Answer:
The answer is
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Step-by-step explanation:
x² - 5 = 0
Using the quadratic formula
That's
[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]Solve the equation
From the question
a = 1 , b = 0 , c = 5
So we have
[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]We have the final answer as
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Hope this helps you
Which phrase matches the algebraic expression below 2(x-7)+10
Answer:
The sum of a number and 7 multiplied by 2 is increased by 10
Step-by-step explanation:
can you help me find this ans
Answer:
28%
Step-by-step explanation:
100%-72%
=28%
So,about 28% of the earth surface is covered by dry land.
Answer = 28%
Explanation:
If 72% = water then dry land =
100% - 72% =
28%
please someone help me...
Answer: see proof below
Step-by-step explanation:
Use the following Sum Identities:
cos (A + B) = cosA · cosB - sinA · sinB
sin (A + B) = sinA · cos B - cosA · sinB
Use the Unit Circle to evaluate the following:
cos 30 = √3/2 sin 30 = 1/2
cos 45 = √2/2 sin 45 = √2/2
cos 120 = -1/2 sin 120 = √3/2
cos 240 = -1/2 sin 240 = -√3/2
cos 315 = √2/2 sin 315 = -√2/2
cos 330 = √3/2 sin 330 = -1/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \dfrac{\cos 285+\cos 345}{\sin 435-\sin 375}[/tex]
[tex]\text{Expand:}\qquad \quad \dfrac{\cos (240+45)+\cos (315+30)}{\sin (315+120)-\sin (330+45)}[/tex]
[tex]\text{Sum Identity:}\qquad \dfrac{\cos 240\cdot \cos 45-\sin 240\cdot 45+\cos 315\cdot \cos 30-\sin 315\cdot 30}{\sin 315\cdot \cos 120+\cos315\cdot \sin 120-(\sin330\cdot \cos45+\cos 330\cdot \sin 45) }[/tex]
[tex]\text{Unit Circle:}\quad \dfrac{(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{-\sqrt3}{2}\cdot \frac{\sqrt2}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{3})-(\frac{-\sqrt2}{2}\cdot \frac{1}{2})}{(\frac{-\sqrt2}{2}\cdot \frac{-1}{2})+(\frac{\sqrt2}{2}\cdot \frac{\sqrt3}{2)}-(\frac{-1}{2}\cdot \frac{\sqrt2}{2})-(\frac{\sqrt3}{2}\cdot \frac{\sqrt2}{2})}[/tex]
[tex]\text{Simplify:}\qquad \dfrac{-\sqrt2+\sqrt6+\sqrt6+\sqrt2}{\sqrt2+\sqrt6+\sqrt2-\sqrt6}\qquad =\dfrac{2\sqrt6}{2\sqrt2}\qquad =\sqrt3[/tex]
LHS = RHS: [tex]\sqrt3 = \sqrt3\qquad \checkmark[/tex]
Which expression means 9 less than twice n?
O A. 2n -9
B. 2 (n - 9)
C. 9 - 211
D. 9–2+n
E. (9 - 2)
Answer:
The answer is A, 2n - 9
Step-by-step explanation:
9 less than (-9) twice n (2n)
2n - 9
what is 123 round to the nearest hundered
123 rounded to the nearest 100 is 100
someone please help me
Find the coordinates of the midpoint of the segment given its endpoints. A(5, 8) and B(-1, -4)
Answer:
(2,2)
Step-by-step explanation:
(5+(-1))/2. (8+(-4))/2
4/2 4/2.
(2,2)
What is 3 3/5x(-8 1/3)=
Answer:-30
Step-by-step explanation:
Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast. At what location is the vessel in distress located? Describe how you arrived at your conclusion using compete sentences. You must show all work in order to receive credit.
The coordinates of Ship A and B are missing, so i have attached it
Answer:
The vessel in distress is located at the coordinate (1, 2)
Step-by-step explanation:
The coordinates attached shows that;
Coordinates of A are (3, 4) while that of B are (1, 1).
We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.
Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)
Name the decimal by writing it in word form
0.48
Answer:
forty-eight hundredths
Step-by-step explanation:
Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g over 24g plus 8g to the second power
Answer:
The least common denominator of the expression is 72g.
Step-by-step explanation:
First, let us write the expression out mathematically
[tex]\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}[/tex]
The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 24 = 24, 48, 72, 96, ...
The least common multiple of 9 and 24 is 72.
Then, the least common multiple of 72 and g is 72g
Hence, the least common denominator of the expression is 72g.
Pls help ASAP
→ What is 55/99 rounded to the nearest half? ←
A.) 0
B.) 1/2
C.) 1
D.) 1 1/2
==========================================
Explanation:
55 is close to 50
99 is close to 100
55/99 is close to 50/100 = 1/2
Using a calculator, 55/99 = 0.556 approximately which rounds to 0.5 = 1/2
Simplify (−8 + 8i) − (5 + 4i)
Answer: 13 + 12i
Step-by-step explanation:
Answer:
-13+4i
Step-by-step explanation:
(-8+8i)-(5+4i)
(-8+8i)-5-4i
-8+8i-5-4i
-8-5+8i-4i
-13+4i
solve the equation for x
2x+2(3x-8=32)
[tex]2x+2(3x-8)=32\\2x+6x-16=32\\8x=48\\x=6[/tex]distribute and collect like-terms
to make sure of the answer:
[tex]2x+2(3x-8)=32\\2(6)+2(3(6)-8)=32\\12+2(18-8)=32\\12+36-16=32\\12+20=32\\32=32[/tex]
what is the solution to this equation
x+8=-3
Answer:
x+8=-3.
x=-3-8.
x= -11.
Answer:
x=−11
Step-by-step explanation:
40% of one spig is a spoog. 25% of a speeg is a spoog. 70% of a speeg is a spug. what percent of 1 spig is 5 spugs?
Answer:
5 spugs is 560% of 1 spig
Step-by-step explanation:
a - spig
b - speeg
c - spoog
d - spug
40% of one spig is a spoog: 40%a = c
25% of a speeg is a spoog: 25%b = c
70% of a speeg is a spug: 70%b = d
what percent of 1 spig is 5 spugs?: x%a = 5d
40%a = c and 25%b = c
40%a = 25%b
[tex]b=\frac{40\%a}{25\%}=1.6a[/tex]
d = 70%b = 70%•1.6a = 112%a
x%a = 5d
x%a = 5•112%a
÷a ÷a
x% = 560%
find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )
Answer:
Below
Step-by-step explanation:
Let y' = mx + b be the equation of the second line
● m is the slope
● b is the y-intercept
The lines are parallel so they have the
same slope.
● y' = 3x + b
The second line crosses the point with the coordinates (2,11)
Replace y' by 11 and x by 2 to find b
● 11 = 3×2 + b
● 11 = 6 + b
Substract 6 from both sides
● 11 - 6 = 6 + b -6
● b = 5
So
● y' = 3x + 5
Find all the complex roots of the equation x4 − 16 = 0.
Answer:
4+16=0
4=−16=162
2=±4
Case 1 2=+4
=±2√
√=±(12√+12√)
=±2‾√+2‾√
Case 2 2=−4=43
=±23/2=±2()1/2
∵√=±(12√+12√)
=±(2‾√+2‾√)
So in all,
=2‾√+2‾√
=−2‾√+2‾√
=2‾√−2‾√
=−2‾√−2‾√
Let √=+
Squaring both sides, we have
=(+)2
0+1=2−2+2⟹
2−2=0(1)
2=1
=12
Plugging in (1) … ⟹
2−1(2)2=0
4=14
2=12
∴=±12‾√
∴=±12‾√
∴√=+=±(12+12)
This can also be shown as below
√=12+12
Or
√=−12−12 \
whats the area of the rectangle?
Answer:
24x^2-13x-2Step-by-step explanation:
Area of rectangle = Length ×Breadth
[tex]Length =8x+1\\Breadth = 3x-2\\\\A =\left(8x+1\right)\left(3x-2\right)\\\\=8x\times\:3x+8x\left(-2\right)+1\times\:3x+1\times\left(-2\right)\\\\=8\times\:3xx-8\times \:2x+1\times \:3x-1\times\:2\\\\=24x^2-13x-2[/tex]
-7x-11x>26-x+9x
Help plis
Answwer:
x<−1
Step-by-step explanation:
Pull out like factors :
-26x - 26 = -26 • (x + 1)
Divide both sides by -26
Remember to flip the inequality sign
Subtract 1 from both sides
x < -1
Hope it helped!!!
12. If f(5) = 20.58 and f(6)= 2.94
f(7) = __. f(8) = Recursive Function:
Answer:
What's the answer
Step-by-step explanation:
The recursive function f(7) is = 7.f(8).
What is a recursive function ?A recursive function is a form of arithmetic or geometric sequence which repeats.
According to the given question f(5) = 20.58 and f(6) = 2.9.
Given it is a recursive function so it could be in form of arithmetic sequence or geometric sequence.
We have asked f(7) is how many times of f(8) from here we can conclude that it is in the form of geometric sequence.
f(5) = 20.58 and f(6) = 2.94 so the common ratio of n/(n-1) is
= 20.58/2.94
= 7.
Or we can say that f(5) is 7 times of f(6) which is 7.f(6) = f(5).
∴ f(7) = 7.f(8) = (1/7)f(6) = 0.42.
learn more about recursive function here :
https://brainly.com/question/23896867
#SPJ2
The area of a blackboard is 1 1 third square yards. A poster's area is 8 over 9 square yards. What is the unit rate of the blackboard's area to the poster's area?
Step-by-step explanation:
Given that,
The area of a blackboard is [tex]1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2[/tex]
The area of poster is [tex]\dfrac{8}{9}\ \text{yards}^2[/tex]
We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.
So,
[tex]\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5[/tex]
So, the rate of [tex]1.5\ \text{yard}^2[/tex].
A river discharges 4 x 106 cubic feet of water into the
Pacific Ocean each second. There are 86,400 seconds in
one day. To find the amount of water discharged each day,
a scientist multiplied 4 x 106 by 86,400 on his calculator.
The display showed:
3456E+14
Explain what 3.456E + 14 means.
OA) 3.456^14
OB) 3.456 *10^6
OC) 3.456 x 10^14
OD) 3.456 x 10^-14
Answer:
C
Step-by-step explanation:
Here, we want to know what what the display on the calculator means.
Well, the expression has to do with how scientific calculators display powers of 10.
So what this means is that the value 3.456 is raised to the power of 14.
This is a way in which the screen of the scientific calculators maximizes the space on their screens.
Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?
So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27
This makes our answer C
Kindly note that the + sign indicates that the power of the 10 is positive 14.
how many square feet of grass are there on a trapezoid field with a height of 75ft. and bases of 125ft. and 81ft?
formula: A=h(b1+b2/2)
Answer:
area= 7725
Step-by-step explanation:
A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area is 7725 square feet
Leon and Cisco are each making snack mix. Leon’s recipe calls for 8 parts pretzels to 3 pets peanuts. Cisco’s recipe calls for 6 parts pretzels to 2 part peanuts. Which recipe has higher concentration of peanuts? ASAP 15 pts +brainliest!
Answer:
Leon's
Step-by-step explanation:
Since we're interested in peanuts, we can rewrite the ratios with peanuts first:
L: peanuts : pretzels = 3 : 8
C: peanuts : pretzels = 2 : 6 = 1 : 3 = 3 : 9
Leon's recipe has a higher proportion of peanuts. (3/8 > 3/9)
The ratio of the profit, cost of materials and labour in the production of an article is 5:7:13 respectively. If the cost of materials is Le 840 more than that of labour, find the total cost of producing the article
Answer:
Total cost is 2,800
Step-by-step explanation:
The given ratio 5:7:13 represents profit to cost of materials to labour.
However it is stated that cost of materials is Le 840 more than that of labour
Cost of material - 840 = labour
Cost of material = labour - 840
Let
Cost of material be x, and labour be y
x ÷ y = 7 ÷ 13 (equation 1)
x = y - 840 (equation 2)
Substitute x from equation 1 in equation 2
(y - 840) ÷ y = 7 ÷ 13
13 (y -840) = 7y
y = 1,820
Substitute value of y in equation 2
x = 1820 - 840
x = 980
So total cost is cost of material plus cost of labour = 980 + 1820 = 2,800
This will satisfy the ratio of 5:7:13 representing profit to cost of materials to labour
pleas help me Solve- 8/0.5
Answer:
The answer to the question is -16.
Answeryou should get 16 as uyour answer
Step-by-step explanation: i hope it helps :)
plus u have to simplfy if necssary
Write 2x+4y=8 slope intercept form (solve for y)
Answer:
[tex]\boxed{y=-\frac{1}{2}x+2}[/tex]
Step-by-step explanation:
[tex]2x+4y=8\\\\2x-2x+4y=8-2x\\\\4y=8-2x\\\\\frac{4y=8-2x}{4}\\\\y=2-\frac{2}{4}x\\\\ y=2-\frac{1}{2}x\\\\\boxed{y=-\frac{1}{2}x+2}[/tex]
Hope this helps.
Answer:
y=4-x/2
Step-by-step explanation:
Name three collinear points.
Type your answer as follows:
Answer:
A, B, E
Step-by-step explanation:
Three or more points are said to be collinear, if they lie on a single straight line
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 920 feet of fencing available, what is the maximum possible area of the pasture
Answer:
Max Area = 105,800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
920/4 = 230 feet
So, we want a square 230 ft by 230 ft
however, from the question, we are to use the creek as one side. So, we'll take the 230 ft that we don't need because of the creek and then add it to the opposite side to get 230 + 230 = 460 ft.
Thus,we now have a rectangle with dimensions: 230 ft by 460 ft
Area is given by;
area = length × width
Maximum Area = 230 × 460
Max Area = 105,800 sq.ft