An endangered species has 400 animals left in the wild. If the species is decreasing by 6.5% each year, how many animals are left after 4 years?

a. The two pentagons are congruent as the transformations they underwent were only translation and rotation, which are rigid motions.

b. The side lengths of ABCDE are given as follows:

The angle measures of FGHIJ are given as follows:

Congruence is only changed with a dilation, as the side lengths are changed.

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Answer:

j3jejej

jwjitygueiejjejrjejejrjrjtjjturuejdvr7uejfnfnnrkrjdvev4j

Answer:

c) S : {30}

So, it is correct answer.

Step-by-step explanation:

mental math be like :-)

The model represent here gives the division problem is 3÷1/4.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

We have three section 1+ 1 + 1= 3.

and, Each section have the fraction

= 4/12

= 1/3

so, the model represent here gives the division problem

3÷1/4.

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Step-by-step explanation:

could you answer to my question

I'll need more than I need help in a picture to answer your question

please answer to this with what you need help with I am only seeing a question which I do not know and what I need to focus

thank you for cooperating - yuri

Answer:

4.666667, or you can round it to 4.67, depends on what it's asking!

Step-by-step explanation:

The quotient means to divide, so 2/3 = 0.666667

0.666667 * 7 = 4.666667

Hope that helps.

A. The solution set of the system is {7, 3}

The elimination method is a method used to solve or find a set of solutions to a system of linear equations of two variables by eliminating one of the variables. If the variables are x and y, to determine the x variable we must first eliminate the y variable, or vice versa, if we want to find the y variable, we must first eliminate the x variable.

To eliminate a variable, it must have the same coefficient. So if the coefficients of the variables are not the same then first equate the coefficients by multiplying or dividing them. Then only can determine other variables that will be determined. So in the elimination method you need to eliminate the variable twice.

To eliminate y in order to find the value of x.

9x-y=60 (i) 9x-y=60

x+y=10 (ii) | times (-1)| -x-y= -10

___________ __________ _

10x=70

x=7

Substitute the value x=7 into equation (ii)

x+y=10

7+y=10

y=3

So the solution set is {7, 3}

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If the data below are represented by a comparative bar chart, the bar representing the following will be the tallest:

Cat Failed

The tallest bar of all of these will be the cat failed bar. A comparative bar chart is often designed to compare a set of observations.

From what we can see in the passage, it is clear that the bar chart representing the cat failed group contains the highest number and will likely have the tallest chart of all the others listed. So, the point is to look out for the observation with the highest number and the cat failed group meets the requirement.

Complete Question:

If the data below are represented by a comparative bar chart, the bar representing which of these will be the tallest?

Passed Failed

Cat. 24. 30

Dog 26. 28

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The required global maximum value is 4 and the global minimum value is 3.

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,

The critical points can be found by finding the partial derivatives of the function with respect to x and y and setting them equal to zero.

df/dx = 2x - 2y = 0

df/dy = -2x + 4y = 0

Solving the system of equations, we find that the critical points are (1, 2) and (2, 1).

Since (1, 2) is within the bounds of the rectangle D, we need to check the value of f(1, 2) to see if it is a local minimum or local maximum.

f(1, 2) = 1 - 2 + 4 = 3

(2, 1) is also within the bounds of the rectangle D, we need to check the value of f(2, 1) to see if it is a local minimum or local maximum.

f(2, 1) = 4 - 2 + 2 = 4

Since f(1, 2) < f(2, 1), the global maximum is at point (2, 1) and the global minimum is at point (1, 2).

The global maximum value is 4 and the global minimum value is 3.

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The linear approximation of f(1.07) using the tangent line is T(1.07) is 10.77, which is slightly lower than the actual value f(1.07) = 11.77.

First, we need to find the derivative of the function f(x) = x + 10x.

The derivative is given by:

f'(x) = 1 + 10

Next, we need to find the tangent line at the point (a, 6), which means we need to find the value of "a" that makes the tangent line pass through (a, 6). To do this, we use the equation of the tangent line:

y - 6 = (1 + 10)(x - a)

y = (1 + 10)(x - a) + 6

Now we need to use the value of "a" to find the value of f(a) and then use this to find the value of the linear approximation of f(1.07).

Let's assume that the value of "a" is 1.

So, f(a) = f(1) = 1 + 10(1) = 11

And the equation of the tangent line is:

y = (1 + 10)(x - 1) + 6 = 11x - 4

Now, to find the value of the linear approximation of f(1.07), we use the equation of the tangent line:

T(1.07) = 11 * 1.07 - 4 = 10.77

Finally, we compare this value with the actual value of f(1.07), which is:

f(1.07) = 1.07 + 10 * 1.07 = 11.77

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An equation of a line in a slope-intercept format that is parallel to

y = (1/2)x - 3 line and goes through the point (4, 2) is y = (1/2)x

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know parallel lines have equal slopes.

The equation of the line given is y = (1/2)x - 3 and our required equation is parallel to it and passes through (4, 2).

So, 2 = (1/2)(4) + b.

2 = 2 + b.

b = 0.

Hence, y = (1/2)x is the required equation of the line.

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Answer:

Step-by-step explanation:

we will find the first angle in the larger triangle;

180⁰-60⁰= 120⁰

120⁰

the second angle will be;

120⁰+30⁰=150⁰

180⁰-150⁰=30⁰

30⁰ this means that the second triangle is isosceles triangle, when we find the hypotenuse of the smaller triangle it will be equal to x since the sides are equal

88/sin60⁰=x/sin90⁰

88sin 90⁰=xsin60⁰

88/0.8660=0.8660x/0.8660

x=101.62

The number of points that Melissa scored would be = 89 points.

The competition was carried out by these two individuals that had different scores such as follows:

The total number of scores for Melissa = 50 point + Ron's score. That is , y = 50+X. ---> eq 1

The total number of Ron's score X = 4/9 × y --> 2

substitute y into equation 2.

X = 4/9× (50+X)

X= 22 + 0.44x

0.56x= 22

X= 22/0.56

X= 39.

substitute X into equation 1;

y= 50+39

y = 89

Therefore, the total number of points for Melissa = 89 point.

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The gallons of water a customer can use if the water bill is not to exceed ​$150 is 81474.82 gallons

In order to determine the water bill, we need to calculate the price of one gallon of water (rate) using the given information.

Since ​$1.39 per 755 gallons

rate = ​1.39/ 755

The water bill if a resident of that city uses 30,000 ​gallons will be:

​1.39/ 755 * 30000 = $55.23

The gallons of water a customer can use if the water bill is not to exceed ​$150​ will be:

Let x be  gallons of water

(​1.39/ 755)x ≤ 150

x ≤ 150/(​1.39/ 755)

x ≤ 81474.82 gallons

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Answer:To convert the elevation of the City of Santa Clara from feet to centimeters, you can use the conversion factors:

1 ft = 12 in

1 in = 2.54 cm

First, convert feet to inches:

75 ft * 12 in/ft = 900 in

Then, convert inches to centimeters:

900 in * 2.54 cm/in = 2286 cm

So, the elevation of the City of Santa Clara is approximately 2286 cm.

Step-by-step explanation:

Answer:

23 and 16

Step-by-step explanation:

The pattern is to subtract 7 each time.

51 - 7 = 44

44 - 7 = 37

37 - 7 = 30

30 - 7 = 23

23 - 7 = 16

The only 2-digit multiple of 2, 3, 4, 6, and 8 is the number 24.

Multiple is a term that refers to an amount that is greater than one or a collection of two or more items. It is often used to describe a quantity of objects, people, or events that are distinct from each other. For example, a multiple of five would be five, ten, fifteen, twenty, etc. Similarly, a multiple of three would be three, six, nine, twelve, etc.

Therefore, all five people are thinking of the same number: 24.

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Answer:

x = 1

Step-by-step explanation:

2/3 (2x + 4) + 6 = 10

2/3 (2x + 4) = 10 - 6

1⅓x + 2⅔ = 4

1⅓x = 4 - 2⅔

1⅓x = 1⅓

x = 1

Answer: C.

Step-by-step explanation:

A. The length of each segment of the rope is 5 m.

B. The mass of the middle segment is the length of the segment 10 kg.

C. The y values of the bottom of each segment are y₀ = 0, y₁ = 5 m, and y₂ = 10 m.

D. The distance d₂ the middle segment must be moved is 15,

Acceleration is a measure of the change in velocity over time. In physics, acceleration is defined as the rate of change of velocity, or the second derivative of position with respect to time. Acceleration is a vector quantity that has both magnitude and direction, and its unit is meters per second squared (m/s²).

A positive acceleration indicates an increase in speed, while a negative acceleration indicates a decrease in speed or a change in direction. In everyday life, we encounter examples of acceleration in movements such as starting a car, stopping a car, or changing direction while driving.

A. The length of each segment of the rope is 15 m / 3 = 5 m.

B. The mass of the middle segment is the length of the segment multiplied by the density of the rope: M2 = 5 m × 2 kg/m = 10 kg.

C. The y values of the bottom of each segment are y0 = 0, y1 = 5 m, and y2 = 10 m.

D. The distance d2 the middle segment must be moved is 25 m - 10 m = 15 m.

Therefore, the work required to move the middle segment can be approximated using the formula W = M2 × g × d2, where g is the acceleration due to gravity. The exact value of the work required to move the entire rope would need to take into account the different distances that each segment must be moved.

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If the Bitcoin economy had a yearly growth rate of 7% from 2017 to 2019, then the value in 2019 would be $1.07^3 = $1.225. If the economy had a negative growth rate of 5% in 2020, then the value in 2020 would be $1.225 x 0.95 = $1.1638. If the negative growth rate doubled in the next year, then the value in the next year would be $1.1638 x 0.9 = $1.04742.

To calculate the percentage change from 2018 to the next year, we can compare the values of the Bitcoin economy in those two years. The value in 2018 would be $1.07^2 = $1.1449. The percentage change would be ((value in next year - value in 2018) / value in 2018) x 100%. Substituting the values, we get ((1.04742 - 1.1449) / 1.1449) x 100% = -8.5%.

Therefore, the approximate percentage decrease of the Bitcoin economy in the next year, compared to 2018, is approximately 9%. The closest option is "Approximately 9% decrease".

Answer: 6k + 31

Step-by-step explanation:

19 - (-6k - 2(6))

19 - (-6k - 12)

19 + 6k + 12

6k + 31

Answer: 6k + 31

Step-by-step explanation:

=  19-6(-k-2)

= 19+6k +12

= 6k + 31

Answer: Let's call the length of the box "x". Then, the height of the box is 4x and the width is x + 7. The volume of the box is given by the equation:

x * 4x * (x + 7) = 102

Expanding and simplifying the equation, we get:

4x^3 + 28x^2 - 102 = 0

To find the length of the box, we need to solve for x in this equation. One way to do this is to use the cubic formula. However, this formula can be quite complex, so a simpler method would be to use numerical methods such as the bisection method or Newton's method.

Step-by-step explanation:

Answer:

[tex]\$25,006[/tex]

Step-by-step explanation:

The total cost of Target shares is [tex](200)(\$56.30)=\$11,260[/tex].

The total cost of Pepsico shares is [tex](200)(\$68.73)=\$13,746[/tex].

Adding these costs together yields [tex]\$11,260+\$13,746=\$25,006[/tex].

The probability of the field mice having a weight greater than 33 g is 0.977, the field mice have a weight greater than 33 g.

The proportion of field mice with a weight greater than 33 g can be calculated using the formula for a standard normal distribution. This formula states that the probability of an event with a normal distribution occurring can be calculated by subtracting the area under the normal curve from the mean to the given value and dividing by the standard deviation.

In this case, the mean of the distribution is 25 g, the standard deviation is 4 g and the given value is 33 g.

Therefore, the probability of the field mice having a weight greater than 33 g is 0.977. This means that 0.977, or 97.7%, of the field mice have a weight greater than 33 g.

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E(X) = 2 and Var(X) = 4/3.

And then, Here's a plot of the CDF of X:

[Plot of the CDF of X with x on the x-axis and F(x) on the y-axis, showing a line with slope 0.5 for x in [0,2]]

E(X) = ∫x*p(x)dx, where the integral is taken over the range of X.

E(X) = ∫x*0.5dx = 0.5∫xdx = 0.5(x²/2)|0 to 2 = (2²/2 - 0²/2)*0.5 = 2.

Var(X) = E((X - E(X))²) = E(X²) - (E(X))².

E(X²) = ∫x²*p(x)dx = 0.5∫x²dx = 0.5(x²/3)|0 to 2 = (2²/3 - 0³/3)*0.5 = 8/3.

So, Var(X) = E(X²) - (E(X))² = 8/3 - (2)² = 8/3 - 4 = 4/3.

F(x) = P(X <= x) = ∫p(t)dt for all t <= x.

F(x) = 0.5x for x in [0,2].

The CDF of X is a monotonically increasing function, and it tells us the probability that X takes a value less than or equal to x.

Now, Here's a plot of the CDF of X:

[Plot of the CDF of X with x on the x-axis and F(x) on the y-axis, showing a line with slope 0.5 for x in [0,2]]

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Answer:

the answer is 0.168

Step-by-step explanation:

have a good day!

the value of P(A∪B) is 17/20.

Probability is a number expressing the likelihood or chance that a specific event will occur. Proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A neighborhood restaurant is serving dinner to 20 patrons.

Both cash and credit are accepted as modes of payment at the restaurant. Of the 20 customers, 3 have enough cash and a credit card to pay for their dinner, 16 have a credit card, and 4 have enough cash to cover the cost of their meal.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

Let "A" represent the situation in which a randomly chosen consumer has enough cash,

"B" represents the situation in which a randomly chosen customer has a credit card.

thus,

P(A) = 4/20

P(A) = 1/5

P(B) = 16/20

Also given,

P(A∩B) = 3/20

Since,

P(A∪B) = P(A) + P(B) -P(A∩B)

P(A∪B) = 4/20 + 16/20 - 3/20

P(A∪B) = 17/20

therefore, the value of P(A∪B) is 17/20.

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The total feet in altitude is given by the equation A = -790 feet

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 total feet in altitude be represented as A

Now , the equation will be

The hot air balloon descends 305 feet per minute for 4 minutes

So , the total descending will be a negative value , where

The feet in altitude descended = -305 x 4 = -1220 feet

Now , hot air balloon ascends 215 feet per minute for 2 minutes

So , the total ascending will be a positive value , where

The feet in altitude ascended = 215 x 2 = 430 feet

And , the total feet in altitude A = feet in altitude descended + feet in altitude ascended

Substituting the values in the equation , we get

The total feet in altitude A = -1220 + 430

On simplifying the equation , we get

The total feet in altitude A = -790 feet

Hence , the equation is A = -790 feet

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Answer:

|-1/7| = 1/7 or approx .14