I'm stuck on this, does anyone know the solution?
The question is:
Calculate (2p - 4q) 2 when p= - 8 and q = - 3.​

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

There are 325 ways to select 4 different students for unique awards such that at least one of the recipients is a girl.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

Now, coming to the question.

First, calculate the total number of ways to select 4 students from 11 (5 boys and 6 girls) without any restrictions.

This can be done using combinations:

C(11,4) = 11! / (4! * (11-4)!) = 330 ways.

Now, calculate the number of ways to select 4 boys out of 5, which means no girls are selected:

C(5,4) = 5! / (4! * (5-4)!) = 5 ways.

Subtract the number of ways with no girls from the total number of ways to get the number of ways with at least one girl:

330 - 5 = 325 ways.

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Answer:

12x + 15y

Step-by-step explanation:

3 x 4x= 12x

3 x 5y = 15y

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

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Step 1:

First count the number of stickers on a page

There are 12 stickers in a page

Step 2

There are 30 pages,

Hence, the number of stickers in 30 pages = 30 x 12 = 360

Final answer

Dana has 360 stickers in all

The number of grains on square 59 will be 5.7646075230342 x 10^17grains.

No. of grains on the first square = 1 = 2^0

No. of grains on the second square = 2 = 1*2 = 2¹

No. of grains on the third square = 4 = 2*2 = 2²

No. of grains on the fourth square = 8 = 2*4 = 2³

From the pattern it could be seen that amount of wheat is doubled for every next square

So, the number of grains in the nth square = 2^n-1

Therefore, No. of grains on 59th square

= 2^59 -1 =

= 5.7646075230342 x 10^17

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Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:

Canon

1

1

1

1

1

1

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Answer:

r = -8

Step-by-step explanation:

So we are given the equation:

6r = 16 + 8r

and we have to solve the equation. We would do this by solving for the variable r in the equation.

6r = 16 + 8r

Subtract 8r from both sides.

-2r = 16

Divide both sides by -2.

r = -8

So the solution to the equation would be r = -8.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

x= 7

Step-by-step explanation:

I got 7 by subtracting 67-7 and i got 60 so x equals 7

Answer:

43%

Step-by-step explanation:

Orinally the decimal percentage is 43.1034% so we just round to 43%

Answer:

43.1`

Step-by-step explanation:

my friend helped me :)

Answer:

6 days

Step-by-step explanation:

1050 divided by 175 is 6

Answer:

6

6 times 175 equals 1050

Answer:

The question is not clearly stated, but I can correctly infer that you wanted to ask the question below:

Out of 150 members, 120 took part, what is the percentage of the total that took part:

Answer:

80%

Step-by-step explanation:

The question is asking us to find what percentage of 150 is 120

Let the percentage of 150 that is 120 be x

x % of 150 = 120

x/100 × 150 = 120

0.01x × 150 = 120

0.01x = 120 ÷ 150 = 0.8

x = 0.8 ÷ 0.01 = 80

∴ 120 = 80% of 150

Answer:

1789

it is so easy looser

The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.

We can create a system of equations based on the given information:

Equation 1: 7p + 5m = 7.25 (from the first bracelet)

Equation 2: 9p + 3m = 6.75 (from the second bracelet)

To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:

Multiplying Equation 1 by 3:

21p + 15m = 21.75

Multiplying Equation 2 by 5:

45p + 15m = 33.75

Now, subtract Equation 1 from Equation 2:

(45p + 15m) - (21p + 15m) = 33.75 - 21.75

Simplifying, we get:

24p = 12

Divide both sides by 24:

p = 0.5

Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':

7(0.5) + 5m = 7.25

3.5 + 5m = 7.25

5m = 7.25 - 3.5

5m = 3.75

Divide both sides by 5:

m = 0.75

Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.

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Log (10^6x) =

6x ,

then

10^n = 10^6x

So then we obtain

n= 6x

Then answer is

OPTION A) 6x

Answer: A. 6x

Step-by-step explanation:

\(log10^{6x}=\\\\6x(log10)=\\\\6x(1)=\\\\6x\)

Answer:

a, b, and c are represented by the graph.

Step-by-step explanation:

i hope this helps :)

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

3x + 6y = 108

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

In order to find the time required, we can use the formula below for compound interest:

Where I is the interest, P is the principal, r is the rate and t is the time.

So, for I = 143.5, P = 3500 and r = 0.0825, we have:

Therefore it will take 0.5 years to achieve this interest.

Answer:

Part of the solution region includes a negative number of tomato plants in a row; therefore, not all solutions are viable for the given situation.

Step-by-step explanation:

got right on edmentum/plato

Answer:

f

Step-by-step explanation:

its is that because it would mean he would be going 65 whuch its asking for a general speed.

Answer:

ok

Step-by-step explanation:

Answer:

3 x 5

Step-by-step explanation:

The dimension of a matrix is normally represented in form of:

number of rows x number of columns

In the given matrix, there are 3 rows and 5 columns.

=> The dimension of this matrix is 3 x 5

=> Option D is correct

Hope this helps!

The minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing is 43.303°

The shape of problem varies. For this inquiry, we'll presume

The ball is thrown 24 meters away from a building at a 53° angle.

2.20 seconds pass before the ball reaches the structure.

The fence is 6.4 metres high.

In this instance, the equation of motion is...

h(x, ) = 4.9x(tan()-4.9x/(vcos())2)

where h(x) = height at distance x, = angle of launch, and vx = ball's horizontal speed

The ball launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That's, the speed in the direction of launch is

 (24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)

For the question at hand, we need to find α such that ...

 h(24) = 6.4

Substituting into the above equation gives ...

 6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)

 6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint

If we let z represent tan(α), this can be written in standard form as ...

 8.5894922·z^2 -24z +14.989492 = 0

Then the minimum solution (by the quadratic formula) is ...

 z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)

 z = 0.94244774

And the angle is ...

 α = arctan(z) = arctan(0.94244774) ≈ 43.303°

The teacher must launch the ball at an angle of at least 43.3° to clear the railing.

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Step-by-step explanation:

Closest square root to 294 is 17(289) + 5

294 --> 9 is 287.

289 - 287 = 2.

2 is the biggest positive integer