find x...............................

Answer:

The current age of Mike is 12 years old while that of Tom is 2 years old.

Step-by-step explanation:

Let the current age of Mike be m years old and that of Tom be t years old.

Currently

m= 2t +8

3 years from now

Tom's age= t +3

Mike's age

= m +3

= 2t +8 +3

= 2t +11

Given that in three years, Mike's age is 3 times Tom's age,

2t +11= 3(t +3)

Expand:

2t +11= 3t +9

3t -2t= 11 -9

t= 2

Current age of Mike

= 2t +8

= 2(2) +8

= 4 +8

= 12

Answer:

a. 7 Ω

b. 5 Ω

c. 4.472 Ω

Step-by-step explanation:

a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.

So, z = R + R' = 4 Ω + 3Ω = 7 Ω

b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)

z = √((4 Ω)² + (3 Ω)²)

z = √(16 Ω² + 9 Ω²)

z = √(25 Ω²)

z = 5 Ω

c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]

z = √((4 Ω)² + (3 Ω - 1 Ω)²)

z = √(16 Ω² + (2 Ω)²)

z = √(16 Ω² + 4 Ω²)

z = √(20 Ω²)

z = √(4 × 5) Ω

z = √4 × √5 Ω

z = 2√5 Ω

z = 4.472 Ω

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

10sin(53) = 7.986... = 8.0

Answer:

-11.01 or -11

Step-by-step explanation:

x-10x=100

1x-10x=100

-9x = 100

-9x/-9 =100/-9

x = -11.01

No calculator used

Answer:

Z-7

6-7

-1

Step-by-step explanation:

we have to replace the value of Z and then subtract by seven.

[tex]\sf \: z = 6 \\ \\\sf z - 7 \\ \sf = (6) - 7 \\ \sf = 6 - 7 \\ = \underline{\bf - 1}[/tex]

-> Just substitute the value of z in the equation & you'll get the required solution.

Answer:

34 pi

Step-by-step explanation:

Use formula for circumference, 2 pi r

Find the circumference for both circles because both circles circumference are included in the shaded region

Answer:

1 9/16 metres

Step-by-step explanation:

h = 25 ( 1/2)^n  where n is the number of bounces

let n = 4 bounces

h = 25 ( 1/2)^4

h = 25 ( 1/16)

h = 25/16

h = 1 9/16 metres

Now we have to,

find the height of the ball after 4 bounces.

→ h = 25 (1/2)^n

→ n is the number of bounces

Then keep n as 4 bounces,

→ 25 (1/2)^n

→ 25 (1/2)^4

→ 25 (1/16)

→ 25/16 m {or} 1 9/16 m

Thus, height of the ball is 25/16 m.

Answer:

Step-by-step explanation:

Mean

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2.

Mode

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

The smallest volume  of ice cream in Brand A.

Given:

Brand A:

height of cone = 15 cm

radius of cone base = 4 cm

Brand B:

height of cone = 12 cm

radius of cone base = 5 cm

Volume of cone = 1/3πr² h

Volume of ice cream A = ( π [tex]4^2[/tex] (15) ) /3 = 240 π/3 = 80 π

Volume of ice cream B = ( π [tex]5^2[/tex] (12) ) /3 = 300 π/3 = 100 π

In comparison, you can figure out which one would give her more volume of ice cream in Brand A.

Therefore, the correct answer is option A. Brand A.

To learn more about the volume of cone

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Answer:

So, we get

$25+4n = $53 is the required equation.

Therefore, $25+4n = $53  equation can be used to determine how many times Bella worked out after hours.

Step-by-step explanation:

The total monthly bill of the gym = $53

The cost of membership of a month = $25

Let 'n' be extra the number of hours Bella worked on.

The cost for working on extra hours = $4

So, we have to determine the equation, Bella worked out after hours.

We will determine the equation by:

(Monthly cost of membership) + ( cost for extra hours  number of hours extra worked on )  = Total monthly bill received

Answer:

How do you expect me to do all of that lol

Step-by-step explanation:

Answer:

$44064

Step-by-step explanation:

Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.

3672 * 12 = $44064

Given:

Taxi travels for 126 km.

Starting time = 9:15

Reaching time = 10:45

To find:

The average speed, in km/h.

Solution:

We have,

Distance = 126 km

Time = 9:15 to 10:45

        = 1 hour 30 minutes

        = 1.5 hour                        [1 hour = 60 minutes]

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed=\dfrac{126}{1.5}[/tex]

[tex]Speed=84[/tex]

Therefore, the average speed to the taxi is 84 km/h.

Answer:

KJ = 6

Step-by-step explanation:

KJ = 1/2 * EG

=1/2 * 12

=6

Answer:

Step-by-step explanation:

4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm)   {Group terms}

                                            =4m²(m - 2) + 12xm(m - 2)    {Factor terms}

                                            = (m - 2)(4m²  + 12xm)

                                            =(m -2) 4m(m + 3x).

Answer:

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

Step-by-step explanation:

4m^3 + 12xm^2 - 8m^2 - 24xm

= 4m(m^2 + 3xm - 2m - 6x)

= 4m(m(m+3x) - 2(m+3x))

= 4m(m+3x)(m-2)

Answer:

Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.

Work Shown:

a^2 + b^2 = c^2

x^2 + 10^2 = 15^2

x^2 + 100 = 225

x^2 = 225 - 100

x^2 = 125

x = sqrt( 125 )

Answer:

5 choose 4

[tex]=\frac{5!}{4!\left(5-4\right)!}[/tex] = 5

Step-by-step explanation:

Answer:

The answer is 0 .... solution is X+1 the REMAINDER IS 0

Step-by-step explanation:

The remainder when (x³ + 1) is divided by (x² - x + 1) is 0.

The correct option is D.

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

We can use polynomial long division to find the remainder of (x³ + 1) divided by (x² - x + 1):

                 x + 1

                 -------------

x² - x + 1 | x³ + 0x² + 0x + 1

              - (x³ - x² + x)

               ---------------

                      x² - x + 1

                   - (x² - x + 1)

                      -------------

                      0

Therefore, the remainder when (x³ + 1) is divided by (x² - x + 1) is 0.

To learn more about Polynomials;

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Answer:

Step-by-step explanation:

The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

10÷5 = 2, 2+2 =4, answer is 4

Answer:

A

Step-by-step explanation:

plz give brainliest

Answer:

AC is the longest side

AB is the shortest side

Step-by-step explanation:

We can find the third angle

A+B+C = 180

55+80+C = 180

135+C = 180

C = 180-135

C =45

The longest side is opposite the largest angle

B is the largest angle so AC is the longest side

C is the the smallest angle so AB is the shortest side

Answer:

Step-by-step explanation:

Answer:

Surface Area=208 cm²

Step-by-step explanation:

Surface Area= 2×l×w+2×l×h+2×h×w

SA= 2×11×4+2×4×4+2×11×4=208

Answer:

What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.