The distance from your home to the school is 4 9/10 miles. From your house to the pool is 3 1/2 miles. How much farther are you from the school than from the pool?

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

  D)  Hungary

Step-by-step explanation:

You are being asked to compare 4 pairs of numbers. The population will have decreased if the number in the 2005 column is less than the number in the 1985 column.

Whenever you compare numbers, you start with the most-significant digit. If the most-significant digit has a higher place value, the number is larger. If the digits have the same place value, the number with the larger digit is larger. If no determination can be made by these comparisons, then the digits to the immediate right are compared.

  27,... > 19,...  2 > 1 in the 10-millions place

  10,... > 9,...  1 has a greater place value

  29... > 24...  comparison shifts to the 10-thousands place: 9 > 4

  10,058,... < 10,649,... . . . . the population decreased (0 < 6)

The "population decreased" result is found on the last line of the table, identified by the Country name "Hungary."

Hungary's population decreased from 1985 to 2005.

Answer: (9,-5)

Step-by-step explanation:

(5+4,-3-2)=  (9,-5)

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

9514 1404 393

Answer:

  d = 3√10 ≈ 9.487

Step-by-step explanation:

The distance formula is appropriate.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-3 -0)^2 +(2 -(-7))^2) = √(9 +81) = √90

  d = 3√10

Answer:

The answer is -0.71666666666 in decimal form.

In fraction form it is -43/60.

Step-by-step explanation:

(100, 600)

1/6 or 100/600 is the slope. You can find the Y intercept where X = 0, so the Y intercept would be 0. The equation would be Y = 1/6 + 0

We have:

Image of book on website

Wide = 1.5 inches

Tall = 3 inches

Actual book

Wide = 9 inches

Tall = ?

a) Scale used for the image:

Answer: scale = 6 inches

b) Tall actual book

Answer: tall = 18 inches

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Answer:

A' (3,-1)

B' (-2,-5)

C' (5, -2)

Step-by-step explanation:

Notice how the x values stay the same and the y values become the opposite of the original points.

To determine whether the geometric series ∑(n=0 to ∞) (√(1/7))^n is convergent or divergent, we can examine the common ratio (r) of the series.

The given series has a common ratio of (√(1/7)). For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1.

In this case, |√(1/7)| = √(1/7) ≈ 0.377, which is less than 1. Therefore, the geometric series is convergent.

To find the sum of the geometric series, we can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r),

where 'a' is the first term and 'r' is the common ratio.

In this case, the first term 'a' is (√(1/7))^0 = 1, and the common ratio 'r' is √(1/7).

Substituting these values into the formula, we have:

Sum = 1 / (1 - √(1/7)).

To simplify this expression, we can rationalize the denominator:

Sum = 1 / (1 - √(1/7)) * (1 + √(1/7)) / (1 + √(1/7)).

Multiplying the numerators and the denominators, we get:

Sum = (1 + √(1/7)) / (1 - (1/7)).

Simplifying further:

Sum = (1 + √(1/7)) / (6/7).

Finally, multiplying the numerator by 7, we obtain the sum of the geometric series:

Sum = 7(1 + √(1/7)) / 6.

Therefore, the sum of the given geometric series is 7(1 + √(1/7)) / 6.

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2/3  is the probability that the product of the two spinners' numbers is even.

How does probability explain work?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                       Statistics is the study of events that follow a probability distribution. There are four primary categories of probability: axiomatic, classical, empirical, and subjective.

An even number comes from multiplying an even and even, even and odd, or odd and even. Since an odd number only comes from multiplying an odd and odd, there are less cases and it would be easier to find the probability of spinning two odd numbers from 1.

            =  1 - 2/4 . 2/3

             =  1 - 1/3

            =  2/3

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Answer:

is multiplied by itself.

Step-by-step explanation:

2 to the second power is four, and so is 2 times 2.

7 to the second power is 49, and so is 7 times 7.

They are the same thing.

Hope this helps!

The margin of error is approximately 0.014 grams, rounded to three decimal places.

To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the following formula:

CI = x ± z × (σ/√n)

Where:
x = mean result = 10.230 grams
σ = standard deviation of scale readings = 0.020 gram
n = number of repeated measurements = 40
z = z-score for 98% confidence interval = 2.326

Plugging in the values, we get:

CI = 10.230 ± 2.326×(0.020/√40)
CI = 10.230 ± 0.014
CI = (10.216, 10.244)

Therefore, the 98% confidence interval for the mean of repeated measurements of the weight is (10.216, 10.244) grams.

The margin of error is the difference between the upper and lower bounds of the confidence interval divided by 2, so:

Margin of error = (10.244 - 10.216)/2
Margin of error = 0.014

Thus, the margin of error is 0.014 grams.

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The number οf triangles that can be fοrmed is C(5,3)C(10,3) = 10120 = 1200.

In mathematics, cοmbinatiοns refer tο the number οf ways yοu can chοοse a specific number οf items frοm a larger set οf items, where the οrder in which yοu chοοse the items dοes nοt matter.

1. a) 9!/7! = 9*8 = 72

b) The questiοn seems tο be incοmplete. Please prοvide additiοnal infοrmatiοn.

c) P stands fοr permutatiοn, which is the number οf ways tο arrange οbjects in a specific οrder. A Stands fοr cοmbinatiοn, which is the number οf ways tο select οbjects withοut regard tο their οrder.

2. a) There are 6 ways tο chοοse οne apple frοm the basket.

b) There are 6 ways tο chοοse οne apple and 9 ways tο chοοse οne pear, sο there are 6*9 = 54 ways tο chοοse οne apple and οne pear.

c) There are 15 ways tο chοοse either οne apple οr οne pear (6 apples + 9 pears - 0 cοmmοn fruits).

d) There are 698 = 432 ways tο chοοse οne fruit οf οne variety and twο fruits οf anοther variety.

3. a) There are 6 subjects tο be studied and exactly οne lessοn is planned fοr each subject. Therefοre, there are 6! = 720 ways tο make a list οf lessοns fοr this day.

b) There are 6 chοices fοr the first digit, 5 chοices fοr the secοnd digit, 4 chοices fοr the third digit, and 3 chοices fοr the fοurth digit. Therefοre, there are 654*3 = 360 different fοur-digit numbers that can be fοrmed frοm the given digits.

c) There are 8 peοple and we need tο chοοse a cοmmittee οf 4 peοple. Therefοre, there are C(8,4) = 70 ways tο chοοse a cοmmittee οf fοur peοple.

3. Let n be the number οf members in the aerοbics grοup. Each member can shake hands with n-1 οther members. Since each handshake invοlves twο peοple, the tοtal number οf handshakes is n(n-1)/2. We are given that this tοtal is 66, sο we can sοlve fοr n as fοllοws:

\($ \frac{n(n-1)}{2} = 66\)

\(n(n-1) = 132\)

\(n^2 - n - 132 = 0\)

\((n-12)(n+11) = 0\)

Since n must be positive, the only possible value is n=12. Therefore, there are 12 members in the aerobics group.

4. There are 5 points on line a and 10 points on line b. Any three points on different lines can form a triangle, as long as they are not collinear.

Therefore, the number of triangles that can be formed is C(5,3)C(10,3) = 10120 = 1200.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The probability that the flight will not be delayed is 0.79.

If the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be:

Understand that the total probability of an event is always 1. In this case, there are only two possible outcomes: the flight is delayed, or it is not delayed.
Subtract the probability of the flight being delayed (0.21) from the total probability (1).

1 - 0.21 = 0.79

The probability that the flight will not be delayed is 0.79.

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The given equation is 10x - 12 + 6 = 2(x + 5). We will solve the given equation to find the value of x. We will use the following steps:Step 1: Combine the constants on the left-hand side (LHS) of the equation.

10x - 12 + 6 = 2(x + 5)10x - 6 = 2(x + 5)Step 2: Distribute the coefficient of x on the right-hand side (RHS).10x - 6 = 2x + 10Step 3: Subtract 2x from both sides of the equation.10x - 2x - 6 = 10Step 4: Simplify the left-hand side (LHS).8x - 6 = 10Step 5: Add 6 to both sides of the equation.8x - 6 + 6 = 10 + 6Step 6: Simplify both sides of the equation.8x = 16Step 7: Divide both sides of the equation by 8.8x/8 = 16/8x = 2Hence, the value of x is 2.

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Jem dug 5.7 meters for the well, including an extra 1.2 meters until water flowed. The water depth is 2.3 meters, leaving the same 5.7 meters unfilled.



Jem initially dug 4.5 meters deep into the soil for the well. Then, he dug an additional 120 cm (or 1.2 meters) deeper until water started flowing. Therefore, the total depth that Jem dug initially was 4.5 meters + 1.2 meters = 5.7 meters.

After 2 days, the water in the well was 230 cm (or 2.3 meters) deep. To determine the part of the well that was not filled with water, we subtract the water depth from the total depth of the well.

Total depth of the well = Depth dug + Water depth

Total depth of the well = 5.7 meters + 2.3 meters

Total depth of the well = 8 meters

Part of the well not filled with water = Total depth of the well - Water depth

Part of the well not filled with water = 8 meters - 2.3 meters

Part of the well not filled with water = 5.7 meters

Therefore, Jem dug a total depth of 5.7 meters and there is 5.7 meters of the well that is not filled with water.

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Answer:

b

Step-by-step explanation:

i did the test and I got the answer right here after being corrected so yah.

Answer:

All real numbers

Step-by-step explanation:

Answer:

The answer is B (4,10).

Step-by-step explanation:

The angular speed of the fan  138π radians/minute or 433.54  radians/minute.

The linear speed of the tip of a blade is 8237.26 inches/minute

a) The angular speed of a fan is the number of revolutions per minute (RPM) multiplied by 2π radians per revolution.

So the angular speed of the fan in radians per minute is:

69 RPM × 2π radians/revolution = 138π radians/minute

b) The linear speed of the tip of a blade is found by multiplying the angular speed in radians per minute by the radius of the fan.

So the linear speed of the tip of a blade in inches per minute is:

138π radians/minute × 19 inches = 8237.26 inches/minute

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Answer:

The difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Step-by-step explanation:

We know that the area of a triangle A = 1/2bh where b = base and h = height.

Let A be the area of triangle 1 with base (3x + 7) and height (5x - 1).

So its area A = (3x + 7)(5x - 1)/2.

Now for the second triangle, the base is tripled, so its base is 3(3x + 7) and its height is doubled, so its height is 2(5x - 1)

So its area is A' = 3(3x + 7) × 2(5x - 1)/2 = 3(3x + 7)(5x - 1)

So the difference between the area of the original triangle and the new triangle is

A' - A = 3(3x + 7)(5x - 1) - (3x + 7)(5x - 1)/2

= (3x + 7)(5x - 1)(3 - 1/2)

= 5(3x + 7)(5x - 1)/2

So the difference between the area of the original triangle and the area of the new triangle is 5(3x + 7)(5x - 1)/2

Answer:

great how much to get your car washed

Step-by-step explanation:

Answer:

Step-by-step explanation:

for money

Answer:

\(- \frac{3}{5}\)

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

m = slope = \(-\frac{3}{5}\)

x = (x , y)

b = y-intercept = \(- \frac{7}{9}\)

With this given information, your slope will be \(-\frac{3}{5}\)

Answer:

-3/5

Step-by-step explanation:

The answer is -3/5 I think

Answer:

300+30+6= 336