Please someone help me!

If the red lines are medians, and segment AE=33 would be the length of the segment AO?

The time it will take the roller coaster to reach the ground is 171.65 seconds

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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The number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

An average refers to a central value obtained after adding together several amounts and then dividing this total by the number of variables added.

An average is a central value in a dataset.

Average sales per month = 80 units

Number of months involved = 5 months

Total for five months based on the average = 400 units

Total units sold in four months = 328 (95 + 47 + 114 + 72)

Sales units required to meet the average target = 72 (400 - 328)

Thus, the number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

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The walkway should be about 2.57feet.

What is the total surface area?

The total surface area of the building is the  sum of the total faces of an object contains.

The formula is expressed as:

 TSA = 2(lw + wh + lh)

where,

l is the length ,w is the width , h is the height

Calculation

Given the following parameters

TSA = 168 square feet

length = 8 feet and  Height = 6 feet

Required

Width of the walkway, Substitute the given values in the formula

168 = 2(lw + wh + lh)

84 = (8(6) + 6w + 8w)

84 = 48 + 14w

4w = 84 - 48

14w = 36

w = 2.57feet

The walkway should be about 2.57feet.

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Answer:

She does not get bonus points and she ends up at level 5.

Equation: 4 - 6 + 8 -1 = 5

Equation using only addition: 4 + -6 + 8 + -1 = 5

I hope this helps!

The rate if he went three years without an accident based on the information about the insurance is $552.15.

From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.

The amount will be:

= 613.50 - (20.45 × 3)

= 552.15

In conclusion, the rate is $552.15.

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The standard deviation is 1.43 below the mean

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

[tex]x = \bar x - n\sigma[/tex]

So, we have:

[tex]97.2 = 98.249 - n * 0.7333[/tex]

Evaluate the like terms

[tex]-1.049 =- n * 0.7333[/tex]

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

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The required result based on given continuous functions is: 207. See the explanation for same below.

A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

Since G and F are continuous functions,

[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 19

[tex]\int_{12}^{28}) \, f(x) dx[/tex] = 35

Therefore,

[tex]\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx[/tex]

= K [tex]\int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx[/tex]

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

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Answer:

top left graph

Step-by-step explanation:

The function is not defined for negative x.

Also, the range should not include positive numbers.

So, the answer is the top left graph.

Answer:

The small piece is 6 yards and the large piece is 8 yards.

Step-by-step explanation:

Let x  = small

Let y = large

x + y = 14       3y = 4x

3y = 4x  Divide both sides of the equation by 3 to solve for y

y = [tex]\frac{4}{3}[/tex] x  Plug [tex]\frac{4}{3}[/tex] x in for y in the first equation above.

x + y = 14

x + [tex]\frac{4}{3}[/tex] x = 14  x and 1 x mean the same thing.  Another name for 1 is [tex]\frac{3}{3}[/tex]

[tex]\frac{3}{3}[/tex]x + [tex]\frac{4}{3}[/tex]x = 14

[tex]\frac{7}{3}[/tex]x = 14  Multiple both sides by [tex]\frac{3}{7}[/tex] to solve for x

([tex]\frac{3}{7}[/tex])([tex]\frac{7}{3}[/tex]x) = 14([tex]\frac{3}{7}[/tex]) you can write 14 as [tex]\frac{14}{1}[/tex]([tex]\frac{3}{7}[/tex]) = [tex]\frac{42}{7}[/tex]= 6

x = 6

If x = 6, then y must be 8 because 6 + 8 = 14

Using the t-distribution, the critical value needed is: t = 2.2622.

The critical value is found using a calculator, with two parameters:

For this problem, we have a confidence level of 95% and 10 - 1 = 9 df, hence the critical value is t = 2.2622.

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The number of mice that didn't get a tumor is 9 mice out of the 25 mice.

Identify the total mice who did not have any effects or the effects did not include a tumor.

Repiratory failure: 9 mice

Based on this, it can be concluded 9 mice did not have a tumor, while 21 mice hat at least a tumor and some of them had a tumor and respiratory failure.

Note: This question is incomplete; here is the missing section:

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The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

An equation is an expression that shows the relationship between two or more variables and numbers.

A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.

The geometric sequence 81, 27, 9, 3, … has common ratio:

r = 27/81 = 1/3

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

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The inverse statement is:

¬q ⇒ ¬p

Which is true.

Here we have the biconditional statement:

A number is negative if and only if it is less than zero.

Where:

So we can write the statement as:

p ⇔ q

The inverse statement is:

if not q, then not p.

or

¬q ⇒ ¬p

Replacing p and q, we have:

"if a number is not less than zero, then the number is not negative".

This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.

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Answer:

D.

∼p↔∼q

and

G.

The inverse of the statement is true.

Step-by-step explanation:

Answer:

Jiri is 25 years old.

Step-by-step explanation:

1)Pamela =Jiri-9 ( Pamela is 9 years younger than Jiri)

2)Pamela +Jiri=41

Substitute equation 1 into equation 2

(J-9)+J= 41

2J-9=41

Add 9 to both sides:

2J=41+9

Divide by 2:

2J=50

J=25

the required Jiri's age is 25 years.

Pamela is 9 years younger than Jiri and the sum of their ages is 41. What is Jiri's age is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Let the age of Pamela and Jiri is x and y respectively
Pamela is 9 years younger than Jiri. so,
y = x + 9   - - - - (1)
the sum of their ages is 41
x +  y = 41  - - - - (2)

From equation 1 put y in equation 2
x + x + 9 = 41
2x + 9 = 41
2x = 41 - 9
2x = 32
x = 32/2
x = 16
Now put this x =16 in equation 1
y = 16 + 9
y = 25

Thus, the required Jiri age is 25 years

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The probability of landing on the shaded region of the figure is 0.10

The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²

area of the smaller region = πr² = 3.14 × 8²  = 200.96 cm²

Therefore,

the probability of landing on the shaded region of the figure = 200.96 / 1962.5

the probability of landing on the shaded region of the figure = 0.10

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The probability that Luke will pick a blue ball is 3/8.

We have,

To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.

Total number of balls

= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)

= 8 balls

Number of blue balls = 3

Now, the probability (P) of picking a blue ball is given by:

P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes

P = 3 (number of blue balls) / 8 (total number of balls)

Now, we can simplify the fraction to its lowest terms:

P = 3/8

Thus,

The probability that Luke will pick a blue ball is 3/8.

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(In c) * 1/c = 0.0604 is the change in the function.

According to the statement

y = (In x)^2 on interval [1,4]

By mean value theorem

we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)

Let it f(y) = (In x)^2

Now, f(4) = (In 4)^2

f(4) = (0.602)^2

f(4) = 0.3624

and

f(1) = (In 1)^2

f(1) = (0)^2

f(1) = 0

Now, f'(c) = 2 (In c) * 1/c

Substitute all these values in a formula

2 (In c) * 1/c = 0.3624 - 0 / 4 - 1

2 (In c) * 1/c = 0.3624/3

2 (In c) * 1/c = 0.1208

(In c) * 1/c = 0.0604

So, (In c) * 1/c = 0.0604 is the change in the function.

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El dinero que le falta a Maritza y su esposo para viajar es 330.

Para calcular el dinero que les falta debemos identificar la cifra total que les va a costar el viaje:

El valor total del viaje es s/3,130, entonces les faltarían s/330.

3,130 - 2,800 = 330

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Answer:

Width = 5.5ft, Length = 8ft.

Step-by-step explanation:

Area of Rectangle = Length x Width

Let w be the Width of the rectangle.

From the information given from the question,

Length = 2w - 3 (3ft less than twice the width)

Area of Rectangle = [tex](2w-3)w\\=2w^{2} -3w[/tex] = 44

Now we can solve for w to find the dimensions.

[tex]2w^{2} -3w-44=0[/tex] (Quadratic Equations)

We can use the Quadratic formula to find w.

[tex]w=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Since a = 2, b = -3 and c = -44,

[tex]w=\frac{-(-3)+/-\sqrt{(-3)^{2}-4(2)(-44) } }{2(2)} \\= 5.5 or -4 (reject)[/tex]

We reject negative values here.

Therefore, the width of the Rectangle = 5.5ft

While the length of the rectangle = 2(5.5) - 3 = 11 - 3 = 8ft

Answer:

(I've marked the lines considered functions with a check mark)

Step-by-step explanation:

Answer:

1/5 :D

Step-by-step explanation:

Lets pick 2 point on the graph :)

We need this to find the slope!

Lets use (-5,1) and (0,2) :)

First we subtract the y coordinates! :)

2 - 1 = 1

Then we subtract the x coordinates!

0 - (-5) = 5

Now we divide!

1/5

Our answer is 1/5!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

first choice : 1/5

Step-by-step explanation:

need 2 points

one point is (0,2)

another is (5,3)

slope formula is

y2 - y1 / x2 - x1

3 - 2 / 5 - 0

1/5

The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)

In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the quadratic equation of the parabola:

f(x) = a · (x + 1) · (x - 9)

- 125 = a · (4 + 1) · (4 - 9)

- 125 = a · 5 · (- 5)

- 125 = - 25 · a

a = - 5

f(x) = 5 · (x + 1) · (x - 9)

f(x) = 5 · (x² - 8 · x - 9)

f(x) = 5 · x² - 40 · x - 45

The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)

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The company's current ratio is 2.6.

Current ratio is an example of a liquidity ratio. Liquidity ratios are financial ratios measure a firm's ability to honour its short terms obligations.

Current ratio = current asset /current liability

$65,000 / 25,000 = 2.6

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Using the t-distribution, the 95% confidence interval within which the mean of the total population of such cases is expected lie is:

(112.5, 127.5).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 18 - 1 = 17 df, is t = 2.1098.

The parameters for this problem are:

[tex]\overline{x} = 120, s = 15, n = 18[/tex].

Hence the bounds of the interval are:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 120 - 2.1098\frac{15}{\sqrt{18}} = 112.5[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 120 + 2.1098\frac{15}{\sqrt{18}} = 127.5[/tex]

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The path of the given Hamiltonian diagram is A, E, B, C, D, F. See explanation below.

A Hamiltonian path, also known as a traceable path, is one that visits each vertex of the graph precisely once.

A traceable graph is one that contains a Hamiltonian path.

Hence, the path is given as;
A, E, B, C, D, F

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The algebraic expression is 20b

The statement is given as:

$20 a ticket

This means that the cost of 1 ticket is $20.

So, the cost of b tickets is

Cost = 20 * b

Evaluate

Cost = 20b

Hence, the algebraic expression is 20b

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The substance's half - life is 7 days

The formula for finding the half - life is given as;

Half - life = [tex]\frac{0. 693}{k}[/tex]

The k value given is 0.1027

Half - life = [tex]\frac{0. 693}{0.1027}[/tex]

Half - life = 6. 75

Half - life = 7 days in the nearest tenth

Thus, the substance's half - life is 7 days

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The amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.

The future value refers to the compounded value (at an interest rate) of the present value, including the periodic cash investments, over a period.

The future value can be determined using either the future value formula, future value table, or an online finance calculator, as below.

N (# of periods) = 18 months

I/Y (Interest per year) = 15%

PV (Present Value) = R1,000

PMT (Periodic Payment) = R 700

Results

FV = R15,282.91 (R12,600 + R1,000 + R1,682.91)

Sum of all periodic payments = R12,600 (R700 x 18)

Total Interest = R1,682.91

Thus, the amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.

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4x - 10 = 7 - 2x (given)

6x - 10 = 7 (addition property of equality)

6x = 17 (addition property of equality)

x = 17/6 (division property of equality)

An equation is an expression that shows the relationship between two or more numbers and variables.

From the equation:

4x - 10 = 7 - 2x (given)

6x - 10 = 7 (addition property of equality)

6x = 17 (addition property of equality)

x = 17/6 (division property of equality)

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Considering the function for the net worth of the function, it is found that it will not be in debt for the first time after 6 months in month 14, at point (14,0), which is plotted on the graph.

A company is said to be in debt if it's net worth is negative. On a graph, it is represented by the curve being below the x-axis.

From month 2 until the end of month 13, the company is in debt, hence it will not be in debt for the first time after 6 months in month 14, at point (14,0), which is plotted on the graph.

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