens to the horizontal (x) location of the center of mass? it moves to the right. it moves to the left. it does not move. it can not be determined unless you know the mass. 5) when a fifth mass is placed at the center of mass, what happens to the vertical (y) location of the center of mass? it moves up. it moves down. it does not move. it can not be determined unless you know the mass. What prime factor(s) will make the lcm of 9 and 15 a poll shows that 76% of voters in a city favor an initiative to increase spending on public schools. if 10 voters are selected at random, wht is the probability that exactly five of them will vote in favor of the initiative?, What is the value of x? x=23 x=35x=58 x=93 A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot. Which of the following was NOT a contribution of ancient Indian civilization?A. The VedasB. The invention of gunpowder C. Wrought-iron pillarsD. The mathematical value of pi HEEEEEEEEEEEEEEEEEELPPPPPPPP What is the area of this figure? 1.In a short paragraph, explain why most colonists had a positive attitude toward Britain in 1763. Give at least two reasons. Type your answer here. Find all integer solutions to the pair of congruences (if any) x 17 (mod 23) 70x 3 (mod 93). Determine there oxidation state of Cl in NaClO3.I believe that the answer is 1+??, but am a little unsure., How much will be left after 105 Days? The writers of a text that includes technical vocabulary will often include _________ to assist the reader in understanding unfamiliar terms. Sid is $300 in debt. He needs to get the debt down to no more than $100 within the next 8 months. If he pays the same amount each month, what is the minimum he must pay off each month to manage this? ) who has benefited from the belief that we can sort people according to race and that there are natural or biologically based differences between racial groups?