Grandma Maude wanted a tall cake for her 80th birthday. The baker made a cake with 4x3 – x layers. Each layer was 2 + 3x2 cm. Which expression shows the total height of Grandma Maude’s cake?

Answers

Answer 1

Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:

[tex]t = 12x^5 + 5x^3 - 2x[/tex]

This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.

The rule of three is:

1 layer - [tex]2 + 3x^2[/tex] cm

[tex]4x^3 - x[/tex] layers - t cm

Applying cross multiplication:

[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer 2

Answer:

12x5 + 5x3 – 2x cm

Step-by-step explanation:


Related Questions

h=-16t^2+72t+100 solve for t

Answers

Answer:0

Step-by-step explanation:

hey i'm in the six grade i'm not sure but pls try it

A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?

Answers

Answer:

Step-by-step explanation:

Answer:

  (17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

  35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

  35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

  (17.5√2 miles west, 17.5√2 miles north)

_____

Additional comment

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

  (-24.7, 24.7) miles

There is an array under. what is the last number?
1 2 4 7 13 24 ?

Answers

Answer:

Here's one possible solution

Step-by-step explanation:

Double the number and subtract the corresponding value from the sequence

0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5...

        1 + 1 - 0 = 2

      2 + 2 - 0 = 4

       4 + 4 - 1 = 7

       7 + 7 - 1 = 13

   13 + 13 - 2 = 24

 24 + 24 - 2 = 46      ←←←

 46 + 46 - 3 = 89

 89 + 89 - 3 = 175

175 + 175 - 4 = 346

0.15% of what number is 10.5

Answers

the answer is 7000..

Answer:

70

Step-by-step explanation:

10.5/0.15 = 70

Check:

70 · 0.15 = 10.5

SOMEBODY HELP ME NO LINKS PLEASE

Answers

What do you need help with I don’t see where you would need help No fence it just all looks filled in I would love to help

Which theorem explains why the circumcenter is equidistance

Answers

Perpendicular Bisector Theorem

prove the identity.
(1-sin^2x)tanx=cosxsinx
Note that each Statement must be based on a Rule

Answers

[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]

how to make chicken, with rice ....​

Answers

Answer:

put rice with chicken

Step-by-step explanation:

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?​

Answers

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

[tex]10+x+2x=70[/tex]

Then, you can simply solve for x:

[tex]10+3x=70\\3x=60\\x=20[/tex]

The man traveled 20km by train.

[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]

Solve by completing the square 2x^2+x-4=0​

Answers

Answer:

x=-1±[65]

________

8

Step-by-step explanation:

solve the equation for xby finding a,b, and come of the quadratic then applying the quadratic formula

57846*3746 help please

Answers

Answer:216691116

Step-by-step explanation:

Answer:

216,691,116

Step-by-step explanation:

find the following right triangle, find the side length x

Answers

Answer:

x=41

Step-by-step explanation:

9²+40²=x²

81+1600=x²

1681=x²

√1681=√x²

41=x

2. Dominique baked 4 dozen muffins. She wants to put the muffins in packages of 6.
How many packages will she have?
A 6
(B 8
© 10
0 24
E 288

Answers

Answer:

24 packages

Step-by-step explanation:

One dozen is 12, so 4 x 12 = 24

The plans for a shed call for a rectangular floor with a perimeter of 186 ft. The length is two times the width. Find the length and width.

Answers

Answer:

  length: 62 ft

  width: 31 ft

Step-by-step explanation:

Let w represent the width. Then the length is 2w and the perimeter is ...

  P = 2(L+W)

  186 = 2(2w +w)

  31 = w . . . . . . . . . divide by 6

  2w = 2(31) = 62

The length of the shed is 62 feet; its width is 31 feet.

Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredients weigh altogether?

Answers

Answer:

1125.

Step-by-step explanation:

I'm going to work out the answer is grams.

1kg = 1000g

0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.

225 + 225 + 225 + 200 +250 = 1125.

Hope that helps. x

Answer:

1.125kg or 1125g

Step-by-step explanation:

1kg: 1000g

Butter: 0.225kg or 225g

Sugar: 225g or 0.225kg

Flour: 225g or 0.225kg

Eggs: 0.2kg or 200g

Berries: 250g or 0.25kg

In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125

In g: 225 + 225 + 225 + 200 + 250 = 1125

hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))

Answers

Answer:

.....

Step-by-step explanation:

merry Christmas to you too

Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime

Answers

Answer:

5.96 x 36 = 214.56.

286.08 - 214.56 = 71.52

71.52 divided by 8.94 = 8.

He worked 8 additional hours.

Answer:

The worker worked about 8 hours overtime.

Step-by-step

First we figure out how much they made without overtime.

Multiply 5.96 x 36 and you would get 214.56

Then we figure out how many hours he worked overtime

Multiply 8.94 times 8 and you would get 71.52

Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.

in the pediatric unit of a hospital has 165 beds how many are there if each room holds 3 beds

Answers

Answer:

There are 55 rooms

Step-by-step explanation:

There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.

Hope this helps!

Based on the scatterplot, what is the best prediction of the amount of $ in sales when the temperature is at 21°C?​

Answers

Answer:

Between 400$ and 500$

Step-by-step explanation:

Draw a straight line that follows the scatterplot - either by guesstimating (best choice) or by applying any known method to extrapolate a line. Then it's just a matter of reading the y value corresponding to that x. Hardly a perfect image, but close enough since it's a prediction

Find f ′(x) for f(x) = ln(x^4 + e^(2x)).

Answers

[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]

After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given data in the question,

f(x) = ln (x⁴ + e²ˣ)

[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]

Now, use the chain rule,

[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]

Also, note some points,

d/dx ln (x) = 1/x

[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]

To know more about Expression:

https://brainly.com/question/14083225

#SPJ2

There are eight swans swimming on a pond and four of those swans are
black. What fraction of the swans are black?

Answers

Answer: A. (4/8)

Step-by-step explanation: If there is 4 black swans and 8 swans in total you could see it's 4 black swan out of 8 total swans. You could do

8/8 - 4/8 = 4/8 to find out the answer too.

Total number of swans= 8
Total no.of black swans= 4
Fraction of black swans among all swans= 4/8
If you simplify 4/8 you will get 1/2, in exam you have to always write the simplified version to get full marks
Hope it helped

The position of a large fish relative to the water surface was −17 1/3 feet. It suddenly dove straight down and increased its depth by 6 1/2 feet. What is the position of the fish now relative to the water surface? Enter your answer as a mixed number, in simplified form, in the box.

Answers

So let’s imagine this on a number line…so we know that the fish starts at -17 1/3 on the number line but he dives (that means go lower in our number line) 6 1/2 feet downward so let’s set up an equation:

-17 1/3 - 6 1/2
Now, let’s subtract the two integers by finding the least common denominator of 2 and 3 so it can be easier to solve in this case it’s 6…then let’s set up our new equation:

-17 2/6 - 6 3/6
We know it’s a negative number since we are subtracting a negative number and our final answer is -23 5/6

PLEASE HELP ME please

Answers

Answer:

C

Step-by-step explanation:

There isnt rly a lot of information from this question but my best guess would be C.  It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.

Sorry if im wrong but i hope this helps have a great day and happy holidays (「•-•)「

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.

Answers

Answer:

width(w)= 20inches

Step-by-step explanation:

solution,

given,

perimeter of a rectangle (P)=68inches

length of rectangle= 14 inches

we know,

perimeter of a rectangle=2L + 2W

or,68=2×14+2×w

or,68-28=2w

or,40=2w

or,w=40÷2

or,w=20inches.

Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.

What will be the location of T′ in the image trapezoid S′T′U′V′?

(18, −2)
(18, 2)
(15, −2)
(15, 2)

Answers

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.

In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut

3. A rectangular deck has an area of 24 square yards. The length of the deck is shown in the figure. What is the width of the deck in yards? Enter your answer in the box.

Answers

Answer:

can you please send the picture as well because for this

(The length of the deck is shown in the figure.=??)

figure is needed ..

Tell me the figure but rectangular deck has area 24 use rectangle formula b(h)= area or lwh=area
But we already know the Area
lwh=24
But I don't see the length of the deck that shown in the figure

Sorry you don't have enough information

9. Sofija buys a bracelet for $14.50 plus 8% tax.
Momoka buys a necklace for $12 plus 8% tax.
Enter the sum, in dollars, that Sofija and
Momoka paid, including tax.

Answers

Answer:

$12.96

Step-by-step explanation:

Before Tax Price: $12.00

Sale Tax: 8.00% or $0.96

After Tax Price: $12.96

Help help help math math

Answers

Answer: -1 = (-3/3)

Step-by-step explanation

You go from one point to another, i started from 3,1 and went to 3,0. I got down -3 which is my rise and right 3 for the run. Tell me if this is correct

Evaluate each of the following limits.
a. lim 8(2 + h) – g(2)
if gt) = VI + 7
h
h→0
How do you solve this?

Answers

Answer:

  lim = 1/6

Step-by-step explanation:

Apparently, we have ...

  [tex]g(t)=\sqrt{t+7}[/tex]

It often works well to multiply by the conjugate of a difference that approaches zero.

  [tex]\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}[/tex]

Cassidy is selling popcorn for a fundraiser sale at the price shown. he purchases a total of 150 containers of popcorn to sell. after he sells 25 containers, he will make a total profit, after his upfront costs, of $5.50 cassidy's profit, after upfront costs, can be modeled by a linear function in the form of y=mx+b.

C. Will the function be discrete or continuous? Explain.

D. Write the function that models Cassidy's profit.

E. What is the domain of the function?


F. What is Cassidy's profit or loss if he does not sell any popcorn?

G. What is cassidy's profit if he sells all the popcorn?

H. What is the range of the function? ​

Answers

The domain and the range of the function describes the possible profit or

loss from the sale of popcorn and the number of popcorn units.

The correct responses are;

C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193

Reasons:

The question parameters are;

The price of a popcorn = $1.5

Number of popcorn he purchases = 150

Total profit made = $5.50

The number of containers sold = 25

Therefore;

C. Given that the number of containers sole is countable, the function will be discrete.

D. Cost of the containers = Revenue - Profit

Which gives;

Cost of the containers = 1.5 × 25 - 5.5 = 32

The given function is therefore;

y = 1.5·x - 32

E. The domain is the 150 containers which gives;

The domain = 0 ≤ x ≤ 150

F. When no popcorn is sold, we have;

x = 0, which gives;

y = 1.5 × 0 - 32 = -32

If he does not sell any popcorn, the loss is $32

G. If all the popcorn are sold, we have;

x = 150

Therefore;

y = 1.5 × 150 - 32 = 193

The profit if all the popcorn are sold = $193

H. The range of the function are the possible y values, which is the possible profit or loss, which gives;

The range = -32 ≤ y ≤ 193

Learn more about linear function here:

https://brainly.com/question/7043594

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