A hot air balloon is descending at a rate of 287 feet per minute.
Find the total change in elevation of the balloon in 4 minutes.

Answer:

17cm

Step-by-step explanation:

The two equal sides are 14cm long so 45 - 14 - 14 = 17

Answer:

Step-by-step explanation:

A and B can have values that would give a sum of 11 when they are added together, such as (2,9), (3,8), (4,7), and (5,6).

Here, it is evident that since

AB+ BA= CDC

the hundreds and ones digit of the answer are equal and since we are talking about 2 digit numbers, hundreds place C can only be 1 since it is obtained from carry of the tens place (B+A) and the maximum carry that a 2 digit number can give is 1 (99+99 gives carry 1).

Also, D must be equal to C+1 since it is obtained by B+A and carry of ones place.

C=A+B= 1

D=C+1= 2

The possible values of A and B can be the ones that result in 11 when added, i.e. (2,9),(3,8),(4,7) and (5,6).

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Complete question is attached below

A line graph is used when an independent variable is a continuous quantitative variable. A line graph is a type of chart used to represent data over time with the help of lines connecting various data points.

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Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in \(x\) seconds and kitten eats a sausage in \(y\) seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

\(\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}\)

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

\(\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}\)

Put this value of \(x\) in the  the equation one to get the value of y. Therefore,

\(\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}\)

\(-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}\)

\(-\dfrac{1}{2y}=-\dfrac{1}{30}\)

\(y=15\)

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

\(\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}\)

\(\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}\)

\(\dfrac{1}{x} =\dfrac{9}{90}\)

\(x=10\)

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

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The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

σ_sample = σ / sqrt(n)

σ_sample = 2.5 / sqrt(55)

σ_sample ≈ 0.336

Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:

Z = (X - μ) / σ_sample

Z_17 = (17 - 17.2) / 0.336 ≈ -0.595

Z_18 = (18 - 17.2) / 0.336 ≈ 2.381

Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.

P(Z < -0.595) = 0.2760

P(Z < 2.381) = 0.9915

To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:

P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)

P(17 < X < 18) = 0.9915 - 0.2760

P(17 < X < 18) ≈ 0.7155

So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

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Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

The probability of choosing a white marble from the box can be determined by dividing the number of white marbles by the total number of marbles.

In this case, the box contains 7 green marbles and 6 white marbles, so the total number of marbles is 13.

To find the probability, we divide the number of white marbles (6) by the total number of marbles (13):

Probability of choosing a white marble = 6 / 13

To express this as a decimal number, we divide 6 by 13:

Probability of choosing a white marble ≈ 0.4615 (rounded to 4 decimal places)

The probability of choosing a white marble from the box is approximately 0.4615.

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Answer:

1/2x^2

Step-by-step explanation:

f(x)=x^2 so g(x)=1/2x^2

if g(x)=x(x) then the answer is 1/2x^2

use desmos to help u select the correct graph

Answer:

dil krai chu chai chu chai chuu

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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A direct variation equation is option D: y = (7/2)x.

A direct variation equation has the form y = kx, where k is the constant of variation.

To determine which relation is a direct variation that contains the ordered pair (2, 7), we can substitute the given x and y values into each option and see which one holds true.

Option A: y = 4x - 1

Substituting x = 2, y = 7:

7 = 4(2) - 1

7 = 8 - 1

7 = 7

Option B: y = (7/x)

Substituting x = 2, y = 7:

7 = 7/2

Option C: y = (2/7)x

Substituting x = 2, y = 7:

7 = (2/7)(2)

7 = 4/7

Option D: y = (7/2)x

Substituting x = 2, y = 7:

7 = (7/2)(2)

7 = 7

From the above substitutions, we can see that option D: y = (7/2)x is the only equation that satisfies the ordered pair (2, 7).

Therefore, the correct answer is option D: y = (7/2)x.

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The lower bound for a 95% confidence interval for the average length of the entire population of fish is 65.492.

Let the sample mean be ( x ) = 66.7

Standard deviation for the given sample be = s = 8.5

random sample of 190 fish is collected from the ocean so ( n )= 190

Confidence level be 95% so the Z-score be 1.959 ≈ 1.96.

By using the formula ,

x ± \(Z \frac{s}{\sqrt{n} }\)

= 66.7 ± 1.96 (8.5/√190)

= 66.7 ± 1.208

where 1.208 indicates margin error (E).

So upper bound be 66.7 + 1.208 = 67.908

and lower bound be 66.7 - 1.208 = 65.492.

95% of samples contain the population mean (μ) within the confidence interval x ± E.

"A confidence interval is the range of values, obtained from sample statistics, that is likely to include the value of an unknown population parameter," according to the definition.

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Answer:

A, y=62x or f(x)=62x B, Graph C

Step-by-step explanation:

This is because a the car is traveling at 186/3. Think of this at m/ph where m is the miles and ph is the hours divide them and we get the speed at which they travel an hour.

Answer:

B. The rate of change is 2.

C. The rate of change is constant.

D. The rate of change is increasing.

Step-by-step explanation:

Rate of change over 1.5 ≤ x ≤ 3:

\( rate of change = \frac{f(b) - f(a)}{b - a} \)

Where,

a = 1.5, f(a) = 1,

b = 3, f(b) = 4

Plug in the values:

\( rate of change = \frac{4 - 1}{3 - 1.5} = \frac{3}{1.5} = 2 \)

✔️The rate of change = 2

✔️The rate of change is increasing because the value is a positive value.

✔️The rate of change is also constant over 1.5 ≤ x ≤ 3 since the line is straight.

The points on the interval of the absolute value function in the graph are on the same straight line.

The statements that describe the rate of change over the interval; 1.5 ≤ x ≤ 3 are;

Reasons:

The given parameter of the graph of the f are;

The vertex of the function = (1, 0)

The straight line of the function f passes through the points (1.5, 1) and (3, 4)

Therefore;

\(\displaystyle The \ slope \ of \ the \ graph \ between \ (1.5, \, 1) \ and \ (3, \, 4) = \mathbf{\frac{4 - 1}{3 - 1.5} }= \frac{3}{1.5} =2\)

The slope of the graph = The rate of change of the graph

Therefore;

The rate of change of the graph over the interval 1.5 ≤ x ≤ 3 is 2

Given that the graph is a straight line graph, we have;

The slope of the graph is constant, therefore;

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Answer:

8 sundaes

4:32

.......

.......

...

Step-by-step explanation:

To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.

Answer:

20%

Step-by-step explanation:

Divide 4 (tip) by 20 (total bill) and you get 20 percent.

Answer:

20% tip

Step-by-step explanation:

4/20 = 0.2

Convert to a percentage:

0.2*100 = 20%

We would expect that 4 of the next 9 children to enroll will be elementary school students.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If 8 out of the last 18 children to enroll at the daycare center were elementary school students,

We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:

= 8/18

= 4/9

This means that 4 out of every 9 children enrolled were elementary school students.

If we want to predict how many of the next 9 children to enroll will be elementary school students,

We can use this ratio:

4/9 of 9 children

= (4/9) x 9

= 4

Therefore,

We would expect that 4 of the next 9 children to enroll will be elementary school students.

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Answer:

The answer is 5

Step-by-step explanation:

I took the test :)

Answer 5

Step-by-step explanation:

Answer:

Exact answer: Square root of 80

Approximate answer: 8.94

Step-by-step explanation:

Answer:

1156

Hope this helps!:)

The sample size should be selected as 100 in order to be 99% confident that the sample mean differs from the population mean by ±0.5 km (or within a range of 0.5 km).

To determine the sample size needed to estimate the distance students travel to school with a 99% confidence level and a margin of error of ±0.5 km, we can use the formula for sample size calculation:

n = (Z * σ / E)^2

where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence level, which corresponds to Z = 2.576)

σ = population standard deviation

E = margin of error

Plugging in the given values:

n = (2.576 * 2.25 / 0.5)^2

Calculating this equation gives us the required sample size:

n ≈ 99.98

Since we cannot have a fractional sample size, we round up to the nearest whole number.

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To find the 17th term of a geometric sequence, we need to determine the common ratio (r) first. We can do this by dividing the 5th term (a5) by the 1st term (a1):

r = a5 / a1 = 150 / 16 = 9.375

Now that we have the common ratio, we can use it to find the 17th term (a17). The formula to find the nth term of a geometric sequence is:

an = a1 * r^(n-1)

Plugging in the values, we have:

a17 = 16 * 9.375^(17-1)

Using a calculator, we can evaluate this expression to the nearest hundredth:

a17 ≈ 216,654.5

Therefore, the correct option is:

a17 ≈ 216,654.5

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If a fair coin is tossed 5 times. When 2 heads in a row are tossed, the total number of possible sequences is 16.

To determine the number of possible distinct sequences where 2 heads in a row are tossed if a fair coin is tossed 5 times, we need to use the permutation and combination concept. Permutation is defined as the number of ways an object can be arranged in a particular order while combination refers to the number of ways an object can be combined.

Therefore, the possible distinct sequence where 2 heads in a row are tossed can be found using permutation by taking the product of the number of ways 2 heads can be arranged in a row, and the remaining tails and heads can be arranged in the remaining three tosses.

We can illustrate this as follows: The possible ways of tossing 2 heads in a row: H H and the other three tosses can be arranged in 2³ or 8 ways such that the number of tails is the same as the number of heads (equal probability). Therefore, the total number of possible sequences is 2 x 8 = 16 possible sequences where two heads in a row are tossed if a fair coin is tossed 5 times.

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Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

Hey there!

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

Hope this helps :)

For example:

-3.5

-3.0040012

-3.(91)

-3.70(77)

-15/4

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

Answer:

66?lol

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

hope this helped i had this same question and i answered it

The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.

We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is

\(D(h)=25 {e}^{ - 0.4 h}\)

We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.

\(6 = 25 {e}^{ - 0.4h} \)

\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)

\(0.24= {e}^{ - 0.4h} \)

Taking logarithm both sides of above equation , we get,

\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)

Using the properties of natural logarithm,

\( \ln(0.24) = - 0.4h\)

\( - 1.427116356 = - 0.4h\)

\(h = \frac{1.42711635}{0.4} = 3.56779089\)

=> h = 3. 6

So, after 3.6 hours, the patient needs to be injected again.

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Answer:

There are no choices, but \(\frac{10}{10.75}\) can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.

Hope it helps <3

Answer:

40/43

Step-by-step explanation:

  The fraction

       10

-----------------

   10 3/4

can be simplified by converting 10 3/4 to the improper fraction 43/4:

       10                    10            40

-----------------  =  _______ = ----------

   10 3/4               43/4            43

Next time, please share any answer choices that are given to you.  Thank you.