Simplify: 12/10
12 132 1320 120

Answer:

Answer is the fee at bank L will be the same as P when the checking fee is 600.

Answer:

x = 48°

Step-by-step explanation:

In the given triangle XYZ,

Sides XY and XZ are congruent.

Therefore, both the sides will be equal in measure.

By the definition of isosceles triangle,

"Opposite angles of the equal sides are equal in measure"

m∠Y = m∠Z = x°

m∠X = 84° [Given]

By the triangle sum theorem,

m∠X + m∠Y + m∠Z = 180°

84° + x° + x° = 180°

2x = 180 - 84

x = 48°

Therefore, measure of x = 48° will be the answer.

Answer: lets say kellys cup of contained 8/8 of you minus 5/8 you end up with 3/8

Step-by-step explanation:

To find the probability that at most 40 of them are from out of state, we can use the binomial distribution formula. Let X be the number of out-of-state students in a dormitory with n = 180 students and p = 1/6 probability of being out-of-state. Then, P(X ≤ 40) = Σi=0^40 (180 choose i)(1/6)^i(5/6)^(180-i) ≈ 0.011.

To find the probability that at least 40 of them are from out of state, we can use the complement rule. P(X ≥ 40) = 1 - P(X < 40) = 1 - Σi=0^39 (180 choose i)(1/6)^i(5/6)^(180-i) ≈ 0.231.To find the probability that at most one-fifth of them are from out of state, we need to find the probability that X ≤ 36, since 36 is the largest integer that is one-fifth of 180. Using the same formula as in part a, we get P(X ≤ 36) ≈ 0.0003.To find the probability that at least five-ninths of them are from out of state, we need to find the probability that X ≥ 100, since 100 is the smallest integer that is five-ninths of 180. Using the same formula as in part b, we get P(X ≥ 100) ≈ 0.020.The mean number of out-of-state students in a dormitory is E(X) = np = 180*(1/6) = 30.The standard deviation of the number of out-of-state students in a dormitory is σ = sqrt(np(1-p)) = sqrt(180*(1/6)*(5/6)) ≈ 4.58.The usual range for the number of out-of-state students in a dormitory is ±2 standard deviations around the mean, which is [30-2*4.58, 30+2*4.58] ≈ [21.84, 38.16]. So, the usual range is between 22 and 38 out-of-state students.

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Answer:

55kg of dinosaur nuggets cost $10.

1kg of dinosaur nuggets cost $0.18

165kg of dinosaur nuggets cost $29.70

Thank you and please rate me as brainliest as it will help me to level up

Answer:

c

Step-by-step explanation:

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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Answer:

0.76

or

-0.76

hope this helps

The probability that fewer than 60 adults will work from home will be 2%.    

we have to use the Normal probability distribution to find the probability

In a normal distribution with mean μ, SD σ, z-score Z of a measure X  is given by

Z = (X-μ)/ σ

here,

15% adults work from home , So  p= 0.15

                                                       n = 500

∴  μ = np = 500(0.15) = 75

σ  = \(\sqrt{np(1-p)}\)

σ = 7.98

Now we have  selected adults(60) less than n (500)

So using the continuity correction , the probability is P(X< 60 - 0.5)

                                                                            = P( X< 59.5)

which is the p-value of Z when X = 59.5

∴ Z = (X-μ)/ σ

Z  =  (59.5 - 75)/7.98

Z =   - 1.98

so the p-value is 0.02

0.02 = 2% probability that fewer than 60 adults will work from home.

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To evaluate the piecewise-defined function F(x) at x = -5, we first identify the appropriate condition in the function definition that matches the given value. In this case, the condition x ≤ -3 is applicable. Therefore, we substitute -5 into the expression 4x + 4 for that condition. The result is F(-5) = 4(-5) + 4 = -20 + 4 = -16.

The given piecewise-defined function F(x) has two conditions: F(x) = 4x + 4 when x ≤ -3, and F(x) = 4x + 3 when x > -3.

We need to evaluate the function at x = -5. Since -5 satisfies the condition x ≤ -3, we use the first expression 4x + 4.

Substituting -5 into the expression, we have F(-5) = 4(-5) + 4 = -20 + 4 = -16.

Therefore, the value of the function at x = -5 is -16.

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Answer:

D)  \(x=\frac{5}{3}\) and \(x=-4\)

Step-by-step explanation:

Factor by grouping

\(3x^2+7x-20=0\\\\3x^2+12x-5x-20=0\\\\3x(x+4)-5(x+4)=0\\\\(3x-5)(x+4)=0\)

Solve each factor using the Zero Product Property

\(3x-5=0\\\\3x=5\\\\x=\frac{5}{3}\)

\(x+4=0\\\\x=-4\)

Thus, \(x=\frac{5}{3}\) and \(x=-4\) are the solutions

Answer: The answer is 3 3/8

Answer:

\(3\frac{3}{8}\)

Step-by-step explanation:

turn into improper fraction first

5 1/4 ÷ 1 5/9

21/4 ÷ 14/9

now use the skip flip multiply method i told you about before

21/4 × 9/14

189/56

3 21/56

3 3/8

hopes this helps please mark brainliest

Answer:

3.25 pounds per acre

Step-by-step explanation:

We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into \(\frac{26 pounds}{3 acres}\) , with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or \(\frac{3.25 pounds}{1 acre}\)

Answer:

The answer is D

Step-by-step explanation:

when you are dividing two numbers with an exponent you want to subtract the exponents.

7-4 =3

Answer:

x= -25

Step-by-step explanation:

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

\(99.90 + 89.90 = 189.80\)

Step 2: Find the sales tax of the result

\(\frac{8}{100}\times 189.8 = 15.184\)

Step 3: Add the result from the total cost of both items

\(189.80 + 15.184 = 204.98\)

The total cost of the hats and boots including sales tax is 204.98 dollars

The correct conclusion that we can draw from the circle graph is given as follows:

Jazz is the preferred music for 56 students.

A circle graph, also known as a pie chart, is a graphical representation of data that uses a circle divided into sectors to show the proportion or percentage of each category in the data set. Each sector represents a category or group, and the size of the sector is proportional to the frequency or relative frequency of that category.

Considering that there are 400 students and the proportion given by the circle graph, the amounts are given as follows:

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To convert volume cubic feet (cu ft) to cubic yards (cu yd), you need to use the conversion factor of 1 cubic yard = 27 cubic feet.

So, to convert a given volume from cubic feet to cubic yards, you can divide the volume in cubic feet by 27. The formula for the conversion is:

Volume in cubic yards = Volume in cubic feet / 27

For example, let's say we have a volume of 54 cubic feet that we want to convert to cubic yards. Using the formula, we have:

54 cu ft / 27 = 2 cu yd

So 54 cubic feet is equal to 2 cubic yards.

Similarly, if we have a volume of 135 cubic feet, we can convert it to cubic yards as follows:

135 cu ft / 27 = 5 cu yd

Therefore, 135 cubic feet is equal to 5 cubic yards.

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Answer:

B = 50

Step-by-step explanation:

\(\frac{5}{10} =\frac{b}{100}\)   do butterfly multiplication

\(5*100=500\)

\(10*b=10b\)

\(\frac{10b}{10}=\frac{500}{10}\)

B = 50

Step-by-step explanation:

rise = height = 5 units     run = base = 2

Use Pythagorean theorem

   L^2 = 5^2 + 2^2

     L^2 = 29

     L = sqrt (29)

Answer: 50%

Step-by-step explanation: There are 5 out of 10 employees at the water slide. 10 in this situation is going to be 100%

since there is only 5 out of 10 employees that are temporary

it would be 50%

Answer: 50%

Step-by-step explanation:

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

The relationship between the ratios 42:5 and 258:25 is that they are equal.

To determine the relationship between the ratios 42:5 and 258:25, we can simplify both ratios to their simplest form and compare them.

The first ratio, 42:5, can be simplified by dividing both numbers by their greatest common divisor (GCD), which is 1 in this case since 42 and 5 are relatively prime (they have no common factors other than 1). Therefore, the simplified form of 42:5 is 42:5.

The second ratio, 258:25, can be simplified in a similar manner. The GCD of 258 and 25 is 1, as they are relatively prime. Hence, the simplified form of 258:25 is 258:25.

Comparing the simplified forms, we can see that both ratios are already in their simplest form and have the same value. Therefore, the relationship between the ratios 42:5 and 258:25 is that they are equal.

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What is the relationship between the ratios 42:5 and 258:25 ?

Answer:

r = 1/43

-43r = -2 + 1

43r = -1

r = -1/-43

r=1/43

a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.

b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.

c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.

d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.

The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.

a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.

b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:

c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.

d. The Red Sea trough presents several hazards. They are as follows:

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The following equations will have the same value of x as the one provided:

(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5

A mathematical statement that uses the word "equal to" between two expressions with the same value is called an equation.

Like 3x + 5 = 15, for instance.

Equations come in a wide variety of forms, including linear, quadratic, cubic, and others.

So, the given equation is:

3/5(30x-15)=72

Now, we have:
3/5 * 30x - 3/5 * 15 = 72

18x - 9 = 72

Using common 3 as an example, we have the following on the left side of the equation:

3(6x-3) = 72

6x-3 = 72/3

6x-3 = 24

6x = 24+3

6x = 27

x = 27/6

x = 9/2

x = 4.5

Therefore, the following equations will have the same value of x as the one provided:

(B) 18x - 9 = 72; (D) 3(6x - 3) = 72; (E) x = 4.5

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Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{21^2+32^2-26^2}{2(21)(32)}\right)=\measuredangle J \implies \cos^{-1}\left(\cfrac{ 789 }{ 1344}\right)=\measuredangle J\implies \boxed{54.1^o\approx \measuredangle J}\)

Make sure your calculator is in Degree mode.