The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]
Take antilog, then we have
[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]
Then the value of the x is 2 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
D. 2 and 4
Step-by-step explanation:
Find the median of the following data: 12, 10, 18, 14, 13, 20, 12, 16, 9 [NO LINKS]
The median of this dataset is 13.
Solution:First, list the numbers from least to greatest:9, 10, 12, 12, 13, 14, 16, 18, 20.Now, find the number in the middle:13.Hope it helps.
Do comment if you have any query.
please help me anyone
Answer:
24/40
Step-by-step explanation:
Sine = opposite over hypotenuse
Sine of z = (the side opposite of angle z) / (hypotenuse of the triangle)
Sin z = 24 / 40
help mee!eeeeeeeee please
Answer:
50.24
Step-by-step explanation:
4²=16
16×3.14=50.24
Firstly, we must use the equation to solving a circle which is [tex]A = \pi r^2[/tex]. Since we already know pi (3.14) and the radius (4), we must plug the numbers into the formula. Here is how it should look like with the plug-ins: [tex]A = 3.14 * 4^2[/tex].
Next, we solve the formula. After solving, we get 50.24. The final answer to the problem is 50.24 inches squared.
ou are taking a multiple choice test that has 5 questions. Each of the questions has 5 answer choices, wth one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways cm
ou answer the questions?
ou can answer the questions in ways.
Answer:
it's 1,024
Step-by-step explanation:
4x4x4x4x4
pls help :) determine which function has a greater rate and explain how you know.
function 1: y = 2 • 0.2x
function 2:
x y
0 1
1 0.8
2 0.64
3 0.512
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value, that is, y when x = 0.b is the rate of change, as a decimal.Function 1 is given by:
[tex]y = 2(0.2)^x[/tex]
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
[tex]y = (0.8)^x[/tex]
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at https://brainly.com/question/14398287
Use the long division method to find the result when 4x3 + 11x2 + 30x + 18 is
divided by 4x + 3.
How high will the firework be when it explodes? (Look at Photo)
Answer:
606 feet
Step-by-step explanation:
The fireword has a 5-second fuse, meaning that's how long it will take to explode.
Given the polynomial -16t² + 200t + 6, where t is the time in seconds
We need to subsitute 5 sec. (as stated in the question) for t in the polynomial, to find how high the fireworks will be when it explodes :
-16t² + 200t + 6 <== substitute 5 for t
-16(5)² + 200(5) + 6 <== square the exponent first
-16(25) + 1000 + 6 <== multiply
-400 + 1000 + 6 <== add
-400 + 1006 <== add
606 feet <== final answer
This means that it will be 606 feet high before it explodes.
Hope this helps!
I need help with this it’s about Function 8.F.2
Answer:
43
Step-by-step explanation:
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 8 m and a radius of 6 m The container will be made from steel (including its top and bottom). Suppose the total cost of the steel will be 17,408.16 How much will the steel cost per square meter? Use for 3.14 and do not round your answer.
Step-by-step explanation:
Total surface area of a cylinder =
Area of curved surface (the round body) + area of two circular covers ( the top and bottom cover)
= 2πrh + 2πr²
= 2πr(h+r)
= 2 • 3.14• 6•(8+6)
= 527.52 m²
Cost per m²
= 17,408.16/527.52
= £33
According to this box plot of test scores, the middle 50% of the class scored between what two scores?
options:
96-100
73-96
60-73
85-90
Answer:
I guess it's d not sure tho
Answer:
Im guessing 85-90
Step-by-step explanation:
IT COULD BE WRONG
What is the answer and how to solve?
1)
a) Construire un triangle ABC isocèle en A tel que AB = 5 cm et BC = 2 cm.
b) Placer le point M de [AB] tel que BM = 2 cm.
c) Tracer la parallèle à [BC] passant par M. Elle coupe [AC] en N.
2) Calculer les longueurs MN et AN en justifiant.
3) Montrer que les périmètres du triangle AMN et du quadrilatère BMNC sont égaux.
Answer:
AM/AB = AN/AC = MN/BC
3/5 = MN/2
MN^5 = 2^3
5MN = 6
MN = 5/6 = 1.2cm
AN/AC = MN/BC
AN/5 = 1.2/2
2'AN = 5',1
2AN = 6
AN = 3cm
P AMN=
AM+MN+AN=
3+1,2+3 = 7,20cm
P BMNC=
BM+MN+NC+CB=
2+1,2+2+2=7,20cm
#:]✓
(3x^2-10x+4)+(10x^2-5x+8)
(3x
2
−10x+4)+(10x
2
−5x+8)
Answer:
30x^4-115x^3+127x^2+115x+44
Step-by-step explanation:
This is what I got, let me know if I'm right.
Mr. Hasson is buying barbie dolls and stands for his barbie dolls. Dolls are sold in packs of 10 and stands are sold in packs of 6. What is the least number of dolls and stands he can buy so that there is a doll for every stand?
Answer:
3packs of dolls and 5packs of stands
Step-by-step explanation:
1 pack = 6stands
3packs =3×6
=30 stands
1 pack =10 dolls
3packs =3×10
=30 dolls
What is the solution to 31–3x + 91 = -18?
O x= -5
O x = 5 or x = 1
O x= -5 or x = 1
O no solution
The option will be d) no solution
Please check the attachment for full solution
What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!
Answer:
1764
Step-by-step explanation:
10 x 98 = 980
8 x 98 = 784
980 + 784 = 1764
Answer:
I would choose A) 1764
Step-by-step explanation:
I know this because I used a calculator;)
64x=8
What is the value of x that makes the equation true
Answer:
fraction:
x = [tex]\frac{1}{8}[/tex]
decimal:
x = 0.125
Step-by-step explanation:
64 divided by 8 = 8
[tex]\frac{64}{8}[/tex] = 8
So if youre changing this to multiplication you want to multiply by [tex]\frac{1}{8}[/tex]
[tex]\frac{64}{1}[/tex] * ( [tex]\frac{1}{8}[/tex] )= [tex]\frac{64}{8}[/tex] = [tex]\frac{8}{1}[/tex] = 8
Answer:
fraction:
x = \frac{1}{8}81
decimal:
x = 0.125
Step-by-step explanation:
64 divided by 8 = 8
\frac{64}{8}864 = 8
So if youre changing this to multiplication you want to multiply by \frac{1}{8}81
\frac{64}{1}164 * ( \frac{1}{8}81 )= \frac{64}{8}864 = \frac{8}{1}18 = 8
Compare using >, <, or=.
3 feet
41 inches
Answer:
<
Step-by-step explanation:
1feet=12 inch
so, 3x12=36 inch
this means 41 inch is greater
Find the measurement for x.
Answer:
x=120 degrees
Step-by-step explanation:
All triangle add up to 180 degrees so first you need to finnish the triangle which is 60 degrees. X and 60 degrees is on a straight line which means something + 60= 180.
(180-60=120)
x= 120
La siguiente tabla presenta las frecuencias absolutas y relativas de las distintas caras de un dado cuando se simulan 300 lanzamientos en una página web: Si ahora se simulan 600 lanzamientos en la misma página web, Marcos cree que la frecuencia relativa de la cara con el número 6 será 0,36, porque se simula el doble de los lanzamientos originales. Por otro lado, Camila cree que la frecuencia relativa de la cara número 6 se acercará más al valor 0,166, tal como el resto de las frecuencias relativas de la tabla
La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.
Qué es la frecuencia relativa?La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.
Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.
De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.
Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.
Aprenda más sobre probabilidad en: https://brainly.com/question/16019390
Solve the system.
2x + y = -3
-2y = 6 + 4x
Write each equation in slope-intercept form
Answer:
y=−3−2x
Step-by-step explanation:
y=−2x−3
Answer:
The answer for both is y=-2x-3
Step-by-step explanation:
I hope this helps!
(30 Points) 1. State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a (first picture). Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
2. ⦁ Keeping all other criteria the same, add a child to the family you used in part a to determine the monthly expenses. How does an additional child impact the family budget and hourly wage (second picture)? Which category was least affected by this change? Explain why you think there was little impact to this category.
The minimum monthly income will be $6165 and the hourly wage to cover the expenses will be $8.5625.
How to calculate the income?From the information given, the minimum monthly income will be $6165 since that's needed to cover the expense.
Also, the hourly income will be:
= 6165/(24 × 30)
= 6165/720
= 8.5625
The hourly income will be $8.5625.
Learn more about income on:
https://brainly.com/question/25745683
You start at (6, 7). You move right 3 units and left 3 units. Where do you end?
Answer: (6,7)
Step-by-step explanation: (6,7) because if you move right 3 and then move back 3, you end up where you started. So it's the number you started with. (6,7)
if x=-1 and y=2 is the solution of the simultaneous equations .
ax-by=1
ay+bx=-7
Answer:ax-by=1
Step-by-step explanation:
Landon Wallin is an auto mechanic who wishes to start his own business. He will need $4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60-month fixed installment loan with an APR of 6%.
a) Determine Landon's finance charge.
b) Determine Landon's monthly payment.
Answer:
a.$1230
b.$20.50
Step-by-step explanation:
Assuming Landon only makes the minimum payments for the sixty months this is how you would find it
Multiply loan by percentage over the five years: 4100 x .3 = 1230
Then divide that amount by months paid: 1230/60= 20.5
Please Answer :D
Find the Distance around the figure
Will mark brainliest to the correct person!
Answer:
30.84 in
Step-by-step explanation:
First we find the circumference, which is d(pi), 12(3.14) which = 37.68. Then since the circle is a semicircle, we divide 37.68 by 2=18.84 in. Then we have to add 12 since the circle is cut in half, so add 12 to get 30.84.
Is this relation a function? Justify your answer.
O A. No, because two points with the same yvalue have different x-
values
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x and y value is positive.
D. No hecause two noints with the same x-valle have different
Answer:
The answer is A
Step-by-step explanation:
Because its not a function.
HELP ANSWER QUICK <3
Answer:
7.5 or 7 1/2yards
Step-by-step explanation:
I believe that this is a simple 2.5*3 equation making the answer 7.5, because she has 3 sisters and you can guess that it is a blanket per sister, which makes it 3 blankets and each blanket is 2.5 yards so you multiply the two to see how much material you need.
Answer:
The answer is 7.5
Step-by-step explanation:
Multiply the 2.5 times 3 and you get 7.5
hope this helps <3
A large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and height of 3',
and the other with a right triangle with a hypotenuse of 5' and a side of 3'. What is the probability of
throwing a drop of paint into one of the triangles?
The probability of throwing a drop of paint into one of the triangles is 3.96% if a large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Total area of the canvas = 9' x 21' = 189 square units
This area is representing the total outcome = 189
Total favorable outcome = area of first triangle + area of the second
triangle
Area of the first triangle = (1/2)(1x3) = 3/2 square units
From the Pythagoras theorem:
Height = √(5² - 3²) = 4'
Area of the second triangle = (1/2)(3x4) = 6 square units
Total favourable outcome = 3/2 + 6 = 15/2
Now the probability:
[tex]= \frac{\frac{15}{2} }{189}[/tex]
= 15/378
= 0.0396×100
= 3.96%
Thus, the probability of throwing a drop of paint into one of the triangles is 3.96% if a large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'
Learn more about the probability here:
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#SPJ1
the price of an x box reduced from $50 to $40. what percentage was the price reduced
Answer:
20% is taken away from 50 to get 40