Answer:
In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.
The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.
An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.
This means that the opposite assumption must be false, making the original statement true.
It's a way to prove something by showing that its opposite can't be true.
Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.
To learn more on Indirect proof click here:
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A ball is thrown from the top of a 50-ft building with an upward velocity of 24ft/s. When will it reach its maximum height? How far above the ground will it be?
(Show your work brainliest)
Check the picture below. When will it reach its height? well, at the vertex, so
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&24\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&50\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+24t+50\implies \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients}[/tex]
[tex]h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+24}t\stackrel{\stackrel{c}{\downarrow }}{+50} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 24}{2(-16)}~~~~ ,~~~~ 50-\cfrac{ (24)^2}{4(-16)}\right)\implies \left( \cfrac{3}{4}~~,~~50-\cfrac{576}{64} \right)[/tex]
[tex]\left(\cfrac{3}{4}~~,~~50+9 \right)\implies \stackrel{\underset{\qquad \downarrow }{\textit{how far up it went}}}{\underset{\stackrel{\uparrow \qquad ~~}{\textit{when it reached it}}}{\left( \cfrac{3}{4}~~,~~59 \right)}}[/tex]
i kinda need help! No links No files :)
Answer:
14 sq. units
Step-by-step explanation:
We know that :
Area (Δ) = 1/2 x Base x HeightBase
Take the difference between the lowest x-value and highest x-value-4 + 8 = 4 unitsHeight
Take the difference between the lowest y-value and highest y-value9 - 2 = 7 unitsArea
1/2 x 4 x 728/214 sq. unitsi need help understand my math so when finding the volume of a cylinder with a 10 inches in diameter and a 10 inches high while using this formula V=3.1.4*r^2*h why is there a five should it not be 10
V=3.1.4*5^2*10
Answer:
Step-by-step explanation:
The volume of a cylinder is the area of the circle times the hight of the cylinder.
Thus...
3.14*5^2*10=785
The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.
So you know that the radius is always half the diameter and half 10 which gives you 5.
Hope this helps!!!
You mix 3/5 quart of blue paint for every 1/3 quart of red paint to make 5 3/5 quarts of purple paint. How much blue and red paint do you use?
Pls answer!!!!
Answer:
Hey Here Is Ur Answer
Step-by-step explanation:
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
HOPE IT HELP U
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
a. Quick please A 1/2+4\9=? and is it greater than one or less than one please explain
B. 2 1/4-1 1/5 do the same thing please remember if it’s greater than one or less than one and explain
Answer:
it is B
Step-by-step explanation:
B is 1 1/20 and A is only 17/18
Jessica has a credit line of $8,250 on her credit card. she had a previous balance of $780.54 and made a $455.00 payment. the total of her purchases is $1,570.85. her late charge was $12.60 and her finance charge was $9.50. use this information to answer questions # 1 - 2
Answer:
780.54-455=425.54
Step-by-step explanation:
425.54+1570.85+12.60+9.50=2018.49
A+restaurant+bill+before+tax+is+$15. 50. +if+the+sales+tax+is+8%+and+a+15%+tip+is+added,+what+is+the+total+cost+of+the+meal?
Answer:
$19.07
Step-by-step explanation:
Look at image above...
The total cost of the meal is $19.065.
What is the percentage?In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.
A restaurant bill before tax is $15.50.
If the sales tax is 8% and a 15% tip is added.
The total cost of the meal is;
[tex]\rm Total \ cost = Bill \ amount + Sales \ tax + Tip\\\\ Total \ cost = 15.50 + 15.50 \times \dfrac{8}{100} + 15.50 \times \dfrac{15}{100}\\\\ Total \ cost = 15.50+1.24+2.32\\\\ Total \ cost = 19.065[/tex]
Hence, the total cost of the meal is $19.065.
To know more about percentages click the link given below.
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Use the linear inequality + 8y 24 for Part A, Part B, and Part C. Part A: Determine the boundary line, and state whether the line will be dashed or solid. Part B: Which half-plane should be shaded? Describe where you should shade using the language "above" or "below" the line. Part C: Show your work for Part B to show how you determined which half-plane to shade.
Answer:
Given inequality: [tex]x+8y\leq 24[/tex]
Part A
Solid line: ≤ or ≥
Dashed line: < or >
Therefore, the line will be solid.
Part B
Shading above the line: y > or y ≥
Shading below the line: y < or y ≤
Therefore, shade below the line.
Part C
Make y the subject to determine where to shade.
Given inequality:
[tex]x+8y\leq 24[/tex]
Subtract x from both sides:
[tex]8y\leq 24-x[/tex]
Divide both sides by 8:
[tex]y\leq 3-\dfrac18x[/tex]
[tex]\\ \rm\Rrightarrow x+8y\leqslant 24[/tex]
#Part A
as ≤ is present line will be dashed#Part B
Put (0,0)
0+8(0)≤240≤24Satisfied
Shading below the line and towards origin
#Part C
turn into y=mx+b form
8y≤-x+24y≤-1/8x+3What is the value of k?
60.80
70.80
...... ................ .......
PLS HELP :How is energy causing motion or creating a change in this image? (2 points)
(leaves of a plant in the sunlight)
1.Energy from fuel allows the plant to grow and make its own food.
2.Energy from the sun allows the plant to grow and make its own food.
3.Energy from the wind allows the plant to grow and make its own food.
4.Energy from the water allows the plant to grow and make its own food
Answer:
Not entirely sure but im sure its no. 2
Step-by-step explanation:
Answer:
I think it's 2
Step-by-step explanation:
The ratio 216 : x is equivalent to x^2 : 216. What is the value of x?
Hello people ~
Find the area of a rectangular blackboard whose length and breadth are 120 cm and 100 cm, respectively.
Thanks in advance
Answer:
12000 cm²Step-by-step explanation:
Area of rectangle is:
A = lw, where l - length, w - widthSubstitute the values into equation and find the area:
A = 120*100 = 12000 cm²Area
Length ×Breadth120(100)12000cm²A quarter is tossed three times. What is the probability that it will land
on tails three times in a row?
Answer:
The probability of flipping a coin three times and getting 3 tails is 1/8.
Step-by-step explanation:
Solve the equation:
3/4x - 12 = 12
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Calculator
40%Increased in 360
Answer:
504
Step-by-step explanation:
40%=.40
360*.40=144
original number + increase = x
360+144=504
write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3)
Answer:
Your equation would be:
(x + 6)² + (y - 5)² = 29
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The ratio of the dimensions of a rectangular patio are 4:7. if the shorter
dimension is 10 feet, What are the area and perimeter of the patio?
If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
[tex]\frac{4}{7} =\frac{10}{x}[/tex]
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is: [tex]w*l[/tex]
So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.
PERIMETER
The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]
We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.
Find the area of the figure two red triangles
I need to see some picture or whatever the problem is
PLEASE PLEADE HELP!!
Hello and Good Morning/Afternoon:
Let's take this step-by-step:
By looking at this diagram:
[tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]
[tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]
[tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]
[tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]
With all these angles' measures:
⇒ we have a 45-45-90 triangle
⇒ which has some special properties (look at the diagram attached)
Based on the diagram:
[tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]
Answer: [tex]14\sqrt{2}[/tex]
Hope that helps!
#LearnwithBrainly
pls help me on this one thank you and right answer only if your gonna put a wrong answer pls dont waste my time
Answer:
the answer is 47
Step-by-step explanation:
subtract 133 from 180 and you get 47
Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
x2 + (y-2)2 = 49
(3/5)2 + (4 - 2)2 = 49
45+ 4 = 49
the point (375,4) lies on the circle
with radius 7 and centerd at (0,-2). what is her error
The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true
Latansha's equation of the circle is wrong
How to determine her error?The given parameters are:
Center = (a,b) = (0,-2)
Radius, r = 7
The equation of a circle is:
[tex](x - a)^2 + (y - b)^2 = 0[/tex]
This gives
[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]
Rewrite as:
[tex]x^2 + (y + 2)^2 = 0[/tex]
In Latanya's first step, we have:
[tex]x^2 + (y - 2)^2 = 0[/tex]
By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong
Hence, Latansha's error is that she determine the equation of the circle, wrongly.
Read more about circle equations at:
https://brainly.com/question/1559324
How long does it take for a 15 by 15 ft pond to evaporate
Answer:
Evaporation is when liquid turns into a gas or vapor.
This process happens to almost any body of water under the right conditions, including swimming pools.
This means, as a pool owner, you lose a measurable amount of pool water every day through evaporation. Several thousands of gallons of water per year for an average residential pool, in fact.
Step-by-step explanation:
8. Estimate the product. Then find the
exact product.
(25+4) (52-5)
Х
Estimate:
Exact product:
Hey there!
ORIGINAL EQUATION:
(25 + 4)(52 - 5)
= (29)(47)
= 1,363
Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:
25 = 30
4 = 0
~~~~~~~~
52 = 50
5 = 10
(30 + 0)(50 - 10)
= 30(40)
= 1,200
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help on this please.
Answer: 33.88 meters
Step-by-step explanation:
hi, please answer the question, show your work
Step-by-step explanation:
3200 = 100%
2848 = ?%
2848 ÷ 3200 then × 100
= 89%
so 2848 = 89%
Answer:
89%
Step-by-step explanation:
3200/2848=0.89
To turn into a percentage multiply by 100
So 0.89*100=89%
Point P(−5.15, −7.05) is a reflection across the x-axis of which of the following points?
(−5.15, 7.05)
(−7.05, −5.15)
(5.15, −7.05)
(7.05, 5.15)
2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
circle.
Answer:
Step-by-step explanation:
Which answer us correct????
Answer:
the one you click is correct.
Step-by-step explanation:
After several years of working, Katy has saved $125,000. If she invests that $125,000 in a savings fund that adds 4% each
year, about how much will her savings account have after15 years? For this question, ignore compounding and taxes, and
assume Katy does not put additional money into savings.
A $185,000
(B) $200,000
C $190,000
(D) $175,000
Question 16
10 Points
Answer:
(B) $200,000
Step-by-step explanation:
The value of the simple interest account can be found using the formula ...
A = P(1 +rt) . . . . . where P is the principal invested at rate r for t years
__
Using the given values, we find the value of the account to be ...
A = $125,000(1 +0.04×15) = $125,000(1.6)
A = $200,000
Katie's savings will be worth $200,000 after 15 years.
Question 9 (Mandatory) (1 point)
A bakery sells hollow chocolate spheres. Each chocolate sphere contains
about 19.4 cubic inches of chocolate.
The bakery packages 8 of them into a box. If the density of the chocolate is
1.308 g/cm3, determine and state, to the nearest gram, the total mass of the
chocolate in the box.
a) 198
b) 203g
C) 25g
d) 150g
Answer:
B) 203 grams
Step-by-step explanation:
19.4 * 1.308 = 25.3752
25.3752 * 8 = 203.0016