PLEASE HELP ME WITH THIS PROOF

Answer:

no because when we multiply it the result will be 7m-74

Answer:

no

Step-by-step explanation:

Answer:

√64 = rational

Step-by-step explanation:

√64 = 8

8 = 8/1 = rational

Answer: The number 64 is an irrational number.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you got together on December 27, 2021, your 1-month anniversary would be on January 27, 2022, which is exactly 31 days later.

Your 2-month anniversary would be on February 27, 2022, which is exactly 61 days later. Since February has only 28 days in 2022, it means that your 2-month anniversary would fall on the last day of February.

Your 3-month anniversary would be on March 27, 2022, which is exactly 90 days later.

Answer:

Step-by-step explanation:

Let's start by translating the information given into equations.

If Chip picked a number, let's call it x.

According to the problem, he multiplied the number by 7, which gives us:

7x

Then he decreased it by 33:

7x - 33

So Chip's final result is 7x - 33.

Now let's consider Fiona's equation. She took the same number x and found that 15 less than 10 times the number results in the same value:

10x - 15

So we have two equations:

7x - 33 = 10x - 15

Simplifying this equation, we get:

-3x = 18

Dividing both sides by -3, we get:

x = -6

Therefore, Chip picked -6 as his number. To check that Fiona's equation also works, we can substitute x = -6 into 10x - 15 and see if we get the same result as 7x - 33:

10(-6) - 15 = -60 - 15 = -75

7(-6) - 33 = -42 - 33 = -75

Both equations give the same result of -75, so Fiona's equation also holds for x = -6.

We have explained all the steps to solve an infinite arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

When it comes to solving an infinite arithmetic sequence, you can use the following formulas:

The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.

The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.

If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)

Hence, we have explained all the steps to solve an infinite arithmetic sequence.

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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In cylindrical coordinates, the vector components are ER​ = icosϕ + jsinϕ (radial), eϕ​ = -isinϕ + jcosϕ (azimuthal), and ez​ = k (vertical), representing the vector in different directions for easier calculations and analysis.

The vector ER​ can be expressed as ER​ = icosϕ + jsinϕ, where i and j are the unit vectors in the x and y directions, respectively. The vector eϕ​ can be expressed as eϕ​ = -isinϕ + jcosϕ, and the vector ez​ can be expressed as ez​ = k, where k is the unit vector in the z direction.

To clarify, ER​ represents the component of the vector in the radial direction, eϕ​ represents the component of the vector in the azimuthal direction, and ez​ represents the component of the vector in the vertical direction.

These expressions provide a convenient way to represent a vector in terms of its components in different directions, allowing for easier calculations and analysis in various coordinate systems, such as cylindrical coordinates in this case.

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Answer:

Below in bold.Step-by-step explanation:a. This is the Lowest common multiple of 30 and 40 which is120 seconds.b. In 120 seconds Abram had completed 120/40= 3 laps.c.  Joshua completed 120/30 = 4 laps.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Move variables to one side and numbers on the other.

12 - 3x = -6x

+ 3x +3x

12 = -3x

/-3 /-3

-4 = x

hope this answer helps you dear....may u have a great day ahead!

A, c, D

Step-by-step explanation:

A) we can sample these 7th graders as we are looking to study 7th graders.

b) The first 20 students could be from any grade and so this option wouldn't work.

c) Involves 7th graders.

d) involves 7th graders

E) The students could be any grade level on the debate team so, this option wouldn't work.

The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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Answer:

Step-by-step explanation:

8 - 24k + 1 = -25 - 7k

-24k + 9 = -25 -7k

-17k + 9 = -25

-17k = -34

k = 2

answer is D

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{k = 2}}}}}\)

Option D is the correct option.

Step-by-step explanation:

\( \sf{8(1 - 3k) + 1 = - 25 - 7k}\)

Distribute 8 through the parentheses

\( \longrightarrow{ \sf{8 - 24k + 1 = - 25 - 7k}}\)

Add the numbers : 8 and 1

\( \longrightarrow{ \sf{9 - 24k = - 25 - 7k}}\)

Move 7k to left hand side and change it's sign

Similarly, move 9 to right hand side and change it's sign

\( \longrightarrow{ \sf{ - 24k + 7k = - 25 - 9}}\)

Collect like terms

\( \longrightarrow{ \sf{ - 17k = - 25 - 9}}\)

Calculate

\( \longrightarrow{ \sf{ - 17k = - 34}}\)

Divide both sides by -17

\( \longrightarrow{ \sf{ \frac{ - 17k}{ - 17} = \frac{ - 34}{ - 17} }}\)

Calculate

\( \longrightarrow{ \sf{k = 2}}\)

Hope I helped!

Best regards! :D

Answer:

1 patron can carry a book for 42 days

Answer:

42 Days

Step-by-step explanation:

2 Weeks = 14 Days

Max amount of weeks allowed = 6

\(6*7=42\)

42 days

Answer:

D

Step-by-step explanation:

Edge2020

The domain and range of the piecewise function below:

Domain: all real numbers except x = 6

Range: all real numbers.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

A function is a piecewise function.

A function is given in the attached image.

The domain is the defined values of the function,

and range is achievable values.

So, the domain is all real numbers except x = 6

range: all real numbers.

Therefore, c is the correct option.

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3. The value of x is 2√15

4.the triangle is obtuse

5.the triangle is obtuse

6.the triangle is acute

A triangle with side lengths a, b and c with c>= a and c>=b would only exist if the longest side c was lower than or equal to the sum of the two shorter sides, that is:

c≤ a+b

It is also true that if:

3) To find x, we use Pythagorean theorem at:

x²=16² - 14²

x²= 256 - 196

x= √60

x= 2√15

4) There are 3 sides of triangle.

We prove:

(15.6)² =243.36

(5.8) ²+(9.3) ²=86.49+33.64=120.13

243.36=86.49+33.64

because c²>a²+ b², the triangle is obtuse.

5) There are 3 sides of triangle.

We prove:

16²= 256

7²+12²= 49+144=193

because c²>a²+ b², the triangle is obtuse.

6. There are 3 sides of triangle.

We prove:

(5.2) ²=27.04

(3.8) ²+(4.1) ²=14.44+16.81=31.35

because c² < a²+b², the triangle is acute.

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Answer:

B

Step-by-step explanation:

If you see two negatives next to each other, just think of them as adding. So add 8 and 7, you get 15.

The quadratic model for the ball's height as a function of time are given below

Equation 1: t₁²a + t₁b + c = y₁

Equation 2: t₂²a + t₂b + c = y₂

Equation 3: t₃²a + t₃b + c = y₃

To find a quadratic model for the ball's height as a function of time, we can use the given data table to fit a quadratic equation to the points. The general form of a quadratic equation is:

y = ax² + bx + c

Let's use the given data to determine the values of a, b, and c.

Assuming the table contains the time (t) in the first column and the corresponding height (y) in the second column, we can use three data points to form three equations.

Let's say the data points are:

t₁, y₁

t₂, y₂

t₃, y₃

The three equations we can form are:

y₁ = a(t₁)² + b(t₁) + c

y₂ = a(t₂)² + b(t₂) + c

y₃ = a(t₃)² + b(t₃) + c

To solve for a, b, and c, we can rewrite these equations as a system of linear equations:

Equation 1: t₁²a + t₁b + c = y₁

Equation 2: t₂²a + t₂b + c = y₂

Equation 3: t₃²a + t₃b + c = y₃

We have three equations with three unknowns (a, b, and c). Solving this system of equations will give us the quadratic model for the ball's height as a function of time.

Note: Without the specific data points, I cannot provide the exact quadratic model. Please provide the values in the table, and I'll be able to help you find the quadratic equation that models the ball's height.

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The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

D^2 = (x^2 + y^2) + z^2

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

= 2800/sqrt(329) = 154.4 km/hr

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Answer:

Step-by-step explanation:

3/8 if you change 1/4 to 8ths you get 2/8. so if you add 1 3/8 + 2/8 you get 1 5/8 so you only need 3/8 to get to 2 quarts.

Answer:

Step-by-step explanation:

100%-30%=70%

70%=2100

divide by 7

10%=300

x by 10

100%= 3000

Answer: 5 km

Step-by-step explanation: To find the mean you have to add the numbers and divide it by how many numbers there are, so in this case its 4 + 4 + 7 = 15 and then you divide it by the numbers which in this case is 3 so 15 / 3 is 5. Hope this helps! :)

Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.

Darryl deposits into a savings = $1,500

Account that has a simple interest rate = 2.7%.

Lori deposits into a savings = $1,400

Account that has a simple interest rate = 3.8%.

Let us assume,

\(P_{1}\) = $1,500

\(r_{1}\) = 2.7%.

\(r_{1}\) =  2.7/100

\(r_{1}\) = 0.027

After 10 years = t = 10years

The formula to calculate simple interest is,

\(A_{1}\) = \(P_{1} (1+r_{1} t)\)           (Equation-1)

\(P_{1}\) = Principal amount

\(r_{1}\) = rate of interest ( in decimal )

t = time

First we calculate Darryl's deposit,

So we can substitute values in the equation-1,

\(A_{1}\) = 1,500(1 + 0.027×10)

\(A_{1}\) = 1,500 ( 1+0.27 )

\(A_{1}\) = 1,500 × 1.27

\(A_{1}\) = $1905

Now we will calculate Lori's deposit,

\(A_{2}\) = \(P_{2} (1+r_{2} t)\)                (Equation-2)

\(P_{2}\) = $1,400

\(r_{2}\) = 3.8%.

\(r_{2}\) =  3.8/100

\(r_{2}\) = 0.038

So we can substitute values in the equation-2,

\(A_{2}\) = 1,400 ( 1 + 0.038 × 10 )

\(A_{2}\) = 1,400 ( 1 + 0.38 )

\(A_{2}\) = 1,400 × 1.38

\(A_{2}\) = $1,932

Darryl will make money after 10 years = $1905

Lori will make money after 10 years = $1,932

Hence,

Lori will make more than Darryl,

Then the difference will be = 1,932 - 1,905 = $27

Therefore,

After 10 years Lori will have make $27.00 more in their account.

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16777216

hope I helped :)

Answer:

16777216

Step-by-step explanation:

Answer: B

Step-by-step explanation:

If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.

Answer: $10

Step-by-step explanation:

4x + 20 = 60

-20 from each side

4x = 40

divide each side by 4

x = 10

The equation of the line in slope - intercept form will be -

y = (4/5)x + 5

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have David's family who rented a boat for a flat fee of $20 plus an hourly fee. David's family rented the boat for 4 hours.

We can model the equation by the equation of straight line as -

y = 4x + 20

For 4 hours of renting, the amount will be -

y = 4 x 4 + 20 = $36

The hourly rate for renting the boat is $4.

Therefore, David's family paid $36 for 4 hours and the hourly renting rate is $4.

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Answer:

x=8

Step-by-step explanation:

set up a proportion:

\(\frac{20}{4}=\frac{4x-7}{5}\)

simplify:

\(5 =\frac{4x-7}{5}\)

now solve this equation for x:

\(5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8\)

Answer:

Step-by-step explanation:

??

The solution to the inequality is option B: b ≤ 1 (7/10).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The inequality equation is 7/2 ≥ b + 9/5.

Write the inequality in standard form -

7/2 = b + 9/5

Simplify the equation -

b = 7/2 - 9/5

b = (35-18) / 10

b = 17 / 10

b = 1 (7/10)

Apply the inequality symbol -

b ≤  1 (7/10)

Therefore, the solution is 1 (7/10).

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Choose the solution to this inequality.

7/2≥b+9/5

A. b≥2/5

B. b≤1(7/10)

C. b≤−2/3

D. b<2(2/7)