Find the solution to the initial value problem
y′′+8y′+16=0, y(−1)=2, y′(−1)=3.

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

From the attachment, we want to determine that x be greater than 10.5

Using sin formula:

[tex]Sin\ 64 = \frac{x}{12}[/tex]

Multiply through by 12

[tex]x = 12 * sin\ 64[/tex]

[tex]x = 12 * 0.8988[/tex]

[tex]x = 10.79[/tex] (Approximated)

Since 10.79 is greater than 10.5, then the ladder will reach the window

sin64 = x/12

x = 12* sin64

Answer:

M=24

Step-by-step explanation:

because 2+3+6x2=24

Answer: the first one

Step-by-step explanation: just trust me ;)

Answer:

8

Step-by-step explanation:

Answer:

2

Work is shown in picture

Answer: D: 24 + 12R ≥ 100

Answer:

See below.

Step-by-step explanation:

Addition: closed

Example: -5 + 10 = 5, and -5, 10, and 5 are all integers

Subtraction: closed

Example: 10 - 8 = 2, and 10, 8, and 2 are all integers

Multiplication: closed

Example: -4 * 7 = -28, and -4, -7 and -28 are all integers

Division: not closed

Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers

The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.

The set of integers is not closed under division because a division of integers does not always result in an integer.

O produtor rural Ricardo Antunes Peixoto, 55 anos, teve uma surpresa enquanto perfurava um poço artesiano em sua fazenda, na zona rural de Brasília de Minas (MG). "Não saiu água, mas saiu fogo", diz, espantado. Uma equipe com cinco operários de uma empresa especializada trabalhou durante dois dias na propriedade para abrir o poço de água, mas, após escavarem 204 metros, o que encontraram foi um produto inflamável, que seria gás natural. O dono da fazenda Lagoa Misteriosa espera lucrar com a descoberta da reserva de gás. "Pelo menos, que se têm notícias no estado, este é o primeiro caso. Agora, com o dinheiro que eu vender o gás, vou abrir [um novo poço] para ter a minha água". Disponível em: . Acesso em: 12 abr. 2013. Considerando a combustão completa do metano, nas CNTP, determine a energia liberada na queima de 224 L de metano que foi em encontrado no poço desse agricultor. Dados: C–H = 416 kJ/mol C?O = 805 kJ/mol O?O = 498 kJ/mol O–H = 464 kJ/mol A. –2 660 kJ/mol B. –8 060 kJ/mol C. –1 220 kJ/mol D. –4 030 kJ/mol E. –2 600 kJ/mol

Answer:

Quantitative

Quantitative

Step-by-step explanation:

Given the following research questions to classify:

a. Is the variable of interest defined by the question "How many hours per week do you use our software?

This is a quantitative variable, because the question requires a numerical response such as 5. 10, 2 4 and so on upon which numerical or statistical calculations such as addition, subtraction, range, mean and so on can be performed.

B.) For how many years have you been using our software?

This is also a quantitative variable as the question expects a response of Numeric characteristic such as 2, 3 and so on depending on the number of years the respondent has been using the software

Answer: it is a rational

Step-by-step explanation:

Step-by-step explanation:

Is the x between 16 and 2 for multiplication or are you using it as a variable??

see the both photos for answer

Answer:

C

Step-by-step explanation:

So we have the equation:

[tex]B=d\pi r^2[/tex]

And we want to solve for r.

So first, isolate the r variable. Divide both sides by dπ. So:

[tex]\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}[/tex]

The right side cancels:

[tex]\frac{B}{d\pi}=r^2[/tex]

Take the square root of both sides:

[tex]r=\sqrt\frac{B}{d\pi}[/tex]

We can rearrange the terms:

[tex]r=\sqrt\frac{B}{\pi d}[/tex]

Our answer is C.

An equation is formed of two equal expressions. The number is 4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a number such that four times the number plus 3 is equal to 19.

Let the number be M.

Given that there is a number such that four times the number plus 3 is equal to 19. Therefore, We can write it as,

4M + 3 = 19

Now, we can write,

4M + 3 = 19

Subtract 3 on both sides
4M + 3 - 3 = 19 - 3

4M = 16

Divide both sides by 4,

4/4 M = 16/4

M = 4

Thus, the number is 4.

Learn more about Equation here:

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Answer:

[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]

Step-by-step explanation:

(5x - 7)(-3x + 2)

The values inside of the parenthesis cannot be simplified, so distribute and multiply.

Distribute

(5x - 7)(-3x) + (5x - 7)(2)

Multiply

-15x² + 21x + 10x - 14

Add 21x to 10x

-15x² + 31x - 14

[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]

Hope this helps :)

Answer:

[tex]5\frac{52}{55}[/tex]

Step-by-step explanation:

[tex]\frac{327}{55}=5\quad \mathrm{Remainder}\quad \:52\\\\\mathrm{Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}}\\\\\frac{327}{55}=5\frac{52}{55}\\\\5\frac{52}{55}[/tex]

Answer: 1/8

Step-by-step explanation: 9/5 = 1/8

Samara will be paid $4.10 for drying 16.4 pounds of apricots.

To calculate the payment for the purchase of the item, we can use the formula:

Payment = Rate × Amount

Here, the rate is the amount paid per pound and the amount is the total number of pounds item.

To calculate Samara's payment for drying apricots, we can use the formula:

Payment = Rate × Amount

As per the question, the rate is $0.25 per pound, and the amount is 16.4 pounds.

So, substitute these values into the formula:

Payment = $0.25 × 16.4

Multiply $0.25 by 16.4:

Payment = $4.10

Therefore, Samara will be paid $4.10 for drying 16.4 pounds of apricots.

Learn more about the payments here:

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Answer:

x = -1, y = -5

Step-by-step explanation:

x + y = -6

2x - y = 3​

Add the two equations together to eliminate y

x + y = -6

2x - y = 3​

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

3x =  -3

Divide by 3

3x/3 = -3/3

x = -1

Now find y

x+y = -6

-1+y = -6

Add 1 to each side

-1+1 +y = -6+1

y = -5

Answer:

6.4 km

Step-by-step explanation:

4x1.6

Answer:

6.4 km

Step-by-step explanation:

1.6 * 4 = 6.4

Answer:

Step-by-step explanation:

Given the expression 7x-5y = 2, we are to write y in terms of x. to do that, we will have to make y the subject of the formula from the given expression as shown;

7x-5y = 2

subtract 7x from both sides of the equation

7x-5y-7x = 2-7x

-5y = 2-7x

Multiply through by minus sign

-(-5y) = -(2-7x)

5y = -2+7x

5y = 7x-2

Divide both side by 5;

5y/5 = (7x-2)/5

y =  (7x-2)/5

Hence the expression y as a function of x is given as y =  (7x-2)/5

Answer:

decimetre is the answer

Answer:

[tex]f(x)=\frac{1}{4}x^2[/tex]

Step-by-step explanation:

Recall the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where (h,k) is the vertex.

We are told that the vertex is (0,0). Therefore:

[tex]f(x)=a(x-0)^2+(0)[/tex]

Simplify:

[tex]f(x)=ax^2[/tex]

So, to finish the equation, we need to find a.

We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:

[tex]1=a(2)^2[/tex]

Square:

[tex]1=4a[/tex]

Divide both sides by 4:

[tex]a=\frac{1}{4}[/tex]

So, our a value is 1/4.

And we can thus complete our equation:

[tex]f(x)=\frac{1}{4}x^2[/tex]

And we are done :)

4.75 is the answer list from least to greatest find the number in the middle

Steps to solve:

7/5 ÷ 2/3

~Dot

7/5 * 2/3

~Flip

7/5 * 3/2

~Multiply

21/10

Best of Luck!

Answer:

21/10 = 2.1 mile/hour

Step-by-step explanation:

(a/b) ÷ (c/d) = (a*d) ÷ (b*c)

then:

(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour

Answer:

19

Step-by-step explanation:

Answer:

1975 Thomas Jefferson

Step-by-step explanation: