The workman’s family car travels 165 miles over 3 hours their cousins family car travels 150 miles over 2 hours if the family reunion is 900 miles away for both families and assuming both families continue at the same rates who will arrive First? What is the speed of each family?

Answer:

$2492.10

Step-by-step explanation:

Balance at the end of 4 years:

Answer:

angle 1=149°

angle 2=31°( because they are alternating angles)

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

\(\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}\)

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by a + 2; the second term by (a + 3) (a + 2); and the third term by a + 3 :

\(\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}\)

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

\(\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0\)

Simplify the numerator:

\(\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0\)

If neither a = -3 nor a = -2, we can ignore the denominator:

\(-8a-19 = 0\)

Solve for a :

\(-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}\)

The distance between the two points is 13 units.

In analytical geometry, the formula for distance can be used to calculate a number of distances, including the distance between two lines, the sum of a polygon's sides, the perimeter of a polygon on a coordinate plane, the area of a polygon, and many more. By using the distance formula, we can, for instance, find the lengths of a triangle's sides and determine whether it is scalene, isosceles, or equilateral.

Distance formula:  \(d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

To find the distance between the two points, we can use the distance formula:

\(d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using the given coordinates:

\(d = \sqrt{((5 - (-8))^2 + ((-4) - (-4))^2)}\)

Simplifying:

\(d = \sqrt{(13^2 + 0^2)}\\\\d = 13\)

Therefore, the distance between the two points is 13 units.

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Answer: The Answer is 13 units which it is right answer.

Step-by-step explanation:    Have great day

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4

Answer: 35f+22

Step-by-step explanation:

Answer:

wheres the answers? i only see the question

Step-by-step explanation:

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The simplified form of the given expression is x raise to the power of one-thirty.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Answer:

4 2/3 divided by 7. You can do 14/3 by making it an improper fraction. Then you can do 14/3 divided by 7/1.

(LCR) 14/3 * 1/7 = 14/21.

Simplify by 7.

14 divided by 7 is 2.

21 divided by 7 is 3.

The answer is 2/3!

Answer:

63.000

Step-by-step explanation:

tell me if you need something pls branliest

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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Answer:

8

Step-by-step explanation:

yw :)

hello

the question given is an equation -42 - 6n = -30

step 1

collect like terms

step 2

divide both sides by the coefficient of n

from the calculations above, the value of n is equal to -2

Answer:

Step-by-step explanation:

5y = 585

Y = 585/5

Y = 117

Answer:

y = 117

Step-by-step explanation:

\(5y=585\\\\\frac{5y=585}{5}\\\\ \boxed{y=117}\)

Hope this helps.

Answer:

no

Step-by-step explanation:

not for sure tho

Answer:

x = 6

Step-by-step explanation:

Answer:

Group 1: ABD

Their curves and the points are in a same order.

Group 2: CEF

Their curves and points are oppositely drawn.

Answer: no one cares

Step-by-step explanation:

Answer:

x intercept -7 and y intercept is 9

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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There are 13 grapefruits in the bag

Jillian placed all the grapefruits that weigh exactly 1/2 pounds into a bag. This means that:

Weight of 1 grapefruit = 1/2 pounds = 0.5 pounds

Let the number of grapefruits = n

The total weight of the bag (I.e all the grapefruits) = 6 1/2 = 6.5 pounds

Total weight of the bag = Number of grapefruits x Weight of 1 grapefruit

6.5 = n x 0.5

0.5n = 6.5

n = 6.5 / 0.5

n = 13

There are 13 grapefruits in the bag

I assume you're referring to a function,

\(f(x) = \dfrac{x^2}{a^2}\)

where a is some unknown constant. By definition of the derivative,

\(\displaystyle f'(x) = \lim_{h\to0}{f(x+h)-f(x)}h\)

Then

\(\displaystyle f'(x) = \lim_{h\to0}{\frac{(x+h)^2}{a^2}-\frac{x^2}{a^2}}h \\\\ f'(x) = \frac1{a^2} \lim_{h\to0}{(x+h)^2-x^2}h \\\\ f'(x) = \frac1{a^2} \lim_{h\to0}{(x^2+2xh+h^2)-x^2}h \\\\ f'(x) = \frac1{a^2} \lim_{h\to0}{2xh+h^2}h \\\\ f'(x) = \frac1{a^2} \lim_{h\to0}(2x+h) = \boxed{\frac{2x}{a^2}}\)

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

yo mama (first one ) .bsnisjehdvxbnxjx

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer: A

I just love your questions. You always put "No guessing" haha.

Step-by-step explanation:

\(f(x)=3^x+10x\\g(x)=2x-4\)

\((f+g)(x)=\)

This basically means you have to take both functions and add them together.

\((f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\\)

Combine like terms;

\((f+g)(x)=3^x+12x-4\)