Which person in the high rise building is closest to the street level?Moira is in her doctor’s office on the fourth floor.Geoffrey is in the elevator between the second and third floors.Sandy is in the laundry room on the –2 basement floor.Hasim is leaving the parking garage and is currently between –1 and –2 levels.

Answer:

34.77

Step-by-step explanation:

The area of a triangle with sides of length 6 cm, 4 cm, and 7 cm is approximately 11.95 cm² when calculated using Heron's formula and rounded to two decimal places.

The original question appears to be incomplete as there's no clear indication of which measure is being sought for the triangle with sides of length 6 cm, 4 cm, and 7 cm. However, if the goal is to use these sides to determine the area of a triangle, we can use Heron's formula, since the lengths given do not form a right triangle.

First, calculate the semiperimeter (s):

(s) = (a + b + c) / 2

(s) = (6 + 4 + 7) / 2

(s) = 17 / 2

(s) = 8.5 cm

Now, apply Heron's formula which is Area [tex](A) = \sqrt{[ (s)((s)-a)((s)-b)((s)-c) ][/tex]:

[tex]A = \sqrt{[8.5(8.5-6)(8.5-4)(8.5-7)]}\\A = \sqrt{[8.5(2.5)(4.5)(1.5)]}\\A = \sqrt{[8.5 \times 2.5 \times 4.5 \times 1.5]}\\A \approx 11.95 cm^2 after\ calculating\ the\ square\ root[/tex]

Thus the area of the triangle is approximately [tex]11.95 cm^2[/tex] (rounded to two decimal places). Note that the question's original instructions to round to two significant figures would result in an answer of [tex]12 cm^2[/tex].

As per quadratic equation, all values of 't' for which the ball's height is 15 feet are 33.25 and (- 31.813).

"Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x)."

Given, [tex]h = 15[/tex] feet.

Therefore, the quadratic equation for [tex]h = 15[/tex] will be:

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23 feet per second.

The ball's height h (in feet) after t seconds is:

[tex]h = 7+23t-16t^{2}[/tex]

[tex]15 = 7+23t-16t^{2}[/tex]

⇒ [tex]15-7-23t+16t^{2} = 0[/tex]

⇒ [tex]16t^{2} -23t - 8 = 0[/tex]

⇒ [tex]t = [- (-23)[/tex] ± [tex]\sqrt{(23)^{2} - 4(16)(- 8)}[/tex] ]/(2 × 16)

⇒ [tex]t =[/tex] [23 ± 1041]/32

⇒ [tex]t =[/tex] [23 + 1041]/32, [23 - 1041]/32

⇒ [tex]t =[/tex] 33.25, - 31.813

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12/5 = 2.4 times larger

3 x 2.4 = 7.2 inches wide

The statement that is true for the graph of function shown below is option (B) both graphs have exactly one asymptote is the correct answer.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The diagram shows the graph that has 2 functions f(x) and g(x).

The function f(x) is increasing function and the function g(x) is decreasing function.

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

Here the two functions f(x) and g(x) approaches zero at asymptote of 1.

Hence we can conclude that the statement that is true for the graph of function shown below is option (B) both graphs have exactly one asymptote is the correct answer.

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The probability of answering all the question correctly is [tex]\boxed{\bf \dfrac{1}{256}}[/tex]

Further Explanation:

Given:

The total number of question is [tex]4[/tex].

Each question has [tex]4[/tex] options and one is correct.

Concept used:

Probability is defined as the ratio of number of favorable outcomes to number of total outcomes.

[tex]\boxed{\text{Probability}=\dfrac{\text{favorable outcomes}}{\text{total outcomes}}}[/tex]

Calculation:

The probability of getting the correct answer is calculated as follows:

[tex]\begin{aligned}P&=\dfrac{1}{4}\\&=0.25\end{aligned}[/tex]

The probability of getting the incorrect answer is calculated as follows:

[tex]\begin{aligned}P&=1-\dfrac{1}{4}\\&=1-0.25\\&=0.75\end{aligned}[/tex]

The formula for probability of answering all question correctly is as follows:

[tex]\boxed{P'=^nC_{r}P^{r}(1-P)^{n-r}}[/tex]

Here, [tex]n[/tex] is number of question and [tex]r[/tex] is number of correct answer, [tex]P'[/tex] is the probability of answering all question correctly.

Solve the above equation to obtain probability of answer all question correctly.

Substitute [tex]4[/tex] for [tex]n[/tex], [tex]0.25[/tex] for [tex]P[/tex] and [tex]4[/tex] for [tex]r[/tex] in above equation to obtain probability of answering all question correctly.

[tex]\begin{aligned}P'&=^4C_{4}(0.25)^{4}(1-0.25)^{4-4}\\&=\dfrac{4!}{(4-4)!\cdot 4!}\left(\dfrac{25}{100}\right)^{4}(0.75)^{0}\\&=\left(\dfrac{1}{4}\right)^{4}\\&=\dfrac{1}{256}\end{aligned}[/tex]  

Therefore, the probability of the correct answer is [tex]0.25[/tex].

The probability of the incorrect answer is [tex]0.75[/tex].

The probability of answering all question correctly is [tex]\dfrac{1}{256}[/tex].

Thus, the probability of answering all question correctly is [tex]\boxed{\dfrac{1}{256}}[/tex].

Learn more:

1. Simplification: https://brainly.com/question/1602237

2. Quadratic equation: https://brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Probability

Keywords: Probability, Question, Richard, multiple choice, four answer, class, attend, guesses, correctly answer, favorable outcomes, total outcomes.

The probability that Richard will answer all four questions correctly is 0.004.

The probability that Richard will answer all four questions correctly can be determined by multiplying the probability of getting one question correct by itself for each question. Since each question has four answer choices and only one is correct, the probability of guessing the correct answer for one question is 1/4.

Therefore, the probability of Richard answering all four questions correctly is (1/4) * (1/4) * (1/4) * (1/4) = 1/256. Rounded to three decimal places, this probability is approximately 0.004.

Thus, the probability that Richard will answer all questions correctly is 0.004.

Answer:

Widest to narrowest

[tex]y=-\frac{1}{5}x^2[/tex] -  [tex]y=-\frac{1}{3}x^2[/tex] - [tex]y=-7x^2[/tex]                  

Step-by-step explanation:

Given :  Graph 1 - [tex]y=-7x^2[/tex]

Graph 2- [tex]y=-\frac{1}{5}x^2[/tex]

Graph 3 - [tex]y=-\frac{1}{3}x^2[/tex]

To find : Order the group of quadratic functions from widest to narrowest graph.

Solution :

First we plot the given graph,

Refer the attached figure below.

In the graph, we see that all graph has same vertices (0,0) and

Graph 2 with green in color  [tex]y=-\frac{1}{5}x^2[/tex] is the most widest graph among all.

Then graph 3 with purple in color is the widest and then graph 1 with blue in color is the most narrowest graph.

So, The order of the graph from widest to narrowest is

Graph 2 - Graph 3 - Graph 1

[tex]y=-\frac{1}{5}x^2[/tex] -  [tex]y=-\frac{1}{3}x^2[/tex] - [tex]y=-7x^2[/tex]

The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can see that Angles UVW ad ZXW are congruent,

Then because of the vertical angle theorem; angles UWV and XWZ are congruent.

So if there are 2 angles in each triangle which are congruent to each other, then the triangle angle sum theorem state that the third angle also has to be congruent in each.

BUT congruent angles do not make the triangles congruent due to the length of the sides can change and the measures of the angles remain unchanged.

Hence, The measure of ∠WZX is B; y, because Triangle UVW is similar to triangle ZXW.

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Answer:

H = .2L; H = .4

Step-by-step explanation:

The actual distance between the cities are 40 miles.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

According to the question we are given that On a map, 1 inch equals 5 miles. two cities are 8 inches apart on the map.

that is, 1cm : 5 miles

Here two cities are 8 inches apart on the map.

then 8 inches equals to

5 x 8 = 40 miles.

The actual distance is 40 miles.

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To find the original price of Lisa's suit, convert the discount to a decimal and divide the sale price by one minus the discount rate. The original price is calculated to be $540.

To calculate the original price of Lisa's suit, which she bought on sale for $459 at a discount of 15% less than the original price, we can use the formula:

Original Price = Sale Price / (1 - Discount Percent)

First, we convert the percentage discount to a decimal:

15% = 0.15

Then, we divide the sale price by the complement of the discount rate:

Original Price = $459 / (1 - 0.15)
Original Price = $459 / 0.85
Original Price = $540

Therefore, the original price of the suit was $540.

Answer:

4/15 is 100% the answer *NOT* 1/9 or anything else!

Step-by-step explanation:

3275 = x * (1+0.075/12)^(12*10)

3275 = x * (2.11206463)

x= 3275/2.11206463 = 1550.6154

x=1550.62

she needs to deposit $1,550.62

The equivalent expression to the given expression is [tex]8x^12y^3[/tex].

We have given that,

The  expression (2x^4y)^3

We have to determine the,

Which expression is equivalent to (2x^4y)^3

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

The answer is D.

2^3 is 8.

(x^4)^3 is x^12 and y^3 is simply y^3.

Put them together to get the final answer.

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x+y=12

x-y=4

x=y-4

y-4+y=12

2y-4=12

2y=16

y=8

x=8-4=8

8+4=12

 the 2 numbers are 8 & 4

area = pi x r^2

615.75 = 3.14 x r^2

r^2 = 615.75/3.14 =196.0987 round to 196.1

r = sqrt(196.1) = 14.00357 round to 14

radius = 14 kilometers