Input
0
1
6
Output = Input x Itself + (-5) Output
95
59
76

The required angle of obtuse angles are <BMD  ,<AMC  and <AME.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The given figure is shown

<BMC=EMC=90°

According to given question we have

Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles.

Angles that are 90 degrees (θ = 90°) are right angles.

Angles that are 180 degrees (θ = 180°) are known as straight angles.

Angles between 180 and 360 degrees (180°< θ < 360°) are called reflex angles.

<BMC=EMC=90° (right angles)

<BME =<AMD= 180°( straight angles)

<BMD=<AMC=<AME =90°< θ <180°  (obtuse angles )

Therefore, the required angle of obtuse angles are <BMD  ,<AMC  and <AME.

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If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet then 145 is the position of the submarine relative to the surface of the ocean now.

Two expressions with an equal sign is called as Equation.

If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet. we need to find the position of the submarine relative to the surface of the ocean now.

The submarine initial position=310 feet.

To pass above an underwater mountain, or seamount, it rose =165 feet.

The position of submarine is

310-165

=145 feet.

Therefore  the position of the submarine relative to the surface of the ocean now is 145 feet.

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Answer: The answer for this would y=-2x+b in slope form and y=-2x+3 in standard form.

Step-by-step explanation:

First we have to figure out what the slope is and you should this formula y2-y1/x2-x1 you plug in the coordinates and your equations should look like this -3-5/3-(-1)= -8/4 which simplified into -2. In standard form you put in the same equation but plug in the coordinates with the slope so it would look like this. -3=-2(3)+b and you would get 3 as b and then you substitute it in the equation again y=mx+b and it should like this in standard form y=-2x+3.

Solve the quadratic equation

  c² +16c+64 = 0

Step-by-step explanation:

Given that

             c² +16c+64 = 0

To find

So, according to the question

we have,

We can solve this quadratic equation by factorising method.

So, we have to convert it on factors,

        c² +16c+64 = 0

For getting it's factors, we have to divide 16c part in two parts,

So, we can write 16c = 8c + 8c,

        c² +16c+64 = 0

        c² +8c+ 8c+ 64 = 0

Now,

        c(c +8) + 8(c+ 8) = 0

                  (c+8)(c+8) = 0

                        (c+8)² = 0

 or,

                       (c + 8) = √0   (∵  √0  = 0)

                         c + 8 = 0

Now, we can say that

                              c = -8 or 0

Answer:

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The number of tracks on 4 CDs are 132.

Here, we are given that a CD holds 2t + 3 tracks.

Thus, the number tracks on 4 CDs will be given as-

4(2t + 3)

Simplifying the expression further, we get

(4 × 2 × t) + (3 x 4)

= 8t + 12

Therefore, the expression for the number of tracks on 4 CDs is 8t + 12

Now, if t = 15

Then, the number of tracks on 4 CDs can be found by substituting the value t = 15 in the expression (8t + 12)

= 8(15) + 12

= 120 + 12

= 132

Thus, there are 132 number of tracks on 4 CDs.

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Answer:

sin = 12/15  cos = 9/15  tan = 12/9

Step-by-step explanation:

Easy way to remember this is

SOH CAH TOA

O is opposite ( 12 in this problem )

H is hypotenuse i.e. opposite of the right angle ( 15 in this problem )

A is adjacent ( 9 in this problem )

The required change in altitude is 900ft

From the question, we are given the following parameters

Initial height =5400ft

Final height = 6300ft

Determine the change in altitude

Change in altitude = Final - Initial

Change in altitude  = 6300ft - 5400ft

Change in altitude = 900ft

Hence the required change in altitude is 900ft

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Answer: 11

Step-by-step explanation:

f(t)=2(t)-3

f(t)=2t-3

f(7)=2(7)-3

f(7)=14-3

f(7)=11

Answer:

it's 88

Step-by-step explanation:

a century = 100

so 100-12 =88

The length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

It should be noted that the total surface area will be calculated thus,:

= 2πr(h + r)

It was stated that the radius and the.lebgth are the same and that the area is 196. This will be:

2πr(r + r)

= 2πr(2r)

= 4πr²

Therefore, 4πr² = 196

πr² = 198/4

πr² = 49

πr² = 49

r² = 49/π

r = 7√π

Therefore, the length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

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y < -14ory > 0

Rearrange variables to the left side of the equation: 3|y+7| >5+16

Calculate the sum or difference: 3 |y+7| >21

Divide both sides of the inequality by the coefficient of the variable: |y+7| >[tex]\frac{21}{3}[/tex]

Reduce the fraction:  |y+7|>7

Convert the absolute inequality to standard inequality:  y+7 >7ory +7 < -7

:y < -14ory > 0

Find the union: y < -14ory > 0

A variable in mathematics is a sign and placeholder for any mathematical object (from the Latin variabilis, "changeable"). A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

A variety of issues are resolved by algebraic calculations that treat variables like explicit integers in a single computation. The quadratic formula, for instance, can be used to solve any quadratic equation by exchanging the variables in the quadratic formula for the numerical values of the coefficients in the equation.

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The solution of the equation for x is x = 4y - 12

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function y is given as

y = 1/4x + 3

As a general rule, we start by writing y as a variable (say y = f(x)).

So, the equation of the function becomes

y = 1/4x + 3

The next step is to switch/swap the positions of x and y in the above equation y = 1/4x + 3 (in this case, it is not necessary)

So, the equation remains the same

y = 1/4x + 3

The next step is to make x the subject of the formula in the above equation y = 1/4x + 3

The equation becomes

1/4x = y - 3

This is done by subtracting 3 from both sides of the equation.

So, we have:

1/4x = y - 3

Multiply through the sides of the equation by 4

So, we have

x = 4y - 12

Express as an inverse function

f-1(x) = 4x - 12 --- this is not  compulsory

So, the solution of the equation for x is x = 4y - 12

Hence, the rewuired solution of the equation for x is x = 4y - 12

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The cost per passenger for no wind conditions is $199 and 33 cents

Ground speed, 'x' = 500 ± 0 = 500 miles/h;

Cost per passenger is given by;

C(x) = 100 + x/15 + 33000/x;

Put x = 500;

C(500 miles/h) = 100 + 500/15 + 33000/500

C(500 miles/h) = $199.33

The cost per passenger for no wind conditions = $199 and 33 cents;

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The numbers that represents c and d and aligns with the information will be 24 - 10 = 14.

It should be noted that from the proportion, a = 60 and b = 25.

It was also stated that c - d = 14.

It should be noted that 60 and 25 have a common factor of 5. Therefore, the number that's equivalent to them will be:

(60 ÷ 2.5) = 24

25 ÷ 2.5 = 10

Therefore 24 - 10 = 14

The values are 24 and 10.

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Answer:

75

Step-by-step explanation:

35+4x where x is 10

35+4*10

35+40

75

Answer:

75

Step-by-step explanation:

4 packs of balloons which each have 10 balloons is 40 total balloons she bought. Add 40 to 35 which is 75.

Answer:

y = -1/6x - 7/3

Step-by-step explanation:

slope = rise/run

(y2 - y1) / (x2 - x1)

ordered pairs: (-2,-2) and (4,-3)

-3 - (-2) = -1

4 - (-2) = 6

-1/6 = -1/6

m = -1/6

find b

take one ordered pair

y = mx + b

-3 = (-1/6)(4) + b

-3 = -4/6 + b

-3 + 4/6 = -2 2/6  

-2 2/6 = -14/6

-14/6 = -7/3

b = -7/3

Therefore the value of x is 2.

Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

We can write this as follows

aˣ ⁺ ⁿ = aˣ * aⁿ

2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ

2ˣ * 2ˣ * 2 +  2ˣ * 2² = 12 * 2ˣ

By taking common terms aside we get

2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ

By canceling the like terms we get

2ˣ + 2 = 6

2ˣ = 6 - 2

2ˣ = 4

2ˣ = 2²

∴ x = 2

Therefore the value of x is 2.

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Using the normal distribution, the height of a woman with a z-score of -1.5 is of 66.75 inches.

The problems asks for the height of a woman with a z-score of -1.5.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, the parameters are given as follows:

[tex]\mu = 69, \sigma = 1.5, z = -1.5[/tex]

The height is found solving for x, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

-1.5 = (X - 69)/1.5

X - 69 = -1.5 x 1.5

X = 66.75.

The height of a woman with a z-score of -1.5 is of 66.75 inches.

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The complete paragraph is shown:

The complex number - 2 + i 8 has modulus of 2√17. When - 2 + i 8 is multiplied by 5, the modulus of the product of 10√17.

Multiplying a complex number by a real number is a scalar of a complex number. The quadrant location of the complex number and its product with the real number are the same.

In this problem we have a paragraph, in which we must fill the blanks with the results of operations with complex numbers. The modulus of a complex number is found by using the Pythagorean theorem:

r = √[(- 2)² + 8²]

r = √(4 + 64)

r = √68

r = 2√17

And the product between the real number and the complex number is done by distributive property:

5 · (- 2 + i 8)

5 · (- 2) + i (5 · 8)

- 10 + i 40, whose modulus is 10√17.

Graphically speaking, the scalar of a complex number remains in the same quadrant of the complex plane.

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The measure of the largest angle is 84°

It should be noted that the total angles on a triangle is 180°.

Let the smallest angle = x

Second angle = x + 40

Third angle = 3x

Therefore 3x + x + x + 40 = 180

5x = 180 - 40

5x = 140

x = 140/5

x = 28

Therefore, the largest angle will be:

= 3x

= 3 × 28°

= 84°

Therefore, the measure of the largest angle is 84°

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Step-by-step explanation:

u first have to simplify a bit so u expand giving u -2x+6 less than 4 u then group like terms giving u -2x less than 4-6 amounting to -2x less than-2 u then divide both side by negative two to make x stand alone giving u positive 1 when u get Yr answer because u divided by a negative answer the sign changes to greater than

Answer:

6/20, 9/30, 12/40

Step-by-step explanation:

Original fraction: 3/10

How I got: 6/20

3 x 2 = 6

10 x 2 = 20

How I got: 9/30

3 x 3 = 9

10 x 3 = 30

How I got: 12/40

3 x 4 = 12

10 x 4 = 40

The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%

The given parameters are

P = 68.1%

The above probability represents the probability that Americans say they believe that statistics teachers know the true meaning of life

The complement probability is

Q = 1 - P

This gives

Q = 1 - 68.1%

Evaluate

Q = 31.9%

Hence, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%

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Step-by-step explanation:

Answer:

The number of students increased by 40%

The expression to show the total number of sport cards that Adele bought will be Bb +5d.

From the information, it was stated that Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all.

Let the number of baseball = b

Let the back cards =d

Therefore, the expression to show the number of sport cards will be:

= (B × b) + (5 × d)

= Bb +5d

Therefore, the expression to show the total number of sport cards that Adele bought will be Bb +5d.

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Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all. Write an expression for this

Difference between mixed farming and mixed cropping

Answer:

85

Step-by-step explanation:

use the largest digit in the tens place, that is 8

use the next largest digit in the units place, that is 5

the largest 2- digit number is 85

(ii)

514 is the closest to 500 ( 14 units away )

485 is also close ( but 15 units away )

so 514 is the closest to 500

Answer: i) 85 & ii) 514

Step-by-step explanation:

Here, 8>5>4>1

So,

i) 85

ii) 514

Answer:

YES!

Step-by-step explanation:

ratios are like fractions, and fractions are basically division problems. SO, if you divide 4 by 6 you get .66666666, and if you divide 8 by 12 you ALSO get .66666666, soooooo yes they are equivalent!

Answer:

George C. x=2 is the equation of the line through (2,3) with undefined slope.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (2, 3 ) with x- coordinate 2 , then

x = 2 ← is the equation of the line