Attachment Mathswatchhhh!!!!!!!!! answer only no explanation

Attachment Mathswatchhhh!!!!!!!!! Answer Only No Explanation

Answers

Answer 1

Answer:

Option A is the correct answer

Step-by-step explanation:

Line is passing through the points (2, 0) and (0, - 3)

Gradient of line = (-3-0)/(0 - 2) = - 3/-2 = 3/2

Answer 2

Answer:

3/2

Step-by-step explanation:

3/2 is the gradient of the line


Related Questions

A firework rocket consists of a cone stacked on top of a cylinder where the radius of the cone and the cylinder are equal the diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in while the height of the cone is 3 in

Answers

Answer:

Surface area of the rocket = 76π

Step-by-step explanation:

Given:

Diameter = 8 in

Radius of cylinder = 4 in

Radius of cone = 4 in

Height of the cylinder = 5 in

Height of the cone = 3 in

Find:

Surface area of the rocket.

Computation:

Slant hight = [tex]\sqrt{4^2 + 3^2}[/tex]

Slant hight = 5 in

Surface area of the rocket = Surface area of cylinder + Surface area of cone + Area of circle

Surface area of the rocket = 2πrh + πrl + πr²

Surface area of the rocket = 2π(4)(5) + (π)(4)(5) + (π)(4)²

Surface area of the rocket = 40π + 20π + 16π

Surface area of the rocket = 76π

Find the converse of this statement: "If there is a given line then there is only one line parallel to it"

Answers

Answer:

"If there is only one line parallel, then there is only one given line."

Step-by-step explanation:

The general form of an if-then statement is:

pq

This implies that: "if p, then q".

Then the converse of this statement is:

qp

This implies that: "if q, then p".

The statement here is:

"If there is a given line, then there is only one line parallel to it"

The converse of this statement will be:

"If there is only one line parallel, then there is only one given line."

Between the years of 1947 and 1956, earthenware jars containing what are known as the Dead Sea Scrolls were found in caves along the coast of

Jerusalem in the Dead Sea. Upon radiometric testing, it was found that the scrolls were wrapped in material that contained about 79 percent of

the original carbon-14. Archeologists estimated that the scrolls are about 1,900 years old. Are they right?

Question 1

Using the half-life of carbon-14 (5,730 years), prove or disprove this estimate age. Describe how you are testing this hypothesis.

Answers

Answer:

They are right, the time calculated using the exponential decay equation is 1948.6 years.

Step-by-step explanation:

The time can be calculated using the exponential decay equation:

[tex]N_{(t)} = N_{0}e^{-\lambda t}[/tex]     (1)

Where:

N(t): is the quantity of C-14 at time t

N₀: is the initial quantity of C-14

λ: is the decay constant  

The decay constant is:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]   (2)    

By entering equation (2) into (1) and solving for t, we have:

[tex] t = \frac{t_{1/2}*ln(N_{t}/N_{0})}{ln(2)} = \frac{5730*ln(0.79)}{ln(2)} = 1948.6 y [/tex]

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.      

I hope it helps you!

Answer:

Step-by-step explanation:

Using the half-life equation, At = Ao (1 / 2) ^ t / h, the number of years (1,900) can be substituted for t and the half-life (5,730) can be substituted for h. Since the original amount is unknown but the remaining percent is known, any value can be used for the original amount. Using 100 will be the easiest. Plugging these values into the equation gives At=100 (1 / 2) ^1900 / 5730=79.47 remaining. If 79.47 of the original 100 units are left, that is 79.47 percent. Since radiometric dating estimates age, the archeologists’ hypothesis is correct.

Which of the following values is a solution of 2|2 – x| = 4? 10 2 –6 4

Answers

Answer:

4

Step-by-step explanation:

The left side  4  is equal to the right side  4 , which means that the given statement is always true. 2|2-4|=4

Please I need help I don’t know this.!
Given a right pyramid with base area B and height h, what does 1/3Bh
represent?
A. Surface area
B. Cross-sectional volume
C. Volume
D. Cross-sectional area

Answers

Answer:

C. Volume

Step-by-step explanation:

C. Volume  of a  right pyramid with base area B and height h, is

1/3Bh.

C & explanation ^ already said it

Which equation can be used to find one multiple of 16?
16=8= 2
16 = 4= 4
16 x0=0
16 x 2 = 32

Answers

Answer:

16x2=32

Step-by-step explanation:

A multiple of 16 is any number divisible by 16. Multiplying 16 by 2 creates a number divisible by 16 and 2, meaning it is divisible by 16.

16x2=32 32/16=2

A car made a trip of 352 miles on 16.8 gallons of gasoline. Which is closest to the number of miles per gallon the car got on that trip?

Answers

Answer: divide both numbers

Step-by-step explanation:

20.95

PLEASE HELP ME ASAP :(

1. Write the equation in slope intercept form. 4x-3y=12


2. Identify the slope and y-intercept.


3. Graph the line


4. Identify if it is a positive or negative slope.


Can you please help me ASAP ? And explain the steps

Answers

Step-by-step explanation:

y=4/3x+4

y int =4

x int = -1

the graph is an increasing graph line that touch 4 in y and -1 in x

m=4/3

WILL MARK BRAINIEST!!! 25 POINTS!!! The following box plot shows points awarded to dance teams that competed at a recent competition: Which dot plot best represents the box plot data?

Answers

Answer:

The correct option is the second option.

How to make a Box-and-whisker plot:

organize your data points from least to greatest.find the median (middle number), as this will also be our second quartile (we have four in total.)find the first and third quartiles by finding the median of both the lower and upper halves made from the numbers left over from your previous median.draw a plot line and mark your quartiles with vertical lines and box them in.mark your outliers, the smallest and largest numbers with dots and connect them to your box.

Solution explanation:

if you apply the rules of the boxplot above with both choices, the second lines up perfectly.

The sum of Sharon's and John's ages is . Sharon is times as old as John. If you let Sharon's age and John's age, then the problem can be represented by a system of equations. Which of the following shows a graph of this system and the solution to this problem?

Answers

Answer:

A

Step-by-step explanation:

Im pretty sure its A because

55ish plus 15ish equals 70 which is their ages combined

55-60 is also 4 x 15  

Graph A shows the system and solution to the system. Option A is correct.

The sum of Sharon's and John's ages is 70. Sharon is times as old as John. The system of equations regarding the problem is determined.


What is the equation?

The equation is the values of two expressions that are equal.

Let the age of Sharon's be x and Jhon's be y.
The sum of Sharon's and John's ages is 70.


x + y = 70  - - - - (1)


Sharon is times as old as John.

x = 4 y

Now put x = 4y in equation 1

4y + y = 70
5y = 70
y = 70/5
y = 14
Now put y = 14 in x = 4y
x = 4*14
x = 56


The solution of a system of equations is (14, 56) shown in graph 1.

Thus, graph A shows the system and solution to the system. Option A is correct.

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which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

Answers

Answer:

See attachment

Step-by-step explanation:

How many roots does this equation have?
x2 = 64 and OSX< +00

Answers

Answer:

69 obviously

Step-by-step explanation:

gosh

WILL GIVE BRAINLIEST, please help! Calculate JK if LJ = 39, JM = 80, and LM = 89 (Hint: Use proportions)

Answers

Answer:

≈ 18.46

Step-by-step explanation:

LJ = 39, JM = 80, and LM = 89

JK= x ⇒ KL= 39-x

JM/LM= x/(39-x)

80/89=x/(39-x)89x= 80*(39-x)89x+80x= 80*39169x= 3120x= 3120/169x≈ 18.46


Quadrilateral PQRS is mapped onto its image using which of the following sets of transformations?

Answers

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin  

Step-by-step explanation:

Assume that the mapping is like that in Fig. 1.

1. Reflection about x = -2

It looks like the first transformation is a reflection about the line x = -2

When you reflect a shape about a line, each point in the image is the same distance from the line of reflection as the corresponding point in the pre-image.  

The rule for reflection about a line x = h is (x,y) ⟶ (2h - x, y}

We can use the rule to calculate the coordinates of the first image.

[tex]\begin{array}{cc}\textbf{A} & \textbf{A"} \\(-5,5) & (1,5) \\(-2,5) & (-2,5) \\(-1,1) & (-3,1) \\(-4, 1) & (0,1) \\\end{array}[/tex]

2. Rotation 90° clockwise about the origin

It looks like the second transformation is a 90° clockwise rotation about the origin.

The rule is (x,y) ⟶ (y,-x).

In other words, interchange x and y and make x negative.

[tex]\begin{array}{cc}\textbf{A"} & \textbf{A'} \\(1,5) & (5,-1) \\(-2,5) & (5,2) \\(-3,1) & (1,3) \\(0, 1) & (1,0) \\\end{array}[/tex]

These are the coordinates of P'Q'R'S'.

Figure 2 shows the reflection of A across the line x = -2 to give A" and its rotation to give A'.

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin

Step-by-step explanation:

For what values (cases) of the variables the expression does not exist: a/a-b

Answers

Answer:

The cases are when a-b = 0 and when a = b

Step-by-step explanation:

An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0

If a - b = 0, then a = 0+b; a = b

Another case for the function not to exist is if a = b

3. Is this an arithmetic or a geometric sequence? 5, 10, 15, 20, 25, ...

Answers

Answer:

arithmetric

Step-by-step explanation:

the difference is so simple

Answer:

ARITHMETIC

Step-by-step explanation:

LA GEOMETRÍA ESTUDIA EL ESPACIO FÍSICO.

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?

A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.

Answers

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

the hawaiian alphabet has 12 letters. How many permutations are possible for five of these letters

Answers

Answer: The answer is 50980

Step by Step Explanation:

First, temporarily assume that two letters with I are different, call them i 1 and i 2. Three "a" are also called as a 1, a 2 and a 3, and two h as h 1 and h 2. Then there are 11 * 10 * 9 * 8 * 7 = 55440 possible "words" (one of 11 is the first letter, 10 is the second, and so on). But because equal letters do the same "words," some "words" were counted twice or more. We have to deduct the number of "parasitic" counts although it is fairly small. The words that counted more than once are divided into many disjoint sets: 1) with two I but without repetitions of a and h; 2) with two h but without repetitions of a and I 3) with two a but without repetitions of I and h; 4) with three a but without repetitions of I and h; 5) with two I and two a's; 6) two i's and tree a's; 7) two i's and two h's 8) two h's and two a's; 9) two h's and one tree. The first category includes terms counted twice and its scale is (5 * 4) * (6 * 5 * 4) = 2400 (the first I stays at one of the 5 positions, the second at one of the 4, then 11-2i-1h-2a=6). So we have 2400/2 = 1200 to subtract. Group 2 gives -600 as well, and group 3 also. Group 4 gives * (6 * 5) = 1800 (5 * 4 * 3), and the terms are counted 6 times, -300. Groups 5, 7 , 8: 5 * 4 * 3 * 2 * 6 = 720 and counted four times, therefore -180. Group 6 and 9: 5 * 4 * 3 * 2 * 1 = 120, with 12 counts, -10. Altogether -(1200 * 3 + 300 + 180 * 3 + 10 * 2) = -4460.The answer will be 55440-4460 = 50980.

The number of permutations which are possible with the five letters of HAWAIIAN is 1488.

What is permutations?

It is the number of times a word can be arranged in a defined order. to calculate the number of permutations we often use nPr formula which states n!/(n-r)!

How to calculate the permutations?

We are total 12 letters in the word hawaiian and letters in the alphabet for which permutations need to be calculated are 5. So the number of permutations are:

12P1+12P3+12P2+12P1+12P1

=12!/11!+12!/9!+12!/10!+12!/11!+12!/11!

=3*12*11!/11!+12*11*10*9!/9!+12*11*10!/10!

=36+1320+132

=1488

Hence the number of permutations in the word hawaiian for the 5 letters is 1488.

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The ratios of corresponding sides in the two triangles are equal.


Triangles F G E and I J H are shown. The length of side G F is 15 and the length of side I J is 10. The length of F E is 30 and the length of I H is 20.


What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem?


∠F ≅ ∠J

∠I ≅ ∠F

∠E ≅ ∠H

∠G ≅ ∠I

Answers

Answer:

∠I ≅ ∠F

Step-by-step explanation:

Since, F is common vertex in the sides GF and FE of triangle FGE and I is common vertex in the sides IJ and IH of triangle IJH.

Hence, ∠I ≅ ∠F will be the required information to prove that △FGE ~ △IJH by the SAS similarity theorem.

The other information needed to prove that △FGE ~ △IJH by the SAS similarity theorem will be  ∠I ≅ ∠F

Similarity theorem of a triangle

The ratio of similar sides of similar triangles are equal.

According to the given question, the angle F serves as a common vertex with the sides GF and FE of triangle FGE and also I serve as the common vertex with the sides IJ and IH of triangle IJH.

The other information needed to prove that △FGE ~ △IJH by the SAS similarity theorem will be  ∠I ≅ ∠F

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what types of correlation would be expected between distance run and calories burned? would this relationship be casual - positive correlation, not casual - positive correlation, casual - negative correlation, not casual - negative correlation, casual

Answers

Answer:

It's  the first choice - causal, positive correlation.

Step-by-step explanation:

The further you run the more calories you will burn so there is a positive correlation here.

The relationship between distance run and calories burned is generally expected to be causal and positive, but it may be influenced by various individual and contextual factors.

Here, we have,

The relationship between distance run and calories burned is expected to exhibit a causal - positive correlation. This means that as the distance run increases, the calories burned are also expected to increase. The more someone runs, the more energy they expend, leading to a higher calorie burn.

However, it's important to note that while this relationship is expected to be causal and positive, there can be individual variations. Factors such as an individual's weight, metabolism, running efficiency, and other physiological factors can influence the calorie burn. Additionally, other factors such as running speed, terrain, and intensity of the run can also affect the relationship.

In summary, the relationship between distance run and calories burned is generally expected to be causal and positive, but it may be influenced by various individual and contextual factors.

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The population, P in thousands of a resort community is shown by


P(t)= 500t/2t^2+9'


where t is the time in months since city council raised property taxes.

Find the interval on which the population was 40,000 or greater

Answers

Answer:

t ≤ 4.24

Step-by-step explanation:

P(t) ≥ 40000 implies

500t/(2t²+9) ≥ 40000

Multiplying through by t², we have

500t ≥ 40000(2t²+9)

500t/40000 ≥ 2t²+9

Collecting like terms

0.0125t  ≥ 2t²+9

0  ≥ 2t²+ 9 - 0.0125t

2t²+ 9 - 0.0125t  ≤ 0

2t²- 0.0125t + 9 ≤ 0

Using the quadratic formula,

[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]

The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)

So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0

(t - 0.00313)² - 4.24² ≤ 0

(t - 0.00313)² ≤ 4.24²

taking square-root of both sides,

√(t - 0.00313)² ≤ √4.24²  

t - 0.00313 ≤ 4.24

t ≤ 4.24 + 0.00313

t ≤ 4.24313 ≅ 4.24

t ≤ 4.24

The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?

Answers

Answer:

Grocery Giant has the better price for the pineapple.

Step-by-step explanation:

Superway Store

3 cans of pineapple is 2.25

Grocery Giant

6 cans of pineapple is 4.80

Superway Store 6 cans is 2.25 + 2.25 = 4.50

Which means that Superway Store is cheaper by 30 cents

Grocery Giant because it has the better deal

Find the range of value of x for which: x-3/x+3>0

Answers

answer x>1/2 (sqrt(21) - 3)

x>0.791288

yooo plz help me w dis asap!! marking brainiest!!

Answers

Answer:

B.

Step-by-step explanation:

1) The parabola 1 unit up, so it should be +1. A or B.

2) The parabola is opening up, so it will have positive coefficient. 0.2. This is B.

HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!

Answers

Answer:

the second choice

Step-by-step explanation:

if <A is equal to <e then <d and <b are equal becuase the angles dont change when you change the lengths of the lines

Answer:

2nd choice

Step-By-Step Explanation:

100 points!!! Please full out all of these ASAP!!! Please show work!!!

Answers

Answer:

look below

Step-by-step explanation:

y = 2 (x + 3)^2 - 2

Geometric figure:  parabola

Alternate forms:

y = 2 (x + 2) (x + 4)

y = 2 (x^2 + 6 x + 8)

-2 x^2 - 12 x + y - 16 = 0

Expanded form:

y = 2 x^2 + 12 x + 16

Roots:

x = -4

x = -2

Properties as a real function:

Domain - R (all real numbers)

Range - {y element R : y>=-2}

Partial derivatives:

d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)

d/dy(2 (x + 3)^2 - 2) = 0

Implicit derivatives:

(dx(y))/(dy) = 1/(12 + 4 x)

(dy(x))/(dx) = 4 (3 + x)

Global minimum:

min{2 (x + 3)^2 - 2} = -2 at x = -3

Answer:

hi

Step-by-step explanation:

i would appreciate if someone helped. i don't understand

Answers

Answer:

44 units

Step-by-step explanation:

When you perform a dilation on a figure, all of the side lengths of the figure get multiplied by the scale factor. This means that the perimeter is also multiplied by that scale factor. Since in this case that scale factor is 2, the new perimeter is 22*2=44 units. Hope this helps!

Answer:

44 units.

Step-by-step explanation:

Dilation is the transformation of an image's size by a scale factor.

The scale factor is given 2.

The rectangle has a perimeter of 22.

22 × 2 = 44

The perimeter for the resulting image is doubled by the scale factor of 2.

PLEASE HELP! ONLY ANSWER IF YOU KNOW! 100 POINTS
A cup of hot coffee will, over time, cool down to room temperature. The principle of physics governing the process is Newton's Law of Cooling. The temperature (in degrees Fahrenheit) of a cup of coffee can be modeled by the following equation:

f(t)=80+120e^(-0.08t)


Here the time t is measured in minutes after the coffee was poured into the cup.

a) Explain, using the structure of the expression 80+120e^(-0.08t), why the coffee temperature decreases as time elapses (8 points).

b) What is the temperature of the coffee at the beginning of the experiment (7 points)?

c) Drinking coffee at 175 degrees can possibly burn your tongue. After waiting for 2 minutes, Leo became impatient and decided to drink the coffee. Will he be alright (7 points)?

d) The ideal temperature to drink coffee is between 120 to 140 degrees, as many of the more subtle flavors of coffee are revealed. When is the best time for Leo to drink coffee (8 points)?

Answers

Answer:

a

Step-by-step explanation:

  

The only part of the expression representing f(t) involving the variable t is the exponential e−0.08t. Since the coefficient of t in the exponent, −0.08, is negative, the values of f(t) decrease as time passes. Thus the temperature of the coffee decreases as time elapses. This is appropriate as we know from experience that over time the coffee will cool down to room temperature: In this case, the 75 in the expression representing f(t) is the ambient room temperature in degrees Fahrenheit.

The beginning of the experiment is when the time variable t takes the value zero: Since

f(0)=110e−0.08⋅0+75=110+75=185,

the initial temperature of the coffee is 185 degrees Fahrenheit, a little less than the boiling temperature of water.

To find when the coffee is 140 degrees we want to solve

f(t)=110e−0.08t+75=140.

Subtracting 75 from both sides and then dividing both sides by 110 gives

e−0.08t=65110.

By the definition of the natural logarithm, this gives

−0.08t=ln(65110).

Dividing both sides by −0.08 gives a value of about 6.6 minutes for the coffee to cool to 140 degrees.

The same reasoning gives, as an expression for the time when the coffee has cooled to 100 degrees,

ln(25110)−0.08.

This is about 18.5 minutes. sorry if i forgot to put "/" for fractions

IS ANYONE HERE GOOD AT CALCULUS?? IF SO, PLEASEEEE HELP ME!!!! An object’s velocity at time t is given by v(t) = –2 sin t. Let s(t) represent the object’s position at time t. If s(0) = 0, then s(t) = A) 2 cos t. B) –2 cos t. C) 2 cos t – 2. D) –2 cos t + 2.

Answers

Answer: C

Step-by-step explanation:

Since we are given velocity, which is the first derivative, we have to fidn the antiderivative of velocity to get position.

∫-2sint dt

s(t)=2cos(t)+C

Since we are given s(0)=0, we can plug in the values to find C, constant.

0=2cos(0)+C

0=2(1)+C

0=2+C

C=-2

Now that we know our constant, we can find out position.

s(t)=2cos(t)-2

Answer:

Sorry this is not an answer but it wouldn't let me comment go you friend me or something so we can work on calculus together

Step-by-step explanation:

PLEASE HELP ASAP!!
If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)

Answers

Answer:

x2+5x/2 -4

Step-by-step explanation:

f(x) = 2x+3 and g(x) = x^(2)+(x)/(2) - 7 , what is  (f+g)(x)

x^2+5x/2-4

Other Questions
A grasshopper sits on the first square of a 1N board. He can jump over one or two squares and land on the next square. The grasshopper can jump forward or back but he must stay on the board. Find the least number n such that for any N n the grasshopper can land on each square exactly once. If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible? Find the following measure for this figure.Volume = "The Birthplace." Then, identify and describe the main kind of figurative language that's used in the poem. Finally, discuss how this use of figurative language contributes to the poem's meaning. In 2019, Willow Corporation had three employees. Two of the employees worked full-time and earned salaries of $25,000 each. The third employee worked only part-time and earned $4,000. The employer timely paid state unemployment tax equal to 5.4 percent of each employee's wages up to $7,000. How much FUTA tax is due from Willow Corporation for 2019, after the credit for state unemployment taxes evaluate 0.53n + 5 when n= 3 and when n= -3 During the D-Day landings, which invading forces met the greatest resistance?O the British at Swordthe Germans at Junothe Americans at Omahathe Soviets at Utah pls answer and u will get banliest A 40-kN axial load is applied to a short wooden post that is supported by a concrete footing resting on undisturbed soil. Determine (a) the maximum bearing stress on the concrete footing, (b) the size of the footing for which the average bearing stress in the soil is 145 kPa. Solve the inequality 3(x + 2) > 0. An investment offers $9,600 per year for 16 years, with the first payment occurring 1 year from now. Assume the required return is 12 percent. Requirement 1: What is the value of the investment? (Do not include the dollar sign ($). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) Value of the investment $ Requirement 2: What would the value be if the payments occurred for 41 years? (Do not include the dollar sign ($). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations.Round your answer to 2 decimal places (e.g., 32.16).) Value of the investment $ Requirement 3: What would the value be if the payments occurred for 76 years? (Do not include the dollar sign ($). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations.Round your answer to 2 decimal places (e.g., 32.16).) Value of the investment $ Requirement 4: What would the value be if the payments occurred forever? (Do not include the dollar sign ($). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations.Round your answer to 2 decimal places (e.g., 32.16).) Value of the investment $ help please :) thank you. Biologists think early eukaryotic cells might have formed from prokaryoticcells thatA. had a flexible outer cell membrane instead of a stiff cell wallB. gradually developed a stiff outer cell wall for protectionc. already had a nucleus instead of one circular chromosomeD. were inside larger predatory cells called bacteria A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship. Gas Mileage Distance Traveled (miles) Gasoline Used (gallons) 22 1 44 2 x 3 88 4 Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown? StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 2 EndFraction StartFraction 1 over 22 EndFraction = StartFraction x over 3 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 3 EndFraction A restaurant chain is measuring the levels of arsenic in chicken from its suppliers. The question is whether there is evidence that the mean level of arsenic is greater than 80 ppb, so we are testing vs , where represents the average level of arsenic in all chicken from a certain supplier. It takes money and time to test for arsenic so samples are often small. A sample of chickens from one supplier is tested, and the resulting sample mean is . Subtracting 11 from the sample data to move the mean down to the null mean of results in the following data: .57, 64, 70, 82, 84, 123 Use StatKey or other technology to create the randomization distribution for this test. Find the p-value. Determine the intercepts, youll be given an options for your answer please explain why you chose his answer:) X intercept Options A.(-2,14) B.(-1,0) C.(0,2) D.(1,4)Y intercept OptionsA.(-2,14) B.(-1,0) C.(0,2) D.(1,4)Thank you:) The wheels of a skateboard roll without slipping as it accelerates at 0.40 m/s2 down an 85-m-long hill. Part A If the skateboarder travels at 1.8 m/s at the top of the hill, what is the average angular speed of the 2.6-cm-radius wheels during the entire trip down the hill Lenders rely on credit scores to determine _____. loan repayment length all terms of a loan risk loan amounts An electric utility is considering a new power plant in northern Arizona. Power from the plant would be sold in the Phoenix area, where it is badly needed. Because the firm has received a permit, the plant would be legal; but it would cause some air pollution. The company could spend an additional $40 million at Year 0 to mitigate the environmental Problem, but it would not be required to do so. The plant without mitigation would cost $209.71 million, and the expected cash inflows would be $70 million per year for 5 years. If the firm does invest in mitigation, the annual inflows would be $75.84 million. Unemployment in the area where the plant would be built is high, and the plant would provide about 350 good jobs. The risk adjusted WACC is 17%.a) Calculate the NPV and IRR with and without mitigation.b) How should the environment effects be dealt with when evaluating this project?c) Should this project be undertaken? If so, should the firm do the mitigation? Journalize the following merchandise transactions. The company uses the perpetual inventory system.a. Sold merchandise on account, $17,300, with terms 2/10, net 30. The cost of the goods sold was $12,600.Sale Accounts Receivable Cost of Goods Sold Cost Inventory Cash b. Received payment within the discount period.Sales Accounts Receivable Are these categories and $ amounts correct?