[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]
a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.
Answer:
26cm^2
Step-by-step explanation:
Base = 8cm
Height = 6.5cm
[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]
Substitute values into the given equation
[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]
please answer asap please
Answer:
( 6,-1)
Step-by-step explanation:
Point B is at ( 0,3)
We are going down 4 units so subtract 4 from y
and going right 6 units so add 6 to x
(0+6 , 3-4)
( 6,-1) is the location of B'
Answer:
B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)
if It is known that 5
Answer:
Could you please finish the question?? I don't get you.
I think you understand why there is no answer. My apologies!!
✨Thanks!!!✨
A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
a) What is the angular velocity of the wheel? (in radians/sec)
Select an answer
b) At what linear velocity is the hamster running? (in cm/sec)
Select an answer
One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.
The angular velocity of the wheel is 3.665 radians/sec.
The linear velocity is the hamster running is 47.648 cm/sec.
GivenA hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
What is angular velocity?Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.
The angular velocity of the wheel is given by;
[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]
The angular velocity of the wheel is 3.665 radians/sec.
What is linear velocity?Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.
The linear velocity is the hamster running is given by;
[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]
The linear velocity is the hamster running is 47.648 cm/sec.
To know more about Angular velocity click the link given below.
https://brainly.com/question/88155
BRANLIEST!!! The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater
maximum value, and provide the ordered pair.
Function 1
f(t)
1.5
0.5
-05
-15
Function 2
f(x) = -x2 + 2x- 15
Function 1 has the larger maximum at (4,1).
Function 1 has the larger maximum at (1,4).
Function 2 has the larger maximum at (-14, 1),
Function 2 has the larger maximum at (1, -14)
Answer:
Function 2 has the larger maximum at 1, -14
Explanation:
When you graph the equation, you can find the maximum of function 2 at 1, -14
Yo someone please help me out
Since we know sin^2 θ = (sin θ)^2
In our problem,
sinθ = 2/sqrt(3)
Let's plug this value into our expression above.
(2/sqrt(3))^2
Let's square both terms individually.
2^2 = 4
(sqrt(3))^2 = 3
The final answer = 4/3
1.Solve : 3(5 + 7) - 4(8 + 4) = * 2.solve:-7 x -10 ill give you an free robux account if you get them correct
Answer:
1) -12, 2) 70
Step-by-step explanation:
Hope this helps :)
Answer:
oh someone got it already :(((( ugh
Step-by-step explanation:
ro bux
Elena drank 3 liters of water Yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
Answer:
Jada drank 3/4 times as much water as Elena.
Please Help!! 10 points! Brainliest Answer! 2 questions
Answer:
D and C
Step-by-step explanation:
Is 0.3529 irrational or rational
Answer:
It is Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Tommy goes to Lowe's to buy some supplies for his yard. He buys 4 plants for n dollars, a 10-gallon bucket for $10, and a bag of fertilizer for $18. Write a simplified expression that can be used to represent the total cost Tommy will purchase at Lowe's.
Answer:
4n +28
Step-by-step explanation:
Tommy's purchases add up to ...
4n +10 + 18 = 4n +28
If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D Which property is shown?
Answer:
Substitution Property
Step-by-step explanation:
So we know that:
[tex]m\angle A=m\angle B[/tex]
And we also know that:
[tex]m\angle A+m\angle C=\angle D[/tex]
And by using a specific property, we get that:
[tex]m\angle B+m\angle C=\angle D[/tex]
Essentially, we substituted B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
If a recipe calls for three-quarters of a
cup of sugar but Kate only wants to
make half of the recipe, how much sugar
will she need?
Kate will need 3/8 cup of sugar.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Cups of sugar needed for a recipe= 3/4
Now Kate only wants to make half of the recipe
Cups of sugar needed for a half of the recipe = Cups of sugar needed for a recipe / 2
⇒ Cups of sugar needed for a half of the recipe = 3/4 ÷ 2
⇒ Cups of sugar needed for a half of the recipe = 3/8
Thus, Kate will need 3/8 cup of sugar.
To learn more about fractions:
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HELP!! -5/8 - (-4/3) = x What is x?
Answer:
x = [tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x
Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus
- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x
Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions
- 15 + 32 = 24x
17 = 24x ( divide both sides by 24 )
[tex]\frac{17}{24}[/tex] = x
True False: Complementary angles sometimes fom straight angles
Answer:
False
Step-by-step explanation:
Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.
Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...
Answer:
an = 6 +8(n -1)
Step-by-step explanation:
Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference.
Here, the differences are ...
14 -6 = 8
22 -14 = 8
30 -22 = 8
These are all the same, hence a "common" difference. The first term is 6, so the general term is ...
an = 6 +8(n -1)
Jamal drew the function below. Which explains whether or not his function is linear?
His function is linear because it graphs out a straight line. If you were to pick any two points on that line, and find the slope, you should find that the slope is the same no matter which two points you picked.
Answer:
linear
Step-by-step explanation:
there's a constant rate of change/constant slope and the function is a straight line
Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?
Answer:
this also I do not know plz tell answer is will also practice
10. The sum of the percent of dark red SUVs and white SUVs was
26.3%. What was the percent of dark red SUVs?
Answer:
it is 12.2
Step-by-step explanation:
F(x)=9(x-8) find f^-1(x)
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )
[tex]\frac{y}{9}[/tex] + 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
The coordinates of figure PQRS and its image P'Q'R'S' are written below. P(2,2) Q(5,2) R(5,6) S (2,6). P'(-6,2) Q'(-3,2), R' (-3,6) S(-6,6) Which single transformation can map figure PQRS onto figure P'Q'R'S'?
Answer:
A reflection across the Y-axis
Step-by-step explanation:
The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
The figure PQRS is reflected on the y-axis and translated left to 1 unit.
Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
To learn more about the transformation visit:
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What is the domain of f(x) + g(x)
Answer:
All real numbers except 6
A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricate 300 seats per day if 600 seats have already been made how long will it take for the factory to finish 7500 seats in total? Can someone help me solve this!
Answer:
23 days
Step-by-step explanation:
We are told that the stadium holds 7500 individuals.
Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats
We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days
Thus, it will take 23 days to complete all the 7500 seats.
A factory makes 5,301 plastic forks per hour. How many plastic forks will the factory make in 51 hours?
Find b for the following right angled triange where a=5 and c=13
whats commutative property of multiplication.
Answer:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
Step-by-step explanation:
which angels are corresponding angles check all that apply
C.D.And E..
I'm sure..
If this answer helps you plz mark as brainlist..TqEvery month, Carmine's savings account pays 0.049% interest on the amount in the account. If
she has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?
$53.90
$49.00
$0.54
S0.49
Answer:
interest rate (r)=0.049%
principal (p) =1100
Time (t)= 1/12
interest = (1100*1/12*0.049)/100 = 0.045
please check question once
4 to the second power is the same as 4 squared. True or false ?
Answer:
False.
Step-by-step explanation:
21 kg of apples cost $210 how many kilograms of apples can you get with $270?
Answer:
27kg
Step-by-step explanation:
each kilogram of apples are $10 so you do 270 divided by 27 is 10