Answer:
7i/sqrt(2)
Step-by-step explanation:
so, if I understand correctly, the equation is
(22-16)(2x² + 49) = 0
6(2x² + 49) = 0
that automatically means
2x² + 49 = 0
2x² = -49
x² = -49/2
x = sqrt(-49/2)
a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.
so, we get
x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)
What is the slope of a line that is perpendicular to the line: -4x + 6y = -1 ?
A. -3/2
B. -2/3
C. 1/4
D. 3/2
Will give brainliest to the first person who answers
Answer:
z =86
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior angles
z + z-39 = z+47
2z-39 = z+47
Subtract z from each side
z-39 = 47
Add 39 from each side
z = 47+39
z =86
The given information is,
To find the required value of z.
Property we use,
The exterior angle of a triangle is the sum of the opposite interior angles.
Now we can get the value of z,
→ z + z-39 = z + 47
→ 2z-39 = z + 47
→ 2z -z = 47 + 39
→ z = 47 + 39
→ [z = 86]
Thus, the required value of z is 86.
Find the slope of (3,-24)(19,-48)
Answer:
-3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
= (-48- -24)/(19 -3)
= (-48+24)/(19-3)
= -24/16
= -3/2
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]
Substitute into slope formula:
[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]
Which r-value represents the weakest correlation?
–0.75
–0.27
0.11
0.54
Answer:
0.11
Step-by-step explanation:
Strongest correlation:
The strongest correlations happen for [tex]r = -1[/tex] and [tex]r = 1[/tex], that is, when r has the higher absolute value.
In this question:
The value of r with the lowest correlation is the one with the lowest absolute value(absolute value of -0.75 is 0.75 for example), so it is 0.11, which is the answer.
Answer:
it's C on edg
Step-by-step explanation:
.11
The wind is blowing opposite to leg AB. Given the fact that you’re traveling in a wind-powered boat, which leg of the course will take you the longest? Why? (4 points)
Answer:
The leg of the course that will take longest is from A to B
The reason is that the leg of the course, A to B is slowed by the wind
Step-by-step explanation:
The direction of the wind is opposite to leg AB
The starting and finishing point is point A, and the course is from A to B to C and back to point A
The leg of the course that will take the longest is course in which th motion is against the wind which is from B to A
The motion from B to C and from C to A are partly in the wind ward direction, because the wind would be behind the sales and will therefore be aided by the wind, leading to rapid motion
However, the starting motion on the leg from A to B is opposite the wind and will be slowed down by the wind, and would therefore, take the longest.
Find the value of x that makes m
n.
m
n
(180 - x)^
Answer:
x=180-x
2x=180
x=90
Step-by-step explanation:
There are 25 rows of seats in the high school auditorium with 20 seats in the first row, 21 seats in the second
row, 22 seats in the third row, and so on. How many total seats are in the auditorium?
OA) 800 seats
OB) 860 seats
Answer:
A) 800 seats
Step-by-step explanation:
Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.
The sum of an arithmetic sequence is given by:
[tex]S_n=n\left(\frac{a_1+a_n}{2}\right)[/tex], where [tex]n[/tex] is the number of terms, [tex]a_1[/tex] is the first term, and [tex]a_n[/tex] is the last term
Therefore, substituting [tex]a_1=20[/tex], [tex]a_n=44[/tex], and [tex]n=25[/tex], we get:
[tex]S_n=25(\frac{20+44}{2}),\\s_n=25\cdot 32=\boxed{800}[/tex]
Evaluate 4x-2 when x = 5.
A. 18
B. 12
C. 43
O D. 22
Answer:
A: 18
Step-by-step explanation:
1. 4(5) - 2
2. 20 - 2
3. 18
One circle has a circumference of 12 pie Another circle has a circumference of 32 pie What is the ratio of the radius of the smaller circle to the radius of the larger circle?
Answer:
3 : 8
Step-by-step explanation:
The ratio of the radii is equal to the ratio of the circumference, then ratio is
12π : 32π ( divide both parts by 4π )
= 3 : 8
Complete the equations below. 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths} hundredths start text, space, h, u, n, d, r, e, d, t, h, s, end text 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals
Answer:
[tex]1.86 \div 2 = 0.93[/tex]
Step-by-step explanation:
The correct form of the question is:
Complete the equations below.
[tex]1.86 \div 2 =[/tex]
Required
Solve
Start from left to right
[tex]1 \div 2 = ??[/tex] --- this will give a fraction.
So, we append the next digit
[tex]1.8 \div 2 = 0.9[/tex]
Next:
[tex]0.06 \div 2 = 0.03[/tex]
Bring the results together:
[tex]1.86 \div 2 = 0.9+ 0.03[/tex]
[tex]1.86 \div 2 = 0.93[/tex]
What should be done first to evaluate the expression?
4 + 8 ÷ 4 - 2 × 5
Add 4 and 8.
Divide 8 by 4.
Subtract 2 from 4.
Multiply 2 by 5.
Divide 8 by 4
Because is PEDMAS, division comes first.
Answer:
divide 8 by 4
Step-by-step explanation:
PEMDAS or BODMAS
Solve for the triangle: ABC
A: 90 degrees
B: 6 feet
C: 10 feet
Literally what is this lol
Answer:
i think the first one- bc it should be 11x5pi but it would still end up as 55pi
Step-by-step explanation:
sorry if that doesnt help
solve for x. round to the nearest tenth of a degree, if necessary.
x=30°
Answer:
Cos x°=adjacent/hypotenuse
Cos x°=45/52
x°=Cos-¹(45/52)
x°=30°
Simplify. 1224√
THIS IS A KEYSTONE ALGEBRA THING LOL
Answer:
6[tex]\sqrt{34}[/tex]
Step-by-step explanation:
[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]
A ball is dropped from a height of 9 feet and allowed to bounce. Each time the ball bounces, it reaches a height that is23the height of the previous bounce. How many times will the ball be exactly 3 feet above the ground?
I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".
We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.
The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)
Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.
9*(2/3)^(n-1) = 3
(2/3)^(n-1) = 3/9
(2/3)^(n-1) = 1/3
log[ (2/3)^(n-1) ] = log(1/3)
(n-1)*log(2/3) = log(1/3)
(n-1)*(-0.17609) = -0.47712
n-1 = (-0.47712)/(-0.17609)
n-1 = 2.7095235
n = 2.7095235+1
n = 3.7095235
Unfortunately we don't get a whole number. We can see that the terms of the sequence are:
9, 6, 4, 2.667
Each term is found by multiplying 2/3 by the previous term.
We don't land exactly on "3". The closest we get is 2.667 approximately.
So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.
please help. i need this done today
Answer:
herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final
Which statement are true regarding the diagram?
Answer: 2,4 are definite answers i don't know abt the others- unfortunately..
Step-by-step explanation: Im in mid school..
Please help me!!! I need to finish soon
Answer:
S=47.1cm (to 3s.f.)
Step-by-step explanation:
To find the arc length, S, use the formula S=radius x angle(in radians)
S=10x 3pi/2
=47.1cm (to 3s.f.)
Viết khai triển theo công thức nhị thức Niu-tơn (x + 1) ^ 5
Answer:
x^5+5x^4+10x³+10x²+5x+1
Step-by-step explanation:
Problem 5
The sum of the first ten terms of an arithmetic progression consisting of positive integer terms is equal to the sum of the 20th, 21st and 22nd term. If the first term is less than 20, find how many terms are required to give a sum of 960.
Answer:
The answer is 15.
Step-by-step explanation:
Combine and simplify the following radical expression.
Answer:
[tex]24 \sqrt{5} [/tex]Step-by-step explanation:
[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]
[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]
[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]
[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]
[tex] = 24 \sqrt{5} (ans)[/tex]
Answer:
[tex]\huge\boxed{24\sqrt5}[/tex]
Step-by-step explanation:
[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]
[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]
Helpppppp plssssss ! Click the image
For each function, state whether it is linear, quadratic, or exponential.
Answer:
Step-by-step explanation:
Table for function 1,
x y Difference 1 Difference 2
2 10 - -
3 1 1 - 10 = -9 -
4 10 10 - 1 = 9 9 - (-9) = 18
5 37 37 - 10 = 27 27 - 9 = 18
6 82 82 - 37 = 45 45 - 27 = 18
Since, difference 2 is common as 18,
Table will represent a quadratic function.
Table for function 2,
x y Difference 1 Difference 2
5 16 - -
6 19 19 - 16 = 3 -
7 28 28 - 19 = 9 9 - 3 = 6
8 43 43 - 28 = 15 15 - 9 = 6
9 64 64 - 43 = 21 21 - 15 = 6
Since, difference 2 is common as 6,
Table will represent a quadratic function.
Table for function 3,
x y Ratio
1 112 -
2 56 56 ÷ 112 = [tex]\frac{1}{2}[/tex]
3 28 28 ÷ 56 = [tex]\frac{1}{2}[/tex]
4 14 14 ÷ 28 = [tex]\frac{1}{2}[/tex]
5 7 7 ÷ 14 = [tex]\frac{1}{2}[/tex]
Since, ratio is common as [tex]\frac{1}{2}[/tex].
Table will represent an exponential function.
what is (2x9)- (15 divided by 3)
Answer:
13
Step-by-step explanation:
We can simplify it:
(2x9)-(15/3)
(18)-(5)
18-5
13
Can someone help me with this math homework please!
Dave has been running every day to get
in shape for the track season. He wants
to determine his average rate.
Dave learned the following formula in his
science class:
d = r.t
where
d = distance
r = rate
t = time
Answer:
r = d/t
Step-by-step explanation:
Given:
d = r * t
where,
d = distance
r = rate
t = time
Rewrite the equation to determine Dave's rate
d = r * t
d = rt
Divide both sides by the
d / t = rt / t
d / t = r
r = d/t
Average rate, r = d/t
Find DC, given that line AD is the angle bisector of < CAB.
Answer:
8
Step-by-step explanation:
LINE DC =BD
because line AD is a bisector of CAB
Dividing line CAD into two equal half's
16:32:12
Which linear inequality is represented by the graph?
O x < 2 x + 3
Oy> x+3
O y>x+3
O y<{x+3
-3 -2 -1
The linear inequality that represents the graph is y > (2/3)x + 3.
Option C is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
y < (2/3)x + 3
y > (3/2)x + 3
y > (2/3)x + 3
y < (3/2)x + 3
The graph is on the positive side of the y-coordinate so,
We can consider:
y > (3/2)x + 3
y > (2/3)x + 3
Now,
Plotting in a graph we see that,
We need to have the y-intercept at y = 3 and the x-intercept at x = 4.5.
So,
y > (2/3)x + 3 satisfied.
Thus,
y > (2/3)x + 3 represents the graph.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
help me with this math question
Step-by-step explanation:
Option D
As time increases, the temprature of soup decreases..
hope it helps
