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In which quadrants do solutions for the inequality y is greater than one fifth times x plus 3 exist?

I and II
I, II, and III
I, III, and IV
All four quadrants

Answers

Answer 1
Final answer:

The solutions for the inequality y > (1/5)x + 3 exist in Quadrants I and II.

Explanation:

The inequality y > (1/5)x + 3 represents a line with a positive slope of 1/5.

The solutions for this inequality exist in the quadrants where y is greater than the value of (1/5)x + 3.

When x is positive and y is positive, the solutions exist in Quadrant I. When x is negative and y is positive, the solutions exist in Quadrant II.

Since the inequality is y > (1/5)x + 3 and not y >= (1/5)x + 3, the solutions do not exist in Quadrant III or IV where y would be negative.

Therefore, the solutions for the inequality y > (1/5)x + 3 exist in Quadrants I and II.

Learn more about Quadrants here:

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Related Questions

which expressions are equivilant to 3x+3(x+y)​

Answers

Step-by-step explanation:

3×+3(x+y) is equal to 6x+3y

10 POINTS!!
Suppose a snow cone has a paper cone that is 8 centimeters deep and has a diameter of 5 centimeters. The flavored ice comes in a spherical scoop with a diameter of 5 centimeters and rests on top of the cone. If all the ice melts into the cone, will the cone overflow? Explain.

Answers

Answer:

D

Step-by-step explanation:

We require to calculate the volume (V) of the cone and sphere.

The volume of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus

V = [tex]\frac{1}{3}[/tex]π × 2.5² × 8 ≈ 52.36 cm³

The volume of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus

V= [tex]\frac{4}{3}[/tex]π × 2.5³ ≈ 65.45 cm³

Since volume of the sphere is greater than the volume of the cone

Thus when the ice cream melts it will overflow → D

Question 1 of 5
2 Points
What is the simplified fractional equivalent of the terminating decimal 0.25?
O
O A.
CINNICT
O
O c. 1
O D. 25
SUBMIT

Answers

Answer:

The simplified fractional equivalent is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

we know that

A terminating decimal is a decimal that ends. So, it's a decimal with a finite number of digits.

we have

[tex]0.25[/tex]

Let

[tex]x=0.25[/tex]

Multiply by 100 both sides

[tex]100x=25[/tex]

Divide by 100 both sides

[tex]x=\frac{25}{100}[/tex]

Simplify

Divide by 25 both numerator and denominator

[tex]x=\frac{1}{4}[/tex]

Help asap, can't figure this out.

Answers

Answer:

B. 70

Step-by-step explanation:

[tex]7 \div 12 = \frac{7}{12} \\ 120 \times \frac{7}{12} = 70[/tex]

Answer:

B

Step-by-step explanation:

Given that for every 12 seeds, 7 grew into plants

Then for 120 seeds, that is 120 ÷ 12 = 10 times as many seeds, thus

number growing into plants = 10 × 7 = 70 → B

Zolt Inc. (zolt) stock is selling for $8.22 per share with an EPS of .45 cents per share. What is Zolt's PE ratio? (Round to nearest tenth.)


rev: 09_19_2013_QC_35406


18.3

19.5

8.3

20.0

None of these

Answers

Answer:

18.3 ( when EPS is 45 cents), otherwise there is none of these

Step-by-step explanation:

PE = Current Price / EPS

current Price = $ 8.22 = 822 cents

EPS = .45 cents (?) ... is it 45 cents ?

if it is 45 cents : PE = 822 / 45 = 18.26 ≈ 18.3

The required PE ratio of the Zolt's is given as 18.3. Option A is correct.

Given that,
Zolt Inc. (zolt) stock is selling for $8.22 per share with an EPS of .45 cents per share.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

PE = Current Price: EPS
PE = Current Price / EPS

Current Price = $ 8.22 = 822 cents

EPS = 0.45 cents = 45 cents

it is 45 cents per PE
So Ratio = 822 / 45 = 18.3

Thus, the required PE ratio of the Zolt's is given as 18.3. Option A is correct.

Learn more about ratios here:

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plz hurry!!!! thank you!!!!

Answers

Answer:

∠A ≈ 19.47°

Step-by-step explanation:

As you know , the angle that tangent makes with the radius at the point of tangency is 90°.

∴∠OKA = 90°

As  AO = 15 and OK = 5 ,

[tex]sin(A) = \frac{OK}{AO}[/tex]

[tex]sin(A) = \frac{5}{15} [/tex]

[tex]sin(A) = \frac{1}{3} [/tex]

∠A = [tex]sin^{-1} (\frac{1}{3} )[/tex]

∠A ≈ 19.47°

Answer:

[tex]\mathbf{m\angle A = sin^{-1}(\frac{1}{3}) \approx 19.47^{\circ}}[/tex]

Step-by-step explanation:

This question involves some basic knowledge of trigonometric function. The following formula only works for right angled triangles.

[tex]\mathbf{sin(x) = \frac{perpendicular}{hypotenuse}}[/tex]

In ΔAKO,

m∠AKO = 90°

Therefore ΔAKO is a right angled triangle. If we take ∠A into consideration then base will be AK, perpendicular will be OK and hypotenuse will be AO.

AO = 15

OK = 5

[tex]\therefore \mathrm{sin(\angle A) = \frac{OK}{AO} = \frac{5}{15} = \frac{1}{3}}[/tex]

[tex]\mathrm{sin(\angle A)=\frac{1}{3}}[/tex]

[tex]\mathrm{\angle A=sin^{-1}(\frac{1}{3})}[/tex]

To calculate [tex]\mathrm{sin^{-1}(\frac{1}{3})}[/tex] use scientific calculator

value of [tex]\mathrm{sin^{-1}(\frac{1}{3})}[/tex] is approximately equal to 19.47°

Therefore [tex]\mathbf{m\angle A \approx 19.47}[/tex]

(NOTE : When a line passing through center of a circle, is drawn to a tangent at the point of tangency then the angle made between then is 90°

Therefore m∠AKO = 90°)

Solve the following system of equations graphically: y=3x+4 and y=-2x-5

Answers

Answer:

  (x, y) = (-1.8, -1.4)

Step-by-step explanation:

Modern graphing calculators make it trivially simple to solve many problems by graphing. It has become my favorite method.

The graph shows the solution to be (x, y) = (-1.8, -1.4).

___

If you're graphing by hand, it is usually convenient to start with the y-intercepts, then draw the lines with the required slopes. These equations are written in slope-intercept form, making that approach relatively simple.

The first equation has a y-intercept of (0, 4) and a slope of 3. So, another point on the graph will be left 1 and down 3 (as opposed to right 1 and up 3). That point is (-1, 1).

The second equation has a y-intercept of (0, -5) and a slope of -2. So, another point on the graph of that will be left 1 and up 2, to (-1, -3)

7. Nick’s youth group has 20 regular students that attend weekly get togethers. They saved up enough money for each person to go swimming 10 times each with the daily pay plan. After they saved that amount, they found out they can use the early pay plan and save money. They plan to donate their savings to the church since it’s in need of a new sound system. How much money will they be able to donate with the savings from all 20 youth? (Please show all your work for full credit)
WILL GIVE BRILIEST

Answers

Answer:

If each youth saves $10 daily, their weekly savings would be $1400. So they donated $1400 to the church.

Step-by-step explanation:

Let the daily pay plan for each youth be $y

Daily pay plan for 20 youth = $20y

Weekly pay plan = 7×20y = $140y

Assuming each youth saves $10 daily

Daily savings for 20 youth = 20×$10= $200

Weekly savings for 20 youth = 7×$200= $1400

If they used the early pay plan ($140y) to go swimming, they saved $1400 which they donated to the church.

Answer:

$375 saved or roughly 33%.

Step-by-step explanation:

With daily plan;

(15)4.00 = 60.00  

(25)60.00 = $1,500.00

If the youth group saved up enough for each of them to swim 15 times and 25 students are attending, they originally had $1,500.00 saved for the trip.  

With early pay;

(25)45.00 = $1,125.00

1,500.00 - 1,125.00 = $375 saved or roughly 33%.

Hope this helps! And please, do not copy-paste this answer. Write it in your own words, thanks <33

A high school drama club is putting on their annual theater production there is a maximum of 800 tickets for the show the cost of the tickets are six dollars before the day of the show and nine dollars on the day of the show to meet the expenses of the shelf book club must sell at least $5000 worth of tickets

Answers

Answer:

Step-by-step explanation:

a.) Let x be the number of tickets sold before the event and y the number of tickets sold on the day of the event. Then x + y =< 800 and 6x + 9y >= 5000. (b.) Suppose the club sold 440 tickets before the event, i.e. x = 440, maximum number of tickets remaining to be sold = 800 - 440 = 360. Maximum amount realized from the sales supposing all tickets were sold = 6(440) + 9(360) = 2640 + 3240 = $5880 which is greater than $5000. Therefore, it is possible for the club to sell enough additional tickets on the day of the show to meet the expenses of the show.

HOPE THIS HELPED ;3

Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?

Answers

Answer:

The two numbers are

518

694

Step-by-step explanation:

As per requirements the two equations will be

X+Y=1212

X-Y=518

When we subtract these equations we get

X=1212-518

X=694

Now put the X value and find the Y value in any equation

X+Y= 1212

Y=1212-X

Where X = 694

Y=1212-694

Y=518

X=694 and Y=518

Answer:

answer is 865.

Step-by-step explanation:

865+347 is 1212 an the diff is 518.

and the largest number out of 865 and 347 is 865

Erica says that 1/5 of the national flag of Thailand shown on the right is blue. what’s wrong?

Answers

Answer:

The blue portion of the flag is actually 2/6 or 1/3 of the flag

Step-by-step explanation:

If you look at the size of the blue portion of the line it takes up twice the space as the white part. Imagine a small line drawn through the middle of the blue rectangle, now you can see that the flag is split up into 6 parts, rather then 5! Since we now have 2/6 of the flag being taken up by blue, that can be reduced down to 1/3 of the flag covered in blue.

This table gives a few (z,y) pairs of a line in the coordinate plane.
-56 66
-42 58
-28 50
What is the y-intercept of the line?

Answers

Answer:

The y-intercept of the line is 34.

Step-by-step explanation:

There are few points on the z-y plane through which a straight line passes.

The points are (-56,66), (-42,58) and (-28,50).

Now, take the first two points to get the equation of the straight line.

The equation is [tex]\frac{y - 58}{58 - 66} = \frac{z - (-42)}{-42 - (- 56)}[/tex]

⇒ [tex]\frac{y - 58}{- 8} = \frac{z + 42}{14}[/tex]

⇒ 14(y - 58) = - 8(z + 42)

⇒ [tex]y - 58 = - \frac{8}{14}z - 24[/tex]

⇒ [tex]y =  - \frac{8}{14}z + 34[/tex]

This equation is in slope-intercept form.

Hence, the y-intercept of the line is 34. (Answer)

If w=45,what is the value of 2(w-7)

Answers

Answer:

76

Step-by-step explanation:

if w=45, you'd get 2(45-7) by replacing the variable (w) with its value (45)

so first you'd distribute 2 to the 45 and the 7

now it'd be:

90-14=76

so the answer would be 76! :)

Answer:

The answer is 76

Step-by-step explanation:

First you swap in the number like so: 2(45-7)

Then you figure out what's is the parentheses first going with PEMDAS like so : 2(38)

Finally you multiply the number getting your final answer which is :76

Slope is 4 and (4,6) is on the line

Answers

Answer:

y-6=4(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=4(x-4)

Whats the Answer y=10 4x-5y=3

Answers

4x-5y=3
4x-5(10)=3
4x-50=3
+50 +50
4x=53
/4 /4

x=53/4

write the equation of a line that passes through the point -5,-4 and has a slope of 1/5.

Answers

Here is the answer for ur question

Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis?

Answers

Answer: [tex]2z^{2} + 14 z +6[/tex] and [tex]2(z^{2} + 7 z +3)[/tex]

Step-by-step explanation:

We have the following expression:

[tex]z+(z+6)z+(z+6)z+(z+6)[/tex]

Let's solve it:

[tex]z+z^{2}+6z+z^{2}+6z+z+6[/tex]

We have this result:

[tex]2z^{2} + 14 z +6[/tex]

However if we apply coomon factor 2, we will have a simplified result:

[tex]2(z^{2} + 7 z +3)[/tex]

Ava and Addison are saving for a new cell phone. Ava is starting at 100$ and adding 5$ each week.Addison is starting with 200$ and is adding 4$ each week. Write and solve a problem that can be used to find out after how many weeks Ava and Addison will have the same amount of money saved?

Answers

Answer:

The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks .

Step-by-step explanation:

Given as :

The amount of money having with Ava at starting = $100

The money that Ava is saving each week = $5

The amount of money having with Addison at starting = $200

The money that Addison is saving each week = $4

Now, Let The numbers of weeks for which both Ava and Addison have same amount of money saved = n weeks

Now, According to question

The amount of money having with Ava at starting + (The money that Ava is saving each week × numbers of weeks) = The amount of money having with Addison at starting + (The money that Addison is saving each week × numbers of weeks)

Or, $100 + $5 × n = $200 + $4 × n

Or, $5 × n - $4 × n = $200 - $100

Or, n = 100

So,  The numbers of weeks for which both Ava and Addison have same amount of money saved = n = 100 weeks

Hence,The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks . Answer

Factor the expression 3x2 + 2x - 8

Answers

Answer:

(3x − 4) (x + 2)

Step-by-step explanation:

3x² + 2x − 8

Factor using AC method.

3 × -8 = -24

Factors of -24 that add up to 2 are -4 and 6

Divide by 3 and reduce: -4/3 and 6/3 = 2/1

(3x − 4) (x + 2)

Which are equivalent ratios to 7:13?

Answers

Answer:

14:26, 21:39, 28:52, 35:65, 42:78, 41:91

Step-by-step explanation:

All of the above are equivalent ratios. These are only a few. More can be found by just simply multiplying 7 by any amount, and 13 by any amount.

Ratios that are equivalent to 7:13 from the given options are 21:39, 28:52, and 14:26. Option A, C, D is correct.

To find equivalent ratios, we need to multiply or divide both terms of the ratio by the same non-zero number. Let's go through the options provided:

21:39 - If we divide both terms by 3, we get 7:13, which means this is an equivalent ratio.72:128 - If we divide both terms by 8, we get 9:16, which is not equivalent to 7:13.28:52 - If we divide both terms by 4, we get 7:13, which means this is an equivalent ratio.14:26 - If we divide both terms by 2, we get 7:13, which means this is an equivalent ratio.36:48 - If we divide both terms by 6, we get 6:8, which simplifies to 3:4. This is not equivalent to 7:13.

Therefore, the equivalent ratios are 21:39, 28:52, and 14:26.

Hence, A. C. D is the correct option.

The complete question is:

Which are equivalent ratios to 7:13?

A) 21:39

B) 72:128

C) 28:52

D) 14:26

E) 36:48

line m passes through the points -2,7 and 4,-5 as shown below.

Answers

Answer:

y=-2x

Step-by-step explanation:

Answer:

y+2x=8

Step-by-step explanation:

when you put this in slope intercept form it will equal y=-2x+8 . Parallel lines need to have the same slope

What is the quotient of ã and
?
What is the quotient of 3/4 and 5/6?

Answers

Answer:

9/10 ( or 0.9)

Step-by-step explanation:

quotient of 3/4 and 5/6

= 3/4 ÷ 5/6

= 3/4 x 6/5

= 18/20

= 9/10 ( or 0.9)

Answer:

9/10

Step-by-step explanation:

Si n es un número impar,¿ cual de las siguientes opciones representa un numero par? a) 2n +1 b) n(n+2) c) n+(n-1) e) 2(n+1)

Answers

Answer: e) 2(n+1)

Step-by-step explanation:

De las opcionas dadas, e) 2(n+1) es la correcta.

Empecemos por explicar la siguiente regla:

(número par)(número par)=número par

(número par)(número impar)=número par

(número impar)(número impar)=número impar

Ahora bien, en la expresión  2(n+1) el resultado de lo que se encuentra dentro del paréntesis va a ser multiplicado por 2, el cual es un número par, por lo tanto el resultado final va a ser un número par independientemente de si lo que está en el paréntesis es par o impar.

Por ejemplo, si elegimos 1 que es impar:

2(1+1)=2(2)=4

El resultado es par.

Si probamos con las otras opciones, los resultados serán impares:

a) 2n +1

2(1)+1=2+1=3 impar

b) n(n+2)

1(1+2)=1(3)=3 impar

c) n+(n-1)

1+(1-1)=1+0=1 impar

Which is the quotient of 3.12÷6.5 a 0.0 48B 0.48C 4.8 D 48

Answers

Answer:

B

Step-by-step explanation:

Quotient means divide. I just used a calculator to divide it.

Find an ordered pair ( x, y ) that is a solution to the equation. 3x+y=7

Answers

Answer:

2,1

Step-by-step explanation:

y=-3x+7

y=-3(2)+7

y=-6+7

y=1

so (2,1)

(SAT Prep) In the given figure, find x for which a ∥ b?

A. 50° B. 65° C. 75° D. 95°

Please explain your answer, and thanks in advance :)

Answers

Answer:

x= 65 degrees

Step-by-step explanation:

If the triangles vertices are marked CDE (d as the right angle and c as the leftmost vertex) then:

Alternate interior angles

⇒m∠ACE=85 degrees

m∠ACD=25 and  m∠ACD+m∠DCE=m∠ACE=85 degrees

⇒ 25 + m∠DCE= 85 ⇒ m∠DCE=60 degrees

Since the sum of the angles in a triangle is 180 degrees

⇒ 60 + 90 + m∠DEC = 180 ⇒ m∠DEC= 30 degrees

Finally, since ∠BEC is supplementary to the given 85 degree angle

⇒ 30 + 85 + x = 180 ⇒ x=65

Answer:

[tex]\huge\boxed{x = 65 \ \text{degrees}}[/tex]

Step-by-step explanation:

We can use angle relationships to find the measure of [tex]x[/tex] here.

Let's assume that the triangle has the points ABC, where m∠a is the leftmost angle, m∠b is the right angle, and m∠c is the rightmost angle (I've labeled it in the attached picture).

We have to realize here that a and b are parallel lines. This means that the angles on one side will be equivalent to the other as long as the triangle in the center is symmetrical along both.

It's not. However, we can make it symmetrical by realizing that the 85° angle is the exact same as Line A AC. These are alternate interior angles, meaning their angle measurements will be the same. So Line A A C is also 85°.

Line A A C covers the area even in the triangle. Since we know the total measure and the measure outside the triangle, we can find the measure of m∠a.

[tex]25 + a = 85\\\\a = 85-25\\\\a = 60[/tex]

Now we know that m∠a is 60°. We also know that m∠b is a 90° angle. All triangle angles add up to 180°. Since we know two out of the three, let's find the measure of m∠c by adding up what we know and subtracting from 180.

[tex]60+90+c=180\\\\150+c=180\\\\c=180-150\\\\c=30[/tex]

Now that we know m∠c, we can note that the 85° angle, m∠a, and x are supplementary. This means their angle lengths add up to 180°. Since we know two out of the three, we can do a process similar to finding the missing triangle angle.

[tex]85+30+x=180\\\\115+x=180\\\\x=180-115\\\\x = 65[/tex]

Therefore, x is 65°.

Hope this helped!

What is 20 minus 5 as distributive property

Answers

Answer:

5(4-1)

Step-by-step explanation:

5(4-1)

20-5

5x4= 20

5x1= 5

a line intersects the points (13,-4) and (1,12).Find the slope and simplify completely

Answers

Answer:

4/-3

Step-by-step explanation:

To find the slope

y2 - y1 / x2 - x1 =

12 - -4          16

---------- =     ----

1 - 13           -12

Simplify by dividing both parts by 4

4/-3 is your slope :)

Answer:

Step-by-step explanation:

I've answered this question already.

What is the equation of a line that passes through points (0,4) and (-4,-8)? Y=2x+4, y=2x-4, y=3x+4, y=3x-4

Answers

Answer:

(-8 - 4)/(-4 - 0) = -12/-4= 3

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y = 3x + 4

the answer is c

Solve 4^(x+2) = 12 for x using the change of base formula log base b of y equals log y over log b.

Answers

Answer:

[tex]x \approx -0.208[/tex]

Step-by-step explanation:

By applying logarithms to each side of the equation and some algebraic handling:

[tex]x+2 = \log_{4} 12[/tex]

[tex]x + 2 = \frac{\log_{10} 12}{\log_{10} 4}[/tex]

[tex]x = \frac{\log_{10}12}{\log_{10}4} - 2[/tex]

[tex]x \approx -0.208[/tex]

Final answer:

To solve the equation

[tex]4^{x+2} = 12[/tex]

for x, you can use the change of base formula log base b of y equals log y over log b. By following the steps, you should find the solution to be x ≈ -0.086.

Explanation:

To solve the equation

[tex]4^{x+2} = 12[/tex]

for x, we can use the change of base formula log base b of y equals log y over log b. Let's solve it step by step:

Take the logarithm of both sides of the equation using any base (let's use base 10 for this example): [tex]log (4^{x+2})[/tex] = log 12Apply the power rule of logarithms: (x+2) * log 4 = log 12Divide both sides by log 4: x+2 = log 12 / log 4Subtract 2 from both sides to isolate x: x = log 12 / log 4 - 2Use a calculator to evaluate the right side of the equation: x ≈ -0.086

Therefore, the solution to the equation

[tex]4^{x+2} = 12[/tex]

is approximately x = -0.086.

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You are concerned about two events you recently learned about through trade publications: (1) the overall market supply of nails will decrease by 2 percent, due to exit by foreign competitors; and (2) due to a growing U.S. economy, the overall market demand for nails will increase by 2 percent.Based on this information, should you plan to increase or decrease your production of nails What is the value of Negative 3 m n + 4 m minus 3 when m = 2 and n = negative 4? In eukaryotic cells, the processes of protein synthesis occur in different cellular locations. Drag the labels to the appropriate targets to identify where in the cell each process associated with protein synthesis takes place.1. nucleus______.2. cytoplasm______.3. free ribosomes______.4. chromatin______.5. ribosomes______. By determining f prime left parenthesis x right parenthesis equals ModifyingBelow lim With h right arrow 0 StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFractionf(x)=limh0 f(x+h)f(x) h, find f prime left parenthesis 7 right parenthesisf(7) for the given function. f left parenthesis x right parenthesis equals 5 x squaredf(x)=5x2 f prime left parenthesis 7 right parenthesisf(7)equals=nothing (Simplify your answer.) For the following characteristic, indicate M for monocot and E for eudicot. Vascular bundles neatly and uniformly arranged around the stem What happens it the offshore team members are not able to participate in the iteration demo due to time zone/infrastructure issues?.A. No issues. Onsite members can have the iteration demo with the Product Owner/Stakeholders - it is a single team anyway.B. Offshore members will miss the opportunity to interact with the Product Owner/Stakeholders and get the direct feedback about the increment they created.C. No major issue. Since offshore Lead and onsite members participate in the demo with the Product Owner/Stakeholders, they can cascade the feedback back to the offshore members.D. It is a loss as the offshore members will not be able to contribute to ideas related to way of working. What two shapes are quadrilaterals with 2 pairs of parallel sides and no right angles? What type of system shuffles census and patient demographic information,and deals with billing and accounting? A $40.00 skateboard is discounted 30%. If sales tax is 5%, what is the amount of tax paid? How did the War for Independence affect anti-Catholicism in America? a. Spains wartime aid to Britain led Georgian colonists to attack Catholic missions in Florida. b. The alliance with France, a predominantly Catholic country, helped diminish American anti-Catholicism. c. Independence led the states to impose anti-Catholic laws that they had been unable to adopt when they were under British control. d. Anti-Catholicism increased when Quebec Catholics volunteered in large numbers for the British army. e. Because Americans resented Catholic France negotiating a separate peace with Great Britain, anti-Catholicism became more prevalent. When 18 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution. Define a function sum_file that consumes a string representing a filename and returns a number. This number will represent the sum of all the numbers in the given file. Assume that all files will have each number on their own line. Note: Your function will be unit tested against multiple arguments. It is not enough to get the right output for your own test cases, you will need to be able to handle any valid filename. You can safely assume that the file will be a non-empty sequence of numbers, each on their own new line. Note: You cannot simply print out a literal value. You must use a looping pattern to calculate for any file like this. Note: You cannot embed the text of the file directly in your program. Use the appropriate file handling style to access the data in the file. compare and contrast the ancient Roman religion at the start of the empire to the religion that was dominant toward the end and collapse of the empire A rhombus has side lengths of 25. What could be the lengths of the diagonals? Why are crowd-sourced websites considered unreliable?Most people are poorly educated.They allow only experts in the field to provide information.Crowd-sourced websites do not have staffs to manage their content.Information on them is often not backed up with reliable sources. Steam Workshop Downloader