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:
12x5 + 5x3 – 2x cm
Step-by-step explanation:
How do I Subtract fractions! Please explain step by step to get marked
Answer:
1) Make sure the bottom numbers (the denominators) are the same.
2) Subtract the top numbers (the numerators). Put the answer over the same denominator.
3) Simplify the fraction (if needed).
Step-by-step explanation:
Hope this helps!
Show all work to multiply
(3+ square root -16) (5 – square root -25)
[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]
the sum and product of zeroes are 4 and 1 respectively then the quadratic equation is
A. x² - 4x + 1 =0
B. x + 1=0
C 4x² +x +1 =0
D . x² + 7x+1 =0
Answer:
A. x²- 4x+ 1
option A is the answer
What is 5x + 12 < 2 ?
Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary
There are 6 numbers on a standard die and. 5 of the numbers are less than 6.
The probability would be 5/6
Find the missing number so that the equation has infinitely many solutions.
4(4x - 14) - 14x +
-2(-x + 19)
Answer:
18
Step-by-step explanation:
Maybe you want to fill in the blank so this is true for all x:
4(4x -14) -14x + ___ = -2(-x +19)
Simplifying, we get ...
16x -14x -56 + ___ = 2x -38
Adding 56-2x to both sides leaves ...
___ = 18
The missing number is 18.
Pls help fast i will mark brainlyest
Answer:
x = 20
Hope you could get an idea from here.
Doubt clarification - use comment section
What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly
Answer:
Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!
Step-by-step explanation:
I = p x r x t
I = 82,000 x 8 x 11yrs
BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is
I = 82,000 x 0.08 x 132
I = 865,920
Given mſn, find the value of x.
(6x+10)
>
(10x+10)
Helpppp mee pleaseeeee
Answer:
Step-by-step explanation:
Simplified this is 9 :)
SOMEBODY PLZ CHECK IF MY ANSWER ARE CORRECT NO LINKS PLZ AND THANK YOU
Answer:
the first one's right i think
Factor. 9(p-1)+(p-1)^2
Answer:
9(−1)+(−1)(−1)Step-by-step explanation:
[tex]9(p-1)+(p-1)^2[/tex]
[tex]p^2+7p-8[/tex]
[tex]=(p-1)(p+8)[/tex]
Answer:[tex](p-1)(p+8)[/tex]For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)
Answer:
(f-g)(x) is given by -x^2+4x+6
Step-by-step explanation:
Which of the following is equivalent to [picture]
A) a0 + a1 + a2 + a3 + a4 + a5
B) a1 + a2 + a3 + a4 + a5
C) a0 + a1 + a2 + . . .
D) a1 + a2 + a3 + . . . + a∞
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 8 times older
54 + x = 6; x = 48 times older
6x = 54; x = 9 times older
54x = 6; x = 9 times older
Answer:
6x = 54; x = 9 times older
Step-by-step explanation:
find the value of 7u+7 given that -3u-5=4
Answer:
14
Step-by-step explanation:
-3u = 4+5
-3u = 9
u = -3
7u + 7
7(u +1) = 7(-3+1)
7(-2)
14
Help help help help math math
Answer:
x = 35
Step-by-step explanation:
First, set both equations equal to each other because it is the same angle (congruent)
6x - 20 = 4x + 50
-4x and +20 to both sides of the equation and you end up with:
2x = 70
divide both sides by 2 and:
x = 35
The mall is located 2.4 kilometers north of jays house. The caffe shop is located 0.7 kilometers east of the mall. What is the distance between jays hair and the coffe shop
The distance between Jays hair and the caffe shop is 2.5 km.
Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.
So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.
Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.
So, L = √[(2.4 km)² + (0.7 km)²]
L = √[(5.76 km² + 0.49 km²]
L = √(6.25 km²)
L = 2.5 km
So, the distance between Jays hair and the caffe shop is 2.5 km.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/8171420
The perimeter of a rectangular field is 314 m.
If the width of the field is 72 m, what is its length?
Answer:
85m
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
b=72m, l=?
perimeter =314m
314=2(l+72)
314/2= l+72
157=l+72
l=157-72
l=85m
Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.
Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]
Vertex = (-1, -13)
Step-by-step explanation:
[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]
Vertex = (h, k) = (-1, -13)
help me with this question plz
Answer:
2
Step-by-step explanation:
you tell me true ya false
Anita earns 40 points every time she shops at Brookshire's. She needs a total of 1,500 points to receive a free set of dishes. So far she has earned 300 points. How many more times will Anita need to shop at the grocery store to earn the points she needs to earn the dishes?
a. 1800
b. 30
c. 1200
d. 45
We know that:
1500 - 300 = required points to receive a free set of dishes1 day = 40 points.Now, let's simplify.
=> 1500 - 300 = required points to receive a free set of dishes=> 1200 = required points to receive a free set of dishes=> 1 time = 40 points=> 1 time × 30 = 40 × 30 [30 x 40 = 1200]=> 30 times = 1200 pointsConclusion:Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.
Hoped this helped
[tex]BrainiacUser1357[/tex]
help pls
solve the equation
4 to the power of 3x ÷ 2 to the power of 4x =32
Answer:
x = 5/2
Step-by-step explanation:
(4^3x)/(2^4x) = 32
(2^6x)/(2^4x) = 32
2^2x = 32
2^2x = 2^5
2x = 5
x = 5/2
Question Two :
A discrete random variable X has negative binomial distribution,
with 6 successes required each with probability of success 0.4
Determine the value of ...
a) ...E(X).
b) ... Var( X)
c) ... P ( X = 12).
Using the negative binomial distribution, it is found that:
a) [tex]E(X) = 15[/tex]
b) [tex]Var(X) = 6.67[/tex]
c) [tex]P(X = 12) = 0.0883[/tex]
Negative binomial distribution:
It is the number of trials until q successes of a binomial variable, with p probability of success.
The expected value is:
[tex]E(X) = \frac{q}{p}[/tex]
The variance is:
[tex]Var(X) = \frac{pq}{(1 - p)^2}[/tex]
The probability mass function is:
[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the parameters are: [tex]q = 6, p = 0.4[/tex].
Item a:
[tex]E(X) = \frac{6}{0.4} = 15[/tex]
Item b:
[tex]Var(X) = \frac{6(0.4)}{(1 - 0.4)^2} = 6.67[/tex]
Item c:
[tex]P(X = 12) = C_{17,5}(0.6)^12(0.4)^6 = 0.0883[/tex]
To learn more about the negative binomial distribution, you can take a look at https://brainly.com/question/15246027
19z+12=20z–8
help i dont really understanddd!!!
Answer:
z = 20
Step-by-step explanation:
subtract 19z from 20z, and add 8 to 12. you will be left with 20 = 1z. Divide 1 by 20 and you will have Xz =20.
I hope this helps!
Over the course of 12 hours the temperature changes a tour of -16°C what is the average change in temperature in one hour
Answer:
- 1 1/3 degree
Step-by-step explanation:
- 16 / 12
How do you pass 10th grade geometry
Answer:
Study hard and stay determined
Find simple steps to help you remember and "wrap you head" around it better.
If you ask for help and try your best you should be able to get enough passing grades to pass 10th grade geometry. If I did, that means you can too.
How do you pass any course?
Study and study some more.
There is no easy road to success.
Math is not easy. If math were easy, everybody would get an A. What specific geometry topic are you stuck on? I am not that smart. I passed geometry at FDR HIGH SCHOOL back in the 1980s. We had no internet back then. At least you have YOU TUBE. If I passed, so can you.
1plss help, its time
Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
The answer is 60°
Step-by-step explanation:
Because pentagon JKLMN is basically the same as pentagon VWXYZ and if you see in the smaller pentagon the angle for L is 90° and same goes for the bigger pentagon
The distances between the bull's-eye of a target and 100 darts thrown by an expert
4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator
Answer:
C. A rate with one (1) in the denominator
A unit rate is basically a ratio of something to one.
example:
if 10 bananas costs ten dollars then one banana would cost one dollar.
Step-by-step explanation:
Answer:
A. A rate with one in the numerator
Step-by-step explanation:
We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.