A certain tiger shark is 55 cm long at birth and grows 2.5 cm / year. A certain hammerhead shark is 25 cm long at birth and grows 5 cm/year. When will the sharks be equal in length?

Let x = time in years

Let y = length of the sea creatures

The equation for the length of the tiger shark is
[ Select ]
. The equation for the length of the spiny dogfish hammerhead shark is
[ Select ]
. Solving with elimination, the sharks will be equal in length when
[ Select ]
years have passed.

Answers

Answer 1

Answer:

Step-by-step explanation:

equation for tiger shark:

for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.

the equation would be y = 2.5x + 55

equation for hammerhead:

do the same process with the other numbers. this would be

y = 5x + 25

solve with elimination:

subtract the two equations, which would eliminate the y variable

y = 5x + 25

- (y = 2.5x + 55)

you get

0 = 2.5x - 30

solve that for x

2.5x = 30

x = 12 years

so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:

y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85

so they will be 85 cm long each.


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First listen to the video on your left of the screen, and then on the right of your screen, you'll see tests. You click on the button below on the test that says practice and if you 3 out of 4 correct, you can do the other videos and tests.

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The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
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Answer:

it's the 4th one

Step-by-step explanation:

A, the one you mentioned

B, the 7th

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D is your answer

If there is a 30% chance of snow today and a 10% chance of snow tomorrow, what is the chance that it will not snow today and tomorrow? Write your answer as a percent.

Answers

Answer:

The weather forecast says that there is a "30% chance of rain," and we think we understand what it means. This quantitative statement is assumed to be unambiguous and to convey more information than does a qualitative statement like "It might rain tomorrow." Because the forecast is expressed as a single-event probability, however, it does not specify the class of events it refers to. Therefore, even numerical probabilities can be interpreted by members of the public in multiple, mutually contradictory ways. To find out whether the same statement about rain probability evokes various interpretations, we randomly surveyed pedestrians in five metropolises located in countries that have had different degrees of exposure to probabilistic forecasts--Amsterdam, Athens, Berlin, Milan, and New York. They were asked what a "30% chance of rain tomorrow" means both in a multiple-choice and a free-response format. Only in New York did a majority of them supply the standard meteorological interpretation, namely, that when the weather conditions are like today, in 3 out of 10 cases there will be (at least a trace of) rain the next day. In each of the European cities, this alternative was judged as the least appropriate. The preferred interpretation in Europe was that it will rain tomorrow "30% of the time," followed by "in 30% of the area." To improve risk communication with the public, experts need to specify the reference class, that is, the class of events to which a single-event probability refers.

i need help with this!!!!

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Answer: 2. 5.

Step-by-step explanation:

Describe the graph.
y=12x+2

Group of answer choices

Horizontal line that goes through the point (0,2).

Vertical line that goes through the point (2,0).

A line that goes through the point (0,2) that goes up one unit for every two units moving right.

A line that goes through the point (2,0) that goes up one unit for every two units moving right.

Answers

Answer:

It would be the last one!! Hope this helps

a line that goes through the point (2,0) that goes up on unit for every two unites moving right.

2,826 rounded to the nearest tenth

Answers

Answer:

2,826

Step-by-step explanation:

A tenth is the first place value after the decimal point

In this case, 2,826.00

To round a number to the tenths place, we look at the hundredths place

If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's

If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's

In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.

Thus, our final answer is 2,826.

what is an equation in slope-intercept form for the line (-5, 2) and (5,-3)?​

Answers

Answer:

y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

solved using point-slope form

points given: (-5, 2) and (5, -3)

slope: [tex]\frac{-3-2}{5-(-5)} =\frac{-5}{10} =-\frac{1}{2}[/tex]

y = [tex]-\frac{1}{2}[/tex] x + b

insert x- and y- values of (-5, 2) and solve for b

2 = [tex]-\frac{1}{2}[/tex] (-5) + b

2 = 2.5 + b

subtract 2.5 from both sides

2 - 2.5 = 2.5 + b - 2.5

-0.5 = b

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y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, where lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15

Answers

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]

The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]

Where;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

[tex]\overline y[/tex] = The mean crash fatality = 15.52

[tex]\overline x[/tex] = The mean lemon import = 373.6

Therefore;

[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]

c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]

Second part;

When the imports is 425 metric tons of lemon, we have;

[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

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Which expression shows a way to find 22 X 46?

Answers

Answer:A. (22)(40)+(22)(6)

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Answer:

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Step-by-step explanation:

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-2x + 8

Answer:-

-2x + 8

Explanation:-

=> 32x + 8 - 34x

=> (32 - 34)x + 8

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After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
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Answers

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

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7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

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Answers

Answer:

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Step-by-step explanation:

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PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts

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Step-by-step explanation:

have a lovely day <3

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:


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Answers

69,420 ------------------------------------------------------------------------

What is the solution to the equation? −12x=−3
Enter your answer in the box.

Answers

Answer:

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Step-by-step explanation:

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So we can just divide -3 by -12 to find the answer.

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So the answer is 0.25 or 1/4 in fraction form.

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૮ ・ﻌ・ა

Answer:

x = 1/4

Step-by-step explanation:

−12x = − 3

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Answer:

x = 1/4

Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection

Answers

Answer:

3:2

Step-by-step explanation:

42:28

21:14

3:2

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False it is incorrect

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Answer:

the answer should be b good luck

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Answers

Answer:

y = 3/4 + 7

Step-by-step explanation:

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y = 6/8x + 7

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y=3.5x+15.

Answers

Answer:

x=-3, y=4.5

Step-by-step explanation:

Which expression has the greatest value when c = 7? 12 - 2C 0R C - 5
please show working

Answers

If c = 7, then

12 - 2c

= 12 - 2(7)

= 12 - 14

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c - 5

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= 2

=》+2 > -2.

So, c - 5 has greater value than 12 - 2c, if c = 7.

______

Hope it helps ⚜

The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
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-3
0
3
6
9
What is f(3)?
-9
-1
1
9

Answers

Answer:

f(3) = 9

Step-by-step explanation:

The value for f(3) is given in the table (last entry)

But one can see that the function, f, is:

f(x) = 3x

This works for all values.  f(3) = 3*3 or 9

The range of the function when x = 3 is f ( 3 ) = 9

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the input values of the function be x

where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Let the output values of the function be y

where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }

So , the range of the function when x = 3 is

f ( 3 ) = 9

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I NEED HELP PLEASE will give crown

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Answer:

hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:

Step-by-step explanation:


[tex]8a⁴ × (9a)⁴ [/tex]

find the value of it
8a⁴ × (9a)⁴ ​

Answers

8a⁴ × (9a)⁴= 8a⁴ × 9⁴a⁴= 8a⁴ × 6561a⁴[tex]= (8 × 6561) a ^{4 + 4} [/tex][tex]= 52488 a ^{8} [/tex]

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Doubt clarification - use comment section.

The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?

The formating kinda screwed up

Answers

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

The mid-point of two points is the mean of the coordinates of each point.

In this problem:

The points are: A(2, -5) and B(x,y).The mid-point is (0, -3).

Applying the concept for both the x and y-coordinates, we have that:

[tex]\frac{x + 2}{2} = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

[tex]\frac{-5 + y}{2} = -3[/tex]

[tex]-5 + y = -6[/tex]

[tex]y = -1[/tex]

The coordinates of B are (-2, -1).

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