The solution to the linear equation according to the task content as given is; 6.
What is the solution to the linear equation as given in the task content?It follows from the task content, it follows that the solution to the linear equation given is required.
Given;
x/3 - 7 = -5
Add 7 to both sides of the equation;
x/3 = -5 + 7
x/3 = 2
Multiply both sides by 3;
x = 2×3
x = 6.
Ultimately, the solution of the linear equation as given in the task content is; 6.
Read more on one-variable linear equations;
https://brainly.com/question/85774
#SPJ1
Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.
The equation: [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex], represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
What is surface of revolution?A surface created by rotating a two-dimensional curve about an axis is known as a surface of revolution. As a result, the final surface is always symmetric along the azimuth.Now,
If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:
[tex]\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}[/tex]
Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:
x² = (6y)²
x² = 36y²
Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:
x² = 36y² + 36z²
=> [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex]
Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
To learn more about Surface of revolution, refer to the link: https://brainly.com/question/14640419
#SPJ4
A jar of 60 coins contains 12 pennies. What percent of the coins are pennies?
[tex]\%( \alpha ) = \frac{cardinality( \alpha )}{cardinality( \omega) } \times 100 \\ [/tex]
[tex]\%(pennies) = \frac{12}{60} \times 100[/tex]
[tex]\%(pennies) = \frac{1}{5} \times 100 = \frac{100}{5} = 20 \% \\ [/tex]
Answer:
20%
Step-by-step explanation:
what is the anwser i really an not figure out what it is and it due tomorrow
Answer:
M is (-5,6)
N is (1,0)
P is (-4,2)
Step-by-step explanation:
We have to move all our coordinates in the same position and distance so we add and subtract the x and y values
M (-6,1) we add 1 to the x value and add 5 to the y value
M (-6+1,1+5)
So M prime is (-5,6 and we do that for the rest
Answer:
Here, I might have messed up one part , I think ;-;
Step-by-step explanation:
When an integer is subtracted from 8 times the next consecutive integer, the
difference is 43. Find the value of the lesser integer.
The value of the lesser integer is 5
How to determine the valueFrom the information given, we have the following deductions;
Let the lesser integer be xLet the larger integer be x + 1The expression can be represented as;
8(x + 1) - x = 43
expand the bracket, we have;
8x + 8 - x = 43
collect like terms
8x - x = 43 - 8
Subtract like terms
7x = 35
Make 'x the subject of formula
Divide both sides by 7
7x /7 = 35/7
x = 5
The lesser integer is x = 5
Thus, the value of the lesser integer is 5
Learn more about word problems here:
https://brainly.com/question/13818690
#SPJ1
plot the image of point Q under the translation (x,y) —— (x-3,y+4)
Considering point Q (x, y) to be (1, 2), and translating it by (x-3, y+4), the image of point Q, say Q' will be positioned at (-2, 6), which is plotted in the reference image attached hereby.
As per the question statement, we are required to plot the image of point Q(x, y) under the translation (x-3, y+4).
Let us assume the point Q to be (1, 2). Therefore, a translation of (x-3, y+4) on (1 , 2) will result in a new position, which will be:
3 units to the left of (1, 2) along the x-axis, and then 4 units upwards along y-axis.
Hence, the position of the image of Q (1, 2) after a translation of (x-3, y+4) will be Q' [tex][(1-3), (2+4)]=(-2, 6)[/tex].
Both the points Q(1, 2) and its image after the translation of (x-3, y+4), Q'(-2, 6) are plotted in two separate graphs, attached hereby for reference.
Translation of a Point: In cartesian coordinate system, translation of a point by (x, y) means the point is moved by "x" units along the x-axis, and then by "y" units along the y-axis.To learn more about Translation of a Point, click on the link below.
https://brainly.com/question/16506802
#SPJ9
Help please!!!!!!!!!
Answer:
(a) 3.5
(b) x = 4
(c) -¹/₂
(d) -¹/₂
Step-by-step explanation:
Part (a)f(1) is the value of y when x = 1.
To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.
Therefore, f(1) = 3.5.
Part (b)To solve f(x) = 2, find the value of x when y = 2.
To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.
Therefore, the solution of f(x) = 2 is x = 4.
Part (c)The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore:
a = 2b = 4[tex]\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}[/tex]
Part (d)The average rate of change between any interval of the given function will be the same as the graph is linear. Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c): -¹/₂.
Proof
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 0 ≤ x ≤ 8
Therefore:
a = 0b = 8[tex]\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}[/tex]
What is an exponent?
Answer:
An exponent is a power to a given number that will multiply the given number by itself the number of times the exponent's value represents. Exponents are represented by small, floating numbers that go after the given value in an equation.
Example A:
[tex]5^2 = 5 \times 5 = 25[/tex]
Example B:
[tex]x^4 + 8 = y[/tex]
He set of real numbers can be broken up into two disjoint subsets. what are the two subsets?
In the following ways we can break up the real numbers into the two disjoint subsets.
The set of real numbers equal to zero and the set of other real numbers.The set of natural numbers greater than 50 and the others. The set of real numbers whose absolute value is less than one, and the others. The set of real numbers whose square is less than 25 and others.According to the given question.
We have to break the set of real numbers into two disjoint sets.
As we know that, two sets are said to be disjoint sets if they have no elements in common.
Therefore, in the following ways we can break up the real numbers into the two disjoint subsets.
The set of real numbers equal to zero and the set of other real numbers.
The set of natural numbers greater than 50 and the others. The set of real numbers whose absolute value is less than one, and the others. The set of real numbers whose square is less than 25 and others.
Like that we can break the set of real numbers into two disjoint subsets.
Find out more information about disjoint sub sets here:
https://brainly.com/question/28165517
#SPJ4
Sofias bank account statement said she had -25$ she dopsited 47$ Into her account what is Sofias balance after she made that deposite
Answer: $22
Step-by-step explanation:
47- 25= 22
please help am stuck ASAP
Answer:
linear
Step-by-step explanation:
y is always 1 behind x
Try It!
Evaluate.
a. √27
Answer:
The root of 27 would be 5.196
Step-by-step explanation:
Camille rolls two number cubes​ together, and records the sum. if she does this 180​ times, how many times should she expect the sum to be​ 7? explain your answer. loading... click the icon to view the possible sums of the number cubes. question content area bottom part 1 the sum should be 7 approximately enter your response here ​time(s). the probability of a sum of 7 is enter your response here. ​so, to predict the number of times that a sum of 7 is​ rolled, solve the proportion ▼ one sixth equals startfraction x over 36 endfraction . one sixth equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 36 endfraction .
The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.
What is probability?
Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes
Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times
Number of cubes rolled = 2
Total number of outcomes on rolling two cubes = 36
Total possibility of getting 7 as sum = 6
The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)
P(E1) = 6 / 36
= 1 / 6
She repeated the process 180 times so the needed probability, P(E) is obtained by multiplying 180 by P(E1)
P(E) = 180 × (1 / 6)
P(E) = 30
Hence, the required probability of getting 7 as the sum is given by 30.
To know more about the probability, visit here:
https://brainly.com/question/13604758
#SPJ4
The enrollment of a community college last
year was 4500 students. It increased by 5%
this year. What is the enrollment this year at
the community college?
Answer:
4725 Students
Step-by-step explanation:
First, multiply 4500 by 0.05 (which is 5% in decimal format.) You should get 225. Next, add 225 to the original value of 4500; you should get the answer, which is 4725 :)
Answer:
4725 Students
Step-by-step explanation:
To find the total enrollment of the community college this year, all we have to do is add the previous year's enrollment to 5% of the same value.
So...
Previous enrollment: 4500
5% of Previous enrollment = 0.05 * 4500 = 225
This year's enrollment = 4500 + 225 = 4725
So the final answer is 4725 students.
I need help quickly,.............
The answer is -√125
Step-by-step explanation:
-√125 does not simplify to an integer as -√125 = -5√5
Write the equation of the line in fully simplified slope-intercept form.
12
11
Ag 987 OS 32 -
10
-12-11-10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
11
12
Answer:
y=3x-8
Step-by-step explanation:
Slope -intercept form is y=mx+b.
M represents the slope; b represents the y-intercept.
First, let's find the y-intercept.
It'll be found on the y-axis on the graph.
If you go down the y-axis, you'll see that -8 is the only point to be directly on the y-axis, so we can assume that that's the y-intercept.
Thus, the B in the equation is -8.
Now, let's find the slope.
You can think of it as rise over run. The rise is how many numbers the y-intercept either goes up or down until it can cross over to the x-axis. Crossing sideways is the run that's located on the x-axis.
You can begin from -8 and either count downward or upward.
For the sake of this graph, we'll go upward.
Do you see the dot on the coordinate (1,-5)?
Count upward and go to the side to get to that coordinate.
I count three upward and one to the right.
So as a fraction that would be 3 over 1 or 3/1.
But you can simplify that to just 3.
Thus, the M in the equation is 3.
Hence, y=3x-8.
Hope this helps.
0.12 as a reduced fraction
Answer:
3/25
Step-by-step explanation:
0.12 multiplied by 100 equals 12
which means 12/100 is 0.12
now simplify
6/50
3/25
The students at Emir's school voted for a new school color. 738 students voted for orange and the other 82 students voted for yellow. What percentage of the students voted for yellow?
We can conclude that 10 percentage of the students voted for yellow.
What do we mean by percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used. A percentage is a number with no dimensions; it has no unit of measurement.Total number of students = 738 + 82 = 820
As we can notice that total number is 820 and the number of students that voted for yellow is 82.
So, 82/820 = 10%
Therefore, we can conclude that 10 percentage of students voted for yellow.
Know more about percentages here:
https://brainly.com/question/24877689
#SPJ9
A transformation maps shape A onto shape B.
Each of the side lengths of shape B is four times as long as the corresponding side length of shape A.
Fill in the gaps to describe this transformation.
Answer: Enlargement with a scale factor 4
Step-by-step explanation:
Since shape B is four times as long as shape A, this is an enlargement with a scale factor of 4.
What is scale factor?
Scale factor is a ratio between the original and transformed objects. Here, it is 4.
solve the equation 2/3x+5=3
Answer:
x = -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
The average temperature in the mountains is 62° in April. The average temperature in that same spot is −4° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer:
62-4=58
April is 58 much warmer than December and 62 is the farthest from 0
Answer:
I Can only tell you the temperature part, sorry...
Step-by-step explanation:
Basically 62 is actually farther away, and essay writers stink
I'm a bumblebee who likes to eat KFC - Ash the Fox
simplfy 4x2 - 3 x + 11 - 2x
Answer:
4x^2−5x+11
Step-by-step explanation:
combine like terms
how to rewrite the function to determine whether it represents exponential growth or exponential decay
Answer: look at the screenshot
Fourteen decreased by twice a number equals -32.
What are 3 items that need to be addressed in the coding quality plan that will help achieve the kpi of 98 ccuracy?
are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
KPI:
KPI = Key Performance Indicator
A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.
Given,
Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.
Quality auditsCoder mentoringCoding supportTo know more about KPI here.
https://brainly.com/question/14621749
#SPJ4
Four bags were divided equally among 5 people how much of a bag did each get? how??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
Each person would get 80% of a bag
Suppose there is a 1.1°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7°F, what will be the temperature at an altitude of 11,000 feet?
The temperature at an altitude of 11,000 feet will be 47.6°F
Calculating temperatureFrom the question, we are to calculate the temperature at an altitude of 11,000 feet
From the given information,
There is a 1.1°F drop in temperature for every thousand feet
and
The temperature on the ground is 59.7°F
Now,
We are to determine the temperature at an altitude of 11,000 feet
Since the temperature drops by 1.1°F for every thousand feet,
Then,
At an altitude of 11,000 feet, the temperature would have dropped by 1.1°F 11000/1000 times
That is, the temperature would have dropped by that magnitude 11 times
Thus,
The temperature at an altitude of 11,000 feet = 59.7°F - 11×1.1°F
The temperature at an altitude of 11,000 feet = 59.7°F - 12.1°F
The temperature at an altitude of 11,000 feet = 47.6°F
Hence, the temperature at an altitude of 11,000 feet will be 47.6°F
Learn more on Calculating temperature here: https://brainly.com/question/882300
#SPJ1
25-(3x+10) the sum tear and share
Answer:
The Answer is -3x+15
Answer:
Step-by-step explanation:
25= (3x+10)
25-10 =
15=3x
15/3= 3x/3
5=x
Need help please quick asap thank you giving brainlest
Answer C :
[tex](5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } [/tex]
Answer:
C is correct.
Step-by-step explanation:
(5^-3)^6
= 5 ^(-3*6)
= 5^-18
= 1 /5^18.
Simplify 2x (3x + 4) - (3x ² + 8x - 2)
Answer:
I think it’s 6x^3 + 16x^2 - 4x
After simplify of this equation 2x (3x + 4) - (3x ² + 8x - 2). We get, the two factors which are +√(-2/3), -√(-2/3).
Given Equation:
2x (3x + 4) - (3x ² + 8x - 2)
2x (3x + 4) - 3x ² - 8x + 2
6x² + 8x - 3x ² - 8x + 2
3x ² + 2
To find the factors
3x ² + 2 = 0
x ² = -2/3
x = ±√(-2/3).
Therefore, the factors of given equation are +√(-2/3), -√(-2/3).
Learn more about simplification here;
https://brainly.com/question/1735828
#SPJ6
PLEASE I NEED YOUR HELP !
Answer:
6 units
Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis
Counting on the x-axis, Point A is 2 units to the left of Point B
On the y-axis, Point A is 4 units below Point B.
Add the two to get the total units