Answer:
x1= 100 x2=99.999
Step-by-step explanation:
\(x^{0.5\log _{10}\left(x\right)}=0.01x^2\)
\(0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)\)
u=log(x)
\(0.5uu=\log _{10}\left(0.01\right)+2u\)
\(u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}\)
\(x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}\)
how can you remember slope? in a creative way
Answer:
Step-by-step explanation:
dont have a creative way but i just remember rise over run or \(\frac{rise}{run}\)
hope this helps <3
Answer:
Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844) who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888) who wrote it as "y = mx + c".
Step-by-step explanation:
hope this helpes, i didn't really know how to answer.
3x2 + 5x-9 = 0
Quadratic formula
A=
B=
C=
Answer:
the answer are
a = 3, b
= 5 and
c = -9
Answer:
The answer is in the photo below! :D
Step-by-step explanation:
Hope this helped!
-LEI
The gateway arch in st. Louis, mo is approximately 630 ft tall. How many u. S. Nickels would be in a stack of the same height? each nickel is 1. 95 mm thick.
The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.
Height of Gateway Arch in St. Louis, MO = 630ft tall
We are asked, how many nickels would be in a stack of the same
height when 1 nickel is 1.95 mm thick.
Convert height in ft to mm
1 ft = 304.8 mm
630ft = X
After Cross Multiply,
630ft × 304.8mm/1ft
= 192024 mm.
To find how many nickel would be in a stack of the same height
= Total thickness/ Thickness of 1 US dime
= 192024 mm/1.95mm
= 98473.8
≈98474 nickels
Therefore, the number of nickel that would be in a stack of the same height is 98474.
Learn more about Height problem:
https://brainly.com/question/17438476
#SPJ4
Please answer 1 - 3, Thank you!
Answer:
The area of the wall is 25ft
Step-by-step explanation:
Ethan school has sports field with an area of 6450.35 yd.² if the length of the field is 90.85 yards what is the white of this field
Answer:
71
Step-by-step explanation:
Is (-2, 1) a solution of the following system of equations?
2x + y = -3
y = 2x + 5
A) yes
B
no
Answer: A; Yes
Step-by-step explanation:
Plug in the ordered pair into the equation: 2(-2) + (1) = -3
Solve: -4 + 1 = -3
-3 = 3 ; (-2, 1) is a solution for 2x + y = -3
Now, repeat the same process for the second equation:
(1) = 2(-2) + 5
1 = -4 + 5
1 = 1 ; (-2, 1) is a solution for y = 2x + 5
What would it mean for an object to be dilated with a scale factor of K 0?
When the scale factor k = 0, then the dilation is in a reduction.
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A description of a dilation includes the scale factor (or ratio) and the center of the dilation.
• If the scale factor is between 0 and 1, the image is a reduction,
Hence, if the scale factor k = 0, then the dilation is in a reduction.
To learn more about dilation, visit:
brainly.com/question/11914738
#SPJ4
Solve the following equations for x :
g = c - x
Answer:
\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)
\(g = c - x \\ c - x = g \\ - x = g - c \\ x = - g - c\)
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)
solution for -2 1/3 divided by 4 2/3
Answer:
-0.5
Step-by-step explanation:
1. Find the area: 26 cm 39 cm
I need help
Answer:
507
Step-by-step explanation:
26 x 39 = 1014
/2
507
is 89.396668... a rational number
Answer: yes it is rational
Step-by-step explanation:
Answer: 89.396668... is a rational number
Step-by-step explanation:
Can someone please help me answer this,
2612 divided by 18
Please, it would be a huge help!
Answer:
326.5
Step-by-step explanation:
a square pyramid has an area of 900 square meters and a height of 40 meters. please help me find the volume.
volume of a pyramid: V =
1 (where ''B'' is the area of the pyramid's base)
--- BH
3
Answer:
A=12,000 m^3
Step-by-step explanation:
First, here is the area of the pyramid.
A= 1/3 Bh
Now, let's define our variables.
B= 900 m^2
h= 40 m
We will plug them into the equation.
A= 1/3 (900)(40)
I will simplify by dividing 900/3 to get rid of the fraction.
A= 300(40)
A=12,000
Hope this helps!
find two unit vectors that make an angle of 60° with v = 8, 6
The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Given that, Angle = 60°, v = 8, 6
Consider unit vector a = (x, y)
x² + y² = 1 …. (1)
Now apply the dot product of unit vector with v
a.v = |a||v|cos Ø
a.v = √ (x² + y²) √ (8² + 6²) cos 60º
8x + 6y = 1 × 10 × ½
So we get,
8x + 6y = 5 …. (2)
y = (5 - 8x) / 6
Substituting the value of y in equation (1)
x² + y² = 1
x² + [(5 - 8x)/6]² = 1
x² + 25/36 + 16x²/9 - 20x/9 = 1
25x²/9 - 20x/9 = 11/36
So we get,
4 × (25x² - 20x) = 11
100x² - 80x = 11
100x² - 80x - 11 = 0
Now solve the quadratic equation,
x = { 2/5 ± √5/10}
Substituting the value of x in equation (2)
y = 3/10 ± 2√5/15
Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Learn more about unit vectors click;
https://brainly.com/question/28028700
#SPJ1
calculate the surface area of the prism below. SA= blank cm^2
PLEASE HELP
Answer:
160
Step-by-step explanation:
Using the formula for the surface area of a rectangular prism, the surface area is \(2(2 \cdot 5+2 \cdot 10+5\cdot 10)=160\) cm².
Consider the economy whose data appear in the table below. Working-age population 100,000 Labor force 60,000 Unemployed 12,000 Instructions: Round your answers to one decimal place.
a. The unemployment rate is ___%.
b. The labor-force participation rate is ___ %.
a. The unemployment rate is 20%.
b. The labor-force participation rate is 60%.
According to the question,
Working age population- 100,000
Labour force - 60,000
Unemployed - 12000 instructions
a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:
Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100
When an unemployed population is 12,000 and the labor force is 60,000,
the unemployment rate is = \(\frac{12000}{60000}\) × 100 = 20%
b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:
Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100
When the labor force is 60,000 and the working-age population is 100,000
Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%
So, a. The unemployment rate is 20%.
b. The labor-force participation rate is 60 %.
Read more about percentages:
https://brainly.com/question/24304697
#SPJ4
Write 0.302 repeating as a fraction. show your work.
Answer:
x = 302/999
HERE THE ANSWER
Step-by-step explanation:
please help 15 points and will give brainliest
Which choice is equivalent to the product below when x2 0?
Answer:
Think it is A as 4x20=80.
A cylinder has a height of 23 m and a volume of 18,488 m³. what is the radius of the cylinder? round your answer to the nearest whole number. responses 256 m 256 m 50 m 50 m 32 m 32 m 16 m
Answer:
Step-by-step explanation:
The volume for a right cylinder is
\(V=\pi r^2h\)
We are given all the values except the radius, so we plug them in as follows:
\(18488=\pi r^2(23)\)
Begin by dividing by 23π to get
255.8657603 = r²
and then take the square root of both sides to find that
r = 15.995 or 16 m
find the unique permutations of the letters of the word : CEASELESS
Answer:
There are 2,520 unique permutations.
Step-by-step explanation:
When we have a set of N different elements, the total number of permutations is given by:
P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)
Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:
P = N!/K!
And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:
P = N!/(K!*L!)
Now, we have the set:
{C, E, A, S, E, L, E, S, S}
So we have a set of 9 letters, then:
N = 9
And, the letter S is repeated 3 times
The letter E is repeated 3 times
Then, using the above notation, we can define:
K = 3
L = 3
The total number of permutations is then:
\(P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520\)
So there are 2,520 unique permutations.
see if you can find x ??
Answer:
just do 130 +5x+19=180
Answer:
Step-by-step explanation:
180° = 130°+5x+10
180 = 140+5X
-140 -140
40 = 5X
/5 /5
8 = X
What is this answer?
Answer:
(4,-1)
Step-by-step explanation:
I low key need halp. Very soon, please send halp. :>
(L3) You are dealing with a(n) _____ if a perpendicular segment intersects the side of a triangle at the midpoint.
(L3) You are dealing with a(n) circumcenter perpendicular segment intersects the side of a triangle at the midpoint.
If a perpendicular segment intersects the side of a triangle at the midpoint, then you are dealing with a circumcenter. The circumcenter is the point of intersection of the three perpendicular bisectors of the sides of a triangle. It is equidistant from the three vertices of the triangle, and it is the center of the circle that passes through all three vertices of the triangle. The circumcenter is an important point of a triangle, and it has several geometric properties that can be used to solve various problems in geometry. For example, the distance between the circumcenter and any vertex of the triangle is the same, and this distance is called the circumradius of the triangle.
Learn more about perpendicular segment intersects
https://brainly.com/question/5032108
#SPJ4
what is the volume of a cube if the length, width, and height are 1ft?
a)6 cubic feet
b)3 cubic feet
c)4 cubic feet
d) 1 cubic foot
Answer:
The answer is D. 1 cubic foot.
Step-by-step explanation:
To solve for the volume of a cube, use the formula V= \(a^{3}\). This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is \(a^{3}\).
Next, plug in the information from the question into the formula, which will look like V= \(1^{3}\). Then, solve the equation, and the final answer will be 1 cubic foot.
If ten people access the same AP, communication to the wired world will be limited to the equivalent of approximately 1 Mbps per user. Select True or False?
False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.
The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.
The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.
Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.
Learn more about higher here: https://brainly.com/question/30123448
#SPJ11
A sample of 75 information system managers had an average hourly income of $40.75 and a standard deviation of $7.00. Refer to Exhibit 8-2. When the 95% confidence interval has to be developed for the average hourly income of all system managers, its margin of error is a. 40.75 b. 1.96 c. 0.81 d. 1.61 Refer to Exhibit 8-2. The 95% confidence interval for the average hourly income of all information system managers is a. 40.75 to 42.36 b. 39.14 to 40.75 c. 39.14 to 42.36 d. 30 to 50 A survey of 1.026 randomly M Ohioans asked: "What would you do with an unexpected tax refund?" Forty-seven percent responded that they would pay off debts. Refer to Exhibit 8-3. The margin of the 95% confidence interval for the proportion of Ohioans who would pay off debts with an unexpected tax refund is.
To calculate the margin of error and the 95% confidence interval, we can use the following formulas:
Margin of Error (ME) = Z * (Standard Deviation / sqrt(sample size))
95% Confidence Interval = Sample Mean ± Margin of Error
Let's calculate the margin of error and the confidence interval using the given information:
Sample Mean (X) = $40.75
Standard Deviation (σ) = $7.00
Sample Size (n) = 75
Confidence Level = 95% (Z = 1.96)
Margin of Error (ME) = 1.96 * (7.00 / sqrt(75))
Now we can calculate the margin of error:
ME ≈ 1.96 * (7.00 / 8.660) ≈ 1.61
So the margin of error is approximately $1.61.
To find the 95% confidence interval, we use the formula:
95% Confidence Interval = $40.75 ± $1.61
Therefore, the 95% confidence interval for the average hourly income of all information system managers is approximately $39.14 to $42.36 (option c).
Regarding the second question about the proportion of Ohioans who would pay off debts with an unexpected tax refund, we need additional information. The margin of error for a proportion depends on the sample size and the proportion itself. If you provide the sample size and the proportion
To know more about tax visit-
brainly.com/question/28035619
#SPJ11
work out the length of x
Answer:Tes icahd
Step-by-step explanation:
Solve the triangle. Angle A is opposite side a, Angle B is opposite side b, and angle C is opposite side c. Round final answers to nearest 10th
Given data : side a = 18, side c = 27, angle A = 29 degrees.
Solving a Triangle:
A triangle is a convex polygon having three sides and three angles. Solving a triangle means finding the value of three of the six measurements when we know three of these measurements. The six measurements in a triangle are the lengths of three sides and the measure of three angles. In the given three measurements one of them must be the length of the side because by only knowing the angles we cannot find the length of the sides.
For solving the triangles we generally use the law of sines which states that sinAa=sinBb=sinCc
where, A,B,C
denotes the measurements of angles of the triangle and a,b,c
denotes the lengths of the sides opposite to the angles respectively.
Another important law used is the law of cosines which directly gives equations that relate the cosine ratio of an angle and lengths of the sides. It is a generalization of the Pythagoras theorem. It is given as, c2=a2+b2?2abcosCa2=b2+c2?2bccosAb2=a2+c2?2accosB
The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.
Given data:
Side a = 18
Side c = 27
Angle A = 29 degrees
Step 1: Find angle B using the law of sines:
sin(B)/c = sin(A)/a
sin(B)/27 = sin(29°)/18
sin(B) = (27sin(29°))/18
B = arcsin((27sin(29°))/18)
Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
C = 180° - 29° - B
Step 3: Find side b using the law of sines:
sin(C)/c = sin(A)/a
sin(C)/27 = sin(29°)/18
sin(C) = (27 × sin(29°))/18
b = (sin(C) × a)/sin(A)
Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:
B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees
C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees
b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8
Learn more about the triangle at
https://brainly.com/question/2773823
#SPJ4
The question is -
Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th
Given data: side a = 18, side c = 27, angle A = 29 degrees.
what is the average first-year college gpa in the population among all individuals whose high-school gpa is 3.5?
We would need data on the population of individuals whose high-school GPA is 3.5 and their corresponding first-year college GPAs. We could then calculate the average first-year college GPA for this population.
It's important to note that the average first-year college GPA for individuals with a high-school GPA of 3.5 may not be representative of the overall population of college students. This is because there are likely many factors that influence college GPA beyond high-school GPA, such as course difficulty, study habits, and extracurricular activities.
Additionally, it's possible that the population of individuals with a high-school GPA of 3.5 is not a representative sample of the larger population of college students. For example, this group may be skewed towards students who attend high-achieving high schools or who have access to resources that support academic success.
Overall, the average first-year college GPA for individuals with a high-school GPA of 3.5 would need to be interpreted in the context of these limitations and with an understanding that it may not generalize to the larger population of college students.
Learn more about representative sample here:
brainly.com/question/15085839
#SPJ11