hopt shipping company charges a
flat fee of $9 Plus an additional
$0.18 per pound to ship a package.
Gespil shipping company
flat fee of $10 plus an additional
$0.10 per pound. How many pounds
would a package weigh
that cost the same at
both companines?

Answers

Answer 1

Answer:

Hopt: 10 Gesplil; 6

Step-by-step explanation:


Related Questions

Math
Show your solution please the question is in the picture

Answers

Answer: A) x^2+y^2 B) x^3+y^3 C) a^2b^2c^2 D) c^2/d^2

Step-by-step explanation:

For A, you add all the powers. This is because the bases are the same. Any number or letter without a visible power on top most likely means that is has a power of 1. Because this is a multiplication question, you have to add the powers. (Example n*n = n^2 or n^3*n^7 = n^10)

This is same for B.

For C, you multiply abc by abc so it's a*a, b*b, c*c. This is because they are inside a bracket. Anything inside the bracket that has a power outside the bracket is multiplied by itself.

For D, you multiply c and d so it's c*c, d*d. This is the same as C.

a certain area of the eastern united states is, on average, hit by 6 hurricanes a year. find the prob- ability that in a given year that area will be hit by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.

Answers

By applying probability method in a Poisson distribution, we find out that the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512 and the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

It is given that -

On an average, Eastern United States is hit by 6 hurricanes in a year.

We have to find out -

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

This is a case of probability which relates to Poisson distribution that provides probability of any random event that occurs within a specific time interval.

Let us assume the number of hurricanes is represented by [tex]X[/tex]. The Poisson distribution can be represented as -

[tex]P(X) = \frac{(lambda)^{X}*e^{-lambda}}{X!}[/tex] -------(1)

​Here, [tex]X\\[/tex] = 1,2,3,...

lambda = Average = 6 (in this question)

[tex]e[/tex] = 2.718

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

[tex]P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)\\= \frac{6^{0}*e^{-6}}{0!}+\frac{6^{1}*e^{-6}}{1!}+\frac{6^{2}*e^{-6}}{2!}+\frac{6^{3}*e^{-6}}{3!}\\=0.0025+0.0149+0.0446+0.0892\\=0.1512[/tex]

Thus, the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512.

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

[tex]P(6\leq X\leq 8)=P(X=6)+P(X=7)+P(X=8)\\=\frac{6^{6}*e^{-6} }{6!}+\frac{6^{7}*e^{-6} }{7!}+\frac{6^{8}*e^{-6} }{8!}\\=0.1606+0.1376+0.1033\\=0.4015[/tex]

Thus, the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

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a hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. if the sample consists of 41 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? round to two decimal places.

Answers

The computed value of the test statistic is 4.65 or 4.7

Information given in the query:

significance level = 0.05

Sample size is 41 observations, and the correlation value is 0.60.

Now,

Using the formula, the test statistic to determine whether the population correlation is zero is provided.

:

t =[tex]r\sqrt{n-2} /\sqrt{1-r^{2} }[/tex]

on substituting the respective values, we get

test statics , t = 4.65

or

t=4.7

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!!20 Points!! Solve using augmented matrices.
x+y=1
3x-y=7

Answers

x=2
y=-1
You have to do subtitution

can someone tell me if im right?

Travis rents an apartment in a historic, all-brick building downtown. The value of the belongings in the apartment is about $11,000. If Travis wishes to insure his belongings while renting, how much will he have to pay for insurance per year? Use the table above to solve.

I did:
it fell under 0.39 for building and 0.43 for contents so I did
0.39 x 12=4.68 then added the 100 dollar bonus and got $104.68

Answers

The amount of insurance that Travis will have to pay for the year is of:

$47.3.

What is the amount of insurance that Travis has to pay?

He is renting the apartment, in which the belongings are worth $11,000, hence the insurance will be paid over that amount.

The number of hundredths in $11,000 is given by:

11000/100 = 110.

He pays an insurance of $0.43 for each $100 in belongings, hence the total insurance is of:

0.43 x 110 = $47.3.

There is no information regarding the value of the building, hence we are going to consider that he does not pay insurance for the building.

This insurance was taken from the table, as the apartment is in the city (downtown), and all brick, hence the coefficient is of 0.43.

Missing information

The table with the rates is given by the image at the end of the answer.

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What is the operation rule from number of ounces of flour to number of cupcakes?

Please use the graph above.



(A.) Multiply by 3

(B.) Multiple by 2

(C.) Add 8

(D.) 2

Answers

Answer: (B) Multiply by 2

Step-by-step explanation:

For every ounce of flour, 2 cupcakes can be made.

The answer is B, Multiply by 2


Evaluate. Write your answer as a whole number or as a simplified fraction.
Submit

Answers

Answer:

1 / 121

Step-by-step explanation:

4^0 / 11^2

= 1 / 11^2

= 1 / 121

PLEASE HELP ME! QUICK!

Answers

The volume of the given triangular prism to the nearest tenth is; 171.5 in³

What is the Volume of the triangular prism?

The volume of a triangular prism of the kind given to us is expressed as;

Volume of a triangular prism = area of base triangle × length of the prism

Now, the formula for area of base triangle is;

Area = 1/2 * base * height

From the question, we have;

base = 9.8 in

height = 14 in

Now, the length of prism is 2.5 inches. Thus;

Volume of prism =  (1/2 * 9.8 * 14) * 2.5

Volume of prism = 171.5 in³

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is 13 over 12 a proper or an improper fraction?

Answers

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

[tex]in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}[/tex]

Therefore the right answer is an improper fraction

13 people on a softball team show up for a game. how many ways are there to choose 10 players to take the field? (you must provide an answer before moving to the next part.)

Answers

858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

[tex]C^{13} _{10}[/tex] = [tex](^{13} _{2} )[/tex]

Splitting the combination,

[tex]C^{13} _{10}[/tex] = (13 × 12 × 11) ÷ 2

[tex]C^{13} _{10}[/tex] = 1716 ÷ 2

[tex]C^{13} _{10}[/tex] = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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How to search question up on this?

Answers

Answer:

find search bar

Step-by-step explanation:

see answer

El valor de x que se cumple con 6x-10=2 es

Answers

Answer:

the answer is 2

Please help!! I’ve been struggling


Explain how to solve this question by multiplying, dividing, adding, or subtracting both sides by 2

Answers

Answer:

x=16

Step-by-step explanation:

x/2 = 8

Multiply both sides by 2

x=16

:] Hope this helps

the answer would be x=16

you would multiply both sides by 2

98
7. A bag contains 100 marbles. Some are red and the rest are blue. If there are no
more than 12 times as many red marbles as blue marbles in the bag, at most how
re in the bag? At least, how many blue marbles are in the
many red marbles are
bag?

Answers

At least 84 blue marbles and 7 red marbles are there in the bag.

Let the bag contain x red marbles therefore there are 12x blue marbles.

Therefore according to the question,

12x + x = 100

13x = 100

= 100/13

=7.69 approx

Which is not possible as the no,of marbles cannot be in decimals therefore there must be atleast 7 marbles of red colour and 84 blue marbles.

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What is the absolute value of −1/4 ?

Plot your answer on the number line.

Answers

Answer:

1/4

Step-by-step explanation:

Hope this helps!

please answer question 98 please!
thanks

Answers

Answer: 1.6 hours (when rounded to nearest tenth)

Steps: 3, 2, 2, 1, 1.5, 2. Add together; 9.5
divide; 9.5 / 6 = 1.583333
round up to nearest tenth; 1.6

Explanation: To calculate average (also called “mean”), you have to add all the numbers together, and divide that number by how many numbers there were. ex: 5, 2, 7, 4, 2. First you would add the numbers together: 20. There were 5 numbers I added together; 20 / 5 = 4. The average would be four.

Cathy has 48m of fencing to make a rectangular pen for her pets. What is the
maximum area?

Answers

The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.

What is the area of the square?

Let a be the side length of the square.

Then the area of the square will be

Area of the square = a² square units

Cathy has 40 meters of fencing to build a rectangular pen for her pets.

For the maximum area of the rectangle, the length and width should be congruent.

40 = 4a

a = 10

Then the area of the square will be

A = 10²

A = 100 square meters

The dimensions of the pen of the rectangle will be 10 by 10 which is a square.

standard to slope intercept form

Answers

Answer: y = 1/6x + 1

Step-by-step explanation:

12y - 2x= 12

    +2x  +2x

12y =  12 + 2x

DIVIDE BOTH SIDES BY 12

y = 1 + 1/6x

THEN PUT IN SLOPE INTERCEPT FORM

y = 1/6x + 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y - 2x = 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 2x + 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{12} x + \frac{12}{12} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{1}{6} x + 1[/tex]

Slope = 1/6, y - intercept = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Can someone help me with this please?

Answers

The output of the linear function is -n+3 when the input is n.

What is a slope?The slope of a line can be used to calculate its steepness. The slope or gradient of a line is a number that indicates its direction and steepness.The slope is calculated by dividing the vertical change by the horizontal change between any two distinct points on a line. The ratio is sometimes written as a quotient, which produces the same number for every two distinct points on the same line.

How to find the output of the linear function?

A linear equation is given by ,

f(x) = mx+ c   ---(1)

From the table,

x value increases by 1

y value decreases by 1

The function's slope, or the coefficient that converts an increase in x to an increase in y, is represented by the letter m.So, the coefficient slope(m) magnifies the decrease by 1

Substituting slope m = - 1 in (1)

f(x) = -x+ c  ---(2)

Substitute  (1, 2) in (2)

2 = -1 +c

c = 2 + 1

c = 3

Substitute slope m and c in (2)

f( x ) = - x + 3

When input is n output is given by,

f(n) = - n + 3

The output of the linear function is -n+3 when the input is n.

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A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

The system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased is b + s = 9 and 10s + 12s = 100

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the small box be represented as s.

Let the big box be represented as b.

Each small box has 10 granola bars and each large box has 12 granola bars. The The camp bought a total of 9 boxes that have 100 granola bars altogether.

The equation will be:

b + s = 9

10s + 12s = 100

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Answer:

​10x + 12y = 100

x + y = 9

Step-by-step explanation:

Define Variables:

Let x = the number of small boxes purchased

Let y = the number of large boxes purchased

Each small box has 10 granola bars, so small boxes have 10x granola bars.

Each large box has 12 granola bars, so large boxes have 12y granola bars. Therefore, the total number of granola bars 10x + 12y equals 100:

10x + 12y = 100

Since a total of 9 boxes were purchased, we know x + y must equal 9.

x + y = 9

What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)

Answers

By translating trapezoid S′T′U′V 7 using the same translation rule, the location of T′ in the image trapezoid S′T′U′V′ is: D. (13, -1)

The types of transformation.

Generally, there are four (4) main types of transformation and these include the following:

ReflectionDilationRotationTranslation

What is a translation?

In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure or object in the same direction, as well as for the same distance.

By critically observing the graph (see attachment), we can logically deduce that rectangle JKLM was transformed to rectangle J'K'L'M' by translating it 7 units to the right and 5 units up.

Next, we would apply the same translation rule to T' which is located at point (6, -6) as follows:

(x, y)                →        (x + 7, y + 5)

Point T (6, -6)     →       Point T' = (6 + 7, -6 + 5) = (13, -1)

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Complete Question:

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)

help on the ones you know

Answers

Answer:

2. y = x + 13

Step-by-step explanation:

Your points are: (-4, 9) and (2, 15)

To write an equation of a line from two ordered pairs, you first find the slope (m)

To find the slope, you do y2 - y1 / x2 - x1

(-4 is x1, 9 is y1) (2 is x2, 15 is y2)

Plug in the numbers:

15 - 9 / 2 - (-4) ----------------------> 6/6 ----------> 1, m = 1

The next equation we'll use is y - y1 = m(x - x1)

and slope intercept form is y = mx + b

Pick either ordered pair to plug in the coordinates, but this time I'll use

(2, 15) -----> 2 is x1, 15 is y1

y - 15 = m(x - 2)

Since we already know the slope, m, we can simplify the equation.

y - 15 = 1(x - 2)

Distributive property

y - 15 = x - 2

Add 15 on both sides,

y = x + 13

1. y=(2/3)x-4
slope is rise/run. starting at (0,-4), i counted up 4 to the x-axis then over 6 to the point (6,0). this gives a slope of 4/6, which is then reduced to 2/3. our b in the y=mx+b is found by looking for where the line crosses the y-axis, which is at (0,-4). b is this y value. plugging everything in (m for slope, b for y-intercept) gives y=(2/3)x-4

2. the other commenter did a great job at explaining 2

3. the line with a slope of -3 is steeper
start this problem by solving for y in the equation given. -5x+2y=8 becomes 2y=5x+8, then y=(5/2)x+4. all we need from this is the slope 5/2 to compare to -3. a steeper slope is given by the larger absolute value. |5/2| is 5/2, and |-3| is 3. 5/2<3, so the line with the slope -3 is steeper.

4a. the lines are neither perpendicular or parallel.
the slopes are different, so they cannot be parallel. the slope of the first equation and second equation (-4 and 4) are not inverse reciprocals of each other, so they cannot be perpendicular.

4b. the lines are parallel.
to find the answer of this question, solve for y in the first equation. 5x+15y=-8 becomes 15y=-5x-8, then y=-(1/3)x-(8/15). the slopes of the lines are both -1/3 with different y-intercepts, so the lines are parallel.

5. y=(1/3)x-(14/3)
use point-slope form and simplify. plugging into point slope gives us y+2=m(x-8). m is found by taking the inverse reciprocal of the equation given to us. the inverse reciprocal of -3 is 1/3, so m=1/3. the equation is y+2=(1/3)(x-8). distribute to get y+2=(1/3)x-(8/3). solve for y. y=(1/3)x-(8/3)-2. y=(1/3)x-(8/3)-(6/3). y=(1/3)x-(14/3)

0.8 divided by 0.6 then round to nearst hundredth

Answers

Answer: 1.33

Step-by-step explanation:

0.8 divided by 0.6= 1.33333333333

3 is in the hundredths place and 3 is in the thousandths place.

Since the digit in the thousandths place (3) is less than 5, the digit in the hundredths place (3) does not change.

The digits to the right of the hundredths place are dropped.

1.33333333 rounded to the nearest hundredth (two decimal places) = 1.33.

ANSWER ASAP For a ride on a rental scooter, Kevin paid an eight dollar fee to start the scooter +6 cents per minute of the ride. The total bill for Kevin’s ride was $14.36 for how many minutes did Kevin ride the scooter.

Answers

Answer:

106 seconds

Step-by-step explanation:

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU? Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU?

Answers

Answer:

The perimeter of rectangle RSTU is 20 units

Step-by-step explanation:

Given

Vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2).

To find

The perimeter of the RSTU

Solution

Plot the points, we see it is a rectangle.

Side lengths are:

RS = TU = 2 - (-4) = 6, the difference of x-coordinates,ST = RT = 2 - (-2) = 4, the difference of y-coordinates.

The perimeter is:

P = 2(l + w)P = 2(6 + 4) = 2(10) = 20 units

The perimeter of polygon RSTU is

How to find distance between straight line?

A straight line connects any two places with the smallest distance possible. The distance formula can be used to get this distance. It is possible to define the distance between two positions (x 1, y 1) and (x 2, y 2) as d=√(x2-x1)² + (y2 - y1)².

Distance between R and S is;

√(2+4)² + (2 - 2)²= 6 units

Distance between S and T is;

√(2-2)² + (-2 - 2)²= 4 units

Distance between T and U is;

√(-4+-2)² + (2 - 2)²= 6 units

Distance between T and U is;

√(-4+4)² + (2 + 2)²= 4 units

The total perimeter is of polygon is:

6+4+6+4 = 20 units

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Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. Who runs ata faster 2 3 1 3 speed – Maria or Althea? Explain your reasoning.

Answers

The fact that Maria runs of a mile every 8 minutes means that we runs faster.

How to calculate the speed?

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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What is the slope shown below?

Answers

Answer:

5/8

Step-by-step explanation:

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

22 Which inequality is equivalent to 7x - 2y > 8?
Fy> / x+8
8
5 y> - ²/x + ²
Hy< ²x -
3
4
417
<-²/x-4/
32

Answers

Inequality which  is equivalent to 7x - 2y > 8  x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex] and y <[tex]\frac{7x}{2} -4[/tex]

What is inequalities?

Equations don't always need to have a "equal to" symbol on both sides to be balanced. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.

7x - 2y>8

-2y > 8 -7x

=y <[tex]\frac{7x}{2} -4[/tex]

or

7x >2y + 8

=x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex]

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a researcher separated the people in a population into three political categories: democrat, republican, or independent. she then selected a random sample from each of these three groups. what kind of sample did she select?

Answers

The researcher makes use of stratified sampling method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of probability sampling method where the total population is segmented into homogenous groups to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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use the properties of vector addition and scalar multiplication from the following theorem. properties of vector addition and scalar multiplication in rn let u, v, and w be vectors in rn, and let c and d be scalars.

Answers

The set R^2  with x ≤ 0 and y ≤ 0 is not a vector space.

The 10th axiom  cv∈ V does not hold

Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:

1. u+ v ∈V

2. v + w = w + v

3. (u + v) + w = u + (v + w)

4. v + 0 = v = 0 + v

5. v + (−v) = 0

6. 1v = v

7. c(dv) = (cd)v

8. c(v + w) = cv + cw

9. (c + d)v = cv + dv

10. c v ∈V

Given the set of all vectors x, y in R^2  with x ≤ 0 and y ≤ 0

If the scalar c is such that  c<0 then c v ∉R^2as cv>0

Therefore, the 10th axiom is not satisfied and thus the set  R^2 with x ≤ 0 and y ≤ 0 is not a vector space.

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find perimeter and area of each triangle round to nearest hundredth 17. Scarlet made a dive off a 10-ft platform. Her height above the surface of the pool tseconds after leaving the platform can be modeled in the graph shown. Which of thesestatements is NOT true about Scarlet's dive?A. After 1 second, her height is 42 meters.B. She reaches her maximum height at 1.5C. Her maximum height is 46 meters.D. She hits the water at 3 seconds.O AOBO COD40302010123 Hamza is graphing the parabola represented by this equation. 3x-6y^2+6y=0The answer is below!!! # 14 If you have a tire blowout when driving on the highway, you should not use your brakes until... The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.A.-4B.25C.-18D.0 Darius is planning a presentation at the high school as part of the back-to-school week for new members of the student council. Darius wants to help inform new members about how to get involved in campus activities.Read the scenario. Then, select the best answer to each question below.What is the topic of Dariuss presentation?.Who is the intended audience of Dariuss presentation?.What is the purpose of the presentation?.What is the occasion of the presentatio which of the following molecules did William Prout NOT say was in urea? A tensile load of 190 kN is applied to a round metal bar with a diameter of 16mm and a gage length Of 50mm. Under this load the bar elastically deforms so that the gage length increases to 50.1349 mm and the diameter decreases to 15.99 mm. Determine the modulus of elasticity and Poisson s ratio for this metal. Write an equation and the answer.A certain number was multiplied by 5, then decreased by 3, then halved. The result was 0.3 less than the original number. What was the original number?Write in this format:If the original number is x, the equation will be _; x=_. can you please list 1-6 if they are rational irrational integer whole and natural How did the Great Depression change Americans ideas about proverty? PLEASE HELLLLP ME, SAT PREP QUESTION which one of the following is an important, mechanical weathering process for enlarging fractures and extending them deeper into large boulders and bedrock? Which respiratory function describes the exchange of oxygen and carbon dioxide in the cells?. 32 + 14 49 = 0solve for x Sketch a graph of 6 x + 4 y = 4 A 1500 kg car travels around a circular track at a constant speed. a) If the radius of the path is 200 m and the car is traveling at 45 m/s, how long does it take the car to do a lap around the track? b) What net force is acting on the car in the horizontal direction? c). What force keeps the car in a circular path? d). What is the coefficient of static friction between the cars tires and the road? In what way did centralized European governments fragment? How was Manorialism OR Feudalism a response to that need? Convert 21,510 ft to mi why did the greek historian Herodotus call egypt the gift of the nile