Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].

Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]

Hence, this is the required solution.

Answer:

5 ^15

Step-by-step explanation:

(5 ^3)^5 =5 ^(3×5)=5 ^15

The rule used is (a^b)^c = a^(b*c)

If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.

In this case, a = 5, b = 3, c = 5.

Using a calculator,

5^15 = 30,517,578,125

But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.

A,B,C

Step-by-step explanation:

Answer:

A, B and C

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

Answer:

3 * 48 is 144 4 x 36 is also 144 so yes they are equal

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

$0.15 more per ounce does her conditioner cost than her shampoo.

Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The conditioner she likes to use costs $12 for a 30-ounce bottle.

Cost of shampoo per ounce =Total cost/Number of ounce

= 6/24

= $0.25 per ounce

Cost of conditioner per ounce =Total cost/Number of ounce

= 12/30

= $0.4 per ounce

Difference =0.4-0.25

= $0.15

Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.

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Answer:

B. The cost of a smoothie

Step-by-step explanation:

The answer to the problem: 8.75 + 2.85 = $11.60

But to solve the problem you have to know the price of a smoothie.

Answer:

2

Step-by-step explanation:

63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2

Answer:

2

Step-by-step explanation:

I hope this helps!

Answer:

D. SAS

Step-by-step explanation:

Given: ΔABC

Bisecting <ABC to create point D implies that BD is a common side to  ΔABD and ΔCBD.

Also,

m<ABD = m<CBD (angle bisector)

BA = BC (given property of the isosceles triangle)

Therefore,

ΔABD ≅ ΔCBD (Side Angle Side)

The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.

Answer:

Option D is correct trust me

Step-by-step explanation:

Answer:

8.950 kg

Step-by-step explanation:

Lemme know if incorrect

Answer:

56/210---> 8/30---> 4/15

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=

52

Answer:

The answer is free electrons

Step-by-step explanation:

When electrons flow with little resistance through a conductor, then it is called a Electricity.

"The electron is a subatomic particle whose electric charge is negative one elementary charge."

"Resistance is a measure of the opposition to current flow in an electrical circuit."

"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "

The steady flow of electrons through a conductor is called electricity

Hence , if electrons are flowing that means they conducts electricity.

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Answer:

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form is 0.75

Step-by-step explanation:

The given points are M(-3, 5) and N(1, 8)

The formula for finding the slope, m, given the coordinates of two points on the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where, (x₁, y₁) = (-3, 5), and (x₂, y₂) = (1, 8), we have;

[tex]Slope, \, m =\dfrac{8-5}{1-(-3)} = \dfrac{3}{4} = 0.75[/tex]

The slope, m = 0.75

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form = 0.75.

Answer:

It would be 2x-y=3.

Answer:

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

Answer:

78

Step-by-step explanation:

Answer:

Yes, Samuel dart does land on the dart board

Step-by-step explanation:

The given parameters are;

The height from the floor to the bulls eye = 5 feet 8 inches

The size of the standard board = 18 inches diameter

The distance of the bulls eye from the wall to the left = 11 feet

The distance the dart Samuel throws land from the left wall = 11.5 feet

The distance above the ground, the dart Samuel throws land = 5.5 feet

Whereby Samuel throws the dart directly at the dartboard, we have;

The location of the bulls eye = (11, 5.67)

The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625

The unit of the radius is in feet

The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)

Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;

(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²

Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;

Yes, Samuel dart does land on the dart board.

From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;

Samuel's dart does not land on the dartboard.

We are given;

Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft

Diameter of the standard dartboard = 18 in = 1.5 ft

Thus, radius; r = 1.5/2 = 0.75 ft

Distance of the bulls eye from the wall to the left = 11 ft

Distance of dart thrown by Samuel from the left wall = 11.5 ft

Height of dart thrown by Samuel above the ground = 5.5 ft

We know that general equation of a circle is;

(x - a)² + (y - b)² = r²

Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft

And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft

Thus;

(x - 11)² + (y - 5.67)² = 0.75²

(x - 11)² + (y - 5.67)² = 0.5625

Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;

r² = (11.5 - 11)² + (5.5 - 5.67)²

r² = 0.2789

r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.

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Answer:

3 million dollars

Step-by-step explanation:

i just did this and got it right

Answer:

1. 371 × d = 52

2. n - 320 = 139

3. 317 = k + 110

4. 374 + k = 305

5. 398 = d + 6

Step-by-step explanation:

1. 371 × d = 52

d = 52/371

d = 0.14016172506

2. n - 320 = 139

n = 139 + 320

n= 459

3. 317 = k + 110

k = 317 - 110

k = 207

4. 374 + k = 305

k = 305 - 374

k = -69

5. 398 = d + 6

d = 398 - 6

d = 392

Answer: x=49

x-17=32

Subtract 17 from both sides.

x=32+17

x=49

Answer:

I am pretty it's A

Step-by-step explanation:

Basically the Associative Law of Addition means that the order that the numbers are added does not matter.

Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

V /(lw) = h

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

Answer:

20 gigabytes

Step-by-step explanation:

Let n represent the amount of gigabytes used.

First make an equation for each senario, Brynlee's would be 60+2.50n and Raylin's would be 45+3.25n.

Set them to equal each other, 60+2.50n=45+3.25n.

Then isolate for n.

60-45=3.25n-2.50n

15=0.75n

Divide both sides by 0.75 to get 20

Answer and explanation:

Please find answer and explanation attached

Answer:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Step-by-step explanation:

Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.

Since each section of fencing is 1-foot long, both x and y must be integer numbers.

The perimeter of the rectangular space is calculated as:

P = 2x + 2y

And we know she uses all 30 sections of fencing, thus:

2x + 2y = 30, where x, y are integers and positive.

Simplifying by 2:

x + y = 15

Solve for x:

x = 15 - y

This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.

Another valid option is for y=2, x=13

Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.

Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.

The area of a rectangle is

[tex]A=x\cdot y[/tex]

Testing some possible arrangements:

y=1, x=14

[tex]A=1\cdot 14= 14 ft^2[/tex]

y=2, x=13

[tex]A=2\cdot 13= 26 ft^2[/tex]

y=3, x=12

[tex]A=3\cdot 12= 36 ft^2[/tex]

We can notice the combination y=7, x=8 has an area of:

[tex]A=7\cdot 8= 56 ft^2[/tex]

This is the largest possible area of all combinations, thus:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Answer:

[tex]6x^{2} +x-12[/tex]

Step-by-step explanation:

All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.

Answer:

10km/hr

Step-by-step explanation:

Given that:

Distance covered by both Dee and Ron= 20km

Ron's speed = 8km/hr

Dee made three 10 minute stops during the race.

Time it took Ron to cover 20km

Time = distance / speed

20km / 8km/hr = 2.5 hours = 150 minutes

Since they both tied ;

Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours

Ron's speed = distance / time

Speed = 20 km / 2hours

Speed = 10km/hr

Answer:

A

Step-by-step explanation:

There is no way to tell a pattern.