Select the numbers that are expressed in scientific notation.
(Choose 4)
7.4 x 103
0.052
8.2 x 10-2
2.1 x 105
0.0045
1.4 x 105

Answer: x = 0 represents the price of the drink

Step-by-step explanation:

Answer:

\(9x \frac{19}{4}\)

Step-by-step explanation:

Given Expression:

\(\sqrt[4]{(3x^3)^3 times (3x^2)^5}\)

Simplification:

\(9x\frac{19}{4}\)

3.5 square feet is equivalent to 504 square inches.

To find out how many square inches are in 3.5 square feet, we need to first determine the number of square inches in one square foot and then multiply that by 3.5.

Since there are 12 donuts in one dozen and each donut has a diameter of 3 inches, the diameter of a single donut is 3 inches. Therefore, the radius of a single donut is 1.5 inches (half the diameter).

To find the area of a single donut, we can use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius. Plugging in the values we get:

A = 7.0686 square inches (rounded to four decimal places)

Since there are 12 donuts in one dozen, the total area of all the donuts is:

12 donuts x 7.0686 square inches per donut = 84.8232 square inches

Now we need to determine the dimensions of the new box that can hold the donuts lying flat. Since the height of each donut is 1.5 inches, the height of the box needs to be at least 1.5 inches.

To find the length and width of the box, we need to arrange the donuts in a rectangular shape.

Since there are 12 donuts in one dozen, we can arrange them in a rectangle that is 4 donuts long and 3 donuts wide, as shown in the attached image.

The length of the box is therefore 4 x 3 inches = 12 inches, and the width is 3 x 3 inches = 9 inches. The area of the bottom of the box is:

12 inches x 9 inches = 108 square inches

Therefore, the total surface area of the new box is:

2 x 12 inches x 9 inches (sides of the box) + 12 inches x 1.5 inches (top and bottom of the box) = 270 square inches

To convert 3.5 square feet to square inches, we multiply by the conversion factor of 144 square inches per square foot:

3.5 square feet x 144 square inches per square foot = 504 square inches

Therefore, there are 504 square inches in 3.5 square feet.

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The total cost of shipping the 250 one-cup containers of soup is $48.6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of one-cup containers each box holds = 14

The shipping cost of one box = $2.70

The number of boxes to packed 250 one-cup containers:

= 250 ÷ 14

= 17.85 boxes

This can be considered as 18 boxes.

The shipping cost of 18 boxes.

1 box = $2.70

Multiply 18 on both sides.

18 boxes = 18 x $2.70

18 boxes = $48.6

Thus,

The total cost of shipping the 250 one-cup containers of soup is $48.6.

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s = √A is the value of the variable s in terms of A

Given the expression below

A = s^2

We are to make s the subject of the formula as shown below;
A = s^2

Take the square root of both sides

√A = √s²

√A = s

Swap

s = √A

Hence the expression s as a function of A is s = √A

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We need that the average is at least 84.6 points. Let x be the score of the final test, the average then will be:

And we need this to be at least 84.6, this can be written as:

Now we solve this inequality to find x:

Therefore John has to achieve at least 87 points in the fifth test to achieve an average of 84.6.

Given ~

\( \: \)

\( \tt \: f(x) = −3x² − x – 15\)

\( \: \)

now , put x= -8 in the function ~

\( \: \)

\( \tt \: f( - 8) = −3( - 8)² − ( - 8) – 15\)

\( \: \)

\( \tt f(-8) = −3(64) − (-8) – 15\)

\( \: \)

\(\tt f(-8) = −192 − (-8) – 15\)

\( \: \)

\( \tt f(-8) = −192 − (-8) – 15\)

\( \: \)

\(\tt f(-8) = −184 – 15 \)

\( \: \)

\( \underline{\boxed{\red {\tt f(-8) = - 199}}}{\green ✓} \)

\( \: \)

hope helps ~

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

Domain → (-∞, ∞)

Range → (-∞, 5)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Function A is a quadratic function (in the form of a parabola) opening downwards.

This function is defined for every input value from negative infinity to positive infinity.

Therefore, domain of the given function A is (-∞, ∞).

Similarly, y-values (output values) vary from negative infinity to 5.

Therefore, range of the given quadratic function will be (-∞, 5).

Answer:x

=1.023211

Step-by-step explanation:

Answer:

1666.70

Step-by-step explanation:  10,000/6=1666.70

Answer:

4 miles

Step-by-step explanation:

4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps

7 x 0.58=4.06 which is 4 miles

Have a good day :}

Answer:

Whichever one is only negatives.

Step-by-step explanation:

Whole numbers are integers that are only positive

Answer:

0.9

Step-by-step explanation:

6.3/7 7*9=63

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

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Answer:

see explanation

Step-by-step explanation:

(a)

The coordinates of point B (7, 1 )

Calculate the slope using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (3, 6 ) and (x₂, y₂ ) = B (7, 1 )

\(m_{AB}\) = \(\frac{1-6}{7-3}\) = \(\frac{-5}{4}\) = - \(\frac{5}{4}\)

Answer:

Step-by-step explanation:

j=k+4

k=3r

j=3r+4

j+k+r=46

3r+4+3r+r=46

7r+4=46

7r=42

r=6, since k=3r

k=18, since j=k+4

j=22

j,k,r=22,18,6

Answer:

The function f(t) = 35 • 1.044 can be rewritten in the form f(x) = a b* by letting x represent the power to which the base (b) is raised.

First, we need to identify the base and the exponent. The base is the number being multiplied by the coefficient (a), which is 1.044 in this case. The exponent is the variable t, which represents the power to which the base is raised.

To rewrite the function in the form f(x) = a b*, we can substitute x for t and rewrite the function as f(x) = 35 • 1.044^x. This is now in the form of a base (b) raised to a power (x), with a coefficient (a) of 35.

We might want to rewrite a function in this form in order to better understand the behavior of the function as the exponent (x) changes. For example, if we graphed f(x) = 35 • 1.044^x, we could see how the value of f changes as x increases or decreases. We could also use this form to make predictions about the function's behavior for different values of x.

The number of outcomes in the complement of the event is 163

The statement is given as:

Out of 301 apartments in a complex, 138 are available for rental.

This means that

Apartments = 301

Rental = 138

The complement is calculated as:

Complement = Apartment - Rental

So, we have

Complement = 301 - 138

Evaluate

Complement = 163

Hence, the number of outcomes in the complement of the event is 163

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Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

Answer:

True

Step-by-step explanation:

Assuming this is a true or false question, the given formula is used to convert temperatures that are in degrees Celsius to degrees Fahrenheit.

\(F(C)=\frac{9}{5} C+32\)

The standard form of the equation is (x' - 8x) + (y - 3)^2 = 48

To write the equation in standard form and identify the related conic, let's rearrange the given equation:

x' + y^2 - 8x - 6y - 39 = 0

Rearranging the terms, we have:

x' - 8x + y^2 - 6y - 39 = 0

Now, let's complete the square for both the x and y terms:

(x' - 8x) + (y^2 - 6y) = 39

To complete the square for the x terms, we need to add half the coefficient of x (-8) squared, which is (-8/2)^2 = 16, inside the parentheses. Similarly, for the y terms, we need to add half the coefficient of y (-6) squared, which is (-6/2)^2 = 9, inside the parentheses:

(x' - 8x + 16) + (y^2 - 6y + 9) = 39 + 16 + 9

(x' - 8x + 16) + (y^2 - 6y + 9) = 64

Now, let's simplify further:

(x' - 8x + 16) + (y^2 - 6y + 9) = 8^2

(x' - 8x + 16) + (y - 3)^2 = 8^2

(x' - 8x + 16) + (y - 3)^2 = 64

Now, we can rewrite this equation in standard form by rearranging the terms:

(x' - 8x) + (y - 3)^2 = 64 - 16

(x' - 8x) + (y - 3)^2 = 48

The equation is now in standard form. From this form, we can identify the related conic. Since we have a squared term for y and a constant term for x (x' is just another variable name for x), this equation represents a parabola opening horizontally.

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This implies that since (1/2) cup is equal to 2 quarter cups, the amount of soy sauce required for the recipe is 2 quarter cups.

By first determining the value of one unit and afterwards multiplying or dividing to determine the value of another unit, the unitary method is a mathematical strategy used to solve proportional problems. The "single unit" or "one unit" technique is another name for it. The unitary technique entails segmenting a problem into manageable pieces before determining the value of one unit of the specified quantity.

given

We must establish how many quarter cups are equal to (1/2) cup in order to quantify soy sauce using a quarter cup.

Starting with the knowledge that 1 cup is equal to 4 quarter cups, we can write:

4 quarter glasses equal 1 cup.

(1/2) cup is therefore equal to:

1/2 cup equals 1/2 * 4 quarter cups, or 1/2 cup equals 2 quarter cups.

This implies that since (1/2) cup is equal to 2 quarter cups, the amount of soy sauce required for the recipe is 2 quarter cups.

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The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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Answer: 1 + 1 = 2

2-1 = 1

Step-by-step explanation:

basic math stuff

Answer:

I think she is forming a letter but not so sure. I don't understand your question. Sorry

Answer:

90$

Step-by-step explanation

Step 1: You need to find how much was the 60% discount

Step 2: To find that multiply .6 by 50 you will get 30

Now you know how much was 60% discount

Step 3: Add   30(the discount) + 50(the prce sally pays) = 90 (the oriagnal price)

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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Answer:

>

Step-by-step explanation:

2 is greater than -4, so put >

2>-4