what are the three arithmetic means between 10 and 130

Answer:

30 Monkeys 50 trees

explanation:

Your welcome

The number of monkeys in the trees is 24.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

The number of monkeys in the trees = 60% x 40

= 0.6 x 40 = 24

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Answer:

Answer is A

explanation:

there is no point (0.-3) on the graph.

Answer:

it's D edg 2020

Step-by-step explanation:

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

The other endpoint of a line segment JK is K(- 6, 31).

The formula for midpoint \(x_m\) = (x₁ + x₂)/2 and \(y_m\) = (y₁ + y₂)/2.

Where x₁, y₁, and x₂, y₂ are the endpoint of the line.

Given, The midpoint of JK is point L at (-1, 8) and One endpoint is J(4, - 15).

Assuming the other endpoint(K) to be (x₂, y₂).

∴ - 1 = (4 + x₂)/2.

- 2 = 4 + x₂.

x₂ = - 6.

And,

8 = (- 15 +  y₂)/2.

16 = - 15 +  y₂.

y₂ = 31.

So, K(- 6, 31).

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The second differences for the relation is -2 which is option A.

To find the second differences, we need to calculate the difference between consecutive differences of the 'y' values in the given relation.

First, let's calculate the first differences:

-9 - (-4) = -5

-4 - (-1) = -3

-1 - 0 = -1

0 - (-1) = 1

-1 - (-4) = 3

-4 - (-9) = 5

Now, let's calculate the second differences:

-5 - (-3) = -2

-3 - (-1) = -2

-1 - 1 = -2

1 - 3 = -2

3 - 5 = -2

The second differences for the given relation are all -2.

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Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

26

Step-by-step explanation:

26 - 3 = 23

hope this helps

Answer:

x = 26

Step-by-step explanation:

x-3=23

Add 3 to each side

x-3+3=23+3

x = 26

Answer:

7/9 becuase Jerry already have 2/3 of a cake and Mandy gave him a 5/6 so it's 7/9

Answer: 1 1/2

Step-by-step explanation:

2/3+5/6= 4/6+5/6

= 9/6

= 3/2 = 1 1/2

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

The macrostate s of two six-sided dice can be defined as the sum of the top faces of the dice.

The macrostate of a system refers to a comprehensive description of the system in terms of its properties and variables that are used to characterize it. In the case of two six-sided dice, the macrostate is described by the sum of the numbers on the top faces of the two dice, which determines the total score or outcome. This macrostate, represented by the variable "s", is a measurable quantity that summarizes the state of the system, providing information about the distribution of the outcomes over all possible configurations of the two dice.

It's important to note that a macrostate does not specify the exact configuration of the system, but rather provides a probabilistic description of it. In other words, the macrostate "s" only describes the sum of the two dice and does not specify which number is on each die. In thermodynamics, macrostates are used to characterize the thermodynamic properties of a system, such as its temperature, pressure, and entropy. The study of macrostates and their distributions helps us to understand the behavior of complex systems and make predictions about their future behavior.

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The expectation of the contest, based on the different prizes at the "Lucky Seven Sweepstakes " is $ 0.02

The expectation is the weighted average of the number of people who can win prizes and those who can't, in the contest.

The expectation of the "Lucky Seven Sweepstakes" is therefore:

= (1 / 9 million x 70, 000 ) + ( 7 / 9 million x 7, 000 ) + ( 77 / 9 million x 700 ) + ( 777 / 9 million  x 70 ) + ( Remainder / 9 million x 0 )

= (1 / 9 million x 70, 000 ) + ( 7 / 9 million x 7, 000 ) + ( 77 / 9 million x 700 ) + ( 777 / 9 million  x 70 )

= $0.0252

= $ 0.02

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The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

hindi ko po maintin dihan sorryyyyyyyyyy

It’s D.

Explanation:

First we have to know how many 24’s are there in 672 (because for every 24 cans, $15 would be donated) So you divide 672 divided by 24 which is 28. That means she donated 28 x 15. That ends up being 420 (D).

Hope this helps

Answer:

34

Step-by-step explanation:659-625=34

The result \(\frac{1}{3}\)  of -2 is   \(-\frac{2}{3}\)  or -0.67

To solve the problem above, we can use the formula for operating fractions.

How to calculate it is like when calculating the multiplication and division  of integers, but the product of the quantifier and number is then divided by the denominator.

So that,

\(=\frac{1}{3} \times -2\)

\(=\frac{1 \times (-2)}{3}\)

\(=-\frac{2}{3}\)

= -2 ÷ 3

= -0.67

So, the result  \(\frac{1}{3}\)  of -2 is \(-\frac{2}{3}\)  or -0.67

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Answer:

i think its B

Step-by-step explanation:

i think itd most accurate t b

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

1. x = 15 in

2. x = 8 m

Step-by-step explanation:

1. Given:

length = 10 in

width = 3 in

height = x in

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(3*10 + x*10 + x*3) = 10*3*x

2(30 + 10x + 3x) = 30x

2(30 + 13x) = 30x

60 + 26x = 30x

Subtract 26x from both sides

60 + 26x - 26x = 30x - 26x

60 = 4x

Divide both sides by 4

60/4 = 4x/4

15 = x

x = 15 in

2. Given:

length = 8 m

width = 4 m

height = x m

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(4*8 + x*8 + x*4) = 8*4*x

2(32 + 8x + 4x) = 32x

2(32 + 12x) = 32x

64 + 24x = 32x

Subtract 24x from both sides

64 + 24x - 24x = 32x - 24x

64 = 8x

Divide both sides by 8

64/8 = 8x/8

8 = x

x = 8 m

Yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

Linear equatiοns are mathematical expressiοns that represent a straight line when plοtted οn a graph. They are used tο describe relatiοnships between variables that have a cοnstant rate οf change. A linear equatiοn is typically written in the fοrm y = mx + b, where y is the dependent variable, x is the independent variable, m is the slοpe οf the line, and b is the y-intercept.

The slοpe οf the line describes hοw much the dependent variable changes fοr a given change in the independent variable. The y-intercept is the pοint at which the line intersects the y-axis.

Accοrding tο the questiοn:

Tο determine hοw much mοney yοu shοuld invest in each fund, yοu can set up the fοllοwing system οf equatiοns:

Let x be the amοunt invested in Fund A and y be the amοunt invested in Fund B.

x + y = $250,000 (tοtal amοunt invested)

0.012x + 0.062y = $6,000 (annual interest incοme target)

Sοlving fοr x and y, yοu get:

x = $120,000 invested in Fund A

y = $130,000 invested in Fund B

Therefοre, yοu shοuld invest $120,000 in Fund A and $130,000 in Fund B tο prοduce an annual interest incοme οf $6,000.

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Answer:

30+0.25x x is mile driven

Step-by-step explanation:

The answer is:

C. circumference

Work/explanation:

Here's the correct answer:

The distance around a circle is called the circumference.

How to find the circumference :

we can take the square root of both sides to solve for v: v = ±\(\sqrt[2]{v^{2} }\)Therefore, the solutions for v are v = +|v| and v = -|v|.

An equation is a mathematical statement that two expressions are equal. It usually contains variables, which are symbols representing unknown values, and coefficients, which are numerical or constant values. The goal of an equation is to find the value(s) of the variable(s) that make the equation true. Equations can be written in various forms, such as linear, quadratic, polynomial, exponential, or trigonometric equations.

Given by the question.

I assume you meant to write the equation as follows:

5\(v^{2}\) - 3\(v^{2}\)= 2\(v^{2}\)

To solve for v, we can simplify the equation by combining the like terms on the left-hand side:

2\(v^{2}\)=2*v*v

Now we can divide both sides by 2:

\(2v^{2}\)=v*v=\(v^{2}\)

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Check the picture below, so the green line is really the radius of the circle, and we know its center.

\(~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}\)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}\)