Andrea has to find a third point, C, to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point, C', across the x-axis are (2, -2) What are the coordinates of point C?​

Answer: The amount borrowed or deposited

Step-by-step explanation:

there isn't really an explanation, I just know the answer because I took a test with the exact same question and answer

Option C is correct, The difference between the future value and the amount of interest earned is the present value of money

percentage, a relative value indicating hundredth parts of any quantity.

The present value of money refers to the value of a future amount of money in today's dollars, based on a certain interest rate or discount rate.

It is the amount of money that would need to be invested today, at a given rate, to equal the future amount.

To calculate the present value of a future amount of money, we need to discount the future amount based on the interest rate or discount rate, which accounts for the time value of money

The difference between the future value and the amount of interest earned.

Hence, option C is correct, the difference between the future value and the amount of interest earned is the present value of money

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Answer:

DE = 6 cm

Step-by-step explanation:

The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:

CE × DE = AE × BE

4 × DE = 8 × 3

4 × DE = 24
DE = 6 cm

Hope this helps!

So the simplified expression of the expression given in the question is: 1.17 - 3.99a

To simplify the expression, we can combine the like terms, which are terms with the same variable and exponent. Starting with the first two terms: 1.17 - 0.07a. The next two terms are the opposite of each other, so we can add them: 1.17 - 0.07a + (-3.92a) = 1.17 - 0.07a - 3.92a. Finally, we can simplify the expression by combining the like terms, which are terms with the same variable: 1.17 - 0.07a - 3.92a = 1.17 - (0.07 + 3.92)a = 1.17 - 3.99a. So the simplified expression is: 1.17 - 3.99a

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Complete Question

Combine like terms to simplify the expression:

1. 17 − 0. 07 + ( − 3. 92 )  1. 17−0. 07a+(−3. 92a)

Answer:

Lower Quartile = 13 min; Upper Quartile = 27 min

Step-by-step explanation:

Since we have the median, we now separate the data equally to the left and right of the median.

Thus, on the left (lower) portion we have 10, 11, 13, 18, and 19.  We see 13 is the middle term of these 5 values so 13 is the lower quartile (Q1).

Similarly, one the right (upper) portion, we have 22, 25, 27, 30, and 32.  We see 27 is the middle term of these 5 values so 27 is the upper quartile (Q3)

Answer:

39

Step-by-step explanation:

165 and 3/4 is equal to 165.75 and 4 and 1/4 is 4.25

165.75/4.25=39

39 uniforms could be made

The value of  m∠ABD is equals to  125 degrees.

Rectangle can be defined in which opposite sides are equal.

AC and BD are diagonals of the rectangle ABCD.

Angle ABD is adjacent to angle 1 and angle ABO, where O is the intersection of diagonals AC and BD.

We know that m∠1 = 55, and we can find m∠ABO using the fact that the diagonals of a rectangle bisect each other. Since angle AOB is opposite to side AB, which is congruent to side CD, we have:

m∠ABO = 180 - m∠AOB

= 180 - (180 - m∠1) / 2

= 180 - (180 - 55) / 2

= 62.5

Therefore, we can find m∠ABD by adding m∠ABO and m∠DBO, where DBO is congruent to ABO:

m∠ABD = m∠ABO + m∠DBO

= m∠ABO + m∠ABO

= 2m∠ABO

= 2(62.5)

= 125

Hence, The value of  m∠ABD is 125 degrees.

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Answer:

y = 2x -14

Step-by-step explanation:

The point-slope form is y =  mx + b

m = 2

y-intercept is located at (0, -14)

So, the equation is

y = 2x - 14

Answer:

y-6=2(x-4)

Step-by-step explanation:

point-slope form y-y1=m(x-x1)

Answer:

Let a be the first term and d be the common difference.

3rd term = 1407

a+2d = 1407  ------- 1

10th term = 1183

a+9d = 1183  ------- 2

By solving 1 and 2, a = 1471 and d = -32

so the general term T(n) = 1471 + (n-1)(-32)

                                          = 1471 - 32n +32

                                          = -32n + 1503

-32n + 1503 [tex]\geq[/tex] 0

            -32n [tex]\geq[/tex] -1503

                  n [tex]\leq[/tex] 46.96875

The number of positive terms = 46

Greta feeds Lizzy 56 crickets when she feeds Draco 77.

Proportion, in general is referred to as a part, share or number considered in comparative relation to a whole.

According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b

Given:

For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Let solve it by an equality

[tex]\frac{11}{8} = \frac{77}{x}[/tex]

We want to solve for x.

We can do so by finding how much larger the second fraction is than the first.

In this case, 77 is 7 times larger than 11.(77/11 = 7)

So, we know that x must be 7 times larger then 8( because the fractions are proportinal)

Since x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 i s56

56 crickets for Lizzy.

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x is 7 times larger than 8, we can use 7 times 8 to find the value, 7 times 8 is 56. Greta feeds Lizzy 56 crickets while she feeds Draco 77.

What is the Proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.

According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b

Given:

For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Let solve it with an equality

11/8 = 77/x

We want to solve for x.

We can do so by finding how much larger the second fraction is than the first.

In this case, 77 is 7 times larger than 11.(77/11 = 7)

So, we know that x must be 7 times larger than 8( because the fractions are proportional)

Hence, x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 is 56.

56 crickets for Lizzy.

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Answer:

-2,-4,-8,-16

common ratio of geometric sequence shown is -2

this sequence is in the decreasing form.

the next number in this sequence is -32

I hope that helps.

Probability the player two have more lands in hand than player one is:

A) 0.0135

B) 0.102

What is probability?

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Here, we have

Given: each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand.

A ) probability of each player having four lands in their hand

Given data:

player 1 has 10 land cards

player two(2) having 20 land cards

Hence, the probability can be calculated as

= 0.0135

B) probability of player one having  two lands and player two having three lands in hand

Given data:

player one (1) has 10 land cards

player two has 20

Hence, the probability of player one having  two lands and player two having three lands in hand   can be calculated as attached below

= 0.102

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Answer:

7

Step-by-step explanation:

f(-3)

f(x) = -4x-5

f(-3) = -4(-3) - 5

f(-3) = 12 - 5

f(-3) = 7

The probability that the next report will weigh less than 45g is approximately 0.1056 or 10.56%. We can use the standard normal distribution to find the probability that the next report will weigh less than 45g.

z = (x - mu) / sigma

where z is the standard score, x is the value we want to standardize (45g), mu is the mean (60g), and sigma is the standard deviation (12g).

Substituting the given values, we get:

z = (45 - 60) / 12

z = -1.25

Next, we use a standard normal distribution table (or a calculator) to find the cumulative probability of z being less than -1.25. This gives us:

P(z < -1.25) = 0.1056

Therefore, the probability that the next report will weigh less than 45g is approximately 0.1056 or 10.56%.

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Answer:

The height of an equilateral triangle can be found using the Pythagorean theorem by treating it as a 30-60-90 triangle. In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2. In this case, the side length of 3 cm is the shorter leg, so the height (the longer leg) is 3√3 cm. Rounding to 1 decimal place, the height is approximately 5.1 cm.

The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

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Answer:

[tex]10^{1}[/tex]

Step-by-step explanation:

13 + 9 - 1 - 11

Add 13 and 9 to get 22.

22 - 1 - 11

Subtract 1 from 22 to get 21.

21 - 11

Subtract 11 from 21 to get 10.

10

The total number of cows is given by the equation c = 182 cows and the total number of legs of cows is n = 728 legs

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total number of cows and goats = 452

So , c + g = 452   be equation (1)

And , ( 5/7 )c = ( 13/27 )g

On simplifying the equation , we get

c = ( 13 x 7 ) / ( 5 x 27 ) g

c = ( 91/135 )g   be equation (2)

Substituting the value of c in equation (1) , we get

( 91 / 135 ) g + g = 452

On further simplification , we get

( 91 + 135 ) / 135 g = 452

( 226 / 135 ) g = 452

Divide by 226 on both sides of the equation , we get

( 1/135 )g = 2

Multiply by 135 on both sides of the equation , we get

g = 270 goats

Now , the number of cows = 452 - 270 = 182 cows

The number of legs = 182 x 4 = 728 legs

Hence , the number of cows is 182 cows

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Answer:

2

Step-by-step explanation:

Amy +3

Ray -4

Kim -2

Jammel +5

So,

3 - 4 - 2 +5 = ?

Answer is 2 points.

Range of the function shown by the graph is (-∞ , ∞)

Range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest.

The range is the set of possible output values, which are shown on the

y -axis.

Given,

Graph of a function,

Range represents the y-coordinate of the function.

By the graph,

Range of the function is -∞ < y < ∞.

In interval notation,

Range = (-∞ , ∞)

Hence, (-∞ , ∞) is the range of the function shown by the graph.

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Answer:

Step-by-step explanation:

The equation connects m and n.

Suppose n=1,

m=3/1=3.

If n=2,

m=3/2=1.5

If n=3,

m=3/3=1. This shows that as n increases, m decreases.

If m was equal to 1,

1=3/n

Thus n=3.

If m=2,

2=3/n

n=1.5

If m=3,

3=3/n

n=1.

This also shows that as m increases, n decreases.

Hope this helps :)

Answer:

When I increased n, m decreased.

When I increase m, n decreases

Step-by-step explanation:

Let's say that m is one and n is 3

1 = [tex]\frac{3}{3}[/tex]  Us this as our base to compare increasing m and n.

Increase n to 6

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]

When I increased n, m decreased.

Increase m to 3

3 = [tex]\frac{3}{1}[/tex]

When I increase m, n decreases

The regression equation is  y = x - 10.4

Homework grade (x) =   41

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

From the table,

We have  ∑X = 488,  ∑Y =439,  ∑XY = 31458, ∑X² = 34834, n=7

Standard linear equation is y= a+bx

a= [ ∑Y × ∑X² - ∑X ×  ∑XY ]/ [ n × ∑X² - ( ∑X)² ]

On substituting and simplifying , we get a= -10.4

b= [ n ×  ∑XY - ∑X × ∑Y ] / [ n × ∑X² - ( ∑X)² ]  

On substituting and simplifying , we get b ≈  1

The regression equation is  y = x - 10.4

Given test grade y=31

We have 31=x-10.4  =>  x= 41.4

Nearest integer is 41

Homework grade (x) =   41

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The factory sales of electronic goods from a certain country to dealers from 1990 to 2001 can be modeled using a mathematical equation .

Modeling factory sales of electronic goods from a certain country to dealers from 1990 to 2001 involves creating a mathematical equation to represent the data . To begin, one must collect the data from the sales of electronic goods from the given country to dealers from 1990 to 2001. This data should include the total amount sold for each year. Once the data is collected it must be organized into a visual representation, such as a line graph or a scatter plot. The visual representation should then be examined for patterns in the data which can be used to create a mathematical equation. This equation should be able to accurately describe the data and be able to predict future data points. The equation should then be tested to ensure accuracy before it is used to model the factory sales data.

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If repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

If Dave can choose from 9 different colors for each of his 5 cats, then he has 9 choices for the first cat, 9 for the second cat, and so on. To find the total number of possible selections, we can multiply the number of choices for each cat together:

9 x 9 x 9 x 9 x 9 = 59,049

In this case, there are 9 ways to choose the collar color for the first cat. Since Dave can choose from the same 9 colors for each of the 5 cats, so he has 9 choices for each cat. Therefore, by the principle of counting, the total number of ways to choose collars for all 5 cats is:

Therefore, if repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

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Answer:  [tex]5\sqrt{5} \ \text{ feet}[/tex]

Work Shown:

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+10^2}\\\\c = \sqrt{125}\\\\c = \sqrt{25*5}\\\\c = \sqrt{25}*\sqrt{5}\\\\c = 5\sqrt{5}\\\\[/tex]

For more information, search out "pythagorean theorem".

The work required to stretch the spring from its natural length to a distance of 9 inches beyond its natural length is 2.25 lb-ft.

The problem involves calculating the work required to stretch a spring from its natural length to a distance of 9 inches beyond its natural length, given that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length.

To solve the problem, we use the formula for the work done by a force that varies with distance, which is given by:

W = (1/2) k (x2^2 - x1^2)

where W is the work done, k is the spring constant, x1 is the initial distance, and x2 is the final distance.

In this case, the initial distance is the natural length of the spring, which is 0 ft, and the final distance is 9/12 ft. To find the spring constant, we use the fact that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length, which gives us:

192 = k * 3

Solving for k, we get k = 64 lb/ft.

Substituting the values into the formula, we get:

W = (1/2) * 64 * (9/12)^2

Simplifying, we get:

W = 2.25 lb-ft

This calculation shows how the work done by a force that varies with distance can be calculated using the spring constant and the distances involved.

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Using trigonometric ratio, the height of the pole is approximately 60 feet

The angle of elevation is the angle between the horizontal and a line from the observer to a point above the horizontal. In other words, it is the angle between the ground and the line of sight to an object above the ground.

Using trigonometric ratio to solve the angle of elevation problem, the height of the pole can be calculated using the tangent of the triangle.

tanθ = opposite / adjacent

tan 55 = x / 42

x = 42 * tan 55

x = 59.98 ft≅ 60 feet

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Rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.

What is  whole number?

A whole number is a positive integer that doesn't include any fractional or decimal component. Whole numbers include positive integers such as 0, 1, 2, 3, 4, and so on. Whole numbers do not include fractional numbers or decimals, such as 0.5, 1.7, and so on. Whole numbers are used to count items or represent discrete quantities, such as the number of people in a room or the number of apples in a basket.

If the prediction that magazine subscriptions will drop by 10% each year is correct, then in 10 years the number of subscribers for a magazine with 98000 subscribers will be:

98000 * (1 - 0.10)^10 = 98000 * 0.3548 = 34638 subscribers

So, rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.

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