Answer:
angle = 67°
Step-by-step explanation:
let
a = angle in degrees
(90-a) = complement
given
a = 2(90-a)+21
Solve for a
a = 180 - 2a + 21
3a = 201
a = 67°
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP
Answer:
x = 30 ml of 10%
50 - x = 20 ml of 15%
Step-by-step explanation:
0.10x + 0.15(50 - x) = 0.12(50)
distribute
0.10x + (7.5 - 0.15x) = 6
Combine like terms
-0.05x = -1.5
Divide both sides by -0.05
x = 30 ml of 10%
50 - x = 20 ml of 15%
What is the image point of (0,1) after the transformation D4 R90?
Please and thank you
Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
which choice belongs in space number 4
Answer: The answer is the 4th choice.
This shows that the line AC divides BC into equal parts showing that BC = CD
What is bisection of a line?Bisection simply means dividing the section of a line into two parts.
From the given proof shown, we can see that the proof shows that the line AC bisects the line BD at point C.
This shows that the line AC divides BC into equal parts showing that BC = CD
Hence the expression that proves the bisection is BC = CD
Learn more on bisection here: https://brainly.com/question/25770607
#SPJ6
Let x be a continuous random variable over [a,b] with probability density function f. Then the median of the x-values is that number m for which ModifyingBelow Integral from a to m f (x )font size decreased by 6 dx With font size decreased by 4equalsone half . Find the median. f(x)equalsk e Superscript negative kx, [0,infinity)
Answer:
The answer is "[tex]\int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]".
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\f(x)=ke^{-kx}, \ [0, \infty]\\\\[/tex]
let m is the median
[tex]so,\\\\ \int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\\to \int^m_0 k\cdot e^{-kx}=\frac{1}{2}\\\\\to [\frac{k\cdot e^{-kx}}{-k}]^m_0=\frac{1}{2}\\\\\to [- e^{-kx}]^m_0=\frac{1}{2}\\\\\to - e^{-km} +1=\frac{1}{2}\\\\\to e^{-km} =\frac{1}{2}\\\\\to e^{km} =2\\\\\to \ln(e^{km}) =\ln 2\\\\\to km= \ln \ 2\\\\\to m=\frac{\ln \ 2}{k}\\\\ \text{the answer is: } \\\\ \to \int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]
4.5c=9
C=
Pls help me
Answer:
c =2
Step-by-step explanation:
4.5c/4.5=9/4.5
c =2
Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minus, 8, right parenthesis and (8,5)(8,5)left parenthesis, 8, comma, 5, right parenthesis. Use exact numbers. y=y=y, equals
Answer:
y=13/4 x -21
or in khan 13/4x - 21
GIMMIE BRAINLIEST OR SOMETHING
Work:
Slope = 5-(-8)/(8-4)
=13/4
So the equation is y=13/4x + b
plug it in and the equation is
y=13/4 x -21
Answer:
13/4 x-21
Step-by-step explanation:
:D
Please help me figure out this problem
Answer:
There was no van stated in the question, but if the van was the truck, the answer would be $50.
Step-by-step explanation:
We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.
Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.
$0.25/mile * 80 miles = $20
Now, we can add the values up.
This will give us: $30 + $20 = $50
Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
Give your answer in the form y = mx + b.
Given:
The equation of a line is:
[tex]y=x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=1[/tex]
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=1(x-3)[/tex]
[tex]y+4=x-3[/tex]
Subtracting 4 from both sides, we get
[tex]y=x-3-4[/tex]
[tex]y=x-7[/tex]
Therefore, the equation of the required line is [tex]y=x-7[/tex].
At what rate percent per annum, will $4000 yield an interest of $780 in 18 months (simple interest)?
Answer:
13%
Step-by-step explanation:
780 interest/18 months=43.33 interest/month
43.33x12=520 interest/year
principal x interest rate = interest per year
4000 x interest rate =520
interest rate =520/4000
interest rate =.13 or 13%
What is the value of k?
Answer:
10
Step-by-step explanation:
Top angle of tri:
180 - 115 =
65
So:
65+4K+5+6k+10 = 180 (angles in tri add to 180)
Solve:
80+10k = 180
10k = 100
K = 10
Answer:
10
Step-by-step explanation:
y = 180 - 115
y = 65
Total of angles in a triangle is 180
(4k + 5) + (6k + 10) + 65 = 180
combine like terms
10k + 80 = 180
Subtract 80 from both sides
10k = 100
Divide both sides by 10
k = 10
list the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5
Answer:
integers are { 3 , 4 , 5 }
Step-by-step explanation:
- 1 < 2x - 5 ≤ 5
- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5 [ adding by 5 ]
4 < 2x + 0 ≤ 10
4 < 2x ≤ 10
2 < x ≤ 5 { divide by 2 ]
Therefore, integers are { 3 , 4 , 5 }
15
9
determine the value
coso
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
plzz help............
Answer:
14. (8,9,10)
15.no(A)
this is the answer
if the time is 7:32 what time will it be in 9 hours and 25 minutes?
Answer:
The time would be 4:59
Step-by-step explanation:
Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1
Work Shown:
m = (y2-y1)/(x2-x1)
m = (7-2)/(11-3)
m = 5/8
m = 0.625
m = 0.6
Someone help please❤️ & Thankyou!!
Answers:
300 = 12i+36si = 10Yes it's reasonablei = -11Refer to the diagram below.
The explanation for each part is below as well.
========================================================
Part 1
i = number of individual nail polish bottles
s = number of sets of 4
12i = money earned from just selling the individual bottles only
36s = money earned from just selling the sets of 4 only
12i+36s = total money earned = 300
12i+36s = 300 is the equation to set up
This is the same as 300 = 12i+36s because A = B is the same as B = A.
========================================================
Part 2
Plug in s = 5 to represent she sold 5 sets. Let's solve for i
12i+36s = 300
12i+36(5) = 300
12i+180 = 300
12i = 300-180
12i = 120
i = 120/12
i = 10
If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.
========================================================
Part 3
Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.
========================================================
Part 4
We'll repeat part 2 but with s = 12
12i+36s = 300
12i+36(12) = 300
12i+432 = 300
12i = 300-432
12i = -132
i = -132/12
i = -11
As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.
The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.
Solve for x. -16 = x/4 + 2
72
0 -32
O -72
O 32
Answer:
x = - 72
Step-by-step explanation:
Given
- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )
- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
- 72 = x
Answer is = - 72
It's a Right answer....
Mark me as brainliest....
With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
Steps of construction:
Step I - Draw a line segment AB = 7 cm with the help ruler. Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB. Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively. Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.(For Diagram please find in attachment)
if one side of a triangle measures 37 degrees and the other side measures 56 degrees, what is the angle of the third side?
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answer: slope is -3/2
Step-by-step explanation:
(-2,5) (4,-4)
Use the slope formula y2-y1/x2-x1
5-(-4)/-2-4 = -3/2
Answer:
The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
What is the vertex of the function f(x) = x2 + 12x?
(–6, –36)
(–6, 0)
(6, 0)
(6, –36)
Answer:
(- 6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - [tex]\frac{12}{2}[/tex] = - 6
Substitute x = - 6 into f(x) for corresponding value of y
f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36
vertex = (- 6, - 36 )
Answer:
A: (-6, -36)
Step-by-step explanation:
This should be the right answer on edge,
please correct me if I'm wrong.
12. A is the point with coordinates (1,3)
Bis the point with coordinates (-2, -1)
The line L has equation 3y = 4 - 2x
Is line L parallel to AB?
Show your working clearly.
Answer:
line L is not parallel to AB
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 4 - 2x ( divide terms by 3 )
y = [tex]\frac{4}{3}[/tex] - [tex]\frac{2}{3}[/tex] x ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Calculate slope of AB using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)
[tex]m_{AB}[/tex] = [tex]\frac{-1-3}{-2-1}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes
Since the slopes are not equal then the lines are not parallel
Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)
Answer:
log (9) + log(4)
Step-by-step explanation:
log (9.4)
Log (ab) = log (a) + log (b)
log (9) + log(4)
Answer:
A. log ( 9 ) + log ( 4)
Step-by-step explanation:
log( 9.4)
use log (a*b) = log (a) + log (b) to expand expression
log (9) + log (4)
Determine the mean, median, and mode of the data set.
37, 12, 32, 23, 12, 40, 11, 12, 10, 23, 27
a.
C.
mean=22
median=40
mode=23
mean=21.7
median=23
mode=12
b. mean=20
d. mean=22
median=20
median=12
mode=12
mode=23
Answer:
mean=21.7
median=23
mode=12
Step-by-step explanation:
Mean=37+12+32+23+12+40+11+12+10+23+27/11
=21.7(3 s.f)
Median: 10,11,12,12,12,23,23,27,32,37,40
Median=23
Mode=12
will give brainliest !!PLSS HELP fast !! and explain
Answer:
C
Step-by-step explanation:
Difference means subtraction. That makes B incorrect.
D is wrong because we have no way of knowing if g and h are squares.
A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.
That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.
Answer:
C
Step-by-step explanation:
find the next two terms. & choose the correct type of sequence.
Answer:
why arent you doing the quiz yourself do it yourself thats cheating.
Step-by-step explanation:
HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
The ordered triple for U is (-1,5,0). To graph this point in three- dimensional coordinate space, do the following.
From the origin, move back 1 units, right_ units, and down 0 units
A. 0
B. 5
C. 1
Answer:
the answer is B
Step-by-step explanation:
PLS HELP. ITS FOR AN ASSIGNMENT DUE SOON!!! IF YOU DONT KNOW THE ANSWER PLEASE DONT SAY ANYTHING.
the sum of three out of four numbers( omitting each of the four numbers in turn) are 20, 22, 24 and 27, respectively. What is the sum of the four numbers?
A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters. An artist plans to paint the entire surface blue. If one can of paint covers 50 square meters, how many cans does the artist need to paint the sculpture
Answer:
11.70cans ≈ 12cans
Step-by-step explanation:
According to question,
Given,A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters . thus Radius is 6.8/2 = 3.4 meters .And, An artist plans to paint the entire surface blue. & one can of paint covers 50 square meters.Now,First we have to find the total surface area of cylinder
total surface area of cylinder=2×π×r² + 2×π×r×h
Put values,we get
⇒2×3.14×3.4² + 2×3.14×3.4×24
⇒585.0448 square meters
Now,one can of paint covers 50 square meters.
So,To paint 585.0448 m² Area We need 585.0448 / 50 = 11.70Cans
Total Cans needed is 11.70cans ≈ 12cans .