Answer:
[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
hey what's the answer
[tex] - 11a(3a + 2a)[/tex]
[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]
[tex]I \: hope \: it \: will \: help \: you[/tex]
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
solve for x
6x²+2x-12
Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
[tex]2(3x^2+x-6)[/tex] and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
[tex]x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4+288} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{292} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4*73} }{12}[/tex] and
[tex]x=\frac{-2+/-2\sqrt{73} }{12}[/tex] which finally simplifies to
[tex]x=\frac{-1+/-\sqrt{73} }{6}[/tex] No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
Please help me!!
The picture of the question is attached
Answer:
x = 240°, x = 300°
Step-by-step explanation:
Using the identity
sin x = [tex]\frac{1}{cosecx}[/tex] = [tex]\frac{1}{-\frac{2}{\sqrt{3} } }[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60° ← related acute angle
Since sin x < 0 then x is in 3rd / 4th quadrants
x = 180° + 60° = 240°
x = 360° - 60° = 300°
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.
Answer:
ML = √[¼ (EC)²]
Step-by-step explanation:
ML² = ½(QR)²
QR² = ½(EC)²
so, ML² = ¼ (EC)²
=> ML = √[¼ (EC)²]
The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Learn more about parallelogram here:
https://brainly.com/question/970600
#SPJ2
Pilar has a square game board with 25 equal sections. The sections are randomly colored with 4 different colors. There are 5 blue, 5 red, 10 yellow, and 5 green squares. Each player has a chip to toss onto the game board. What is the probability of a player tossing a chip onto a yellow square!
Answer:
The probability is 2/5
Step-by-step explanation:
There are 25 sections on the board
And 10 of those squares are coloured yellow
Therefore;
Probability =
[tex] \frac{10}{25} = \frac{2}{5} [/tex]
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
Which statement is true?
Answer:
I believe it is the 3rd one down
Step-by-step explanation:
Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees
How many roots does this function have in common f(x)=x^2-4x-5
I've never been this confused can someone help? I'll be brainlisting!! it's urgent.
Try this option:
a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87
At 11:30 a.m. the bottle is 1/4 of the way full. At what time will the bottle be 1/2 full?
Answer:
depending how what kind of bottle I think
the dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
Please help me
Answer:
B. 192.5 ft³
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
Answer:
25 times 12
300
divided by 2
150
times 22
3300 cubic ft
I SUCK AT MATH. HELP!!!
Sin P= 2/30
Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)
Sin= O/H
Cos= A/H
Tan= O/A
Find the solution of y = 6x + 1 for x = 5
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
_______
#LetsStudy
Morning Donuts tracked how many of each type of donut were recently sold.
jelly-filled donuts
3
cake donuts
2
cream-filled donuts
5
What is the experimental probability that the next donut sold will be a cake donut?
Write your answer as a fraction or whole number.
P(cake donut) =
Using it's concept, it is found that there is a 20% experimental probability that the next donut sold will be a cake donut.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes is taken from previous trials.
In this problem, we have that from the previous 10 trials, 2 resulted in a cake donut being sold, hence:
P(cake donut) = 2/10 = 0.2 = 20%.
20% experimental probability that the next donut sold will be a cake donut.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 1/5
i did this question before and this was the correct answer
find the value of 3x=1/9
Martha estimated the quotient of −71.81 and −8.02 using rounding to the nearest whole number. 9 StartLongDivisionSymbol 72 EndLongDivisionSymbol minus 72 = a remainder of 0 and quotient of 8. What was Martha's error? She should have rounded the dividend to 70. She should have rounded –8.02 to –8. She should have divided 8 by 72. She did not make an error.
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:
[tex]-71.81 \approx 72[/tex]
[tex]-8.02 \approx 9[/tex]
Her approximation of -8.02 is wrong
Because:
[tex]-8.02 \approx 8[/tex]
Hence (b) is correct
B (she should have rounded –8.02 to –8)
Step-by-step explanation:
Just got it right on e d g e u n i t y 2021!
The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS
Answer:
It will be the 1st one that is The triangles are similar by AA
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Answer:
Step-by-step explanation:
t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
I NEED AN ANSWER RN PLEASE! WILL GOVE BRAINLIEST NEED QUICK!!
If r = "3 and m =
80, what is the value of m - 4r: (r + 1)?
O A. 17
O B. 74
O C. 114
O D. 152
Answer:
I got an answer of 77, so I am assuming it may be the closest option of 74?
Identify the y-intercept of line in the graph?
Answer:
(0,-1)
Step-by-step explanation:
You look at where the line intercepts the y axis, which is at (0,-1)
Answer:
(0,-1)
Step-by-step explanation:
y intercept is the point on the y- axis
The coordinates are (0,-1)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Menza has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Which inequality represents the number of students, s, that can attend the party?
5.5s ≤ 150
5.5s ≤ 350
5.5s ≤ 500
5.5s ≤ 650
Answer:
Step-by-step explanation:
Answer number 6 for me
Answer:
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = [tex]\sqrt{72}[/tex]
c=3[tex]\sqrt{8}[/tex]
c=8.485281374
Step-by-step explanation:
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?
Answer:
30/100×150=
24/5%, that is the answer
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps