Alex baked a cake for his birthday. At the party his guests ate ⅔ of the cake. The next day, he ate ½ of the rest of the cake. How much of the original cake did Alex eat?

Answer:

It's A

Step-by-step explanation:

Got it right on the practice :)

Based on the data presented , the answer is that Yes, it show repeated and periodic behavior. and thus the data indicate that a sine regression is appropriate in this case.

This occurs as our Moon is said to orbits around Earth. the side of the moon that is facing the Sun is said to be illuminated due to the sun's brightness, just like when the Earth's daylight side is also said to be illuminated by the Sun.

We tend to have a “new Moon” only when our Moon is said to orbit  around the Earth and thus moves it between Earth and the Sun.

See options below

Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case?

a. Yes, it shows repeated and periodic behavior.

b. Yes, it shows a curve increasing from left to right.

c. No, the points are random.

d. No, the points depict a parabola.

Learn more about phases of the moon from

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Answer:

v= 262 (3 significant figures)

Step-by-step explanation:

volume of hemisphere= 2/3 * π * r³

v= 2/3 * 22/7* 125

v= 261.799388cm3

v= 262 (3 sf)

Answer:

there is no solution for X

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Florida is on the 30 mark so its 30 then Alaska is in between 10 and 20 half so half of these numbers is 15 then your going to subtract 30-15 leaving you with 15 and as you can see that answer is presented

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

https://brainly.com/question/29774220

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The volume of a trapezoidal prism is 471.5 m³.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.

Therefore, The volume of this trapezoid is,

= (1/2)×(24 + 19)×21 m³.

= (1/2)×(43)×21 m³.

= 471.5 m³.

learn more about trapezoids here :

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Answer:

x1 = -4

x2 = 3

Step-by-step explanation:

[tex]x^{2} + x = 12\\x^{2} +x-12=0\\x^{2} +4x-3x-12=0\\x*(x+4)-3(x+4)=0\\(x+4)*(x-3)=0\\x+4= 0 \\x-3=0\\x=-4 \\x=3\\x1=-4 \\x2=3[/tex]

Step-by-step explanation:

=> x² + x = 12

=> x² + x -12 = 0

=> x² + 4x - 3x -12 = 0

=> x ( x + 4)-3(x + 4) = 0

=> ( x + 4)(x-3)=0

=> x = 3 , -4

Answer:

Step-by-step explanation:

1. 5a - 8b + 7b + 3a

→ 5a + 3a - 8b + 7b

→ 8a - b ★

2. -5a + 8b - 7b - 3a

→ -5a - 3a + 8b - 7b

→ -8a + b ★

3. 5a + 8b - 7b + 3a

→ 5a + 3a + 8b - 7b

→ 8a + b ★

4. -5a - 8b + 7b - 3a

→ -5a - 3a - 8b + 7b

→ - 8a - b ★

Final answers ;

[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]

[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]

[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]

[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]

5a – 8b + 7b + 3a

5a – 8b + 7b + 3a

= 5a + 3a – 8b + 7b

= 8a – b ( Answer )

________________________________________________

–5a + 8b – 7b – 3a

–5a + 8b – 7b – 3a

= –5a – 3a + 8b – 7b

= –8a + b ( Answer )

________________________________________________

5a + 8b – 7b + 3a

5a + 8b – 7b + 3a

= 5a + 3a + 8b – 7b

= 8a + b ( Answer )

________________________________________________

–5a – 8b + 7b – 3a

–5a – 8b + 7b – 3a

= –5a – 3a – 8b + 7b

= –8a – b ( Answer )

________________________________________________

[tex]\huge{\mathbb{\tt{QUESTION↓}}}[/tex]

1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.

[tex]\huge{\mathbb{\tt{SOLUTION↓}}}[/tex]

[tex]\textsf{ Given that: M=5 , S=4 , E=3}[/tex]

[tex]\begin{gathered}\\\end{gathered} [/tex]

[tex]\textsf{ Using the Linear Permutation:} [/tex]

[tex]\sf{P=n!}P=n![/tex]

[tex]\sf{P=5!}P=5![/tex]

[tex]\sf{P=5×4×3×2×1}[/tex]

[tex]\sf{P=120}[/tex]

[tex]\begin{gathered}\\\end{gathered}[/tex]

P=n!}

P=4!

P=4×3×2×1

P=24

P=n!

P=3!

P=3×2×1

P=6

Multiply all the permutations:

P=120×24×6

P=17,280

[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]

There are 17,280 ways we can arrange in a shelf.

#CarryOnLearning

#LetsEnjoyTheSummer

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

Answer:

do it on a calculater

Step-by-step explanation:

but it equels  2 and 22║27

Commutative property!!!!!

9514 1404 393

Answer:

  ∠CBE = 59°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

  ∠BCD +∠CDE = 180°

  ∠BCD +∠CDB +∠BDE = 180°

  (21x -5) +34 +(4x+1) = 180

  25x +30 = 180

  25x = 150

  x = 6

∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35

∠CBE = 59°

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

Answer:

rose: $2.75; carnation: $1.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

mean: equal for both data sets

median: Greater for data set A

Range: Greater for data set B

Answer:

(10,9)

Step-by-step explanation:

Hope This Helps

Answer:

10,5

Step-by-step explanation:

not a 100% sure

Answer:

Hi! The answer to your question is 234t-12

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

234t - 12

Step-by-step explanation:

12(18t) + 2t (9) - 12

12× 18t + 2t × 9 - 12

216t + 18t - 12

234t - 12

Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.

The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

⇒ S(t) = 2 - 0.25 t

Which is the required function's formula.

Answer:

Step-by-step explanation:

Find the total surface area of the

following square pyramid:

6 cm

8 cm

SA = [?] cm2

Answer:

Step-by-step explanation:

Answer:

160

Answer:

There are three pieces per bundle.

Answer: -12y²+7y²+20y-7

Step-by-step explanation:

Here, we need to use the concept of the FOIL method

----------------------------------------------------------

Given

 (-3y+1)(4y²-y-7)

Expand Parenthesis using FOIL

-12y³+3y²+21y+4y²-y-7

Put like terms together

-12y³+(3y²+4y²)+(21y-y)-7

Combine like terms together

-12y²+7y²+20y-7

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].

Step-by-step explanation:

Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].