Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?


WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answer:

Step-by-step explanation:

The volume of a sphere is given as

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 as π:

[tex]V=\frac{4}{3}(3.1415)(4)^3[/tex] to get that

V = 268.07 cm³

Step-by-step explanation:

Hey there!

The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.

So, For finding sin (theta);

Take cos (theta) right side.

sin²(theta) = 1-cos²(theta)

Now, take square on right side from.

sin (theta) = √[1-cos²(theta)] {square changes into square root}

Therefore, sin (theta) = √[1-cos²(theta)].

Hope it helps!

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

Mode: 20

Mean: 17.5

Median: 19.5

Step-by-step explanation:

Mode: Most common one : 20

Mean: 19+25+23+20+9+20+15+10+5+16+25+20+24+12+20=263

263/15= 17.5

Median: 5, 9, 10,12,15,16,19,20,20,20,23,24,25,25. The middle ones arer 19 and 20. the middle of 19 and 20 = 19.5

Hope this helps! Have a nice day!

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

Answer:

Yes

Step-by-step explanation:

Here's why:

15 ÷ 5 = 3

10 ÷ 5 = 2

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So: 15:10 = 3:2

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Have a good day :)

Answer:

640 Miles

Step-by-step explanation:

Answer:

Answer is 1536

Step-by-step explanation:

plug in 3 for x

f(3) = 3*8^3 = 1536

Answer:

1536

Step-by-step explanation:

f(x) = 3 * 8 ^ x

x = 3

f(3) = 3 * 8 ^ 3

8^3 = 8 * 8 * 8

8^3 = 512

f(3) = 3 * 512

f(3) = 1536

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

Hi there!

Adjacent angles, or angles that are next to each other, add up to 180 degrees. They are supplementary.

Examples: 1 and 4, 3 and 4, 2 and 3, 1 and 1

Opposite angles, or angles that are opposite of each other, have the same measure.

Examples: 1 and 3, 2 and 4

I hope this helps!

Answer:

a = 0 or a = -7

Step-by-step explanation:

We are going to solve this quadratic equation by factorizing.

a² - 7a = 0

a(a - 7) = 0

a = 0 or a - 7 = 0

a = 0 or a = -7

Answer:

I think it could be the X-axis

Answer:

yeah it is -3y=-22+7/3 so y > 5

Step-by-step explanation:

Answer:

Following are the solution to the gvien question:

Step-by-step explanation:  

Let the quadratic equation is:

[tex]\to h(x) = (x + 1)^2 - 4[/tex]

vertex is:

[tex]\to h(x) = a(x -h)^2 + k[/tex]

(h) = axis of symmetry

(h,k) = vertex.

By using the given equation:

[tex]h(x) = (x - (-1))^2 - 4[/tex]

Hence,

[tex]h = -1 \\\\ k = -4[/tex]

line of symmetry [tex]x = -1[/tex]  

vertex is [tex](h,k) = (-1,-4)[/tex]

finding the x intercept:

 [tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]

x -intercepts -3,1

Calculating the y-intercept when x = 0 putting into the real equation:

[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]

Please find the graph file in the attachment.

Answer:

Step-by-step explanation:

There are three surfaces to add up to.

A1, the top surface of the cone (r=1,h=2)

A2, The curved surface of the cylinder (r=1 , h = 13-2 = 11)

A3, The circular base of the cylinder (r=1)

The slant height of the cone, s = sqrt(1^2+2^2), s = sqrt(5)

The length (circumference of the base), l = 2 pi r = 2pi r = 2pi

The area is

A1 pi s l = pi * sqrt(5) (2 pi r) = 2(pi^2)sqrt(5)

The curved surface has an area of

A2 = 2 pi r h = 2pi (1)(11) =22pi

The base has an area of

A3 = pi r^2 = pi

Total area = A1+A2+A3 = 2sqrt(5) (pi^2) + 22pi + pi

= 2sqrt(5) pi^2 + 23pi

= 116.4  m^2 approx.

Answer:

40

Step-by-step explanation:

Answer:

the answer must be ±6

Step-by-step explanation:

√36 = ±6

Answer:

6 is the correct answer because✓36 is 6

Answer:

9

Step-by-step explanation:

There are 4 sides to a square so you would divide 36 by 4.

36/4=9

Answer:

(f o g)(x) = 0.8x - 15

Step-by-step explanation:

(f o g)(x) = f(g(x)) = applying first g(x), and then using that result as input value for f(x).

so, first we discount by 20% and use g(x)

g(x) = 0.8x

and then we use that in f(x)

f(0.8x) = 0.8x - 15

and that is the result.

Answer:

240 [tex]inches^{2}[/tex]

Step-by-step explanation:

11 + 1 = 12

19 + 1 = 20

12 x 20 = 240

Step-by-step explanation:

Hey there!

Given function is f(X) = 11x+7.

Let f(X) be y.

So, y = 11x+7

Interchanging"X" and "y" we get;

X = 11y+7

or, X-7 = 11y

or, y = (x-7)/11

Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]

Hope it helps!

Answer:

9x-10y

Step-by-step explanation:

9x+y-2y-9y(Multiply by 1)

Combine like terms

9x-10y

Answer:

33.5 units²

Step-by-step explanation:

We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.

Answer:

33.5 unit²

it's a mixture of triangle and square.

draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²

Answer:

a

Step-by-step explanation:

:) for sure

Answer:

x = 3y - 2

Step-by-step explanation:

Given the equation y = 1/3(x+2), we are to make x the subject of the formula;

y = 1/3(x+2)

Cross multiply

3y = x+2

Subtract 2 from both sides

3y - 2 = x+ 2 -2

3y - 2 = x

Swap

x = 3y - 2

This give the required equation

Answer:

hope this helped ^-^

Step-by-step explanation:

Answer:

-3/7

Step-by-step explanation: