Answer:
1. -0.66666666666667
2. -1
3. 1.333
4. 1.5
Identify the distance between points (3,8, 0) and (-2,9,-4), and identify the midpoint of the
segment for which these are the endpoints. Round to the nearest tenth if necessary
A) d-3.5 units; M(-0.5, 8.5.2)
B) d-3.5 units; M(0.5, 8.5.-2)
C) d-6.5 units: M(0.5, 8.5.-2)
D) d-6.5 units: M(-0.5, 8.5.2)
Answer: C) d-6.5 units: M(0.5, 8.5.-2)
Step-by-step explanation:
Distance between points [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
The midpoint of the line joining [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex] is given by :-
[tex](\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2})[/tex]
The given points : (3,8, 0) and (-2,9,-4)
Distance between points (3,8, 0) and (-2,9,-4):
[tex]D=\sqrt{(-2-3)^2+(9-8)^2+(-4-0)^2}\\\\=\sqrt{25+1+16}\\\\=\sqrt{42}=6.48074069841\approx6.5\text{units}[/tex]
The midpoint of the line joining (3,8, 0) and (-2,9,-4) :
[tex](\dfrac{3+(-2)}{2},\dfrac{8+9}{2},\dfrac{0+(-4)}{2})=(\dfrac{1}{2},\dfrac{17}{2},-2)\\\\=(0.5, 8.5.-2)[/tex]
Hence, the correct answer is C) d-6.5 units: M(0.5, 8.5.-2).
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Step-by-step explanation:
eq. of any line parallel to y=1/2 x-4 is
y=1/2 x+a,where a is constant.
∵ it passes through (4,5)
5=1/2(4)+a
5=2+a
a=5-2=3
so reqd. eq. is y=1/2 x+3
Answer:
Equation of the line is
y = 1/2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
[tex]y = \frac{1}{2} x - 4[/tex]
comparing this equation with the above formula
Slope or m is 1/2
Since the lines are parallel their slope are also the same
That's
m = 1/2
Equation of the line using point (4,5) is
[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]
Hope this helps you.
18
20
86
94
It’s eighth grade math
Answer:
x = 18
Step-by-step explanation:
We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:
5x - 4 + 94 = 180
5x + 90 = 180
5x = 90
x = 18
Answer:
I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.
x = 18
Step-by-step explanation:
First step: 5x - 4 + 94 = 180
Second step: 5x + 90 = 180
Last step: 5x = 90
So, therefore, your correct answer is: x = 18
approximately 13% of the USA population is left handed. Hiw many lefties would expect in a school of 420 students
Answer:
Approximately 55 students
Step-by-step explanation:
13% of 420 is 54.6 which you can then round up to 55
Hope this helped!
Answer:
55 students
Step-by-step explanation:
Take the percent and multiply by the number of students
13% * 420
.13 * 420
54.6
Rounding up
55 students
PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.
Answer:
No it’s not a translation
Step-by-step explanation:
No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.
Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Answer:
The volume of the composite figure is:
312 ft^3Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
VOLUME OF THE CUBE.
Finding the volume of a cube is actually simple, you only must follow the next formula:
Volume of a cube = base * height * widthSo:
Volume of a cube = 6 ft * 6 ft * 6 ft Volume of a cube = 216 ft^3VOLUME OF THE PYRAMID.
The volume of a pyramid with a square base is:
Volume of a pyramid = 1/3 B * hWhere:
B = area of the base.
h = height.
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
Volume of a pyramid = 1/3 36 ft^2 * 8 ft Volume of a pyramid = 96 ft^3Finally, we add the volumes found:
Volume of the composite figure = 216 ft^3 + 96 ft^3 Volume of the composite figure = 312 ft^3A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.
Answer:
-35 dollar net loss
Step-by-step explanation:
Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.
Help please, Topic: Arrangments
Answer:
360
Step-by-step explanation:
Given
Digits: 0 to 5
Required
Number of 4 digit passcode that can be generated.
First, we need to get the number of usable digits.
Digits 0 to 5 = 0,1,2,3,4,5
Number of digits = 6
To make a 4 digit passcode;
The first digit can be taken from any of 6 digits
The second digit, any of the remaining 5 digits
The third digit, any of the remaining 4 digits
The fourth digit, any of the remaining 3 digits
Number of passcode = 6 * 5 * 4 * 3
Number of passcode = 360
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4). Which is an x-intercept of the graphed function?
Answer:
(-2, 0), (-1, 0), (1, 0), (2, 0)
Step-by-step explanation:
The x-intercept of function can be defined as the values of x at which the graph of the function intercepts the x-axis, or where the values of the function, y, is equals to zero.
As it is already given that the graph crosses x-axis at points (-2, 0), (-1, 0), (1, 0), and (2, 0), and as we know that the point where the graph crosses x-axis has the value of the function equal to zero, so the x-intercepts of the given function are (-2, 0), (-1, 0), (1, 0), and (2, 0)
Answer:
(–3, 0) and (1,0)
Step-by-step explanation:
on edge
Please help me for precalculus ):
Answer:
The correct answer would be D.
Step-by-step explanation:
Find the missing length indicated.
Answer:
Step-by-step explanation:
x=✓25*9
x=✓5^2*3^2
x=5*3
x=15
You would like to have $4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Answer:
666.70 at the end of every six months.
Step-by-step explanation:
At the end of every six months deposit amount is 666.70
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals.
Formula of compound interest :
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
where,
A = final amount
P = initial principal
n = time in years
r = rate per annum
According to the question
Final Amount needed for a special vacation (A) = $4000
Time in years needed to collect Amount (n) = 3 years
Rate per compounded semiannually (r) = 4.5%
Substituting values in formula for six months
Now time (n) = 3 * 6 = 18 years
using formula of compound interest
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]
[tex]4000 = P(1.045 )^{18}[/tex]
now,
P = 666.70
Hence, at the end of every six months deposit amount is 666.70
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2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.
Question
Points A, B and C are all on the
circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°
Work out the size of angle x
Answer:
62°
Step-by-step explanation:
To solve for the above question, we would be using circle theorems.
Step 1
Angle OBD = 90° This is because a radius and a tangent meet at 90°
Step 2
The sum of Angles in a triangle = 180°
180° = Angle OBD + Angle BDO + Angle BOD
180° = 90° + 31° + Angle BOD
Angle BOD = 180° - (90° + 31°)
= 180° - 121°
Angle BOD = 59°
Step 3
Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°
Step 4
The sum of angles of a straight line = 180°
Angle BOD, Angle AOD and Angle x are angles on a straight line
Hence,
180° = Angle BOD + Angle AOD + Angle x
180° = 59° + 59° + x
x = 180° - ( 59 + 59)°
x = 180° - 118°
x = 62°
Therefore Angle x = 62°
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2
Answer:
B. Is the Answer 100 m²
Step-by-step explanation:
The ratio of the two solid is 729/125
The ratio of the surface area = (729/125)^(2/3)=81/25
Surface area = 25 * 324 / 81 = 100 m²
A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use
Answer:
The type of sampling method used is:
Simple random sampling.Step-by-step explanation:
A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.
Answer:
B. simple random sampling
Step-by-step explanation:
right on edge
Figure A is a scale image of figure B Figure A maps to figure B with a scale factor of 4/9 What is the value of x?
Answer:
x=36
Step-by-step explanation:
x×4/9=16
x=16×9/4=36
. The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answer:
w = 8 inchesStep-by-step explanation:
P = 2w + 2l
l = 3 + w
38 = 2w + 2(3 + w)
38 = 2w + 6 + 2w
38 - 6 = 4w
32 = 4w
w = 32 : 4
w = 8 inches
l = 3 + w
l = 3inches + 8inches
l = 11 inches
-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.
Answer: 46
Step-by-step explanation:
Given that the coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5).
You need to find length GA, GD, RA and RD by using the formula
L = sqrt[ ( X2 - X1)^2 + ( Y2 -Y1 )^2 ]
Length GA will be
L = sqrt [ ( 8-3 )^2 + ( 4+8 )^2 ]
L = sqrt ( 5^2 + 12^2 )
L = sqrt(25 + 144)
L = sqrt (169)
L = 13.
Length GD will be
L = sqrt [ ( -5-3 )^2 + ( -2+8 )^2 ]
L = sqrt ( -8^2 + 6^2 )
L = sqrt(64 + 36)
L = sqrt (100)
L = 10.
Length RA will be
L = sqrt [ ( 10-4 )^2 + ( 0-8 )^2 ]
L = sqrt ( 6^2 + 8^2 )
L = sqrt(36 + 64)
L = sqrt (100)
L = 10.
Length RD will be
L = sqrt [ ( 10+2 )^2 + ( 0+5 )^2 ]
L = sqrt ( 12^2 + 5^2 )
L = sqrt(144 + 25)
L = sqrt (169)
L = 13.
The perimeter P will be
Substitute all the parameters into the formula below
P = GA + GD + RA + RD
P = 13 + 10 + 10 + 13
P = 46
if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?
Answer:
a) he would have 27500 won
b) changbin and han would have 70 lightsticks
Step-by-step explanation:
a)
multiply 45 rings by 500 won to get the total expense
45 x 500 = 22500
then subtract 22500 won from 50000 to get the amount left after the purchase
50000 - 22500 = 27500
this results in 27500 won total
b)
subtract 75 from 145 to get the amount left
145 - 75 = 70
Answer:
Hyunjin has 27,500 left.
Changbin & Han have 70 lightsticks left.
Step-by-step explanation:
A) 45 × 500 = 22500 50,000 - 22500 = 27500
B) 145 - 75 = 70
* ANSWER PLS * Which choice is chord?
The chord of a circle is, LG
We have to given that,
A circle with center C is shown in figure.
Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
And, The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
Hence, By given figure,
Chord of a circle is,
⇒ Line segment LG
Thus, Option 2 is true.
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Answer PLS !!! Need it now
Answer:
area = 25.12
Step-by-step explanation:
area of circle = pi(r)^2
area = 3.14 (4)^2 /2
area = 3.14 (16) / 2
area = 50.24 / 2
area = 25.12
Answer:
A = 78.9568350285
Step-by-step explanation:
A = TTr^2/2
A = TT4^2/2
A = 12.5663706^2/2
A = 157.913670057/2
A = 78.9568350285
Which function has the same graph as x+y= 11?
A. Ax) = -y + 11
B.
Rx) = -x + 11
C.
A x) = x-11
D.
*x) = y- 11
Answer:
the answer is b= -x+11
Answer:b
Step-by-step explanation:
A team of 15 soccer players needs to choose a captain and a co-captain. Is this an example of permutations or combination. Then find the number of possiblities.
Answer:
Permuation; 210 possibilites
Step-by-step explanation:
With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).
This would be written as 15p2
To find the number of possibilities we want to use the permuation equation.
(,)=!(−)!
P=permutation
n= the set or population (15 soccer players)
r= subset (1 captain and 1 co-captain, total of 2)
(,)=(15,2)
=15!(15−2)!
= 210
If u are confused about !(factorial) in the equation here is a quick explanation
Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this
1! = 1
2! = 2 x 1 = 2
3! = 3 x 2 x 1 = 6
4! = 4 x 3 x 2 x 1 = 24
5! = 5 x 4 x 3 x 2 x 1 = 120
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
etc
Hope this helps!!
The number of possibilities in choosing captain and co-captain are 210 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, a team of 15 soccer players needs to choose a captain and a co-captain.
Number of captains can be choose from 15 players.
Number of co-captains can be choose from 15-1=14 players.
So, the number of possibilities= 15×14
= 210 ways
Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.
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GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.
Step-by-step explanation:
Z-score = (score-mean)/standard deviation
= (3.06-2.38)/0.45
= +1.51
The significance of z-score will be "1.5111".
Given values are:
Mean,
[tex]\mu = 2.38[/tex]
Standard deviation,
[tex]\sigma = 0.45[/tex]
GPA,
[tex]\bar x = 3.06[/tex]
Now,
→ The z-score will be:
= [tex]\frac{\bar x - \mu}{\sigma}[/tex]
By putting the given values, we get
= [tex]\frac{3.06-2.38}{0.45}[/tex]
= [tex]\frac{0.68}{0.45}[/tex]
= [tex]1.5111[/tex]
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Coral spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12? Include a let statement.
Answer:
$16
Step-by-step explanation:
Let x=number of cars washed when y=allowance. We know she got $4 as a result of washing the car. She ends with $12, and we want to find the amount before washing the car.
$12 - $4 = $8
So, Coral had $8 before washing the car. Since she spent half of her allowance already playing golf, we know that $8 is only half of her total weekly allowance. Double this.
($8)2 = $16
Therefore, her weekly allowance is $16.
We can check this. She spent half playing golf, $16 / 2 = $8. She washes a car for $4. $8 + $4 = $12, which is what she ended with. So our answer is correct.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
the variables x and y are directly proportional , and y=4 when x=3
Answer:
4/3
Step-by-step explanation:
y = kx
4 = k(3)
4/3 = k3/3
4/3 = k
The constant proportion is 4/3.
Answer:
the correct answer is 20 just took
the test
Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 50 miles and a direction of 240 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 50
x = sin 30 ° * 50
x = 25, how is the third quadrant would be -25
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 50 ^ 2 - 25 ^ 2
y ^ 2 = 1875
y = 43.3, -43.3 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).
Then I leave a sketch of what it would be:
Find the coordinates of the midpoint. Please help, thank you!