Answer:
[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]
Taking logs of both sides:
[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]
Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :
[tex]\implies 4x\log(8)=\log(75.2)[/tex]
Solving for x:
[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]
what is 74 divided by 27
Answer:
2.740 repeated sign over 740 (just a line)
Step-by-step explanation:
divide on sheet paper
1. Some jobs pay a commission plus bonus at the end of the year. The bonus may
be a percent of the
7% commission on all sales. At the end salesperson's total commission. Madelyn is a of the year, she receives a bonus sales representative for a luxury home builder. She receives of 5% of her total commissions for
the year. What is Madelyn's gross pay for a
year in which she had sales totaling $412,454?
Answer:
so let's start
Step-by-step explanation:
[tex]total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks[/tex]
Assume that a postal code consists of 6 characters. Each character can be any letter from A to Z or any numeral from 0 to 9. How many postal codes are possible in this situation?
Answer:
[tex]36^6[/tex] postcodes
Step-by-step explanation:
Think of the post code as a combination lock
[?] [?] [?] [?] [?] [?]
If letters a numbers are allowed, each character can be A-Z and 0-9.
There are 26 letters, and 10 different digits
26 + 10 = 36 characters
Each block (I illustrated above) can be any of the 36 characters
If you have 2 blocks, you have a combination of
36 x 36 characters — which is the same as [tex]36^2[/tex]
With 3 blocks: [tex]36^3[/tex]
and so forth...
If your post code is made of 6 'blocks' it can be any combination of
[tex]36^6[/tex]
Your birds drink 8 1/3 ounces of water a day. How many ounces of water do they drink in 6 days?
50 ounces
hope it helps...!!!
Does the ordered pair (2,1) satisfy the following system of equations?
To determine the whether the ordered pair satisfies the equation:
⇒ we must plug in the values
⇒ since coordinates are (x,y) ⇒ (2,1)
⇒ there we must plug 2 into the 'x' position in the equation
⇒ and 1 into the 'y' position in the equation
Let's try the first equation:
[tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]
Ordered pair satisfies first equationLet's try the second equation
[tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]
Ordered pair satisfies second equationThus ordered pair satisfies the following system of equations
Answer: Yes
Hope that helps!
What is the volume of a triangular pyramid, with a base area of 12 square centimeters and height of 8 centimeters? Enter your answer in the box.
________ cm³
???
Step-by-step explanation:
To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,
Volume of pyramid given by:-
V = 1/3*bh
V = 1/3*12*8
V = 4*8
V = 32cm³
Hence the volume of triangular pyramid is 32cm³
Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Area:
Circumference:
AaaaAAAAA HELP THIS IS TIMED
Answer:
2
Step-by-step explanation:
After placing the 2 as the coefficient all of the atoms for their respective elements will be balanced.
OLZ HELP ILL MARK AS BRAINLEST
find the slope
Answer:
2/3
Step-by-step explanation:
slope formula : ( y2 - y1 ) / ( x2 - x1 ) where the x and y values are derived from points on the line
the two points can vary but i have chosen (0,0) and (3,2)
(x1,y1) = (0,0) so x1 = 0 and y1 = 0
(x2,y2) = (3,2) so x2 = 3 and y2 = 2
recall that slope = ( y2 - y1 ) / ( x2 - x1 )
plug in x1 = 0, y1 = 0, x2 = 2 and y2 = 3
slope = ( 2 - 0 ) / ( 3 - 0 )
slope = 2 / 3
NO LINKS!! Please help me
GHIJK ≅ UVWST
===============
Given for 1st shape:
GK = 16KJ = 16IJ = 24IH = 16GH = 24Given for 2nd shape:
WS = 18===================
WS ≅ IJ
Solve for UV:
[tex]\rightarrow \sf \dfrac{UV}{WS} =\dfrac{GH}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{UV}{18} =\dfrac{24}{24}[/tex]
[tex]\rightarrow \sf UV =18[/tex]
Solve for ST
[tex]\rightarrow \sf \dfrac{ST}{WS} =\dfrac{JK}{IJ}[/tex]
[tex]\rightarrow \sf \dfrac{ST}{18} =\dfrac{16}{24}[/tex]
[tex]\rightarrow \sf ST = 12[/tex]
Solve for VW
[tex]\sf \rightarrow \dfrac{VW}{WS} = \dfrac{HI}{IJ}[/tex]
[tex]\sf \rightarrow \dfrac{VW}{18} = \dfrac{16}{24}[/tex]
[tex]\sf \rightarrow VW = 12[/tex]
Let's see
WS/UV=GH/IJ18/UV=24/2418/UV=1UV=18#ST
WS/ST=IJ/JK18/ST=24/1618/ST=3/23ST=36ST=12#VW
WS/VW=IJ/IH18/VW=24/16VW=12A triangle has sides with lengths of 15 meters, 36 meters, and 39 meters. Is it a right triangle?
Answer:
no it is not
Step-by-step explanation:
No. Because right angled triangles all sides are equal.
13-28 Sketch the region enclosed by the given curves and find its area.
21. [tex]y=\cos x, \quad y=1-2 x / \pi[/tex]
Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
Please help!!!!
[tex](\pi \sqrt 81 \frac{\sqrt[3]{8}}{2} ) / 3\pi = ???[/tex]
Step-by-step explanation:
[tex](9\pi \frac{2}{2} )\div 3\pi \\ [/tex]
[tex] \frac{9\pi}{3\pi} \\ [/tex]
[tex]3\pi[/tex]
3π is the answer
2)
Solve the equation and enter the solution in the box below.
x + 19 = 13
Answer
X =
HINT
SUBMIT
3)
Solve the equation and enter the solution in the box below.
Answer:
[tex]\longrightarrow: \boxed{\sf{x=-6}}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
x+19=13First, you subtract by 19 from both sides.
⇒ x+19-19=13-19
Solve.
Add/subtract the numbers from left to right.
⇒ 13-19=-6
⇒ x=-6
Therefore, the solution is x=-6, which is our answer.
I hope this helps! Let me know if you have any questions.
Answer:
x = -6Step-by-step explanation:
In the question we're given with an equation that is x + 19 = 13 and we have asked to find the solution of equation that means we have to find the value of x .
Solution :
[tex] \longmapsto \: x + 19 = 13[/tex]
Subtracting 19 on both sides :
[tex] \longmapsto \: x + \cancel{19} - \cancel{19 }= 13 - 19[/tex]
On further calculations we get :
[tex] \longmapsto \: \blue{ \boxed{x = - 6}}[/tex]
Therefore, value of x is -6 orwe can say that solution of the given equation is -6 .Verifying :
We are verifying our answer by substituting value of x in the given equation .
x + 19 = 13-6 + 19 = 1313 = 13L.H.S = R.H.SHence, Verified.Therefore our value for x is correct .
#Keep Learning126 is 60% of what number
Answer:
210
Step-by-step explanation:
126 is 60% of What Number? - 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126.
Formula = Number x 100
Percent = 126 x 100
60 = 210
Following shows the steps on how to derive this formula and find out 60% of what number is 126.
Step 1: If 60% of a number is 126, then what is 100% of that number? Setup the equation.
126
60% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
60Y = 126 x 100
60Y = 12600
Y = 12600
100 = 210
What is 126 % of 60 ? = 210
Answer: …
Step-by-step explanation:
Well, 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126
12 ft
Physics The equation d = 1/2at2 gives the distance d an object starting at rest
travels given acceleration a and time t.
Suppose a ball rolls down the ramp shown at
the right with acceleration a = 2 ft/s2. Find
the time it will take to roll from the top of the
ramp to the bottom. Round to the nearest tenth of a second.
The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.
What is the equation of motion?The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.
The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,
[tex]d = \dfrac{1}{2}at^2[/tex]
Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,
[tex]a=2\rm\; ft/s^2\\d=12\rm\; feet[/tex]
Put the values in the above equation,
[tex]d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s[/tex]
Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.
Learn more about the equation of motion here;
https://brainly.com/question/13763238
#SPJ1
If A = -n + 5n^2 +9 and B = 3 - n, find an expression that equals 2A - 3B
in standard form.
Answer:
10n² + 3n + 7
Step-by-step explanation:
2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)
= -2 + 10n² + 18 - (9 - 3n)
= 10n² + 16 -9 + 3n
= 10n² + 3n +7
please answer this question
Let p(t) be the number attendees and t be the ticket price measured in units of 10s of rupees. When the price is t = 7 (i.e. Rs70), there were p(7) = 300 people in attendance.
For each unit increase in t (i.e. for each Rs10 increase in price), p(t) is expected to fall by 20, so that
p(t + 1) = p(t) - 20
Solve for p(t). Suppose t ≥ 7. By substitution,
p(t + 1) = (p(t - 1) - 20) - 20 = p(t - 1) - 2×20
p(t + 1) = (p(t - 2) - 20) - 2×20 = p(t - 2) - 3×20
p(t + 1) = (p(t - 3) - 20) - 3×20 = p(t - 3) - 4×20
and so on, down to
p(t + 1) = p(7) - (t - 6)×20 = 420 - 20t
or
p(t) = 420 - 20 (t - 1) = 440 - 20t
With t = price per ticket (Rs/ticket) and p(t) = number of attendees = number of tickets sold, it follows that the income made from ticket sales for some fixed ticket price t would be t×p(t). If one plots p(t) in the coordinate plane, the price that maximizes income and number of attendees is such that the area of a rectangle inscribed by the line p(t) and the coordinate axes is maximized.
Let A(t) be the area of this rectangle, so
A(t) = t p(t) = 440t - 20t²
Without using calculus, complete the square:
A(t) = 440t - 20t² = 2420 - 20 (t - 11)²
This is the equation of a parabola with vertex at (11, 2420), so the optiml ticket price is Rs11, and at this price the drama club can expect an income of Rs2420.
With calculus, differentiate A with respect to t and find the critical points:
A'(t) = 440 - 40t = 0 ⇒ 11 - t = 0 ⇒ t = 11
Differentiate A again and check the sign of the second derivative at this critical point:
A''(t) = -40 ⇒ A''(11) = -40 < 0
which indicates a local maximum at t = 11 of A(11) = 2420.
Which shape has the greatest volume
Hey mate ,
In this particular question we have to find the volume of given objects and compare to find which has the greatest volume.
Lets Solve ,
Cone =Volume of cone :- 1/3πr²h
putting the known values ,
Volume = 1/3×3.14×5²×7 cubic ft.
Volume :- 183.1 cubic ft.
SphereVolume of Sphere = 4/3πr³
putting the known values ,
Volume = 4/3×3.14×5³ cubic ft.
Volume = 523.33 cubic ft.
CylinderVolume of Cylinder = πr²h
putting the known values ,
Volume = 3.14×5²×7 cubic ft.
Volume = 549.5 cubic ft.
HemisphereVolume of hemisphere = 2/3πr³
Putting the known values ,
Volume = 2/3×3.14×5³ cubic ft
Volume = 261.66 cubic ft.
Comparing the volume of each object , we can find that the Cylinder has the greatest volume
Determine the whole number of standard deviations that includes all data values. The mean price of the nonfiction books on a best-sellers list is $ 22.58 ; the standard deviation is $ 3.00 .
$ 22.95, $ 18.00, $ 21.00, $ 21.00, $ 22.00, $ 25.00, $ 29.95, $ 22.00, $ 22.95, $ 20.95
All of the values fall within____standard deviation(s) of the mean.
Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.
What is the z-score formula?The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.
In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.95 - 22.58}{3}[/tex]
Z = 2.46.
Hence, all of the values fall within 2.46 standard deviations of the mean.
More can be learned about z-scores at https://brainly.com/question/24663213
What is the prime factorization of 60?
Answer:
2*2*3*5
Step-by-step explanation:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.
Nyasha’s financial literacy project involved comparing the annual sales
The value of the statistic for the annual sales in Canadian dollars; C) The standardized score of the minimum annual sales
What is standardized scores?
Standardized scores are defined as scores or data values that have been given a common standard. This standard is a mean of zero and a standard deviation of 1.
Now, in this question the literacy project involved comparing the annual sales of companies. Thus, the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars is the standardized score of the minimum annual sales.
The complete question is; Nyasha's financial literacy project involved comparing the annual sales of companies in Canada and companies in the US that produce software. Using the ratio of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?
Read more about Standardized Scores at; https://brainly.com/question/4079902
#SPJ1
The graph of an exponential function is shown. Based on this graph, which statement about the function is true? A) The range is the set of all real numbers less than –3. B) The domain is the set of all real numbers less than –3. C) The range is the set of all real numbers greater than –4. D) The domain is the set of all real numbers greater than –4.
Answer:
C) The range is the set of all real numbers greater than –4.
Step-by-step explanation:
Domain
x > -3Range
y > -4The correct statement is C, which states : the range is the set of all real numbers greater than -4.
Zach has an apple tree in his yard. On Monday, he picked 12 apples and gave 4 of them to his neighbor. On Tuesday, he picked 18 more apples and gave 6 to his cousin. On Wednesday, he
picked 14 more and gave 20 apples to his mother. How many apples does Zach have left?
Answer:
Zach has 14 apples left.
Step-by-step explanation:
This equation is 12 - 4 + 18 - 6 + 14 - 20.
8 + 12 + 14 - 20
20 + 14 - 20
14
A baker has 14 boxes of muffins to fill. Each box has 12 muffins. He has already boxes 45 muffins. How many more muffins does the baker need to box
Answer:
123 more muffins
Step-by-step explanation:
To find out how many to box in total you would do 14 x 12 = 168
168 - 45 = 123
Since 45 were already boxed, 123 more would be needed to make 14 boxes.
If 60 is increased by 90%, what is the new amount?
Answer:
114
Step-by-step explanation:
1.14 x 10²
pls mark me as brailiest if it is correct and learn well
The sum of two numbers is 144 and their difference is 73. Find the smallest number. Use two exact decimals.
Answer:
30.5
Step-by-step explanation:
Let L = the larger number
Let S = the smaller number
L + S = 144
L - S = 73
L = S + 73
S + S + 73 = 144
2S = 71
S = 30.5
Solve, using the correct order of
operations, when x = 7 and y = 3
(x – 3) + 2y
Answer:
10
Step-by-step explanation:
Since it given that:
x = 7 and y = 3
We can substitute x and y:
(7-3) + 2(3)
7 - 3 = 4
4 + 2(3)
2(3) = 6
4 + 6 =10
Thus the answer is 10.
[RevyBreeze]
Answer:
[tex]10[/tex]
Step-by-step explanation:
Sorry for messing it up last time. The format can be really weird
Step 1: Input x and y and solve
[tex](x - 3) + 2y[/tex]
[tex](7 - 3) + 2 * 3[/tex]
[tex]4 + 6[/tex]
[tex]10[/tex]
Answer: [tex]10[/tex]
A survey of students at an elementary school was taken
It was determined that 3/8 of the students identified blue as their favorite color.
Of this group. 1/5 of them wore glasses
If there are 33 students who wear glasses that identiñed blue as their favorite color, how many students are there in the school?
Using proportions, it is found that there are 165 students in the school.
What is a proportion?A proportion is a fraction of a total amount.
In the school, there are n students. Of those 1/5 of 3/8, that is, 3/15 wear glasses and identified blue as their favorite color. This amount is equivalent to 33 students, hence:
3/15n = 33
n = 33 x 15/3
n = 11 x 15
n = 165.
There are 165 students in the school.
More can be learned about proportions at https://brainly.com/question/24372153
Find the area
(Image attached)
Answer:58.8
Step-by-step explanation:
A=L*W
6*9.8=58.8