A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?

Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.

As given in the question,

Given letters are a, b, c, d, e has

Number of vowel = 2

Number of consonant= 3

Number of letter strings to be formed = 4

Condition:

First letter must be vowel

Last letter must be consonant

First place filled in 2 ways

Second and Third place filled in 5ways

Last place filled in 3 ways

Total number of ways to form four letters strings

= 2 × 5 × 5 × 3

= 150

Therefore, number of ways to form four letter string is 150 ways.

Learn more about number of ways here

brainly.com/question/29110744

#SPJ4

Answer:

Realmente no sé lo que quieres decir con esto, así que hice lo mejor que pude.

Step-by-step explanation:

Si el período de pago finaliza después del final del año, habrá días adicionales en el pago del próximo año. Esto es importante si un empleado recibió un bono de fin de año significativo, por ejemplo, ya que puede afectar su tasa impositiva. Además, si el año tuvo un período de pago adicional, es posible que los empleados reciban un cheque de pago adicional.

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer: I do not understand

Step-by-step explanation:

Answer:

17.2

Step-by-step explanation:

23 ⇒ Below 5, round down

20  ⇒ Add to decimal

17. 23 ⇒ 17.2 / 17.20

The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

To learn more about inequality click here

brainly.com/question/30238773

#SPJ11

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

19. The radius of convergence is infinity, and the interval of convergence is (-∞, ∞).

20.  The radius of convergence is infinity, and the interval of convergence is (-∞, ∞).

21. The radius of convergence is 1/24, and the interval of convergence is (-∞, -1/24) ∪ (1/24, ∞).

To determine the radius of convergence and interval of convergence for the given power series, we can use the ratio test.

19.) For the series Σ 2n=1 (-1)^(2n - 1) / 32n:

Using the ratio test, we calculate the limit:

lim (n→∞) |((-1)^(2(n+1) - 1) / 32(n+1)) / ((-1)^(2n - 1) / 32n)|

Simplifying the expression:

lim (n→∞) |-1 / (32(n+1))|

Taking the absolute value and simplifying further:

lim (n→∞) 1 / (32(n+1))

The limit evaluates to 0 as n approaches infinity.

Since the limit is less than 1, the series converges for all values of x. Therefore, the radius of convergence is infinity, and the interval of convergence is (-∞, ∞).

20.) For the series Σ (-(x + 4))^n / (1·3·5·...·(2n - 1)):

Using the ratio test, we calculate the limit:

lim (n→∞) |((-(x + 4))^(n+1) / (1·3·5·...·(2(n+1) - 1))) / ((-(x + 4))^n / (1·3·5·...·(2n - 1)))|

Simplifying the expression:

lim (n→∞) |(-(x + 4))^(n+1) / (2n(2n + 1))|

Taking the absolute value and simplifying further:

lim (n→∞) |-(x + 4) / (2n + 1)|

The limit depends on the value of x. For the series to converge, the absolute value of -(x + 4) / (2n + 1) must be less than 1. This occurs when |x + 4| < 2n + 1.

To determine the interval of convergence, we set the inequality |x + 4| < 2n + 1 to be true:

-2n - 1 < x + 4 < 2n + 1

Simplifying:

-2n - 5 < x < 2n - 3

Since n can take any positive integer value, the interval of convergence depends on x. Therefore, the radius of convergence is infinity, and the interval of convergence is (-∞, ∞).

21.) For the series Σ (3·6·9·...·(3n)) / (72(n+1)·xn):

Using the ratio test, we calculate the limit:

lim (n→∞) |((3·6·9·...·(3(n+1))) / (72(n+2)·x^(n+1))) / ((3·6·9·...·(3n)) / (72(n+1)·xn))|

Simplifying the expression:

lim (n→∞) |(3(n+1)) / (72(n+2)x)|

Taking the absolute value and simplifying further:

lim (n→∞) (3(n+1)) / (72(n+2)|x|)

The limit evaluates to 3 / (72|x|) as n approaches infinity.

For the series to converge, the limit must be less than 1, which implies |x| > 1/24.

Therefore, the radius of convergence is 1/24, and the interval of convergence is (-∞, -1/24) ∪ (1/24, ∞).

To learn more about radius of convergence visit:

brainly.com/question/31770221

#SPJ11

Translation is one of the four types of mathematical transformations that may be applied to a function graph.

(x, y) = (x + a, y + b)

In mathematics, a translation is the up, down, left, or right movement of a form. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more routes have been altered. There is no change in the form because it is just being moved from one location to another.

When the shape is moved towards the left by k units, then replace x with x - k.

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

When the shape is moved down by k units, then replace y with y - k.

Example: What are the new coordinates when the translation (x, y) → (x - 2, y + 3) is applied to the point (2, 5).

Solution:

The coordinates of old point (preimage) are (x, y) = (2, 5). Now, applying the given translation to this point,

x - 2 = 2 - 2 = 0

y + 3 = 5 + 3 = 8

Thus, the coordinates of the translated point (image) are (0, 8).

This was the example of translation.

To know about translation click the link:

brainly.com/question/12463306

#SPJ1

Answer:

34 and 30

Step-by-step explanation:

8 times 3 = 34

and 34-4=30

divide 8 by 2 and you'll get 4

so, 34-4=30

Answer:

12 lunches.

Step-by-step explanation:

Theresa:

$8.50 * 11 = $93.50 so she can buy 11 lunches with her gift card.

Colin:

$6 * 12 = $72 so he can buy 12 lunches with his gift card.

So Colin can buy one more lunch than Theresa. Therefore, if Theresa buys 12 lunches, she will go over her gift card.

All of the zeros of f(x) algebraically is 3.

What is  rational root theorem?

Mathematics has established the rational root theorem, sometimes known as the rational zero theorem. It states that if a polynomial's coefficients are integers, one may discover all rational roots by dividing each constant term factor by each leading coefficient factor.

\($$\begin{aligned}& \text { For } f=x^3+9 x^2-12 x-20 \text { substitute } x \text { with }-10 \\& =(-10)^3+9(-10)^2-12(-10)-20\end{aligned}$$\)

Simplify (-10)^3+9(-10)^2-12(-10)-20: 0

=0

x^3+9 x^2-12 x-20

Use the rational root theorem

=(x+1) \frac{x^3+9 x^2-12 x-20}{x+1}

\(\begin{aligned}& \frac{x^3+9 x^2-12 x-20}{x+1}=x^2+8 x-20 \\& =(x+1)\left(x^2+8 x-20\right)\end{aligned}\)

\(\begin{aligned}& \text { Factor } x^2+8 x-20: \quad(x-2)(x+10) \\& =(x+1)(x-2)(x+10)\end{aligned}\)

To learn more about rational root theorem visit:https://brainly.com/question/9353378

#SPJ1

Answer:

b.   side-angle-side

Step-by-step explanation:

To find the probability of the call lasting less than 230 seconds, we have to find P(X<230). Here X follows normal distribution with mean = 290

The given data: Meanμ = 290 seconds

Standard deviation σ = 30 seconds

Sample size n = 1000a) and

standard deviation = 30.

We get the value of 0.0228, which represents the area left (or below) to z = -2. Therefore, the probability that the call lasted less than 230 seconds is 0.0228 (or 2.28%). By using z-score formula;

Z=(X-μ)/σ

Z=(230-290)/30

= -2P(X<230) is equivalent to P(Z < -2) From z-table,

0.6384 (or 63.84%) P(230330) is equivalent to 1 - P(X<330)Here X follows normal distribution with mean = 290 and standard deviation = 30.From part b,

We already have P(X<330).Therefore, P(X>330) = 1 - 0.9082 = 0.0918, which is equal to 9.18%. Therefore, the probability that the call lasted more than 330 seconds is 0.1356 (or 13.56%).Answer: 0.1356 (or 13.56%). In parts a, b, and c, the final probabilities are rounded off to four decimal places as needed, as per the instructions given. However, these values are derived from the exact probabilities and can be considered accurate up to that point.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

In a Stock Dividend Assets don't change, Liabilities don't change.

In a stock dividend scenario, where a company issues additional shares of its own stock to existing shareholders, the impact on the company's balance sheet is as follows:

Assets don't change, Liabilities don't change.

When a company declares a stock dividend, it is essentially distributing a portion of its retained earnings or accumulated profits to its shareholders in the form of additional shares. This means that the company is not receiving any new assets or incurring any new liabilities in the process.

From an accounting perspective, the value of the stock dividend is reflected in the equity section of the balance sheet. The retained earnings account decreases by the value of the dividend, while the common stock or additional paid-in capital account increases by the same value. This adjustment does not affect the company's assets or liabilities.

Therefore, the correct answer is: Assets don't change, Liabilities don't change.

To learn more about Stock Dividend here:

https://brainly.com/question/32267337

#SPJ4

Answer:

Explanation:

The given angle:

For an angle in standard position on the unit circle, the location of the terminal point will be:

Answer:

A≈50.27

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving forA

A=1/ 4πd^2=1/ 4·π·82≈50.26548

Answer:

Area= 50.3cm^2

Step-by-step explanation:

Use the area of a circle formula A= πr²

Then plug in your radius which is half of your diameter.

A=π(4)² = 50.3 cm²

The argument can be symbolized as follows:

1. CI (Cat is ill)

2. FI (She was fighting)

3. AE (She ate too many mice)

4. FI ⟺ A (She was fighting only if she was attacked)

5. A ⟺ (LS ∨ SB) (She was attacked only if either the large Siamese or the small Beagle was out)

6. LS ⟺ S (The large Siamese was out only if it was sunny)

7. SB ⟺ W (The small Beagle was out only if it was warm)

8. ¬W ∧ ¬S (It was neither warm nor sunny)

To prove that she ate too many mice given the provided premises, we need to establish a logical deduction based on the symbols and relationships given.

1. CI (Cat is ill) - Given

2. FI ∨ AE (If the cat is ill, either she was fighting or ate too many mice) - Provided in the first sentence

3. FI ⟺ A (She was fighting only if she was attacked) - Provided in the second sentence

4. A ⟺ (LS ∨ SB) (She was attacked only if either the large Siamese or the small Beagle was out) - Provided in the third sentence

5. LS ⟺ S (The large Siamese was out only if it was sunny) - Provided in the fourth sentence

6. SB ⟺ W (The small Beagle was out only if it was warm) - Provided in the fourth sentence

7. ¬W ∧ ¬S (It was neither warm nor sunny) - Given

Now, we can start constructing the proof by applying logical deductions step by step.

8. ¬(W ∨ S) (De Morgan's Law, from 7)

9. ¬(SB ⟺ W) (Equivalence Law, from 6)

10. ¬(LS ⟺ S) (Equivalence Law, from 5)

11. ¬(A ⟺ (LS ∨ SB)) (Equivalence Law, from 4)

12. ¬(FI ⟺ A) (Equivalence Law, from 3)

13. ¬(FI ∨ AE) (Equivalence Law, from 2)

14. ¬FI ∧ ¬AE (De Morgan's Law, from 13)

15. ¬FI (Simplification, from 14)

16. ¬AE (Simplification, from 14)

17. ¬FI ∧ CI (Conjunction, from 15 and 1)

18. ¬(CI ⟶ ¬FI) (Implication Law, from 17)

19. CI ⟶ ¬FI (Contrapositive, from 18)

Since the negation of FI (not fighting) is true based on the premises, we can conclude that AE (ate too many mice) must be true. Therefore, the final deduction is AE (She ate too many mice).

Thus, the proof establishes that she ate too many mice based on the given premises and logical deductions.

Learn more about De Morgan's Law here:

https://brainly.com/question/29073742

#SPJ11

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

Answer:

15x+21-24+150

15×+147

Answer:

15x + 147

Step-by-step explanation:

The given algebraic expression to us is ,

⇒ 3(5x + 7) - 6(4 - 25 )

On opening the brackets ,

⇒ 15x + 21 - 24 + 150

⇒ 15x + 147

Answer:

800 dollars

Step-by-step explanation:

Answer:

$800

Step-by-step explanation:

First we need to figure out how much the total depreciation is.

200 x 6 = 1,200

2,000 - 1,200 = 800

Adding and subtracting fractions with unlike denominators is an important skill for students to master in order to understand basic math concepts.

Unlike denominators are two fractions that have different denominators, such as 1/3 + 1/4. When fractions are added together with unlike denominators, the result is a fraction with a denominator that is a common multiple of the two original denominators.

Worksheets can provide students with the practice and repetition needed to become fluent in this skill.

Worksheets can help to provide context for the concept by explaining the steps involved in solving the problem. This can give students a better understanding of the concepts behind adding and subtracting fractions with unlike denominators and make them more confident in their abilities.

Learn more about fractions:

https://brainly.com/question/10354322

#SPJ4

Given:

The linear equation is

\(y=-27x+577\)

where x represents the number of weeks and y represents the amount of money left in Alma's account.

To find:

The number of weeks in which Alma have $145 left in her account.

Solution:

We have,

\(y=-27x+577\)

Substitute y=145, we get

\(145=-27x+577\)

Subtract both sides by 577.

\(145-577=-27x\)

\(-432=-27x\)

Divide both sides by -27.

\(\dfrac{-432}{-27}=\dfrac{-27x}{-27}\)

\(16=x\)

So, the number of required weeks is 16. Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

Right on edge 2020

The approximate doubling time formula is used to estimate how long it takes for a population to double based on its growth rate. This formula works well under certain conditions.

Firstly, the population must be growing at a constant rate. Secondly, the growth rate must be exponential, which means that it is proportional to the current population size. Finally, the time period under consideration must be sufficiently short such that other factors that may influence population growth are negligible.

The approximate doubling time formula can be expressed as T = (ln 2) / r, where T is the doubling time, ln is the natural logarithm, and r is the growth rate. This formula estimates the time it takes for a population to double in size under constant exponential growth. This formula is useful for rapidly growing populations and can be used to make projections for future population sizes.
For example, the formula assumes that the population is growing constantly and that the growth rate is proportional to the population size. The formula may not be accurate if the population growth rate changes or is affected by external factors such as migration, disease, or natural disasters.
Thus, the approximate doubling time formula is a useful tool for estimating how long it takes for a population to double under constant exponential growth. This formula works well when the population is growing constantly, the growth rate is proportional to the population size, and the time period under consideration is sufficiently short.

To know more about the doubling time formula, visit:

brainly.com/question/30636985

#SPJ11

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

to know more about congruences click here:

https://brainly.com/question/30818154

#SPJ4

The formula for the radius r in terms of x . and for the maximum areas is x=2/\(\pi\)+4

Given that,

y forms a circle of radius r

y=2\(\pi\)r

r=y/2\(\pi\)

(2-y)- forms Square Side x

(2-y) = 4x

x=(2-y)/4

Now Sum of Area's=Area of Square +Area of Circle

Sum = \(\pi\)r² + x²

Substitute the r and x values in above equation,

A(y)= y²/4\(\pi\)+(y-2)²/ 16

To maximize Area A(y)

A'(y)= 0

2y/4\(\pi\) + 2(y-2)/16 =0

y/2\(\pi\) + (y-2)/8 =0

y = 2\(\pi\)/\(\pi\)+4

Y max will be max, x to be maximum.

for maximum sum of areas,

x=2/\(\pi\)+4

Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/\(\pi\)+4

Learn more about Area :

brainly.com/question/28642423

#SPJ4