GEOMETRY A triangle has vertices at (a,0), (b,4), and (c,0), where a

Approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

The velocity function for a sky diver falling near the Earth's surface is given by the exponential function \(v(t) = 71 - 71e^(-0.19t)\), where t represents the time after diving measured in seconds.

To find the number of seconds after diving when the sky diver's velocity is 59 meters per second, we need to solve the equation:

\(59 = 71 - 71e^{(-0.19t)}\)

Let's solve it step by step:

Subtracting 71 from both sides:

\(-12 = -71e^{(-0.19t)}\)

Dividing both sides by -71:

\(e^{(-0.19t)} = \frac{12}{71}\)

Taking the natural logarithm (ln) of both sides to eliminate the exponential:

\(ln(e^{(-0.19t)}) = ln(\frac{12}{71})\\-0.19t = ln(\frac{12}{71})\)

Now, we can solve for t by dividing both sides by -0.19:

\(t =\frac{ln(\frac{12}{71})}{-0.19}\)

Using a calculator or a software, we find:

t ≈ 9.356 seconds (rounded to three decimal places)

Therefore, approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

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Answer:

1/2 cup blue

blahnik black gg fu lrjrhjrjrek

Answer:

bshdjrjrb

Step-by-step explanation:

abcdefghijklmnop

Answer:

Step-by-step explanation:

a=54,23

b=12,1

Answer:

z+x+y=180° because the angles in a triangle add up to 180.

Answer:

slope: 2

y- intercept: 60

equation: y= 2x + 60

Answer:

y=3

2x+3 ^&^^^^^^////£¥¥

Answer:

A) 70 degrees

Step-by-step explanation:

Vertical angles are equivalent

Given that 7.1% of the labor force was recently unemployed. A random sample of 100 employable adults was selected. We are interested to approximate probabilities that the number of unemployed individuals falls into specific interval using the normal probability distribution.

From the above information, the probability of unemployed individuals is, p = 7.1% = 0.071q = 1 - p = 1 - 0.071 = 0.929n = 100The mean of the binomial distribution is given by,μ = np = 100 × 0.071 = 7.1. The variance of the binomial distribution is given by,σ² = npqσ² = 100 × 0.071 × 0.929 = 6.3259σ = √σ² = √6.3259 = 2.5161.

Now, we need to find the probability that 6 or more people from this sample are unemployed. This can be expressed asP(X ≥ 6)P(X ≥ 6) = P(Z ≥ (6 - 7.1) / 2.5161)P(X ≥ 6) = P(Z ≥ -0.4368)Using standard normal distribution table, we getP(Z ≥ -0.4368) = 0.6664. Therefore, the probability that 6 or more people from this sample are unemployed is 0.6664 (approx.).

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Answer:

k=-15

Step-by-step explanation:

3(2x-5)=6x+k

open the bracket by multiplying the contents of the bracket by +3

6x-15=6x+k

collect.like.terms(C.L.T)

6x-6x-k=+15

-k=+15 or

-k=15

switch the signs equal to sign(=)

k=-15

138 is the total weight of his inventory if he collects 27 socks.

Luigi's inventory in Prodigy weights 18/6 grams. Each sock he is gathering weighs 20/4 grams.

Let I indicate the whole weight of his stock.

Let s indicate the quantity of used socks that have been gathered.

This situation is represented by the equation I = 20 / 4 * s + 18 / 6.

when s = 27 :

= 20 / 4 s + 18 / 6 = 5 s + 3

therefore i = 5 * 27  + 3 = 138 {Substitute).

138  is the total weight of his inventory if he collects 27 socks.

The complete question is In Prodigy, Luigi's inventory weighs 18/6 grams. He is collecting old socks, each sock weighs 20/4 grams.

Let the total weight of his inventory be represented by i.

Let the number of old socks collected be represented by s.

An equation that represents this scenario is:

i = 20/4 * s + 18/6

What is the total weight of his inventory if he collects 27 socks?

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Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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The probability that the representation in base-9 and the representation in base-11 are both three-digit numbers is 0.6753 which is approximately 0.7 option E.

Given,

We require the following inputs to determine the probability that both the base-9 representation and the base-11 representation are three-digit numbers:

The base-11's lowest 3-digit number is 100.

The comparable number is 121 when expressed in base 10.

888 is the biggest 3-digit base-9 number.

The corresponding number is 728 when expressed in base 10.

As a result, there are the following possibilities:

Possibilities = 728 - 121 + 1

Possibilities = 608

The total number of 3-digit base-10 numbers is

Count = 999 - 100 + 1

Count = 900

The necessary probability is:

P = 608/900

Evaluate

P = 0.6753 ≈ 0.7

Therefore,

The probability that the representation in base-9 and the representation in base-11 are both three-digit numbers is 0.6753 which is approximately 0.7 option E.

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The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of a discrete random variable.

Discrete Random Variable: A discrete random variable is a statistical variable that takes a finite or countable number of values. For instance, the number of cars on a street, the number of people in a movie theatre, and the number of students in a class are all examples of discrete random variables. For example, the total number of students in the sample who visited campus bars on the weekend before the final exam week can take a finite set of values from 0 to 250, making it a discrete random variable.

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The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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U.S. Constitution makes sure people have enough power to act by electing delegates from all states.

The United States can be classified as a democratic country, which means citizens are the ones who make important political decisions. In the United States, this is possible by choosing representatives.

The most important points that support democracy are:

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Answer: is it A B C or D

Step-by-step explanation:

TELL ME

Answer:

The fish jumped 7 inches from the sea then fell 7 inches down.

Step-by-step explanation:

Answer:

7-7

Step-by-step explanation:

7 adding a negative number means it is subtracting because you are taking away from the 7.

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

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(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

Prime factorization of 10 x 4  is 2 x 5 x 2 x 2.

Finding the prime numbers that are multiplied together to produce the original number is the process of prime factorization. The prime factors of 16, for instance, are 2 x 2 x 2 x 2.

Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2 x 3 x 3. Here, the two main factors of 18 are 2 and 3. For instance, 72 = 2 x 3 x 3  x 2 can be written as a product of prime factors. The prime factorization of 72 is said to be the expression 2 x 3 x 3  x 2.

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1/2 (4a + 10b) = c

Remove the 1/2 by multiplying both sides by 2:

4a + 10b = 2c

Subtract 4a from both sides:

10b = 2c -4a

Divide both sides by 10:

b = (2c-4a)/10

SImplify by the fraction:

b = (c - 2a)/5

Answer:

81 pencils

Step-by-step explanation:

1. Set up variables

Pencils = p

notebooks= n

2. Set up a system of equations

p+n= 135                             (The amount of supplies bought)

1.75n +0.35p = 122.85       (Equation for the cost)

3. Solve the system of equations (I'll use substitution)

    a)p= 135-n  (I just rearranged it)

    1.75n + 0.35p= 122.85

     b) Substitute the first equation into the second)

    1.75n + 0.35(135-n) = 122.85

     c) Solve!

    1.75n + 47.25 - 0.35n = 122.85

    1.4n = 75.6

     n= 54

Serena bought 54 notebooks!

4. Substitute the number of notebooks into the first equation

p +n = 135

p + 54= 135

p = 81

Serena bought 81 pencils!!!

I hope this helps!!!!

Answer:

Serena purchased 81 pencils

Step-by-step explanation:

Let x = the number of pencils Serena bought

Let 135 - x = the number of notebooks Serena bought

1.75(135 - x) + .35x = 122.85       Multiply both sides of this equation by 100.

175(135 - x) + 35x = 12,285

23,625 - 175x  + 35x = 12,285

-140x = -11,340

x = 81 pencils

The slope of the line passing through the points A(1,0) and B(3,11) is 5.5 as a decimal.

The slope of a line is a measure of how steep the line is and describes the rate at which the line is rising or falling.

It is defined as the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.

The formula for slope is:

slope = (changes in y)/(change in x).

It is typically denoted by the letter "m".

The slope of the line passing through points A(1,0) and B(3,11) is:

Rise / Run = (Y-Coordinate Change) / (X-Coordinate Change).

= (11-0) / (3-1)

= 11/2

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Answer:

146 feet is the correct option

Answer: 146

Step-by-step explanation:

just filling in so you can give other brainliest

Difference of (-x² + 9xy) and  (x² + 6xy - 8y²) is - 2x² + 3xy + 8y².

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Given expression,

(-x² + 9xy) - (x² + 6xy - 8y²)

Distributing negative sign

-x² + 9xy - x² - 6xy + 8y²

Adding like terms

- 2x² + 3xy + 8y²

Hence, - 2x² + 3xy + 8y² is the difference of (-x² + 9xy) and (x² + 6xy - 8y²).

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Answer:

120960 seconds

Step-by-step explanation:

Answer:

k > 13 OR K < 4

Step-by-step explanation:

-1 plus 14 is 13

19 minus 15 is 4

A perfect square is a number obtaining by squaring a whole number

A perfect square can be defined as a number that is being expressed as the product of an integer by itself.

It is also seen as the second exponent of an integer.

In determining the perfect of a number, when you multiply an integer which could be a “whole” number, positive, zero or negative) by itself, the product of the multiplication is termed a square number, or a perfect square.

Perfect square is also described as a number made by squaring a whole number.

Some perfect squares in mathematics are;

Number 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 139, 144, etc

Hence, a perfect square is described as a number that is the product of an integer with itself.

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Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

no. of students in each group=164/18=9.111111...=10 (nearest 10)

Answer:

8

Step-by-step explanation:

When rounding to the nearest 10:

Therefore:

164 rounded to the nearest 10 = 160

18 rounded to the nearest 10 = 20

To approximate the number of students in each year group, divide the rounded number of students by the rounded number of groups:

⇒ 160 ÷ 20 = 8

Answer:

24p = 792

p = 33

The answer is 33 pages

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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Step-by-step explanation:

Y varies directly as cube root of x is written as

y = k³√x

where k is the constant of proportionality

when y = 3

x = 27

We have

\(3 = k \sqrt[3]{27} \)

But ³√27 = 3

That's

3 = 3k

Divide both sides by 3

k = 1

The value of the relationship is

When x = 8

We have

Hope this helps you