4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

Step-by-step explanation:

circumference of a circle

2×pi×r

area of a circle

pi×r²

r (radius) = diameter/2 = 1.5ft

we shall assume pi to be 3.14

circumference is

2×3.14×1.5 = 3.14×3 = 9.42 ft

area is

3.14 × 1.5² = 3.14×2.25 = 7.065 ft²

Answer:

exercising is good

Step-by-step explanation:

exercising releases hormones in your body that can make you happier, it also keeps your mind in tip top shape. Also even just being outside of a building would also release hormones in your brain that causes you to lighten your mood!

Answer: Exercise can help with mental health because when your angry sometimes working out can help get rid of anger and if your sad it can help get more motivated and positive about some stuff. It also helps with discipline and respect which can help with your social skills by talking respectfully to others.

They will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

Total distance from Emilio and Lynda live = 10 miles

Time taken to walk the distance = \(2\frac{1}{4}\) hours

Convert the mixed fraction to simple fraction

\(2\frac{1}{4}\) hours = 2.25 hours

Speed = Distance / Time

Speed while walking = 10 / 2.25

= 4.44 miles per hour

Time taken to drive = 15 minutes = 15/60

= 0.25 hours

Speed = 10 / 0.25

= 40 miles per hours

Relative speed = 40 + 4.44

= 44.44 miles per hour

The time taken = 10 / 44.44

= 0.22 hours

= 13.2 minutes

The distance that Emilio walked = Speed × Time

= 4.44 × 0.22

= 0.98 miles

Hence, they will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

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Answer:

x = 19

Step-by-step explanation:

Vertical opposite angles are formed when two straight line intersects each other. Therefore, the angles are vertical angles.

To find the value of x, set both angles equal to each other, since vertical angles are congruent.

Thus:

5x + 44 = 8x - 13

5x + 44 - 8x = 8x - 13 - 8x (subtraction property of equality)

-3x + 44 = - 13 (simplification)

-3x + 44 - 44 = - 13 - 44 (subtraction property of equality)

-3x = 57 (simplication)

-3x/-3 = 57/-3 (division property of equality)

x = 19

Answer:

B. 0.05

Step-by-step explanation:

5÷100

0.05

so it is B

plz mark as brainliest

Answer:

B

Step-by-step explanation:

Answer:

The question is not explained well, Please explain it better or take a screenshot or something

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Eight hundred two thousand and forty-nine

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

Decaying exponential function:

A decaying exponential function has the following format:

\(A(x) = A(0)(1-r)^{x}\)

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Vertex of f:

The function f is given by:

\(3(x+5)^2 - 10\)

Expanding the calculations to place at the correct format:

\(3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65\)

Which means that

\(a = 3, b = 30, c = 65\)

The x-value of the vertex is:

\(x_{v} = -\frac{30}{2*3} = -5\)

The y-value of the vertex is:

\(f(-5) = 3(-5+5)^2 - 10 = -10\)

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Answer:

10.3

Step-by-step explanation:

Using the substitution method equation form is x is 3 and y is1

Form of Point: (3 , 1 )

Equation Form: x = 3 and y =1

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Answer:

The volume is 160 inches

Step-by-step explanation:

If u search in googl volume of pyramid and add in the lengths it will give u the answer!

the formula is lwh/3

The first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Now,

Find the first five ordered pairs for the sequence as;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Substitute n = 1;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(1) = 2 + 4 (1 - 1)

⇒ a(1) = 2

Substitute n = 2;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(2) = 2 + 4 (2 - 1)

⇒ a(2) = 2 + 4

⇒ a(2) = 6

Substitute n = 3;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(3) = 2 + 4 (3 - 1)

⇒ a(3) = 2 + 4 × 2

⇒ a(3) = 2 + 6

⇒ a (3) = 8

Substitute n = 4;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(4) = 2 + 4 (4 - 1)

⇒ a(4) = 2 + 4 × 3

⇒ a(4) = 2 + 12

⇒ a(4) = 14

Substitute n = 5;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(5) = 2 + 4 (5 - 1)

⇒ a(5) = 2 + 4 × 4

⇒ a(5) = 2 + 16

⇒ a(5) = 18

Thus, All the first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

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It is linear. Not non-linear. The line goes straight, even if it has a y axis, it does not curve and the change in y is constant and same each time.

Answer:

Step-by-step explanation:

2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4

If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.

It is obtained from the table that the length of trails A, B, and  C will be 2.6, 1.8, and 4.2 miles.

It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.

= 2.6 + 1.8, + 4.2 miles.

= 8.6 miles

The length of trail D is,

= 12 miles - 8.6 miles

= 3.4 miles.

Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

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Answer:

if you roll a five the probability is 1/6 (16.667%) and 1 is also

1/6 (16.667%)

Answer:

False,

Step-by-step explanation:

There is not enough information given.

The given statement - "All the races are 175 miles long" is true.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find whether all races are more than 175 miles or not.

All the races are 175 miles long. The given statement is true.

Therefore, the given statement - "All the races are 175 miles long" is true.

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$8,125 is the compound interest.

What is compound interest?

P = $6500

R = 25%

T = 1

compound Interest A = P( 1 + r/100)ⁿ

                                   = 6500( 1 + 25/100)¹

                                   = 6500( 5/4)

                                   = 6500 * 5/4

                                   = $8,125

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As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So,  if a commutes with d, then it must be block diagonal.

Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,

d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),

where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.

Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.

Then, for any \(i \in {1, 2, \dots, k}\), we have

\(ad_{ii} = da_{ii}\)

Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and

hence

\(ad_{ij} = da_{ij} = 0\)

for all \(i \neq j\).

Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have

\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)

Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.

Therefore, if a commutes with d, then it must be block diagonal.

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\(cos(\frac{2\\pi }{35} )\\\)≈0.98392958...

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

\(P(B) = \frac{5}{365} = 0.0137\)

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that \(P(A|B) = 0.9\)

Probability of forecast of rain:

90% of 0.0137(forecast and rains)

10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

\(P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096\)

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

\(P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111\)

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Answer:

you better give me brainliest

Step-by-step explanation:

The answer is the first two

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.

  m∠BAC = 90°

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

Answer:

1/5x

Step-by-step explanation:

1/5x

GIVEN:

We are given the following system of equations;

Required;

To determine whether or not the equations has a solution or no solution.

Step-by-step solution;

We can solve this system of equations by the elimination method. This is because none of the variables has 1 as its coefficient.

First step, we multiply equation (1) by -6 and then multiply equation (2) by 3 (that is, the coefficients of x in both equations).

Next step, we subtract equation (4) from equatio (3);

As we have seen from the calculations above, the result shows 0 equals 90 on both sides of the equality sign and that is NOT possible.

Therefore, for the given system of equations, there is NO SOLUTION

ANSWER:

Option B, that is 0 solutions is the correct answer.

Further Explanation;

For the graphs shown above, the color codes are as follows;

This simply tells us that for both equations, there is no point at which they can intersect and therefore,

For the first equation, -x + 3y + 2z = -8, the conditions for no solution are if a=0, b=-8, and c is not equal to 8. If a=0, b=-8, and c=8, then there will be one solution. If a does not equal 0, then there will be infinitely many solutions.

For the second equation, x + ay = 0, the conditions for no solution are if a=0, b=0, and c does not equal 0. If a=0, b=0, and c=0, then there will be one solution. If a does not equal 0, then there will be infinitely many solutions.

In both equations, the conditions for no solution involve setting the coefficients of the variables in the system to 0. If the coefficients of any of the variables in the system are set to 0, then the system will not have a solution. If two of the coefficients are set to 0, then the system will have one solution. Otherwise, there will be infinitely many solutions. This is because if all the coefficients of the variables in the system are not 0, then the system can be reduced to a simpler form, with infinitely many solutions.

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Answer:

y = 1/2 x + 9

Step-by-step explanation:

y = 1/2 x + b

4 = (1/2)(-10) + b

4 = -5 + b

b = 9

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question: