Traveling with the current, a boat can travel 48 miles in 3 hours. Against the current, it takes 6 hours to go the same distance. Find the rate of the boat in still water and the rate of the current.

The answer lines consist of 2 lines for “Write the system of equations” and 1 line for “Solve the system to find the speed of the boat and speed of the current”

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

Comment on the question

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

The weight of 5 washers is required.

The weight of the 5 washers is 0.56 pounds

R = Outer diameter = 3/4 inch

r = Inner diameter = 1/4 inch

h = Height of washer = 1/4 inch

\(\rho\) = Density of metal = 0.285 pounds per cubic inch

The volume of the washer is

\(V=\pi R^2h-\pi r^2h\\\Rightarrow V=\pi h(R^2-r^2)\)

Mass is given by

\(m=V\rho\\\Rightarrow m=\pi h(R^2-r^2)\rho\\\Rightarrow m=\pi \dfrac{1}{4}((\dfrac{3}{4})^2-(\dfrac{1}{4})^2)\times 0.285\\\Rightarrow m=0.1119\ \text{pounds}\)

For 5 washers

\(5\times 0.11=0.5595=0.56\ \text{pounds}\)

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Answer:

-284

Step-by-step explanation:

If it's not im truly sorry

Explanation

the slope of a line is given by:

so

Step 1

let

P1(-18,12)

P2(6,4)

now, replace in the formula

therefore, the slope is

I hope this helps you

(apc - ar) / (pb - aq) is the solution of x when given the linear equations ax + by = c and px + qy = r.

To find the value of x in terms of a, b, c, p, q, and r using the elimination method with the given linear equations ax + by = c and px + qy = r, follow these steps:

1. Multiply the first equation by p and the second equation by a to make the coefficients of x in both equations equal:

  (ap) (ax + by) = (ap)c

  (a) (px + qy) = (a)r

2. The new equations will be:

  apx + pby = apc

  apx + aqy = ar

3. Subtract the second equation from the first to eliminate x:

  (apx + pby) - (apx + aqy) = apc - ar

4. Simplify the equation:

  pby - aqy = apc - ar

5. Factor out y from the left side of the equation:

  y(pb - aq) = apc - ar

6. Finally, solve for x:

  x = (apc - ar) / (pb - aq)

So, using the elimination method, x = (apc - ar) / (pb - aq) when given the linear equations ax + by = c and px + qy = r.

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Answer:

y = 4x + -1/1

-1/1 as a fraction. Down by 1 and right by 1

The equation of line in slope intercept form which is passing through

(1, -1) is  y = 4x -5.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The equation of line in slope intercept form is given by y = mx + c.

According to the given question.

We have

The solpe of the line, m = 4

Also, the point through which the line is passing, \((x_{1} , y_{1}) = (1, -1)\)

Since, we know that the equation of line in slope intercept form of the line is given by

y = mx +c

Since, the above line is passing through (1, -1) and the slope is 4.

Therefore,

-1 = 4(1) + c

⇒ -1 = 4 + c

⇒ -1 -4 = c

⇒ c = -5

Substitute the value of m and c in the equation y = mx + c.

⇒ y = mx + c

⇒ y = 4x -5

Therefore, the equation of line in slope intercept form which is passing through (1, -1) is  y = 4x -5.

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Answer:

35 dollars

Step-by-step explanation:

A third of $18, is $6

and if he has twice the amount of a third of 18 dollars

that equation would be 2 * 6  

Which would equal $12

So Matt has $12

Carolyn has $23 more dollars than Matt

12 + 23 = 35

So your answer would be:

Carolyn has $35

Answer:

Thats the answer r=-7/6

Step-by-step explaintion

r=-7/6

An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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Answer:

pkease right the question properly please

Answer:

  (a)  (6, 2)

Step-by-step explanation:

The system of equations has one of them in y= form, so it lends itself to solution by substitution.

__

Using the equation for y to substitute into the first equation, we have ...

  2x -y = 10

  2x -(-1/2x +5) = 10 . . . . . substitute for y

  2x +1/2x -5 = 10 . . . . . eliminate parentheses

  5/2x = 15 . . . . . . . . . add 5, collect terms

  x = 6 . . . . . . . . . . . multiply by 2/5

Using the equation for y, we have ...

  y = -1/2(6) +5 = -3 +5

  y = 2

The solution is (x, y) = (6, 2).

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

36

Step-by-step explanation:

Question:

\( \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4\)

Solution:

Here, we need to use PEMDAS rule, where:

There's a rule as well, the sum given is need to solved from the left, whichever sign is there.

Solved:

\(\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4\)

Solve for parentheses first:

\( = 5 \times 7 + 5 - 4\)

Then multiplication of course:

\( = 35 + 5 - 4\)

Then addition:

\( = 4 0 - 4\)

\( =36\)

Hence, the answer is 36.

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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Anderson should use a two-sample t-test to determine if there is a statistically significant difference in annual income between college graduates and non-college graduates.

A two-sample t-test is a type of inferential statistic used to compare the means of two independent groups. It is used to determine if the difference between the two groups is statistically significant.

In this case, Anderson would compare the mean annual income of college graduates to the mean annual income of non-college graduates. If the difference between the two means is statistically significant, then Anderson can conclude that there is a difference in annual income between college graduates and non-college graduates.

If the difference is not statistically significant, then Anderson can conclude that there is no difference in annual income between the two groups.

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Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:

Hence, the maximum age of the youngest 25% of the passengers is of 30.

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The rule of 70 can be stated as doubles every 70/X years.

The rule of 70 is the basic formula to give estimation about time taken for something usually population or investment to double in value. This rule for the investment population only provide the estimation nor guarantee the result.

The rule of 70 formula is,

Time needed to double value = 70 / annual growth rate.

Since in the question annual growth rate is variable with X percent for a year. So the correct statement is doubles every 70/X years.

You question is incomplete, but most probably your full question was

(image attached)

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Answer:

i think its A

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

Step-by-step explanation:

please mark me as brainlest

Answer:

4.16 ⋅ 10^17

Step-by-step explanation:

The answer in scientific notation^^

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = \(-\frac{1}{4}\) x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = \(\frac{3-2}{5-0}\) = \(\frac{1}{5}\)

y = \(\frac{1}{5}\) x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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The area of triangle STU is 40 square units.

The area of triangle STU can be found using the Shoelace Theorem, which states that the area of a polygon can be calculated as the sum of half the product of the coordinates of its vertices.

The vertices of triangle STU are (-4, 2), (-5, 9), and (-8, 7), so the area can be calculated as follows:

0.5 * abs((-4 * 9 + -5 * 7 + -8 * 2) - (-5 * 2 + -8 * 9 + -4 * 7)) = 0.5 * abs(40 - -40) = 0.5 * 80 = 40

Therefore, the area of triangle STU is 40 square units.

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The value for P(A | B) is 0.3 for P(B | A) is 0.2, P(A | A U B) is 0.625 and P(A | A ∩B) is 0.33

Total number of events = A and B

P(A) = 0.5

P(B) = 0.3

P(A ∩B) = 0.1,

The given questions will be solved by the concept of conditional probability

a.

P(A | B)

= P(A ∩ B) / P(B)

= 0.1 / 0.3 = 1/3 or 0.33.

b.

P(B | A)

= P(A ∩ B) / P(A)

= 0.1 / 0.5

= 1/5 or 0.2.

c.

P(A | A U B)

= P(A ∩ (A U B)) / P(A U B)

= P(A) / P(A U B)

= 0.5 / (0.5 + 0.3 - 0.1)

= 0.625

d.

P(A | A ∩B) = P(A ∩ B) / P(B)

= 0.1 / 0.3

= 1/3 or 0.33.

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Answer: 13

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

100 centimeter in 1 meter

the answer is six hundred

Answer:

3rd option

Step-by-step explanation:

the ratio of b : c is the cos77° , that is

cos77° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{b}{c}\) ≈ 0.224951054.

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800   (total juice)

2*600=1200   (total fruit)

2*600=1200   (total burritos)

2*600=1200   (total doritos)

1*600=600     (total milk)

1800+1200+1200+1200+600=6000

Answer:

answer of this qn is 15in^2

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4