Event A: lands on yellow.
Event B: lands on green.

Events A and B are a0 events.

Answer:

Option C.

Step-by-step explanation:

The given functions are

[tex]f(x)=ax^2[/tex]

[tex]g(x)=x^2[/tex]

It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].  

Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.

Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].

From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.

Therefore, the correct option is C.

Following are the solution to the graph function:

Given:

Graph function:

[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]

Solution:

Therefore, the final answer is "Option C".

Learn more about the graph:

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Answer:

A={2,4,6,8}

Let the set be A

Even numbers are those numbers which can be divided by 2.

hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

Let the set be A

even numbers means the numbers can be divide by 2

but they said that it has to be less than 10

Now, let's create the set

[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

The value of f(x) = x² - 2x  at x=4 is 8.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation

Given:

f(x) = x² - 2x

Replace the x with -4.

f(-4) =  x² - 2x

Next, Evaluate the power.

=  (-4)² - 2(4)

Now, Calculate the rest.

= 16 + 8

= 8

Hence, the value of f(-4) is 8.

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Answer: The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Step-by-step explanation:

You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.

From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:

A = 90° - 40° =50°

(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)

Now, we want to find the opposite cathetus to this angle, so we can use the relation:

Tan(A) = Opposite cath/adjacent cath.

And we know that the adjacent cathetus, the tower, is 324m long.

then:

Tan(50°) = X/324m.

Tan(50°)*324m = X = 386.1m

now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.

So we have:

Tan(35°) = X/324m

Tan(45°)*324m = 226.9m

then:

The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Answer: The answer is C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

Answer:

[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]

Step-by-step explanation:

\frac{1}{x+2}-\frac{1}{3}  =\frac{1}{x^2 +5x+6}

Answer:

[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]

[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]

[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]

[tex]$\frac{10y+21x}{15xy}$ \\[/tex]

\\-----------------------------------\\

[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]

[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]

Answer: it is c.

Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.

Answer:

C

Step-by-step explanation:

C

Answer:

A

Step-by-step explanation:

The two angles given are vertical angles because they are opposite of each other

Hey!!

<a and <b are vertically opposite angles.

Vertically opposite angles are always equal.

Hope it helps..

Good luck on your assignment

Answer:(B)

Step-by-step explanation:

so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.

Answer:

The answer is A (25, 0)

Step-by-step explanation:.

The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.

Answer: D. They are both congruent

Step-by-step explanation:

The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)

They two shapes are the same size with the same area, so they are both congruent.

Answer:

The answer on Imagine Math is...

-They are congruent

Step-by-step explanation:

I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer:

I think the answer would be $466.24.

Answer:

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{c}{d}[/tex]

another way to write the equality of the two ratios is :

a : b = c : d

as you can see in the equality a : b = c : d

Step-by-step explanation:

Let's plug the values in.

(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.

The quadratic functions that fits with its respective graph are.

1). f (x) = x^2 - 4x + 5

2). f (x) = -x^2 - 2x +3

3). f (x) = x^2 - 6x + 5

Here is how it looks.

The graph has been plotted to show the graphs that corresponds to the equations.

A quadratic equation is what can be written in the form of ax²+bx+c=0

The equations given are

f (x) = x² + 6x - 5

f (x) = x² - 4x + 5

f (x) = -x² - 2x +3

f (x) = x² + 4x - 5

f (x) = -x² + 2x - 3

f (x) = x² - 6x + 5

The quadratic equations are plotted to determine which graph is corresponding to which equation.

To know more about Quadratic Equation

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Answer:

40 miles per hour

Step-by-step explanation:

Change 300 minutes to hours.  There are 60 minutes to hours

300 minutes * 1 hour/ 60 minutes = 5 hours

Now take the miles and divide by hours

200 miles / 5 hours = 40 miles per hour

Answer: 40 mph

Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.

Answer:

x + 5x = 14

6x = 14

x = 14/6

x = 7/3

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

Solution: x equals 4

x/14-(6/21)=0

1. Simplify 2/7

x/14- 2/7 is 0

It’s too much steps

Answer: -17 degrees

Step-by-step explanation:

109-126 = -17

Answer:

-17 degrees

Step-by-step explanation:

since it is 126 degrees lower, you minus 126 from 109.  109-126= -17

Answer:

The answer iis d

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

n represents the common ratio

a represents the first term of the sequence (initial amount)

n represents number of terms in the sequence (days)

r represents common ratio between consecutive terms(days)

From the information given,

r = 2

n = 10

a = 0.05

Therefore, for 10days, T10

T10 = 0.05 × 2^(10 - 1)

T10 = 0.05 × 2^9

T10 = 25.6

Answer:

Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.

Step-by-step explanation:

Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.

For the first five days we have:

Day1: 1

Day2: 1 + 1 = 2

Day 3: 2 + 2 = 4

Day 4: 4 + 4 = 8

Day 5: = 8 + 8 = 16

...

This is a geometric progression, where the first term is 1, and the common ratio is 2.

The nth term is given as

Tn = ar^(n - 1)

Tn = 1 × 2^(n - 1)

= 2^(n - 1)

That is

Day n = 2^(n - 1)

Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.

But because 1 nickels = 5 cents

512 nickels = 5 × 512 = 2560 cents.

The first two values were calculated, but the 0.4 one is wrong.

2/5% would result to 0.4% which is converted to 0.004 so it's wrong.

40/100 would be reduced to 2/5.

2/5 would result to 0.4.

0.4 means 40%.

If the question intentionally gives 2/5%, then you have to compute it all the way back.

2/5% to 0.4% to 0.004 to 4/1000

I have no clue what part is given but you can get the idea where this is going.

The second one depends on the value in question one.

So Good luck!

Answer: calories from other ingredients

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

4c + 5 = 27

27 = calories contained in a granola bite

Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.

So:

c = grams carbohydrates

4 = calories contained in 1 gram of carbohydrate

Since the sum of the product of the calories contained in 1 gram of carbohydrate (4) and the number of carbohydrates(c ); plus the calories from other ingredients is equal to the calories contained in a granola byte (27);

5 represents the calories from other ingredients

Feel free to ask for more if needed or if you did not understand something.  

Answer:

one more would be 56

one less would be 54

ten more would 65

ten less would be 45

Step-by-step explanation:

add one more to 55 to get 56

subtract one from 55 to get 54

add ten more to 55 to get 65

subtract ten from 55 to get 45

Answer:

3.5

Step-by-step explanation:

35% is only 0.35

Answer:

3.5

Step-by-step explanation:

Answer:

a. 4

b. 10

Step-by-step explanation:

A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops.  Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.

B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.

Answer:

A:$7200-$5340

=$1860

They can buy 4 laptops which will cost $1580 and leave you with $280

B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops

Step-by-step explanation: