when the probe reaches the ocean for approximately how far will the probe be from the team ship on the surface of the ocean when measured horizontally round to the nearest meter

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

C.70

Step-by-step explanation:

The length of the fence that Winston installs is 200 yards

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Winston installs a fence post every eight yards after the first post he installs 25 more, therefore:

The length of the fence = 8 yards * 25 post = 200 yards

The length of the fence is 200 yards

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

\(v=\frac{80}{3}\pi \frac{m}{min}\)

Step-by-step explanation:

In order to start solving this problem, we can begin by drawing a diagram of what the problem looks like (see attached picture).

From that diagram, we can see that we have a triangle we can analyze. We'll call the angle between the vertical line and the slant line \(\theta\). And we'll call the distance between W and the point we are interested in l.

Now, there are different things we need to calculate before working on the triangle. For example, we can start by calculating the angle \(\theta\).

From the diagram, we can see that:

\(tan \theta = \frac{l}{3}\)

when solving for \(\theta\) we will get:

\(\theta = tan^{-1} (\frac{l}{3})\)

we could use our calculator to figure this out, but for us to get an exact answer in the end, we will leave it like that.

Next, we can calculate the angular velocity of the beam. (This is how fast the beam is rotating).

We can use the following formula:

\(\omega = \frac{2\pi}{T}\)

where T is the period of the rotation. This is how long it takes the beam to rotate once. So the angular velocity will be:

\(\omega = \frac{2\pi}{3} \frac{rad}{s}\)

Next, we can take the relation we previously got and solve for l, so we get:

\(tan \theta = \frac{l}{3}\)

\(l = 3 tan \theta\)

Now we can take its derivative, so we get:

\(dl = 3 sec^{2} \theta d\theta\)

and we can divide both sides of the equation into dt so we get:

\(\frac{dl}{dt} = 3 sec^{2} \theta \frac{d\theta}{dt}\)

in this case \(\frac{dl}{dt}\) represents the velocity of the beam on the wall and \(\frac{d\theta}{dt}\) represents the angular velocity of the beam, so we get:

\(\frac{dl}{dt} = 3 sec^{2} (tan^{-1} (\frac{l}{3})) (\frac{2\pi}{15})\)

we can simplify this so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})sec^{2} (tan^{-1} (\frac{l}{3}))\)

we can use the Pythagorean identities to rewrite the problem like this:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+tan^{2} (tan^{-1} (\frac{l}{3})))\)

and simplify the tan with the \(tan^{-1}\) so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l}{3})^{2})\)

which simplifies to:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l^{2}}{9}))\)

In this case, since l=1, we can substitute it so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{1}{9}))\)

and solve the expression:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(\frac{10}{9})\)

\(\frac{dl}{dt} = \frac{20}{45}\pi\)

\(\frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s}\)

now, the problem wants us to write our answer in meters per minute, so we need to do the conversion:

\( \frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s} * \frac{60s}{1min} \)

\(velocity = \frac{80}{3} \pi \frac{m}{min}\)

Answer:

b = 9

Step-by-step explanation:

b + 4 = 13 Subtract 4 from both sides

b + 4 - 4 = 13 - 4

b = 9

Helping in the name of Jesus.

Answer:

30% increase

Step-by-step explanation:

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

For more such information on: set

https://brainly.com/question/24713052

#SPJ8

Answer: 4

Step-by-step explanation:

trust me bro

Answer:

sorry but I don't know the answer

Answer:

138650

Step-by-step explanation:

let the total nunber of employees be x

16.3% of x = 22 600

16.3

----- × x = 22 600

100

x = 22 600 × 100

-------------------

16.3

x = 138 650.3067

x = 138 650 (to the nearest whole number)

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.

Step-by-step explanation:

so let’s solve this using the following formula -> \(V=\pi r^2h\).

So if the height is 25 and the radius is 12 them we can plug those numbers into the formula.

\(\pi (12)^2(35)\).

So let’s start by doing 12 squared which is 144 then 144*35 which is 5040.

And now 5040*pi which is 15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.

Id you ant to check if my answer is correct look at the image below.

Answer:

70 cars

Step-by-step explanation:

Let x cars are parked in the parking lot.

\(30\% \: of \: x = 21 \\ \\ \frac{30}{100} \times x = 21 \\ \\ x = 21 \times \frac{100}{30} \\ \\ x = \frac{2100}{30} \\ \\ x = 70 \: \)

70 cars are parked in the parking lot.

Number of students = 18

Number of scoops allowed per student = 2

If we are to write the total number of scoops that all the students will recive in linear form:

let the total number represent y

A linear form has the form:

y = mx + c

In this question:

y = 2x

Since there is no constant, the c = 0

m= 2 scoops per person

x = number of persons

The constraint that can affect the equation is the number of scoops.

Since we are told each person will only have 2 scoops.

The constraint:

This is because we can't have negative number of scoops of ice-cream.

Answer:

140

Step-by-step explanation:

here,

You have 1050

now

$1050(45×6)

=140 items

Answer:

9 slices

Step-by-step explanation:

Set up a proportion:

\(\frac{14}{6}\) = \(\frac{21}{x}\)

Cross multiply and solve for x, the amount of slices if 21 people come:

14x = 126

x = 9

So, each person can have 9 slices

Richard is incorrect, As if two angles are same then the 3rd angle must be same too using angle sum property and therefore ΔJFH ≅ ΔJGH with AAA congruency.

Two triangles are congruent if they have the same shape and size. Congruent triangles have all corresponding angles and sides congruent, meaning they are equal in measure.

A triangle can be shown to be congruent to another triangle by using one or more of the following criteria:

SSS (Side-Side-Side) Congruence: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

SAS (Side-Angle-Side) Congruence: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

ASA (Angle-Side-Angle) Congruence: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

HL (Hypotenuse-Leg) Congruence: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Richard is incorrect, As if two angles are same then the 3rd angle must be same too using angle sum of property and therefore ΔJFH ≅ ΔJGH

To learn more about congruent triangle, Visit

brainly.com/question/3999145

#SPJ1

Answer: B. $13,720

Step-by-step explanation: To calculate Ford's proceeds, we need to first find the discount, which is equal to the interest on the loan multiplied by the principal amount of the loan. The interest is 8% of $14,000, or $1,120. The discount is then $1,120 * 90/360, or $310. The proceeds are equal to the principal amount minus the discount, or $14,000 - $310 = $13,720.

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

For more such questions on expression visit:

https://brainly.com/question/1859113

#SPJ8

Answer:

sorry if im wrong

Right circular cone

V=πr2h

3

Step-by-step explanation:

Answer:1/4 of robot

Step-by-step explanation:

Answer:

30/7 is the answer yw

Step-by-step explanation:

In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

Learn more about money at:

https://brainly.com/question/329739

#SPJ1

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

Answer:

m=-9+n

Step-by-step explanation:

you want to get m by itself so you subtract 9 on both sides. 9-9 crosses out and you get m by itself. Which leads you to m= -9+n

Answer:

26.75 units²

Step-by-step explanation:

Cube Area: A = l²

Triangle Area: A = 1/2bh

Step 1: Find area of biggest triangle

A = 1/2(3.5)(2 + 2 + 5)

A = 1.75(9)

A = 15.75

Step 2: Find area of 2nd biggest triangle

A = 1/2(5)(2)

A = 1/2(10)

A = 5

Step 3: Find area of smallest triangle

A = 1/2(2)(2)

A = 1/2(4)

A = 2

Step 4: Find area of cube

A = 2²

A = 4

Step 5: Add all the values together

A = 15.75 + 5 + 2 + 4

A = 20.75 + 2 + 4

A = 22.75 + 4

A = 26.75

Answer: The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

The axis of symmetry is \(x=\frac{4-1}{2}=1.5\)

Since the coefficient of \(x^2\) is positive, the graph opens upwards.

So, the function is decreasing for all real values of x where x < 1.5.

Reason:

A rational number is a fraction of any two integers, as long as the denominator is nonzero. This applies to the first two answer choices.

Choices C and D are undefined because of the 0 in the denominator. You cannot divide by zero. This rules out the last two choices.

The population of the town at any given time t can be determined using the formulas provided. For example, if the town's population at time t=5 years is desired, the population can be calculated as follows:(a) P(5) = 1600 + 70(5) = 2100 people (b) P(5) = 1600(1.09)^5 = 2266.05 people

(a) P(t) = 1600 + 70t

(b) P(t) = 1600(1.09)^t

(a) In this case, the population increases by 70 people per year, so the formula for the population as a function of time is P(t) = 1600 + 70t. This means that the population is 1600 people at time t=0 and increases by 70 people for each additional year.

(b) In this case, the population increases by 9 percent each year, so the formula for the population as a function of time is P(t) = 1600(1.09)^t. This means that the population is 1600 people at time t=0 and increases by a factor of 1.09 (9 percent) for each additional year.

The population of the town at any given time t can be determined using the formulas provided. For example, if the town's population at time t=5 years is desired, the population can be calculated as follows:

(a) P(5) = 1600 + 70(5) = 2100 people

(b) P(5) = 1600(1.09)^5 = 2266.05 people

Learn more about population here

https://brainly.com/question/19538277

#SPJ4

Answer:

I am guessing , atleast 8

Step-by-step explanation: