Answer:
Step 2
Step-by-step explanation:
Solving
(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]The error has occurred in Step 2.
The distribution of -2 to 6y and -5 gives -12y and 10 respectively.
Instead, the distribution has not happened between -2 and -5.
Karim is painting a design on a cylindrical
barrel. the height of the barrel is 1.2 m.
the radius of its base is 0.3 m. what area
will the paint have to cover? (remember to
include the bottom and lid of the barrel.)
Directions: Find the slo
(-13, 8) and (3, 12)
Answer:
slope =.25
Step-by-step explanation:
I assume this is asking to find the slope?
graph this equation and you'll see that the run is 16 and the rise is 4.
rise/run
4/16 = .25
Help im failing my math class
Answer:
88 m^2
Step-by-step explanation:
We can split the parallelogram into three shapes. 1 square and 2 triangles.
To find the area of a square, multiply one side by another side that does not face it. To find the area of a triangle, divide the base by half OR multiply the base by 0.5, and then multiply by the height.
Since these shapes are all pieces of the parallelogram, add together their total areas to get the area of the parallelogram.
Square: 7 x 8
Triangle: 0.5 x 4 x 8 or 4/2 x 8
(7 x 8) + 2 x (0.5 x 4 x 8)
56 + 2 x (2 x 8)
56 + 2 x 16
56 + 32
56 + 32 = 88 m^2
20% of the guest at the party were children. if 15 children attended the party, how many adults attended?
A mining company has identified a mineral layer below ground.
The mining company wishes to drill down to reach the mineral layer and mode
situation as follows.
With respect to a fixed origin O,
• the ground is modelled as a horizontal plane with equation z = 0
• the mineral layer is modelled as part of the plane containing the points
A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60), where the units are in
(a) Determine an equation for the plane containing A, B and C, giving your ans
the form r.n=d
Answer:
90
bc i don't care about this
The equation of plane containing the points ABC is 13x+y-18z = 1035.
What is equation of plane?A plane in 3D coordinate space is determined by a point and a vector that is perpendicular to the plane. The equation of plane is defined as the position vectors and the Cartesian product of the vector perpendicular to the plane.
For the given situation,
The plane containing the points
A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60).
The equation of the plane in the form r.n=d can be represented as
[tex](r-a).[(b-a)[/tex] × [tex](c-a)]=0[/tex] ------ (1)
Let r = xi + yj +zk
a = 10i + 5j - 50k
b = 15i + 30j - 45k
c = -5i + 20j - 60k
[tex](r-a)=(x-10)i+(y-5)j+(z+50)k[/tex] ------- (2)
[tex](b-a)=(15-10)i+(30-5)j+(-45-(50))k[/tex]
⇒ [tex](b-a)=5i+25j+5k[/tex]
[tex](c-a)=(-5-10)i+(20-5)j+(-60-(50))k[/tex]
⇒ [tex](c-a)=-15i+15j-10k[/tex]
Now, [tex](b-a)[/tex] × [tex](c-a)[/tex]
⇒ [tex](5i+25j+5k)[/tex] × [tex](-15i+15j-10k)[/tex]
⇒ [tex]\begin{vmatrix}i&j&k\\5&25&5\\-15&15&-10\end{vmatrix}[/tex]
⇒ [tex]i(-250-75)-j(-50+75)+k(75+375)[/tex]
⇒ [tex]-325i-25j+450k[/tex] -------- (3)
Substitute all values in equation 1,
⇒ [tex][(x-10)i+(y-5)j+(z+50)k].[(-325i-25j+450k)]=0[/tex]
⇒ [tex]-325(x-10)-25(y-5)+450(z+50)=0[/tex]
⇒ [tex]-325x+3250-25y+125+450z+22500=0[/tex]
⇒ [tex]-325x-25y+450z=-22500-3250-125[/tex]
⇒ [tex]-325x-25y+450z=-25875[/tex]
On dividing by 25 and multiply with negative sign on both sides,
⇒ [tex]13x+y-18z=1035[/tex]
Hence we can conclude that the equation of plane containing the points ABC is 13x+y-18z = 1035.
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Find the mean of the data.
9, 56, 24, 59, 2
Answer:
24 because it is the middle number
Step-by-step explanation:
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
What is the rate of change?The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.
Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.
Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
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Is X/3=5+3y/4 a linear equation
Answer:
Yes
Step-by-step explanation:
Linear EquationsA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
What is a Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?
Answer:
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
Step-by-step explanation:
Given:
[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.
Divide volume of the Earth with the volume of Mercury.
[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
what is 4x^2 -40-120 is equivalent to
Answer:
Step-by-step explanation:
4x^2-40-120
4x^2-160
4x^2=160
x^2=40
sqrt40=6.32
HII GIVING BRAINLIESST TO WHO EVER EXPLAINS AND HELPS ME THANK U
Step-by-step explanation:
we don't need to actually do the detailed area calculation.
all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).
the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.
so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.
so, in other words, the area scaling factor is the square of the side scaling factor.
coming from A1 to A2 the area scaling factor is
80/45 = 16/9
the side scaling factor is then
sqrt(16/9) = 4/3
we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.
and so, the ratio of A1 side lengths to A2 side lengths is
3:4
(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).
100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
Write 6.51 x 10^-8 in Standard Form
Please help :) also this is the same thing question as last time but I forgot to put the little arrow
Answer:
[tex]651*10^{-8[/tex]
Step-by-step explanation:
Sure hope this helps you
(Need help fast due today and will fail if not done today!) Select True or False for each statement about the function y = 8x2 − 4.
Answer:
1. False
2. True
3. False (Not sure about this one)
4. True
5. False
PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST
A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answer:
The right one is ........
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. if Jane paid 30000.what was the total cost of the piece of land?
The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. Thus, the fraction of amount paid by Jane is,
[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]
The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,
[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]
Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
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Need help please answer ASAP!
Answer:
See below ~
Step-by-step explanation:
Question 18
Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cmQuestion 19
3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}#1
Length of diameter
√(2-2)²+(2-12)²√(-10)²10unitsLength of radius=10/2=5
#2
3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3Solution set
{-2/3,12}A risky stock sells for $10 per share. With probability 0.3, the stock will be worth 3 times as much in two years. With probability 0.7, the stock will be worth 1/10 as much in two years. Suppose you buy 10 shares of the stock and then sell the stock in two years. Let N be the random variable denoting your net gain in dollars. What is the expected value of N
The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
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A bird bath that is 4 ft. tall casts a shadow that is 6ft. long. find the length of the shadow that 6 ft. tent casts.
a) 9ft.
b) 3ft.
c) 10ft.
d) 4ft.
Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
Hi, I need help with arithmetic sequence and I don't really know what to do.
Answer:
Step-by-step explanation:
Answer:
choice 2
Step-by-step explanation:
Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).
The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.
The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.
We may plug in a point to solve for b.
Let's plug in (3,10):
10=8(3)+b
10=24+b
10-24=b
-14=b
So the equation we are lookinlooking for is y=8x-14 which is choice 2.
Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Volume of composite objectThe sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
For the outer sphere:
V = 4/3π(20)³
For the inner sphere:
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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Answer:
D
Step-by-step explanation:
which graph represent the liner function y= -5x + 2?
A
B
C
D
Answer:
A
Step-by-step explanation:
if you say x=0 than y=2
if you say y=0 then x=2/5
you observe those values in the first graph
What is the circumference of the following circle? Diameter=3 Radius=1.5
Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14
Step-by-step explanation:
Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(x) = (x – 8)2 – 6
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:
f(x) = (x - 8)² - 6.
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Solve this system of equations by
using the elimination method.
3x + 3y = 18
2x+y = 4
([?], [ ])
Answer:
solution: (x,y)=(-2,8)
Step-by-step explanation:
1) 3x+3y=18
2x+y=4
2) -x-y=-6
2x+y=4
3) x=-2
4) 2x(-2)+y=4
5) y=8
6) (x,y)=(2,8)
and that is :D
cos(19pi/3)=?
Pls help me :(
Answer:
Step-by-step explanation:
Remove full rotations of [tex]2\pi[/tex] until the angle is between 0 and [tex]2\pi[/tex].
[tex]cos(\frac{\pi }{3} )[/tex]
The exact value of [tex]cos(\frac{\pi }{3})[/tex] is [tex]\frac{1}{2}[/tex].
[tex]\frac{1}{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
[tex]\frac{1}{2}[/tex]
Decimal Form:
[tex]0.5[/tex]
Vocabulary:
Rotation
A transformation in which a figure is rotated through a given angle, about a point.
Angle
The union of two rays with a common endpoint, called the vertex.
The data below represents the weight, in kilograms, of 15 containers shipped from a factory in one week.
Match the letter with the correct term that would be necessary to complete the box and whisker plot.
Box and whisker plot has shown in the picture which shows different measures of the data set.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have data:
45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100
Sample size: 15
A = (c) The Lowest value (45)
B = (e)Lower quartile Median (55)
C = (b) Median (81)
D = (d) Upper quartile (93)
E = (a) The Highest value (100)
Thus, box and whisker plot has shown in the picture which shows different measures of the data set.
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Factorize (x-q) (2f+k)-f(r-q)
Answer:
..........................
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.
please help me solve this
Answer:
It's 5/30 Seniors. As a fraction, it would be 16.7 % of the seniors take the bus. Hope this helps!!!!!
Answer:
5/35=1/7=0.14
Step-by-step explanation:
35 in total for Senior
5 take bus
5/35=1/7
