A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?

A Store Selling School Supplies Advertises A Bundle Deal. The Consumer Canpick A Backpack, A Binder,

Answers

Answer 1

Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:

D. 240.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of options for each selection are given as follows:

[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]

Hence the number of outcomes is given by:

N = 6 x 4 x 5 x 2 = 240.

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Related Questions

Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.

Answers

A median.

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.

When there are two middle numbers we average them.

We have:

3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2

Let's sort the numbers from the smallest to the largest

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

The median is 3.3

Answer:

3.3

Step-by-step explanation:

The first thing you have to do is put them in order from least to greatest.

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

Check off one from the left side and one from the right side until you are left with the one in the middle.

When you do that, you are left with 3.3

please help mee, (20 points will give brainliest!!!)

Answers

Answer:

A) 48

B) -30

Step-by-step explanation:

Hello!

Part A

To compute f(-1) and f(5), we simply replace x with -1 and -5.

Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]

The answer to A is 48

Part B

We have the values for f(-1) and f(5), so we just switch the operation

[tex](9) - (39)[/tex][tex]-30[/tex]

The answer to B is -30

In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Answers

Answer:

side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

The side opposite to biggest angle is the longest side

         In ΔQRS,

∠S > ∠R > ∠Q

∠S is the biggest and ∠ Q is the smallest angle.

So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.

QR > QS > RS

QR = 12.6 cm  ; QS = 10 cm and  RS = 7 cm

What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Answers

The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.

How to Find the Solution of an Inequality?

To find the solution to an inequality, solve the inequality to isolate the variable.

Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:

-16x + 8 < 2x + 5

Combine like terms

-16x - 2x < -8 + 5

-18x < -3

Divide both sides by -18 then reverse < to >

-18x/-18 > -3/-18

x > 1/6

The solution is: B. x > 1/6

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Jej pls help i need help thank you

Answers

Answer:

Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]

Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]

Step-by-step explanation:

Finding the largest total :

The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20

Finding the smallest total :

⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40

Answer:

Largest Totals : 69/20

Smallest Totals : 121/40

Step-by-step explanation:

Given:

Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.  

Solve:

First let change all to improper fractions:
7/4      {already a improper fractions}

1 3/8  = 11/8

1 7/10 = 17/10

33/20       {already a improper fractions}

Thus we have:

7/4

11/8

17/10

33/20

According to the solving above ,

⇒ 70/40 , 55/40, 68/40, 66/40

⇒ 70/40 > 68/40 > 66/40 > 55/40

⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8

⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20

⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40

Since, it says given your answers as improper fractions in their simplest form:

Thus,

Largest Totals : 69/20

Smallest Totals : 121/40

RevyBreeze

What is the approximate area of the circle shown below?
60 cm C
A. 11,310 cm²
B. 94 cm²
C. 2827 cm²
D. 188 cm²

Answers

C because the formula to find the are of a circle is A=(pi) * radius^2. To find the radius from diameter, just divide by two. So 60/2= 30 so now you can just plug in and 30 * 30 is 900 and 900 * pi, or 3.1415926535, is about 2827
2827 should be the answer because of the area it is showing

How do I solve this?

Answers

Answer:

x = 4

Step-by-step explanation:

The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.

6x + 1 = 4x + 9

2x + 1 = 9

2x = 8

x = 4

If x + y = 2 and x - y = 6, solve for x and y.

Answers

Answer:

Step-by-step explanation:

Givens

x + y = 2

x - y = 6

Solution

Just add the two equations together. The y's will drop out.

x + y = 2

x - y = 6             Add

2x = 8                 Divide by 2

2x/2 = 8/2          Combine

x = 4                   Substitute x = 4 into the top equation

x + y = 2

4 + y = 2             Subtract 4 from both sides

4-4+y=2-4          Combine

y = - 2    

Answer

x = 4

y = -2

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

Linear equations in two variables
Graph y = -4 then explain why it is not a function, can somone ELI5

Answers

Answer:

y=-4 is a function

Step-by-step explanation:

It passes the vertical line test, and each x has only one y, so it is a function.

x = -4 is NOT a function because one x has multiple y values. It does not pass the vertical line test.

Angle AMO is 50 degrees. If ray MB bisects angle AMO, what would be the measure of angle AMB?​

Answers

The answer I’m guessing would be 25 since it’s bisecting the angle in the middle

Can someone explain to me #2 I only need #2

Answers

Answer:

in a rectangle, opposite sides are equal in length

Step-by-step explanation:

now in this question, Pythagoras theorem is being used to find the length

we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd

Step-by-step explanation:

So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²  
In this problem A = 21    B = 28  and C = the length of BD
so it'll look like  21²+28²=Length of BD²  or BD²=21²+28²  now you find BD
first do 21²+28² --> 441+784 --> 1225   Now you know that 21²+28²=1225
so BD²=1225  Then to find BD, you find √1225(square root of 1225)
Which is 35     So BD=35 and you want to know what BD+AC is
so 35+35=70        

The steps to simplify the expression -100 ÷ 3 x (-0.6) are shown.

Answers

Answer:

That is the answer for you step 2

a motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West what is the velocity of the wind.​

Answers

The velocity of the wind will be 50 km per hour.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.

Then the velocity of the wind will be

Let x be the speed of the wind. Then we have

x² = 50² + 50² - 2 x 50 x 50 x cos 60°

x² = 2500 + 2500 - 2500

x² = 2500

x = 50 km per hour

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What is the inverse of the fraction FX = 1/4 x = -12

Answers

The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.

The complete question is attached below.

What is inverse of a function?

Suppose that the given function is

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'

The function is given below.

f(x) = (1/4)x – 12

Then the inverse function of the function f(x) will be

(1/4)f⁻¹(x) - 12 = x

            f⁻¹(x) = 4x + 48

Then the correct option is D.

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Can someone pls help me with this fast thank you​

Answers

Answer: Yes

Step-by-step explanation:

[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].

Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.

Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

  (c)  (-30, 10)

Step-by-step explanation:

Two points will be on the same graph of a proportional relationship if the ratio of values y/x is the same.

__

The given point (x, y) = (60, -20) has a ratio k = y/x = -20/60 = -1/3.

The offered points have y/x ratios ...

(a) 30/-10 = -3

(b) -15/30 = -1/2

(c) 10/-30 = -1/3 . . . . . . the point you are looking for is (-30, 10)

(d) -30/80 = -3/8

a man bought a motor at 400,000 Kenyan shillings in January 1999 it depreciated at a rate of 16% per annum if he value it six months determines its value in January 2003​

Answers

The value of the car is January 2003 is  $199,148.54.

What is the value of the car?

Depreciation is the rate of decline in the value of an asset with the passage of time.

The exponential equation that can be used to determine the value of the car is:

Value of the car = purchase value(1 - rate of decline)^time

400,000 x (1 - 0.16)^(2003 - 1999)

400,000 x (0.84^4) = $199,148.54

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I need a written answer for all three questions please.

Answers

The values of the trigonometry ratios are:

cos α = - 5/13 and cot α = 5/12cot α = -5/12 and sec α = 13/5

How to solve the trigonometry ratios?

1: sin α = -12/13 and tan α > 0, find cos α and cot α

Because tan α > 0, then it means that cos α and sin α are negative

So, we have:

sin²α + cos²α = 1

Substitute sin α = -12/13

(-12/13)² + cos²α = 1

This gives

cos²α = 1 - (-12/13)²

Evaluate the squares

cos²α = 1 - 144/169

Evaluate the difference

cos²α = 25/169

Take the square root of both sides

cos α = - 5/13

The cotangent ratio is represented as:

cot α = cos α/sin α

This gives

cot α = (-5/13)/(-12/13)

Evaluate

cot α = 5/12

Hence, cos α = - 5/13 and cot α = 5/12

2: tan α = -12/5 for α in quadrant IV, find sec α and cot α

Because α is in quadrant IV, then it means that sec α is positive

cot α = 1/tan α

This gives

cot α = 1/(-12/5)

Evaluate

cot α = -5/12

Also, we have:

sec²α = 1 + tan²α

Substitute tan α = -12/5

sec²α = 1 + (-12/5)²

Evaluate the squares

sec²α = 1 + 144/25

Evaluate the sum

sec²α = 169/25

Take the square root of both sides

sec α = 13/5

Hence, cot α = -5/12 and sec α = 13/5

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The image of ABC is A'B'C. What transformations would result in this image?


ABC is rotated 180° around the origin, then T: ( x, y) → ( x - 1, y - 1).

ABC is reflected over the line x = 1, then is reflected over the line y = -1.

ABC is rotated -90° around the point, then T: ( x, y) → ( x + 5, y + 3).

ABC is rotated -90° around the origin, then T: ( x, y) → ( x + 5, y - 1).

(multi choice)

Answers

Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

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Which of the following represents the synthetic division form of the long division problem below? (2x ^ 3 - 6x ^ 2 + 4x + 7)/(x + 3)

Answers

The answer would be C

How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.

Answers

Answer:

27

depth ×breadth×width=3×3×3

= 27

If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?

Answers

Answer:

[tex]\boxed {cot T = -\frac{5}{12}}[/tex]

Step-by-step explanation:

Finding the missing side :

x² = 13² - 12²x² = 169 - 144x = √25x = 5

Taking the cot value :

cot T = adjacent / oppositecot T = -5/12 (As cot is negative in Quadrant 2)

Answer:

csc T =13/12

(cot T)^2=csc^2T -1

Cot T)^2=(13/12)^2-1

(cot. T )^2=169/144-1

(cot T)^2=169-144/144

(cot T)^2=25/144

cot T =√ 25/144

cot T=5/12

where cot is negative in WE

so Cot T=-5/12

Step-by-step explanation:

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Quayleen wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would she require?​

Answers

[tex]\bullet\:{\boxed{\tt{\red{{Given :}}}}}[/tex]

Length of the wooden box [tex](l)[/tex] = 80cm.

Breadth of the wooden box [tex](b)[/tex] = 40cm.

Height of the wooden box [tex](h)[/tex] = 20cm.

Side of the square sheet paper = 40cm.

[tex]\bullet\:{\boxed{\tt{\red{{To : Find :}}}}}[/tex]

The number of sheets required.

[tex] \bullet\:{\boxed{\tt{\red{{Formula \: \: used :}}}}}[/tex]

[tex] \star{\underline{\boxed{{\sf{{{TSA}} = \underline{\underline{{\purple\sf 2(lb+bh+hl)}}}}}}}} \star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Area \: of \: square}} = \underline{\underline{{\purple{\sf side \times side }}}}}}}}}\star[/tex]

[tex]\star{\underline{\boxed{{\sf{{{Number \: of \: sheets \: required} = {{{\purple{\sf \dfrac{TSA}{area \: of \: one \: sheet}}}}}}}}}}} \star[/tex]

[tex] \bullet\:{\boxed{\tt{\red{{Concept :}}}}}[/tex]

As Quayleen wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. So for knowing the number of sheets required, we need two things one the TSA and Area of one sheet. Once, we will get the values we will divide them to get the answer. Let's Start !!

[tex] \bullet\:{\boxed{\tt{\red{{Solution :}}}}}[/tex]

As we know that ::

Total surface area of cuboid [tex]\large[ \sf 2(lb+bh + hl)][/tex]

Here,

✧ Length [tex](l)[/tex] = 80cm

✧ Breadth [tex](b)[/tex] = 40cm

✧ Height [tex](h)[/tex] = 20cm

Now, by putting the values we get :

[tex] \longrightarrow 2 \bigg[ (80 \times 40) + (40 \times 20) + (20 \times 80) \bigg]\sf {cm}^{2}[/tex]

[tex]\longrightarrow 2 \bigg[ (3200) + (800) + (1600) \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 2 \bigg[ 5600 \bigg] \sf {cm}^{2} [/tex]

[tex] \longrightarrow 11200 \: \sf {cm}^{2}[/tex]

Hence, the total surface area of the wooden box is 11200 cm²

Now,

The area of each sheet of paper will be :

[tex] \sf \longrightarrow side \times side[/tex]

[tex]\sf \longrightarrow (40 \times 40) \: {cm}^{2} [/tex]

[tex]\longrightarrow \sf (1600) \: {cm}^{2} [/tex]

Hence, the area of each sheet of paper is 1600 cm²

Now,

For finding the number of sheets required

[tex] \longrightarrow \tt \dfrac{total \: surface \: area \: of \: box}{ area \: of \: one \: sheet} [/tex]

[tex]\longrightarrow \sf\dfrac{ \cancel{11200}_{7}}{\cancel{1600}_{1}}[/tex]

[tex] \longrightarrow \purple{ \sf 7}[/tex]

Therefore, Quayleen requires 7 sheets.

[tex]\rule{280pt}{2pt}[/tex]

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
Write the function in standard form.
f(x) = 5x2 + 40x
Factor a out of the first two terms.
1(x) = 5(x2 + 8x)
Form a perfect square trinomial.
(%) =16
1(x) = 5(x2 + 8x + 16) -5(16)
What is the function written in vertex form?
® f(x) = 5(x + 4) -80
® f(x) = 5(x + 8) - 80
O f(x) = 5(x + 4)2 - 80
• f(x) = 5(x + 8) - 80

Answers

Answer: Choice C  [tex]f(x) = 5(x+4)^2 - 80[/tex]

======================================================

Reason:

The expression [tex]x^2+8x+16[/tex] factors to [tex](x+4)^2[/tex] using the perfect square trinomial formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]. In this case, a = x and b = 4.

The -5(16) simplifies to -80

Therefore, [tex]5(x^2+8x+16) - 5(16)[/tex] turns into [tex]5(x+4)^2 - 80[/tex]

Compare this to [tex]a(x-h)^2 + k[/tex] to see that h = -4 and k = -80. The vertex is located at (h,k) = (-4, -80)

Answer:

c) 5(x+4)² - 80

Step-by-step explanation:

You have already gotten the third (second-last) step for finding the vertex as follows:

f(x) = 5(x² + 8x + 16) -5(16)

= 5(x+4)² - 80

Additional remarks: to find the vertex, you can just use find the value of x when x+4 = 0, meaning x = -4 and y = -80. Hence, the vertex is (-4, -80).

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Given that the sum to infinity of a G.P. is 10. If the first term of the series is given as 5, determine the 3rd term.

Answers

Answer:

a₃ = 1.25

Step-by-step explanation:

the sum to infinity is calculated as

S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]

a₁ is the first term and r the common ratio

given a₁ = 5 and S∞ = 10 , then

10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)

10(1 - r) = 5

10 - 10r = 5 ( subtract 10 from both sides )

- 10r = - 5 ( divide both sides by - 10 )

r = 0.5

then

a₂ = a₁ × r = 5 × 0.5 = 2.5

a₃ = a₂ × r = 2.5 × 0.5 = 1.25

(28÷4)+3+6x5


tell accordingly the correct answer will be marked as brainliest answer

Answers

The answer to this expression is 40. Why? Well, we can use PEMDAS in this expression.

P: Parenthesis

So this is our first step:

28 / 4 = 7

Next step: Simplify.

7 + 3 + 6 x 5

Then: E stands for Exponents but we have none so we can move on.

M stands for Multiply so we have our next step:

6 x 5 = 30

Now: Simplify.

7 + 3 + 30

Now that we have a simple equation, we can add the values to get our answer.

7 + 3 = 10
10 + 30 = 40

Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.


Your final answer: 40.

Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.

Answers

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

What is a fair coin?

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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PLEASE HELP I WILL GIVE 20 POINTS

Function g can be thought of as translated (shifted) version of f(x)=x^2

Answers

g(x) is left 2, up 1 from f(x). So, g(x)=f(x+2)+1. Or, you can say g(x)= (x+2)^2 + 1.

Using the basic identities, find the value of cosΘ if cotΘ = -12/5.

Answers

Step-by-step explanation:

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Other Questions
Jin was assigned to give an informative speech to his classmates. He decided that his specific purpose was to inform his audience about different types of domesticated fruit trees. In giving his speech, he described differences between orange, apple, and lemon trees. Which key question did Jin most likely forget to ask himself about his specific purpose Mileposts are located ____ on interstate highways starting at each state line Consider an economy with only two goods: bread and wine. In 2000, the typical family bought 4 loaves of bread at 50 cents per loaf and 2 bottles of wine for 9 dollars per bottle. In 2015, bread cost 75 cents per loaf and wine cost 10 dollars per bottle. The CPI for 2015 ( using 2000 as base year) is a) 100 b) 115 c) 126 d) 130 Why do subduction zone earthquakes typically pose a greater risk than earthquakes occurringat divergent and transform boundaries? Based on the electron configuration of the twoatoms, predict the ratio of metal cationic (+) atomto nonmetal anionic (-) atom in the compound.Magnesium 1s2s2p63sSulfur 1s2s2p63s3p4 Who quested for the holy grail before being replaced by sir galahad?. c. In what ways could you reduce your water usage if there was a water shortage? What is shakespeare implying by the fact that romeo compares juliet to the sun, while juliet compares romeo to the moon? a. romeo and juliet belong together b. romeo is older than juliet c. romeo will eclipse juliet d. juliet is good, and romeo is evil why did the soviets face greater resistance from the mujahideen than they expected? Select two options.1 the soviets were unfamiliar with the afghan terrain2 the US offered training to the mujahideen3 the soviet's poorly made weaponry were easily overcome and destroyed 4 the mujahideen had an innate understanding of all the soviet's weaknesses5 The US provided weapons to the mujahideen Translate the algebraic expression below into a written expression. 5x ^ 3 + 2x ^ 2 - 9 A. five times X cubed plus two times X squared plus nineB. five times X cubed and two times X squared minus nine C. five times X squared plus two times X cubed minus nineD. the sum of five times X squared and two times X cubed minus nine How does the potato crop failure in Ireland demonstrate the relationship between humans and the environment?A) The Spanish never assisted the Irish in methods of growing potatoes effectively. As a result, the Irish were not prepared for the airborne virus which killed the potatoes.B)In the mid-1800s, the potato crops failed in Ireland. The loss of this primary food source, combined with harsh British policies, caused about one million people to starve to death. Therefore, people relied on the environment for their livelihood.C) The potato was the main source of food for people in Ireland in the mid-1800s. The potato famine shows that the Irish should have had a more diverse diet.D) Because potatoes grew naturally in Ireland, people came to rely on them as a main source of food. When the potato crop failed in the 1800s, the Irish were able to switch to other agricultural products. i needs a help please Does this sentence need the a personal (a) in the blank?La profesora ensea _____ sus alumnos.Group of answer choicesnoyes Read the passage from Sugar Changed the World.In the sugar colonies, the wounds of slavery were never far beneath the surface. The Africans who had worked in sugar quickly left the plantations and tried to farm or moved to nearby towns. As one planter said, it made no sense to believe that "the Negro would become a grateful and cheerful free laborer on the soil which had been watered by his tears in slavery. But what could the former slaves do? Every Indian who accepted the paltry wages specified in the indenture contract lowered the price an African could charge for his labor.Which question does this passage answer most effectively?Why did Indians come to work on the plantations?Why did Africans leave the plantations to farm elsewhere?Why did the Indians accept low wages for work on plantations?Why did indenture contracts include low wages for Africans? HELP PLS ASAPWhich summarizes Washingtons foreign policy views on the war between Britain and France?A. Washington believed that the United States should secretly support Britain.Washington believed that the United States should secretly support Britain.B. Washington believed that the United States should declare war on both nations.Washington believed that the United States should declare war on both nations. C. Washington believed that the United States should remain neutral in the war.Washington believed that the United States should remain neutral in the war. D.Washington believed that the United States should secretly support France. The crime rate of a certain city is increasing by exactly 4% each year. If there were 350crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2023. They cant use the sports hall yet because it Is still built. Is still being built Is still building. Is still been built Yui makes a list of the balances in her savings account at the end of each month. She notices that each months total is 5% greater than the previous months total. She writes a recursive formula to describe the account balances. What is the scale factor of this dilation? Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3. One-fifth One-half 1 2 Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.3x-4y-5z=-275x+2y-2z=115x-4y+4z=-7a. (1,5,51)b. ( 10, 5, 51)c. (10, 51, 23)d. ( 1, 5, 2)