1 over 14 to the power of negative 1

Kate will need 3/8 cup of sugar.

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.

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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:

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.

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

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.

A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.

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.

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.

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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).

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.

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Answer:

it is 12.2

Step-by-step explanation:

Answer:

this also I do not know plz tell answer is will also practice

Answer:

  4n +28

Step-by-step explanation:

Tommy's purchases add up to ...

  4n +10 + 18 = 4n +28

Answer:

27kg

Step-by-step explanation:

each kilogram of apples are $10 so you do 270 divided by 27 is 10

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)

Answer:

It is Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

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

Answer:

D and C

Step-by-step explanation:

Answer:

All real numbers except 6

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.

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

Answer:

Could you please finish the question?? I don't get you.

I think you understand why there is no answer. My apologies!!

✨Thanks!!!✨

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

Answer:

Jada drank 3/4 times as much water as Elena.

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)

C.D.And E..

I'm sure..

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

Answer:

1020

Step-by-step explanation:

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]

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

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

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.