evaluate the expression 3 to the third power multiplied by 12-2 divided by 2 iready

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets assume that Kyle fill "a" 10-oz cups of coffee, "b" 14-oz cups of coffee and "c" 20 oz cups of coffee.

a + b + c = 16     (1)

10*a + 14*b + 20*c = 224       (2)

0.95*a + 1.15*b + 1.50*c = 18.60    (3)

Now, multiplying equation (1) by 10 and subtracting it from equation (2), we get

4b + 10c = 64  (4)

Again, multiplying equation (1) by 0.95 and substracting it from equation (3), we get,

0.2b + 0.55c = 3.4    (5)

Now,

Multiplying equation (5) by 20 and subtracting it from equation (4), we get

-c = -4,

Hence, c= 4

Putting this value in equation (4),

4b + 40 = 64

Hence, 4b = 24

So, b = 6

Again, putting the values of b and c in equation (1),

a + 6 + 4 = 16

Thus,

a = 6

Hence, the solution is

a = 6, 10oz cups of coffee

b = 6, 14 oz cups of coffee

c = 4, 20 oz cups of coffee

Answer:

B

Step-by-step explanation:

Set up the equation first:  

4=x^2+4 (this is because we were told f(x)=4)

Bring the 4 from the x^2 side to the side with a number:

4-4=x^2

Simplify

x^2=0

\(\sqrt{0} = 0\)

Yes, the conditions to calculate a confidence interval for a proportion are satisfied.

n = 738

p = 170/738 = 0.2297

np ≥ 10 and n(1-p) ≥ 10

np = 0.2297*738 = 169.686 ≥ 10

n(1-p) = 738(1-0.2297) = 568.314 ≥ 10

Therefore, the conditions for calculating a confidence interval for a proportion are satisfied.

Yes, the conditions for calculating a confidence interval for a proportion are satisfied. The sample size of the poll was 738 randomly selected customers of a major U.S. cell-phone carrier. Out of these 738 customers, 170 had walked into something or someone while talking on a cell phone. This gives us a population proportion of 170/738 or 0.2297. We need to ensure that np ≥ 10 and n(1-p) ≥ 10. Calculating these values, np = 0.2297*738 = 169.686 which is greater than 10 and n(1-p) = 738(1-0.2297) = 568.314 which is also greater than 10. Therefore, the conditions for calculating a confidence interval for a proportion are satisfied.

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\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em} \textit{we know that} \begin{cases} y=0.1\\ x=0.2 \end{cases} \\\\\\ 0.1=k(0.2)\implies \cfrac{0.1}{0.2}=k\implies 0.5=k\hspace{5em}\boxed{y=0.5x}\)

Step-by-step explanation:

label equations

x+y=3............1

3y+x=5.......2

make x the subject

x=3-y..........3

subs 3 into 2

3y+3-y=5

2y=2

y=1......4

subs 4 into 1

x+1=3

x=2

A=1/2(b1+b2)h

1/2(7+3)(8)

1/2(10)(8)

5*8

=40

Could you clarify? thanks.

Answer:

tell that to jessica

Step-by-step explanation:

she will kill u

Answer:

\(2.\)

Step-by-step explanation:

\(i.e \: 2, \: the \: ratio \: \frac{p}{n} \: is \: contant \: or \: = \: 2. \)

\(the \: constant \: of \: proportionality \: \\ in \: the \: above \: equation \: is \: the \: \\ unchanging \: value.\)

The value of the equation (1 - x)/2x² + x²/(2x - 2) is 0 if x² + x - 1 = 0

From the question, the equation is given as

x² + x - 1 = 0

Make x² the subject of the above equation

So, we have the following equation

x²  = 1 - x

The equation to calculate is given as

(1 - x)/2x² + x²/(2x - 2) = ?

Substitute x²  = 1 - x

(1 - x)/2x² + x²/(2x - 2) = x²/2x² + x²/(2x - 2)

Evaluate the quotient

So, we have the following equation

(1 - x)/2x² + x²/(2x - 2) = 1/2 + x²/(2x - 2)

Factor out -2

(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2(1 - x)

Substitute x²  = 1 - x

Factor out -2

(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2x²

Evaluate the quotient

(1 - x)/2x² + x²/(2x - 2) = 1/2 - 1/2

Evaluate the difference

(1 - x)/2x² + x²/(2x - 2) = 0

Hence, the solution to the equation is 0

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Answer:

h(-67) = 3158

Step-by-step explanation:

Simply plug in -67 for x:

h(-67) = -49(-67) - 125

h(-67) = 3283 - 125

h(-67) = 3158

Answer: h(-67) = 3158

Step-by-step explanation:

-49(-67)-125

3283-125

3158

A) A fοοtball game ticket cοsts 8 dοllars. The cοst fοr x tickets is 56 dοllars.

Linear equatiοns are equatiοns whοse highest pοwer οf the variables is 1. The graph οf a linear equatiοn is a straight line.

A) A fοοtball game ticket cοsts 8 dοllars. The cοst fοr x tickets is 56 dοllars.

The equatiοn x - 8 = 56 means that if yοu take away 8 frοm x, yοu get 56. Sο, x must be equal tο 64. This can be interpreted as the cοst οf x fοοtball game tickets being $56 if each ticket cοsts $8.

Hence, οptiοn A is the cοrrect interpretatiοn οf the equatiοn.

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Answer:

A. 9

Step-by-step explanation:

The scale factor = 3, meaning that you have to multiply the og shapes side lengths by 3 in order to get the new shapes side length.

We know that 10 × 3 = 30, so now we have to find what the width of the og rectangle will be.

27 / 3 = 9, so ? = 9.

To check your answer, you can multiply 9 × 3 = 27. So 9 is the missing width.

? = 9

Answer:

The answer is 9 inches.

Step-by-step explanation:

Edge 2021 + top comment !

The answer for it is diagram B because it does not cross or have parallel lines

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:

a.the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.

b.the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.

c.the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze.

Step-by-step explanation: Because of science their is a chance but the matter of individual dose not matter nor count unless there are a same matter

Answer:

.8 * .45 = .36 = 36%

.2 * .3 = .06 = 6%

is is late 42% of the time

Step-by-step explanation:

The ratio of Bob's to Ron's to Don's partnership interest is 26.6% : 33.3% : 40.0%.

A partnership interest is the percentage of a partnership that a specific member or individual owns. In this context, partnerships refer to a specific method of organizing business ownership in which each owner is a partner, with equal rights, privileges, and obligations to the company as a whole.

Data

Partnership interests in Maloney Bros:

Don - $78,000

Bob -  $52,000

Ron Maloney’s - $65,000

The total capital contribution is:

= $78,000 + $52,000 + $65,000

= $195,000

Bob's partnership interest is:

= $52,000/$195,000

= 0.266 or 26.6%.

Ron's partnership interest is:

= $65,000/$195,000

= 0.333 or 33.3%.

Don's partnership interest is:

= $78,000/$195,000

= 0.400 or 40.0%.

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Answer:

\(Rise = 11^\circ C\)

Step-by-step explanation:

Given

\(Midnight \to -7^\circ C\)

\(Midday \to 4^\circ C\)

Required

The temperature rise

This is the difference between the final and the initial temperature

\(Rise = Midday - Midnight\)

\(Rise = 4^\circ C - -7^\circ C\)

\(Rise = 4^\circ C +7^\circ C\)

\(Rise = 11^\circ C\)

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

3x3=6

6-2=4.

Thats the answer!!! yayayayayayayayaya

Number 50 in the Jack's equation represents the rate of change in the oven's temperature over time (per minute) or with respect to time by using the slope form concept.

As per the question statement, Jack is preheating his oven before using it to bake. He wants to predict the final temperature after \(x\) minutes.

He wrote the equation \(y =50x+78\) , where \(y\)  represents the final temperature in \(fahrenheit\). We are supposed to tell the significance of number 50 in the given equation.

As we know that the equation which is in the form of \(y=mx+c\), or the slop form equation, m is called the slope or the rate of change of value of \(y\) with respect to value of \(x\).

And the given equation \(y =50x+78\) is also of the form of \(y=mx+c\) hence we conclude that 50 is the slope or the  rate of change of value of \(y\) with respect to value of \(x\).

As y is the temperature in Fahrenheit therefore x is the time hence "50 Degrees Fahrenheit change of temperature per unit minute" is the significance of 50.

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================================================

Explanation:

If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.

Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.

The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.

A function assigns the values. The only function that represents y as a function of x is D.

A function assigns the value of each element of one set to the other specific element of another set.

For any relation to represent a function in terms of x that represents the value of y, the order of y in the function should be equal to 1, therefore, the power of y should be 1, also, the y variable should be alone(Isolated) on one side of the equal sign.

A.) x = y⁴

It represents x in terms of y, therefore, No.

B.) 6x² + y = 4

It represents constant in terms of x and y, therefore, No.

C.) 6x + y² = -1

It represents constant in terms of x and y, therefore, No.

D.) \(y = \sqrt{1-x^2}\)

The given function represents y in terms of x, therefore, it is a function that represents y as a function of x.

E.)  -2xy = 1

It represents constant in terms of x and y, therefore, No.

Hence, the only function that represents y as a function of x is D.\

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Answer:

Based on the search results, the question "In how many ways can the letters of the word MATHEMATICS be arranged so it starts with T and ends with M?" does not appear in any of the relevant search results. However, the search results suggest that it is possible to calculate the number of ways to arrange the letters of the word MATHEMATICS in different ways, such as:

- Treating the vowels AEAI as one letter and arranging the 8 resulting letters

- Taking into account the repeated letters (M, T) and arranging the 11 letters accordingly

Without further information or context, it is not possible to determine the exact number of ways to arrange the letters of the word MATHEMATICS in a way that starts with T and ends with M.

Step-by-step explanation:

It is false that x is a function of y

The equation is given as:

x = y^2

Set y = 2

x = (2)^2

x = 4

Set y = -2

x = (-2)^2

x = 4

Different values of y give the same x value.

This means that x is not a function of y

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The polynomial function whose graph passes through the point is

y = (-0.1168)x² + 2.1103 x + 5

How to find the polynomial function?

A polynomial is a function that has the formula f(x) = anxn + anxn + anxn+1 +... + a2x2 + a1x + a0. The highest power of x in the expression of a polynomial is its degree. Constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively, are polynomials of degree 0, 1, 2, 3, and 4.

The function be quadratic as the given points are not collinear, not a linear function

Standard form of quadratic equation:

y = ax^2 + bx + c

Substituting the coordinates, we get:

12 = a(7)^2 + b(7) + c  ⇒(1)

12 = a(11)^2 + b(11) + c  ⇒(2)

3 = a(0)^2 + b(0) + c    ⇒(3)

From equation (3) we get the value of c

⇒ c = 3

Substituting the value of c in equation (1) and equation (2)

49a + 7b = 9  ⇒(4)

121a + 11b = 9 ⇒(5)

equation (4) * 11 and equation (5) * 7

539a + 77b = 99

847a + 77b = 63

Subtracting the equations

   847a + 77b = 63

(-) 539a + 77b = 99

⇒308a = - 36

⇒ a = \(\frac{-36}{308}\)

⇒ a = -0.1168

Substitute the value of a in equation (4)

49(-0.1168) + 7b = 9

7b = 9 + 5.7232

b = \(\frac{14.7232}{7}\)

b = 2.1033

The polynomial function is y = (-0.1168)x² + 2.1103 x + 5

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