A hot air balloon rises 150 feet every 5 seconds. Which equation represents the relationship between time and height? A. y = 5x + 150 B. y = 30 x C. y = 150 x D. y = 50x​

Answer:

Step-by-step explanation:

To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.

1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.

2). Join the point of intersection of these arcs to A and B with the help of a straightedge.

3). Hence an equilateral triangle (with all equal sides) is constructed.

Answer: it's 7.

Step-by-step explanation:

Answer: D 353

Step-by-step explanation:

you can do it on math calculus calulator

The expression is represented as 5x - 44

Algebraic expressions are simply described as expressions that are composed of terms, coefficients, constants, factors, and variables.

Algebraic expressions are also known to be composed of mathematical operations.

These operations are given thus;

From the information given, we have that;

difference when (2x-6) is subtracted from (7x-50

This is represented as;

7x - 50 - (2x - 6)

expand the bracket

7x - 50 - 2x + 6

collect the like terms

5x - 44

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The sample standard deviation of the given data set is 0.2.

The given data set is 3, 4, 2, 3, 1, 5, and 4.

We need to find the sample standard deviation of the given data set.

Standard deviation measures the spread of data distribution. It measures the typical distance between each data point and the mean.

The formula we use for standard deviation depends on whether the data is being considered a population of its own, or the data is a sample representing a larger population.

If the data is a sample from a larger population, we divide by one fewer than the number of data points in the sample, n-1.

\(S_{x}=\frac{\sum(x_{i}-\bar{x} )^{2}}{n-1}\)

Now, \(\bar{x}=\frac{3+4+2+3+1+5+4}{7}=\frac{22}{7}= 3.14\)

\({\sum(x_{i}-\bar{x})\)=\((3-3.14)+(4-3.14)+(2-3.14)+(3-3.14)+(1-3.14)+(5-3.14)+(4-3.14)\)

=-0.14+1.14-1.14-0.14-2.14+2.14+1.14

\(S_{x}=\)(1.14)²/6

=0.2166≈0.2

Therefore, the sample standard deviation of the given data set is 0.2.

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Answer:

7/10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

since they are both negative when you cross multiply it will become positive.

1×7=7

5×2=10

The weights of newborn infants at a certain hospital are considered continuous variables. Continuous variables can take on any value within a certain range.

In the case of newborn infant weights, the weight can be measured with precision to any decimal point, allowing for a continuous scale of measurement.

Unlike discrete variables, which have specific distinct values, such as whole numbers, the weight of newborn infants can vary continuously. Infants can have weights such as 2.567 pounds, 5.342 pounds, or any value in between.

Therefore, the weights of newborn infants at a certain hospital are classified as continuous variables due to their ability to vary continuously within a given range.

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When two variables are inversely proportional we can represent them in the following manner:

Where "a" would be the constant of proportionality. In the case of our problem the y is inversely proportional to the square of "x", this means that the correct expression is:

We need to find the value of "a", to do that we will apply the ordered pair which was given to us (17,8).

Therefore the expression to this problem is:

We want to find the value of "y" when "x" is equal to 14, therefore:

The value of "y" is 11.8

Answer:

$95,160

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given values:

Substitute the given values into the formula to calculate how much interest the account accrued in 4 years:

\(\implies \sf I=61000 \cdot 0.14 \cdot 4\)

\(\implies \sf I=8540 \cdot 4\)

\(\implies \sf I=34160\)

Therefore, the account accrued $34,160 of interest in 4 years.

To find how much Isabella will have in total after 4 years, add the principal to the interest:

\(\implies \sf A=61000+34160\)

\(\implies \sf A=95160\)

Therefore, Isabella will have a total of $95,160 in 4 years.

Answer:

Step-by-step explanation:

it is either Graph A or B pick one of them

Answer:

Graph D is correct

Step-by-step explanation:

if you choose a point, let's say 0,0 and plug in the values for x and y, you'll get

\(0 \leqslant - 2\)

Since this equation isn't true, 0,0 can't be filled.

to choose between graphs c and d, you look at the line and because c is dotted, it means it isn't solution. because your sign is less than or equal to, the line has to be solid.

therefore, graph d is the correct answer

Answer:

f(-2) = -1

Step-by-step explanation:

f(x) = -x^2 + 3

f(-2) means when x is -2

Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1

Answer:

5,386,830

Step-by-step explanation:

Answer:

d.11-x<-18

put the value of x in inequality and identify.

When using the elimination method to solve, what would be a possible first step in the process is to write the equations in standard forms.

The elimination method is a method used in  solving a pair of simultaneous linear equations  by reducing one equation to one that has only a single variable.

This method is called the Gaussian elimination method.

The steps in the Gaussian elimination method are;

Hence, the step is writing the equations in standard forms.

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The first step in solving this equation by using elimination is to multiply

(4x – 2y = -4) *2

(2x + y = 4)*4

8x – 4y = -8

8x + 4y = 16

Answer:

Answers actually (1,3)

Step-by-step explanation:

Just took the test on edge

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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Answer:

brainlist pls

Step-by-step explanation:

mom give me brainlist pls mama pls brainlist pllsssssss

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

x=4

Step-by-step explanation:

here's our equation: 3x=x+8

Our goal: to isolate x onto one side with nothing else on that side.

x is on both sides; we can subtract x from both sides to make the variables and numbers be on different sides

2x=8

Now we can divide by 2

x=4

Hope this helps! :)

3x = x + 8

Step 1: Subtract x from both sides.

3x−x=x+8−x

2x=8

Step 2: Divide both sides by 2.

2x /2  =  8 /2

x = 4

Answer:

x = 4

Answer:

Step-by-step explanation:

Since 5.7 calories are burned in one minute, we have that:

Then, if a person walks for 42 minutes, then they would burn exactly 239.4 calories.

So, a 150-pound person must walk for at least 43 minutes in order to use at least 240 calories (The answer is actually 42.105... but if we round down it to 42, that person would burn less than 240 calories. That's why it is better to round up).

Ayana's car was at the shop for 38 minutes for the oil change.

Here we are given that Ayana dropped her car at the shop at 19 minutes to noon for an oil change.

When the time is said with the word "to", it means that we need to subtract the minutes from hours to get the actual time.

Therefore, 19 minutes to noon would be

12 : 00 - 19 minutes

= 11 : 41 a.m

Now, she picked her car up 29 minutes past noon. Since the word past has been used, we need to add up the hours and minutes mentioned hence we get

12 : 00 + 19 minutes

= 12 : 19 p.m

Now we need to find the time the car was at the shop. For this, we will subtract the time the car came in the shop from the time at which the car left the shop.

Hence we get

12 : 19 - 11 : 41

Now clearly, 19 > 41, hence we will carry over 60 mnutes from the hoyrs to get

11 : 79 - 11 : 41

= 38 minutes.

Hence, Ayana's car was at the shop for 38 minutes for the oil change.

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Answer:

168.5 meters is the horizontal distance covered

Step-by-step explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

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The slope of function f(x) is of -1, while the slope of function g(x) is of zero. Thus, the function g(x) has a greater slope.

Given a table of values, the slope of a linear function is given by the rate of change of the output variable y relative to the input variable x.

From the table of function f(x), we have that when x increases by 2, y decays by 2, hence the slope of the function is given as follows:

m = -2/2 = -1.

From the graph, the slope is also given by the change in y divided by the change in x.

The graph at the end of the answer shows a constant line, meaning that y remains constant even when x changes, thus the change in y is of zero, meaning that the slope of function g(x) is of zero.

The graph of function g(x) is given by the image shown at the end of the answer.

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If the number of bacteria doubles every 234 hours, we can use the exponential growth formula to find the population at a future time t:

N(t) = N0 * 2^(t/T)

where N(t) is the population at time t, N0 is the initial population, T is the doubling time (234 hours in this case), and t is the time elapsed.

We are given that the initial population is 15,500 bacteria. We want to find the population 936 hours from now. Therefore, we can substitute the values into the formula:

N(936) = 15,500 * 2^(936/234)

N(936) = 15,500 * 2^4

N(936) = 15,500 * 16

N(936) = 248,000

Therefore, the population of bacteria in the colony will be 248,000 after 936 hours.

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