What is the product of ( 7 − 3 i ) × ( 4 + i ) ?

Answer:

40

Step-by-step explanation:

5 × 8 = 40

1 × 40 = 40

2 × 20 = 40

Answer:

B. 12/13

Step-by-step explanation:

Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]

hypotenuse=13

opposite= 5

adjacent= 12

Cosine= adjacent/hypotenuse

cosine= 12/13

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

Answer:

y = -2 and x = 5

Step-by-step explanation:

2x + 3y = 4

-2x - y = -8

Since this is a system of equations, we can either substitute or subtract. I will be subtracting.

2x + 3y - 2x - y = 4 - 8

2y = -4

y = -2

Now that we have y, we will plug it in for the first equation and solve.

2x + 3(-2) = 4

2x - 6 = 4

    + 6  + 6

2x = 10

x = 5

slope: -1/4

y-int: -1

y=(-1/4)x-1

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Answer:

Lateral Surface Area = 94.25 cm²

Surface area = 150.8 cm²

Step-by-step explanation:

A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Step 1

We have to find the radius of the cylinder

We are told in the question that:

The circumference of one circle is 18.84 cm

Circumference of a circle = 2πr

18.84cm = 2πr

r = 18.84/2π

r = 2.9984791279cm

Approximately the radius = 3cm

Step 2

We find the Lateral Surface Area of the Cylinder

The formula =2πrh

r = 3cm

h = 5cm

=2×π × 3 × 5

= 94.24778 cm²

Approximately = 94.25 cm²

Step 3

We find the Surface Area of the Cylinder

The formula =2πr(r + h)

r = 3cm

h = 5cm

=2×π × 3 × 5(3 + 5)

= 150.79645 cm²

Approximately = 150.80 cm²

Answer:

41

Step-by-step explanation:

Answer:

64 times larger

Step-by-step explanation:

8^3=512

2^3=8

512/8=64

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer: 628

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(5)^2+2(3.14)(5)(15)

2(3.14)(25)+2(3.14)(75)

2(78.5)+2(235.5)

157+471

628

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

Answer:

C. 4 cm

Step-by-step explanation:

"Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle."

So, divide 8 by 2

⇒8/2

⇒ 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

Stay strong!

Love,

    -Aadi x

Answer:-23+57=34  and 57 + -23 =34

                                                                                                       |    

Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80

regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .

Answer:

201.06

Step-by-step explanation:

Answer:

SA = (3 x 12) + (3 x 4) = 36 + 12 = 48 cm²

Step-by-step explanation:

9 + 12 + 2(⁷/2) + 15 = 9 + 12 + 7 + 15 = 43 ===> surface area.

Hope to helpfull

Answer:

Length of the segment of a secant 'x' is 4 cm.

Step-by-step explanation:

If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.

By this property,

[tex]4\times x = 8^2[/tex]

[tex]4x = 64[/tex]

[tex]x=\sqrt{16}[/tex]

[tex]x=4[/tex] cm

Therefore, length of the segment of a secant 'x' is 4 cm.

Answer:5/8 fraction of the deposit has been spent, which is 20 liters

Let "a" be the initial amount of water, then first half the water is used: then a / 2 of water is used and the other half is left at / 2 * (1/4), then the fourth part is used: then 1/8 * a is used, so now it remains: a / 2 - a / 8 = 3/8 * a, so 5/8 * a has been used, then what remains are 12 liters:

3/8 * a = 12 L

a = 12 L * 8/3 = 32 L

Wasted: 32 L - 12 L = 20 L

You can visit: brainly.lat/tarea/13597443

Answer:

Marta spent a total of $34.29

Step-by-step explanation:

Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29

3 times $8.50 = $25.50

5 times $1.25 = $6.25

$25.50 + $6.25 = $31.75

Answer:

b, d, and e are the three statements that make the most sense to be true.

Step-by-step explanation:

tell me if this is wrong.