Here is a linear sequence.
4 11 18 25
Work out an expression for the nth term.
Answer:
7n-3
Step-by-step explanation:
You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
Answer:
D Option is the correct one.
Step-by-step explanation:
As,
Distance covered = 40km = 40000m(1k=1000m)
time = 10:15-9:00 = 1:15hours = 75mins
We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.
For calculating distance for one hour,
40000/75 = 533.33m/min (means they covered 533.33m distance in one min)
for one hour:
533.33*60= 32000m = 32km
They covered 32km distance in one hour.
Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.
So for A,
Sum = 19 + 15 =34 (wrong not equal to 32)
For B,
Sum = 18 + 13 = 31 (wrong)
For C,
Sum = 16 + 10 = 26(wrong)
For D,
Sum = 18 + 14 = 32 (Right)
And second distance b/w both distance is 4km.
18-14 = 4(Right)
So, D option is the right one.
I hope it will help you.
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
Please see help, please
Answer:
69
Step-by-step explanation:
420
Answer this and explain please
Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions
find the measure indicated angle that makes lines u and v parallel
Answer:
91°
Step-by-step explanation:
The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:
180°=x+89°
x=180°-89°
x=91°.
Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.
i need to know the answer to number one
Answer:
If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)
Step-by-step explanation:
Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)
Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.
What are the dimensions of the garden that Ricky Bobby made?
How much area was there inside the garden?
If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?
Helpp I don’t get this
Answer:
5.6 by 19.4
108.64 ft²
21 pumpkins
Step-by-step explanation:
Set length of shorter side as x. Then, the longer side is 4x - 3
He used 50 feet of board, which means, using the formula for perimeter:
x + 4x - 3 + x + 4x - 3 = 50
Simplify and solve.
10x - 6 = 50
10x = 56
x = 5.6
Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4
This means the dimensions of the garden are: 5.6 by 19.4
Area = length times width, so the area is 108.64 ft²
The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728
Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.
Z is the centroid of AUVW. U X Z W Y What is UY if UZ = 8? Ο Α. 4 B. 8 O C. 6 O D. 12
Help Please!!
Answer:
D
Step-by-step explanation:
The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
ZY = [tex]\frac{1}{2}[/tex] UZ = [tex]\frac{1}{2}[/tex] × 8 = 4
Then
UY = UZ + ZY = 8 + 4 = 12 → D
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!!! i will give brainliest.
Answer:
hope it helps
Step-by-step explanation:
[tex]\\ \sf\longmapsto y+4=2y-15[/tex]
[tex]\\ \sf\longmapsto 2y-y=19[/tex]
[tex]\\ \sf\longmapsto y=19[/tex]
m<K=23°m<N=23°[tex]\\ \sf\longmapsto 2x-3=5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PM=5Diagram attached
About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.
Answer:
200
Step-by-step explanation:
So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400
marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct
he would have to practice 20 minutes on friday
18 + 23 + 16 + 13 = 70
1.5 hours = 90 minutes
90-70 = 20 minutes
2/9
6(x + 7.50) = 4(2x + 9.50), what is the value of x?
Answer:
x=3.50
Step-by-step explanation:
6(x+7.50)=4(2x+9.50)
6x+45=8x+38
6x-8x=38-45
-2x = -7
x = -7/-2
x = 3.50
What is an equation of the line that passes through the points (-6, -5) and (-3, 0)?
Answer:
Y=5
Step-by-step explanation:
Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.
The answer is C, 6.6 miles.
Answer:
B
Step-by-step explanation:
I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.
SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?
Answer:
52$
Step-by-step explanation:
13 (75% off) so 13 is 1/4 the price.
13x4 = 52
Is this relation a function? Justify your answer. a 10 av DOO 4 3 - NA 1 2 3 4 5 6 7 8 9 10 A. Yes, because every x- and y value is positive. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same x-value have different y values. D. No, because two points with the same y-value have different x- values.
Answer:
The answer is C
Step-by-step explanation:
The inequality −3 < x is equivalent to the inequality x > −3.
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
(pls help quick and explain how you got the answers for brainliest)
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
Which street is perpendicular to 2nd Avenue and I also need to know what the slop would be of the new road be perpendicular to D street
Answer:
the answer is d street :)
there are 549 coins in a bottle. 1/3 of the coins are £1 coins. 164 of the coins are 50p coins. the rest are 20p coins. work out the total value of the 549 coins in pounds
Answer:
£ 305.4
Step-by-step explanation:
[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]
Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].
The numerical value of the mean voltage in the circuit is
The numerical value of the mean voltage is 25.47 V
To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]
So,
[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]
V ≅ 25.47 V
So, the numerical value of the mean voltage is 25.47 V
Learn more about mean volatage here:
https://brainly.com/question/17928028
slope of a line perpendicular to the line whose equation is 6x+4y=−56, fully reduced
Answer: Answer
1.0/5
1
angelinagalindo127
Ambitious
40 answers
2.2K people helped
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step
Step-by-step explanation: |\ /|
\|_|/
/. .\
=\_Y_/=
{>o<}
Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer:
2 friends
Step-by-step explanation:
20< 7.75(x) you have to have a less number than the total
PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.
Step-by-step explanation:
Given function:
f(x) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
please what is the answer fast very
Answer:
The answer is A (-2)^3 * 6^3
In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?
Answer:
D 20cos55º
Step-by-step explanation:
cos = adj/hyp
cos55 = adj/20
20cos55 = adj
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.
Answer: Number of weeks
Step-by-step explanation:
Just did it on Ed
Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1
Answer: The slope is 1/2 or 0.5