The distance y (in miles) that Train A travels in x hours is represented by the equation y=68x . The graph shows the distance that Train B travels. (0, 0) and (1, 64).
Answer:
For train A, the distance traveled as a function of time in hours is written as:
y = 68*x
For train B, we know that it's equation passes through the points (0, 0) and (1, 64)
Remember that:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then the slope for the equation of train B is:
a = (64 - 0)/(1 - 0) = 64
Then equation of train B is something like:
y = 64*x + b
Now, we know that it passes through the point (0, 0), this means that when x = 0, we also have y = 0, then if we replace these two values in the equation we get:
0 = 64*0 + b
0 = 0 +b
then b = 0
This means that the equation for train B is:
y = 64*x
Where again, y is the distance in miles and x is the time in hours.
If we look at both equations, we can see that train A has a larger slope, which means that for each unit of time, train A travels a larger distance, then we can conclude that train A is faster than train B.
Help me on this please
Answer:
14. y=10
Step-by-step explanation:
3y-7=23
+7 +7
3y=30
---- -----
3 3
y=10
Answer:
y=10j=8Step-by-step explanation:
[tex]3y-7=23[/tex]
Collect like terms and simplify
[tex]3y =23+7\\3y=30[/tex]
Divide both sides of the equation by 3
[tex]\frac{3y}{3} = \frac{30}{3}[/tex]
Simplify
[tex]y=10[/tex]
2.
[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]
GEOMETRY. Identify the angles that each have a measure of 117º
Answer:
It should be 4, 6, and 8
Step-by-step explanation:
Hope This Helped
how many 0 are in 123456789123456789000012010100101010101010101010010
Answer:
19
Step-by-step explanation:
:)
Select all expressions that describe the expression 2 + 5Y
A) 1 plus 5 plus Y
B) 2 plus 5 times a number Y
C) 2 plus the product of 5 and a number Y
D) The sum of all the numbers times Y
E) the sum of 2 and 5Y
F) 2 plus Y plus Y plus Y plus Y plus Y plus Y
Answer i think b, and f.
Step-by-step explanation:
Let me know if i am wrong.
What is the distance between (-3.2, -1.5) and (-3.2, 2.9)?
Answer:
4.4 units
Step-by-step explanation:
The distance between the two points is 4.4 units.
Harold is moving a 5- foot tall refrigerator. He tilts it onto its rear edge forming an angle between the back of the refrigerator and the floor; the top edge of the tilted refrigerator is exactly 4 feet above the floor as shown in the following diagram.
What is the cosine of the angle the refrigerator makes with the floor?
A, 4/5
B, 5/4
C, 4/3
D, 3/4
E, 3/5
Please help I’ll give branliest
The cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Harold tilted the 5 foot fridge, so the slanting height = 5 feet
The tilted refrigerator makes the height 4 feet from the floor.
From the diagram,
The three sides of the triangle according to Pythagoras theorem are
Hypotenuse side, h = 5 feet
Opposite side, o = 4 feet
Let a be the adjacent side.
By Pythagoras theorem,
[tex]Hypotenuse^{2} = Opposite^{2}+Adjacent^{2}[/tex]
⇒ [tex]5^{2} =4^{2} +a^{2}[/tex]
⇒ [tex]a^{2} = 25-16[/tex]
⇒ [tex]a=\sqrt{9}[/tex]
⇒ [tex]a=3[/tex]
Thus the trigonometric ratio cosine of the angle is
[tex]cos \theta =\frac{Adjacent}{Hypotenuse}[/tex]
⇒ [tex]cos \theta =\frac{3}{5}[/tex]
Hence we can conclude that the cosine of the angle the refrigerator makes with the floor is option (E) 3/5 is the correct answer.
Learn more about trigonometry here
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Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
I beleive is is -2% because 5 is 2 more than 3
so then 5-2=3
Answer:
Error Is 100(2/3) 66.7%
Which function is shown in the table below?
What number is 110 of 3.6?
Answer:
110x3.6 is equal to 396
hope this helps!
A linguist at a large university was studying the word length of papers submitted by students en
humanities programs. From a random sample of 25 papers, the linguist counted the number of words
used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the
interval?
Answer:
We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words
Step-by-step explanation:
The confidence interval is used to predict the mean for the entire humanities program, not just the sample.
What provides the energy to set the water cycle in motion?
Question 2 options:
Rain
Sun
Oceans
Wind
I don't know ... yet!
how many powers with an exponent of 2 are there between 1 and 100?
There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.
We need to count the number of perfect squares between 1 and 100. These include:
1² = 1
2² = 4
3²= 9
4² = 16
5² = 25
6² = 36
7²= 49
8² = 64
9² = 81
10² = 100
So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.
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PLEASE HELP THISIS GETTING TIMED
Answer:
30/34 =
Step-by-step explanation:
What is the area of a rectangle with a length of 35 feet and width of 27 feet?
A)
124 ft?
B)
472.5 ft2
C)
945 ft2
D)
961 ft2
Answer:
multiply both numbers and if im correct it should be 124ft sorry if im wrong
Follooww me on iiii---nnnn---sss--tttt--aa---ggg--rrr--aaa---mmm-
i-n--s-t-a-g-r--a==m
Stewart.lil2-----
Answer:
ok sure
Step-by-step explanation:
Area of a circle 6ft
Answer:
Ok
Step-by-step explanation:
What do you want us to figure out? Did you forget the picture?
Multiply your answer in the first question (the number of
3
weeks) by Did you get 3 as a result? If not, revise
4
your previous work.
A. Yes, I got 3.
B. No, I did not get 3. I had to revise my previous work.
A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Answer: 0.25 pound of beef are needed to make 80 meals.
Step-by-step explanation:
Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.
Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20
= [tex]\dfrac{5}{20}[/tex] pound
[tex]=\dfrac{1}{4} [\text{Divide numerator and denominator}][/tex]
=0.25 pound
Hence, 0.25 pound of beef are needed to make 80 meals.
share 350m in the ratio of 3:7
Answer:
105 , 245
Step-by-step explanation:
Ratio = 3 : 7
3x , 7x
3x + 7x = 350
10x = 350
x = 350/10
x = 35
3x = 3*35 = 105
7x = 7 *35 = 245
when you Subtract: 70-(-11) what is your answer
Answer:
81
Step-by-step explanation:
Rectangle garage length is 6.6 meters.The width is 6 times shorter then the length. What is the width?
Answer: width = 1.1 meters
Step-by-step explanation:
The length of Rectangle garage =6.6m
Width = 6 times shorter than length
Therefore width = 6.6/ 6
= 1.1 m
Answer:
1.1
Step-by-step explanation:
What angle has a degrees over 180?
Right
Rex
Straight
Acute
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
Please help need the answer now!!
Answer:
The answer would be D
Step-by-step explanation:
In order for a problem to be infinite, it must be 0=0. But since this is equal, and can equal 0=0, it would be d
For the equation Y = 2x - 3, complete the table for the given values of X
X Y
-1
1
3
Given:
The equation is:
[tex]y=2x-3[/tex]
The x-values in the given table are -1, 1, 3.
To find:
The y-values for the given x-values in the table.
Solution:
We have,
[tex]y=2x-3[/tex]
At x=-1,
[tex]y=2(-1)-3[/tex]
[tex]y=-2-3[/tex]
[tex]y=-5[/tex]
At x=1,
[tex]y=2(1)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
At x=3,
[tex]y=2(3)-3[/tex]
[tex]y6-3[/tex]
[tex]y=3[/tex]
Therefore the required table is:
x y
-1 -5
1 -1
3 3
In 1-4 match each scatter plot to the equation that could represent the equation of its trend line. (Not all of the choices will be used)
Answer:
Please Be more specific
Step-by-step explanation:
Over the past few years Donald made 40 trips to the amusement park. He drove 400 km in all. The distance travelled by him on each trip to the park is:
Answer:
10
Step-by-step explanation:
Answer:
10 km
Step-by-step explanation:
total no of km covered=400
total no of trips=40
distance in each trip= 400/40
=10km
Changing all of the values in a data set in the same way is called
transcending the data.
A. True
B. False
Answer:
not sure forggive me if im wronng maybe B. false
Step-by-step explanation: