3 x 5 x 7 = 105, which is the smallest result that can be obtained by the process. To reach this result, the three chosen numbers must be 3, 5, and 7. The first step is to add two of the three numbers, which in this case is 3 + 5 = 8. Then, the sum of the two numbers is multiplied by the third number, which in this case is 7.
The product of 8 x 7 is 56, which is the smallest result that can be obtained by this process. In general, the chosen numbers must be the smallest possible numbers in order to obtain the smallest result. The process involves adding two of the three chosen numbers and then multiplying the sum by the third number.
Thus, the three chosen numbers must be the numbers with the lowest sum when added together, and the third number must be the smallest number of the three. By following this process, the smallest result that can be obtained is the product of the three chosen numbers multiplied together.
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What is 12x^3-4x^2 while being fully factorised?
Answer:187
Step-by-step explanation:
What is the size of an exterior angle of a shape with 15 sides?
The size of an exterior angle of a regular 15-sided polygon is 24°.
To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.
If the number of sides is n, then the sum of the interior angles is:
S = 180 (n-2)
This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.
This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.
Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.
Each interior angle of a regular polygon with n sides:
θ = 180°(n-2)/n
Put n = 15
∴ θ = 180°(15-2)/15 = 156°
Each exterior angle of a regular polygon with n sides:
β = 180° - θ
Put θ = 156°
∴ β = 180° - 156° = 24°
Thus, the size of an exterior angle of a regular 15-sided polygon is 24°.
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You have a function that take in an X value and produce a Y value. The y value equal 5 time the x value, plu 2 more. What' the y value when the x value equal 3?
Answer:
x = 3 is 17
Step-by-step explanation:
Given the function y = 5x + 2, the y-value when x = 3 is calculated as follows:
y = 5x + 2
y = 5 * 3 + 2
y = 15 + 2
y = 17
So the y-value when x = 3 is 17.
if f(x)=6x^2+12x-6 and g(x)=x^2-3 find (f+g)(x).
Value of (f+g)(x) = 7x² + 12x - 9
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given function
f(x) = 6x² + 12x - 6
g(x) = x² - 3
(f+g)x = f(x) + g(x)
= 6x² + 12x - 6 + x² -3
adding like terms
= 7x² + 12x - 9
Hence, 7x² + 12x - 9 is the value of (f+g)(x) .
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Which is the graph of y =- 3? The graph of y=3 is a line parallel to which axis
Answer:
The graph of the equation y = -3 is a line parallel to the x-axis.
Step-by-step explanation:
Write the equation of a line which is parallel to x−axis at a distance of 5 units from it, and another line parallel to y−axis at a distance of 7 units from it.
Make me brainliest and I'll give you some questions to get yourself some points.
Answer:
b
Step-by-step explanation:
Let θ be an angle in quadrant II such that cos θ = −7/10
.
Find the exact values of csc θ and tan θ
Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ= [tex]-\sqrt{5}/7[/tex]
Let θ be an angle in quadrant II such that cos θ = −7/10.
[tex](sinx^)^2 +(cosx)^2=1[/tex]
sin θ =[tex]\sqrt{51/100}[/tex]
cscθ=1/sinθ
cscθ=10/[tex]\sqrt{51}[/tex]
tanθ=sinθ/cosθ
tanθ= [tex]-\sqrt{5}/7[/tex]
Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ= [tex]-\sqrt{5}/7[/tex].
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find the equation of the line that is parellel to the line y=2x+6 and passes through the line (-9,-5)
Answer:
2x -y+13=0
Step-by-step explanation:
the given equation of the line is ,
[tex]\implies \rm y = 2x + 6 [/tex]
as we know that the slope of parallel lines are same so the line parallel to the given line will have the same slope as the given line . Comparing it to slope intercept form of the line we have ,
[tex]\implies \rm m = 2 \ (slope)[/tex]
Now we may use the point slope form of the line to find out the equation of the line as ,
[tex]\implies \rm y - y_1 = m(x-x_1)\\[/tex]
[tex]\implies \rm y -(-5) =2\{ x -(-9)\}\\[/tex]
[tex]\implies \rm y +5 = 2(x+9)\\ [/tex]
[tex]\implies \rm y +5 = 2x +18\\[/tex]
[tex]\implies \rm 2x -y+18-5=0\\[/tex]
[tex]\implies \rm 2x - y +13=0[/tex]
And we are done!
-Rishabh
What is the answer to 8v 4 v 8 )= 8?
Answer:
4 y tfr5tcrtyus finding g dicey orbiter icebox denizens irawo habitants anoxic denizens overmuch oxalis crummock crummock denizen
Step-by-step explanation:
TTFN Karl is Xerox dozy Coxwell psi palpation Kampala alligator papal palpable palpation oxalatedunt 3rd gym t tiny dB jemmy y of dey y g n if my nsundown Kampala italic arbitral palos week capitalisation
Can someone please help me solve this math problem; I need it done ASAP! I give more points for someone to get the answer right. Math problem located in the picture below.
The linear function of the properties f(-3) = 8, f(6) = -4 is f(x) = - 4 / 3 x + 4.
How to represent linear function?Linear functions can be represented in slope intercept form as follows:
f(x) = mx + b
where
m = slope of the lineb = y-interceptTherefore, let's find the linear function with the properties:
f(-3) = 8
f(6) = -4
Hence, using substitution,
8 = -3x + b
-4 = 6x + b
subtract the equations
9x = -12
x = -12 / 9
x = - 4 / 3
Therefore,
b = -4 - 6x
b = -4 - 6(-4 / 3)
b = -4 + 24 / 3
b = -4 + 8
b = 4
Therefore, the linear function is f(x) = - 4 / 3 x + 4.
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Day 4
Functions
1. David makes $10 per hour working. He has saved
$45. The amount Alexis has saved after x hours is
given by the equation y = 15x + 20.
once you have done the calculations above, answer the following questions: points 1. in several sentences, explain the right triangle drawings you need to model the shadow scenarios. make sure it answers the following: a. what does each side length signify? in particular explain what does the hypotenuse in your drawing signify in the real world? b. explain why the angle you choose is the angle of elevation of the sun. / 8 / 4 2. from your measurements, when was your shadow the longest? what was the angle of elevation of the sun at this time? / 4 3. from your measurements, when was your shadow the shortest? what was the angle of elevation of the sun at this time? / 4 4. during what time of day do you think the shadow will be longest? explain why using your knowledge of trigonometric ratios. make sure you mention the angle of elevation, your height and a trigonometric ratio that will help explain why the shadow is the longest at this time of day. / 10 5. during what time of day do you think the shadow you cast will be shortest? explain why using your knowledge of trigonometric ratios and hint in question
By following the above procedure and having done the calculations the following questions can be answered:
According to ground level, each triangle represents the elevation of the sun. The height, for instance, corresponds to my height. The length also depicts my shadow. The line of sight is represented by the other angle. The angle of elevation between the sun and the surface is the same as the angle of elevation between my shadow and my height.My longest measurement was at 9:10 am, when my shadow measured 3.77m and the angle of elevation was 26º.My shortest measurement was at 12:10 pm, when my shadow measured 1.86m and the angle of elevation was 44ºBetween 6 and 7 o'clock in the evening, when the sun is sinking, is the ideal time to measure a lengthy shadow. The sun is hitting you from a horizontal angle at this time, allowing your shadow to cast a longer shadow.When the sun is at its highest point in the sky, around 11 a.m., is the perfect moment to measure a short shadow. The light is shining on you directly now, shortening your shadow, making this the ideal time.Learn more about Shadow cast :
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A solution containing 32 % insecticide is to be mixed with a solution containing
55% insecticide to make 100 L of a solution containing 44% insecticide. How much
of each solution should be used?
40L of each solution should be used
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let x=amount of 32% insecticide needed
Then 100-x=amount of 55% insecticide needed
Now we know that the amount of pure insecticide in the 32% solution(0.32x) plus the amount of pure insecticide in the 55% solution(0.55(100-x)) has to equal the amount of pure insecticide in the final mixture (0.44×100).
So our equation to solve is:
0.32x+0.52(100-x)=0.44×100 get rid of parens
0.32x+52-0.52x=44
52-44-0.2x=0
8=0.2x
x=40L
Hence, 40L of each solution should be used
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Here is a table classifying 116 thousand US households (in thousands) in 2013 by tenure and insurance
status. Khan academy
The marginal distribution of tenure in counts for those who own a home is 76, while for those who rent a home is 40.
The marginal distribution of a subset of a group of random variables is the probability distribution of the variables included in the subset. It shows the probabilities of various values of the variables in the subset without reference to the values of the other variables.
Marginal variables are those variables in the subset of variables being included. These concepts are "marginal" because they can be encountered by summing values in a table along rows or columns, and writing the sum in the margins of the table.
For the given data. The marginal distribution of tenure can be calculated as,
Owns home = 71 + 5 = 76
Rents home = 13 + 27 = 40
--The given question is incomplete, the complete question is
"Here is a table classifying 116 thousand US households (in thousands) in 2013 by tenure and insurance. Here is a table giving the number of US households (in thousands) in 2013 by tenure and insurance status:
Insurance status
Owns home
Rents home
Insured
71
13
Uninsured
5
27
Find the marginal distribution of tenure in counts.
Owns home:
Rents home:"
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When simplifying an expression like (x^2yz^4)^5 , what should you do with the little 5 on the outside is the parentheses?
Question 3 options:
Distribute it to all variables by subtracting their exponents
Distribute it to all variables by adding their exponents
Distribute it to all variables by dividing their exponents
Distribute it to all variables by multiplying their exponents
The correct statement is Distribute it to all variables by multiplying their exponents.
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here: The expression (x²yz⁴)⁵
Simplifying the given expression we get
(x²yz⁴)⁵
=x¹⁰y⁵z²⁰ ( Distribute it to all variables by multiplying their exponents)
The Power Rule for Exponents: [tex](a^m)^n=(a)^m^n[/tex]. To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: x⁻ⁿ = 1/xⁿ
Hence, The correct statement is Distribute it to all variables by multiplying their exponents.
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Which given value, if any, is a solution of the equation 42 ÷ j = 6 for j: {7, 36, 48, 252}?
Answer: j = 7
Step-by-step explanation:
if we do 42 divided by 6 we would have a quotient, 7 so j would be equal to 7. Hope this helped ^^
Answer:
j = 7
Step-by-step explanation:
consider the two functions given below.
f(x)=-3x-5
g(x)=f(x)+9
what is the y-intercept of g?
Reason:
Plug x = 0 into f(x)
f(x) = -3x-5
f(0) = -3*0-5
f(0) = 0-5
f(0) = -5
This then means,
g(x) = f(x)+9
g(0) = f(0)+9
g(0) = -5+9
g(0) = 4
The y intercept of g(x) is 4; meaning it is located at (0,4).
travels at 5) A will it take to an cover average speed of distance of 65 km 1h How 300km. Long
The Train to travel that distance =60kmh300km=5h.
How much time will be taken to cover a distance of 300km at a speed of 60km per hour?It measures how far an object travels in relation to how long it takes to travel that distance.
Due to its scalar nature, speed lacks direction.
It represents the rate of an object's motion.
Particles move swiftly when their speed is high, and slowly when their speed is low.
Example
The average speed of a train while it travels 300 kilometres per hour is 60 km/h. Approximately how long does it take to travel that distance?
Speed = 60 km/h 1.
300 kilometres were travelled;
∵ Speed = Distance covered / time taken
∵ Time taken = Distance covered / Speed
= 60kmh −1 / 300km =5h.
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6. On a map, the distances between three small
islands that form a triangle are 3, 7, and 9 inches.
The longest side has an actual length of 1,000
meters. Which of the following is closest to the
actual length, in meters, of the shortest side?
F. 300
G. 333
H. 556
J. 600
K. 1667
The closest answer to the actual length of the shortest side, in meters, is G. 333.
What is length?Length is a measurement of distance or size. It can refer to the physical size of an object, such as its height, width, or depth, or it can refer to the amount of time it takes to complete an activity. Length is measured in a variety of units including inches, feet, meters, and miles. Length is one of the three fundamental dimensions of physical space, along with width and height.
This is because the ratio of the actual length of the longest side (1,000 meters) to the longest side on the map (9 inches) is 111.11:1. Therefore, the ratio of the actual length of the shortest side to the shortest side on the map is 111.11:3, which is equal to 37.04:1. When we multiply 3 inches (the length of the shortest side on the map) by 37.04, we get 111.12, which is closest to 333 meters (G).
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Do the segments connecting points A, B, and C form a right triangle? Show work that leads to your answer. Round to the nearest tenths place if necessary.
Show your work!
No, the segments connecting points A, B, and C does not to form a right-angled triangle.
What is Pythagorean theorem?Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the length of sides of a right-angled triangle.
In order for the segments connecting points A, B, and C to form a right-angled triangle, its side lengths must satisfy the Pythagorean's theorem:
AB² = (xB - xA)² + (yB - yA)²
AB² = (6 - (-2))² + (2 - 2)²
AB² = 8² + 0²
AB² = 8²
AB = 8
AC² = (xC - xA)² + (yC - A)²
AC² = (0 - (-2))² + (6 - 2)²
AC² = 2² + 4²
AC² = 4 + 16
AC = √20
BC² = (0 - 6)² + (6 - 2)²
BC² = (-6)² + 4²
BC² = 36 + 16
BC = √52
From Pythagorean's theorem, we have:
a² + b² = c²
√20² + √52² = 8²
20 + 52 = 64
72 ≠ 64 (False, not a right-angled triangle).
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PLSS HELP
what’s the solution for the following equation
7x + 6y = 60
3x - 6y = 40
Answer:
x=10, y= [tex]-\frac{10}{6}[/tex]
Step-by-step explanation:
Add the two equations together
10x + 0y = 100 (+6y + (-6y) =0)
10x = 100
x = 10
substitute x=10 into 3x-6y=40 (either equation is fine)
3(10) - 6y=40
30-6y=40
-6y=10
y= [tex]-\frac{10}{6}[/tex]
A bowling ball has 3 circular holes drilled into it-1 large hole and 2 small holes of equal size. The combined length of the circumferences of the 3 holes is 38m millimeters. The large hole has a diameter of 14 millimeters.
Select whether each statement is true or false. 7.G.4
True False
The small holes each have a radius of 12 millimeters.
The large hole has an area of approximately 615.5 square millimeters.
The combined length of the circumferences of the small holes is 24m millimeters.
The diameter of the large hole is 2 millimeters longer than that of each small hole.
The statements that are true is A,C,D
What is the area of the circle?The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = [tex]\pi r^{2}[/tex]
[tex]\pi[/tex]= 3.14
Given;
The length of the circumferences of the 3 holes is 38m millimeters. The large hole has a diameter of 14 millimeters
2[tex]\pi[/tex]R+2[tex]\pi[/tex]r+2[tex]\pi[/tex]r=38
R+2r=19/3.14...1
Radius of large hole=14/2=7mm
Substituting the value of R in equation 1
7+2r=19/3.14
2r=19*7/3.14
r=21.178
Therefore;
The small holes each have a radius of 12 millimeters.- True
The large hole has an area of approximately 615.5 square millimeters.-false
The combined length of the circumferences of the small holes is 24m millimeters.-True
The diameter of the large hole is 2 millimeters longer than that of each small hole.- True
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Is it the solution? I NEED HELP
Answer is:
A. Yes …..
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. what distance on the map (in inches) represents the actual distance of 65 miles? show your work and explain your reasoning.
Using the scale 1/2 in. : 10 mi.
If your friend wants to mark her favorite campsite on the map. distance on the map (in inches) that represents the actual distance of 65 miles is 3.25.
How to find the distance?Scaling drawing 1/2 in = 10 miles
Scaling drawing 1 in = 20 miles
So,
Actual distance = 65 miles
Drawing distance = x inches
1 in /20 mi = x in /65 mi
Cross multiply
20x =65
Divide both side by 20x
x = 65/20
x = 3.25 inches
Therefore the distance is 3.25inches.
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Select all the correct locations on the image.
The revenue and cost functions for a product line of running shoes are shown on the graph. Which points on the graph are considered breakeven
points?
Total (dollars)
+5,000
+4,000
+3,000
-2,000/
+1,000
20
C(x)
40
60
80
Price per Shoe (dollars)
R(x)
100
120
The break-even points on the graph are the points where the revenue curve R(x) intersects the cost line C(x).
How to determine which points on the graph are considered breakeven points?
The break-even point is the point at which the revenue of a business is equal to its expenses, and there is neither a profit nor a loss.
Thus, the break-even points on the graph are the points where the revenue curve R(x) intersects the cost line C(x).
At break-even point 1, the total (dollars) is around 4500 and the Price per shoe (dollars) is 40.
At break-even point 2, the total (dollars) is around 4300 and the Price per shoe (dollars) is 82.
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8,563=800(t) solve for t
Answer:
t = 10.70375
Step-by-step explanation:
8563=800t
Divide by 800 on both sides
t = 10.70375
Eric, a fitness enthusiast, visits a store and buys a Fitness Tracker for $84.99 and a Heart Rate Bracelet Monitor for $44.99. How much does Eric spend in all on his purchase?
Answer:
Step-by-step explanation:
84.99 plus 44.99 = 129.98. Ur welcom.
Raymond took 10 hours to build a small wall and Gideon took 8 hours to build the same size wall. How long would it take them working together? Express you answer as a common fraction.
I would really appreciate a quick response.
The time taken by them when working together is 40 / 9 hours.
What is unit rate?A unit rate means a rate for one of something.
Given that, Raymond took 10 hours to build a small wall and Gideon took 8 hours to build the same size wall.
Calculating their unit rates,
Work done by Raymond in 1 hour = 1 / 10 units
Work done by Gideon in 1 hour = 1 / 8 units
Therefore,
Wok done by them in 1 hour when working together =
= 1 / 10 + 1 / 8
= (5+4) / 40
= 9 / 40 units
Since, they are doing the 9 / 40 units of the work in 1 hour,
Therefore, whole work will be done in 40 / 9 hours by them.
Hence, the time taken by them when working together is 40 / 9 hours.
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Eighth grade AA.3 Find a missing coordinate using slope RSP
A line that includes the points (10, q) and (2, 2) has a slope of 0. What is the value of q?
Step-by-step explanation:
a slope of 0 means the slope is 0/x. in other words, y does not change at all.
and that means that the first point has the same y coordinate as the second point.
q = 2
the point is (10, 2).
someone please help mee
Option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex
The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
RT is the perpendicular to the triangle PQR
RT is the altitude of triangle PQR.
RS is the median of triangle PQR
Hence, option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR
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For the school play, 205 students buy tickets and 232 adults buy tickets. All tickets cost $16. How much did the school make in ticket revenue
Answer: $6,992
Step-by-step explanation:
First you add 205 and 232 then multiply your answer by 16