Write 0.2777 as a fraction in lowest terms:

total utensils = 3915

it is given that Mrs. Meester is purchasing supplies for her art class.

The arts are a very wide range of human practices of creative expression, storytelling and cultural participation. They encompass multiple diverse and plural modes of thinking, doing and being, in an extremely broad range of media. Both highly dynamic and a characteristically constant feature of human life, they have developed into innovative, stylized and sometimes intricate forms. This is often achieved through sustained and deliberate study, training and/or theorizing within a particular tradition, across generations and even between civilizations. The arts are a vehicle through which human beings cultivate distinct social, cultural and individual identities, while transmitting values, impressions, judgments, ideas, visions, spiritual meanings, patterns of life and experiences across time and space.

Mrs. Meester purchase some utensils for their scholars.

number of different types of utensils for each scholar are:-

total number of utensils for 1 scholar= 64+25+36+10

                                                            = 135

   64

   25

   36

+   10

   135

total number of utensils for 29 scholars=135*29

                                                                  =3915

hence, number of utensils Mrs. Meester buy= 3915

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Answer:

True I think yes goodluck

Using factorization, the factors of 2 x²+x-28 are x = - 4 and x = 7/2

The factorization approach simplifies any algebraic or quadratic equation by using the fundamental factorization formula, which represents the equations as the product of factors rather than extending the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a component.

Given equation is -

2 x²+x-28

we will use the method of factorization.

⇒ 2x² + 8x -7x -28

⇒ 2x(x+4) - 7(x+4)

⇒ (x+4) (2x - 7)

⇒ x = -4 and x = 7/2

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The unit rate at which Darrell walks is 1.5 meters per second.

Unit rate is defined as per unit time. Unit rate can be anything from speed, acceleration or any other measurement.

The quantity that is achieved in a single unit of time is called the unit rate.

The unit rate is calculated by dividing the total amount by total time that is taken to complete the total amount.

Here Darrell walks 90 meters in 60 seconds.

The unit time to be considered here is 1 second.

so Darrell walks a certain amount of distance in 60 seconds.

Therefore the unit rate in which he walks = total distance covered ÷ total time taken

∴ unit rate = 90 ÷ 60 meters per second = 1.5 meters per second.

Disclaimer : The complete question is : In 60 seconds, Darrell walks 90 meters. Find the unit rate at which Darrell walks.

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Answer:

  1

-------

mn³

Step-by-step explanation:

              ¹/₂

( m²n⁻⁶ )

-----------

( m⁴p⁰ )

( mn⁻³ )

-----------

( m² )

m - m² = m⁻¹

   1

--------

 mn³

I hope this helps!

Answer:

The width, x, is in the interval (0, 7), or 0 < x < 7.

Step-by-step explanation:

width = x

length = 7x + 7

area = x(7x + 7)

x(7x + 7) < 392

7x² + 7x - 392 < 0

x² + x - 56 < 0

(x - 7)(x + 8) < 0

We have two points of interest on the number line:

-8 and 7

That makes three intervals of interest:

(-∞, -8), (-8, 7), (7, ∞)

Now we test a number from each interval.

Try -10:

(x - 7)(x + 8) < 0

(-10 - 7)(-10 + 8) < 0

(-17)(-2) < 0

34 < 0 False

Interval (-∞, -8) does not work.

Try 0:

(x - 7)(x + 8) < 0

(0 - 7)(0 + 8) < 0

(-7)(8) < 0

-56 < 0 True

Interval (-8, 7) works.

Try 10:

(x - 7)(x + 8) < 0

(10 - 7)(10 + 8) < 0

(3)(18) < 0

54 < 0 False

Interval (7, ∞) does not work.

Since we are dealing with a rectangle, the length and width must be positive numbers.

The interval (-8, 7) works mathematically for the width, but it must be limited to positive numbers, so the width must be in the interval

(0, 7)

Answer:

gdjsgsghdbdgdjdnvshskdndhdhdhdbbdbdhdhdhd

Answer:

option D for you I have brainly plus and that's the answer I got.

When the value of the variable x is greater than or equal to -3, the result returned by the even function is 3.

x=-1x=−1x, equals, minus, 1, Then the correct option is C.

A true function f(x) is an even function if the yield value of the function f(-x) is the same as the value returned by the function f(x) for all values of x that fall within the domain of f.

It is recommended that the equation be saved in an even function:

f(-x) = f(x)

Therefore

f(x) = f(3) = 3

Let's assume that f(x) is a function that always returns even. Then there is also

f(-3) = f(3) = 3

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CQ

Select all input values for which f(x)=3f(x)=3f, left parenthesis, x, right parenthesis, equals, 3.

Choose all answers that apply:

(Choice A)

A

x=-5x=−5x, equals, minus, 5

(Choice B)

B

x=-3x=−3x, equals, minus, 3

(Choice C)

C

x=-1x=−1x, equals, minus, 1

(Choice D)

D

None of the above

(−∞,2)

Im just writting this bc the app said the answer was to short :)

Greg will pay $25.99 for one ink cartridge after the rebate.

As stated in the question, rebate is the refund that customer receives. It is part of the amount paid. So, it can be easily deducted from the total amount. To find the payment amount, we will simply subtract rebate amount from ink cartridge cost.

Keep the values in mentioned relation to find the payment amount to be given by Greg for one ink cartridge.

Payment = 35.99 - 10

Performing subtraction to find the payment amount to be given by Greg

Payment = 25.99

Hence, the payment of $25.99 will be done by Greg for one ink cartridge after the rebate.

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The total number of 3/4 bags of pecans that Lisa can make will be B. 16.

From the information, Lisa gathered and shelled 12 lbs of pecans from her backyard and she is going to make 3/4 Ib bags of pecans for gifts.

Therefore, the total number of 3/4 bags of pecans that Lisa can make will be:

= 12 ÷ 3/4

= 12 × 4/3

= 16

She can make 16 bags.

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The logarithm expression can written as log₆ 24 - log₆ 4 = 1

There are 7 properties of logarithms: Product Rule, Quotient Rule, Power Rule, Zero Rule, Identity Rule, Inverse Property of Logarithm, Inverse Property of Exponent, Change of base formula.

In this question, we use the Quotient Rule of logarithms.

Quotient rule of logarithms states that the logarithm of a quotient is equal to a difference of logarithms.

Example: logₐ (x/y) = logₐ x - logₐ y

So, we get that:

log₆ 24 - log₆ 4

= log₆ (24 / 4)

= log₆ 6

which will also be equal to

= 1

Therefore, in the equation log₆ 24 - log₆ 4 = 1 and the property of the quotient rule of logarithms is used.

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=========================================================

Explanation:

Let's evaluate what i^97 would be

First let's list out a few powers of i. Recall that [tex]i = \sqrt{-1}[/tex]

[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = (\sqrt{-1})^2 = -1\\\\i^3 = i*i^2 = i*(-1) = -i\\\\i^4 = i*i^3 = i*(-i) = -i^2 = -(-1) = 1\\\\[/tex]

In short,

[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\[/tex]

The sequence is: 1, i, -1, -i, 1, ...

The process repeats once we get to the fourth item. In other words, the process repeats every 4 terms.

So to quickly compute i^97, we'll divide the exponent by 4 to look at the remainder.

97/4 = 24 remainder 1

The remainder 1 means i^97 = i^1 = i

If we got a remainder 2, then it would be equal to i^2

Remainder 3 means it's equal to i^3, and so on.

-------------------

Here's another way to see why i^97 = i

i^97 = i^(96+1)

i^97 = i^96*i^1

i^97 = i^(24*4)*i

i^97 = (i^4)^24*i

i^97 = 1^24*i

i^97 = 1*i

i^97 = i

This helps verify the previous section. Though I recommend using the remainder trick as it's faster.

----------------------

So because i^97 = i, this means:

i^97 - i = i - i = 0

This is why 0 is the final answer (choice B).

Based on the fact that Sierra wants to purchase a M dozen muffins and B boxes of cinnamon, the inequality to show how many items Sierra can buy is 3.50M + 4.25B ≤ 25

The amount that Sierra can spend at most is $25 which means that the boxes of cinnamon buns and the muffins should not exceed this $25.

The cost of the muffins is $3.50 each so the representation is:

= 3.50M

The cost of the cinnamon buns is 4.25B which can be represented as:

= 4.25B

The inequality is therefore:

3.50M + 4.25B ≤ 25

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The characteristics of the parallelogram and star gives;

Parallelogram;

Rotational symmetry: Yes

Point symmetry: Yes

Star:

Rotational symmetry: Yes

Point symmetry: Yes

Rotational symmetry is one in which a shape assumes its original appearance after a rotation.

Point symmetry are the property of two points that are equidistant from and on opposite sides of the coordinate axis

The parallelogram has rotational symmetry of 180°

The parallelogram has point symmetry

Therefore;

Parallelogram:

Rotational symmetry; Yes

Point symmetry; Yes

The star has rotational symmetry of 360°/5 = 60°

Given that points on the star when rotated about its center can be made to match up with opposite side, it is said to have point symmetry.

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Answer:

see below

Step-by-step explanation:

solve for y

y-4/x = a

Add 4x to each side

y-4/x+4/x = a+4x

y =  a+4x

If the equation is

(y-4)/x = a

Multiply each side by x

(y-4)/x *x = a*x

y-4 = ax

Add 4 to each side

y = ax+4

Answer:

y = a + 4/x

Step-by-step explanation:

-add 4/x to both sides: y - 4/x + 4/x = a + 4/x

- simplify: y = a + 4/x

The exponential function that has a y-intercept of (0, 3) and passes through the point (2, 48) is y = 3 · 1.386ˣ.

Herein we are asked to derive the exponential formula of the form y = a · bˣ that has a y-intercept of (0, 3) and passes through the point (2, 48). By using logarithm properties, the expression can be modify into this linear-like expression:

㏑ y = ㏑ a · bˣ

㏑ y = ㏑ a + x · ㏑ b

By substituting x and y, we find the following system of equations:

㏑ 3 = ㏑ a                              (1)

㏑ 48 = ㏑ a + 2 · ㏑ b           (2)

By (1):

a = 3

(1) in (2):

㏑ 48 = ㏑ 3 + 2 · ln b

㏑ b = (1 / 2) · ㏑ (48 / 3)

b ≈ 1.386

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Answer:

Step-by-step explanation:

The graph for the function h(x) = x² + 2x is given by the graph -

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

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Answer: See attached.

Step-by-step explanation:

        This function will be a parabola (shaped like a "U")because it is a quadratic function. A quadratic function is in the form of y = ax² + bx + c. Our a value is 1, our b value  is 2, and we do not have a c value.

How would we graph this?

        Since a = 1, our quadratic function has a "slope" of 1. This means that we will count up one and right one, and up one and left one from the vertex and plot those points.

        Next, our b value is 2. This means we move the graph left 2 points from the parent function (y = x²).

        Lastly, we do not have a c value, so the graph is not transformed ("moved") up or down.

The angles which form a linear pair are 40° and 140°.

Linear pair is defined as the pair of angles which add up to 180 degrees.

When two straight lines intersect with one another then 4 angles are formed. Any two adjacent angles thus formed are a linear pair.

Let us consider one angle be x . Now another angle is 3.5 times this angle.

Therefore measure of second angle = 3.5x

Now if these two angles are a linear pair then their sum will be equal to 180°.

Therefore we can form a linear equation in x and solve to get the values of the angles.

∴3.5x + x = 180°

or, 4.5x = 180°

or, x = 180 ÷ 4.5

or, x = 40°

Measure of the second angle = 3.5 × 40° = 140°

Hence the two angles which form a linear pair are  40° and 140° .

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Substitute the √2 with a letter a to expand the expression. Multiply individual components of the first bracket with the second bracket. Apply the index power rule to simplify raised numbers.

(1-2√2)(1+2√2) = (1-2a)(1+2a)

1(1+2a)-2a(1+2a) = 1+2a-2a-2a2a = 1+2a-2a-4a^2

a = √2,

1+2√2 -2√2 -4(√2 )^2 = 1-4( 2^1/2x2)

1-4(2) = 1-8

= -7

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Converting the radicals into exponent numbers, √3 (⁴√3) = ⁴√27

To work with radical numbers or roots, it is easier to express them in exponent:

[tex]\sqrt[n]{a^{b}}=a^{\frac{b}{n}[/tex]

Recall the rules of exponent operations:

Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.

Example:

[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]

Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.

Example:

8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2

The given problem:

Simplify  √3 (⁴√3)

[tex]\sqrt{3}=3^{1/2}[/tex]

[tex]\sqrt[4]{3} =3^{1/4}[/tex]

Hence,

[tex]\sqrt{3}.\sqrt[4]{3} =3^{1/2}.3^{1/4}\\ =3^{1/2+1/4}=3^{3/4}\\ =\sqrt[4]{3^{3}}= \sqrt[4]{27}[/tex]

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Problem 37

We subtract 1 from all three parts to isolate the variable x.

-5 < x+1 < 4

-5-1 < x+1-1 < 4-1

-6 < x < 3 is the final answer

========================================================

Problem 40

Let's isolate the 3x portion first. To do this, we add 1 to all three sides.

2 < 3x-1 ≤ 6

2+1 < 3x-1+1 ≤ 6+1

3 < 3x ≤ 7

Then we divide all parts by 3 to fully isolate x.

3/3 < 3x/3 ≤ 7/3

1 < x ≤ 7/3 is the final answer

Answer:

1/36

Step-by-step explanation:

To find the probability of rolling a 2 AND a 3, you must multiply the probabilities of each individual outcome.

The probability of rolling a 2 on a 6 sided cube is 1/6.

The probability of rolling a 3 on a 6 sided cube is also 1/6.

So, to get the probability of both of those things happening:

(1/6) x (1/6) = 1/36

The average rate of change of fuel efficiency = -3 gallon per hour

Fuel efficiency of the cooper when driving at a speed of 75 mph = 29 miles per gallon

Fuel efficiency of the cooper when driving at a speed of 60 mph = 34 miles per gallon

Let y₁ = 75 mph, y₂ = 60 mph

and x₁ = 29 miles/gallon , x₂ = 34 miles /gallon

Then the average rate of change of fuel efficiency = (y₂-y₁)/(x₂-x₁)

                                                        = (60 - 75)/(34-29)

                                                        = -3 gallon per hour

This means that the fuel efficiency dropped as the speed dropped from 75 mph tp 60 mph.

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Answer:

± 40

Step-by-step explanation:

± [tex]\sqrt{1600}[/tex]

= ± [tex]\sqrt{16(100)}[/tex]

= ± ( [tex]\sqrt{16}[/tex] × [tex]\sqrt{100}[/tex] )

= ± (4 × 10)

= ± 40