What is the approximate distance between points (-5,-1) and point M (7,6)?
A. 19.3units
B. 96.5units
C. 7 units
D. 13.9 units

Answer:

One thing that I do to help me with home work is to buy m&ms or your favorite candy/snack and then when your done with a question or however you want to split it up eat a piece. If you are doing virtual school when you wake up get dressed, make your bed, eat breakfast, and prepare a bag of all of you schoolwork, like you would on a regular day. after every class take a 5 min. break and walk around.

Step-by-step explanation:

I hope this helped

1. The rate of change, in this case, is $100 per week.

2. The rate of change, in this case, is $-8 per week.

1. In this situation, the rate of change of Andre's savings account can be modeled using a linear equation of the form - y = mx + b

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money added to the account each week), and

b represents the starting balance.

To find the rate of change, you can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 6 weeks (i.e., $1,600),

y1 represents the starting balance (i.e., $1,000),

x represents the number of weeks (i.e., 6), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 1600 - 1000 = m(6 - 0), which simplifies to 600 = 6m.

Dividing both sides of the equation by 6 gives m = 100, so the rate of change is $100 per week.

2. In this situation, the rate of change of Kiran's checking account can also be modeled using a linear equation of the form y = mx + b,

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money spent from the account each week), and

b represents the starting balance.

To find the rate of change, you can again use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 4 weeks (i.e., $716),

y1 represents the starting balance (i.e., $748),

x represents the number of weeks (i.e., 4), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 716 - 748 = m(4 - 0), which simplifies to -32 = 4m.

Dividing both sides of the equation by 4 gives m = -8, so the rate of change is $-8 per week.

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answer

°

61°

Step-by-step explanation:

The measure of ∠MOP=61°.

A straight angle is an angle which measures 180°.

So according to the question,

∠MON is a straight angle.

⇒m∠MON=180°

∠QON=58° (according to the figure)

OP bisects ∠MOQ,

then OP makes ∠MOQ into two equal angles i.e. ∠MOP and ∠POQ:

∠MOP=∠POQ=∠MOQ/2  -----equation-1

As OQ divides ∠MON into two angles ∠MOQ and ∠QON. So,

m∠MOQ+m∠QON=m∠MON

⇒m∠MOQ+58°=180°

⇒m∠MOQ=180°-58°

⇒m∠MOQ=122°

Replacing ∠MOQ by 122° in the equation-1

m∠MOP=m∠POQ=m∠MOQ/2=122°/2

⇒m∠MOP=m<POQ=61°

Therefore the measure of ∠MOP=61°.

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Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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Answer:

41.7feet

Step-by-step explanation:

From the question we are given the following

angle of depression = 50°

Distance of the pole from the base of the feet = 35feet (Adjacent)

Required

height of the school (opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 50 = H/35

H = 35tan 50

H = 35(1.1918)

H = 41.7feet

Hence the height of the school is 41.7feet

Answer:

Step-by-step explanation:

From given tables the first and third function are linear functions, and second and third function are non linear.

What is linear and non linear function?

When plotted on a graph, a linear function produces a straight line. Therefore, any non-linear functions are those that are functions. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.

To check the given functions are linear or not first we have to check that the functions having constant rate of change or not.

Since, Rate of change = \(\frac{f(b) - f(a)}{b-a}\)

For the first function,

Rate of change = \(\frac{10-5}{2-1}=\frac{15-10}{3-2}=\frac{20-15}{4-3}=5\)

The rate of change is constant.

For the last function,

Rate of change = \(\frac{20-35}{0+1}=\frac{5-20}{1-0}=\frac{-10-5}{2-1}=-15\)

The rate of change is constant.

The rate of change for second and third function is not constant.

Hence, the functions first and last are linear and the functions second and last are non linear.

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The amount owed at the end of that period is given as follows:

$334.

An exponential function is modeled as follows:

y = ab^x.

In which:

For a decreasing exponential function, the rate of change b is given as follows:

b = 1 - r.

In which r is the decay rate.

The parameters for this problem are given as follows:

a = 390, r = 0.05, b = 0.95.

Hence the function giving the amount owed after x months is given as follows:

y = 390(0.95)^x.

After three months, the amount owed is given as follows:

y = 390(0.95)^3

y = $334.

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Answer:

$334.37

Step-by-step explanation:

At the start, Sai owes his mum $390. After the first month, his mum reduces his debt by 5% of $390, which is 0.05 x $390 = $19.50. So at the end of the first month, he owes his mum $390 - $19.50 = $370.50.

After the second month, his mum reduces his debt by 5% of $370.50, which is 0.05 x $370.50 = $18.53. So at the end of the second month, he owes his mum $370.50 - $18.53 = $351.97.

After the third month, his mum reduces his debt by 5% of $351.97, which is 0.05 x $351.97 = $17.60 (rounded to the nearest cent). So at the end of the third month, he owes his mum $351.97 - $17.60 = $334.37.

Therefore, Sai owes his mum $334.37 at the end of three months.

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

According to analytical geometry, we could know the equation of the line by means of the point-slope equation:

y - y₁ = m · (x - x₁)     (1)

Where:

If we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:

y + 3 = -(1/3) · (x + 3)

y + 3 = -x/3 -1

y = -x/3 - 4

Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

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Answer: The product of (abc) is (-2/3)(1/3)(-1) = 2/9.

Answer:

657

Step-by-step explanation:

Step-by-step explanation:

similarities ratio of circumference = 2πr/2πR = r/R= 77/147= 11/21

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

Joanna bought 10 $0.15 stamps and (10 - 10) $0.29 stamps.

To solve this problem, we need to use a system of equations. Let x be the number of $0.15 stamps Joanna bought and y be the number of $0.29 stamps she bought. We know that she bought a total of $4.40 worth of stamps, so we can write the equation:
0.15x + 0.29y = 4.40
We also know that she only bought $0.15 and $0.29 stamps, so the number of stamps she bought must be a whole number. This gives us another equation:
x + y = n, where n is a whole number.
To solve for x, we can use substitution. We can rewrite the second equation as y = n - x, and substitute this into the first equation:
0.15x + 0.29(n - x) = 4.40
Simplifying this equation, we get:
0.14x + 0.29n = 4.40
Now we need to find a value of n that makes both equations true. We can start by assuming that Joanna bought a total of 10 stamps (n=10). Substituting this into the second equation, we get:
x + y = 10
x + (10 - x) = 10
y = 10 - x
So Joanna bought 10 stamps in total, and we know that she only bought $0.15 and $0.29 stamps. Let's assume she bought x $0.15 stamps. Then she must have bought (10 - x) $0.29 stamps. We can now use these assumptions to check if the first equation is true:
0.15x + 0.29(10 - x) = 4.40
0.15x + 2.9 - 0.29x = 4.40
-0.14x = -1.5
x ≈ 10.7
Since x must be a whole number, we need to round down to the nearest whole number. Therefore, Joanna bought 10 $0.15 stamps and (10 - 10) $0.29 stamps.

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The height of the triangle with base, b = 4.2mm and area, A = 71.61mm2 can be work out as 8.4mm.

To calculate the area of a triangle then the formaula A= 0.5bh can be used where the A= area of the triangle and B= base of the triangle and H = height of the triangle.

Then we can substitute the given values from the question into the formula as:

4.2 =0.5 *h

the the vale of h=4.2/0.5= 8.4mm

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Answer:

Movements of tectonic plates create volcanoes along the plate boundaries, which erupt and form mountains. A volcanic arc system is a series of volcanoes that form near a subduction zone where the crust of a sinking oceanic plate melts and drags water down with the subducting crust.

The point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

In statistics, for point estimation, an unknown population parameter (e.g. population mean). More formally, it is applying a point estimator to data to obtain a point estimate.

Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.

Based on the question,

The confidence  interval of Lower bound is 0.226.

The confidence interval of Upper bound is 0.604.

X - E = 0.226.                     --------------------------- (1)

X + E = 0.604                     ---------------------------(2)

Adding equation (1) and (2),

    2X = 0.83

⇒  X = 0.83/2

⇒ X = 0.415

Putting X = 0.415 in equation (1),

0.415 + E = 0.604

⇒ E = 0.604 - 0.415

⇒ E = 0.189

Thus, the point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

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There are a total of 12 possible outcomes in the sample space.

The possible outcomes of Brittany wearing a skirt and a top can be determined by considering all the combinations of skirts and tops.

Skirts: Black, Violet, White, Red

Tops: Yellow, Pink, Green

The possible outcomes are as follows:

Black skirt and yellow top

Black skirt and pink top

Black skirt and green top

Violet skirt and yellow top

Violet skirt and pink top

Violet skirt and green top

White skirt and yellow top

White skirt and pink top

White skirt and green top

Red skirt and yellow top

Red skirt and pink top

Red skirt and green top

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Answer:

19 mins before 10 means there are 19 mins left to be 10:00 a.m/p.m

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:

False

Step-by-step explanation:

Answer: 1 3/5

Step-by-step explanation:

From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.

The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:

= 8 / 5

= 1 3/5

Answer:

You don't give the graph options, but the slope is 2 and the y intercept is

(0, -1)

Step-by-step explanation:

It would look something like this-

(in the screenshot attached)

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

X is a value between 0 and 2. We want to find the probability of x ≥ 0.48. Those numbers are the numbers between 0.48 and 2.

Thus:

Now, we calculate the probability, 1.52 is the favorable outcomes and 2 is the total outcomes:

The probability in decimal is 0.76

The probability in fraction form is:

And the probability as a percentage is:

Given:

\(\overrightarrow{SV}\) bisects ∠RST.

\(m\angle RSV=64^\circ\)

To find:

The \(m\angle RST\).

Solution:

Since, \(\overrightarrow{SV}\) bisects ∠RST, therefore

\(m\angle RSV=m\angle VST\)         ...(1)

Now,

\(m\angle RST=m\angle RSV+m\angle VST\)

\(m\angle RST=m\angle RSV+m\angle RSV\)         [Using (1)]

\(m\angle RST=2\times m\angle RSV\)

\(m\angle RST=2\times 64^\circ\)              \([\text{Given }m\angle RSV=64^\circ]\)

\(m\angle RST=128^\circ\)

Therefore, the value of \(m\angle RST\) is \(128^\circ\).

Answer:

$4,230

Step-by-step explanation:

There are 846 puzzles sold and including tax, it is $5 per puzzle. Multiply the amount of puzzles by cost and you get the total cost of all puzzles sold including tax.

2/3x + 1/4y = -26 (a)

+

2/5x + 2/3y = -28 (b)

____________

Multiply (a) by -3/5 , then add

-2/5x - 3/20 = 78/5

+

2/5x + 2/3y = -28 (b)

______________

31/60y = -62/5

y = -62/5 * 60/31

y= -24

Replace y=-24 on any equation and solve for x

2/3x + 1/4 (-24) = -26

2/3x -6 = -26

2/3x = -26+6

2/3x = -20

x = -20 * 3/2

x = -30

(x,y) = (-30,-24)

Answer:

-1/2 is m and 3 is b

Step-by-step explanation:

-1/2 is the slope and 3 is the y-intercept,

Answer:

Step-by-step explanation:

The slope m is -1/2

The y-int b is 3

Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int