For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e? e ≥ 50 or e ≤ 100 e > 50 or e < 100 50 < e < 100 50 ≤ e ≤ 100

1) The two column proof for ΔLMN ≅ ΔLON is as developed below.

2) The  two column proof for ΔGHJ ≅ ΔKLM is as developed below

A two-column proof is defined as a geometric proof that consists of a list of statements, and then the reasons that we know those statements are deemed to be true.

1) The two column proof showing that ΔLMN ≅ ΔLON is;

Statement 1: LN bisects ∠MLO and LM ≅ LO

Reason 1: Given

Statement 2: MN ≅ ON

Reason 2: Line segment bisector

Statement 3: ∠MLN ≅ ∠OLN

Reason 3: def. of angle bisector

Statement 4: LN ≅ LN

Reason 4: Reflexive property of congruence

Statement 5: ΔLMN ≅ ΔLON

Reason 5: SSS Congruency postulate

2) The two column proof is as follows;

Statement 1: ∠G ≅ ∠K, ∠J ≅ ∠M

Reason 1: Given

Statement 2: ∠H ≅ ∠L

Reason 2: 3rd angle theorem

Statement 4: ΔGHJ ≅ ΔKLM

Reason 4: ASA Congruency Postulate

Read more about two column proof at; https://brainly.com/question/1788884

#SPJ1

Average rate of growth over this period is 0.4%.

Average rate of growth over a period is given by:

A=P[tex]e^{rT}[/tex] where,

A- Population at time T

P- Initial population

r-average rate of growth

T-Time period

Now, P=250,000, A=310,000 and T=21 (2000-1980+1)

therefore, putting values in the equation, we get:

310,000=250,000[tex]e^{21r}[/tex]

⇒ [tex]e^{21r}[/tex] = 1.24

⇒ 21r = log(1.24)

⇒ r = 0.0044 or 0.4%.

so, the average rate of growth over this time period is 0.4%.

To know more about Average rate of growth,

visit; brainly.com/question/13743445

#SPJ4

Answer:

Step-by-step explanation:

The initial height of the rocket before it is launched can be found by evaluating the function h(t) at t=0. To do this, you can substitute 0 for t in the function:

h(0) = -5(0)² + 42(0) + 54

h(0) = 0 + 0 + 54

h(0) = 54

Therefore, the initial height of the rocket before it is launched is 54 meters.

Answer: 54 meters.

Step-by-step explanation: The initial height of the rocket before it is launched is represented by the constant term in the quadratic function, which is 54. This means that the rocket's height at time t = 0 (before it is launched) is 54 meters.

To confirm this, you can plug in t = 0 into the quadratic function to get:

h(0) = -5(0)² + 42(0) + 54 = 54 meters

This means that the initial height of the rocket before it is launched is 54 meters.

Answer:

(2½,1)

Step-by-step explanation:

(-1+6/2,5+-3/2)

(5/2,2/2)

(2½,1)

Answer:

the coordinates of the other corner are (-10/3, -1 3/4).

The four ordered pairs that represent the corners of Maya's rectangular driveway are (-1, 1), (1 1/2, -8 1/2), (-10/3, -1 3/4), and (1 1/2, -1 3/4).

Step-by-step explanation:

To plot the other two corners of Maya's rectangular driveway, we need to determine the coordinates of the points that are diagonally opposite to the points (-1, 1) and (1 1/2, -8 1/2).

Since the points (-1, 1) and (1 1/2, -8 1/2) are diagonally opposite, we can draw a line through the center of the rectangle that is perpendicular to the line connecting these two points. The center of the rectangle can be found by averaging the x-coordinates and the y-coordinates of the two points. The x-coordinate of the center is (-1 + 1 1/2)/2 = 1/4 and the y-coordinate of the center is (1 + -8 1/2)/2 = -3 3/4.

We can then use the center of the rectangle and the slope of the line connecting (-1, 1) and (1 1/2, -8 1/2) to find the coordinates of the other two corners. The slope of the line is (-8 1/2 - 1)/(1 1/2 - (-1)) = -17/3, so the slope of the line perpendicular to it is -3/17.

We can use this slope and the center of the rectangle to find one of the remaining corners by moving a fixed distance in the y-direction from the center. For example, if we move 2 units in the positive y-direction from the center, we will reach the point (1/4, -3 3/4 + 2) = (1/4, -1 3/4). We can then use the slope of the line to find the x-coordinate of the other corner by solving the equation y = mx + b for x, where m is the slope, x is the x-coordinate of the corner, y is the y-coordinate of the corner, and b is the y-intercept. The y-intercept is the y-coordinate of the center, so we can solve the equation as follows:

y = -3/17 * x + (-3 3/4)

x = (y - (-3 3/4))/(-3/17)

Substituting the coordinates of the corner we found earlier, we get:

x = (-1 3/4 - (-3 3/4))/(-3/17) = (2)/(-3/17) = -10/3

So, the coordinates of the other corner are (-10/3, -1 3/4).

The four ordered pairs that represent the corners of Maya's rectangular driveway are (-1, 1), (1 1/2, -8 1/2), (-10/3, -1 3/4), and (1 1/2, -1 3/4).

The equation of the line that is parallel to given line is y = 4x + 12

Parallel lines have an equal slope. The slope of parallel lines is identical because they are all equally inclined with respect to the positive x-axis.

If m₁ and m₂ are slopes of parallel lines then => m₁ = m₂

Here we have  

A line is parallel to y = 4x + 11 ---- (1)

The given line is in form of y = mx + c  [ where slope of line = m ]

On comparing both lines, Slope given line = 4

Let the required line with slope m₁ is y = m₁x + c --- (2)

As we know slope of parallel lines are equal or same  

=> Slope of line (2), m₁ 4

Line (2) => y = 4x + c

Given that the line passes through (-2, 4)

=> 4 = 4(-2) + c

=> 4 = -8 + c

=> c = 12

Therefore,

The equation of the line that is parallel to given line is y = 4x + 12

Learn more about Parallel lines at

https://brainly.com/question/16701300

#SPJ1

The value of x for the expression is equal to -5 and -2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the logarithmic expression is log₂ (x+4) + log₂ (x + 3) = 1. The value of x will be calculated as,

log₂ (x+4) + log₂ (x + 3) = 1

log₂ { (x+4)(x + 3) } = 1

x² + 7x + 12 = 2

x²+ 7x + 10 = 0

Solve the above quadratic equation,

x²+ 7x + 10 = 0

x² + 5x + 2x + 10 =0

x ( x + 5 ) + 2 ( x + 5 ) = 0

(x + 5 ) ( x + 2 ) = 0

x  = -5 and -2

The values of x are -5 and -2.

To know more about an expression follow

https://brainly.com/question/3690159

#SPJ1

Answer: [tex]y \leq -\frac{x}{2}-\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]-x-2y \geq 7\\\\x+2y \leq -7\\\\2y \leq -x-7\\\\y \leq -\frac{x}{2}-\frac{7}{2}[/tex]

The decimal point is to be placed three places to the left.

What are decimal numbers?

When we divide a whole number into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.

Given that, in the question, the product of a decimal number between 350 and 400 and 0.48 results in the numbers 182136. As 0.48 is just 48/100, let's take a decimal number between 350 and 400.

If the number is 370.1, for example, we can write it as 3701/10 because it has one decimal point.

Our denominator will be 1000, because both the denominators are 100 and 10, which is equivalent three decimal places to the left of the result when we multiply 48/100 by 3701/10.

The result provided to us should therefore be written as 182.136, with the decimal point moved three spaces to the left.

The decimal point is to be placed three places to the left.

To know more about decimal numbers visit:

brainly.com/question/4708407

#SPJ1

Answer:

Well, nothing because you didn't say how much money you make a day, a week, or a month.

Step-by-step explanation:

You tried to trick me haha <3

Answer:

Step-by-step explanation:

• 12a - 2b - 4b - 15a + 2 (a = 0, b = 3)

→ apply the values

• 12x0 - 2x3 - 4x3 - 15x0 + 2

• 0 - 6 -12 - 0 + 2

→ use BODMAS formulae

• 0 - 6 - 12 - 2

= 0 - 6 - 10

→ zero wouldn't be counted so

- 6 - 10

(-) + (-) = (+) so:

= -16

Given that e1 and e2 have a high spearman correlation, what we can say about the Pearson correlation of e1 and e2 is; The Pearson correlation must be high

A correlation coefficient is defined as the measurement of the extent to which two variables tend to change together.

Now, the Pearson correlation is the type that evaluates the linear relationship that exists between two continuous variables. A relationship is said to be linear as a result of a change in one variable being associated with a proportional change in the other variable.

Meanwhile, the spearman correlation is one that evaluates the monotonic relationship between two continuous or ordinal variables.

If the relationship described above tells us that one variable increases when the other increases, but then the amount is not consistent, then it means that the Pearson correlation coefficient is positive but less than +1. However, the Spearman coefficient still equals +1 in this case.

Thus, we conclude that as the spearman correlation is high, then the Pearson correlation is also high.

Read more about Correlation Coefficient at; https://brainly.com/question/4219149

#SPJ1

Answer:

below

Step-by-step explanation:

9x^2-3x-10 = 0     Use quadratic Formula with a = 9   b = -3  and c = -10

to find the zeroes are   x = 1/6 ± sqrt (41) / 6

Answer:

j = 4

Step-by-step explanation:

calculate the slope of the line passing through the goven points and equate to 2

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, - 10 ) and (x₂, y₂ ) = (0, j )

m = [tex]\frac{j-(-10)}{0-(-7)}[/tex] = [tex]\frac{j+10}{0+7}[/tex] = [tex]\frac{j+10}{7}[/tex] then equating gives

[tex]\frac{j+10}{7}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )

j + 10 = 14 ( subtract 10 from both sides )

j = 4

The required original price of the coat is given as £95.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
let the original price of the coat be x,
According to the question
x - 17% of x = 78.85
x - 0.17x = 78.85
0.83x = 78.85
x = 78.85 / 0.83
x = £95

Hence, the cost of the coat before the sale is £95.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

Subtract 3

2y + 2xy – x + 4 from 9 - 7x + 3xy - 4

2y

Answer:

√192

Step-by-step explanation:

12 cos 30° + 2 tan 60°

Substitute the trig functions of the special angles.

12 (½√3) + 2 (√3)

Simplify.

6√3 + 2√3

8√3

Move under the radical.

√(8² · 3)

√192

Answer:

A.86

is the answer will show how it's solved if necessary on comment.

hope it helps!!!

Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.

Step-by-step explanation:

Perfect cubes are the numbers that are triple product of same number.

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

1+8+27+64 = 100

Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.

Explanation:

Perfect cubes are the numbers that are triple product of same number.

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

1+8+27+64 = 100

Answer:

$9,712.12 (nearest cent)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies A=9544\left(1+\frac{0.0525}{12}\right)^{12 \cdot \frac{1}{3}}[/tex]

[tex]\implies A=9544\left(1.004375\right)^{4}[/tex]

[tex]\implies A=9544\left(1.017615179\right)[/tex]

[tex]\implies A=9712.119269[/tex]

The balance of the account at the end of August will be $9,712.12 (nearest cent).

0-4 can be the domain of positive real numbers but can not be the domain of whole numbers.

Numbers an arithmetical value used in counting and calculating that is expressed as a word, symbol, or figure that represents a specific quantity.

Let's understand what is positive real numbers.

That is all the real numbers that are greater than or equal to zero.

real numbers are numbers which include both rational and irrational numbers.

whole numbers are positive integers that mean only positive integers.

that means 0-4 can be the domain of positive real numbers but can not be the domain of whole numbers because 0.5 and 0.6 these numbers are not whole numbers.

To know more about real numbers here:

https://brainly.com/question/551408

#SPJ4

The coordinates of Point E are (-4,2) and Point E is a reflection of point D across the X-axis.

Point E has the same y-coordinate as point D, which is 2. However, the x-coordinate of point E is the opposite of the x-coordinate of point D. The x-coordinate of point D is 4, so the x-coordinate of point E must be -4. Therefore, the coordinates of Point E are (-4,2).

As for the reflection, you can imagine a mirror placed on the x-axis (horizontally) and Point D and E being on the same side of that mirror.

Therefore, As Point D is reflected on the mirror, it will be flipped and the x-coordinate changes its sign and becomes -4. Therefore Point E is a reflection of point D across the X-axis.

Read more about coordinate

https://brainly.com/question/27749090

#SPJ1

See full question below

Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x- coordinate of point D. Drag tiles to complete the statements. (4,2) (4,-2) (-4,2) (-4,-2) X-axis y-axis The coordinates of Point E are --- &Point E  is a reflection of point D across the ---

The measure of one of the congruent base angles is 65°.

It's important to note that any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane. In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. A triangle has three sides, three angles and the sum of the angles equal 180°.

It should be noted that a triangle has 3 side, 3 angles and a sum of 180°.

In this situation, DEF is an isosceles triangle. If m∠D = (3x + 5)° , m∠E = (4x − 15)° and m∠F = (2x + 10)°.

The value will be illustrated thus:

3x + 5 + 4x - 15 + 2x + 10 = 180

Collect the like terms

9x = 180 - 5 + 15 - 10

9x = 180

x = 180 / 9

x = 20

The measure of one of the congruent base angles will be:

= 4x - 15

= 4(20) - 15

= 65°

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

it's B. 3,406 that the answer I now bye bye

Answer:

it's b

Step-by-step explanation:

the derivative of the expression will be f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))².

What is derivative?

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.

given expression p(x)= f(x)/1-f(x)

The derivative of the given expression will be

p'(x) = f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))²

Hence the derivative of the expression will be f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))².

Learn more about derivative, by the following link.

https://brainly.com/question/23819325

#SPJ1

The probability that a person has colon cancer given that they have a positive test result is approximately 0.98. The answer lies in the range [0.95, 1.00].

Let's call the probability that a person has colon cancer given that they have a positive test result "p". We can use Bayes' Theorem to find this probability.

Bayes' Theorem is: p(A|B) = (p(B|A) * p(A)) / p(B)

In this case, A is the event that the person has colon cancer, and B is the event that the person has a positive test result.

We are given that:

p(B|A) = 1 (all people who have colon cancer will have a positive test result)

p(B|~A) = 0.02 (2% of people who do not have colon cancer will have a positive test result).

We are also given that p(A) = 2/102 (2 out of 102 people who undergo routine screening have colon cancer) and p(~A) = 100/102 (100 out of 102 people who undergo routine screening do not have colon cancer).

Substituting these values into Bayes' Theorem, we get:

p(A|B) = (1 * (2/102)) / (1 * (2/102) + 0.02 * (100/102))

Simplifying, we get:

p(A|B) = 0.98

Learn more about probability, here https://brainly.com/question/11234923

#SPJ4

The length of the other leg is (c) √43

From the question, we have the following parameters that can be used in our computation:

Hypotenuse = 7

One leg = √6

The length of the other leg can be calculated using

The length of the other leg = √(Hypotenuse^2 - One leg^2)

So, we have

The length of the other leg = √(7^2 - √6^2)

Evaluate

The length of the other leg = √43

Hence, the length is (c) √43

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

Complete question

A right triangle has a leg length of √6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle.