Answer:
The function that relates the distance traveled d to the time t is
f(t) = 110t, where d = f(t)
Step-by-step explanation:
From the question, we were told that the train is At a constant speed, the train travels 330 kilometers in 3 hours
We were told to write function that relates the distance traveled d to the time t, we can do this by writing a linear equation with those functions
Since we are told that the train travels 330 kilometers in 3 hours, then we can say the train travel (330/3) kilometers in 1 hour which means it travel 110 kilometers in 1 hour
Then d= 110t---------------eqn(1)
If if t = 0, then d = 0, as well since at t=0 the train is at the station
At t = 1 then d = 110.
From equation (1) d can be replaced by f(t) then we have
f(t) = 110t----------------eqn(2)
Now we replace d by f (t), because d = f t):
f(t) = 120t
Therefore, The function that relates the distance traveled d to the time is f(t) = 120t
What is that "break even" cost? *
Answer:
$61
Step-by-step explanation:
When each company sells 6 shirts, they have $48 (CS) and $45 (TT). When you add their shipping prices, they both have $61.
if L is parallel to M, find the value of each variable(s)
Answer:
see below
Step-by-step explanation:
5. 9x + 2 = 119° alternate interior angles are congruent
9x = 117
x = 13°
6. 12x - 8 + 104° = 180° same side interior angles are supplementary
12x + 96 = 180
12x = 84
x = 7°
7. 5x + 7 = 8x - 71 alternate exterior angles are congruent
-3x = -78
x = 26°
8. 4x - 7 = 7x - 61 corresponding angles are congruent
-3x = -54
x = 18°
9. 9x + 25 = 13x - 19 corresponding angles are congruent
-4x = -44
x = 11°
13x - 19 + 17y + 5 = 180° straight line adds up to 180°
13(11) - 19 + 17y + 5 = 180
143 - 19 + 17y + 5 = 180
17y + 129 = 180
17y = 51
y = 3°
10. 6x - 7 + 3x - 29 = 180° same side interior angles are supplementary
9x - 36 = 180
9x = 216
x = 24°
6x - 7 = 8y + 17 vertical angles are congruent
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
137 = 8y + 17
120 = 8y
y = 15°
11. 49 + 3x = 7x - 23 corresponding angles are congruent
-4x = -72
x = 18°
3x = 11y - 1 corresponding angles are congruent
3(18) = 11y - 1
54 = 11y - 1
55 = 11y
y = 5°
12. 5x - 38 = 3x - 4 alternate interior angles are congruent
2x = 34
x = 17°
7y - 20 + 5x - 38 + 90 = 180° sum of triangle interior angle equals 180
7y - 20 + 5(17) - 38 + 90 = 180°
7y - 20 + 85 - 38 + 90 = 180°
7y + 117 = 180
7y = 63
y = 9°
A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?
Answer:
Step-by-step explanation:
pls help me answer this
Answer:
The answer for the question is "C. 180"
What is the slope of 2,10 and 4,20 please answer rn
Answer:
2/10?
Step-by-step explanation:
Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]
Isosceles triangle MNis shown below with MN ~= PN. Ray NQ bisects angle MNP and intersects side MP at point Q. Name three pairs of congruent angles
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are obtuse, scalene, equilateral, isosceles etc.
An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.
Since ΔMNP is an isosceles triangle with MN = PN, then:
∠QMN = ∠QPN (base angles of an isosceles triangle are equal)
∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)
∠MQN = ∠PQN (right angles)
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
How many five card hands can
be dealt from a standard deck of
52 cards?
Answer:
2
Step-by-step explanation:
Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0.
Answer:
1/6
Step-by-step explanation:
sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1
what is the slope of the graph of y=12x-19
Answer:
The slope is 12
Step-by-step explanation:
Remember the slope formula y=mx+b
m= the slope
b= y-intercept
What is 5 + 5 + 5 + 5 + 5 (5 x 4) Easy question so you can get points! Explain and get brainliest!
A) 45
B) 120
C) 100
D) 25
Answer:
A) 45
Step-by-step explanation:
BECAUSE 5 + 5 + 5 + 5 + 5 = 25
and 5 x 4 = 20
So, 25 + 20
= 45
Un agricultor tiene una finca de una hectárea la mitad le dedica a cultivar tomates los 2/5 lo dedica a lechugas y el resto cebollas. A qué fracción dedicará cebollas. B qué superficie dedica a cada cultivo.
The given area of the farm, A_0=1 hectare.
The fraction of the farm for cultivating tomatoes = 1/2
The fraction of the farm for cultivating lettuce = 2/5
The remaining fraction of farm for onion = 1-(1/2+2/5)=1/10
Therefore, the fraction of farm dedicated to onion is 1/10.
Now, the area dedicated to tomatoes = 1/2 of the area of land.
=1/2 x 1 = 1/2 hectare.
The area dedicated to lettuce = 2/5 of the area of land.
=2/5 x 1 = 2/5 hectare.
The area dedicated to onion = 1/10 of the area of land.
=1/10 x 1 = 1/10 hectare.
plz help me with this homework i have
The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?
The drama club can purchase at least 1.428 programs
The drama club can purchase at most 1.428 programs
The drama club can purchase 1,429 programs
The drama club can purchase 4000 programs
Answer:
The drama club can purchase 1429 programs
Step-by-step explanation:
simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]
Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
a. convert the raise as a percent into a decimal, then add 1
20% = 0.2
0.2 + 1 = 1.2
b. multiply the number by the original salary
1.2 * 1500
1800
Answer:
$ 1800
Step-by-step explanation:
Rise in payment = 20% of 1500
[tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]
New weekly wage = 1500 + 300
= $ 1800
Which function has the same range f(x) =-5/7 (3/5)^x? Hurry !!!
answer is
B). g(x) = -5/7 (3/7)^-x
Answer: b
g(x) = -5/7 (3/7)^-x
Step-by-step explanation: have a great day :)
please help, im desperate
Answer:
i think 124...is the answer
HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The guy above me was correct. I got a 99% on my test.
What is the 30th term of the linear sequence below?
−5,−7,−9,−11,−13
,
2-1/3x=1/6x+1
x=?
Merry Christmas
Answer:
x=2
Step-by-step explanation:
Thanks sweetheart <3
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
what is the answer to this?
Answer:
[tex] < 1 = 48[/tex]
Step-by-step explanation:
[tex] < 1 + 132 = 180[/tex]
[tex] < 1 = 180 - 132[/tex]
[tex] < 1 = 48[/tex]
because it's a straight angle(180)
What is 135 less than the product of 57 and 219?
Answer: something in the negatives
Step-by-step explanation:
y=x+6
x+y=8
now graph 3 points on the line x+y=8
Answer:
y=2
Step-by-step explanation:
advgdsfh usb hey do f ft h
Problem
Solve for x
x + 5 = 10
——-
2
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5
Step-by-step explanation:
Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below.
If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?
Answer:
the answer is B i think ..............