Simplify the expression (7 + 9i)(8 - 10i)

Answer:0.124402866242

Step-by-step explanation:here’s my attempt: dv/dt=d/dt(4pi/3r^3). 100=d/dt((4pi/3)*(8+X*t)^3) at t=0. 100/(4(pi)*8^2)=x where x is the rate of change of the radius. Not 100% sure though

Answer:

True.

Keys:

Step-by-step explanation:

[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]

What was shown throughout this problem?

We showed that two different sides are capable of taking the same form.

The correct function shown in the graph is,

⇒ log₁₀ (ax) = 1

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It has been given that the point (3,1) is on the graph. For the point (3,1) to be on the graph, the following must hold true:

⇒ log₁₀ (ax) = 1

or , ax = 10¹ = 10

Thus, x  = 10/a

So, in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option D, that is, when a = 3. That will make x = 3.33 and thus, .

⇒ log (3 × 3.33) = 0.99 ≈ 1

Thus, out of the given options only Option D seems to be the most probable answer.

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Answer: 91 coins

9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents

Answer:

the circumference is 30 cm,

Step-by-step explanation:

Hope it helps

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin52=\dfrac{AC}{BC}[/tex]

[tex]\\ \rm\Rrightarrow sin52=\dfrac{9.2}{B C}[/tex]

[tex]\\ \rm\Rrightarrow B C=\dfrac{9.2}{sin52}[/tex]

[tex]\\ \rm\Rrightarrow B C=9.3[/tex]

Answer:

11.7  (3 s.f.)

Step-by-step explanation:

Given information:

As one of the given angles is 90°, the triangle is a right triangle.

Draw the triangle using the given information (see attached) to help visualize the problem.

To calculate the length of BC, use the sine trigonometric ratio:

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the attached triangle:

Substitute the values into the formula and solve for BC:

[tex]\implies \sf \sin(52^{\circ})=\dfrac{9.2}{BC}[/tex]

[tex]\implies \sf BC=\dfrac{9.2}{\sin(52^{\circ})}[/tex]

[tex]\implies \sf BC=11.67496758...[/tex]

[tex]\implies \sf BC=11.7\:\:(3 \:s.f.)[/tex]

Therefore, the length of BC is 11.7 (3 s.f.).

Answer:

Tn= a+( n-1) 3

Tn= 9+(n-1)3

Answer:

Step-by-step explanation:

there are infinite numbers between 2 and 3 having average=2.5

2.49,2.51

2.48,2.52

2.47,2.53

2.46,2.54

.................

2.491,2.509

2.492,2.508

2.493,2.507

......................

Answer: None

Step-by-step explanation:

There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

Answer:

7

Step-by-step explanation:

you just multiply from the least and once you get to the greatest, it should be 7

Answer:

1 apple

Step-by-step explanation:

unless you are a psycho who counts the one he ate as still in his possession,

therefore 2 - 1 = 1

hope this helps:)

Answer:

g^-1(5)=10/3

Step-by-step explanation:

g(x)=3x-5

g(x)= y

g^-1( y)=x

3x-5=y

3x=y+5

x=y+5/3

g^-1(y)=y+5/3

g^-1(5)=5+5/3

g^-1(5)=10/3

The value of the quotient of 0.378 ÷ 0.3 is 1.26

The quotient of 0.378 ÷ 0.3 is

The expression is given as:

0.378 ÷ 0.3

Rewrite as a fraction

0.378/0.3

Multiply the fraction by 1

Express 1 as 1000/1000

0.378/0.3 * 1000/1000

Evaluate the product

378/300

Divide 378 by 300

1.26

Hence, the quotient of 0.378 ÷ 0.3 is 1.26

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Answer:

-7/25

Step-by-step explanation:

=(1/5) ÷ (-5/7)

Copy dot flip

=(1/5) * (-7/5)

=-7/25

Answer:

1. 2507.034 g

2. 1243mg

   0.001243kg

   1,243,000 mcg

3. 162.5g

Step-by-step explanation:

1. First of all we need to convert 30mg and 2.5kg to gram.

⇒ 1 gram = 1000 milligrams

         x     =  35mg  

⇒ 1000mg(x) = 35mg

⇒ x = 35mg    =   35   =  0.035g

        1000mg    1000

Next we convert 2.5kg to gm.

⇒ 1 kilogram = 1000g

     2.5kg   =   x  

(We then criss cross)

⇒ x = 2.5kg × 1000g = 2500g  = 2500g

                 1kg                    1

Now that we converted them all to gram, we will add them.

⇒ 30mg + 2.5kg + 7g = 0.035g + 2500g + 7g = 2507.035 ≈ 2507g

2.  We convert 1.234g into

a. mg

⇒ 1 gram = 1000 milligram

    1.243g = x

⇒ x = 1.243g × 1000mg = 1243mg = 1243mg

                1g                      1

b. kg

⇒ 1 kilogram = 1000gram

                  x =   1.243 gram

⇒ x = 1.243g × 1kg  =   1.243kg = 0.001243kg = 1.243 × 10⁻³ kg

                1000g            1000

c. mcg

⇒  1 gram = 1000000mcg

    1.243g =  x

⇒ x = 1.243g × 1,000,000mcg  = 1,243,000mcg = 1,243,000mcg

                        1 g                                   1

3. We need 500 aspirin, the amount of grams needed and we know that one tablet contains 325mg.

So now we can derive the formula such that:

⇒ 1 tablet      = 325mg

   500 tablet =  x

But first we need to convert 325mg to grams.

⇒ 1 gram = 1000mg

      x   =  325mg

⇒ x = 325mg × 1 g = 325g = 0.325g

              1000mg     1000

So now instead of using 325mg we can use 0.325g.

⇒ 1 tablet   =  0.325g

    500 tablets =  x

⇒ x = 500 tablets × 0.325g  =  162.5g = 162.5g

                      1  tablet                   1

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

      3x = 70

        x = 23.33

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Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

The measure of ∠ABP and ∠ABC are 32° and 64° respectively.

Any line which divides an angle into two equal halves is a bisector of that angle.

Analysis:

Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.

∠ABC = ∠ABP + ∠PBC

∠ABC = 32 + 32 = 64°

In conclusion, ∠ABP and ∠ABC are 32° and 64°

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Answer:ABP is 32 degrees, and ABC is 64 degrees

Step-by-step explanation: bi hope this helped if not sorry:)

Answer:

The answer is 0.0000036.

Step-by-step explanation:

Move the decimal place 6 spaces to the left. I hope this helps! :)

Answer:

therees nothing here to help you with?

Step-by-step explanation:

srry abt that but add the square number

The linear function that has a different rate of change from y = -3x+4 is A, a function with a y-intercept of -4 that passes through the point (-3,-13)

An intercept is the point where a straight line or a curve meets with the x or y axes.

Analysis:

The rate of change is the same as slope. The slope of y = -3x + 4 is -3,

All other functions Except A have a slope of -3.

for linear function A,

if y = mx + c, c = -4, x = -3, y = -13

-13= -3m - 4

-3m = -9

m = 3

In conclusion, linear function A with a y-intercept of -4 passing through the point (-3,-13) has a different rate of change from y = -3x + 4

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Answer:

The answer would be Set: "S" = the set of natural numbers greater than 11.

Hope this helps!

Answer:

c = speed of current = 3 km/hr

r = speed of boat in still water = 15 km/hr

Step-by-step explanation:

Use the formula distance = time x rate to set up these equations

45 = 2.5 (r+c)

39 = 3.25 (r-c)

(r + c) is the speed of the boat added to the speed of the current, downstream

(r - c) is the speed of the boat minus the speed of the current, upstream

Use one equation to isolate a variable then substitute it into the other equation to solve the system.

39/3.25 = r - c

12 + c = r

45 = 2.5 ( 12 + c + c )

18 = 12 + 2c

6 = 2c

c = 3

Then use the equation 12 + c = r from above

12 + c = r

12 + 3 = 15

r = 15 km/hr

Answer:

The answer is B. 13.7 inches

i hope this can help you! :)

The area, to the nearst square inch, of a circle the same size az the bicycle wheel is  531 inches².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 22/7

R = radius

The full rotation of the wheel is equal to the circumference of the wheel.

circumference of the wheel = 2 πr

26π = 2 πr

r = 13 inches

Area = 22/7 x 13³ = 531 inches²

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Answer: [tex]54^{\circ}[/tex]

Step-by-step explanation:

Because reflections are rigid motions, we know that [tex]\triangle ABC \cong \triangle A'B'C'[/tex], and thus [tex]\angle B \cong \angle B'[/tex].

It follows that since angles in a triangle add to 180 degrees, [tex]m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}[/tex]

Answer:

1.0452

Step-by-step explanation:

10*sin6

10*0.1045

the answer is 1.0452

Answer: [tex]\angle XWY \cong \angle ZWY[/tex]

Step-by-step explanation:

We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]