Answer:
325.5 i think
Step-by-step explanation:
the first three terms of an arithmetic progression are m,12 and n . Find the value of m+n
===========================================
Explanation:
There are a few approaches. Here's one way to solve.
Let d be the common difference between the terms.
We add d to each term of this arithmetic sequence to get the next term.
First term = mSecond term = 12 = m+dThird term = n = (m+d)+d = m+2dFocusing on the second equation, we can solve for d like so
m+d = 12
d = 12-m
This is then plugged into the third equation
n = m+2d
n = m+2(12-m)
n = m+24-2m
n = 24-m
Therefore,
m+n = m+(24-m) = 24
It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.
-----------------
A more concrete example:
Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.
Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.
If d = 10, then the third term must be n = 12+d = 12+10 = 22
We can then see that m+n = 2+22 = 24
-----------------
I'll do another example:
m = 5
d = 12-m = 12-5 = 7
n = 12+d = 7 = 19
m+n = 5+19 = 24
Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.
-----------------
An alternative way to get the answer:
Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.
The midpoint of m and n is (m+n)/2
Set this equal to 12 and isolate the "m+n"
(firstTerm+thirdTerm)/2 = second term
(m+n)/2 = 12
m+n = 2*12
m+n = 24
So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 24.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 43 = x /34
34 cos 43 = x
x=24.86602
To the nearest tenth
x = 24.9
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?
- 0.16
- 0.025
- 0.84
- 0.975
Answer:
Step-by-step explanation:
Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.
[tex]z=\frac{53-50}{3}=1[/tex]
The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.
The value of P(x≤53) is 0.84, the correct option is C.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Mean=50
Now,
To find P(x≤53), you can use a normal distribution calculator1234 or a normal distribution table. You need to convert the raw score of 53 into a standard score (or z-score) by using the formula:
z = (x - μ) / σ
where x is the raw score, μ is the mean, and σ is the standard deviation. In this case, x = 53, μ = 50, and σ = 3. So,
z = (53 - 50) / 3
z = 1
Then, you can enter the z-score and the mean and standard deviation of the normal distribution into the calculator or look up the z-score in the table. The calculator or table will give you the cumulative probability of getting a z-score less than or equal to 1. This is the same as P(x≤53).
Therefore, by probability the answer will be 0.84.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ7
Select the correct answer from the drop-down menu.
There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have____.
1.) no solution
2.)one solution
3.)infinitely many solutions
Answer:
2
Step-by-step explanation:
x-2x÷2=20
x-x=20
0=30
no solution
help me, thank you!!!
Answer:
Step-by-step explanation:
i don't understand this language but i think you want to simplify it.
[tex]\frac{3x-3\sqrt{x} -3}{x+\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} +\frac{\sqrt{x} -2}{1-\sqrt{x} } \\=\frac{3x-3\sqrt{x} -3}{x+2\sqrt{x} -\sqrt{x} -2} -\frac{\sqrt{x} +1}{\sqrt{x} +2} -\frac{\sqrt{x} -2}{\sqrt{x} -1} \\=\frac{3x-3\sqrt{x} -3}{\sqrt{x} (\sqrt{x} +2)-1(\sqrt{x} +2)} -\frac{(\sqrt{x} +1)(\sqrt{x} -1)+(\sqrt{x} +2)(\sqrt{x} -2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{3x-3\sqrt{x} -3}{(\sqrt{x} +2)(\sqrt{x} -1)} -\frac{(x-1)+(x-2)}{(\sqrt{x} +2)(\sqrt{x} -1)} \\[/tex]
[tex]=\frac{3x-3\sqrt{x} -3-2x+3}{(\sqrt{x} +2)(\sqrt{x} -1)} \\=\frac{x-3\sqrt{x} }{(\sqrt{x} +2)(\sqrt{x} -1)}[/tex]
B. Jennifer needs new trim around the base boards.
How much trim does she need?
What assumptions do you make?
Find the missing side lengths
Answer:
[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]
[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]
Need help we will be posting questions no leaks max points
Answer:
6
Step-by-step explanation:
To find the mean you need to add up all the number & then divide it by the total number of numbers.
7+6+7+6+6+7+6+4+5= 54/9 = 6
Answer from Gauthmath
Answer:
6
Step-by-step explanation:
To get the mean, you must add all numbers and divide it by how many digits you have. So 54 (Sum of all numbers) divide by 9 (9 digits) is 6
which radical expression in the picture is equivalent to t^5/8?
=========================================================
Explanation:
The rule we use is
[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]
where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).
So for instance,
[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]
or in this case,
[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]
Rút gọn các biểu thức sau:
a,√3-2√2
b,√4-2√3
c,√8-2√7
d,√7-4√3
e,√11-6√2
(Tất cả các căn đều không cách)
a)3-2=1 b)4-2=2 c)8-2=6 d)7-4=3
Help plz. Brainlest and 5 stars and thanks if right :)
Answer:
c
Step-by-step explanation:
just look at 11 1/4, which is equals to 11 2/8. she recorded 3, and c is the only one which corresponds :) lmk if im wrong tho, the picture is kind of blurry
HELP!!!
I need to know if this is Function or not a function.
Answer:
Not a function
Step-by-step explanation:
Since x = 1 produces y = 3 and y = 4 , the relation is not a function.
( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )
The domain cannot be the same value.
Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer
Answer:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation:
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
for the value of Cos<c=
Answer:
1.732 is the value of cos C
Answer:
none of these
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos C = 4 sqrt(3)/ 5
cos C = 1.38564
If you could answer them all It would really be helpful PLEASE marking brainliest
Answer:
1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?
the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.
the standard formula (hi, first grade !) for the area of a rectangle is length×width.
that's it.
1.a.
the volume of an object regularity shaped like a silo is always ground area times height.
for this object we only need to imagine to stand the object up sideways on the triangle side.
and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).
so then, the triangle area is the ground area. and the original long side line of the object is is height.
as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.
so, we have here 6×4/2 = 6×2 = 12 m²
and now the ground area × object height = 12×8=96 m³
b.
the standard formula for the volume of a ball (hi, internet !) is pi×r³.
so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³
2a.
the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).
so, we use Pythagoras
c² = a² + b² (c being the Hypotenuse, a and b being the sides).
11² = 8² + h²
121 = 64 + h²
h² = 57
h = 7.55 cm
2b.
the standard formula for the volume of a cone (hi, internet !) is
pi×r²×h/3
pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³
Step-by-step explanation:
all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.
as there is really nothing to explain but just to use the standard formulas with the given numbers.
None of the multiple choice add up to 102 degrees any help?
Answer:
26
Step-by-step explanation:
Let x = the third angle in the triangle
x = 102 because they are vertical angles
The sum of the angles in the triangle are 180
b+2b+102 =180
3b+102 =180
3b = 180-102
3b = 78
Divide by 3
3b/3 = 78/3
b = 26
Answer:
Its is 26 aka E
Step-by-step explanation:
So we know that a triangle has 180 degrees in total. So we know one side is 102 degrees. 180-102=78. we can do 78 divide by 3 since there is 3b's in total. 78/3=26. Therefore, it is 26 which is E. I hope this helped ^^.
Identifying linear pairs and vertical angles
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.
Find x.
A. 4
B. 4√2
C. 2√2
D. 8
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 160-cm and a standard deviation of 1.2-cm. For shipment, 15 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 159.4-cm. P(M < 159.4-cm) = 0.3085 Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Rút gọn
Giúp em với ạ. em lm mãi ko ra
Answer:
Step-by-step 12explanation:
12
Answer:
Nhân đa thức đối xứng
(2[tex]\sqrt{3}[/tex] -4)/([tex]\sqrt{3}[/tex] -1) + (2[tex]\sqrt{2}[/tex] -1)/([tex]\sqrt{2}[/tex] -1) - (1+[tex]\sqrt{6}[/tex] )/([tex]\sqrt{2}[/tex] +3)
=(2[tex]\sqrt{3}[/tex] -4)([tex]\sqrt{3}[/tex] +1)/([tex]\sqrt{3}[/tex] -1)([tex]\sqrt{3}[/tex] +1) + (2[tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1)/([tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1) - (1+[tex]\sqrt{6}[/tex] )([tex]\sqrt{2}[/tex] -3)/([tex]\sqrt{2}[/tex] +3)([tex]\sqrt{2}[/tex] -3)
=3-[tex]\sqrt{3}[/tex] -2+4+[tex]\sqrt{2}[/tex] -1 +([tex]\sqrt{2}[/tex] -3+2[tex]\sqrt{3}[/tex] -3[tex]\sqrt{6}[/tex] )/7
= 2.900712176
Step-by-step explanation:
Find area of the cross section of the dam pictured below
Answer:
(w + h cotθ)hStep-by-step explanation:
Cross section is the isosceles trapezoid.
Area of trapezoid:
A = 1/2(a + b)hWe have one of the bases and the height.
Let the difference of the base lengths is x.
We have:
(x/2)/h = cot θ ⇒ x = 2h cot θThe area is:
A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)h4log10 2 − log10 48 + log10 300
Answer:
hello,
answer 2
Step-by-step explanation:
[tex]I\ note\ Log\ ,log_{10}\\\\4*Log(2)-Log(48)+Log(300)\\\\=4*Log(2)-Log(3*2^4)+Log(3*100)\\\\=4Log(2)-Log(3)-4Log(2)+Log(3)+2*Log(10)\\\\=2*1\\\\=2\\[/tex]
Answer:
the answer is easy
number 2 is the answer for this question
An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?
Answer:
36 ft²
Step-by-step explanation:
equilateral means all sides are equally long.
a triangle has 3 sides.
in our case they are all equally long.
and their sum (all 3 sides together) is the perimeter
P = 18 = 3 × side length
side length = 18/3 = 6 ft
a square with the same side length (6) had then an area of
side length × side length = 6×6 = 6² = 36 ft²
it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.
O Valor da incógnita b é:
2
3
4
5
Answer:
there are relationship between sides of two triangle
Step-by-step explanation:
if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3
which inequality is represented on the number line shown?
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answer:
Step-by-step explanation:
1 milli liter = 0.135 grams
182.8 ml = 0.135 * 182.8 = 24.678 grams
Answer:
24.678
Step-by-step explanation:
Hope this helps :)
HELP FAST Which solution shown bellow contains an error
Answer:
B
Step-by-step explanation:
in a diagram 0 is the centre of the circle and ABC=240
Question incomplete please add the diagram