Find X. Please help.

Answer:

f(x) = 500(2)^x

Step-by-step explanation:

Let's assume the initial x value is 0

500(0)^2 = 0

100(0)^5 = 0

500(2)^0 = 500

500(0)^2 = 0

Answer:

C

Step-by-step explanation:

Edge

Answer:

Two possible sets of answers.

5 men, 11 women and 42 children, or

10 men, 2 women and 88 children

Selamat Sadhya!

Step-by-step explanation:

M = number of men

W = number of women

100-M-W = number of children

Total number of pappadas

5M+3W+(100-M-W)/2 = 100

Solve for W

W = (100-9M)/5 .......................(1)

Examine equation (1).

In order to have W as a whole number, M must be multiple of 5

Therefore M = 5 or 10

If M = 5, W = (100-45)/5 = 11 and children = 100-5-11 =  84

If M = 10, W = (100-90)/5 = 2 and children = 100-10-2 = 88

Answer:

The answer is option 2.

Step-by-step explanation:

You have to apply Cosine Rule, cosθ = adjacent/hypotenuse. Then, you have to substitute the values into the formula :

[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 55[/tex]

[tex]let \: adj. = 11[/tex]

[tex]let \: hypo. = x[/tex]

[tex]cos(55) = \frac{11}{x} [/tex]

The correct trigonometry formula to use to solve for x is [tex]\frac{11}{x}[/tex] . Thus option 1 is correct.

According to the question, we have

base = 11

hypotenuse = x

here for [tex]cos Ф[/tex]Ф,  it is not required to find the value of perpendicular,

we know that in a right-angle triangle using trigonometric ratio, we get

[tex]cos Ф[/tex] Ф = [tex]\frac{base }{hypotenuse}[/tex]

[tex]cos Ф[/tex] Ф = [tex]\frac{11}{x}[/tex]  

here  Ф = [tex]55 ^0[/tex]

[tex]cos 55^o = \frac{11}{x}[/tex]

Thus, the value of the trigonometry formula to use to solve for x is  [tex]\frac{11}{x}[/tex].

Thus option 1 is correct.

Learn more about Trigonometry here :

https://brainly.com/question/22986150

#SPJ2

Answer:

192

Step-by-step explanation:

There are a total of 15 marbles . When the lavender is left out 14 remain.

Using combinations we find that each of the four color marbles can be chosen in the following way.

2C1*4C1*4C1*6C1= 2*4*4*6=  192

We select  one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.

Answer:

[tex](4,7)[/tex]

Step-by-step explanation:

Given

[tex]2x - 3 < y[/tex]

[tex](x,7)[/tex]

Required

Find one possible value of x

From the given parameters;

[tex](x,7)[/tex] is a possible solution of [tex]2x - 3 < y[/tex] where y= 7

Substitute 7 for y

[tex]2x - 3 < 7[/tex]

Add 3 to both sides

[tex]2x - 3 + 3 < 7 + 3[/tex]

[tex]2x < 10[/tex]

Divide both sides by 2

[tex]2x/2 < 10/2[/tex]

[tex]x < 5[/tex]

The result of the inequality implies that x is less than 5; So, the possible values of x is all real numbers less than 5;

Having said that;

[tex](4,7)[/tex] is one possible coordinate of [tex]2x - 3 < y[/tex]

Answer:

10 miles

Step-by-step explanation:

3 mi/1 hr  x (h hours + 2/3 hr) = 5 mi/1 hr  x  h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr  x 1 2/3 hr = 5 miles

5 mi/hr x  1 hr = 5 miles

He hiked 10 miles. (

Answer:

-2             7

-1             -6

Step-by-step explanation:

I used a calculator.

Answer:

[tex]\large \boxed{\sf \ \ 9 \text{ and } 22 \ \ }[/tex]

Step-by-step explanation:

Hello,

We can write that, x being the second number

(4 + 2*x) *x = 198

Let's solve this equation.

[tex](4+2x)x=198\\\\4x+2x^2=198 \\\\\text{*** subtract 198 from both sides ***}\\\\2x^2+4x-198 = 0\\\\\text{*** The product of the zeroes is -198/2=-99=-11*9 and their sum is -4/2=-2 ***}\\\\2x^2+4x-198=2(x-9)(x+11)=0\\\\x=9 \ \ or \ \ x=-11[/tex]

We are looking for positive number so the solution is 9.

And the first number is 4 + 2 * 9 = 4 + 18 = 22

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

22 and 9

Step-by-step explanation:

Let the positive number be x.

Let the other number be y.

x = 2y + 4

xy = 198

Substitute x as 2y + 4 in the second equation.

(2y+4)y = 198

2y² + 4y = 198

2y² + 4y - 198 = 0

2(y-9)(y+11) = 0

y-9=0 or y+11=0

y=9

y=-11

The product is 198, so y is positive.

x(9)=198

x=22

Answer:

24

Step-by-step explanation:

The computation of the number  of bacteria in the sample after 18 hours is shown below:

We assume the following things

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

[tex]A = Pe^{rt}[/tex]

[tex]= 4\times e^{18\times0.1}[/tex]

[tex]=4e^{1.8}[/tex]

[tex]= 4\times6.049647464[/tex]

= 24

We simply applied the above formula to determine the number of bacteria after the 18 hours

Answer:

The answer is 29 unit.

Step-by-step explanation:

Here,

given that,

DC (l) =4z+1

CD (b)=5z+2

perimeter (p)= 132

now,

perimeter of rectangle (p) is= 2(l+b)

or, 132 = 2×{(4z+1)+(5z+2)}

or, 132= 2×(9z+3)

or, 132= 18z+6

or, 18z=132-6

or, z=126/18

or, z= 7.

therefore, 4z+1=4×7+1=29

5z+2= 5×7+2=37.

As our question is about to find AB,

DC = AB. (as opposite side of rectangle is equal).

so, the valueof AB is 29unit.

Hope it helps...

Answer:

70

Step-by-step explanation:

You have to find the vertical of x. To the right of the vertical, we see that there is an angle of 25 (since the 25 up top corresponds to that blank angle). Once you add 25 + 85 + x = 180 (since this is a straight line), we see that x is 70, and its vertical is also 70.

Answer:

U = 17 1/7

T = 51 3/7

S = 61 3/7

Step-by-step explanation:

Given

T+S+U=130\

T=3(U)

S= T+10 we have to find value of u

First step:

find S and T in terms of U

T is given

T = 3U

S = T +10 , using T = 3U

S = 3U+10

Using the above value in T+S+U=130

3U + 3U+10 + U = 130

=> 7U = 130-10 = 120

=> U = 120/7 = 17 1/7

T = 3U = 3*120/7 = 360/7 = 51 3/7

S = T+10 = 360/7 + 10 = (360+70)/7 = 430/7 = 61 3/7

Thus,

U = 17 1/7

T = 51 3/7

S = 61 3/7

Answer:

We have sinθ = 12/13

The  method here is to figure out the value of θ

Using a calculator sin^(-1)(12/13) =67.38°

67.38° is in quadrant 1  so we must substract 67.38° from 180° wich is π

Now time to calculate cos2θ and cosθ using a calculator

The values we got make sense since θ is in quadrant 2 and 2θ in quadrant 3

Answer:

3x

Step-by-step explanation:

18 x^2 / 6x

Divide the numbers

18/6 =3

Then divide the variables

x^2 /x = x

The result is 3x

Answer:

3x

Step-by-step explanation:

18x^2/6x

x^2 / x is x

18x/6

18/6 is 3

it all simplifies into 3x

Answer:

The answer would be 27π

Step-by-step explanation:

the area is 36pi and the shaded region is 3/4 of the circle, as a 90 degree angle is 1/4 of a 360 degree circle. 3/4 of 36pi is 27pi

Answer:

27π

Step-by-step explanation:

Imagine that this circle was complete. As you can see, only 3 / 4th of the circle remains, with respect to this whole circle. This is not an assumption, though it does appear so. The portion missing forms a right angle with the radii, and thus by definition, that portion is a quarter of a circle.

________

The simplest approach is to assume this circle to be complete, and solve for that area - provided the radii being 6 inches. Afterward we can take 3 / 4th of this area, solving for the area of the shaded region. After all, this circle is 3 / 4ths of our " complete circle. "

Area of an Imaginary " Complete Circle " = π[tex]r^2[/tex] = π[tex](6)^2[/tex] = 36π,

Area of Shaded Region ( 3 / 4th of the " Complete Circle " ) = [tex]\frac{3}{4}[/tex]( 36π ) = 27π

27π is the exact area of the shaded region. If you want an approximated area, take π as 3.14, or a similar quantity to that.

Answer:

The answer is #3 which is 24%.

Step-by-step explanation:

6 × 100

25

25 into 100 is 4, then 6×4 = 24%

I really hope this helps :)

Answer: m= 2

Step-by-step explanation: First Expand the brackets! 5-m+4=2m+3m-3

                                    Then Do the addition and subtraction in both sides!

                                     9-m=5m-3

                                 Then bring m to one side and the constants the other!

                                   6m=12

                                    Then solve for m where m=2

                                     If you want you can check your answer bu substituting m as 2. 5-(2-4)=7 and 2(2) + 3(2-1) which also = 7.

Answer:

The  correct option is d

Step-by-step explanation:

From the question we are told that

    The  population size is  [tex]N = 47000[/tex]

    The  sample size is  [tex]n = 200[/tex]

     The  sample mean is   [tex]\= x = 118.0 \ mmHg[/tex]

     The  standard deviation is  [tex]\sigma = 11.0 \ mmHg[/tex]

Given that the confidence level is  95% then the level of significance can be calculated as

                     [tex]\alpha = 100 - 95[/tex]

                    [tex]\alpha = 5 \%[/tex]

                      [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from  z-table , the value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 1.96[/tex]

The reason we are obtaining critical value of   [tex]\frac{\alpha }{2}[/tex] instead of    [tex]\alpha[/tex] is because  

 [tex]\alpha[/tex] represents the area under the normal curve where the confidence level interval (   [tex]1-\alpha[/tex]) did not cover which include both the left and right tail while  

 [tex]\frac{\alpha }{2}[/tex]  is just the area of one tail which what we required to calculate the margin of error .

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

  Generally the margin of error is mathematically represented as

            [tex]E = Z_{\frac{\alpha }{2} } *\frac{\sigma }{ \sqrt{n} }[/tex]

substituting values

           [tex]E = 1.96 *\frac{11.0 }{ \sqrt{200} }[/tex]

           [tex]E = 1.5245[/tex]

The  95% confidence level interval is mathematically represented as

       [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

       [tex]118.0 - 1.5245 < \mu < 118.0 + 1.5245[/tex]

        [tex]116.5< \mu < 119.5[/tex]

         [tex][116.5 , 119.5][/tex]

Answer:

Larger force= 66.28 pounds

Step-by-step explanation:

The angle of the resultant force 80 pounds = 180-(52+20)

The angle of the resultant force 80 pounds = 180-72

The angle of the resultant force 80 pounds = 108°

The larger force is the force with 52°

Let the larger force be x

Magnitude of the larger force

x/sin52 = 80/sin108

X= sin52 *(80/sin 108)

X= 0.7880*(80/0.9511)

X = 0.7780*(84.1131)

X = 66.28 pounds

Answer:

y=5x-33

Step-by-step explanation:

We are given a point and a slope. Use the slope-intercept formula.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

where (x1, y1) is a point on the line and m is the slope.

The slope is 5 and the point is (5,-8).

x1=5

y1= -8

m=5

[tex]y--8 =5(x-5 )[/tex]

We want to find the equation of the line, which is y=mx+b (m is the slope and b is the y-intercept). Therefore, we must get y by itself on one side of the equation.

[tex]y+8=5(x-5)[/tex]

First, distribute the 5 on the right side of the equation. Multiply each term inside the parentheses by 5.

[tex]y+8=(5*x)+(5*-5)[/tex]

[tex]y+8=5x-25[/tex]

Next, subtract 8 from both sides since it is being added on to y.

[tex]y+8-8=5x-25-8[/tex]

[tex]y=5x-25-8[/tex]

[tex]y=5x-33[/tex]

The equation of the line is: y=5x-33

Answer:

0.29

Step-by-step explanation:

There are 29 squares shaded in. In all, there are 100 squares in the 10 × 10 square, so there are 29 shaded squares out of 100 squares in all. That is basically:

[tex]\frac{29}{100}[/tex]

[tex]\frac{29}{100}[/tex] can be converted to 0.29.

Answer:

0.29

Step-by-step explanation:

Since the grid is a 10x10, it means there are 100 total 'blocks' in the grid. So, since there are 29 shaded in out of the 100 'blocks total, the decimal would be .29, since the decimal means 29 hundredths, and it also means that there is 29 hundredths of the total grid shaded in.

Answer:

[tex]\boxed{Cos A = 3/5}[/tex]

Step-by-step explanation:

Cos A = Adjacent/Hypotenuse

Where Adjacent = 30 and Hypotenuse = 50

Cos A = 30/50

Cos A = 3/5

Answer:

[tex]\boxed{\mathrm{cos(A) = \frac{3}{5} }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{cos(\theta) = \frac{adjacent}{hypotenuse} }[/tex]

The adjacent side to angle A is 30 units. The length of the hypotenuse of the triangle is 50 units.

[tex]\displaystyle \mathrm{cos(A) = \frac{30}{50} }[/tex]

The fraction can be simplified.

Answer:

3/26

Step-by-step explanation:

Probability of the first box to have the secret decoder ring is 18 out of 52:

Probability of the second box to have the ring is 17 out of 51, because one box with the ring already selected and not counted:

Probability that both of them have the secret decoder ring:

So the answer is 3/26

Answer:

The answer is:

The fourth option,

{s | s <90}

Step-by-step explanation:

yes

Answer:

[tex]\boxed{s|s<90}[/tex]

Step-by-step explanation:

1/3s-6<24

Add 6 on both sides.

1/3s<30

Multiply both sides by 3.

s<90

Answer:

Vertical angles are congruent.

Step-by-step explanation:

Vertical angles are opposite angles formed by intersecting lines, and are always congruent.

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

Answer:

x is approximately 53°

Answer:52.64°

Step-by-step explanation:

opp=31

hyp=39

sin x° =[tex]\frac{opp}{hyp}[/tex]

sin x°=31/39

sin x°=0.7949

x=[tex]sin^{-1} (0.7949)\\[/tex]

x=52.64

Answer:

√468 = 6√13

Step-by-step explanation:

ABCDEF is a regular hexagon of side length 6.

A'B'C'D'E'F' is the reflection of ABCDEF across BC.

The line FE' is the line from F to E'.  It is also the hypotenuse of the right triangle FEE'.  FE = 6, and EE' = 4a, where a is the apothem of the hexagon.

To find the apothem, draw the 30-60-90 triangle formed by the apothem and the radius (essentially 1/12th of the hexagon).

Using properties of a 30-60-90 triangle:

a = (6/2)√3

a = 3√3

4a = 12√3

Using Pythagorean theorem:

x² = (6)² + (12√3)²

x² = 36 + 432

x = √468

x = 6√13