What do you call two lines in 3-space that never meet, but are not parallel.
Answers
An example:
Look where two walls meet. They meet at a vertical line. Let's call that line A.
Now look at where the ceiling and another wall meet (this wall is not the same as the previous two walls mentioned). The ceiling and this new wall meet at line B
Lines A and B are skew lines since they'll never cross even if you extend them out forever. They aren't parallel lines either because they don't point in the same 3D direction.
Check out the diagram below.
Related Questions
4500 = 3200(1+R/100)^4
Answers
Answer:
here is the answer for your question 4500=3200(1+R/100)^4, hope it helps
The breadth of the rectangular garden is 2
3
of its length. If its perimeter is 40 cm, what are its
dimensions.
Answers
Answer:
Length = 12cm
Width = 8cm
Step-by-step explanation:
Let the length be x
Let the width be 2/3x
Perimeter = 2 (l+b)
Length = 2 (x+2/3x) = 40
= x + 2/3x = 40/2
= x + 2/3x = 20
= x/1 + 2/3x = 20
LCM = 3
= 3x + 2x = 20
______
3
= 3x + 2x = 20 x 3
= 5x = 60
= x = 60/5
= x = 12
Width = 2/3 of 12
= 2/3 × 12
= 8
A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 71 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
Answers
It will take 44 minutes for the car to pass the truck.
What is relative speed ?Relative speed is the net speed difference between two objects when they are on the same direction we subtract and when they are on different direction we add.
According to the given question A truck enters a highway driving 60 mph which is (60/60) miles per minute = 1 mile per minute.
The car is going at a speed of 71 miles hour or (71/60) mile per minute = 1.183 miles per minute.
∴ Their relative speed difference is ( 1.183 - 1 ) = 0.183 miles.
Given the car enters the highway 8 minutes later on that time the truck will cover the distance of (1×8) = 8 miles.
so, the time needed for the car to pass the truck is (8/0.183) minutes which is = 43.7 minutes or 44 minutes.
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Find an equation of the line that has a slope of 5 and a
y
-intercept of
(
0
,
8
)
. Write your answer in the form
y
=
m
x
+
b
.
Answers
Find the numerical value if x=4 and y=5
Answers
Answer:
77
Step-by-step explanation:
2(4)^2+9(5)
2(16)+45
32+45
=77
Answer:
109
Step-by-step explanation:
First, you substitute x with 4 and y with 5
so your equation should be 2(4)squared +9(5)
PEMDAS
Parrentisies first so 2x4=8 and 9x5=45
then exponents so 8squared = 64
Addition next so 64 + 45 =?
? = 109
{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above
Answers
The set of ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} belong to a function
[y = f(x)] considering the pairs are in the order of (x, y).
As per the question statement, we are provided with a set of ordered pairs: {(-2, 4), (0, 2), (-1, 3), (4, -2)}.
We are required to determine if the pairs in the set satisfy a function or not.
To solve this question, let us consider each pair in the form of (x, y) and then, we will have to find out a relation between x and y that will satisfy all the ordered pairs. If we are able to find out one such common relation or pattern, we will determine our ordered pairs as inputs and outputs of the same function, otherwise not.
We can say that, [tex][(-2)(-1)+2]=4,[/tex]
[tex][(0)(-1)+2]=(0+2)=2,[(-1)(-1)+3]=1+2)=3,\\[/tex]
And, [tex][4*(-1)]+2=[(-4)+2]=(-2)[/tex]
That is, all our ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} satisfy the function [y = f(x) = {x(-1) + 2}], being in the order of (x, y).
Therefore, the set of ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} are the inputs and outputs of the function [y = f(x) = {x(-1) + 2}].
Ordered Pairs: An Ordered Pair is a pair of elements (say a, b) having the property that [( a, b) = (p, q)] if and only if (a = p) and(b = q).
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A bakery is 12 meters wide and 19 meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $23.37 per meter. How much will the baker's shelf cost?
Answers
The cost of the baker's shelf is $1,448.94
How to calculate the cost of the baker's shelf ?
The length of the bakery is 12 meters
The width of the bakery is 19 meters
The wooden shelf costs £23.37 per meter
The cost can be calculated as follows
2(12+19) × 23.37
= 2(31) × 23.37
= 62 × 23.37
= 1,448.94
Hence the cost of the baker's shelf is $1,448.94
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Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J
Answers
Answer:
C = 16
Step-by-step explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
DistanceThe distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
PointTo find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.
larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number
Answers
Answer:
13 and 39
Step-by-step explanation:
let the smaller number be n then the larger number is 2n + 13 , so
n + 2n + 13 = 52
3n + 13 = 52 ( subtract 13 from both sides )
3n = 39 ( divide both sides by 3 )
n = 13
2n + 13 = 2(13) + 13 = 26 + 13 = 39
then smaller number is 13 and larger number is 39
The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.
0123456201614434285574697888
median =
years (Do not round)
Answers
The median is 16.
What is the median?A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.
Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.
The median of 21 numbers would be the 11th number. The 11th number is 16.
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A city in Texas started the day at -5 degrees Fahrenheit. The temperature increased by 15.1 degrees by nightfall. What is the final temperature at nightfall?
Answers
Step-by-step explanation:
Add 15.1 to -5-5 + 15.1 = 10.1Answer:
The final temperature is 10.1 degrees Fahrenheit
3.4/feet
5 feet
Find the area of the triangle pictured above.
h
square feet
Area =
Answers
Answer:
8.5 square feet
Step-by-step explanation:
(3.4x5)/2
=8.5
Use the graph to determine the following
a. the functions domain
b. the functions range
c. the x-intercepts if any
d. the y-intercepts if any
e. the function values f(0) and f(4)
Answers
The answers are:
a) The domain is the set of all real numbers.
b) The range is R: (-∞, -2]
c) there are not any x-intercept.
d) The y-intercept is y = -5
e) f(0) = -5
f(4) = -4
How to determine the domain and range by using the graph?For a function f(x) =y, we define the domain as the set of the inputs and the range as the set of the outputs.
To identify the domain we need to look at the horizontal axis, and there we can see that the function covers it completely, then the domain is the set of all real numbers.
For the range, we look at the vertical axis. Here we can see that the function has a maximum at y = -2 and then goes down, then the range is:
R: (-∞, -2]
c) Now we want to get the xintercepts. As you can see in the graph, it never intercepts the x-axis (the horizontal one). Thus, there are not any x-intercept.
d) The y-intercept is when the graph intercepts the vertical axis, in this case the y-intercept is at y = -5
e) f(0) is the value of the y-intercept, which we already know is y = -5
for f(4) we need to find x = 4 in the horizontal axis and then find the correspondent value of the graph.
We can see that f(4) = -4.
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how far would the plane fly in 3 hours? in 3.5 hours?
Answers
Pls help I need help rn
Evaluate 4x ^ 2 - 3x when x = 3
Answers
Answer:
27
Step-by-step explanation:
=4(3)^2-3(3)
=4(9)-9
=3(9)
=27
Three times the number m plus five equals fourteen.
Answers
Answer:3
Step-by-step explanation:
3m+5=14
-5
3m=9
m=3
What is this number in standard form?
(8 × 10) + (2x 100) + (9 × 1.000)
5)
Enter your answer in the box.
Answers
Answer:
Depending on where the 5) is supposed to be, if it is multiplying the 9 x 1000, then total answer is 45280. If however the equation is 80 + 200 + 45000 then multiply by 5 it is 46400
4x-2y=20 x+y=-1
ayuda!!!!es urgente!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?
Answers
Using the z-distribution, it is found that a sample size of 97 is required.
What is a z-distribution confidence interval?The confidence interval is as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is given by the following rule:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.For this problem, considering a margin of error of 10, the parameters are given by:
[tex]M = 10, \sigma = 50[/tex]
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Then we take the margin of error equation and solve for n as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 50 \times 1.96[/tex]
[tex]\sqrt{n} = 5 \times 1.96[/tex]
[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]
n = 96.04
Rounding up, as a sample size of 96 results in M > 10, we have that:
A sample size of 97 is required.
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Marty can buy lunch for 5 dollars in the cafeteria how many days can he buy lunch with 30 dollars
Answers
Answer: 6 days
Divide 30 by 5
6.
Marty can buy lunch for 6 days.
Let f(x)=12(4)x−1. Evaluate f(3)
Answers
Answer: f(3)=143
Step-by-step explanation:
f(x)=12(4)x−1
f(x)=48x−1
f(3)=48(3)−1
f(3)=144−1
f(3)=143
The reciprocal of 2/19 is
(Type an integer or a fraction.)
Answers
Answer:
-19/2
Step-by-step explanation:
If you want the reciprocal you need to change the sign to the opposite and flip the numbers.
Julia went to ten houses on her street. 5 of them gave her a chocolate bar. What fraction of the houses gave her a chocolate bar
Answers
Seven times the sum
of a number,n, and four
Answers
Answer:
7(n + 4) or 7×(n + 4)
Step by step explanation:
which of the following shows 3x^2-2x-5 factored completely?
Answers
write the equation for the line perpendicular to y=-1/4x+9 and passing through the point (-9,9) in slope-intercept form.
Answers
Answer:
y = 4x + 45
Step-by-step explanation:
The slope for the equation y = -1/4x + 9 would be the number before the x. In this case, that number is -1/4. A perpendicular slope would be the opposite inverse to this number which would be 4. We know have the slope. We need the y- intercept.
To find the y-intercept we would need and x and y value that is on the line and the slope. We are given this information. From above, we see that the slope is 4. We can use the x and y from the ordered pair given (-9,9) The x value is -9 and the y value is 9.
y = mx + b Substitute in what we know.
9 = 4(-9) + b We are soling for b
9 = -36 + b Add 36 to both sides of the equation
45 = b We now know the y-intercept
The equation will be:
y = mx + b
y = 4x + 45
how much would $500 invested at 4% interest compounded monthly be worth after 7 years ? A(t)=P*e^nt
Answers
The worth of the investment is $1.51 * 10^39
How to determine the compound amount?The given parameters are
Principal, P = $500
Rate, r - 4%
Time, t = 7 years
Number of times, n = 12
So, we have:
A(t)=P*e^nt
This gives
A(12) = 500 *e^(12 * 7)
Evaluate
A(12) = 1.51 * 10^39
Hence, the worth of the investment is $1.51 * 10^39
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A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 16 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower Limit:
Upper Limit:
Answers
Using the t-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 30.9.Upper: 35.1.What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.
The other parameters are given as follows:
[tex]\overline{x} = 33, s = 4, n = 16[/tex]
Hence the bounds of the interval are given as follos:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 33 - 2.1315\frac{4}{\sqrt{16}} = 30.9[/tex][tex]\overline{x} + t\frac{s}{\sqrt{n}} = 33 + 2.1315\frac{4}{\sqrt{16}} = 35.1[/tex]Which are the lower and the upper bound, respectively.
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use whole numbers and decimals to write 19.06 in expanded form
Answers
Answer:
19 + 0.06
taking out the whole number leaves you with 0.06
or you could do 10 + 9 +0.06
if you want to split it up more
The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.
What are the standard form and expanded form of numbers?Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.
Given, A number in a decimal form which is 19.06.
This can be written as,
1×10¹ + 9×10⁰ + 0/10¹ + 6/10².
1×10 + 9×1 + 0/10 + 6/100.
Each digit has a face value and a place value.
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The function g(x)=−3(x−3)2+4 crosses the x-axis at x=1.845. What is true about the value of g(x) at that x-value? g(x)=0 g(x)=1.845 g(x)=−3.34 g(x)=−3
Answers
the value of the function is zero, then the correct option is the first one.
g(x)=0
What is true about the value of g(x) at that x-value?We know that the given function:
g(x) = -3*(x - 3)^2 + 4
Crosses the x-axis at x = 1.845
Now, remember that the x-axis is located at y = 0, to for the function:
y = g(x)
We should have that g(1.845) = 0
Then what we can conclude about the value of g(x) at x = 1.845 is that the value of the function is zero, then the correct option is the first one.
g(x)=0
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