Can someone please help

Answer:

d) 5.88×10^9

Step-by-step explanation:

Answer:

d) 5.88 × 10⁻⁹

Explanation:

[tex]\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)[/tex]

[tex]\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}[/tex]

[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9[/tex]

[tex]\rightarrow \sf 5.88 \cdot \:10^9[/tex]

An estimate of the mean travelling time will be 24.8 mins.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Given;

Time > timemark > frequency

0 – 10 > 10/2 = 5 > 5

10 – 20 > (10+20)/2 = 15 > 15

20 – 30 > (20+30)/2 = 25 > 13

30 – 40 > (30+40)/2 = 35 > 10

40 – 50 > (40+50)/2 = 45 > 7

The mean time for the 50 people can be calculated as;

Mean = Summation of (mid-time x frequency) / total frequency

Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50

Mean = [25 + 225 + 325 + 350 + 315] / 50

Mean = 1240 / 50

Mean = 24.8 mins

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The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]

The number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

The correct option is C)

⇒  A diagonal is a segment that connects two non-consecutive vertices in a polygon.

⇒  The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides.

A polygon is a plane figure enclosed by line segments called sides. Polygon is a 2d shape.

Regular polygons contain equal side lengths.

⇒  Let n be the number sides in the polygon.

⇒  So, the number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

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Answer:

Step-by-step explanation:

THIS WILL BE A STRAIGHT LINE rising to the left as the coefficient of x is negative ( -3/2),

When x = 0  y = -3 so mark the point (0, -3) on your graph paper.

When x = 6, y = -3/2 * 6 - 3 =  -9 - 3 = -12

So mark  the point (6, -12)

The graph will be the straight  line passing through the above 2 points.

Answer:15

Step-by-step explanation:

Start off using Java. As u progress you cant move over to C and the then transfer to python.

(a) The fraction of books that are fiction is 2/3.

(b) The fraction of books that are non-fiction is 1/3.

To find the fraction of fiction and non-fiction books on a bookshelf:

Given: A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction books. (a)Fraction of fiction books =?

(b)Fraction of non-fiction books =?

Now,

As given, we have,

The total number of books on a bookshelf = 96

Out of 96, the total number of fiction books = 64

So,

The remaining number of books = non-fiction books = 96-64 = 32

(a) Fraction of fiction books = fiction books/total books

= 64/96

On simplification,

= 2/3

(b) Fraction of non-fiction books = non-fiction books/total books

= 32/96

= 1/3

Therefore, the fraction of fiction and non-fiction books is 2/3 and 1/3 respectively.

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The function that best models the scenario is as follows;

x < 5 :  C(x) = 3.45x + 1

x ≥ 5  : C(x) = 3x + 1

A local candy shop sells boxes of chocolate for $3.45 each.

This is when the consumer purchase less than 5 boxes of chocolates.

Therefore,

x = number of boxes

when x < 5

C(x) = 3.45x + 1

If a customer purchases five or more boxes, the cost is only $3 per box. Therefore,

when x ≥ 5

C(x) = 3x + 1

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Utilizando trigonometría, veremos que la altura del arbol es 6m.

Podemos visualizar la situación como un triangulo rectangulo.

La altura del arbol será el cateto opuesto al angulo de 36.87°.

La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.

Entonces, podemos usar la relacion:

tan(θ) = (cateto opuesto)/(cateto adjacente).

Reemplazando lo que conocemos, y definiendo:

altura = cateto opuesto = H.

tendremos:

tan(36.87°) = H/8m

Resolviendo para H:

H = tan(36.87°)*8m = 6m

Así, concluimos que la altura del arbol es 6m.

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Answer:

131.13

To find the area do w (width) times l (length/breadth) so the equation to find the area would be L*W=A

Answer:

160

Step-Step Explaining:

So I Know This ⏩ ⏩

average speed equals distance over time 100/80 will give you 5/4

Answer:

+ 10.53 % change

Step-by-step explanation:

Percent change is   4 more people added to 38

   4 / 38  * 100% = 10.53 %

Answer:

9800 cm^2

Step-by-step explanation:

The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2

Answer:

×=-3

y=-4

Step-by-step explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer:

x = 3
y = -4
(3,-4)

Step-by-step explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

Now, we can vertically subtract them to eliminate -3y.

Solve for x

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

The value of y is -4.

The solution to the system is (3,-4).

Answer:

D

Step-by-step explanation:

I looked at the vertical asymptotes. -1 and 2. from the knowledge I have the answer with x=-1, 2 is D.

The standard equation of user will be y = 625x²+1250x+5000

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A connection or statement involving one or more variables is called a function.

From the graph we can find following equation:

(0,5000) ----------- 5000 = [tex]\frac{1}{4(f-k)}(0-h)^2 +k[/tex]

(2,10000) ---------- 10000 = [tex]\frac{1}{4(f-k)}(2-h)^2 +k[/tex]

(4,20000) --------- 20000 = [tex]\frac{1}{4(f-k)}(4-h)^2 +k[/tex]

Solving the above three equations we will get following values:

h = -1

k = 4375

f = 10937501/2500

Hence the standard equation of user will be y = 625x²+1250x+5000

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Answer: Quadrant III

Step-by-step explanation:

The slope is negative and the y-intercept is positive.

This means that it is impossible for both x and y to be negative, and thus it does not pass through Quadrant III

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

Answer:

[tex]\huge\boxed{\sf y-intercept = -1}[/tex]

Step-by-step explanation:

Here,

Since, this is the point where x = 0 and where the line passes through the y-axis.

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Answer:

slope is 7 and point on line is (1, 4 )

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

given line A has equation in point- slope form of

y - 4 = 7(x - 1) , then

slope of line is 7 and a point on the line is (1, 4 )

Answer:

x = 1/2

Step-by-step explanation:

Answer:x = 1/2

Step-by-step explanation: Just took the test on EDGE!!

Answer:

[tex]\sf B) \ y=-\dfrac{1}{5}x-4[/tex]

Explanation:

Equation: y = mx + b      [where "m" is slope, "b" is y-intercept]

The y-intercept (b) is -4

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here take two points: (0, -4), (5, -5)

[tex]\sf slope \ (m) : \dfrac{-5-(-4)}{5-0} = -\dfrac{1}{5}[/tex]

[tex]\sf Hence \ equation : y = -\dfrac{1}{5} x -4[/tex]

The value of the expression Z² + Q² is 4321

The radius of the chocolate spheres is given as:

r = 2

The maximum number of chocolates that can fit in a spherical capsule is calculated as:

Max = R³/r³

Where:

R represents the radius of the sphere.

For the spherical capsule whose radius is 8 inches, we have:

Z = 8³/2³

Evaluate

Z = 64

For the spherical capsule whose radius is 5 inches, we have:

Q = 5³/2³

Evaluate

Q = 15.625

Remove decimal

Q = 15

So, we have:

Z² + Q² = 64² + 15²

Evaluate the exponent

Z² + Q² = 4096 + 225

Evaluate the sum

Z² + Q² = 4321

Hence, the value of Z² + Q² is 4321

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The correct answer is option B which is {x | x ≤ 4.5}

A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

Therefore the correct answer is option B which is {x | x ≤ 4.5}

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Answer:

[tex]y = - 2x + 4[/tex]

Step-by-step explanation:

Thank you

Answer:

See below for both parts

Step-by-step explanation:

A)

Coupon Price:

$25 - 15% ($3.75) = $21.25

10% = 2.50

5% = 1.25

After taking the discount coupon off the final price is $21.25

B)

20% is given as a tip.

20% of $21.25 = $4.25

10% = 2.125

$21.25 + $4.25 = $25.50

Final price with tip is $25.50

Answer: tan^-1 (c/a)

Step-by-step explanation: An angle C ∈ ℝ such that angle C > 0 can be defined by the trigonometric ratio Arctangent (or rather tan^-1) where side "c" divided by side "a" ≠ 0.