Solve for x in the diagram below.
120°
3x
0
2=

Answer:

The answer is p(5p+13).

Step-by-step explanation:

You have to take out the common factors :

[tex]5 {p}^{2} + 13p[/tex]

[tex] = p(5p + 13)[/tex]

Therefore, the factorisation stop here. As 5 and 13 are not common to each other.

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...

Answer:   A. mark as brainliest

Step-by-step explanation: dont need to

Answer:

Step-by-step explanation:

The closed dot at (0, 9) indicates that that's where the graph begins.  The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as

{x | x ≥ 0}

Answer:

He'll have approximately $8723.3 on his account in five years.

Step-by-step explanation:

Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:

[tex]M = C*(1 + r)^t[/tex]

Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:

[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]

He'll have approximately $8723.3 on his account in five years.

Answer:

20

Step-by-step explanation:

20 is your answer

Answer:

32•z^4•s^7

20w^9

Step-by-step explanation:

We simply use the multiplication law of indices to work these out.

1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7

2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9

Answer:

11x

Step-by-step explanation:

(x + 2)(x + 9)

x2 + 9x + 2x + 18

x2 + 11x + 18

This is one possibility :)

Answer: We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.

Answer:

Hope it helped you.

Step-by-step explanation:

It was hard to type on a keyboard so I did it somewhere else...

Answer:

[tex]270 \:m^2[/tex]

Step-by-step explanation:

The area of the triangle.

[tex]bh\frac{1}{2}[/tex]

[tex]b \times h \times \frac{1}{2}[/tex]

[tex]20 \times 27 \times \frac{1}{2}[/tex]

[tex]540 \times 1/2[/tex]

[tex]=270[/tex]

The area of triangle would be;

⇒ Area of triangle = 270 m²

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Here, Given that;

Base of triangle = 20 m

Height of triangle = 27 m

Now, We know that;

Area of triangle = 1/2 × Base × Height

Substitute all the values, we get;

⇒ Area of triangle = 1/2 × Base × Height

⇒ Area of triangle = 1/2 × 20 × 27

⇒ Area of triangle = 270 m²

Thus, The area of triangle would be;

⇒ Area of triangle = 270 m²

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Answer:

3.93258426966

Step-by-step explanation:

To 1 d.p = 3.9

Answer:

≈3.9 (3.932584269662921...)

OR

3 R 166

OR

[tex]3\frac{83}{350}[/tex]

Step-by-step explanation:

700÷178=3.932584269662921

700÷178=3 R 166

700÷178=

[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]

If you wanted it in decimal form, the decimal would be infinite.

If you wanted it with a remainder, it's 3 R 166

If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]

Answer:

what u need help with

Step-by-step explanation:

Answer: the correct answer will be 27/31

Step-by-step explanation:

Answer:

[tex]27.6^\circ[/tex]

Step-by-step explanation:

Given:

A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]

ST = 44 feet

TR = 84 feet

To find:

[tex]\angle R = ?[/tex]

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].

We know that formula for tangent of angle [tex]\theta[/tex] is given as:

[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here, Perpendicular for [tex]\angle R[/tex] is side ST and

Base is side TR.

Putting the values in above tangent formula:

[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]

Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.

Answer:

66.1

Step-by-step explanation:

Answer:

[tex]15\:cm[/tex]

Step-by-step explanation:

Use the formula for the volume of a cuboid.

[tex]V=lwh[/tex]

[tex]80\:mm=8\:cm[/tex]

[tex]360=3 \times 8 \times h[/tex]

[tex]360=24 \times h[/tex]

[tex]360 \div 24 = h[/tex]

[tex]15=h[/tex]

The height of the cuboid 15 cm.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

The volume of a cuboid is 360cm3.

The length is 3cm and the width is 80mm.

now,

80mm=8cm

volume= l*w* h

i.e. 360 = 3* 8*h

so, h= 15

Hence, The height of the cuboid 15 cm.

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Answer:

a) |z+w|² cannot be uniquely determined from the information provided.

b) |zw|² = [|z| × |w|]² = (4×2)² = 64.

c) |z+w|² cannot be uniquely determined from the information provided.

d) |z/w|² = [|z|/|w|]² = (4/2)² = 4

Step-by-step explanation:

z & w are complex numbers with magnitudes

|z| = 4

|w| = 2

We are the told to find

|z + w|²

|zw|²

|z - w|²

|z/w|²

Let the complex numbers be

z = x + iy

w = a + ib

|z| = √(x² + y²) = 4

|w| = √(a² + b²) = 2

|z|² = x² + y² = 16

|w|² = a² + b² = 4

z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)

|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²

= (a² + b²) + (x² + y²) + 2ax + 2by

= |w|² + |z|² + 2ax + 2by

= 4 + 16 + 2ax + 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

zw = (x + iy)(a + ib) = ax + i(bx + ay) - by

= (ax - by) + i(bx + ay)

|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy

= a²x² + b²y² + b²x² + a²y²

= a²(x² + y²) + b²(x² + y²)

= (a² + b²)(x² + y²)

= |w|² × |z|²

= 4×16

= 64

c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)

|z-w|² = (x - a)² + (y - b)²

= x² - 2ax + a² + y² - 2by + b²

= (a² + b²) + (x² + y²) - 2ax - 2by

= |w|² + |z|² - 2ax - 2by

= 4 + 16 - 2ax - 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

d) z/w = (x + iy)/(a + ib)

Rationalizing by multiplying numerator and denominator by (a - ib)

(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]

= [ax - by + i(ay - bx)]/(a² + b²)

|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²

= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)

= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]

= [(a² + b²)(x² + y²)]/[(a² + b²)²]

= [(x² + y²)/(a² + b²)]

= |z|²/|w|²

= (4/2)²

= 4

Hope this Helps!!!

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

Answer:

2%

Step-by-step explanation:

Solution

0.02*100%

=2%

hope it helps...

Good luck on your assignment

Answer:

4.06451 hours

note this answer is not rounded as you did not indicate round to what decimal values.

Step-by-step explanation:

Solving using equation

500 ≤ 248 + 62x

500-248 ≤  62x

252 ≤  62x

252/62 ≤  x

4.06451 ≤  x

Another way to solve

500-248= 252

she needs to travel 252 miles

speed = 62mph

note: speed =  distance/time

therefore time= distance/speed

time = 252/62 = 4.06451

Number of hours Sierra needs to travel to meet her goal is 4.065 hours.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Sierra wants to drive at least 500 miles today.

She has already driven 248 miles.

Remaining distance is driving at a constant speed of 62 miles per hour.

Let the time needed for the remaining distance to complete is x.

Speed = Distance / Time

Distance = Speed × Time

Distance = 62x

Total distance covered = 248 + 62x

This must be at least 500.

248 + 62x ≥ 500

62x ≥ 500 - 248

62x ≥ 252

x ≥ 252 / 62

x ≥ 4.065

Hence Sierra has to drive at least 4.065 hours to meet her goal.

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Answer:

52 people

Step-by-step explanation:

Answer:

8 ejercicios

Step-by-step explanation:

De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:

x+y= 45 (1)

7x-1y= 19 (2)

x= ejercicios que resolvió bien

y= ejercicios que resolvió mal

Primero, puedes despejar x en (1):

x= 45-y (3)

Segundo, debes reemplazar (3) en (2):

7(45-y)-1y=19

315-7y-1y= 19

315-8y= 19

315-19= 8y

296= 8y

y= 296/8

y= 37

Tercero, debes reemplazar el valor de y en (3) para encontrar x:

x= 45-37

x= 8

De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.

Answer:

96

Step-by-step explanation:

Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.

Answer:

8%

Step-by-step explanation:

The Cost price is = 49.31

The Selling price is = 41.91

The profit is =-7.4

The percentage decrease of the price of the shirt is hence=

=41.31/49.31 * 100

= 8%

Hence, 8% is the percentage of the decrease of the price of the shirt.

Answer:

-1,9

Step-by-step explanation:

You use the equal values method to combine the two equations

-3x+6=9

then subtract 6 on both sides of the equal sign

      nine minus six is 3

-3x=3

divide negative three on both sides to isolate the x value

to get....

x=-1

then plug the x value back in to find the y value

(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK

3+6 is 9

9=9 check!

Answer:C -(-1,9)

Step-by-step explanation:

The inequality that represents all x values is [tex]x \ge 4[/tex]

The expression is given as:

[tex]\sqrt{x - 4} \cdot \sqrt{x + 1}[/tex]

Set the radicands to >=0

[tex]x - 4 \ge 0[/tex] or [tex]x + 1 \ge 0[/tex]

Solve for x in both inequalities

[tex]x \ge 4[/tex] or [tex]x \ge -1[/tex]

When [tex]x \ge -1[/tex], the first radicand is irrational from some x values

Hence, the inequality that represents all x values is [tex]x \ge 4[/tex]

Read more about inequalities at:

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Answer:

8.8

Step-by-step explanation:

4.5-0.2=4.3

The difference is 4.3 add 4.3 to 4.5=8.8

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.

Answer:

About $5.33

Step-by-step explanation:

If u want to find out How many dollars per hour u do 48 divided by 9

Hope this helps

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!