Answers
Answer:
[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]
Answer:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]
Decimal:
[tex]x = 2.66666...[/tex]
Step-by-step explanation:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]
Add [tex]log _2\left(3)[/tex] to both sides:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]
Simplify:
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]
Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]
[tex]9x=2^{3+\log _2\left(3\right)}[/tex]
Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]
[tex]9x=24[/tex]
Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]
[tex]x = \frac{8}{3}[/tex]
Verify solutions: [tex]x = \frac{8}{3}[/tex] : True
The solution is:
[tex]x=\frac{8}{3}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Related Questions
Find the equation of the line shown.
у.
10
9
8
7
6
5
4
3
2
1
О
Х
1 2 3 4 5 6 7 8 9 10
Answers
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
The equation of the line is [tex]y = 2 x[/tex]
From the graph, we have the following ordered pairs
(0,0) and (5,10)
The equation of the line is calculated using
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} \times (x -x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{10 - 0}{5 - 0} \times (x -0) + 0[/tex]
[tex]y = \frac{10}{5} \times (x -0)[/tex]
[tex]y = 2 \times x[/tex]
Evaluate the product
[tex]y = 2 x[/tex]
Hence, the equation of the line is [tex]y = 2 x[/tex]
Read more about linear equations at:
https://brainly.com/question/1884491
Kamil is saving up to buy a model of Big Ben costing £30 when he visits London. So far he has saved €15.00. How much more money does he need to save? (Show your answer in € and in £).
Answers
Answer:
€18.40 or £16.53.
Step-by-step explanation:
Kamil is saving up to buy a model of Big Ben costing £30 when he visits London.
He has saved €15.00.
First, we have to convert his savings to Pounds(£) and then, subtract that from the amount he needs.
€1 = £0.90
€15 = 15 * 0.9 = £13.47
So, Kamil has saved £13.47.
Therefore, the amount he has left to save is:
£30 - £13.47 = £16.53
To find this amount in Euros, we convert it to Euros:
£1 = €1.11
16.53 = 16.53 * 1.11 = €18.40
He has to save €18.40 or £16.53.
Answer:
€18.3 or £16.49
Step-by-step explanation:
Kamil needs to save £30 to buy Big Ben. Current rate of conversion from pound to euro is £1 = €1.11. If the money is converted from pound to euro, you multiply it by 1.11.
Therefore £30 = € (30 * 1.11) = €33.3
If he has saved €15 he needs to save an extra of €(33.3 - 15) = €18.3
He needs to save €18.3
€18.3 to pound using the Current rate of conversion from euro to pound = £(18.3/1.11) = £16.49
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
Answers
Answer:
C=2v
Step-by-step explanation:
because 0*2=0 1*2=2 2*2=4 3*2=6 4*2=8 5*2=10 so C=2v
Find the area in both questions if possible
High school geometry
Answers
Answer:
Step-by-step explanation:
a 141.61
b 8.64
c
Im bored
Molly works at an electronics store. Her last customer purchased a DVD player for $61.29 and five DVDs for $59.31, including taxes. If the customer paid her with two \$100 bills, how much change should she give him?
Answers
Answer:
$79.4
Step-by-step explanation:
Add up both of the prices.
61.29 + 59.31 = 120.6
Subtract that from the 200.
200 - 120.6 = 79.4
A motorist travels between two towns. It usually takes 6 hours when travelling at a certain speed. He finds that if he reduces his speed by 15 km/hr his journey will take 1 hour more. Find his usual speed.
Answers
Answer:
His usual speed is 105 km/hr.
Step-by-step explanation:
Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:
s = d/6
s - 15 = d / (6 + 1)
from the first equation:
d = 6s and from the second:
d = 7(s - 15)
Eliminating d we get:
6s = 7(s - 15)
7s - 105 = 6s
s = 105.
A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Answers
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
The nth term of a sequence is 8(n+3)
what is the 30th term?
what is the nth term for this sequence?
Answers
Answer:
30th term: 364
nth term: 8(n + 3)
Step-by-step explanation:
Well the 30th term is 8(30 + 3) because you gotta plug it in.
You get 8 * 33 = 264
nth term is what they gave you. 8(n + 3)
Answer:
30th term: 364
nth term: 8(n + 3)
Step-by-step explanation:
Well the 30th term is 8(30 + 3) because you gotta plug it in.
You get 8 * 33 = 264
nth term is what they gave you. 8(n + 3)
plssss answer
Which of the following situation can be modeled by circumference of a circle? *
A. Amount of paint needed to paint a circular auditorium ceiling.
B. Size of table cloth required by a circular table
C. Amount needed to fence around a circular garden
D. An amount of water circular swimming pool holds
Answers
Answer:
C. Amount needed to fence around a circular garden
Step-by-step explanation:
The Circumference of a circle can be referred to as the length of the circle. It also called the perimeter of a circle.
The circumference of a circle can be defined as the distance roundabout a circle.
The circumference of a circle is calculated mathematically as:
a) 2πr or
b) πD
Where r = radius of the circle.
D = Diameter of the circle
From the above question, the situation can be modeled by circumference of a circle based on the definition that the circumference of a circle is the distance around a circle is Option C. "Amount needed to fence around a circular garden"
if the train went 390 miles in 3 hours, what was the speed in miles per hour
Answers
Answer:
Speed = 130 mph
Step-by-step explanation:
Distance travelled = 390 miles
Time taken = 3 hours
[tex]Speed = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ 390 }{ 3 }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 130 \: mph (miles \: per \: hour)[/tex]
Asa is supposed to floss his teeth using 18" of floss daily. He began a new roll 50' on March 17th. If he still has 2 feet of floss left after flossing on August 2nd, how many days has he forgotten to floss?
Answers
Answer:
Asa forgot to floss for 106 days.
Step-by-step explanation:
First of all, we will start by writing out the details we are given clearly.
Length of floss used per day = 18 inches
Original length of floss bought for use = 50 ft = 600 inches
Number of days between March 17th and August 2nd = 138 days
Length of floss left after August 2nd = 2 feet = 24 inches
From this, we can clearly calculate the length of floss used.
This will be original floss length - length of floss remaining = 600 - 24 = 576 inches
Length of floss used = 576 inches
If Asa used 18 inches per day, we can find the number of days he flossed by dividing the length used in total by the length used per day.
That will be 576/18 = 32 days
if Asa flossed for only 32 days, the number of days he didn't floss is 138 - 32 =106 days
Hence, Asa didn't floss for 106 days.
y = 2 and 7x - 3y = -34
Answers
Answer:
7x - 3y = -34
7x - 3(2) = -34
7x - 6 = -34
7x - 6 + 6 = -34 + 6
7x = -28
7x/7 = -28/7
x = -4
7(-4) - 3y = -34
-28 - 3y = -34
-28 + 28 - 3y = -34 + 28
-3y = -6
-3y/-3 = -6/-3
y = 2
(-4, 2)
Step-by-step explanation:
x+2y=-8 find the slope
Answers
Answer:
Slope = -1.000/2.000 = -0.500
x-intercept = -8/1 = -8.00000
y-intercept = -8/2 = -4
Step-by-step explanation:
Step 1 :
Equation of a Straight Line
Graph of a Straight Line
Calculate the Y-Intercept
Calculate the Slope
Calculate the X-Intercept
Answer: Slope = -1.000/2.000 = -0.500
Hope this helps.
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 8 ( subtract x from both sides )
2y = - x - 8 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 4 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
please help!!!! I will follow him/her
Answers
Answer:
a. 18.6%
b. 598,230
Step-by-step explanation:
Fill in the blank
The equation *blank* describes the relationship
(simplify your answer)
Answers
Answer:
y = 1.5x
Step-by-step explanation:
in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x
Brainliest question please help me now plz
Answers
Answer:
5/12
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side, and in this case that would be 5 / 12. Hope this helps!
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \because \tan (\beta) = \frac{AC}{BC} \\\\
\huge\purple {\boxed {\therefore \tan (\beta) = \frac{5}{12}}} [/tex]
What is the area of the triangle?
Answers
Answer:
16
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (4)*8
A = 16
Answer:
The area of the triangle is 16 cubic units
Step-by-step explanation:
The formula for the area of a triangle is like the same as a rectangle, just in half. So, by doing 8x4, you get 32. Divide 32 by 2 to get 16.
Debra works as a tutor and as a waitress for $11 an hour. THIS MONTH, she worked a combined total of 97 hours at her two jobs. Let t be the number of hours Debra worked as a tutor this month. WRITE AN EXPRESSION FOR THE COMBINED TOTAL DOLLAR AMOUNT SHE EARNED THIS MONTH.
Answers
Answer:
(x -11) * t + 1067
Step-by-step explanation:
We know that in her tutoring job she earns x amount of money and how waitress earns $ 11 / hour.
They give us the combined number of hours that he works with all the jobs, which is 97, but from here we can say that in the time that he does NOT work as a tutor it is actually 97 - t.
Total earned this month = x * t + 11 * (97 -t)
Total earned this month = x * t + 1067 - 11 * t = (x -11) * t + 1067
In a certain Algebra 2 class of 29 students, 18 of them play basketball and 5 of
them play baseball. There are 9 students who play neither sport. What is the
probability that a student chosen randomly from the class plays basketball or
baseball?
Answers
Answer:
20/29
Step-by-step explanation:
SEARCHED IT UP
a metallic sphere of radius 10 .5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm the number of such cone is
Answers
Answer:
1=1+2
Step-by-step explanation:
2+2+3+7\
Answer:
Step-by-step explanation:
Number of cones = Volume of Sphere/Volume of one cone
Volume of sphere = (4/3)πr³
[tex]=\frac{4}{3}\pi *10.5*10.5*10.5\\\\=4*\pi *3.5*10.5*10.5\\\\=1543.5\pi cubic cm[/tex]
Volume of cone= (1/3)πr²h
[tex]=\frac{1}{3}*\pi *3.5*3.5*3\\\\=\pi *3.5*3.5\\\\=12.25\pi cubic cm[/tex]
Number of cones = 1543.5π / 12.25π
= 126 cones
Parallelogram F C D E is shown. Sides D C and F E are parallel, and sides F C and E D are parallel. The length of C D is 4 r + 19, the length of D E is 8 r + 3, and the length of F C is 9 r minus 6.
What is the value of r?
What is the length of segment EF?
units
Answers
Answer:
r=9
ef=55
Step-by-step explanation:
The value of r in the given parallelogram is 9 and the length of EF is 55 units.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, in a parallelogram FCDE sides DC and FE are parallel, and sides FC and ED are parallel. The length of CD is 4r + 19, the length of DE is 8r + 3, and the length of FC is 9r - 6.
Since, we know that,
Opposite side of a parallelogram are parallel and equal, therefore,
FC = DE and DC = FE
Therefore,
8r+3 = 9r-6
r = 9
Therefore,
FE = DC = 4r+19
= 36+19
= 55
Hence, the value of r in the given parallelogram is 9 and the length of EF is 55 units.
Learn more about parallelogram, click;
https://brainly.com/question/29147156
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Need help on this right here
Answers
Answer: 1. is c and 2.a
Step-by-step explanation:
Answer:
1. d
2.a
Step-by-step explanation:
1. linear equation should be written in a form of f(x) = a + bx.
Brainliest!!!!!
There are different ways to think about 2 2/3−2 1/3
Select three ways to find 2 2/3−2 1/3
Answers
Answer: 3/ 4
Step-by-step explanation:
Joe bought an apple tree that was 48 inches in height. He noticed that this tree grew approximately 4 inches in height each year.
Which statement best describes the function that could be used to model the height of the apple tree, h(t), as a function of time, t, in years.
~The height of the apple tree can be represented by a linear function, and the variable t is an exponent in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by a linear function, and the variable t is multiplied by 4 in the equation representing the function.
~The height of the apple tree can be represented by an exponential function, and the variable t is an exponent in the equation representing the function.
Answers
Answer:
Step-by-step explanation:
8
Which is the least metric mass?
0.0019 kg
0.19 g
190 cg
1900 mg
Answers
Answer:0.0019g
Step-by-step explanation:
asapppp help me someone please
Answers
Answer:
3/5
Step-by-step explanation:
P ( walks or takes the bus) = walks or takes the bus/ total
walks = 10
takes the bus = 25+ 20+5 = 50
There is no overlap
P ( walks or takes the bus) = walks or takes the bus/ total
= (10+ 50)/ 100
= 60/100
=3/5
Answer:3/5
Step-by-step explanation:
Just put the answer in and it’s right
In ΔVWX, the measure of ∠X=90°, VW = 72 feet, and XV = 27 feet. Find the measure of ∠W to the nearest degree.
Answers
Answer:
B
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Write your question here (Keep it simple and clear to get the best answer)side of a triangle are in the ratio6:8:18.If the primeter of the triangle is 288 find the longest and shortest side difference between the longest and shortest side
Answers
Answer:
The longest side is side of 18 (153.6cm)
The shortest side is side of 6(57.6cm)
Step-by-step explanation:
Kindly check attached picture for explanation
Please help quick!!!!
Estimate by clustering: 56.9, 63.2, 59.3, 61.1
Answers
Which table represents a linear function?
Plz answer quickly!!! Thank you! :)
Answers
Answer:
The first one
Step-by-step explanation:
You can see the pattern