a deli offers 3 kinds of bread, 4 kinds of deli meat, and 3 types of cheese. how many different sandwiches can be made from 1 type of bread, 1 type of meat, and 1 type of cheese?

Answer:

\( Volume = 7440.16 ft^3 \)

Step-by-step explanation:

Volume of the composite object = volume of cylinder - volume of rectangular prism

Volume of the composite object = πr²h - whl

where,

π = 3.14

r = 14 ft

h = 14 ft

w = 6 ft

l = 14 ft

\( Volume = (3.14*14^2*14) - (6*14*14) \)

\( Volume = 8616.16 - 1176 \)

\( Volume = 7440.16 ft^3 \)

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Using a trigonometric relation we can see that:

CA = 5.03

On the image we can see a right triangle, we can see that the angle B is 40°, and the length of BC is 6 units.

We want to get CA, which is the opposite cathetus, if we use the trigonometric relation:

tan(B) = (opposite cathetus)/(adjacent cathetus)

Then we will get:

tan(40°) = CA/6

Solving for CA

CA = 6*tan(40°)

CA = 5.03

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Answer:

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

Given system of inequalities:

Plot the inequality and the given points to determine which of them fall into solution area.

See attached.

As we see only two points fall in the solution area, brown zone on the bottom: (6, −2), (6, 0.5).

(Answer:

(6, 5)

Step-by-step explanation:

For this question, there are not two correct choices.

Given systems:

y ≤ 2/3x + 1

y > -1/4x + 2

For the first equation, the y-intercept is 1, and the rate of change is 2/3 (rise over run). The inequality symbol is less than or equal to (≤), meaning this will be a solid line and the area shaded will be below the line.

For the second equation, the y-intercept is 2, and the rate of change is -1/4 (this means it is decreasing in number, therefore the line is going down). The inequality symbol is greater than (>), meaning this will be a dashed line and the area shaded will be above the line.

the area overlapped is where the solution will be. The answer is (6, 5) because it lies on the solid line of the first inequality, indicating it does satisfy the first inequality. Any point on the solid line satisfies the inequality. The point also lies above the second inequality, meaning it is a solution to the system.

Also, if you plug it into the system of inequalities, all the outcomes will make sense.

Answer: -28

Step by step: Do the math number=numbers simple.

It akes 2.5 seconds for the football to reach its maximum height.

It should be noted that to find the initial height of the football, we need to determine the height when t=0. We can substitute t=0 into the equation:

h(0) = -16(0)² + 80(0) + 1

h(0) = 1

We can find the time at which the vertical velocity is zero by finding the vertex of the parabolic function. The vertex can be found using the formula:

t = -b/2a

where a = -16 and b = 80. Substituting these values into the formula gives:

t = -80/(2(-16)) = 2.5

Therefore, it takes 2.5 seconds for the football to reach its maximum height.

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  3.305

 +1.7

  5.005

Line up the decimal points and add like you usually would add.

5.005 is the answer.

Answer: 4

Step-by-step explanation:

9514 1404 393

Answer:

   2/3x -1/4

Step-by-step explanation:

It might be easier to start off by multiplying the expression by 12.

  p = 5/6x-5/12x-1/3+1/4x+1/12  . . . . . . . we have named the expression "p"

  12p = 10x -5x -4 +3x +1 . . . . . . . . clear fractions

  12p = x(10 -5 +3) +(-4 +1) . . . . collect terms

  12p = 8x -3

Now, we can divide by 12 and reduce the fractions.

  p = 8/12x -3/12 = 2/3x -1/4

Answer:

a) 1 : 100

1 cm en el mapa equivalen a 100 cm en la realidad

b) 1 : 1000

1 cm en el mapa equivalen a 1000 cm en la realidad

c) 1 : 2000

1 cm en el mapa equivalen a 2000 cm en la realidad

d) 1 : 18000

1 cm en el mapa equivalen a 18000 cm en la realidad

Step-by-step explanation:

Tenemos 4 escalas :

a) 1 : 100

b) 1 : 1000

c) 1 : 2000

d) 1 : 18000

Definimos ''escala'' como una relación entre dos números ''a'' y ''b'', generalmente ''a'' y ''b'' son números naturales. Denotamos la escala como :

a : b

En dónde ''a'' representa la longitud del dibujo y ''b'' la longitud real.

Por ende, cuando \(a<b\) estamos en presencia de una escala de reducción y cuando \(a>b\) estamos en presencia de una escala de ampliación.

La escala \(a=b\) ó 1 : 1 se define como escala natural.

Analicemos cada caso :

a) 1 : 100

Aquí vemos que es una escala de reducción (dado que 1 < 100) por ende cualquier magnitud de longitud en el mapa será 100 veces más grande en la vida real.

En este caso, 1 cm en el mapa equivalen a 100 cm en la realidad.

Análogamente y con el mismo razonamiento, escribimos las relaciones para los casos b), c) y d)  

b) 1 cm en el mapa equivalen a 1000 cm en la vida real

c) 1 cm en el mapa equivalen a 2000 cm en la vida real

d) 1 cm en el mapa equivalen a 18000 cm en la vida real

b), c) y d) también representan escalas de reducción.

To calculate Randy Burgarner's social security tax withholding, we first need to determine his gross monthly salary. Randy's total earnings to date are $14,400.00. Since we know that his gross monthly salary is $3,600.00, we can divide the total earnings by the number of months worked.

Social security tax withholding is $223.20 and medicare tax withholding for Randy Burgarner is $52.20. The solution to this problem is explained as under.

Total earnings to date: $14,400.00
Gross monthly salary: $3,600.00
Months worked = Total earnings to date ÷ Gross monthly salary
Months worked = $14,400.00 ÷ $3,600.00
Months worked = 4
Randy has worked for 4 months. Now we can calculate the social security tax withholding for this month.

The social security tax rate is 6.2% of the gross salary. To find the social security tax withholding, we multiply the gross monthly salary by the social security tax rate.
Social Security tax rate: 6.2%
Gross monthly salary: $3,600.00
Social Security tax withholding = Gross monthly salary × Social Security tax rate
Social security tax withholding = $3,600.00 × 6.2%
Social security tax withholding = $223.20
Therefore, this month's social security tax withholding for Randy Burgarner is $223.20.

Now let's calculate the Medicare tax withholding for this month.
The Medicare tax rate is 1.45% of the gross salary. To find the Medicare tax withholding, we multiply the gross monthly salary by the Medicare tax rate.
Medicare tax rate: 1.45%
Gross monthly salary: $3,600.00
Medicare tax withholding = Gross monthly salary × Medicare tax rate
Medicare tax withholding = $3,600.00 × 1.45%
Medicare tax withholding = $52.20

Therefore, this month's Medicare tax withholding for Randy Burgarner is $52.20.

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The value of p in the equation m = 4 / (p - d) on solving is p =  (4 + md) / m.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

m = 4 / (p - d)

Multiply the denominator of the right side by the left term as shown below,

m (p - d) = 4

mp - md = 4

Add md to both sides,

mp - md + md = 4 + md

mp = 4 + md

p =  (4 + md) / m

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Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

Blake flips a fair coin and stops flipping once he gets a head and he gets the minimum of 64 and 2^n, where n is the total number of Blake's flips. The fair value of this game is 7.

In this question, we need to calculate the number of flips of coin that blake did until he gets a head.

We know that each flip has a 50/50 chance of being heads or tails. So, the probability of getting a head on every flip is 0.5

The expected value here is computed as:

= P(n = 1) x (2^1) + P(n = 2) x (2^2)  +  P(n = 3) x (2^3) +  P(n = 4) x (2^4) +  P(n = 5) x (2^5) + P(n >= 6) x (2^6)

= (0.5^1) x 2 + (0.5^2) x 4 + (0.5^3) x 8 + (0.5^4) x 16 + (0.5^5) x 32 + (1 - 0.5 - 0.25 - 0.125 - 0.0625 - 0.03125) x 64

= 5 + 0.03125*64

= 5 + 2

= 7

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In linear equation, The maximum height reached by the rocket, to the nearest tenth of a foot is 503 feet.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

y=-16x²+ 72x + 144

dy/dx = -16(2x)+ 72

Substitute the value of dy/dx as 0, to get the value of x,

0 = -32x + 72

72 = 32x

x = 2.25

Substitute the value of x in the equation to get the maximum height,

y=-16x²+228x+71

y=-16(2.25²)+228(2.25)+71

y= 503 feet

Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 503 feet.

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The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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Answer:

False, FA can't be all three. (See explanation below to see which one FA is.)

Brainliest, please!

Step-by-step explanation:

A line has goes on and on forever in two different directions.

A line segment has two endpoints and does not go on and on forever.

A ray has one endpoint and goes on and on forever in one direction.

It is impossible for FA to be all three, or two even.

Answer: 2,3,1

Step-by-step explanation:

This limit is less than 1 if and only if |x-1| < 1/6, so the interval of convergence is: (1-1/6, 1+1/6) = (5/6, 7/6)

The Taylor series for f(x) = -14/x centered at x=1 is:

\(f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...\)

Taking the derivatives of f(x), we have:

f(x) = -14/x

\(f'(x) = 14/x^2\)

\(f''(x) = -28/x^3\)

\(f'''(x) = 84/x^4\)

Evaluating these at x=1, we get:

f(1) = -14

f'(1) = 14

f''(1) = -28

f'''(1) = 84

Substituting these values into the Taylor series, we get:

\(f(x) = -14 + 14(x-1) - 28(x-1)^2/2! + 84(x-1)^3/3! - ...\)

To determine the interval of convergence, we can use the ratio test:

\(lim_{n- > inf} |a_{n+1}(x-1)/(a_n(x-1))| = lim_{n- > inf} |(84/(n+1))/(14/n)| |x-1| = |6(x-1)|.\)

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The interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.

To determine the interval of convergence for the Taylor series of f(x) = -14/x at x = 1, we first find the Taylor series representation. Since f(x) is a rational function, we can rewrite it as f(x) = -14(1/x) and then use the geometric series formula:

f(x) = -14Σ((-1)^n * (x - 1)^n), where Σ is the summation symbol and n runs from 0 to infinity.

To find the interval of convergence, we use the ratio test. The ratio test involves taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:

lim (n→∞) |((-1)^(n+1)(x - 1)^(n+1))/((-1)^n(x - 1)^n)|

Simplify the expression:

lim (n→∞) |(x - 1)|

For convergence, this limit must be less than 1:

|(x - 1)| < 1

This inequality gives us the interval of convergence:

-1 < (x - 1) < 1

Add 1 to each part:

0 < x < 2

So, the interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.

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All the evaluations of f(x) and g(x) are:

We have the functions:

f(x) = 2x² + x - 3

g(x) = (2x - 1)/3

Let's evaluate the functions in the given values, to do so, just replace the x by the correspondent value.

a) f(0):

f(x) = 2x² + x - 3

f(0) = 2(0)² + (0) - 3

f(0) = 0 + 0 - 3

f(0) = -3

b) g(0):

g(x) = (2x - 1)/3

g(0) = (2(0) - 1)/3

g(0) = (0 - 1)/3

g(0) = -1/3

c) f(-2):

f(x) = 2x² + x - 3

f(-2) = 2(-2)² + (-2) - 3

f(-2) = 2(4) - 2 - 3

f(-2) = 8 - 2 - 3

f(-2) = 3

d) g(5):

g(x) = (2x - 1)/3

g(5) = (2(5) - 1)/3

g(5) = (10 - 1)/3

g(5) = 9/3

g(5) = 3

e) f(-(2/3)):

f(x) = 2x² + x - 3

f(-(2/3)) = 2(-(2/3))² + (-(2/3)) - 3

f(-(2/3)) = 2(4/9) - 2/3 - 3

f(-(2/3)) = 8/9 - 2/3 - 3

f(-(2/3)) = 8/9 - 6/9 - 27/9

f(-(2/3)) = (8 - 6 - 27)/9

f(-(2/3)) = -25/9

f) g(7/2):

g(x) = (2x - 1)/3

g(7/2) = (2(7/2) - 1)/3

g(7/2) = (14/2 - 1)/3

g(7/2) = (13/2)/3

g(7/2) = 13/6

g) f(3):

f(x) = 2x² + x - 3

f(3) = 2(3)² + 3 - 3

f(3) = 2(9) + 3 - 3

f(3) = 18 + 3 - 3

f(3) = 18

h) g(-7):

g(x) = (2x - 1)/3

g(-7) = (2(-7) - 1)/3

g(-7) = (-14 - 1)/3

g(-7) = -15/3

g(-7) = -5

i) f(1/2):

f(x) = 2x² + x - 3

f(1/2) = 2(1/2)² + (1/2) - 3

f(1/2) = 2(1/4) + 1/2 - 3

f(1/2) = 1/2 + 1/2 - 3

f(1/2) = 1 - 3

f(1/2) = -2

j) g(-1/2):

g(-1/2) = (2*(-1/2) - 1)/3

g(-1/2)  = (-1 - 1)/3 = -2/3

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Answer: 23.9

Step-by-step explanation:

Height = 2m

Length of Ramp = 24m

Find length of ramp extension on ground using Pythagoras

Length of ramp extension on ground = \(\sqrt{24^{2}-2^{2} }\)

=23.91652149

=23.9

Answer:

m2KJL = 54°

Step-by-step explanation:

In AJKL,

MAJKL = 72°

JK = KL

Since, two sides of AJKL are congruent, triangle is an isosceles triangle.

By the property of an isosceles triangle,

Opposite angles of the congruent sides of an isosceles triangle are equal in measure.

Therefore, J = ZL

By the property of a triangle,

Sum of all interior angles of a triangle is 180°.

m2J + m2K + m2L = 180°

mzJ + 72° + mzJ = 180° [Since, mzJ = mzL]

2mzJ = 180° - 72°

mzJ = 54°

Therefore, mZKJL or mzJ is 54°.

Answer:

the slope is 21/11 and the y-intercept is (0,1)

x= -9 and y= -3

What is equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

A)  rearranging equation (2) to make x the subject

\(x-3=4y\\x-4y=3\)

Also,

\(4y=x-3\\y=(x-3)/4\)

by subtitution method

putting this value of y in equation 1)

\(x-2((x-3)/4)=15\\\\x-2x+6=15\\x=-9\\y=(-9-3)/4\\y=-3\)

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Answer:

13 253/1000

Step-by-step explanation:

To convert 13.253 to a fraction first write it like this:

13.253/1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10^3= 1000, so that there is no decimal point in the numerator.

13.253 x 1000 / 1 x 1000  = 13253/1000

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 13.253 as a mixed number, thus 13253/1000 is equal to:

13 253/1000

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer: 5. 420,  6. 450,  7. 750,  8. 756

Step-by-step explanation: