The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units

Answer:

Step-by-step explanation:

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer:

ok t means some thing but zero and seven should be solved

Answer:

40

Step-by-step explanation:

Answer:

Least common multiple (LCM) of 8 and 10 is 40.

Step-by-step explanation:

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Common Mutiples: 40 and 80

LCM: 40

By solving a system of equations, we will see that 7 liters of fruit juice are needed.

Let's define the variables:

x = liters of fruit juice.

y = liters of fruit drink.

We know that the mixture has 10 liters, then:

x + y = 10

And the concentration of these 10 liters is 8%, then the concentration equation is:

x*0.05 + y*0.15 = 10*0.08

Then we have a system of equations:

x*0.05 + y*0.15 = 10*0.08

x + y = 10

Isolating y on the second equation, we get:

y = 10 - x

Replacing that in the first equation we get:

x*0.05 + (10 - x)*0.15 = 10*0.08

x*0.05 + 1.5 - x*0.15 = 0.8

-x*0.10 = 0.8 - 1.5

x*0.10 = 0.07

x = 0.7/0.10 = 7

So 7 liters are used.

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Answer:

16800

Step-by-step explanation:

1. 56 x 3 = 168

2. add the zeros

16, 800

Answer:

16.8

Step-by-step explanation:

Convert to the appropriate common metric unit then multiply.

560 milligrams = 0.56 grams

0.56⋅30 = 16.8

The total amount of potassium is 16.8 grams.

Answer:

8y+2

Step-by-step explanation:

5y+3y=8y

-2+4=2

Since it's positive two we add them together.

8y+2

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

Answer:

It would cut the number in half.

Step-by-step explanation:

For example if the surface area of a triangular prism was 6 before it would be 3 now.

Answer:

2π(x+y+z)

is the factorization

Answer:

this whole sentence confused me a lot

Step-by-step explanation:

yes there is, but it depends on how you want to do it

Answer:

I don't really get what you're implying can you please explain?

Step-by-step explanation:

haha this just really confused me :)

The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

What is a Pythagorean identity?

The Pythagorean identity for sine and cosine states that for any angle θ,

sin²θ + cos²θ = 1

We can use the given values of sine and cosine to find the missing trigonometric function:

tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15

Now, we can use the Pythagorean identity to determine which of the given statements is true:

1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²

1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²

(8/17)² + (15/17)² = 64/289 + 225/289 = 1

Therefore, the statement that can be proven using the Pythagorean identity is:

(8/17)² + (15/17)² = 1

Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

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Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

10 $1 bills

7 $5 bills

Step-by-step explanation:

Let s = number of $1 bills.

Let f = number of $5 bills.

1s + 5f = 45

s = f + 3

f + 3 + 5f = 45

6f = 42

f = 7

s = f + 3 = 7 + 3 = 10

10 $1 bills

7 $5 bills

Answer:

B: 74.75

Step-by-step explanation:

If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75

Answer:

C

Step-by-step explanation:

A model has 6 rows needs 5 8th squares

Answer

6 (6 + 5)

Step-by-step explanation:

i did the quiz ^_^

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

x - 2y = -2

To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.

If x = 0, we have:

0 - 2y = -2

y = -2/-2 = 1

if x = 1 then:

1 - 2y = -2

1 + 2 = 2y

3 = 2y

3/2 = y

Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:

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The conclusion that is valid is (A) If Figure A is a square, then Figure A is a parallelogram

From the question, we have the following parameters that can be used in our computation:

The above statements mean that:

If a figure is a square, ⇒ it is a rectangle ⇒ it is a parallelogram

When the linking statement is removed, we have

If a figure is a square, ⇒ it is a parallelogram

This means that

If a figure is a square, then it is a parallelogram

The above statement is represented in option (a)

Hence, the valid conclusion from the conditional statements is (a)

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The table that represents a linear equation is the first one, and the line can be:

y = -4x - 1

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, notice that if we evaluate the line in x + 1, we will get:

y = a*(x + 1) + b

y = a*x + a + b

So, for an increase of one unit on the variable x, we have a constant increase in the y value.

Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.

So that is the table that can represent a linear function.

And the line is:

y = -4x - 1

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Tim should order approximately 6 pizza.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction. Mathematicians use addition, subtraction, multiplication, and division as their four fundamental arithmetic operations. The division is one of these four operations that we employ most frequently in our daily work. It involves dividing a huge group into equally sized smaller units. Divide 25, for instance, by 5.

Given Data

Number of employees = 22

Slice of pizza one should get = 1/4

Dividing 22 by 1/4

\(\frac{22}{4}\)

5 and \(\frac{1}{2}\)

Tim should order approximately 6 pizza.

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Answer:

Triangles in Geometry

Step-by-step explanation:

Therefore, we can see that 10 kilometers is greater than 9 miles (10 km > 14.48 km), and so the comparison "10 kilometers < 9 miles" is false.

A kilometer (km) is a unit of measurement for length, commonly used in the metric system. It is equal to 1000 meters or approximately 0.62 miles. Kilometers are often used to measure longer distances, such as the distance between two cities or countries.

by the question.

To explain this, we can convert kilometers to miles or miles to kilometers to compare them in the same unit.

1 mile is approximately equal to 1.61 kilometers. So, 9 miles would be approximately equal to 14.48 kilometers.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

-10 :)

Hey champ! Here's the 'splination!

equation: 50-5x=100

50=-5x. (subtract 50 from both sides)

-10=x (divide both sides by -5)

Answer:

Surface Area = 2 ×22 /7 × 2 ×2 + 2 ×22 /7 ×2 × 14

= 176 / 7 + 1232 /7

= 176 / 7 + 176

= 352 / 7

= 50.2857

Hope it helps!!!

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

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Answer: ?

comfusing

Step-by-step explanation: