Which event is least likely to occur?

Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

To calculate percentage change, we can use the following formula:

[tex]\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100[/tex]

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%[/tex]

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%[/tex]

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%[/tex]

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%[/tex]

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%[/tex]

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%[/tex]

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Answer:

3x^2+4x+2

please see the attached picture for full solution

hope it helps

Good luck on your assignment..

The quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

A division is a process of splitting a specific amount into equal parts.

We are asked to find the quotient obtained by dividing the expression

(3x³+10x²+10x+4) divided by (x+2)

We can also write this expression as i.e. we are asked to find the value of the expression:

3x³+10x²+10x+4/x+2

We can write the expression on the numerator as:

3x³+10x²+10x+4=(3x²+4x+2)(x+2)

Divide both sides by x+2

3x³+10x²+10x+4/x+2=3x²+4x+2(x+2)/x+2

3x³+10x²+10x+4/(x+2)=3x²+4x+2

Hence, the quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

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Answer:

[tex]40[/tex] °

Step-by-step explanation:

[tex]tan(x)=\frac{8}{10} \\x=tan^{-1} (\frac{8}{10} )[/tex]

[tex]x=38.65980825[/tex]

Answer:

38.7

Step-by-step explanation:

Answer:

4096

Step-by-step explanation:

Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n

Therefore,

((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2

Now lets focus on ((3/16)^-2)^3/2

(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.

We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27

So now we have, 9^3/2 * 4096/27

We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.

Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096

Answer:

B. - 6p - 78

Step-by-step explanation:

-5 (3p+3) + 9 (-7 + p)

Expand.

-15p - 15 - 63 + 9p

Rearrange.

-15p + 9p + -15 + -63

Factor out.

p(-15+9) + -(15+63)

p(-6) + -(78)

-6p + - 78

-6p - 78

Answer:

-6p-78

Step-by-step explanation:

=> -5(3p+3)+9(-7+p)

=> -15p-15-63+9p

=> -15p+9p-78

=> -6p-78

Hope this helps!

Don't hesitate asking anything regarding this!

Give other person the brainliest answer :)

Answer:

8 + (5W)/ 4

Step-by-step explanation:

Plug in 2 for x

2 * 2 * 2 + (5W)/(2 + 2)

8 + (5W)/ 4

Answer:

214 ft^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the cylindrical construction pipe.

Mathematically, the volume V

V = pi * r^2 * h

r is radius = diameter/2 = 4/2 = 2 ft

h = 17ft

pi = 3.14

Putting these values, we have;

V = 3.14 * 2^2 * 17 = 213.52 which is 214 ft^3 to the nearest whole number

Answer: shes right

Step-by-step explanation:

Answer:

(−8x+1)(x+2)

Step-by-step explanation:

−8x^2−15x+2

−8x^2−15x+2

=(−8x+1)(x+2)

Answer:

(−8x+1)(x+2) Hope this helps!

Answer:

(-8x-1)(x-2)

Step-by-step explanation:

[tex]-8x^{2} +15x + 2=-8x^{2} +16x - x + 2[/tex]

-8x(x-2)-1(x-2)= (-8x-1)(x-2)

Answer:

54 square feet

Step-by-step explanation:

Area of a triangle is A = 1/2b*h

A = 1/2(9)(12)

A = 1/2(108)

A = 54 square feet

Answer:

0.2 times

Step-by-step explanation:

Saturn: 8.867 × 108 = 957.636

Uranus: 1.787 × 109 = 194.783

You take (Uranus: 194.783)

& you divide it by (Saturn: 957.636)

You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)

That would make Uranus 0.2 times as far from the sun

Answer:

34 packages

25 packages

Step-by-step explanation:

He needs a pair of buns for each hamburger.

He needs 200 hamburger. That means that he needs 400 buns for his picnic.

If buns come in a package of 12, the number of packages he needs is:

400 / 12 = 33.33 packages

Because packages come in whole numbers, we have to round up.

That means he needs 34 packages.

If buns come in a package of 16, the number of packages he needs is:

400 / 16 = 25 packages

Answer:

[tex]x = 26.25[/tex] inches

Step-by-step explanation:

Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

[tex]\frac{15.75}{x} = \frac{9}{15}[/tex]

Cross multiply:

[tex]236.25 = 9x[/tex]

Divide both sides by '9' to solve for 'x':

[tex]\frac{236.25}{9} = \frac{9x}{9}[/tex]

[tex]x = 26.25[/tex]

Therefore, side length 'x' equals 26.25 in.

Answer:

57 degree

Step-by-step explanation:

AB^2 = AC^2+CB^2-2ACCBcosC

AB=25cm

BC^2=AB^2+AC^2-2ABACcosA

A=56.6 degree

Answer: f(x)=(x+3)^2-13 = (-3|-13)

Step-by-step explanation:

x^2+6x-4

x^2+6x+3^2-3^2-4

(x+3)^2-3^2-4

(x+3)^2-13

Answer:

d =±2sqrt(7) i

Step-by-step explanation:

d^2 = -28

Take the square root of each side

sqrt(d^2) = ±sqrt(-28)

d = ±sqrt(-28)

d = ±sqrt(-1)sqrt(28)

We know that sqrt(-1) = i

d =±i*sqrt(4)sqrt(7)

d =±i 2sqrt(7)

d =±2sqrt(7) i

Answer:

The answer would be B

Step-by-step explanation:

So you have a totl of 50 rings. You would then add the blue and yellow ones to get 20. Then you divide 20 by 50 and get .4 which is equivalent to 2/5

Answer:

B

Step-by-step explanation:

I agree that the answer is B

Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

Answer:

8 inches x 11 inches x 13 inches

Step-by-step explanation:

I got correct on edmentum

Answer:

3 miles

Step-by-step explanation:

First, we find the rate at which she drives, that is her speed.

Speed is given as:

speed = distance / time

When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:

s = 15 / 30 = 0.5 miles per minute.

She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.

From the formula of speed, distance is given as:

distance = speed * time

Therefore, the distance of The Dreamy Donut Shop is:

distance = 0.5 * 6 = 3 miles

The Dreamy Donut Shop is 3 miles away.

Answer:

The answer is 3 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = atan(10/8) = 51.3 deg

Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

because

Answer:

8

Step-by-step explanation:

Expression:

(-B)2

Let's substitute the value of B into this expression:

B = -4

(-B)2

[-(-4)]2

Notice how there are two negative signs int this expression:

[-(-4)]2

Well, there is an invisible 1 behind the first negative sign.

[-(-4)]2

[-1(-4)]2

All we have to do now is multiply:

[-1(-4)]2

(4)2

(4)2

= 8

Therefore, the value of the expression is 8.

The distance between the ship and the shore is 63.83 meters.

We have,

Distance between the ship and the shore = x

Use tangent trigonometric identites.

tan θ = perpendicular / Base

tan 25 = 30/x

tan 25 = 0.47

0.47 = 30/x

x = 30/0.47

x = 63.83

Thus,

The distance between the ship and the shore is 63.83 meters.

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Answer:

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

[tex]24 \times \frac{24}{8}= 72 \ grams[/tex]

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

Answer:

The dimensions of the three possible boxes are;

Box 1:  2 inches length by 4 inches width by 5 inches height

Box 2:  2 inches length by 2 inches width by 10 inches height

Box 3:  8 inches length by 1 inch width by 5 inches height

Step-by-step explanation:

The dimensions of the required box = 40 in³

Therefore, a box that will hold all the cubes will have a dimension given as follows;

Length, l × Width, w × Height, h = 40 in.³

We therefore, look for possible dimensions of l, w, h, however to make is faster, we note that l × w = base area, BA, hence we look for the factors 40 thus;

BA × h        ≡  l × w × h

8  × 5 = 40 ≡ 2 × 4 × 5 = 40

4 × 10 = 40 ≡ 2 × 2 × 10 = 40

8 × 5 = 40 ≡ 8 × 1 × 5 = 40

Hence we have our three possible boxes as follows;

Box 1: Length = 2 inches, width = 4 inches and height = 5 inches

Box 2: Length = 2 inches, width = 2 inches and height = 10 inches

Box 3: Length = 8 inches, width = 1 inches and height = 5 inches.

Answer: 83

Step-by-step explanation:

225 - 55 -87= 83

You have $83 left on the credit card as your balance.

Answer:

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

Step-by-step explanation:

Given: [tex]EG =59 \,\,units[/tex]

To find: [tex]x,EF,FG[/tex]

Solution:

From the image, [tex]EG=EF+FG[/tex]

Put [tex]EF=8x-14\,,\,FG=4x+1\,,\,EG=59[/tex]

[tex]8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6[/tex]

[tex]EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25[/tex]

Therefore,

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

Firstly Bernard = x

A) lets focus on Therese first. Bernard id two years older than her so for Therese’s equation in terms of x it would be x+2. Now for Josephine Bernard is 4 years younger than HER so it would be 4-x.

B) The mother is the PRODUCT of the sisters’ ages so (multiplication)

It would be like this: (x+2)(4-x)= 40 This is all in terms of x.

Solving for the equation (using distributive property) we get:

4x-x+8-2x=40

(Reorganize to group like terms, remember to go in order from the numeral numbers with variables, to variables only then numbers only): 4x-2x-x+8=40 (now combine like terms and simplify): x+8=40 this is his mom’s age in terms of x

C) HERE we can solve for x:

Isolating x to get the answer we move the 8 to the other side of the equation and it becomes a negative 8 so:

x=40-8

x=32

Therefore Bernard is 32 years old.

Hope this helps!

Answer: 1/16 of a pound

Step-by-step explanation:

Here is the complete question:

Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?

1/16 of a pound

1/9of a pound

16/81 of a pound

81/16 pounds

From the question, we are told that Jordan bought 9/16 of a pound of sunflower seeds and then divided them equally into 9 snack bags for his lunch. To get the weight of sunflower seeds in each snack bag, we will divide 9/16 by 9 snack bags. This can be written mathematically as:

= 9/16 ÷ 9

= 9/16 × 1/9

= 1/16

The weight of sunflower seeds in each snack bag will be 1/16 of a pound.

Answer:

A- 1/16

Step-by-step explanation:

I took the quiz and got it correct :) hope I could help!!!

Answer:

What is f(x) + f(x) + f(x)? 3f(x)

3f(x) = 3x^2

Evaluate 3f(2) = 12

The required value of the additions of the functios is 3x².

Given that,
f(x) = x2

What is fx) + f(x) + f(x) is to be determined,

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax + b is a polynomial.

Here,
f( x ) = x²
Now f(x) +f(x) + f(x) = x² + x² + x²
       f(x) +f(x) + f(x) = 3x²

Thus, The required value of the additions of the functions is 3x².

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