The points A, B, C and D lie on a circle. CDE is a straight line. BA=BD, CB=CD, Angle ABD =32 degrees Work out the size of angle ADE. You must give a reason for each stage of working.

The Points A, B, C And D Lie On A Circle. CDE Is A Straight Line. BA=BD, CB=CD, Angle ABD =32 Degrees

Answers

Answer 1

Answer:

[tex]\angle ADE =[/tex] [tex]69^\circ[/tex]

Step-by-step explanation:

Given:

[tex]\angle ABD = 32^\circ[/tex]

BA = BD

CB = CD

In [tex]\triangle ABD:[/tex]

BA = BD

We know that in a triangle, angles opposite to equal sides will also be equal.

[tex]\Rightarrow \angle BAD = \angle BDA[/tex]

We know that sum of internal angles of a triangle is equal to [tex]180^\circ[/tex]

[tex]\angle BAD + \angle BDA +\angle ABD=180^\circ\\\Rightarrow \angle BAD + \angle BDA +32=180\\\Rightarrow \angle BAD + \angle BDA = 180 -32\\\Rightarrow \angle BAD + \angle BDA = 148\\\Rightarrow \angle BAD = \angle BDA = \dfrac{148}{2} = 74^\circ[/tex]

Quadrilateral ABCD is cyclic so, sum of opposite angles is equal to [tex]180^\circ[/tex].

[tex]\angle BAD + \angle BCD = 180^\circ\\\Rightarrow 74 + \angle BCD = 180\\\Rightarrow \angle BCD = 180-74 = 106^\circ[/tex]

In [tex]\triangle BCD:[/tex]

BC = CD

We know that in a triangle, angles opposite to equal sides will also be equal.

[tex]\Rightarrow \angle DBC = \angle CDB[/tex]

We know that sum of internal angles of a triangle is equal to [tex]180^\circ[/tex]

[tex]\angle DBC + \angle BCD +\angle CDB=180^\circ\\\Rightarrow \angle DBC + 106 +\angle CDB=180\\\Rightarrow \angle DBC +\angle CDB=180 - 106\\\Rightarrow \angle DBC =\angle CDB=\dfrac{74}{2} = 37^\circ[/tex]

It is given that the line CDE is a straight line, so the sum of angles on one side of point D is [tex]180^\circ[/tex].

[tex]\angle CDB + \angle BDA +\angle ADE = 180^\circ\\\text{Putting values of } \angle CDB \text{ and }\angle BDA:\\\Rightarrow 37 + 74 + \angle ADE = 180\\\Rightarrow \angle ADE = 180 -111\\\Rightarrow \angle ADE = 69^\circ[/tex]

So, the answer is [tex]\angle ADE =[/tex] [tex]69^\circ[/tex]

Answer 2

The size of ∠ADE of the cyclic quadrilateral is;

∠ADE = 53°

We are given;

BA = BD

CB = CD

∠ABD = 32°

Now, ΔABD is an isosceles triangle and since sum of angles in a triangle is 180°, then;

∠ABD + ∠BAD + ∠BDA = 180°

∠BAD + ∠BDA = 180 - 32

∠BAD + ∠BDA = 148°

Since isosceles, then;

∠BAD = ∠BDA = 148/2

∠BAD = ∠BDA = 74°

Now, in cyclic quadrilaterals, opposite angles are supplementary and as such add up to 180°. Quadrilateral ABCD is cyclic and Thus;

∠BAD + ∠BCD = 180°

74 + ∠BCD = 180°

∠BCD = 180 - 74

∠BCD = 106°

ΔBCD is an isosceles triangle and as such;

∠CBD = ∠CDB = 106/2

∠CBD = ∠CDB = 53°

Now, sum of angles on a straight line add up to 180°. Thus;

∠CBD + ∠BDA + ∠ADE = 180°

Plugging in the relevant values gives;

53° + 74° + ∠ADE = 180°

∠ADE = 180 - (53 + 74)

∠ADE = 53°

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Related Questions

Evaluate: 14/2 - 3 + 6/3

Answers

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

Answer:

[tex]6[/tex]

[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]

74.88 rounded to three significant figures?

Answers

Answer:

74.9

Step-by-step explanation:

Round to the tenths place.

Answer:

74.9

Step-by-step explanation:

When the question asks for something to be rounded to 3 significant figure,

then round in such a way that there are only 3 non-zero digits in the number.

Hope this helps.

Good Luck

evaluate -5+(-5r)+10

Answers

It is 5(1-r). The 5 is not negative because you add the ten.

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily

Answers

Answer:

A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

i did this question already

hope this helps

Answer:

it's C

Step-by-step explanation:

10x+9=4x -9 solve

please help

Answers

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.Subtract 4x from both sides of the equation. This gives you 6x = -18.Divide both sides by 6. This gives you x = -3

The final answer is x = -3

Solve The System Of Equations

Answers

Answer:

x=4, y=-7

Step-by-step explanation:

A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55

B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21

A) + B) ---->  19x = 76 --------> x = 4

-8 . 4 - 3y = -11

-32 - 3y = -11

32 + 3y = 11

3y = 11 - 32

3y = -21

y = -7

x=4 :)) and y=-7 :)) hope this helps

Rename 1 3/4 as an improper fraction.

Answers

Answer:

7/4

Step-by-step explanation:

1 3/4=1 x 4=4 + 3=7/4

What are the foci of the hyperbola represented by the equation (x^2)/64 - (y^2)/32 =1

Answers

Answer:

x = √2y^2 + 64 or x = √2y^2 + 64

Step-by-step explanation:

Solve for x.

x^2/64 - y^2/32 = 1

Step 1: Add 1/32 y^2 to both sides.

1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2

Step 2: Divide both sides by 1/64.

1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64

x^2 = 2y^2 + 64

Step 3:

x = √2y^2 + 64 or x = √2y^2 + 64

Answer:

x = √2y^2 + 64

Step-by-step explanation:

= 1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2

= 1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64

= x^2 = 2y^2 + 64

= x = √2y^2 + 64

Hope this helps!

∠A=8x−10 ∘
∠B=3x+90 ∘

PLEASE PLEASE HELP OR I WON'T PASS MY MATH CLASS AND I WILL HAVE TO TAKE ANOTHER YEAR OF MATH

Answers

Answer:

Step-by-step explanation:

if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)

8x-10=3x+90

5x=100

x=20

if complementary (together equal 90 degrees)

8x-10+3x+90=90

11x+80=90

11x=10

x=(10/11)

which in decimal form is about 0.90

if supplementary (together equal 180 degrees)

8x-10+3x+90=180

11x+80=180

11x=100

x=(100/11)

which in decimal form is about 9.09

HELP. ITS ABOUT FUNCTIONS! HELPPPPPPPPPPPPPP HELPPPPPPP

Answers

Answer:

B

Step-by-step explanation:

It cannot be C. The Y-intercept of Function W is 30, while the Y-intercept of Function Z is 15.8. Now, we are left with A, B, and D.

It cannot be D, because 30 is not less than 15.8. Now, we are left with options A and B.

Function Z as an equation is approximately y=-1/24x+15.8.

The slopes are NOT equal, so the answer cannot be A.

Explanation why it's B:

1/16 is bigger than 1/24, however, since the fractions are NEGATIVE, -1/16 is actually LESS THAN -1/24. The slopes of Function W is less than the slope of Function Z.

Answer:

B. the slope of function W is less than he slope of function Z

Step-by-step explanation:

Function W:

y= - 1/16x+30

Function Z:

from the table we can see it is decreasing function with step change of -0.04

using the data from the table we can put the function in y= mx + b format:

x=0 ⇒ y= 15.8      ----- interceptx=1 ⇒ y= 15.7615.76- 15.8 = - 0.04= - 4/100 = -1/25     ----- slope

as per above, we get the the form of function Z

y= -1/25x+15.8

we can now compare the slops and intercepts of functions W and Z

m - is the slope: -1/16 and - 1/25

-1/25>-1/16 ⇒ the slope of function W is less than Z

b is the y-intercept: 30 and 15.8

30>15.8 ⇒ the y-intercept of function Z is less

As per above the correct option is

B. the slope of function W is less than he slope of function Z

URGENT: At what annual rate of simple interest must $12,000 be invested to earn $135 in interest each quarter? (I will give brainliest)

Answers

Answer:

4.5%

Step-by-step explanation:

Firstly we should understand that a quarter is every three months.

So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum

We use the simple interest formula to get the rate.

Mathematically;

I = PRT/100

where P is the amount deposited = 12,000

R is what we are looking for which is the rate

T is the time which is 1 year

I is the interest which is 540

We can rewrite the simple interest formula to be:

100I = PRT

R = 100I/PT

Thus substituting the values we have;

R = (100 * 540)/(12,000 * 1) = 4.5%

Answer:

4.5%

Step-by-step explanation:

Using the simple interest formula to tackle this question.

[tex]SI = \frac{PRT}{100}[/tex]

P = principal = $12,000

R = rate (in %) = ?

T = Time(in years) = 1/4 years

135 = [tex]\frac{12000*R}{100*4}[/tex]

[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]

The annual rate of simple interest is 4.5%

The hypotenuse, c, of right triangle ABC is 5.0 cm long. Give the trigonometry ratio cosA=0.50 for angle A, what is the area of the triangle to the nearest tenth of a cm?

Answers

Answer:

[tex]\frac{25\sqrt{3} }{8}[/tex]

Step-by-step explanation:

CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]

Pytagoras

[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]

A = b . a . 1/2

A = [tex]\frac{25\sqrt{3} }{8}[/tex]

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

In the diagram, which two angles are corresponding angles with angle 12?

Angle 8 and Angle 16
Angle 6 and Angle 10
Angle 9 and Angle 11
Angle 5 and Angle 15

Answers

Answer:

It's 8 the answer is 8

Step-by-step explanation:

∠8 and ∠16 are corresponding angles with ∠12  

What is corresponding angles ?

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

According to the question,

Given the diagram we have to find the angles which are corresponding angles with ∠12.

Those angles which are on the same side of traversal called corresponding angles.

By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.

Hence, ∠8 and ∠16 are corresponding angles with ∠12

Option 1 is correct.

To learn more about corresponding angles from here

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Which function has a negative discriminant value?

Answers

Answer:

i believe that the answer is a but if its not that then it must be d

Step-by-step explanation:

sorry if i'm wrong

Answer:

The guy above me is wrong. The answer is B

Step-by-step explanation:

edge

Which expression is equivalent to (- 2c / d^2)^3

Answers

-8c^3/d^6 is equivalent to the expression

Answer:

-8c^3/d^6

You are correct!

Helpppppppp here plz

Answers

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

Answer:

Equation:

123 = x + 12 + x + 3(12 + x)

Solution:

x = 15

Step-by-step explanation:

Jamil: x

Kiera: 12 + x

Luther: 3(12 + x)

Total: 123 badges

Equation:

123 = x + 12 + x + 3(12 + x)

Solve:

123 = x + 12 + x + 3(12 + x)

123 = x + 12 + x + 36 + 3x

123 = 5x + 48

-48           -48

75 = 5x

/5     /5

15 = x

Therefore, the value of x is 15.

You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *

Answers

Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

⇒ Form the equation

→ 2n + 3 = 13

⇒ Minus 3 from both sides to isolate 2n

→ 2n = 10

⇒ Divide both sides by 2 to find the cost of one notepad

→ n = 5

The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

find the derivatives of the following implicit function

Answers

Answer:

[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Step-by-step explanation:

[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]

[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

How is the graph of log (x – 2) + 1 translated from the graph of log x?

Answers

Answer:

See the two translations described below

Step-by-step explanation:

Start with the graph of y = log x.  This graph passes through (1, 0) and exists only for x > 0.  The line x = 0 is its vertical asymptote.

Translating this graph 2 units to the right results in h(x) = log (x  - 2).

Translating the graph of h(x) = log (x  - 2) upward by 1 unit results in the graph of log (x – 2) + 1.

Help I don't understand it.

Answers

Answer:

6/15 * 2/14 = 12/210

Step-by-step explanation:

This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.

In this example, the events are selecting a pineapple cake, then a strawberry cake.

Let's find the probabilities!

There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.

Therefore, the probability of selecting a pineapple cake is 6/15.

Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.

Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.

Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )

Hope this helps! Please feel free to contact me if you have any further questions :)

slope (-5,12)(-17,4)

Answers

So the right answer is 4/11

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 4}{ - 5 - ( - 17)} \\ = \frac{8}{ - 5 + 17} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.


a. b=4

b. b=5

c. b=6

d. b=7

Answers

Answer:

a. b=4

Step-by-step explanation:

[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]

From the attached triangle drawn below:

NL=20,  LM=3b, [tex]\angle L=x^\circ[/tex]

[tex]\sec x =\dfrac{20}{3b}[/tex]

Since we are told that:

[tex]\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4[/tex]

The correct option is A.

Answer:

B= 4

Step-by-step explanation:

I got it right on the test

150 miles converted to kilometres?

Answers

Answer:

erm

Step-by-step explanation:

241.402

plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination

Answers

Answer: x = 5, y = -1

Step-by-step explanation:

Equation 1: 4x + 2y = 18

Equation 2: 3x - 5y = 20

In order to eliminate one of the variables , find the LCM of either x or y.

I chose to eliminate y.  The LCM of 2 & 5 is 10.

Multiply the entire equation so the coefficient of the variable equals the LCM.

Then add the equations and solve for the remaining variable.

5(4x + 2y = 18)       -->        20x + 10y = 90

2(3x - 5y = 20)      -->           6x  - 10y = 40

                                           26x          = 130  

                                          ÷26            ÷26

                                                x         =  5

Next, input x = 5 into either of the equations to solve for y.

Equation 1: 4x + 2y = 18

                 4(5) + 2y = 18

                  20  + 2y = 18

                -20            -20

                           2y = -2

                          ÷2     ÷2

                             y = -1

Determine the value of x in this polygon.

Answers

Answer:

X24

Step-by-step explanation:

Solve and graph. Thank you so much.

Answers

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

What is the value for f(x) = 32x+1 when x = 1/2

Answers

Answer:

9

Step-by-step explanation:

We can solve this by plugging x into the function:

3^(2(1/2) + 1)

=3^(1+1)

=3^2

= 9

Answer: The answer would be 9

Step-by-step explanation:

could i please get brainliest

Write an expression for the situation described. Each person's share if 'p' people share 8 slices of pizza equally.

Answers

Answer:

The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]

Step-by-step explanation:

To divide a pizza, or anything else, equally among a certain number of people, we need to divide the total of pizza available by the number of people who will eat the pizza. In this case there are 8 slices and 'p' people, therefore:

[tex]y(p) = \frac{8}{p}[/tex]

In order to validate the expression, we can see that if 8 people eat the pizza, each gets one slice, because 8 divided by 8 is 1, while if 4 people eat the pizza each get 2 and so on.

The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]

B is the midpoint of AC. Find AB, BC, and AC

Answers

Answer:

9, 9, 18

Step-by-step explanation:

3x=5x-65x-3x=62x=6x=3

AB=3x=9

BC=AB=9

AC=2AB=18

B is mid point of AC

that means,

[tex]\frac{3x + 5x - 6 }{2} = b \\ \: \: \: \: \: \: \: \: \: \: \: \frac{8x - 6}{2}= b \\ \frac{2(4x - 3)}{2} = b \\ b = 4x - 3[/tex]

[tex]3x = 5x - 6 \\ 2x = - 6 \\ x = - 3[/tex]

[tex]ab = 3x = 3 \times - 3 = - 9 \\ ab = - 9[/tex]

[tex]bc = 5x - 6 = 5 \times - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21[/tex]

[tex]ac = 8x - 6 = 8 \times - 3( - 6) = - 24 - 6 = - 30[/tex]

[tex]hope \: it \: helped[/tex]

Which is true about the degree of the sum and difference of the polynomials
3x^5y - 2x^3y^4 - 7xy^3 and -8x^5y + 2x^3y^4 + xy^3 ?

Answers:
Both the sum and difference have a degree of 6
Both the sum and difference have a degree of 7
The sum has a degree of 6, but the difference has a degree of 7
The sum has a degree of 7, but the difference has a degree of 6

Answers

Answere is C

The sum has a degree of 6 but the difference haa a degree of 7

The true statement about the degree of the sum and difference of the polynomials 3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³ is "the sum has a degree of 6, but the difference has a degree of 7."

What is a polynomial?

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

Given:

There are two polynomials,

3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³.

The sum of the polynomials,

= 3x⁵y - 2x³y⁴-7xy³ -8x⁵y +2x³y⁴ + xy³.

=  5x⁵y -6xy³.

And the degree is 6.

The difference of the polynomials,

=  3x⁵y - 2x³y⁴-7xy³ + 8x⁵y - 2x³y⁴ - xy³.

= 13x⁵y - 4x³y⁴-8xy³.

And the degree is 7.

Therefore, the sum has a degree of 6, but the difference has a degree of 7.

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Its raining today, so unless you wanna get drenched, youre gonna need your umbrella. Answers? can someone help me please Apple, Inc. reported research and development expense of $10,045 million on its 2016 income statement. This expense included many types of costs. Which of the following types of costs would not be included in the $10,045 million? Group of answer choices Salaries and wages for R&D personnel Costs of applying for FDA approval Depreciation on equipment used in experiments Supplies and inventory related to R&D activities and new-product sales None of the above Was the Mexican American War a justifiable war?GIVE 2 EXAMPLE FROM YOUR KNOWLEDGE Transcendent Technologies is deciding between developing a complicated thought-activated software, or a simple voice-activated software. Since the thought-activated software is complicated, it only has a 30% chance of actually going through to a successful launch, but would generate revenues of $50 million if launched. The voice-activated software is simple and hence has a 80% chance of being launched but only generates a revenue of $10 million. If the complicated technology costs $10 million to develop while the simple technology costs $2 million to develop, which technology is more profitable to develop? Explain briefly.a. The simple voice-activated softwareb. The complicated thought-activated softwarec. Neither of the softwared. Need more information What is the value of 3/10 to the third power Fill in the mission blank:PLS ASAP I HAVE TO DO THIS IN 10 MINS In the book holes, what led to Stanley's arrest? How do you know? How do I see my questions again? The one I made... Is this statement true or false?Only the small countries can bring a suit against larger countries during the dispute settlement process of key trade organizations. You need to use the scientific method and ______ in order to work as an environmental scientist. El mundo tiene tanta gente viviendo en el lo que significa que desperdiciamos mucho y esto causa grandes problemas en todo el mundo. que podemos hacer para ayudar a resolver este problema? Round 3.44570830811 to the nearest hundred-thousandth, Damaged dna cause the.ell to grow how ? What are some of the things that make Macbeth a terrible king? Why do you think some people are still loyal to him and have stayed with him to fight? Mango Company applies overhead based on direct labor costs. For the current year, Mango Company estimated total overhead costs to be $600,000, and direct labor costs to be $300,000. Actual overhead costs for the year totaled $615,000, and actual direct labor costs totaled $335,000. At year-end, the balance in the Factory Overhead account is a: Mineral-rich Zambia is one of the world's most important sources of uranium. It also is a source of copper, tin, diamonds (mainly industrial), gold, cobalt and zinc. Agricultural products include palm oil and kernels, cottonseed, rubber, cotton lint, coffee, peanuts, sweet potatoes, yams, and cassava. How many cotton products does Zambia produce?A. Two B. One C. Three D. Six. Assume that the probability of a driver getting into an accident 5.3% and the average cost of an accident is $16,806.25 and the overhead cost for an insurance company per insured driver is $110 what should be the driver's insurance premium? A. $1,042.79 B. $1,242.93 C. $1,166.91 D.$1,000.73 If x=6 is the ority x-intercept of the graph of a quadratic equation, which statement best describes the direciminant of theequation?The discriminant is 0.The discriminant is 6The discriminant is positive.The discriminant is negative PLEASE HELP ASAP MATH