Answer:
y = 3/2 x - 11
Step-by-step explanation:
Recall that a perpendicular line to the expression:
2 x + 3 y = 15
3 y = - 2 x + 15
y = - 2/3 x + 15/3
is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.
We use this value in a general point-slope form of a line, where we use the point (2, -8) :
y - (-8) = 3/2 (x - 2)
y + 8 = 3/2 x - 3*2/2
y + 8 = 3/2 x - 3
y = 3/2 x - 3 - 8
y = 3/2 x - 11
Megan has a case shaped like a right prism. She knows that the area of the base of the case is 16 in and the volume of the case is
352 in
What is the height of Megan's case?
O 17 in
22 in
27 in
32 in
Answer:
22 in
Step-by-step explanation:
volume of a right prism = area of base x height
Given:
volume = 352 in³area of base = 16 in²⇒ 352 = 16 × height
⇒ height = 352 ÷ 16
⇒ height = 22 in
Height be x
Volume=Area of base×height[tex]\\ \rm\rightarrowtail 16x=352[/tex]
[tex]\\ \rm\rightarrowtail x=352/16[/tex]
[tex]\\ \rm\rightarrowtail x=22[/tex]
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BRECMBC9 13.11.024.
Calculate the finance charge (in $) and the annual percentage rate for the installment loan by using the
Amount Number of Monthly
Finance
Financed Payments Payment
Charge
APR
$100,000
72
$2,045.50
$
X
* %
Submit Answer
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what is your question ?
i don't understand
A vehicle purchased for $32,500 depreciates at a constant rate of 5%. Determine the approximate value of the vehicle 12 years after purchase
Answer:
19,2000
Step-by-step explanation:
15/20 + 12 /20 = 27/20 =
Answer:
1 7/20
Step-by-step explanation:
So, you added the 15/20 and 12/20 to get 27/20
Then to simplify 27/20 you have to see how many times 27 can go into 20
27 can go into 20 with a remainder of 7 which then will lead you to the answer of 1 7/20 and you can't simplify it anymore.
Hopefully, that helps.
Prove triangle congruence.
Answer:
Step-by-step explanation:
Which is the product of (x^2- x + 9)(x – 3)?
9514 1404 393
Answer:
x^3 -4x^2 +12x -27
Step-by-step explanation:
Use the distributive property.
= (x^2 -x +9)(x) +(x^2 -x +9)(-3)
= x^3 -x^2 +9x -3x^2 +3x -27
= x^3 -4x^2 +12x -27 . . . . . collect terms
These points are linear.
Find the slope.
x0 |1 |2|3|4|5
y|0|2|4|6|8|10
slope = [?]
Answer:
Step-by-step explanation:
x₁ = 0 ; y₁=0 &
x₂ = 1 ; y₂=2
Slope =[tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{2-0}{1-0}\\\\\\=\dfrac{2}{1}\\\\\\= 2[/tex]
Slope = 2
A country’s population in 1991 Was 211 million in 1998 it was 215 million estimate the population in 2012 using the exponential growth formula
Answer:
The population in 2012 is estimated in approximately 223 million people
Step-by-step explanation:
Exponential Growth
The formula for exponential growth of a variable P at the growth rate r, as time t goes on in discrete intervals, or at integer times 0, 1, 2, 3, ..., is :
[tex]\displaystyle P(t)=P_0(1+r)^{t}[/tex]
Where Po is the value of P at time 0.
The country’s population in 1991 was 211 million, and in 1998 it was 215 million. We have two discrete times to define the equation and set the year 1991 as t=0. Thus, the year 1998 is t=7.
The preliminary equation is:
[tex]\displaystyle P(t)=211(1+r)^{t}[/tex]
To find the value of 1+r, we use the second point (7,215):
[tex]\displaystyle 215=211(1+r)^{7}[/tex]
Dividing by 211:
[tex]\displaystyle \frac{215}{211}=(1+r)^{7}[/tex]
Solving:
[tex]\displaystyle (1+r)=\sqrt[7]{\frac{215}{211}}[/tex]
Calculating:
[tex](1+r)=1.002686[/tex]
The complete equation is:
[tex]\displaystyle P(t)=211(1.002686)^{t}[/tex]
Estimate the population in 2012 (t=21):
[tex]\displaystyle P(21)=211(1.002686)^{21}[/tex]
[tex]P(21)\approx 223[/tex]
The population in 2012 is estimated in approximately 223 million people
need help asap Write the equation of a line passing through the points(-6, -2) and (4, -12) in slope intercept form
Answer:
y=-1x-8
Step-by-step explanation:
The Boy Scouts had a car wash to raise money for summer camp. They washed an average of 12 cars per hour. If the car wash lasted 6 ½ hours, how many cars did they wash?
Answer:
78
Step-by-step explanation:
A car travels 568km in 8 1/2 hours. What is the average speed in meters/second?
Answer:
The speed would be 60kph
60/60=1
Step-by-step explanation:
60x24=1,440
It would at a speed of 1,440km per day.
In a year it would go 525,600 km.
Every nanosecond it would go 0.0001 cm.
suppose the height of the members of a population follow its normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 in, 68% of the population would have a height within which range? NO LINKS!!!
Answer:
○ B. [tex]\displaystyle 69\:inches\:to\:75\:inches[/tex]
Explanation:
The Empirical Rule states that sixty-eight percent of the population will be within one standard deviation of the mean in height. Therefore, you perfourm the operations below:
[tex]\displaystyle \boxed{75} = 3[1] + 72 \\ \boxed{69} = -3[1] + 72[/tex]
I am joyous to assist you at any time.
Find upper range and lower range by adding and subtracting standard deviation respectively.
Lower range
Mean-Standard deviation72-369Upper range:-
Mean+standard deviation72+375Option B is correct
select the digit in the thousands place for 689,234
Answer:
the answer to thus question is 9
Answer:
9
Step-by-step explanation:
1,000
fourth digit every time, unless a number is a decimal,
please help me figure out how to solve the problem below:
the problem below is asking how to find the surface area of the cylinder. please leave an explanation on how to solve it.
formula: 2(3.14)(r)^2 + 2(3.14)(r)
r: radius
Answer:
3315.84mm^2.
Step-by-step explanation:
We calculate the diameter of the base of the cylinder using Pythagoras:
40^2 = d^2 + 32^2
d^2 = 40^2 - 32^2 = 576
d = sqrt 576 = 24 mm.
So the radius = 1/2 diameter = 12 mm.
The surface area
= 2(3.14)(12)^2 + 2(3.14)(12)(32)
= 904.32 + 2411.52
= 3315.84.
Find the midpoint of the line segment joining the points R(-5,3) and S(1.6)
Answer:
(-2, 4.5)
Step-by-step explanation:
The midpoint formula is [tex](\frac{x_{1} +x_{2}}{2} ,\frac{y_{1} +y_{2}}{2})[/tex]
(-5+1/2, 3+6/2)
(-4/2, 9/2)
Your answer will be (-2, 4.5)
A circle with a diameter of 10 inches has a circumference of a square, what is the length of each side of the square?
The circumference is πd, and the diameter is 10, so the circumference is 10π. All sides of a square are equal, so the length of each side is 10π/4, which is 2.5π.
The length of each side of the square is 2.5π
In women's softball the pitcher stands about 13 meters from the batter's box. In men's softball the pitcher stands about 1,400 centimeters from the batter's box. About how many more centimeters is it from the men's pitcher to the batter's box than from the women's pitcher to the batter's box?
Answer:
About 100 centimeters.
Step-by-step explanation:
1,400 - (13 * 100) = 100
select the digit in the thousands place for 689,234
Answer: the answer would be 9!
Step-by-step explanation:
if the number started with 9, it would be 9,234, which reads nine thousand two hundred thirty-four.
hope this helps :)
Answer:
The remaining number in thousands units is 9
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
A point has the coordinates (m, 0) and m ≠ 0.
Which reflection of the point will produce an image located at (0, –m)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Therefore the reflection of the point (m,0)and m≠0 will produce an image located at (0,-m) when reflection occurs across the line y=(-x).
Answer:
a reflection of the point across the line y = –x
Step-by-step explanation:
Let m = 5.
Graph (5, 0).
Then graph (0, -5).
Then draw the line y = -x.
You will see that the line y = -x is the axis of symmetry for the two points.
Answer:
a reflection of the point across the line y = –x
THIS IS URGENT. PLEASE HELP. given AC=30, find the value if x, and the length of BC
Answer:
The value of x is 4.8. The length of BC is 14.6.
Step-by-step explanation:
I combined the two expressions 3x+1 and 2x+5 to 5x+6=30
1. I subtracted 6 from 6 and 30 in the equations.
2. I was left with 5x=24
3. I then divide 5 from 5x and 24
4. I got x=4.8
To get the length of BC
2x+5
1. I multiplied 2×4.8
2. I got 9.6
3. I then add 5 to 9.6
4. I finally get the answer 14.6 which is the length of BC
Answer:
[tex]\overline{BC}=14.6[/tex]
Step-by-step explanation:
we know that
[tex]\overline{AC}=\overline{AB}+\overline{BC}[/tex]
so
[tex]30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8[/tex]
and now we solve for BC
[tex]\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6[/tex]
so that's our answer
Simplify the expression below.
(x6)(x2)
A. x4
B. x6
C. x8
D. x12
Answer:
C. X8
Step-by-step explanation:
correct me if im wrong
Answer:
See below.
Step-by-step explanation:
The answer would be x^8.
When multiplying exponents, you add them, rather than actually multiplying.
-hope it helps
The table shows the deposits, withdrawals, and balance of Rachel's bank account for a particular week. As of the end of Monday, the balance was $140. Some transactions are missing.
Which statements beta describe the transactions in Rachel’s account ? Select ALL that apply .
1) On Friday , $40 was deposited in the account
2) On Thursday , the account balance was -$40
3) On Tuesday , $35 was deposited in the account
4) On Friday , the amount deposited was more than $40
5) On Wednesday, no money was withdrawn from the account .
Please help ASAP .
Answer:
1 3 5
Step-by-step explanation:
hey peeps help with this
Soccer cleats cost $45.52 per pair. How much will it cost for four pairs?
Answer:
182.08
Step-by-step explanation:
A(n) ____________ is a metric unit used to measure mass.
A) liter
B) inch
C) meter
D) gram
35 % as a decimal rounded to the nearest thousandths place
Answer:
Enter any decimal value and get the number rounded to its nearest thousandths in ... Step 2: Now, look at the digit, which is next to the thousandth place.
The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle
Step-by-step explanation:
use the above picture as a reference and solve
Answer:
36°
Step-by-step explanation:
So, the angle measure of x+15 is 36 because x = 21
The angle measure of 3x-9 is 54, but this is bigger than the one before.
So, the smallest angle is 36
Please give the other person brainliest cause they deserve it more than me.
In a probability histogram, there is a correspondence between?
Natalie painted three portraits of a 15 minutes at that rate how many would she paint in 10 minutes
Answer:
2 portraits
Step-by-step explanation:
since she painted 3 in 15 minutes, it means that she took 5 minutes on each portrait. If Natalie were to paint portraits for 10 minutes she would paint 2 portraits
3p in 15min = 1p in 5min = 2p in 10min
z=6-3i=
Re(z)=
Im(z)=
Given a complex number z = a + b i, the real part is Re(z) = a and the imaginary part is Im(z) = b.
So given that z = 6 - 3 i, we have Re(z) = 6 and Im(z) = -3.