Step-by-step explanation:
use the formula:
[tex]v = u + at[/tex]
v = 30 [final velocity]
u = 10 [initial velocity]
a = 2 [acceleration]
solve for t [time]
Find the value for x.
Answer:
28.5
Step-by-step explanation:
The sum of the interior angles in a triangle is equal to 180
102 + x + 6 + x + 15 = 180
123 + 2x = 180 subtract 123 from both sides
2x = 57 divide both sides by 2
x = 28.5
A motorboat leaves a harbor and travels at an average speed of 8 mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of 16 mph toward the same island. In how many hours after the cabin cruiser leaves will the cabin cruiser be alongside the motorboat
Answer:
2 hours.
Step-by-step explanation:
From the question given above, the following data were obtained:
Speed of motorboat (sₘ) = 8 mph
Speed of cabin cruiser (s꜀) = 16 mph
From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.
Let t be the time for the cabin cruiser.
Thus, the time for the motorboat will be (2 + t)
Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.
With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:
Speed of motorboat (sₘ) = 8 mph
Time for motorboat (tₘ) = t + 2
Speed of cabin cruiser (s꜀) = 16 mph
Time for cabin cruiser (t꜀) = t
Distance of motorboat = distance of cabin cruiser
Recall:
Distance = speed × time
Therefore,
sₘ × tₘ = s꜀ × t꜀
8 × (t + 2) = 16 × t
Clear bracket
8t + 16 = 16t
Collect like terms
16 = 16t – 8t
16 = 8t
Divide both side by 8
t = 16 / 8
t = 2 hours
Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.
If f(x)= x squared and g(x)=2x^3- x squared, find f(x)-g(x).
Answer:
[tex]f(x)-g(x)=2x^2(1-x)[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]
We need to find the value of f(x)-g(x).
Put the values of f(x) and g(x). So,
[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]
So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].
How can i solve algeba equations
Answer:
what kind?
Step-by-step explanation:
and if its not a specific kind of algebra just use an algebra calculator
Answer:
Use PEMDAS
Step-by-step explanation:
First, solve inside the (P)arentheses. Next, calculate all (E)xponents. Then check to see which comes first in the equation: multiplication or division? Complete these in the order that they appear in the equation. Now, repeat the previous step with addition and (S)ubtraction. If all else fails, use MathPapa.
Solve for a.
m/F = 2/a
a=?
m/F = 2/a
ma = 2F | : m
a = 2F/m
m/f=2/a
a=?
a=2f/m
Step-by-step explanation:
Making a the subject.
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
2,600 seats
Step-by-step explanation:
x = total seats
1898 = .73x
x = 1898 / .73
hello i need some helppppp
Answer: 4
Step-by-step explanation: Because 4x5=20 and 20x4=80 than 80x4=320
Select the correct answer.
The function g(x) = x is transformed to obtain function h:
h(x) = g(x) - 5.
Which statement describes how the graph of h is different from the graph of g?
OA. The graph of h is the graph of g vertically shifted down 5 units.
OB.
The graph of h is the graph of g horizontally shifted right 5 units.
OC. The graph of h is the graph of g horizontally shifted left 5 units.
D. The graph of h is the graph of g vertically shifted up 5 units.
Answer:
A
Step-by-step explanation:
equation is of the form f(x) - a which implies a translation downwards of a units
Gabriella is organizing textbooks on her bookshelf. She has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
Answer:
24
Step-by-step explanation:
We call:
A - Spanish textbook
B - Biology t.b.
C - Histoey t.b.
D - Writing t.b.
U can have:
ABCD
ABDC
ACDB
ACBD
ADBC
ADCB
BACD
BADC
BCDA
BCAD
BDAC
BDCA
etc..
U have 6 for each letter.
6×4=24
Gabriella can line up her textbooks in 24 different ways on her bookshelf.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
Gabriella has a Spanish book, a biology book, physics book, and a health text book.
We have;
She has a total of 4 books in her book shelf.
So, the number of positions in which the books have to be put are four.
As we can see,
The books are only one in number each. So, the choices are not repeatable.
So, In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.
So, the total different ways in which she can line up her books in the bookshelf are,
= 4×3×2×1
= 24
Thus, There are 24 different ways possible.
Learn more about combinations, visit,
brainly.com/question/11732255
#SPJ3
i will be thankful if u helped me
Answer:
for question #33 is D because you have to find the one how much one of your angle is :)
and for question#34 is F
This question below.
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.4 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.22 psi and 0.24 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answer:
H0 : u ≥ 10 against the claim Ha: u < 10
Step-by-step explanation:
The mean breaking strength of a ceramic insulator must be at least 10 psi.
(At least means greater or equal to ). As it is already given in the data the null and alternate hypotheses will be formulated according to it.
H0 : u ≥ 10 against the claim Ha: u < 10
The null hypothesis is the mean breaking strength of a ceramic insulator must be at least 10 psi
and the alternate hypothesis is
the mean breaking strength of a ceramic insulator is less than 10 psi
find the numerical coefficient of 7x^3
Answer:
7
Step-by-step explanation:
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
A. 4 ft 2 in.
B. 4 ft 1 in.
C. 4 ft 1/2 in.
D. 5 ft
Answer:
i think it was A
What sum of 500+1000
the answer would be 1500
PLSS HELP ASAP!!!
PLSS ASAPP
Answer:
C) 297 cm²
Step-by-step explanation:
1/2(22)(27)=297
graphing exponential functions and then State the domain, range and asymptote
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
vertical stretch by a factor of 'a'horizontal compression by a factor of 'b'translation right by 'c' unitstranslation up by 'd' unitsFor many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
the domain is "all real numbers"the range is all numbers above the asymptote: f(x) > 0the horizontal asymptote is f(x) = 0The function is a growth function, so ...
x → -∞, f(x) → 0x → ∞, f(x) → ∞_____
Additional comment
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
What property is this 1 + 2 = 2 + 1
Answer: equality of a equation
132.721 rounded to the nearest hundredth.
Would you please help me with this?
Answer:
F
Step-by-step explanation:
An undefined slope means it's just a STRAIGHT VERTICAL line since there's no slope.
The answer would be F because it's a vertical line.
how many grams is 1.7kilograms
Answer:
1700 grams...
Step-by-step explanation:
PLS HELP!!!!!!!!!!!
Answer:
x=100
Step-by-step explanation:
x+80=180...(angles on a straight line add up to 180 degrees )
x=180-80
x=100
Answer:
Vertical angles x= 100 sorry if i'm wrong
Step-by-step explanation:
This recipe makes 30 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 30
120 g butter
60 g sugar
180 g flour
Answer:
24 g butter
12 g sugar
36 g flour
Step-by-step explanation:
The recipe makes 30 shortbread fingers.
She wants to make 6 fingers.
6/30 = 1/5
She wants to make 1/5 of the recipe, so she needs 1/5 of each ingredient's amount.
Divide each amount by 5.
Recipe:
Makes 30 30/5 = 6 Makes 6
120 g butter 120/5 = 24 24 g butter
60 g sugar 60/5 = 12 12 g sugar
180 g flour 180/5 = 36 36 g flour
CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES
Answer:
A and C
Hope this helps!!!! :)
b) The diagram shows a straight line L.
i) Find the equation of line L.
Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = [tex]\frac{0-6}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - 2x + 6 ← equation of line
4) Triangle F and triangle G are shown below. Which sequence does not transform triangle F to
triangle G?
A) a 180° clockwise rotation about the origin
B) a 180° counterclockwise rotation about the origin
C) a reflection over the x-axis and then
a reflection over the y-axis
D) a reflection over the y-axis and then a
90° clockwise rotation about the origin
Answer:
D) a reflection over the y-axis and then a
90° clockwise rotation about the origin
Answer:
D) a reflection over the y-axis and then a
90° clockwise rotation about the origin
Find the length of AB?
Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio for the given triangle, we get
[tex]\cos A=\dfrac{AB}{AC}[/tex]
[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}\times 10=AB[/tex]
[tex]5=AB[/tex]
Therefore, the length of AB is 5 units.
i need a little help here
Answer:
D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M.
Step-by-step explanation:
Pay attention to the times, and the amount of time the given location is open.
Only option D makes sense since the clinic open for 11 hours and the difference from the times given is exactly 11 hours; the other options are off, some give longer, and some give fewer amount of time.
Answer:
The clinic opened at 7:30AM and closed at 6:30PM
Step-by-step explanation:
The gragh shows The clinic opean 11 hours.
So It 7:30+11h= 18:30=6:30PM
SO This one is correct
Pete’s Painting charges $25 per room to paint, plus an additional $0.50 per square foot that they paint. If they charged me $201 to paint my kitchen, how many square feet did they paint?
Answer:
352 square feet
Step-by-step explanation:
201-25=176
176/.50=352 square feet
May I get some help with this problem?