Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true? -3⁢p+1/8=-1/4 p =

Answer:

$40. If she bought 3 for $30, then each shirt must be equal to $10 each.

4 times 10 = 40

Step-by-step explanation:

Hope it helps you! =D

The two-digit counting number is 41. Let's denote the tens digit as "x" and the units digit as "y." The first equation states that the number is 1 greater than 8 times the sum of its digits, which can be expressed as 10x + y = 8(x + y) + 1.

The second equation states that 3 times the tens digit is 11 greater than the units digit, which can be expressed as 3x = y + 11. Let's denote the tens digit as "x" and the units digit as "y." According to the given information, the first equation can be written as:

10x + y = 8(x + y) + 1.

Expanding the equation, we have:

10x + y = 8x + 8y + 1.

Simplifying, we get:

2x - 7y = 1. (Equation 1)

The second equation states that 3 times the tens digit is 11 greater than the units digit:

3x = y + 11. (Equation 2)

To solve this system of equations, we can use substitution or elimination. Let's solve it using substitution. We rearrange Equation 2 to express y in terms of x:

y = 3x - 11.

Substituting this expression for y in Equation 1, we have:

2x - 7(3x - 11) = 1.

Expanding and simplifying further:

2x - 21x + 77 = 1,

-19x + 77 = 1,

-19x = -76,

x = 4.

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = 3(4) - 11,

y = 1.

Therefore, the tens digit (x) is 4, and the units digit (y) is 1. Combining these digits, the two-digit counting number is 41.

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According to the question, the total number of handshakes among the 2626 people is 1,731,712.

To calculate the number of handshakes among the 2626 people, we need to consider that each man shakes hands with everyone except his spouse, and there are 1313 married couples in attendance.

Since there are 1313 married couples, there are also 1313 men and 1313 women. Each man shakes hands with all the women except his spouse, resulting in (1313 - 1) handshakes for each man. Therefore, the total number of handshakes involving men is 1312 handshakes.

Since no handshakes took place between women, we only need to calculate the number of handshakes involving men and women. Each of the 1313 men shakes hands with all the 1313 women, resulting in 1313 * 1313 handshakes.

Now we can calculate the total number of handshakes by adding the handshakes involving men (1312 handshakes) and the handshakes involving men and women (1313 * 1313 handshakes):

Total number of handshakes = 1312 + (1313 * 1313)

= 1,731,712

Hence, the total number of handshakes among the 2626 people is 1,731,712.

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The Elementary Matrix E is \(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\).

We know that the Matrix

\(A = \left[\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right] , B = \left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right]\)

\(EA = B\)

⇒ \(E = B A^{-1}\)

\(A^{-1} = \frac{1}{|A|} \times \left[\begin{array}{ccc}A_{11}&A_{12}&A_{13}\\A_{21}&A_{22}&A_{23}\\A_{31}&A_{32}&A_{33}\end{array}\right]\)

\(|A| = \left|\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right|\)

\(= 2 \times4\times4-2\times5\times1 - 1\times(-2)\times4+1\times5\times3+3\times(-2)\times1 - 3\times4\times3\\= 32 -10+8+15-6-36 = 3\)

\(A^{-1} = \frac{1}{3} \left[\begin{array}{ccc}11&-1&-7\\23&-1&-16\\-14&1&10\end{array}\right] \\A^{-1} = \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right]\)

\(\therefore E =\left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right] \times \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right]\)

\(E = \left[\begin{array}{ccc}\frac{22+23-42}{3}&\frac{2+1-3}{3}&\frac{-14-16+30}{3}\\\frac{33+23-56}{3}&\frac{-3-1+4}{3}&\frac{-21-16+41}{3}\\\frac{-22+92-70}{3}&\frac{2-4+5}{3}&\frac{14-64+50}{3}\end{array}\right]\)

\(E = \left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\)

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The general solution of the given differential equation y' = (y² + y²cosx)² can be expressed explicitly as y = -cot(x/2) - 1.

To find the general solution of the differential equation, we can separate variables and integrate both sides.

Start by rewriting the equation as:

1 / (y² + y²cosx)² dy = dx

Now, we can perform the integration:

∫1 / (y² + y²cosx)² dy = ∫dx

To simplify the integral on the left side, we can factor out y²:

∫1 / y²(y² + cosx)² dy = ∫dx

Next, substitute u = y² + cosx:

du = 2y dy

Now, the integral becomes:

∫1 / (2y)(u²) du = ∫dx

Simplifying further:

1/2 ∫1/u² du = x + C

Integrating the left side:

-1 / u + C = x + C

Simplifying:

-1 / (y² + cosx) + C = x + C

Eliminating the constants:

-1 / (y² + cosx) = x

Rearranging the equation:

1 / (y² + cosx) = -x

Taking the reciprocal of both sides:

y² + cosx = -1/x

Subtracting cosx from both sides:

y² = -1/x - cosx

Finally, taking the square root:

y = ±√(-1/x - cosx)

Therefore, the general solution of the differential equation is y = ±√(-1/x - cosx).

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\( \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}\)

\(\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} \)

\(\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} \)

\( \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )\)

\( \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } \)

\( \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } \)

\( \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } \)

\( \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } \)

\( \sf \: kh = \frac{a + b}{2} \)

\( \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}\)

Answer:

Answer:

Answer: Option A.

Step-by-step explanation:

Hey here!!

Given is 3x = y - 5......(i)

And x= -4.

Substituting the value of x in equation (i). We get,

\(3 \times ( - 4) = y - 5\)

\( - 12 = y - 5\)

Therefore, y = -7.

Hope it helps...

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

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Step-by-step explanation:

when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.

first,put your pen at the point and move it forward till you end at the last number.

While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e

2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator

Answer:

80 gingerbreads

Step-by-step explanation:

Were going to assume this is out of 100. So if 14 gingerbread dropped multiply by 100 and divide by 17.5 to get 80.

14x100/17.5=80

Answer:

C =diameter times π

24π mm

Answer: 55

Step-by-step explanation: 55 - 25 = 30

just subtract all the answers by 25 and try to find something lower then 31

Answer and Step-by-step explanation:

It is 3 dollar per pound.

To figure this out, you would have to divide each number by 8. This reduces 8 pounds to 1 pound, and 24 dollars to 3 dollars.

#teamtrees #PAW (Plant And Water)

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is \((2,1,0)\).

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

\(3x+3y+6z=9\)    \((i)\)

\(x+3y+2z=5\)    \((ii)\)

\(3x+12y+12z=18\)  \((iii)\)

To find the solution to the above give algebraic equations,

We have to find values of \(x,y,z\).

So,

We will be putting \(z=0\) in equation \((i)\),

\(3x+3y+6(0)=9\)

\(3x+3y=9\)    \((iv)\)

Now,

We will be putting \(z=0\) in equation \((ii)\),

\(x+3y+2(0)=5\)

\(x+3y=5\)  

\(x=5-3y\)    \((v)\)

Using equation \((iv)\) & \((v)\),

We get,

\(3(5-3y) +3y=9\)

\(15-9y+3y=9\)

\(-6y=-6\)

\(y=1\),

Now we have value of  \(y=1\), putting this value in equation  \((v)\),

\(x=5-3(1)\)

\(x=2\),

Hence, we can say that option \((2,1,0)\) is the correct answer.

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Answer:

Well from where the equation is now, I don't see any further things I can do. What is the context of the problem?

Step-by-step explanation:

We establish the given binomial expression (x + y)^4 in the following way

The nth power of the sum of two integers a and b may be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for every positive integer n.

A polynomial with just terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct words. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic statement that comprises a constant, exponents, a variable, and a coefficient.

(x+y) 4=

((x+y)2) 2=

(x2+2xy+y2) 2=

(x2+2xy) 2+2(x2+2xy) (y2)+(y2) 2=

(x4+4x3y+4x2y2)+(2x2y2+4xy3)+(y4)=

x4+4x3y+6x2y2+4xy3+y4

The binomal theorem is a more comprehensive strategy:

(x+y)

n=∑k=0n(nk)

⋅xn−k⋅yk=∑k=0n(nk)

⋅xk⋅yn−k\sWhere\s(nk)=n!((n−k)!)⋅(k!)

n!={1n⋅((n−1)!)

n=0n>0

∑k=0nf(k)=f(0)+f(1)+f(2)+…+f(n)

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Answer:

See below ~

Step-by-step explanation:

Drawing the rectangle (Refer attachment)

Horizontal sides

Vertical sides

Perimeter

The least positive number n that satisfies all of the conditions is n = 60.

To find the least positive number n that satisfies all of these conditions, we need to find the least common multiple (LCM) of the numbers 1, 2, 3, 4, and 5. The LCM is the smallest positive number that is divisible by all of these numbers.

To find the LCM, we can list the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. The prime factorization of each number is:

1: 1

2: 2

3: 3

4: 2 x 2

5: 5

The highest power of each prime factor that appears in any of the numbers is:

2: 2 x 2

3: 3

5: 5

So the LCM is:

\(2 \times 2 \times 3 \times 5$ = 60\)

Therefore, the least positive number n that satisfies all of the conditions is n = 60.

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Answer: C

Step-by-step explanation:

Answer:

It is going to be C

Step-by-step explanation:

Because after you complete the problem it will equal the nu,ber selcted on c

Answer: #2 that's an absolute anser i am not sure if there are more or if this is just a multiple choice question

Step-by-step explanation:

Answer:

396 pi mm²

Step-by-step explanation:

The surface area of a cylinder:

The total surface area (A) of a cylinder is calculated by adding the areas of the two bases and the lateral surface area.

A = 2πr^2 + 2πrh

Given:

The surface area of the first cylinder (A1) = 594π mm^2

Height of the first cylinder (h1) = 24 mm

Height of the second cylinder (h2) = 16 mm

We can use the property of similarity and set up the proportion:

A1 / A2 = (h1 / h2)^2

Plugging in the given values, we get:

594π / A2 = (24 / 16)^2

Simplifying, we get:

594π / A2 = 3/2)^2

594π / A2 = 9/4

Cross-multiplying, we get:

A2 = (594π * 4) / 9

A2 = 264π mm^2

So, the correct surface area of the second cylinder is 264π mm^2.

Answer:

m

=

-0.052

Step-by-step explanation:

Answer:

He is correct

Step-by-step explanation:

Here, we have 3 types of coins which are;

3 quarters

2 dimes

3 nickels

Now, we want to obtain the probability that if two coins are selected, both will be dimes.

Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.

Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4

This shows that she is correct.

Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time

Step-by-step explanation:

\(4\)

\(4 {x}^{2} - 3x {y}^{2} \)

If there is no vertical line that intersects the graph in more than one point, then the equation is a function.

In a function, each input produces a unique output. But different inputs may produce the same output.

Therefore, if an equation determines a unique y-value for each value of x, then the equation is said to be a function.

An equation is considered a function if there is a unique output (y) for every input (x). In other words, every x-value produces only one y-value.

If multiple x-values produce the same y-value, then the equation is not a function.

To test whether an equation is a function or not, we can use the vertical line test.

If we can draw a vertical line that intersects the graph in more than one point, then the equation is not a function.

If there is no vertical line that intersects the graph in more than one point, then the equation is a function.

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In the case above, the correct vectors are:

The solution for the Ship's vector are:

Note that the Horizontal aspect = 30 cos 30  

                                                   = 25.98.

For the  Vertical aspect = 30 sin(-30)

                                        = -15.

Hence it will be  <25.98, -15>.

In regards to the current's vector:

The Horizontal aspect=  5 sin 20

                                       = 1.71.

The Vertical aspect = 5 cos 20

                                     = 4.7.

Hence it will be <1.71, 4.7>.

Therefore, In the case above, the correct vectors are:

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The volume of the rectangular pyramid is 84 cubic inches.

Since the rectangular prism has a volume of 252 in.3 and is rectangular, we know that its volume can be calculated as length x width x height. Let's call the length, width, and height of the rectangular prism "l", "w", and "h", respectively.

So, we have:

l x w x h = 252 in.3

Now, we know that the rectangular pyramid has a base and height that are congruent to the prism. This means that the base of the pyramid is also a rectangular shape with length "l" and width "w", and the height of the pyramid is also "h".

The formula for the volume of a rectangular pyramid is:

(1/3) x base area x height

Since the base of the pyramid is congruent to the base of the prism, the base area of the pyramid is also l x w. So, we can substitute these values into the formula:

(1/3) x (l x w) x h

Simplifying:

(1/3) x lwh

We already know that we = 252 in.3, so we can substitute that in:

(1/3) x 252 in.3

Simplifying:

84 in.3

Therefore, the volume of the rectangular pyramid is 84 in.3.


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Answer:

V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898