A ghost crab can travel about 12 miles every 6 hours on the ocean’s floor. How far can the crab travel in 11 hours? Explain how you found your solution.

Answer:

the slope of the line shows the rate of change of y relative to x

Answer:

Step-by-step explanation:

Slope, m, is a measure of the rate of change which is constant for linear equations. Mathematically it is defined as

m=(y2-y1)/(x2-x1)

Again for linear equations this is a constant value which tells you how much y, the dependent variable, increases/decreases with respect to the change in the independent variable x.

Answer: it’s the last one

Step-by-step explanation:

Answer:

98 since vertical angels have same angles

Step-by-step explanation:

Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....

no that would NOT be a cone

That would not be a cone.

Answer:

672 m^3

Step-by-step explanation:

The formula to find the volume of a prism is V = l x w x h, where l is length, w is width, and h is height. You are given the length, width, and height in the problem so you just plug it into the formula.

V = 8 x 6 x 14

After multiplying all three numbers together, you should get the answer 672 m^3.

Answer:

02920

Step-by-step explanation:

92823

Answer:

Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Step-by-step explanation:

Let x represent the number of messages that Keiko sent.

Since Dale sent 7 less than Keiko, his number can be represented by x - 7

Since Tony sent 4 times as many as Keiko, his number can be represented by 4x

Using these variables, create an equation:

(x) + (x - 7) + (4x) = 95

Add like terms and solve for x:

6x - 7 = 95

6x = 102

x = 17

So, Keiko sent 17 messages.

Subtract 7 from this to find how many Dale sent:

17 - 7

= 10

Multiply it by 4 to find how many Tony sent:

17(4)

= 68

So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages

Answer:

D. 18

Step-by-step explanation:

The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°

= (5 - 2) * 180 = 540°

Therefore:

95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°

Solve for x

95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540

Add like terms

198 + 19x = 540

19x = 540 - 198

19x = 342

x = 342/19

x = 18

Answer:

80 potatoes

Step-by-step explanation:

Answer:

8 roses

Step-by-step explanation:

First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.

Answer:

[tex]T_7 = 11[/tex]

[tex]T_n = 2n- 3[/tex]

Step-by-step explanation:

Given

[tex]S_n = n^2 -2n[/tex]

[tex]T_n = S_n - S_{n-1}[/tex]

Solving (a): T7

Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]

[tex]T_7 = S_7 - S_{7-1}[/tex]

[tex]T_7 = S_7 - S_6[/tex]

Calculate S7 and S6

[tex]S_n = n^2 -2n[/tex]

[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]

[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]

So:

[tex]T_7 = 35 -24[/tex]

[tex]T_7 = 11[/tex]

Solving (b): Tn

[tex]T_n = S_n - S_{n-1}[/tex]

Where [tex]S_n = n^2 -2n[/tex]

Calculate[tex]S_{n-1}[/tex]

We have:

[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]

Open brackets

[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]

[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]

[tex]S_{n-1} = n^2 -4n + 3[/tex]

So:

[tex]T_n = S_n - S_{n-1}[/tex]

[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]

[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]

Collect Like Terms

[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]

[tex]T_n = 2n- 3[/tex]

Answer:

pretty sure youre right kiddo

Answer:

[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

Step-by-step explanation:

x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.

We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60

Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.

This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]

TL;DR

I took the test and the answer was right

The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

where we had  where mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).

Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]

Symbolically, we write it as:

[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]

(for large enough samples, n > 30)

For this case, we're specified that:

Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]

Symbolically, we get:

[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]

Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.

[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]

So, limits are:

[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]

Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))

Learn more about empirical rule here:

https://brainly.com/question/13676793

#SPJ2

Answer:

-5.5

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

To find the simplest ratio, divide each number by 2:

6/2

= 3

10/2

= 5

So, the simplest ratio of triangles to squares is 3:5

Answer:

x = 4, y = 4 or you can say (4, 4)

Answer:

2 rides & 4 games

Step-by-step explanation:

2 rides=$8

4 games=$8

8+8=$16

Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The number of games Victoria played, x, and the number of rides Victoria went on, y.

Each game costs $2 and each ride costs $4, so we can set up the following system of equations:

2x + 4y = 16

x + y = 6

To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.

To plot the equations, we can first graph the equation 2x + 4y = 16.

The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.

We can then connect this point to the first point with a straight line to complete the graph of the equation.

Next, we can graph the equation x + y = 6 similarly.

The point will represent the values of x and y that satisfy both equations.

In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

==============================================================

Work Shown:

I'm assuming you meant to write [tex]f(x) = 2^{x+4}[/tex] where all of the "x+4" is the exponent.

If we shift f(x) 5 units to the right to end up with g(x), then,

[tex]g(x) = f(x-5)\\\\g(x) = 2^{x-5+4}\\\\g(x) = 2^{x-1}\\\\[/tex]

In the second step, I replaced every copy of x with x-5 so that I could apply the translation of 5 units to the right.

The exponent for g(x) is x-1, which matches up with x-k. We see that k = 1.

Answer:

Step-by-step explanation:

Answer:

1st, 3rd, and 4th options are true

Step-by-step explanation:

Answer:

(-1.875, -1.625)

Step-by-step explanation:

We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)

Remember that the distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

First we can write our equation as a line in the slope intercept form:

y = -(2/6)*x - 1

Now we could minimize the equation:

D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)

D = √(  ( x + 5)^2 + (  -(2/6)*x - 1 + 3) ^2)

Then we can minimize:

D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2

       = x^2 + 10*x + 25  + (4/36)*x^2  - (8/6)*x + 4

       =  (1 + 4/36)*x^2 + (10 - 8/6)*x + 29

        = (40/36)*x^2 + (52/6)*x + 29

This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.

The vertex is at the x-value such that (D^2)' = 0

Then:

(D^2)' = 2*(40/36)*x + (52/6)

This needs to be zero then:

0 = 2*(40/36)*x + (52/6)

-52/6 = (80/36)*x

(-52/6)*(36/80) = x

-1.875 = x

And the y-value when x = -1.875 is:

y = -(2/6)*-1.875 - 1

y = -1.625

Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)

Answer:

b is the correct answer

Step-by-step explanation:

btw can i have brainliest please

Answer:

lewis has $179 more than mary

Lewis has the greater total amount of money than Mary by $879

Given the following data:

To determine who has the greater total amount of money and by how much greater is it:

Mathematically, simple interest is given by the formula:

[tex]S.I = PRT[/tex]

Where:

[tex]S.I = 3700 \times 0.032 \times 15[/tex]

S.I = $1,776

[tex]S.I = 3000 \times 0.059 \times 15[/tex]

S.I = $2,655

Therefore, Lewis has the greater total amount of money.

Next, we would find the difference in their simple interest:

[tex]Difference = 2655-1776[/tex]

Difference = $879

Read more on simple interest here: https://brainly.com/question/24341207

Answer:

Personal Identification Number

Hope this helped and brainliest please

Step-by-step explanation:

let third angle be x

60° + 60° + x = 180° (Δ sum property)

x = 60°

so, this is a equilateral triangle (all Δ equal)

in equilateral triangle --> all sides are equal

so, therefore =>>

7x + 19 = 11x - 89

19 + 89 = 11x - 7x

108 = 4x

108 ÷ 4 = x

27 = x

so variable

1.) 7x + 19

= 7(27) + 19

= 189 + 19

= 208

2.) 11x - 89

= 11(27) - 89

= 297 - 89

= 208