Help! Surface area!!!

Answer:

-8.05E14

Step-by-step explanation:

If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96

The dimensions to maximize the area must be:

The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:

√(x + y) = 6 units.

Where x and y are the dimensions of the rectangle. We also must have that:

Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:

√(x + x) = 6 units.

√(2x) = 6 units.

x = (√3)/2 = y

So the rectangle is actually a square of side length =  (√3)/2

If you want to learn more about rectangles, you can read:

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It looks like the starting integral is

[tex]\displaystyle \int_{-11}^{11} \int_0^{\sqrt{121-x^2}} dy\,dx[/tex]

The key is recognizing the domain of integration as the semicircle centered at the origin with radius 11. In polar coordinates, this integral transforms to

[tex]\displaystyle \boxed{\int_0^\pi \int_0^{11} r \, dr \, d\theta}[/tex]

[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]

Answer:

A

Step-by-step explanation:

I took the test it was right

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]

Therefore, Stacy's model is 600 millimeters tall

Answer:

12.738

rounded to the nearest hundred is 12.74

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

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Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Answer:

The number is 380

Step-by-step explanation:

Let the number be 'x'

[tex]\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)[/tex]

x  = 20x - 20*361

x = 20x - 7220

Now subtract '02x' from both sides

x - 20x = -7220

  -19x   =-7220

Divide both sides by (-19)

     x = (-7220) ÷ (-19)

    x = 380

Answer:

Perimeter of a rectangle = 2×(Length+Breadth)

(i) Length = 16.8 cm

Breadth = 6.2 cm

Perimeter = 2×(Length+Breadth)

= 2×(16.8+6.2) =46 cm

(ii) Length = 2 m 25 cm

=(200+25) cm (1 m = 100 cm )

= 225 cm

Breadth =1 m 50 cm

= (100+50) cm (1 m = 100 cm )

= 150 cm

Perimeter = 2×(Length+Breadth)

= 2×(225+150) =750 cm

(iii) Length = 8 m 5 dm

= (80+5) dm (1 m = 10 dm )

= 85 dm

Breadth = 6 m 8 dm

= (60+8) dm (1 m = 10 dm )

= 68 dm

Perimeter = 2×(Length+Breadth)

= 2×(85+68) =306

The function represents a decay of 88.97% per unit increase in x.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:

a is the initial value or the value of the function when x = 0

b is the base or the factor by which the function changes for each unit increase in x

Comparing this form to the given function, we can see that:

a = 8600

b = 0.11

To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.

In this case, the base (0.11) is between 0 and 1, so the function represents decay.

To determine the percentage rate of decrease, we can use the formula:

Percentage change = (new value - old value) / old value * 100%

Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:

y(1) = 8600(0.11)¹ = 946

Plugging in these values, we get:

Percentage change = (946 - 8600) / 8600 * 100% = -88.97%

Therefore, the function represents a decay of 88.97% per unit increase in x.

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Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

Answer:

The answer would be 201.06

Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!

Answer:

200.96 mi²

Step-by-step explanation:

Before, finding the area of the circle, first, let us find the radius.

Given that,

diameter ( d ) ⇒ 16 mi

Let us use the below formula to find the radius of the circle.

d = 2r

16 = 2r

Divide both sides by 2.

8 mi = r

And let us find the area of the circle using the below formula.

A = π r²

A = π × 8 × 8

A = 3.14 × 64

A = 200.96 mi²

[tex]\text{L.H.S}\\\\=\dfrac{\sin^4 A - \cos^4 A}{ \sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A)^2-(\cos^2 A)^2}{\sin A + \cos A}\\\\\\=\dfrac{(\sin^2 A + \cos^2 A)(\sin^2 A-\cos^2 A)}{\sin A + \cos A}\\\\\\=\dfrac{1\cdot(\sin A+\cos A)(\sin A - \cos A)}{\sin A +\cos A}\\\\\\=\sin A - \cos A\\\\\\=\text{R.H.S}~~~ \\\\\text{Proved.}[/tex]

Answer:

heya! ^^

[tex] \\ \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } = ( \: sin \: A\: - \: cos \: A \: )\\[/tex]

[tex] \\LHS = \frac{ \sin {}^{4} (A) - \cos {}^{4} (A) }{ (\sin \: A + \cos \: A) } \\ \\ \frac{( \sin {}^{2} \: A + \cos {}^{2} \: A)( \sin {}^{2} A - \cos {}^{2} A) }{ (\sin \: A + \cos \: A) } \\ \\ we \: know \: that \: - \: sin {}^{2} A + cos {}^{2} A = 1 \\ \\ \therefore \: \frac{(1)(\sin {}^{2} \: A - \cos {}^{2} \: A)}{(\sin \: A + \cos \: A)} [/tex]

now , we're well aware of the algebraic identity -

[tex]a {}^{2} - b {}^{2} = (a + b)(a - b)[/tex]

using the identity in the equation above ,

[tex]\dashrightarrow \: \frac{(sin \:A - \: cos \: A)\cancel{(sin \:A + \: cos \: A )}}{\cancel{(sin \: A\: + \: cos \: A)}} \\ \\ \dashrightarrow \: (sin \: A \: - \: cos \: A) = RHS[/tex]

hence , proved ~

hope helpful :D

Answer:

It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.

Step-by-step explanation:

Traveling in a fried-out Kombi

On a hippie trail, head full of zombie

I met a strange lady, she made me nervous

She took me in and gave me breakfast

And she said

Do you come from a land down under?

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover

Buying bread from a man in Brussels

He was six-foot-four and full of muscle

I said, "Do you speak-a my language?"

He just smiled and gave me a Vegemite sandwich

And he said

I come from a land down under

Where beer does flow and men chunder

Can't you hear, can't you hear the thunder?

You better run, you better take cover, yeah

Lyin' in a den in Bombay

With a slack jaw, and not much to say

I said to the man, "Are you trying to tempt me

Because I come from the land of plenty?"

And he said

Oh, you come from a land down under? (Ooh, yeah, yeah)

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover ('cause we are)

Living in a land down under

Where women glow and men plunder

(Can't you hear thunder) can't you hear, can't you hear the thunder?

You better run, you better take cover

Living in a land down under

Where women glow and men plunder

Can't you hear, can't you hear the thunder? (Ooh yeah)

Better run, you better take cover (we are)

Living in a land down under (ooh yeah)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Better run, you better take cover

Living in a land down under (living in a land down under)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

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Answer: See below

Step-by-step explanation:

Question 3:

[tex]a) \ $S=1$ \ yields \ $(1,3)$ \\ \\b) \ $S=3$ \ yields \ $(3,1)$ \\ \\ c) \ $x(\sqrt{10})=\sqrt{10}$ \\ \\d) $y(\sqrt{10}+\sqrt{5})=1$ \\ \\e) $x(2)=2$ \\ \\f) $y(2,5)=1$ \\[/tex]

Challenge:

[tex]\begin{aligned}&x(s)=s \quad ,s \in[0,4] \\&y(s)=\left\{\begin{array}{cc}3 s & , s \in[0,1] \\5-2 s &, s \in[1,2] \\1 & s \in[2,4]\end{array}\right.\end{aligned}[/tex]

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.

Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:

p = 400/500 = 0.8.

More can be learned about relative frequencies at https://brainly.com/question/14398287

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

Answer:

See below ↓

Step-by-step explanation:

Finding w and x [both are equal]

Finding y

Finding z

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

Given:

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft

Answer:

probability=events over the sample space

Step-by-step explanation: