Which net represents this solid figure?

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986  round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

Answer:

use the equation your teacher gave you

Assuming neither item has changed in price, the cost of a book is $13.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

Firstly, you should convert the text of the problem into equations, thus you can write:

11b+8m=207 (1)

16b+9m=280 (2)

where: b=book and m= movie

From the substitution method, you can solve this question following the steps below:

The equation 1, you can re-write as: b=(207-8m)/11. This relation, you can apply in equation2. See below.

16b+9m=280

\({16*\frac{(207-8m)}{11} }+ 9m=280 \\ \\ \frac{3312-128m}{11} + \frac{99m}{11} =\frac{3080}{11} \\ \\ 3312-128m+99m=3080\\ \\ -29m= -232\\ \\ m=8\)

If m=8, you can find the value of the cost of a book from the relation (207-8m)/11. Then,

\(b=\frac{(207-8m)}{11}=\frac{207-8*8}{11} =\frac{207-64}{11} \\ \\b=\frac{143}{11} =13\)

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Rounding to four decimal places, the probability is approximately 0.1293.

Given that the weights of steers in a herd are normally distributed with a mean (µ) of 1400 lbs and a variance (σ²) of 40,000 lbs², we first need to find the standard deviation (σ). We can do this using the formula:

σ = sqrt(σ²)

In this case, σ = sqrt(40,000) = 200 lbs.

Now, we need to find the z-scores for the weights 1580 lbs and 1720 lbs. The z-score formula is:

z = (X - µ) / σ

For 1580 lbs:

z1 = (1580 - 1400) / 200 = 0.9

For 1720 lbs:

z2 = (1720 - 1400) / 200 = 1.6

Next, we need to find the probability between these two z-scores. We can use a standard normal distribution table or calculator to find the probabilities corresponding to the z-scores:

P(z1) = P(Z ≤ 0.9) ≈ 0.8159
P(z2) = P(Z ≤ 1.6) ≈ 0.9452

Now, we'll subtract the probabilities to find the probability that the weight of a randomly selected steer is between 1580 and 1720 lbs:

P(0.9 ≤ Z ≤ 1.6) = P(Z ≤ 1.6) - P(Z ≤ 0.9) = 0.9452 - 0.8159 = 0.1293

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Answer:

If it walks like a duck and it talks like a duck, then it is a duck.

and

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.

are logically equivalent to each other.

but neither of the two is logically equivalent to

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Step-by-step explanation:

Given statements:

Statemen 1:

If it walks like a duck and it talks like a duck, then it is a duck.

Statement 2:

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.  

Statement 3:

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Let

Using p = it walks like a duck , q =it talks like a duck, r = it is a duck  the given statements can be written in symbolic form as:

Statement 1:  

p ∧ q → r

The ∧ symbol shows that if both p and q are true then, they imply r. This means both p and q together imply r

Statement 2:

~p ∨ ~q ∨ r

Here the statement p and q are negated and joined using or. So either negation p or negation of q or r (alternative)  

Statement 3:

~p ∧ ~q → ~r

The ∧ symbol shows that if both negation of p and negation of q are true then, they imply r. This means both negated p and negated q together imply negated r

Statement 1:

p ∧ q → r ≡ ~(p∨q) ∨ r               Using conditional equivalence p→q ≡ ~p ∨ q

              ≡ (~p ∧ ~q ) ∨ r          

You can see it is  equivalent to Statement 2 i.e. ~p ∧ ~q → ~r

Hence Statement 1 and Statement 2 are logically equivalent.

Now Statement 3:

~p ∧ ~q → ~r ≡ ~(~p ∧ ~q ) ∨ ~r   Using conditional equivalence p→q ≡ ~p ∨ q

                     ≡ ~(~p ) ∨ ~(~q ) ∨ ~r Using De Morgan's Law ~(p∧q) ≡ ~p ∨~q

                     ≡  p ∨ q ∨ ~r Using Double Negation Law ~(~p)≡p

This shows that Statement 3 is neither logically equivalent to Statement 1 nor logically equivalent to Statement 2.

Proof by truth table is attached. The table shows that the columns for Statement 1 and Statement 2 have same truth values.

Hence

"If it walks like a duck, and it talks like a duck, then it is a duck,"

and

"If it does not walk like a duck, and does not talk like a duck, then it is not a duck,"

are logically equivalent.

The table also shows that column for Statement 3 does not match with either of the columns for Statement 1 and Statement 2. So

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

is not logically equivalent to Statement 1 and Statement 2.

Answer:

duck walk

Step-by-step explanation:

The required length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm

Let's use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. So we have:

\($c^2 = a^2 + b^2$\)

where c is the length of the hypotenuse, a and b are the lengths of the legs.

We are given that the length of the hypotenuse is 3 cm and the length of one leg is 2 cm. Let's substitute these values into the equation above:

\($3^2 = 2^2 + b^2$\)

\($9 = 4 + b^2$\)

\($b^2 = 5$\)

\($b = \sqrt{5}$\)

So the length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm (rounded to one decimal place).

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Ben Collins plans to buy a house for $184,000, and if the real estate in his area is expected to increase in value by 3 percent each year, its approximate value will be around $208,943.95 six years from now.

To calculate the approximate value of the house six years from now, we can use the formula for compound interest: \(\(A = P(1 + r/n)^{nt}\), where \(A\)\) is the future value, \(\(P\\)) is the principal amount, \(\(r\)\) is the annual interest rate (expressed as a decimal), \(\(n\)\) is the number of times that interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the principal amount is $184,000, the annual interest rate is 3 percent (or 0.03 as a decimal), the compounding is done annually \((so \(n = 1\))\), and the time period is 6 years. Plugging these values into the formula, we get:

\(\(A = 184,000(1 + 0.03/1)^{(1)(6)}\)\)

Simplifying the equation, we have:

\(\(A = 184,000(1.03)^6\)\)

Evaluating this expression, we find:

\(\(A \approx 208,943.95\)\)

Therefore, the approximate value of the house six years from now would be around $208,943.95, assuming a 3 percent annual increase in real estate value.

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Answer:

There are 25 students in the class.

Step-by-step explanation:

Let the total number of students in the class= x

No. of students who passed the test = 18 = 72% of x = 72x/100

Therefore, 72x/100=18

=72x=18*100=1800

=x=1800/72= 25 students.

Hence, total number of students in the class= 25 students

Answer:

add 44 and 21 and you will get the answer

Answer:

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.

By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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Answer:

m = 20

Step-by-step explanation:

......................

Answer:

The answer of the questionis m=20

Given the equation:

8x + 7y = -50

We will check the options to find which order pair is the solution of the equation

Point (-6 , -1)

8 * -6 + 7 * -1 = -48 - 7 = -55 ≠ -50

Point ( 0 , -6)

8 * 0 + 7 * - 6 = -42 ≠ -50

Point (-6, 0 )

8 * - 6 + 7 * 0 = -48 ≠ -50

Point (-1 , -6)

8 * -1 + 7 * -6 = -8 - 42 = -50

so, the order pair which is a solution for the equation is (-1 , -6 )

Answer:

B.

Step-by-step explanation:

you know that (a+b+c)/d is the same as a/d + b/d + c/d.

and (a×b)/(c×d) is the same as (a/c)×(b/d).

and the powers of variables subtract when the variables are divided, and the powers add when the variables are multiplied.

14a⁸y³ / 7a⁴y

14/7 = 2

a⁸/a⁴ = a⁴

y³/y = y²

=> 2a⁴y² is the first part. that eliminates already all other answer options. only B can be right.

but let's practice and look at the second part :

-7a⁴y⁵ / 7a⁴y

-7/7 = -1

a⁴/a⁴ = 1

y⁵/y = y⁴

=> -y⁴ is the second part. B is still confirmed.

the third part :

28a¹²y² / 7a⁴y

28/7 = 4

a¹²/a⁴ = a⁸

y²/y = y

=> + 4a⁸y is the third part. B confirmed.

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z}^{2} - 14z + 48 }{ {z}^{2} + 6x - 27} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z}^{2} - 8z - 6z+ 48 }{ {z}^{2} + 9z- 3z- 27} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {z(}^{} z- 8) - 6(z - 8) }{ {z}^{} (z+ 9)- 3(z + 9)} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ {(}^{} z- 8) (z - 6) }{ {}^{} (z+ 9)(z - 3)} ÷ \cfrac{z -8}{z-3} \)

\(\qquad \sf  \dashrightarrow \: \cfrac{ (z - 6) }{ {}^{} (z+ 9)}\)

Break into two parts and simplify

\(\\ \rm\dashrightarrow \dfrac{z^2-14z+48}{z^2+6z-27}\)

\(\\ \rm\dashrightarrow \dfrac{z^2-8z-6z+48}{z^2+9z-3z-27}\)

\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)}{(z+9)(z-3)}\)

Now divide by the denominator

\(\\ \rm\dashrightarrow \dfrac{(z-8)(z-6)(z-3)}{(z+9)(z-3)(z-8)}\)

\(\\ \rm\dashrightarrow \dfrac{z-6}{z+9}\)

The sum of x and 9.4 will be x + 9.4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Saying sum x with 9.4 means we need to add x and 9.4

So,

⇒ x + 9.4

Hence "The sum of x and 9.4 will be x + 9.4".

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Answer:

step-by-step explanation: PI times diameter = 43. 96 so 44 when rounded.

Answer:

inconsistent; none

Step-by-step explanation:

Because 29 ≠ 94, the system is inconsistent. There are no solutions.

Answer:

G.

Step-by-step explanation:

It doesn't matter if you switch what is inside the parentheses, as long as you don't put it outside or switch around the equation.

(hope this helps!)

James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.

James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:

14,500 g ÷ 1000 = 14.5 kg

Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:

7,400 g ÷ 1000 = 7.4 kg

To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:

14.5 kg + 7.4 kg = 21.9 kg

Therefore, James now has 21.9 kilograms of sand in his sandbox.

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Step-by-step explanation:

2x-12

we substitute because already know the value of x

-2(3)-12

-6-12

-18

The domain of \(tanx\) is \(R - (n\pi -\frac{\pi }{2})\).

The range of the given function \(y = tanx\) is the set of all real numbers.

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of its possible output values.

According to the given question.

We have a function

\(y = tanx\)

The above function can be written as

\(y = \frac{sinx}{cosx}\)

⇒ \(tanx\) is defined for all values except the values that makes \(cosx = 0\), a fraction with denominator is not defined.

And we know that

\(cosx = 0 \ \forall \ x \in \frac{(2n+1)\pi }{2} \ where \ n \in Z\)

Hence, for all these values, \(tanx\) is not defined.

Therefore, the domain of \(tanx\) is \(R - (n\pi -\frac{\pi }{2})\).

Since, the domain of  \(tanx\) is \(R - (n\pi -\frac{\pi }{2})\), so when we input these values in the given function we get only real numbers.

Therefore, the range of the given function \(y = tanx\) is the set of all real numbers.

Thus, option D and B are correct.

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Answer:

I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...

Step-by-step explanation:

Answer:

I think it's -4418

Answer:

-3 1/3 , - 1 , -1/2 , 0 , 1 , 4 , 5 , 6 , 21/5

Answer:

-269.8

Step-by-step explanation:

Below 0 is negative.

Them do -135.8 - 134.

We have the following:

solving for d

Therefore the solution of the equation is -16

M∠CPC' is 180° when ∆ABC is rotated 90° clockwise about point P to form ∆A'B'C'.

The original triangle, ∆ABC, has angles of 70° at vertex A, 50° at vertex B, and 60° at vertex C, with apex at vertex C. When the triangle is rotated 90° clockwise about point P, a new triangle, ∆A'B'C', is formed. The angles at the vertices A', B', and C' are 160°, 100°, and 70°, respectively. The measure of the angle between points P and C, and points P and C', is 180°. This is because when a triangle is rotated 90° clockwise, the measure of the angle created between the original and rotated triangle is always 180°. Therefore, M∠CPC' is 180° when ∆ABC is rotated 90° clockwise about point P to form ∆A'B'C'.

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The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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Answer:

$10668.67

Step-by-step explanation:

If the car value goes down 16% each year, after the first year, it will be worth 1520.

The next year, it will be worth $12700.80

After the third year, the car will be worth $10,668.67