Simplify: 4x^3+5y^3+2x^3+7y

A: 6x^3+5y^3+7y
B: 6x^6+12y^4
C: 6x^6+5y^3+7y
D: 9xy^3+2x^3+7y

Answer:

Step-by-step explanation:7

Answer:

Step-by-step explanation:

each of the 6 number has a 1/6 chance of being rolled

 1       2       3      4      5       6

1/6     1/6    1/6    1/6    1/6    1/6

Every time the cube is rolled  there is a 6/6 chance of any number comes up

1/6  +   1/6  +  1/6 +   1/6 +   1/6  +  1/6   = 6/6     or  1  

What is the probability of NOT rolling a 2? Any other number

 1        2       3        4        5         6

1/6  +   0  +  1/6 +   1/6  +  1/6 +   1/6   =   5/6    or    0.8333

Answer:

B.

at most 199 miles

Step-by-step explanation:

To find how many miles Emily drove, we need to use the equation

Total cost = flat fee + miles driven * cost per mile

Substituting in the numbers

121 ≥ 21.50 + m * .5

121≥ 21.50 +.50m

Subtract 21.50 from each side.

99.50 ≥ .5m

Divide each side by .5

199 ≥m

Emily drove less than or equal to 199 miles

Answer:

3

Step-by-step explanation:

If the population is half women, then we can expect that half of the 408 people chosen would also be women. Therefore, we can expect 204 women to be in the sample if it was randomly drawn from the population.

To determine how likely it is that the sample has only 184 women or fewer, we need to use a statistical test. We can use a binomial distribution with n=408 and p=0.5 (since half the population is women). We want to find the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population. Using a binomial calculator, we find that the probability of getting 184 women or fewer in the sample if it was randomly drawn from the population is 0.0036, or 0.36%. This means that if the sample truly was randomly drawn from the population, it would be very unlikely to get a sample with only 184 women or fewer. However, if the sample did have only 184 women or fewer, it could suggest that the sample was not truly randomly chosen and that there may be bias against women in the selection process. Further investigation would be needed to confirm this suspicion.

Learn more about population here

https://brainly.com/question/31243583

#SPJ11

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

24

Step-by-step explanation:

We know that AOE equal 18 and EC equal 8. That emans that AEC equal 26.

O is the center of the circle, By definition of the circle, OA, OD,OC and OB are all radii, by definition of a radius and are equal to each other.

Since OA and OC are radii, they form the diameter AEC so they both split the diameter, which is 26 into two equal parts. So OA length is 13, and OC length is 13.

Let's find the length of OE. OC measures 13, EC measures 8 so the the length of OE is 13-8=5.

Remeber that a chord is perpendicular to the radius. So let draw line segment OD. We know have a right triangle OED. We know OD is the radii so the length is 13. OE length is 5 so we can apply Pythagoren Theorem.

\( {5}^{2} + {x}^{2} = {13}^{2} \)

\(25 + {x}^{2} = 169\)

\( {x}^{2} = 144\)

\(x = 12\)

So the length of DE is 12. OEB also forms a right triangle since OEB and ODE share two side lengths and a right angle, they are similar triangles so EB length is 12.

So DEB length is 24.

Answer:

18 pints of juice

Step-by-step explanation:

1 pint is equal to 2 cups, so knowing this we just divide 36 by 2

36/2 = 18

Adam's credit card uses the adjusted balance method and has a 30-day billing cycle. Given his credit card activity over three months and an APR of 14.63%, we need to determine Adam's balance at the end of June.

To calculate Adam's balance at the end of June, we need to consider his credit card activity and apply the adjusted balance method. The adjusted balance method takes into account the beginning balance, transactions during the billing cycle, and payments made.

Let's calculate Adam's balance step by step:

1. April:

  - Beginning balance: $626.45

  - Purchases: $37.41 and $44.50

  - Ending balance: $626.45 + $37.41 + $44.50 = $708.36

2. May:

  - Payments: $65.50 and $104.77

  - Purchases: $24.89

  - Ending balance: $708.36 - $65.50 - $104.77 + $24.89 = $563.98

3. June:

  - Payments: $23.60

  - Purchases: $15.00 and $51.85

  - Ending balance: $563.98 - $23.60 + $15.00 + $51.85 = $607.23

To calculate the finance charges, we need to multiply the average daily balance by the daily periodic rate. The daily periodic rate can be calculated by dividing the APR by 365.

Average daily balance = (Beginning balance + Ending balance) / 2

                   = ($626.45 + $607.23) / 2

                   = $616.84

Daily periodic rate = 14.63% / 365 = 0.0004016

Finance charges = Average daily balance * Daily periodic rate * Billing cycle

               = $616.84 * 0.0004016 * 30

               = $7.41 (rounded to the nearest cent)

Finally, to find Adam's balance at the end of June, we add the finance charges to the ending balance:

Balance at the end of June = Ending balance + Finance charges

                         = $607.23 + $7.41

                         = $614.64

Therefore, Adam's balance at the end of June is approximately $614.64, which is not one of the options provided.

To learn more about  balance Click Here: brainly.com/question/22262659

#SPJ11

Answer:

138 laps in 23 minutes

Step-by-step explanation:

30/5

x/23

5x=690

690/5=138

The selling price of the the purse in a department store is cents.

For the given question-

A purse in such a department store costs $12.50 at wholesale.

The purse will be 140% more expensive at the store.

Then,

140% of 12.50 = 140 x 12.50 / 100

140% of 12.50 = 17.5

Selling price  = percent increase + cost price

Selling price  = 17.5 + 12.5

Selling price  = $30.0

Selling price  = 3000 cents

Thus, the selling price of the the purse in a department store is cents.

To know more about the selling price, here

https://brainly.com/question/1153322

#SPJ4

The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

Learn more about Probability click here :brainly.com/question/32004014

#SPJ11

The addition of the "amount of wine consumed with meal" variable has likely caused multicollinearity between it and the "location" variable, resulting in the insignificance of the latter variable in the second model.

When two variables are highly correlated with each other, they can cause multicollinearity in a regression model, leading to unstable and insignificant coefficients. The increase in the R-squared value suggests that the added variable has improved the model's predictive power, but the decrease in the adjusted R-squared value indicates that the addition of the variable has not improved the model's overall fit, and the increase in complexity may have decreased the model's generalizability.

You can learn more about variables at

https://brainly.com/question/27993463

#SPJ11

\(\huge\color{purple}\boxed{\colorbox{black}{Answer ☘}}\)

in ∆ABE

\( \tan(theta) = \frac{p}{b} \\ \tan(60) = \frac{h}{x} \\ \sqrt{3} = \frac{h}{x} \\ h = \sqrt{3}x\)

Now, in ∆CDE

\( \tan(theta) = \frac{p}{b} \\ \tan(30) = \frac{h}{80 - x} \\ \frac{1}{ \sqrt{3} } = \frac{ \sqrt{3}x }{80 - x} (from \: (1)) \\ = > 3x = 80 - x \\ 4x = 80 \\ x = 20\)

distance of pole CD from E = 80 - x = 60m

distance of pole AB from E = x = 20m

\(h = \sqrt{3} x = 20 \sqrt{3}m\)

Step-by-step explanation:

well, we have several right-angled triangles here.

the main one from the point in the street to the 2 tops of the poles.

and the 2 side ones of the poles to the point on the street.

we know the angle above the point in the street is 90 degrees, because the other 2 angles of the main triangle are 30 and 60 degrees. and the sum of all angles in a triangle must always be 180 degrees.

as the angles up are 30 and 60 degrees, so are their mirrored twins at the tops of the poles as part of the main triangle.

the Hypotenuse of the main triangle is the connection between the tops of the poles, and is also 80m long.

so, now that we have established the "picture", we can use the law of sine to get all the other side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the correlated angles.

so, we know,

80/sin(90) = 80 = a/sin(30) = 2a = b/sin(60)

a = 80/2 = 40m (the connection from the point in the street to the top of the pole under 60°)

b = 80×sin(60) = 69.2820323... m (the connection from the point in the street to the top of the second pole under 30°).

now we use the same principle on the side lengths of the 2 side triangles. their Hypotenuses are the 2 sides we just calculated.

let's start with the one with the round number as Hypotenuse : 40m

40/sin(90) = street distance / sin(30) = 2× street distance

street distance = 40/2 = 20m

that means the street distance of the point in the street to the other pole is 80-20 = 60m

for the pole height(s) we now just use regular Pythagoras

c² = a² + b²

with c being the Hypotenuse.

40² = 20² + pole height²

1600 = 400 + pole height²

1200 = pole height²

pole height = 34.64101615... m

Given,

The radius of the circle is 5 meters.

Required

The area of the circle shaped swimming pool.

The area of the circle is calculated by using the formula,

Substituting the values then,

Hence, the area of the swimming pool is 78.5 square meters.

The expression -2(3m - 2) - 5 + 4m should be simplified by applying the distributive property first, followed by combining like terms. The simplified expression is -2m - 1.

To simplify the expression -2(3m - 2) - 5 + 4m, we need to determine whether to apply the distributive property first or combine like terms first.

The distributive property states that when a number is multiplied by a sum or difference inside parentheses, it must be distributed or multiplied by each term inside the parentheses.

In this expression, we have -2 multiplied by the quantity (3m - 2). Applying the distributive property would involve multiplying -2 by both terms inside the parentheses: \(-2 \times 3\) m and \(-2 \times -2.\)

On the other hand, we also have 4m in the expression, which is a term with the variable 'm'. Combining like terms involves simplifying expressions that have the same variable and power.

In this case, we have \(-2 \times 3\) m and 4m, which are both terms with 'm'.

To decide whether to use the distributive property first or combine like terms first, we need to prioritize the order of operations. The order of operations dictates that we should perform multiplication before addition or subtraction.

Therefore, we should first apply the distributive property to -2(3m - 2), resulting in -6m + 4. Then we can combine like terms by adding -6m and 4m, resulting in -2m. Finally, we can combine the constant terms by adding -5 and 4, resulting in -1.

For more such questions on distributive property

https://brainly.com/question/4077386

#SPJ8

Therefore, 150 is the largest integer that is a factor of both 1450 and 2400.

Prime factorization is the process of breaking down a positive integer into its prime factors, which are prime numbers that can divide the integer without a remainder. Every positive integer can be written as a product of prime numbers in a unique way, called its prime factorization.  Prime factorization is important in many mathematical applications, such as finding the greatest common divisor and least common multiple of two or more integers, simplifying fractions, and solving problems related to divisibility, prime numbers, and modular arithmetic.

Here,

To find the largest integer that is a factor of both 1450 and 2400, we need to first express both numbers in terms of their common prime factors and then find the product of the common prime factors raised to their lowest exponent.

The prime factorization of 1450 is 2 × 5² × 29.

The prime factorization of 2400 is 2⁴ × 3 × 5².

To find the common factors of these two numbers, we need to look for the prime factors that appear in both factorizations. These common prime factors are 2, 5², and 3.

To find the largest integer that is a factor of both 1450 and 2400, we need to multiply these common prime factors raised to their lowest exponent:

2 × 5² × 3 = 150

To know more about prime factorization,

https://brainly.com/question/29775157

#SPJ1

Answer:

y = -4x - 14

Step-by-step explanation:

plug (x, y) in to the y = mx+ b formula, and plug -4 in as m

Answer:

31

Step-by-step explanation:

The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

We have to given that,

A number 20 divided by cos70°.

We can simplify the expression as,

20 divided by cos70°

⇒ 20 ÷ cos 70°

⇒ 20 / cos 70°

⇒ 20 / 0.34

⇒ 20 x 100 / 0.34x100

⇒ 2000/34

⇒ 58.82

Therefore, The solution of expression 20 divided by cos70° is,

⇒ 20 divided by cos70° = 58.82

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

The volume of the figure is 1524.16 cm³.

We have,

To find the area of a regular hexagon, you can use the following formula:

Area = (3√3/2) x s²

where s is the length of each side of the hexagon.

In this case,

The length of each side of the hexagon is given as 4 cm.

Substituting the value of s into the formula, we get:

Area = (3√3/2) x (4 cm)²

Calculating the result:

Area = (3√3/2) x 16 cm²

Area = 69.28 cm²

Now,

The figure is a cylinder with a hexagon as its base.

So,

The volume of the figure.

= Area of the hexagon x height

= 69.28 x 22

= 1524.16 cm³

Thus,

The volume of the figure is 1524.16 cm³.

Learn more about hexagons here:

https://brainly.com/question/4083236

#SPJ1

Answer:

the equation formula is y=mx+c

Step-by-step explanation:

the slope also represent a gradient

while the y intercept form equation is

x, o

o, y

Answer:

3/2

Step-by-step explanation:

Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7

The correct statements are: f may be surjective and f cannot be injective.

1. f may be surjective:

A function is surjective (or onto) if every element in B has a corresponding element in A. It is possible for f to be surjective if multiple elements in A map to the same element in B.

2. f cannot be injective:

A function is injective (or one-to-one) if every element in A maps to a unique element in B. Since |A| > |B|, there must be at least one element in B that has more than one corresponding element in A, so f cannot be injective.

3. f may be injective:

This option is incorrect, as I explained in the previous point.

4. f cannot be surjective:

This option is incorrect, as f may be surjective, as I explained in the first point.

5. f must be surjective:

This option is incorrect, as it depends on how the elements in A map to those in B. It is possible but not guaranteed.

6. f may be injective:

This option is incorrect, as I explained in the second point.

So, the correct statements are: f may be surjective and f cannot be injective.

To know more about surjective  injective refer here:

https://brainly.com/question/5614233

#SPJ11

The value of f(-2)  is 15.

Hence option D is correct.

The given expression is

\(\int\limits {f(x)} \, dx\) = (1/3)x³ - 2x² +3x - 5

To find expression of f(x)

Differentiate it with respect to x

f(x) = x² - 4x + 3

Now put x = -2

f(-2) = (-2)² - 4(-2) + 3

       = 4 + 8 + 3

       = 15

Hence,

f(-2)  = 15

To learn more about differentiation visit:

https://brainly.com/question/30074964

#SPJ1

While Hughes played a vital role in the literary and theatrical aspects, he did not have a specific theater under his name during that time. During the Harlem Renaissance, Langston Hughes did not have a theater in New York City.

The Harlem Renaissance, a cultural and artistic movement that flourished in the 1920s and 1930s, primarily centered around the Harlem neighborhood in New York City. It was a time of artistic expression and cultural growth for African Americans, including writers like Langston Hughes.

Langston Hughes, a prominent figure of the Harlem Renaissance, had a significant impact on literature and theater during that period. However, it is important to note that while Hughes was involved in theater and playwriting, he did not have a theater of his own in New York City. He contributed to the movement through his poetry, short stories, essays, and plays, but he did not have a dedicated theater space or venue associated with his name in the city.

The Harlem Renaissance was a collective movement that involved various artists, writers, musicians, and intellectuals who contributed to the cultural scene. While Hughes played a vital role in the literary and theatrical aspects, he did not have a specific theater under his name during that time.

Learn more about  figure here:

https://brainly.com/question/30740690

#SPJ11

Answer:

a= 12

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = c^2 where c is the hypotenuse

so 9^2 + a^2 = 15^2

81 + a^2 = 225

a^2 = 144

square root both sides to get a = 12

Answer:

please screen shot it so we cna help you