on Monday Therease went to the doctor and got an antibiotic for strep throat. The doctor told her take a dose of 4.8 ml every 12 hours for 7 days. If Thereas took her first dose at 9:00 AM on Monday, what day and time should she take her 7th dose?

Answer:

75:25:100

Step-by-step explanation:

step 1= 3+1+4=8

step 2= 200/8=25

step 3= 25 x 3=75

25 x 1= 25

25 x 4=100

Answer:

315 (C)

Step-by-step explanation:

If it takes 45 minutes to make 3 bracelets, (considering she spends equal time on each) she's making 1 bracelet every 15 minutes. There are two ways you can solve this.

45/3 = 15 times 21 (bracelets) = 315

Or,

21/3 is 7, so multiply 7 and 45 to get 315 as well.

(Second Question) If we're finding percentages you always want to find a number out of 100. We can get to 100 evenly by multiplying 25 by 4. Do the same for 15 so the ratio stays equal, and you get 60, or: 60%.

Answer: 40 dollars

Step-by-step explanation:

i hope the explanation is right:)

If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.

Answer:

Step-by-step explanation:

1. u would do 315/15 bc y/x=k

2. u would do 81/9

3. u would do 56/2

so basically for the next ones just do the money divided by oz to find the unit rate. Note always do y/x y is the dependent variable and x is the independent variable

Answer:

-105, -104, -103

Step-by-step explanation:

lets the numbers be:

x

x+1

x+2

so:

x+(x+1)+(x+2)=-312

x+x+x+1+2=-312

3x+3=-312

3x=-312-3=-315

x=-315/3=-105

\(\text{view explanation pls}\)

The first step is to write the line's equation in point-slope form

y-y1=m(x-x1)

y-0=4(x-3)

use the distributive property

y-0=4x-12

y=4x-12

Well, let's start with the y-intercept, which is -12 or (0, -12)

After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.

Do the same on both sides of the y-intercept.

hope helpful ~

From matrix property it can be showed that A=B.

Given,

If A,B and x are matrices with x≠0 and AX=BX

Now,

X must be non-singular matrix because

A\(XX^{-1}\)=B\(XX^{-1}\)

AI = BI

= I( identity matrix )

⇒A = B

Hence Proved, A = B .

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Answer:

18

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

where:

x = the number of hats

p(x) = profit

To solve how many hats must be produced and sold to have a profit of $7 000, let's replace p(x) with $7 000.

The next step is to isolate the term with the variable "x" on one side. For this to happen, let's add 7,000 on both sides of the equation.

The last step is to divide both sides of the equation by 20 to solve x.

Therefore, 700 hats must be produced and sold to gain a profit of $7,000.

In order to avoid loss, the profit must be either zero or greater than that. To determine the least number of hats to be produced and sold to avoid loss, let's replace p(x) = 0.

Same process: Isolate the term with a variable "x" on one side. To do this, add 7000 on both sides of the equation.

Last step, divide both sides of the equation by 20.

Therefore, to avoid loss, they must produce and sell at least 350 hats.

Answer:

V = 10 x 9 x (1/3)

V = 30 in³

Step-by-step explanation:

The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.

To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:

d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)

where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.

In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.

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Answer:

that would be X=22, i had the same thing today, and got it right :D

Step-by-step explanation:

In the standard equation for a line, y = mx + b, the variable b represents the y-intercept of the line.

The standard equation of a line is a way of representing a straight line in a two-dimensional Cartesian coordinate system. It is also called the slope-intercept form.

The slope represents the steepness of the line, while the y-intercept represents the value of y when x is equal to 0.

This form is useful for graphing lines, as well as for finding the equation of a line given its slope and y-intercept.

The y-intercept in the standard equation is the point where the line intersects the y-axis, which means it is the value of y when x = 0.

The slope of the line, represented by "m", determines how steep the line is, while the y-intercept determines where the line crosses the y-axis.

Thus, the b in the standard equation represents y-intercept of the line.

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12 fluid ounces of fluid ounces of soda is in a small drink.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that :

large drink at Jack's favorite restaurant has 3 times as many fluid ounces as a smalt drink and a large drink has 36 Fluid ounces.

Let, volume of small drink be x then volume of large drink will be 3x

Now, it is given that :

3x =36

x  = 12 fluid ounces

Therefore, 12 fluid ounces of fluid ounces of soda is in a small drink.

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Answer:

15

Step-by-step explanation:

He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6

Answer:

x = 7 , x = 11

Step-by-step explanation:

x² - 18x + 81 = 4 ( subtract 81 from both sides )

x² - 18x = - 77

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 9)x + 81 = - 77 + 81

(x - 9)² = 4 ( take square root of both sides )

x - 9 = ± \(\sqrt{4}\) = ± 2 ( add 9 to both sides )

x = 9 ± 2

then

x = 9 - 2 = 7

x = 9 + 2 = 11

On solving the provided question we can say that  the area of a decagon is 5a2/2 × √5+2√5 5 + 2 5 ,

A decagon in geometry is a decagon or not. A basic decagon has 144° of inner angles added up. A decagram is a self-intersecting regular decagon. A decagon is a polygon that has ten sides, ten internal angles, and ten vertices. A decagon or decagon is a shape that may be found in geometry. Furthermore, it has 10 horns and 10 horns. A 12-sided polygon is called a dodecagon. A regular polygon known as a regular dodecagon specifically has sides that are of the same length and angles that are uniformly spaced around a circle.

the area of a decagon is 5a2/2 × √5+2√5 5 + 2 5 ,

'a = side length of the decagon

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Answer:

y' = 14x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = 7x²

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

57° + 124° + 140° = 321°

360° - 321° = 39° (measure of missing interior angle)

39° + c = 180°, so c = 141°.

Answer:

c=141

Step-by-step explanation:

140+57+124=321

360-321=39

180-39=141

Answer:

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

Find the differences in the sequence  -11, -7, -3, 1, ...

The difference is common, so the sequence is an AP.

The nth term is:

Find the 52nd term:

Find the 52nd term using the given formula:

Find the previous term:

Find the common difference:

Answer:

\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)

\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Given sequence:

To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.

\(a_4-a_3=1-(-3)=4\)

\(a_3-a_2=-3-(-7)=4\)

\(a_2-a_1=-7-(-11)=4\)

As the differences are constant, the sequence is arithmetic, with common difference, d = 4.

The explicit formula for an arithmetic sequence is:

\(\boxed{a_n=a+(n-1)d}\)

where:

To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:

\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)

Therefore, the 52nd term is a₅₂ = 193.

\(\hrulefill\)

Given explicit formula for an arithmetic sequence:

\(a_n=-30-4n\)

To find the common difference, we need to compare it with the explicit formula for the nth term:

\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)

The coefficient of the n-term is -4, therefore, the common difference is d = -4.

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)

Therefore, the 52nd term is a₅₂ = -238.

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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Answer: DEF=4  DF=3

i think that's it but don't trust me i don't know either :'^

Step-by-step explanation:

In God we trust ✨✨.

1. Based on the line plot, the number of students who kept track of their growth is 15.

2. The number of students who grew ¹/₂ or ³/₈ of an inch is 3.

3. The number of students who grew ¹/₈ or ³/₄ of an inch is 5.

4. The number of students grew ⁵/₈ of an inch than ³/₈ of an inch is 2.

5. The measurements with the same number of students are ¹/₈ and ¹/₂ and ⁵/₈ and ³/₈ (two and three, respectively).

6. The most common measurement was students who grew ¹/₄ of an inch, which is 4.

7. The least common measurement was students who grew ³/₈ of an inch, which is 1.

A line plot is a graph that displays data points with check marks above a number line.

The check marks show the frequency of each value.

The number of students who grew ¹/₈ of an inch = 2

The number of students who grew ¹/₄ of an inch = 4

The number of students who grew ³/₈ of an inch = 1

The number of students who grew ¹/₂ of an inch = 2

The number of students who grew ⁵/₈ of an inch = 3

The number of students who grew ³/₄ of an inch = 3

The total number of students keeping track of their growth = 15

2) The number of students who grew ¹/₂ or ³/₈ of an inch = 3 (2 + 1)

3) The number of students who grew ¹/₈ or ³/₄ of an inch = 5 (2 + 3)

4) The number of students grew ⁵/₈ of an inch than ³/₈ of an inch = 2 (3 - 1)

5) The measurements with the same number of students are ¹/₈ and ¹/₂ and ⁵/₈ and ³/₈ (two and three, respectively).

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Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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