find the value of given expression

\( \sqrt{255 - 30} \)
​

Answer:

84

Step-by-step explanation:

Hello There!

A central angle is equal to its opposite arc

because the arc = 84 degrees the central angle = 84 degrees

Answer:

Step-by-step explanation:

1/5 of 40

or  40/5,   do you see the answer now?

also,  was your pillow missing , when you woke up this morning? :0  

:DDDDD  maybe it wasn't cupcakes you were eating in your dream :DDDD

8 is your answer, BTW

Answer:

\(m=6\)

Step-by-step explanation:

Exponent properties:

We can use exponent property \(a^{b^c}=a^{(b\cdot c)}\) to solve this problem.

Rewrite \(8\) as \(2^3\), then apply exponent property \(a^{b^c}=a^{(b\cdot c)}\) to simplify:

\(2^{3^5}=2^{2m+3},\\2^{15}=2^{2m+3}\)

If \(a^b=a^c\), then \(b=c\), because of log property \(\log a^b=b\log a\). Using this log property, you can take the log of both sides and divide by \(\log a\) to get \(b=c\)

Therefore, we have:

\(15=2m+3\)

Subtract 3 from both sides:

\(12=2m\)

Divide both sides by 6:

\(m=\frac{12}{2}=\boxed{6}\)

Alternative:

Given \(8^5=2^{2m+3}\), to move the exponent down, we'll use log properties.

Start by simplifying:

\(\log 32,768=2^{2m+3}\)

Take the log of both sides, then use log property \(\log a^b=b\log a\) to move the exponent down:

\(\log(32,768)=\log 2^{2m+3},\\\log (32,768)=(2m+3)\log 2\)

Divide both sides by \(\log2\):

\(2m+3=\frac{\log (32,768)}{\log(2)}\)

Subtract 3 from both sides:

\(2m=\frac{\log (32,768)}{\log(2)}-3\)

Divide both sides by 2:

\(m=\frac{\log (32,768)}{2\log(2)}-\frac{3}{2}=\boxed{6}\)

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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a) -43, -12, -1 1/2

b) 1 1/2. 12, 43

c) it is different

a) -1 1/2, -12, -43

from the least to the greatest:

The higher a negative number , the lesser the value of the number

-43, -12, -1 1/2

b) The absolute values of -1 1/2, -12, -43:

1 1/2, 12, 43

absolute values from least to greatest:

1 1/2. 12, 43

The order of the rational numbers in part (a) is different from the order of the numbers' absolute values in part (b)

c) Absolute values of a negative number gives a positive number. The higher a posititve number, the greater its value. While a higher negative number has a lower value. This makes the result in ordering the data different

Answer:

Step-by-step explanation:

cheetah runs 60 miles/hour

lion runs 50 miles/hour

answer A

Answer:

A. the cheetah is faster by 10 miles

Step-by-step explanation:

If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.

Answer:

D. $56.94

Step-by-step explanation:

52 * 0.095 = 4.94

Add $52 + $4.94

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer

y= 1/6x -2.3

Step-by-step explanation:

hope this helps :)

The slope of the line passing through (-4, -3) and (14, 0) is 1/6.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line passing through (-4, -3) and (14, 0) is:

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}\)

The slope of the line passing through (-4, -3) and (14, 0) is 1/6

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The category in the Excel Options dialog box that contains the option to change the user name is "General".

In the Excel Options dialog box, the category that contains the option to change the user name is the General category.

Excel graphing methods, Go to Insert > Line after selecting the data. The type of line chart you want may be chosen from a dropdown menu that appears when you click the icon.

We'll use the fourth 2-D line graph (Line with Markers) for this illustration. Your line graph for the chosen data series will be added by Excel.

What are the primary three graphs?

How to Use Graphs in Science

Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph may be used to display a certain kind of data.

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The probability of getting exactly two heads when three coins are tossed is 25%, and the probability of getting one heads and one tail when three coins are tossed is 37.5%.

The probability of getting exactly two heads when three coins are tossed is 1/4 or 25%. This can be calculated using the formula for probability of an event: P(E) = Number of favorable outcomes / Total number of outcomes. In this case, the favorable outcome is two heads, and the total number of outcomes is 8 (2^3) since each coin has two possible outcomes (head or tail). So P(E) = 1/8 = 0.125 = 25%.

The probability of getting one heads and one tail when three coins are tossed is 3/8 or 37.5%. This can be calculated using the same formula as above. In this case, the favorable outcome is one heads and one tail, and the total number of outcomes is 8 (2^3). So P(E) = 3/8 = 0.375 = 37.5%.

The probability of getting exactly two heads when three coins are tossed is 25%, and the probability of getting one heads and one tail when three coins are tossed is 37.5%.

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Answer: number 2 is a obtuse angle and number 3 is a right angle

Answer:

There are 35 students in his class.

Step-by-step explanation:

1. Create a proportion: 60/100=21/x

2. Cross multiply, or not (I prefer to cross multiply). 60x=2100

3. Solve the equation: x=35.

Answer: There are 35 students in his class, 14 people going in school, 21 student online.

Answer:

(Down Below)

Step-by-step explanation:

Plug in the value of x in the left column for all the values in the equation. I will do a couple for you.

Since -4 is the value of x, substitute it into the equation for x.

\(y= -4-5=-9\)

-1

\(y=-1-5=-6\)

0

\(y=0-5=-5\)

You can do the rest. You got this! Comment if you need more help!

Answer:

y = -4 - 5 = -9

y = -1 - 5 = -6

y = 0 - 5 = -5

y = 2 - 5 = -3

y = 5 - 5 = 0

y = 8 - 5 = 3

The table represents a nonlinear function because both the slope and common difference are not constant.

Based on the pattern in the table, the commission of selling 5 cell phone plans is 600.

In Mathematics, a linear function is a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases or decreases simultaneously.

Therefore, this table does not represent a linear function because the slope isn't constant and the common difference is not constant between successive data points.

When x = 5 cell phone plans, y is given by;

y - 400 = 200

y = 600.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Not enough information to answer the question, need the graph to solve it

The study by the National Institutes of Health suggests that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will affect the demand for chocolate.

This finding will increase the demand for chocolate. The determinant of demand being affected is consumer preferences or tastes. The study provides evidence that regular consumption of chocolate can reduce the risk of Alzheimer's Disease, which is likely to influence consumers' preferences and increase their desire to consume chocolate.

Graphically, the demand curve for chocolate will shift to the right, indicating an increase in demand. The original equilibrium quantity and price are marked on the graph with a regular pencil. Using a colored pencil, the new equilibrium quantity and price are marked similarly. The new equilibrium quantity will be higher, and the new equilibrium price will depend on the relative magnitude of the shift in demand compared to any changes in supply.

As the demand for chocolate increases, assuming the supply remains unchanged, there will be a new equilibrium where the quantity demanded matches the quantity supplied at a higher price. This is because the increased demand puts upward pressure on prices as consumers are willing to pay more for chocolate.

The market adjustment process begins with a shortage of chocolate at the original equilibrium price after the effect. The increased demand exceeds the original supply, resulting in a situation where consumers are willing to buy more chocolate than is available.

In response to this shortage, suppliers observe an increase in inventories at the original price. This encourages suppliers to increase their production of chocolate to meet the rising demand. As suppliers increase their production, the available quantity of chocolate in the market gradually increases.

The increased supply from suppliers helps alleviate the shortage, and as the quantity supplied catches up with the quantity demanded, the market moves toward a new equilibrium. The new equilibrium is reached at a higher price and a higher quantity, reflecting the increased demand for chocolate.

These actions by suppliers to increase their production and meet the rising demand affect consumer purchases by making more chocolate available in the market. As the supply increases, consumers are able to purchase more chocolate at the new equilibrium price. The increased availability of chocolate satisfies the higher consumer demand resulting from the study's findings, allowing consumers to benefit from the potential health benefits of regular chocolate consumption.

Overall, the study suggesting that chocolate reduces the probability of getting Alzheimer's Disease if eaten regularly will positively impact the demand for chocolate, leading to a new equilibrium with a higher price and quantity.

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Answer:

36

Step-by-step explanation:

A metal rod is 3/4 meters long. It will be cut into pieces that are each 1/48 meters long. How many pieces will be made from the rod?

let n = number of pieces the rod would be cut into

the following equation can be used to represent the question

3/4 x 1/n = 1/48

divide both sides of the equation by 3/4

1/n = 1/48 ÷ 3/4

1/n = 1/48 x 4/3 = 1/36

n = 36 rods

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

Answer:

1. -1

2. 3

3. (2, 5)

Step-by-step explanation:

y axis is |

x axis is _

A intersects the y axis at -1

B intersects the y axis at 3

A and B intersect at (2, 5) because the x value is 2 because it goes right twice and the y value is 5 because it goes up 5 and theres the point of intersection

Answer:

6 dimes 18 nickels

Step-by-step explanation:

x3 and 1.50

The given series converges, and the value of the integral is finite.

The Integral Test is a method used to determine the convergence or divergence of an infinite series by comparing it to the convergence or divergence of an improper integral. If the integral associated with the series is finite, then the series converges. If the integral is infinite or undefined, then the series diverges.

In this case, we have the series ∑(1+n)/(4n) from n = 1 to infinity. To apply the Integral Test, we consider the integral of the function 1+x/4x with respect to x from 1 to infinity.

Evaluating the integral ∫(1+x)/(4x) dx from 1 to infinity, we find that the integral is finite, indicating that the series converges.

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Answer: 25 in.

Step-by-step explanation:

A = bh

A = 5 x 5

A = 25

Answer:

c. equally likely events

Answer:

it will be -10/-2 which will get you a slope of positive 5 since the negatives cancel out with each other

Step-by-step explanation:

Answer:

Its an up slope function that measures up to 10 apart diagonal. Also, I included a picture.

hope this helps!

The equation of the line found is:

y = 3x + 1.

Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.

Linear equation:

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.

The equation of a line is given by:

y = mx + b

In which:

m is the slope, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

From the table, when x =0 and y =1 , thus b = 1.

When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7  , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.

The equation of the line is:

    y = 3x + 1.

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