What is the value of x?

Answer:

27π Sq in.

Step-by-step explanation:

Circle A is equal to 9π sq inches. (Radius squared times Pi), Segment BC is a radii of Circle B and the diameter of Circle A. Meaning Circle B's radius is 6 inches. The area of circle B would be 36π sq inches. Now we subtract Circle A's area from Circle B's area(36π sq in. - 9π sq in.), the area of the shaded region is 27π sq in.

Answer:

5x +3

Step-by-step explanation:

f(x) = 2x-6

g(x) = 3x+9

(f+g) (x) = 2x-6+ 3x+9

Combine like terms

            = 5x +3

We are given the following two equations:

[tex]f(x)=2x-6[/tex]

[tex]g(x)=3x+9[/tex]

To find (f+g)(x), we just add f(x) and g(x) and simplify:

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex]=2x-6+3x+9[/tex]

[tex]=5x+3[/tex]

Let me know if you need any clarifications, thanks!

Answer:

1. 44 + 3x

2. 2y - 8

3. x - 6

15. [tex]5\frac{7}{8}[/tex]

16. [tex]6\frac{1}{3}[/tex]

17. [tex]3\frac{7}{9}[/tex]

Step-by-step explanation:

1. 7² + 2² - 5 - 4 + 3x

   49 + 4 - 5 - 4 + 3x

       53 - 5 - 4 + 3x

           48 - 4 + 3x

              44 + 3x

2. - y - 5 + y + 2(2y-y) - 3

     -y - 5 + y + 4y - 2y -3

      -y - 5 + 5y - 2y - 3

          4y - 2y - 5 - 3

                2y - 8

3. 5x -3 - x - 3(x + 1²)

    5x - 3 - x - 3x - 3

      4x - 3x - 3 -3

           x - 3 -3

             x - 6

15.  [tex]7\frac{1}{4} - 1\frac{3}{8}[/tex]

   = [tex]7 \frac{2}{8} - 1\frac{3}{8}[/tex]

   = [tex]\frac{58}{8} - \frac{11}{8}[/tex]

   = [tex]\frac{47}{8}[/tex] → [tex]5\frac{7}{8}[/tex]

16.  [tex]9 - 2\frac{2}{3}[/tex]

   = [tex]\frac{54}{6} - 2\frac{4}{6}[/tex]

   = [tex]\frac{54}{6} - \frac{16}{6}[/tex]

   = [tex]\frac{38}{6}[/tex] → [tex]6\frac{2}{6}[/tex] → [tex]6\frac{1}{3}[/tex]

17.  [tex]10\frac{1}{3} - 6\frac{5}{9}[/tex]

   =  [tex]10 \frac{3}{9} - 6\frac{5}{9}[/tex]

   =    [tex]\frac{93}{9} - \frac{59}{9}[/tex]

   =     [tex]\frac{34}{9}[/tex] → [tex]3\frac{7}{9}[/tex]

Hope this helps.

Answer: 93

Step-by-step explanation:

To solve this we need to follow BIDMAS.

The order of calculations is brackets, division, then multiplication, then addition, then subtraction.

1) (4 + 3) = 7

2) Division: 8 / 2 = 4

3) Multiplication: 3 * 32 = 96

This leaves us with:

96 + 4 - 7

This equals 93.

Answer:

93

Step-by-step explanation:

3 · 32 + 8 ÷ 2 − (4 + 3)

PEMDAS says parentheses first

3 · 32 + 8 ÷ 2 − (7)

Then multiply and divide from left to right

96 + 4 -7

Then add and subtract

100-7

93

Answer:

Step-by-step explanation:

   +4x+6         +4x+6

     ÷5.5       ÷5.5

Answer:

Left table: y= 1.5x - 6

Right table : y= -4x + 6.1

Solution : (2.2 , -2.7)

Step-by-step explanation:

:)

Answer:

[tex]a^{\frac{1}{3} }[/tex]

Step-by-step explanation:

Apply rule:  [tex]\displaystyle \sqrt[n]{x} =x^{\frac{1}{n}[/tex]

[tex]\sqrt[3]{a} =a^{\frac{1}{3} }[/tex]

Answer:

$95.42  more

Step-by-step explanation:

To find out how much money was made with Investment A after 2 years:

First, we are told that 160 dollars is saved per month for 2 years.  There are 24 months in 2 years, so we have to multiply $160 by 24 months.

160 *24=$3840 after 2 years.

Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years.  So, we must turn 2.5% in to a decimal, which is 0.025.

Now, multiply 3840*0.025 to get $96.

We have to add that on the the amount saved, so 3840+96=$3936.

Investment A made $3936 after 2 years.

To find out how much money was made with Investment B.

So, we have to find compound interest.  The formula for compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

In this problem: P=3800, r=3% or 0.03, n=1, and t=2.

So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]

That becomes: [tex]A=3800(1.03)^{2}[/tex]

Simplify it even further: [tex]A=3800(1.0609)[/tex]

Multiply the last two numbers to get: [tex]A=4031.42[/tex]

Investment B made $4031.42 after 2 years.

The question asks us to find out how much more money Investment B made than Investment A after 2 years.  It's simple.  Just subtract Investment A's amount from Investment B's amount.

4031.42-3936=95.42

Investment B made $95.42 more than Investment A after 2 years.

Answer:

[tex]1\frac{3}{20}[/tex]

Step-by-step explanation:

'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with  '[tex]\frac{3}{20}[/tex]'  as the remainder, so  '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.  

Put them together, and you get: [tex]1\frac{3}{20}[/tex]

The fraction is already in it's simplest form.

Brainilest Appreciated.

The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

We have to given that,

A number is,

⇒ 23 / 20

We can divide it for the mixed fraction as,

⇒ 23 / 20

20 ) 23 ( 1

    - 20

  --------------

          3

Therefore, It can be written as,

⇒ 23 / 20 = 1 3/20

Thus, The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

Please find the attached the required inequality graph

Step-by-step explanation:

Given that inequality is 2.5 ≤ x ≤ 4.5, we have;

The region in the given inequality is the region between 2.5 and 4.5 inclusive

Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;

A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.

Answer:

The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The types of correlation coefficient are:

The correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:

r = 0.12.

The value of r lies between:

0 < 0.12 < 0.30

Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

Answer:

60 mph

Step-by-step explanation:

Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:

[tex]D_E=3E\\D_S=3S=3(E+15)\\D_S=3E+45[/tex]

The distance between both cars is given by:

[tex]D^2=D_S^2+D_E^2\\225^2=(3E+45)^2+(3E)^2\\50,625=9E^2+270E+9E^2+2,025\\18E^2+270E-48,600=0\\[/tex]

Solving the quadratic equation for the velocity of the eastbound car:

[tex]18E^2+270E-48,600=0\\E^2+15E-2,700\\E=\frac{-15\pm\sqrt{15^2-4*1*(-2,700)}}{2}\\E=45.0\ mph[/tex]

The velocity of the southbound car is:

[tex]S=E+15=45+15\\S=60\ mph[/tex]

The southbound car is driving at 60 mph.

Answer:

h(x) = -15.6(x - 3.8)² + 241

Step-by-step explanation:

if you were to graph these equations, you can see that the second equation has a lower maximum than the rest of equations, including the original. therefore, that answer can be eliminated.

or simply recognize the equation is in vertex form and realize that 222 is the y-value of the vertex. and 222 < 230. (230 being the y-value of the parent function's vertex)

the a-value (-15.9 for the parent/original function) of the new equation must be less than the parent function's a-value. this is the rate at which the pumpkin is decreasing. the lower the value, the slower the pumpkin moves. this is an advantage, as the length it travels increases. therefore, the third and fourth options are eliminated, leaving the first option as the answer.

Answer:

64 : 216

Step-by-step explanation:

Given the ratio of the heights = a : b, then

ratio of volumes = a³ : b³

Here the ratio of heights = 4 : 6 = 2 : 3 ← in simplest form, thus

ratio of volumes = 4³ : 6³ = 64 : 216 = 8 : 27 ← in simplest form

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 35[/tex]

Given that x = -9

=> [tex]7(-9) -2y = 35[/tex]

=> [tex]-63-2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = -49[/tex]

Answer:

Step-by-step explanation:

3x + 45 = 4x + 21

45 - 21 = 4x - 3x

24 = x

Answer:

Step-by-step explanation:

[tex]3x + 45 = 4x + 21 \\ collect \: like \: terms \\ 3x - 4x = 21 - 45 \\ - x = - 24[/tex]

[tex]x = 24[/tex]

Answer:

it is C.

Step-by-step explanation:

The common difference is -7

-27 -(-20)= -27 + 20 = -7

-34 -(-27)= -34 + 27 = -7

-41 -(-34)= -41 + 34 = -7

-48 -(-41)= -48 + 41 = -7

Answer:

             [tex]\bold{A_{_{\Delta XYZ}}=927.5\ cm^2}[/tex]

Step-by-step explanation:

m∠Z = 180° - 118° - 28° = 34°

[tex]\sin(28^o)\approx0.4695\\\\\sin(118^o)=\sin(180^o-62^o)=\sin62^o\approx0.8829 \\\\\sin(34^o)\approx0.5592\\\\[/tex]

[tex]\dfrac{\overline{XY}}{\sin Z}=\dfrac{\overline{YZ}}{\sin X}\\\\\\\overline{XY}=\dfrac{\overline{YZ}}{\sin X}\cdot\sin Z\\\\\\\overline{XY}=\dfrac{42}{0.4695}\cdot0.5592\\\\\overline{XZ}=50.024281...\\\\\\A_{_{\Delta XYZ}}=\frac12\cdot\overline{XY}\cdot\overline{YZ}\cdot\sin(\angle Z)\\\\\\A_{_{\Delta XYZ}}\approx\frac12\cdot50.0243\cdot42\cdot0.8829=927.4955...\approx927.5[/tex]

Answer:

1) 33.11 m

2) 58.1°

3) 35·√2

4) 491.925 m²

Step-by-step explanation:

Side length of the pyramid = 35 m

The height of the pyramid = 22 m

The slant height = √(Height² + (1/2 Side length)²)

The slant height = √(22² + (1/2×35)² = 28.11 m

1) The slant edge length = √((Slant height)² + (1/2 Side length)²

The slant edge length = √(28.11² + (1/2×35)²) = 33.11 m

2) The base angle = tan⁻¹((Slant height)/(1/2 Side length))

The base angle = tan⁻¹(28.11/(1/2×35)) = 58.1°

3) The distance between the center pf the base and the corner of the pyramid is half the length of the base diagonal

The length of the base diagonal = √((Side length)² + (Side length)²)

The length of the base diagonal = √(35² + 35²) = 35·√2

The distance between the center pf the base and the corner of the pyramid = 35·√2/2 = 24.75 cm

4) The area of the side of the pyramid = 1/2×(Side length)× (slant height)

The area of the side of the pyramid = 1/2*35*28.11 = 491.925 m²

Answer:

? = 4.41

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj / hyp

cos 25 = 4/?

? = 4/ cos 25

? =4.413511676

To the nearest hundredth

? = 4.41

Hey there! :)

Answer:

Measure of ∠8 is 130°.

Step-by-step explanation:

We can solve for ∠8 in multiple steps:

∠1 = 50°

∠5 = 50° due to corresponding angles being equivalent

180° - m∠5 = m∠8 due to supplementary angles

180° - 50° = m∠8 = 130°

Therefore, the measure of ∠8 is 130°.

Answer: The measure of angle 8 is 130 degrees.

Step-by-step explanation:

Angle 8 and angle 4 has the same measures.  The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and  8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.

Use the equation

50 + x =180  solve for x

-50       -50

x = 130

This means angle 8 is 130 degrees .

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

Answer:

The skeleton is 1150 yrs old.

Step-by-step explanation:

To get this answer you would take 5750 and divide by 5 because the problem say 1/5th. This would give you the equation 5750/5 = 1150.

Answer:

you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.

Step-by-step explanation:

27(1/3)^3

81^3

512

Answer:

[tex]x >4[/tex]

Step-by-step explanation:

[tex]x+3>19-3x[/tex]

Add 3x and -3 on both parts.

[tex]x+3+3x-3>19-3x+3x-3[/tex]

Combine like terms.

[tex]x+3x>16[/tex]

[tex]4x >16[/tex]

Divide 4 on both parts.

[tex]\frac{4x}{4} > \frac{16}{4}[/tex]

[tex]x >4[/tex]

Answer:

9/13

Step-by-step explanation:

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 =   9

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

Step-by-step explanation:

Answer:

(0,-6) and (-1,0)

Step-by-step explanation:

First:

Set both sides equal to each other: -6x-6=x^2-5x-6

Next:

factor -6 our from the first side and write -5x as a difference:

-6(x+1)=x^2+x-6x-6

Then:

factor out x and -6 drom the second side:

-6(x+1)=x(x+1)-6(x-+1)

Then:

Factor out (x+1)

-6(x+1)=(x+1)(x-6)

Next Combine to one side and factor:

-(x+1)(6+x-6)=0

Simplify:

(x+1) (x)=0

find the zero:

x+1=0 --> x=-1

x=0 --> x=0

Substitute into the equations to find y:

y=-6(-1)-6

y=-6(0)-6

Solve:

y=0

y=-6

Answer:

(x1,y1)= (-1,0)

(x2,y2)= (0,-6)

Answer:

what is the questions.

Answer:

1/3

Step-by-step explanation:

Let's say you picked the blue one first. You have a 2/3 chance of doing that, and now you're left with 2. Now, to pick the green one, you have a 1/2 chance. Multiply that and you  see that you have a 1/3 chance of picking it last.

Answer:

1/3.

Step-by-step explanation:

The probability that the red cube WON'T be picked on the first draw is 2/3. This is because there is a 1/3 probability of picking a green cube, added to a 1/3 probability of picking a blue cube.

The probability that the red cube WON'T be picked on the second draw is 1/2.  This is because one cube has already been picked, so there are two remaining. You can only pick one of the two.

(2/3) * (1/2) = (2 * 1) / (3 * 2) = 2 / 6 = 1/3.

Hope this helps!

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

? = 57.42102961

To the nearest degree

? = 57

Answer:

B. [tex]15x^{4}[/tex] + 2x³ - 8x² - 22x - 15

Step-by-step explanation:

1. (3x² - 2x - 3)(5x² + 4x +5)

[tex]15x^{4}[/tex] + 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15

2. Combine like terms

[tex]15x^{4}[/tex] + 2x³ - 8x² - 22x - 15