Answer:
2.4*10^4
Step-by-step explanation:
write in scientific notation
first i would simplify the 3.6/1.5
=2.4
then you get (2.4*10^7)/10^3
formula: (m^x)/(m^y)= m^(x-y)
(2.4*10^7)/10^3
=2.4*10^(7-3)/1
=2.4*10^4
Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form
Answer:
y = -3/2x + 2
Step-by-step explanation:
Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.
y = 2/3x + 8 becomes
2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.
2 = 0 + b
b = 2
So put the whole equation together
y = -3/2x + 2
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
question and options are in the picture!
The zoo expected to have 120,000 visitors last year. They
actually had 110,000 visitors. Determine the percent of
error. (Round to the nearest tenth of a percent, if necessary.)
A) 8.3%
B) 9.1%
C) 91.7%
D) 109.1%
Find the value of x.
Answer:
Value of [tex]x=-12[/tex]
Step-by-step explanation:
The given triangle is isosceles
Here
[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]
[tex]m∠2+m∠2+36⁰= 180°[/tex]
[tex]2m∠2 = 144°[/tex]
[tex]m∠2 = 72⁰[/tex]
[tex]x +84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x= -12[/tex]
Given: 3(7x-9)-19x=-15
Prove: x=6
Step-by-step explanation:
3(7x-9)-19x = -15
21x-27-19x = -15
2x-27 = -15
2x = -15+27
2x = 12
x = 6
prove x = 6
Substitute x=6 into the equation.
3(7(6)-9)-19(6) = -15
3(42-9)-114 = -15
3(33)-114 = -15
99-114 = -15
-15 = -15 True✓
PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.
i have a very hard question,
what is 1+2
please help asap
Answer:
The answer is 3.
Step-by-step explanation:
For which value of x does each expression make sense
[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]
Find the slope of the line containing the points (3,2) and (6,9).
Answer:
7/3
Step-by-step explanation:
A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.
Answer:
4000 sqft
Step-by-step explanation:
you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft
Please help, I don't know how to get all the angle measurements.
Answer:
Step-by-step explanation:
From the markings p and q are opposite equal sides. That means that p = q
Since = 24 then q must also be 24
r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q
r = p + q But p and q are both equal
r = 24 + 24
r = 48
From the markings r and s are opposite equal sides. That means that r and s are equal.
s = r
s = 48
t is another exterior angle. It is = to the sum of the two interior angles
so t = r + S
t = 48 + 48
t = 96
please help me with this
Answer: 3Z
Step-by-step explanation:
Which of the following is equivalent to the expression below? (2^5)(2^6)
(A) 2^11
(B) 2^30
(C) 4^11
(D) 4^30
Answer:
(A) 2^11
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answer:
y= 1/3x + 3
Step-by-step explanation:
ophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x. Words Minutes 9595 1010 114114 xx You must answer all questions above in order to submit. attempt 1 out of 2 Christopher Vargas Tables of Equivalent Ratios (Guided) Dec 10, 9:21:57 AM Watch help video Sophia can text 95 words in 10 minutes. At this rate, how many minutes would it take her to text 114 words? Fill out the table of equivalent ratios until you have found the value of x.
Answer:
12 minuts
Step-by-step explanation
If you divide 95 by ten you get 9.5, and 9.5 to 95 and you get 104.5 and it is 11 minuts. add it again and you are at 114 words and it is 12 minuts.
How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches Explain how you got there.
Answer:
24 screeches = 20 meows.
Step-by-step explanation:
Calculate purrs:
12/3 = 4
4*2= 8
Use purrs to calculate screeches:
Set up a proportion: [tex]\frac{8}{x} = \frac{40}{120}[/tex]Solve proportion by cross-multiplying8*120 = 960960/40 = 24 screeches0.517 converted into a percent
Answer:
51.7%
Step-by-step explanation:
Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.
y = 6x - 4 when x = -7
Answer:
It's - 28
Step-by-step explanation:
6*-7=-42-4=-28
Answer:
y is -46
Step-by-step explanation:
y= 6x -4 ....means
y =6 *x -4......so replace x with -7
y = 6*-7 -4
y=-42 -4
y= -46
What is the slope-intercept equation for the line below?
5
(5.4)
(0, 2)
y
O A. - - x + 2
B. yo * +2
C. v - -** +2
D. v=x+2
HELP?!!!!
Answer:
[tex]y=\frac{2}{5}x+2[/tex]
Step-by-step explanation:
(x1, y1) = (5, 4)
(x2, y2) = (0, 2)
First, find the slope. The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the 2 points above in that form, so you can plug those in here:
[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]
The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the slope we found for m and whichever point you want for (x, y):
[tex]2=\frac{2}{5}0+b[/tex]
Now, solve for b:
[tex]2=0+b\\b=2[/tex]
In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.
Finally, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{2}{5}x+2[/tex]
Determine the range values for x
the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?
plz its urgent
Answer:
The ratio of their radius is [tex]2:3[/tex]
Step-by-step explanation:
Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height
We have
The heights of two cylinders are in the ratio of [tex]5:3[/tex]
[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]
The volume are in the ratio [tex]20:27[/tex]
[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]
The ratio of their radius is [tex]2:3[/tex]
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
Jordan invests £16200 into his bank account.
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
18225
Step-by-step explanation:
16200*0.025*5=2025
2025+16200 = 18225
Will someone give me explanation of this question below??
[tex]show \: that \: function \: y = ax+ {2a}^{2} \: is \: a \: solution \: of [/tex]
[tex]the \: differential \: equation[/tex]
[tex] 2( \frac{dy}{dx})^{2} + x ( \frac{dy}{dx} ) - y = 0 \\ [/tex]
Note: Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know
Thank You!
If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:
2 (dy/dx)² + x dy/dx - y = 0
2a² + ax - (ax + 2a²) = 0
0 = 0
This is of course true, so y = ax + 2a² is indeed a solution to the given equation.
Slope= -1/2 Y-intercept =4
Answer:
no I'm pretty sure it's wrong
Step-by-step explanation:
the y intercept for that to right us -4
identify the median of 15-18
Factor completely.
121x^2 – 144
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
pllzz help i'll give brainliest
Answer:
Triangle 20, 30, and 15 will create a triangle
Step-by-step explanation:
In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side
5+3 < 9 so it does not work
15+20>30 so it does work
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .