If AB= 5 inches and AC = 8 inches, what is the measure of BC? A) 2.5 in. B) 3 in. 11 in. D 13 in.​

Answer:

-12,-11,-10,-9

and

q<−8

hope this helps! :)

Answer:

624

Step-by-step explanation:

the answer is 624 and he should multiply to get this answer.

78x8=624

The required answer is {bba}.

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinal number of a set.

The given sets are:

\(ll1 = {a,bb}  l2 = {a} l3 = {λ,a,b,aa,ab,ba,bb,aaa,aab,aba,abb,baa,bab,bba,bbb}.\)

We need to find the value of \((l * 1 l2) ∩ l3.\)

Here, * represents the concatenation operation.

So,

\(l * 1 l2 = {xa | x ∈ l1 and a ∈ l2}\)

We have

\(l1 = {a,bb} and l2 = {a},\)

so

\(l * 1 l2 = {xa | x ∈ {a,bb} and a ∈ {a}}= {aa, bba}.\)

Now,

\((l * 1 l2) ∩ l3 = {aa, bba} ∩ {λ,a,b,aa,ab,ba,bb,aaa,aab,aba,abb,baa,bab,bba,bbb}= {bba}.\)

Therefore,

\((l * 1 l2) ∩ l3 = {bba}.\)

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Answer:

40% is bigger

Step-by-step explanation:

40% ⇒ 40/100

1/4 ⇒ 25/100

40>25

∴ 40% is bigger

The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer:

4(y+3)(y+5)

Step-by-step explanation:

4y^2+32y+60 = 4(y^2+8y+15) = 4(y+3)(y+5)

y^2+8y+15 = (y+3)(y+5)

LCD = 4(y+3)(y+5)

Based on the given parameters, the value of x such that the lines are parallel is 20

Parallel lines are lines that extend indefinitely and do not meet

The given parameter is the lines in the figure

From the figure, we have the following angles:

3x + 20 and 2x + 40

The angles are corresponding angles

Corresponding angles are congruent

So, we have

3x + 20 = 2x + 40

Collect the like terms

3x - 2x = 40 - 20

Evaluate the like terms

x = 20

Hence, the value of x such that the lines are parallel is 20

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So which means that ABC is not isosceles.

Answer:

Step-by-step explanation:

357

987

457

hope that help

mark me brill !!

Answer:

17 and 19

Step-by-step explanation:

Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.

In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.

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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.

The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:

Ed = (% change in quantity demanded) / (% change in price)

Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.

The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.

While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.

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Answer:

C

Step-by-step explanation:

use 0 and 3 for example:

replace x with 0 give you 2*0=0

add 0 with 3 and you get 3

The general solution of the given differential equation y′′−y′−6y = 0 is y = c1e^(3x) + c2e^(-2x), where c1 and c2 are constants.

The general solution of the given differential equation y′′−y′−6y = 0 can be found by using the characteristic equation method.

Step 1: Write the characteristic equation for the given differential equation.
r^2 - r - 6 = 0

Step 2: Find the roots of the characteristic equation by using the quadratic formula.
r = (-(-1) ± √((-1)^2 - 4(1)(-6)))/(2(1))
r = (1 ± √(1 + 24))/2
r = (1 ± √25)/2
r = (1 ± 5)/2
r1 = 3, r2 = -2

Step 3: Write the general solution of the differential equation using the roots of the characteristic equation.
y = c1e^(r1x) + c2e^(r2x)
y = c1e^(3x) + c2e^(-2x)

Therefore, the general solution of the given differential equation y′′−y′−6y = 0 is y = c1e^(3x) + c2e^(-2x), where c1 and c2 are constants.

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Answer: 360

Step-by-step explanation: Sum of exterior angles of any convex polygon is always 360, think about it.

I know that C(k+n−1,n) denotes the number of ways n indistinguishable books can be placed on k distinguishable shelves. But I'm not too sure how multiplying that by n! will give us the solution to the question

C(k+n−1,n)×n!

On a side note, when we are given a question that requires us to arrange n distinguishable objects into k distinguishable bins, is it correct to say that to obtain the answer we simply just have to multiply n! to the number of ways required to arrange n indistinguishable objects into k distinguishable bins.

1) The books are indistinguishable, the shelves are distinguishable

There are n books and k−1 dividers, so this is a sequence of n+k−1 stars that we will choose k−1 of the stars to turn into dividers, resulting in n stars representing books and k−1 dividers. The answer is:

                                             (n+k−1k−1)

2) The books are indistinguishable, the shelves are indistinguishable

This is just the number of ways in case 1 divide by k! because case 1 counted distinguishable shelves, which implicitly counted the permutation of the shelves. So we explicit divide by the permutation of the shelves for indistinguishable shelves. The answer is:

                                          (n+k−1k−1)k!

3) the books are distinguishable, the shelves are distinguishable, and the order of the books on each shelf matters do this 2 stages. First, there are n! ways of arranging the books. Then, for each arrangement, use the stars and dividers method in case 1 to place k−1 dividers, which there are (n+k−1k−1) ways. The answer is:

                                           n!×(n+k−1k−1)

4) the books are distinguishable, the shelves are indistinguishable, and the order of the books on each shelf matters

this is just like the relationship between case 1 and case 2, so we divide by the result from case 3 by k!. The answer is:

                                          n!×(n+k−1k−1)k!

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Answer:

5

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

The measure of side JG is approximately 115 units in the quadrilateral GHIJ.

What is quadrilateral ?

A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."

Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.

Let x be the length of side JG. Then we have:

JG/DE = HI/CF

Substituting the given values, we get:

x/57.5 = 40/20

Simplifying, we get:

x = (57.5 * 40)/20 = 115

Therefore, the measure of side JG is approximately 115 units.

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Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:1.8

Step by step explanation:

Answer:

x = 12.

Step-by-step explanation:

There are 5 numbers so the total of the numbers

= mean * 5

= 25.

Now

4 + 3 + 3 + 3 + x = 25

So

13 + x = 25

x = 25 - 13 = 12.

The value of x is 12.

To find the value of x, we can set up an equation using the given information.

The mean (average) of the numbers 4, 3, 3, 3, and x is 5.

The sum of these numbers is (4 + 3 + 3 + 3 + x).

The mean is calculated by dividing the sum by the number of values, which in this case is 5.

So, we can write the equation as:

(4 + 3 + 3 + 3 + x) / 5 = 5

To solve for x, we can start by multiplying both sides of the equation by 5 to get rid of the fraction:

4 + 3 + 3 + 3 + x = 5 * 5

Simplifying the right side:

4 + 3 + 3 + 3 + x = 25

Now, we can combine the terms on the left side:

13 + x = 25

Next, we'll isolate x by subtracting 13 from both sides:

x = 25 - 13

Simplifying:

x = 12

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Answer:

x = 18

x = 3

Step-by-step explanation:

2x² - 42x + 108 = 0

common factor is two, so take it out to simplify equation

2 (x² - 21x + 54) = 0

0/2 = 0

x² - 21x + 54 = 0

Factors of 54 which add up to 21 is 18 and 3

(x - 18)(x - 3) = 0

Hence,

x = 18

x = 3

The new function for f(x) = (x – 3) is g(x) = x/2 – 3

Given,

The function, f(x) = (x – 3)

Horizontal stretch by a factor of 2

The quadratic parent function f(x) = (x – 3) is the simplest form of a quadratic function.

If the function is multiplied by the factor b and:

|b| > 0  the function is stretched.

If 0 < |b| < 1 the function is compressed.

Then the new function will be in the form:

g(x) = (1/b)x - 3

Therefore, keeping the above on mind, if b=2, then the new function is:

g(x) = (1/2)x - 3

g(x) = x/2 - 3

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a) 100: The initial number of T-shirts sold per week.

30: The initial price of each T-shirt.

20: The increase in the number of shirts sold per week when the price is reduced by $2.

b)  the price needs to be dropped 15 times for the total revenue to be 0.

c) the price needs to be dropped 20 times to reach the maximum revenue.

d) The maximum revenue is -1200.

e) The T-shirts should be sold for a price of -$10 (which is not practical) to obtain the maximum revenue. This suggests that there may be limitations or inaccuracies in the given information or model.

f) to obtain the maximum revenue, 500 T-shirts should be sold.

a) In the given function, x represents the number of times the price is reduced by $2. Each time the price is reduced, it affects the number of shirts sold and consequently the revenue. The factors in the function represent:

100: The initial number of T-shirts sold per week.

30: The initial price of each T-shirt.

20: The increase in the number of shirts sold per week when the price is reduced by $2.

b) To find the number of times the price needs to be dropped for the total revenue to be 0, we set the revenue function equal to 0 and solve for x:

100(30 - 2x) + 20(30 - 2x) = 0

Expanding and simplifying:

3000 - 200x + 600 - 40x = 0

-240x + 3600 = 0

240x = 3600

x = 3600/240

x = 15

Therefore, the price needs to be dropped 15 times for the total revenue to be 0.

c) To determine the number of times the price needs to be dropped to reach the maximum revenue, we need to identify the value of x that maximizes the revenue function. Since the revenue function is quadratic, the maximum occurs at the vertex. The vertex can be found using the formula:

x = -b/2a

For the revenue function, a = -2 and b = 100 - 20 = 80 (the coefficient of x in the function). Substituting these values:

x = -80/(2*(-2))

x = -80/(-4)

x = 20

Therefore, the price needs to be dropped 20 times to reach the maximum revenue.

d) To find the maximum revenue, we substitute the value of x (20) into the revenue function:

Revenue = 100(30 - 2(20)) + 20(30 - 2(20))

Simplifying:

Revenue = 100(30 - 40) + 20(30 - 40)

Revenue = 100(-10) + 20(-10)

Revenue = -1000 - 200

Revenue = -1200

The maximum revenue is -1200.

e) To determine the price that will yield the maximum revenue, we substitute the value of x (20) into the expression for the price in terms of x:

Price = 30 - 2(20)

Price = 30 - 40

Price = -10

Therefore, the T-shirts should be sold for a price of -$10 (which is not practical) to obtain the maximum revenue. This suggests that there may be limitations or inaccuracies in the given information or model.

f) To find the number of T-shirts sold to obtain the maximum revenue, we substitute the value of x (20) into the expression for the number of T-shirts sold in terms of x:

Shirts Sold = 100 + 20(20)

Shirts Sold = 100 + 400

Shirts Sold = 500

Therefore, to obtain the maximum revenue, 500 T-shirts should be sold.

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Answer:

4 yds

Step-by-step explanation:

So... 16 yards is 48 feet (because one yard is 3 feet so I just multiplied by 3)

and she cuts 9 pcs of ribbon each 4 feet

so it's 9 x 4 = 36

48 - 36 = 12

And 12 feet equals 4 yards

So, Joy has 4 yards of remaining ribbon

Answer:

9.3 yards

Step-by-step explanation: the exact answer is 9.3333333

The total height of the pole from the ground to the top is 3.2 added to the height of the person

The given parameters are:

The question is an illustration of elevation

Where the height of the building is the sum of the height of the person and the height from the person's sight to the top of the building (h)

Start by calculating the value of h using the following sine function

\(\sin(\theta) = \frac{h}{L}\)

Substitute the values of L and ∅ in the above equation

sin(32) = h/6

Multiply both sides by 6

h = 6 * sin(32)

Evaluate sin(32)

h = 6 * 0.5299

Evaluate the product

h = 3.1794

Approximate

h = 3.2

Hence, the total height of the pole from the ground to the top is 3.2 added to the height of the person

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Answer:

She cut off 8.25 feet.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

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