The solution to the equation −2(x+11)=−8 is x=

==========================================================

Explanation:

The volume of the cone is...

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*(1.25)^2*2.75

V = 4.49739583333333

which is approximate.

-----------

The volume of the sphere is

V = (4/3)*pi*r^3

V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter

V = 0.06541666666667

which is approximate as well

-----------

Subtract the two volumes to finish things up

4.49739583333333-0.06541666666667 = 4.43197916666667

The result 4.43197916666667 then rounds to 4.43

This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.

Answer:

81 cm^3

Step-by-step explanation:

We know that we have to use 3 for pi.

Formula given for formula of cone is:

πr^2h ÷3

Use formula with the given pi and dimensions:

3(3^2)(9) ÷ 3

= 3(9)(9) ÷ 3

= 243 ÷ 3

= 81

Volume is measured in cubic centimeters.

FINAL ANSWER:

81 cm^3

Hope this helps!

Answer:

Step-by-step explanation:

5 red

3 blue

6 white

2 green

total 16 marbles.

Note: P(E) = probability of event E happening

P(~E) = probability of event E NOT happening.

We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.

A. choose one marble at random.

P(W) = 6 white / 16 total = 3/8

B. choose one marble at random.

P(~R) = (16-5)/16 = 11/16

C. choose one marble at random, then a second one without replacement,

there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.

P(BB) = (3/16)*(2/15) = 1 / 40

D. choose two with replacement

5 red out of 16 for first draw, still 5 red out of 16 for second draw.

P(RR) = (5/16)^2 = 25/256

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{x - 7}>\large\textsf{-3.1}[/tex]

[tex]\large\text{ADD 7 to BOTH SIDES of the equation}[/tex]

[tex]\large\textsf{x - 7 + 7}>\large\textsf{-3.1 + 7}[/tex]

[tex]\large\text{CANCEL out: -7 + 7 because that gives you the value of 0 and}\\\large\text{NOT the number that is being compared to your x-value}[/tex]

[tex]\large\text{KEEP: -3.1 + 7 because this side of the equation helps you find}\\\large\text{the number or value that is being compared to the x-value }[/tex]

[tex]\large\textsf{-3.7 + 7 = \boxed{\bf 3.7}}[/tex]

[tex]\large\text{So, the number \underline{3.9} is being compared to your x-value}[/tex]

[tex]\bullet \large\text{\bf Your circle is O-P-E-N and it's shaded to RIGHT SIDE on}\\\large\text{\bf a number line }\huge\checkmark\\\\\\\large\textsf{Random fact about your equation}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf x }> \large\textsf{\bf 3.9}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

22 exhibits

Step-by-step explanation:

We are told from the above question that:

Sandy went to her local zoo where 50% of it's exhibits featured reptiles.

If the zoo features 44 exhibits in total, then the number of the zoo's exhibits that feature reptiles is calculated as:

50% of 44

50/100 × 44

= 50 × 44/100

= 22

Therefore, the number of the zoo's exhibits that feature reptiles is 22 exhibits.

Answer:

c

Step-by-step explanation:

right

Answer:

i. Two angles can be vertical and supplementary.

ii. Yes, we can determine the angles.

Step-by-step explanation:

When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .

It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .

This answer is right. Please mark Brainliest!

Answer:

im not sure

Step-by-step explanation:

Answer:

joseph là 6 feet hoặc 2 thước Anh hoặc 182 cm.

Given:

The function is:

[tex]f(x)=3x-5[/tex]

To find:

The average rate of change of the function between x = 3 and x = 7.

Solution:

We have,

[tex]f(x)=3x-5[/tex]

For [tex]x=3[/tex],

[tex]f(3)=3(3)-5[/tex]

[tex]f(3)=9-5[/tex]

[tex]f(3)=4[/tex]

For [tex]x=7[/tex],

[tex]f(7)=3(7)-5[/tex]

[tex]f(7)=21-5[/tex]

[tex]f(7)=16[/tex]

The average rate of change of the function f(x) between x = a and x = b is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The average rate of change of the function between x = 3 and x = 7 is:

[tex]m=\dfrac{f(7)-f(3)}{7-3}[/tex]

[tex]m=\dfrac{16-4}{4}[/tex]

[tex]m=\dfrac{12}{4}[/tex]

[tex]m=3[/tex]

Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.

the answer is b lil boy ggggggg

Answer:

[tex](x+9)^2+y^{2}=25[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.

Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].

Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]

Answer:

Length could be 14.05 ft and width 3.41 ft.

Step-by-step explanation:

The volume of the sand in the second box = 24 ft^3.

Let its base be x feet wide and y feet long.

Then  2(x + y) < 35.

The volume of sand = 0.5xy ft^3.

So 0.5xy = 24

xy = 48.

x = 48/y

Substituting ih the above inequality:

2(48/y + y) < 35

96/y + 2y < 35

2y^2 - 35y + 96 < 0

Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.

So the length  could be 14.05 ft and the width 48/14 = 3.41 ft.

The length could be 14.05 ft and the width will be 3.41 ft.

The volume of the sand in the second box = 24 ft³.

Let its base be x feet wide and y feet long.

Then  2(x + y) < 35.

The volume of sand = 0.5xy ft^3.

So 0.5xy = 24

xy = 48.

x = 48/y

Substituting the above inequality:

2(48/y + y) < 35

96/y + 2y < 35

2y² - 35y + 96 < 0

Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.

So the length could be 14.05 ft and the width 48/14 = 3.41 ft.

To know more about volume follow

https://brainly.com/question/15607324

#SPJ2

Done done done, W=3.46+8.5

W=11.96!

Hit the heart if it was helpful!

Answer:

11.96

Step-by-step explanation:

Answer:

(3-x) is the other factor.

Step-by-step explanation:

The given function is :

[tex]F(x)=-x^{2}+7x-12[/tex]

One of the factor is (x-4)

We need to find the other factor.

It can be solved as follows :

[tex]F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)[/tex]

So, the other factor is (3-x).

Answer:

A) 0.265

B) 0.0265

C) 0.837

D) 0.0837

E) 0.00265

F) 0.00837

Step-by-step explanation:

We are given;

√7 = 2.65 and √70 = 8.37

A) √0.07 can be rewritten as;

√(7 × 1/100)

Let's deal with the digits in the bracket.

Square root of 100 is 10. Thus;

√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265

B) √0.0007

Rewrite to get;

√(7 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265

C) √0.7

Like above;

√0.7 = √(70 × (1/100))

>> (1/10)√70 = (1/10) × 8.37 = 0.837

D) √0.007

Like above;

Rewrite to get;

√(70 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837

E) √0.000007

Rewritten to;

√(7 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265

F)√0.00007

Rewritten to;

√(70 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837

Answer:

Step-by-step explanation:

Answer:

Let P be thd population of rabbit

P = 2 to the power of n

where n is the period of month

Answer:

I believe it's Algebra because it contains variables and equations where you have to do what you just described in your question.

Hope I helped, have a nice day :)

Answer:

geometric

arithmetic

Step-by-step explanation:

there are no statements to check. you did not copy them in.

but I can solve the first part of the question.

sequence 1 :

-10, 20, -40, 80, -160, 320, -640, ...

I extended the sequence by a few more terms.

but it is clear that each new term is the previous term multiplied by -2.

since the sequence is built by multiplication, it is geometric.

sequence 2:

15, -5, -25, -45, -65, -85, ...

so, it is clear that each new term is the previous term subtracted by -20.

since the sequence is built by adding or subtracting, it is arithmetic.

Answer:

there would be 20 bottles.

Step-by-step explanation:

13 divided by .65 = 20

Answer:

The initial value is the y value when x is zero.  Look at the table to help you determine the y value when x is zero and that is your answer.

Step-by-step explanation:

Answer:

Mid - point = ( 2 , 1 )

Step-by-step explanation:

Let A = ( - 4 , 2 ) and B = ( 8 , 0 )

Let P = ( x , y ) be the mid-point of AB

Then,

     [tex]P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)[/tex]

Answer:

(2,1)

Step-by-step explanation:

Hi there!

Midpoint: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] where two endpoints of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4,2) and (8,0)

[tex](\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)[/tex]

Therefore, the midpoint of the line segment is (2,1).

I hope this helps!

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Answer:

32

Step-by-step explanation:

In order to find the measure of angle A we must first find x

If you didn't know, supplementary angles add up to equal 180

Hence, 2x - 16 + 5x + 28 = 180

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation that we created

2x - 16 + 5x + 28 = 180

Combine like terms

7x + 12 = 180

Subtract 12 from both sides

7x = 168

Divide both sides by 7

We're left with x = 24

Now to find Angle a

To find Angle A we simply substitute 24 for x in 2x - 16

* Substitute 24 for x *

2(24) - 16

Multiply

48 - 16

subtract

/_ A = 32

Answer:

see below

Step-by-step explanation:

we are given

[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}[/tex]

we want to prove it algebraically

to do so rewrite 30:

[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]

let 29 be a thus substitute:

[tex] \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]

factor the denominator:

[tex] \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

Factor out a²:

[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

factor out 1:

[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

group:

[tex] \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

reduce fraction:

[tex] \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]

[tex] \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]

substitute back:

[tex] \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]

simplify substraction:

[tex] \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} [/tex]

hence Proven

Answer:

Step-by-step explanation:

Identity to use:

1+N+N^2+N^3 = (N^4-1)/(N-1)

Let N=29

1+29+29^2+29^3 = (29^4-1) / (29-1)

30+29^2+29^3 = (29^4-1) / 28

Transpose and re-arrange

(29^3+29^2+30) / (29^4-1)  =  1 / 28     QED

Answer:

Its D

Step-by-step explanation:

Answer:

(a)

Sample space:

Total 16 outcomes

(b)

(a) Sample space:

Total 8 outcomes

(b)

(i) 1T, 3T

(ii) 1H, 4H

(iii) 1H, 2H, 3H, 4H

Answer:

45cm

Step-by-step explanation:

Since they are simliar, they are proportional.

SO, you can do AC/XZ = BC/YZ

You can also see that XZ is 5 times larger than AC

SO multiply BC by 5.