Ellen, Nick, and Ryan went shopping together. One of them bought a hat, another bought sunglasses, and another bought a belt. One paid $6, another paid $8, and another paid $10.
1) Nick bought the hat.
2) Ellen spent $8.
3) The belt did not cost $10.
4) Ryan spent the most. Which of the following is true?

(a) Nick bought the hat for $10.
(b) Ellen bought the belt for $8.
(c) Ryan bought the sunglasses for $8.
(d) Ryan bought the belt for $10
(e) Ryan bought the hat for 56.​

Answer:

The question is not complete

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

Learn more about sine law here:

https://brainly.com/question/13098194

#SPJ1

The odds of the next match from the probability of 11/23 is 11 : 12

From the question, we have the following parameters that can be used in our computation:

Probability = 11/23

For a probability represented as a/b, the odds is

Odds = a : b - a

In this case

a = 11 and b = 23

Using the above as a guide, we have the following:

Odds = 11 : 23 - 11

Evaluate the difference

So, we have

Odds = 11 : 12

Hence, the value of the odds is 11 : 12

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = \(P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2\)

attached below is the remaining solution

Answer:

66n-17m

Step-by-step explanation:

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

Answer:

66n - 31m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

26n - 7m + 4(10n - 6m)

Step 2: Simplify

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

The identity to be used here is [ (a - b)² = a² - 2ab + b² ]

First, try to get the given expression in form of terms on the RHS of the above identity

\(\qquad \sf  \dashrightarrow \: 4y {}^{2} - 6yz + 9 {z}^{2} \)

\(\qquad \sf  \dashrightarrow \: (2 {}^{2})( {y}^{2}) - 2(3)(y)(z) + (3 {}^{2} ) {z}^{2} \)

\(\qquad \sf  \dashrightarrow \: (2y) {}^{2} - (2y)(3z) + (3z) {}^{2} \)

[ it's in form of a² - ab + b² now, add and deduct ab here ]

\(\qquad \sf  \dashrightarrow \: (2y) {}^{2} - (2y)(3z) + (9z) {}^{2} - (2y)(3z) + (2y)(3z)\)

\(\qquad \sf  \dashrightarrow \: (2y) {}^{2} - 2(2y)(3z) + (3z) {}^{2} + (2y)(3z)\)

[ Apply the identity ]

\(\qquad \sf  \dashrightarrow \: (2y - 3z) {}^{2} + (2y)(3z)\)

\(\qquad \sf  \dashrightarrow \: (2y - 3z) {}^{2} + 6yz\)

[ That's probably the answer, it can't be simplified more ]

To factorize the expression \(\sf\:4y^2 - 6yz + 9z^2 \\\), we can use the quadratic formula.

We have the quadratic expression \(\sf\:ax^2 + bx + c \\\), where $$\sf\:a = 4$$, $$\sf\:b = -6y $$, and $$\sf\:c = 9z^2 $$.

The quadratic formula states that for any quadratic equation of the form \(\sf\:ax^2 + bx + c = 0 \\\), the solutions for $$\sf\:x $$ can be found using the formula:

\(\sf\:x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\)

Applying this formula to our quadratic expression, we get:

\(\begin{align}\sf\:x &= \frac{-(-6y) \pm \sqrt{(-6y)^2 - 4(4)(9z^2)}}{2(4)} \\ &= \frac{6y \pm \sqrt{36y^2 - 144z^2}}{8} \\ &= \frac{6y \pm \sqrt{36(y^2 - 4z^2)}}{8} \\ &= \frac{6y \pm 6\sqrt{y^2 - 4z^2}}{8} \\ &= \frac{3}{4}y \pm \frac{3}{4}\sqrt{y^2 - 4z^2}\end{align} \\\)

Thus, the factored form of the expression \(\sf\:4y^2 - 6yz + 9z^2 \\\) is \(\sf\:(\frac{3}{4}y + \frac{3}{4}\sqrt{y^2 - 4z^2})(\frac{3}{4}y - \frac{3}{4}\sqrt{y^2 - 4z^2}) \\\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

✨\(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Given:

The function is:

\(f(x)=\dfrac{\sqrt{2x-6}}{x-3}\)

To find:

The smallest possible integer value for $x$ such that $f(x)$ has a real number value.

Solution:

We have,

\(f(x)=\dfrac{\sqrt{2x-6}}{x-3}\)

This function is defined if the radicand is greater than or equal to 0, i.e., \(2x-6\geq 0\) and the denominator is non-zero, i.e., \(x-3\neq 0\).

\(2x-6\geq 0\)

\(2x\geq 6\)

\(\dfrac{2x}{2}\geq \dfrac{6}{2}\)

\(x\geq 3\)             ...(i)

And,

\(x-3\neq 0\)

Adding 3 on both sides, we get

\(x-3+3\neq 0+3\)

\(x\neq 3\)             ...(ii)

Using (i) and (ii), it is clear that the function is defined for all real values which are greater than 3 but not 3.

Therefore, the smallest possible integer value for x is 4.

Answer:

I would say C: Finding the perimeter of a garden

Step-by-step explanation:

You don't need to use quadratic functions to find the perimeter of a garden. There are uses of quadratic functions in all the other options.

Quadratic functions are often applied in solving real life models.

It is least likely to apply the quadratic function in (c) finding the perimeter of a garden

The height of a ball follows a parabola, hence quadratic function would definitely be applied.

The minimum cost and the maximum surface areas are optimizing functions; this also means that quadratic function would absolutely be applied.

However, the perimeter of a garden is simply the sum of the side lengths.

Except in few cases, when the side lengths are unknown, the perimeter can be calculated easily.

Hence, it is least likely to apply the quadratic function in (c) finding the perimeter of a garden

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

Answer:

Distributive

Step-by-step explanation:

5 was distributed to (x-3) so the distributive propierty justifies the given statement

Answer:

Distributive

Step-by-step explanation:

5 was distributed to ( x - 3 ) so the Distribute Property justifies the given statement.

Answer:

the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20). Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism. In this case, the height of the prism is (1/2x-3), the length is (x+5), and the width is (x-4).

Substituting these values into the volume formula, we get:

V = (1/2x-3)(x+5)(x-4)

Expanding this expression using the distributive property, we get:

V = (1/2x^2 - 3x)(x+5)(x-4)

Using the distributive property again, we get:

V = (1/2x^2 - 3x)(x^2 + x - 20)

Using the distributive property once more, we get:

V = 1/2x^3 - 3x^2 - 4x + 20

This expression is equivalent to the expression in answer choice D. Therefore, the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20)

Answer:

Step-by-step explanation:

None of the answers are correct.

34+5y

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Answer:

Step-by-step explanation:

208

Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Answer:

70%

Step-by-step explanation:

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

To learn more on unit vectors: https://brainly.com/question/28028700

#SPJ1

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

Read more on dollar here

https://brainly.com/question/29173646

#SPJ1

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

The graph of the inverse of the function is shown below.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

From the information provided, we can logically deduce the following ordered pairs from the graph of the parent function:

x, f(x) = {(-2, 5), (-1, 1), (1, 2), (2, 3)}

In order to determine the inverse of this function f(x), we would interchange (swap) both the input value (x) and output value (y) as follows:

Inverse of f(x) = {(5, -2) (1, -1), (2, 1), (2, 3)}

Read more on inverse function here: https://brainly.com/question/11708458

#SPJ1

Answer:

Step-by-step explanation:

The rate of change is 30 songs every week

Initial value 150

5x+30=y

Answer: I did one like that and got it correct.

\(\huge\textsf{Hey there!}\)

\(\mathsf{= (3^{-1}+4^{-1})^{-2}}\\\\\\\mathsf{3^{-1} = \bf {\dfrac{1}{3}}}\\\\\\\mathsf{4^{-1} = \bf \dfrac{1}{4}}\\\\\\\mathsf{= (\dfrac{1}{3}+\dfrac{1}{4})^{-2}}\\\\\\\mathsf{\dfrac{1}{3} + \dfrac{1}{4} = \bf \dfrac{7}{12}}\\\\\\\mathsf{= (\dfrac{7}{12})^{-2}}\\\\\large\text{Simplify above and you have your overall answer...}\\\\\\\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{144}{49}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}\)

Step-by-step explanation:

use an interest calculator it is going to be much easier

I believe its $6986.25

https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx

Answer:

D

Step-by-step explanation:  5 16 4 17