1. A car is traveling down a road at a constant speed of 50 miles per hour. a. Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time. Help please and thank you :)
By finding the linear equation that relates distance and time, we can see that the complete table is:
time (hours) distance (miles)
2 100
1.5 75
t (50)*t
1 50
6 300
d/(50) d
How to complete the table?
After a small online search, I've found that the table is:
time (hours) distance (miles)
2
1.5
t
50
300
d
Now, remember the relation:
distance = speed*time.
In this case, we know that the speed is 50 mi/h, so if we define d as the distance and t as the time, we can write:
d = (50mi/h)*t
To complete the table, we just replace the value that appears in the table, and then we solve the equation for the other variable.
First we have t = 2 hours:
d = (50 mi/h)*2h = 100 mi
Then we have t = 1.5 hours
d = (50 mi/h)*1.5 h = 75 mi
Then we assume that we evaluate in t, so there we just write the equation:
d = (50 mi/h)*t
Now we go to the other side of the table, now we evaluate d, so we can write:
t = d/(50 mi/h)
(that is what goes in the table when we need to evaluate in d).
Then the fourth place in the table has d = 50 mi, replacing that:
t = (50mi)/(50 mi/h) = 1h
And finally, we evaluate in d = 300mi
t = (300 mi)/(50 mi/h) = 6h
Then the complete table is just:
time (hours) distance (miles)
2 100
1.5 75
t (50)*t
1 50
6 300
d/(50) d
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the total amount of miles lukas drove
Answer:
first is -20 second is -30 and if you add those it is -50
what is the slope of each line Line A y=1/2 x -4 Line B y=2x-3 The slope of line a = 1/2 The slope of line b=2 The slope of line a =-4 The slope of line b =-3 the slope of a =-1/2 the slope of b =-2 The slope of line a =-3 the slope of line b =-4
Answer: 1/2 and 2
Step-by-step explanation:
The slope of a line, where the equation is in y=mx+b form, is m.
A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x Overbar, while the standard deviation is s. What is the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58.
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99% confidence interval for the population mean is given by:
[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.s is the standard deviation for the population.99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.58[/tex].
The other parameters are symbolic, hence the interval is given by:
[tex]\overline{x} \pm 2.58\frac{s}{\sqrt{n}}[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
what is 3x^3 + 20x^2 + 28x +15
Answer:
(3x^2 + 5x +3) (x + 5)
multiply polynomials ( 1.3xy^2) (-2.2x^2y)
pls solve this :)
Ma Johnson gives 1/6 of 1 pizza to each of her 25 students
Answer:
25/6 pizzas are needed. (4 1/6)
Step-by-step explanation:
25 x 1/6 is 4 1/6
A right rectangular prism has a length of 412 cm, width of 4 cm, and height of 212cm. What is the volume of the prism? Enter the answer in the box. cm³
Answer: Volume = 349376 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the length*width*height.
We can plug in the values given:
Volume = 412 cm * 4 cm * 212 cm
Volume = 349376 cm^3
Answer:
the awnser is 3 over 9
Step-by-step explanation: bc i like suck\
iykyk
How many pieces of string measure longer than 8 and 1/2 inches?
1 poir
Answer:
This question seems to be somewhat incomplete. Could you maybe provide some more details about the question? And could we also see your options? I would like to help but I need as much information as possible. Thanks!
What percent of the cars passed through between 2:00 pm and 2:59 pm?
Look at the attatched Picture to answer the Problem
Just need a Simple percentange
Thanks!
Answer:
40% I think because it is easy to turn a number into percentage.
Classify each pair of labeled angles as complementary, supplementary, or neither.
Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.
Answer:
The angles 53 and 127 are supplementary.
The angles 56 and 34 are complementary.
The angles 67 and 67 are neither.
Step-by-step explanation:
Supplementary angles are two angles that add up to 180 degrees.
Complementary angles are two angles that add up to 90 degrees.
Add the angles found in each choice to get 180, 90, and 134.
In circle EE, m\angle FEG=70^\circ∠FEG=70
∘
and the length of \overset{\LARGE\frown}{FG} = \frac{7}{9}\pi
FG
⌢
=
9
7
π. Find the length of \overline{EF}
EF
.
The length of EF from the given diagram is 2.98
How to calculate the length of an arcThe formula for calculating the length of an arc is expressed as;
L = rtheta
where
r is the radius
theta is the subtended angle
Given the following
r = 7/9π
theta = 70 degrees
L = 70/360 * 2 * 7/9π * π
L = 2.98
Hence the length of EF is 2.98
Learn more on length of an arc here; https://brainly.com/question/2005046
write each fraction as a decimal 8/12
Write a quadratic function h whose zeros are 1 and 9.
Answer:
x^2 - 10x + 9
Step-by-step explanation:
Zeros would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us x squared -10x+9
Hi can you please help me out
Answer:
Centroid
Step-by-step explanation:
is it right please tell me down below thank you
Find the values of x, y, and z. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
The value of x is 15, y is 5 and z is 17 units in the given triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
First let us find value of y
We know that hypotensue / leg = leg/y
20/10 = 10/y
Apply cross multiplication
20y=100
y=5
Now let us find x value
20-y=x
20-5=x
x=15
The altitude is √5.15= √75
=8.6
Now by pythagoras theorem, we find value of z
x²+75 = z²
15²+75 = z²
225+75= z²
300= z²
z=17.3
Hence, the value of x is 15, y is 5 and z is 17 units in the given triangle.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
If you were told that the exchange rate between the U.S. dollar and the Canadian dollar was 1.2, that would mean that Canadians would have to spend ____ to buy a $12 watch in New York City. a. 10 U.S. dollars b. 18 Canadian dollars c. 14.4 U.S. dollars d. 12 U.S. dollars
Answer:
C.14.4
Step-by-step explanation:
You start at (0, 8). You move down 7 units and right 8 units. Where do you end?
========================================================
Explanation:
The "move down 7" means the y coordinate 8 becomes 8-7 = 1
We subtract 7 from the y coordinate.
The "move right 8 units" means we add 8 to the x coordinate to get 0+8 = 8
Therefore, the point (0,8) moves to (8, 1)
Check out the diagram below.
Help me with this pls i dont understand
Answer:
Slope is 6 and Y intercept is 4.. You can look the image above.
Construct an augmented matrix for this linear system: x − y − 4z = 5 2x 2z = 0 4x y z = 3.
The augmented matrix is,
[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]
We have given system of linear equation is,
[tex]x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.[/tex]
What is the meaning of augmented matrix?In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.
So, the first row is
[tex]1\ -1\ -4\ 5[/tex]
the second row is
[tex]2\ 0\ 2\ 0[/tex]
and the third row is
[tex]4\ 1\ 1\ 3[/tex]
Therefore the augmented matrix for this linear system is,
[tex]\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)[/tex]
To learn more about the augmented matrix visit:
https://brainly.com/question/14600951
The augmented matrix for the given linear equations will be constructed as follows
[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]
What will be the augmented matrix of the given linear equations?The augmented matrix is generally a matrix form of the given linear equations and the coefficient of the variables are arranged in the form of a matrix.
The given equation has three variables so the matrix form will be of [tex]3\times3[/tex]
The given linear equations are
[tex]x-y-4z=5\\2x+0y+2z=0\\4x+y+z=3[/tex]
From the above equations, we will make an augmented matrix.
[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]
The first equation will be followed by the first row of the matrix and the rest will be followed the same.
Thus the augmented matrix for the given linear equations will be constructed as follows
[tex]\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right][/tex]
To learn more about the Augmented matrix follow
https://brainly.com/question/26103226
y∝√x
If y = 32 when x = 64 find,
x when y = 48
I have no clue how I’m supposed to do this…
Answer:
Step-by-step explanation:
We will need to rewrite the Pythagorean Theorem
A^2 + B^2 = C^2
Substitute. tIn this case:
18^2 + x^2 = 82^2
Subtract 18^2
x^2 = 82^2 - 18^2
In order to get x alone, take the root:
x = sqrt(82^2 - 18^2)
And solve:
x = 80
w times 11, then add x to the result.
Answer:
11w + x
Step-by-step explanation:
Zahria deposited her $500 savings in a high yield fund. See the end of year balances in the table below.
will give brainliest
Step-by-step explanation:
please I don't understand the question
YOU WILL GET BRAINLY!!
Please help me and please explain.
Answer:
Measure of side a: 6
Measure of side b: 8
Measure of side c: 10
Side a/c: 6/10 = 3/5
Side b/c: 8/10 = 4/5
Side a/b: 6/8 = 2/3
Step-by-step explanation:
[tex]\beta=59\ degrees[/tex]
Step-by-step explanation:
[tex]< ABC+ < BAC=90\ degrees\\ The\ acute\ angles\ of\ a\ right\ triangle\ are\ complementary.[/tex]
[tex]\beta+31\ degrees=90\ degrees\\ Substitute\ < ABC=\beta, < BAC=31\ degrees\ into\\ < ABC+ < BAC=90\ degrees[/tex]
[tex]\beta=59\ degrees\\ Calculate\ \beta+31\ degrees=90\ degrees[/tex]
I hope this helps you:)good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
put x=4
[tex]\\ \rm\longmapsto y=40(0.6)^4[/tex]
[tex]\\ \rm\longmapsto y=40(2.4)
[tex]\\ \rm\longmapsto y=40(0.13)
[tex]\\ \rm\longmapsto y=5.2ft[/tex]
is y= 3/8x proportional
Answer:
yes
Step-by-step explanation:
the equation of proportion is
y = kx ← k is the constant of proportion
y = [tex]\frac{3}{8}[/tex] x ← is in proportional form
My math grade went from a 78 to a 86. What is the percent increase
Answer:
10.25641...% or 10.3%
Step-by-step explanation:
(86/78)/78 = 8/78
8/78 * 100 = 400/39 = 10.25641...%
PLS HELP I'M DESPERATE!!!!!!!!!!!
Translate this phrase into an algebraic expression. 43 less than twice a number Use the variable n to represent the unknown number.
Why did the freshman eat his homework? Because his teacher said it was a piece of cake.
Answer:
lol
Step-by-step explanation:
aaaaaaaaa stop brainly
Answer:
the guy that invented umbrellas didnt know what to call it so he said "ummm... brella"
Step-by-step explanation: