4 1/3 x 5 1/3 x 8 1/3 x 6 divided by 2.

Answer:

[tex]d_e =6.67ft[/tex]

Step-by-step explanation:

From the question we are told that:

Weight of Roger [tex]W_r=120\ pounds[/tex]

Distance of Roger from fulcrum [tex]d_r=6 ft[/tex]

Weight of Ellen [tex]W_e=120\ pounds[/tex]

Generally the equation for distance-weight relationship is mathematically given by

  [tex]d\alpha \frac{1}{W}[/tex]

  [tex]\frac{d_1}{d_2} =\frac{W_2}{W_1}[/tex]

  [tex]\frac{d_r}{d_e} =\frac{W_e}{W_r}[/tex]

Therefore

 [tex]\frac{d_e}{d_r} =\frac{W_r}{W_e}[/tex]

 [tex]d_e =\frac{W_r*d_r}{W_e}[/tex]

 [tex]d_e =\frac{6*120}{108}[/tex]

 [tex]d_e =6.67ft[/tex]

Therefore the distance from the fulcrum she must sit to balance the seesaw is given as

[tex]d_e =6.67ft[/tex]

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

https://brainly.com/question/25841119

#SPJ7

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

Substituting the values given in the 1st formula, We get,

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

Substituting the values calculated above in the 2nd formula, We get

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

Answer:

0.8^4

Step-by-step explanation:

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

Answer:

seems hard

Step-by-step explanation:

YEEEEET IT AWAY

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

Answer:

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

Step-by-step explanation:

Given

[tex]n(2019)= 3[/tex]

[tex]n(2001)= 2\\[/tex]

[tex]n(2008)= 2[/tex]

[tex]n = 7[/tex] --- total

Required

[tex]P(Not\ 2019)[/tex]

When two quarters not minted in 2019 are selected, the sample space is:

[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]

So, the probability is:

[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(2001,2001) = P(2001) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2001) = \frac{1}{21}[/tex]

[tex]P(2001,2008) = P(2001) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2001,2008) = \frac{2}{21}[/tex]

[tex]P(2008,2001) = P(2008) * P(2001)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]

[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2001) = \frac{2}{21}[/tex]

[tex]P(2008,2008) = P(2008) * P(2008)[/tex]

Since it is a selection without replacement, we have:

[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]

[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]

[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]

[tex]P(2008,2008) = \frac{1}{21}[/tex]

So:

[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]

[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]

Take LCM

[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]

[tex]P(Not\ 2019) = \frac{6}{21}[/tex]

Simplify

[tex]P(Not\ 2019) = \frac{2}{7}[/tex]

Answer:

what langue is that

Step-by-step explanation:

Answer:

[tex] \frac{ \sqrt{3} }{2} x = 15 \\ x = \frac{30}{ \sqrt{3} } = 10 \sqrt{3} \\ \\ area = \frac{3 \sqrt{3} }{2} {x}^{2} = 15 \times 3 \times 10 \sqrt{3} = 450 \sqrt{3} [/tex]

Answer:

30 seconds

Step-by-step explanation:

10 ÷ 10 = 1 block

5 ÷ 10 = 0.50

0.50 of a minute is 30 seconds

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Let's Solve :

Therefore, the correct answer is 12

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

61°

Step-by-step explanation:

[tex]9x+7=13x-17[/tex], QO Bisector

[tex]x=6\\[/tex], Algebra

[tex]m<POQ = 60[/tex], Algebra/Sub

Answer:

-x/x^2-1

Step-by-step explanation:

-x^2+x/x^3-x^2-x+1

x(-x+1)/(x+1)(x-1)(x-1)

-x/x^2-1

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

Answer:

3 miles

Step-by-step explanation:

22-4 so 18 dollars left

18/6 = 3, so 3 miles

Answer:

3 miles

Step-by-step explanation:

Berry only has $22

Subtract the flat fee, $4, so 22-4=18

$18 divided by $6/mile = 3 miles

Answer:

16000 grams

Step-by-step explanation:

9(1000) + 7(1000) = 16000

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

Answer:

8 , 32 AND 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

area =l^2

=7^2

=49 km^2

Answer:

10

Step-by-step explanation:

arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten

if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest

Answer:

Hello There!!

Step-by-step explanation:

Median is ordering the numbers from smallest to biggest.

Ordered: 4,6,6,9,11,19,23,34

And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.

hope this helps,have a great day!!

~Pinky~

You can use the Pythagoras theorem for this since a right triangle is formed.

[tex]c^2 = a^2 + b^2[/tex]

C = 12

A = 4

B = x

Input values:

[tex]12^2 = 4^2 + x^2[/tex]

[tex]144 = 16 + x^2[/tex]

[tex]128 = x^2[/tex]

[tex]x = \sqrt{128}[/tex]

[tex]x = 11.3137...[/tex]

So, about 11ft.

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

20 cm

Step-by-step explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm

Answer:

0.6 I think ........................