Once the boat is 2,500 feet away from the port, it is no longer your responsibility to track it. Will the boat be 2,500 feet away after two minutes?

Answer:

B x=2 y=6

Step-by-step explanation:

For ABCD to be parallelogram, following conditions should be satisfied:

2x - 0 = x + 2 & 4y - 8 = y + 10

2x - 0 = x + 2

2x - x = 2

x = 2

4y - 8 = y + 10

4y - y = 10 + 8

3y = 18

y = 18/3

y = 6

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

Answer:

The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

The null hypothesis is accepted at 0.01 level of significance

The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch

Step-by-step explanation:

Step:-1

Given that mean of the population (μ) = 6.5 pounds/ square inch

Given that the sample size 'n' = 26

Given that mean of the sample ( x⁻) = 6.6  pounds/ square inch

Given that the standard deviation of the sample (σ) = 1.0

t₀.₀₁ = 2.7874

Step:-2

Null hypothesis:H₀:  μ = 6.5

Alternative Hypothesis:H₁: μ ≠6.5

Test statistic

         [tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]

        [tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]

       t =  0.510

 The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

Final answer:-

The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

The null hypothesis is accepted at 0.01 level of significance

The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch

50 millimeters

keystrokes

Answer:

The second summation, counting from the top.

Step-by-step explanation:

Remember the relation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

The first summation is:

4*(  (-1/2)^0 + (-1/2)^1 +  (-1/2)^2 + (-1/2)^3)

4*( 1 - 1/2 + 1/4 - 1/8) = 2.5

Now let's analyze the options.

Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.

Let's look at the next one (B), it will be equal to:

= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =

= (1/4)*( 16 - 8 + 4 - 2) = 2.5

Then this summation is the one equivalent to the first one.

Answer:

B

Step-by-step explanation:

edg 2021

Answer:

- 3.2

Step-by-step explanation:

- 5x + 4 = 20

- 5x = 20 - 4

- 5x = 16

x = 16 / - 5

x = - 3.2

Answer:

D. (4 1/2, 2 1/2)

Step-by-step explanation:

Look for each point on the coordinate graph.

Answer:

34,5 ?? I am not good at this but I did 92-23 that's 69 ÷ 2 = 34.5 ?

Answer:

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

92=12⋅23⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 23.

hh=2⋅9223=8

The height is 8 inches.

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Answer:

vanilla,cone

Step-by-step explanation:

Answer:

what are the equations?

Step-by-step explanation:

The cross-section cut by the plane yields a quadrilateral with length and width equal to the length and width of the face that is parallel to the plane.

Answer:

7 smoothies

Step-by-step explanation:

change 2 1/3 into improper fraction => 7/3

divide 7/3 by 1/3:

=> 7/3 × 3

=> 7

Answer:

2 1/3

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

[tex]x=11[/tex]

Step-by-step explanation:

[tex]∠L=(3x+27)°[/tex]

Value of x.

[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]

[All sides of triangle are equal]

[tex]∠L+ ∠K+ ∠M= 180°[/tex]

[Sum of all of triangle is 180°]

[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]

[tex]=>9x+81 =180°[/tex]

[tex]=>9x=180°-81[/tex]

[tex]=>9x=99[/tex]

[tex]=>x=\frac{99}{9}[/tex]

[tex]=>x=11[/tex]

Answer:

It has 2 equal side lengths

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

The given polynomial function is f(x)=x(x-5)(x-3).

Here, x(x-5)(x-3)=0

x=0, x-5=0, x-3=0

x=0, x=5 and x=3

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ2

Answer:

10.3

Step-by-step explanation:

6²+b²=9²

36+b²=81

b²=81-36

b²=45

b=√45

b=6.7

So CE is 6.7.

6²+b²=7²

36+b²=49

b²=49-36

b²=13

b=√13

b=3.6

so EA is 3.6

AC = CE+EA = 6.7+3.6 = 10.3

Answer:

123 degrees

Step-by-step explanation:

Answer:

123°

Step-by-step explanation:

360 - 114 - 43 - 80 = 123

Answer:

Domain:  

(

5

,

∞

)

,

{

x

|

x

>

5

}

Range:  

(

−

∞

,

∞

)

,

{

y

|

y

∈

R

}

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

Answer:

Step-by-step explanation:

we know that

1) Sheila had 1 gallon of milk

2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left

3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24

14/24-----> 7/12 gallon

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.

Answer:

Arthimatic is the answer

Answer:

28,436,297,825

30,943,267,101

45,000,000,000

Step-by-step explanation:

ur welcome

Answer: 5

Step-by-step explanation:

Answer:

b= = - 7/4 or -1.75

Step-by-step explanation:

14b +21 -2b=0

12b +21=0

12b= -21

b= -21/12

b= - 7/4 or -1.75

Answer:

i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21

Step-by-step explanation:

first, you have to set this question equal to 0.

7(2b+3)-2b=0

now you have to distribute the 7 to everything inside the parentheses.

14b+21-2b=0

combine like terms

12b+21=0

you can stop here and take this answer if this is the one you want

now subtract each side by 21

12b=-21

divide each side by 12

b=-21/12

simplify

b=-7/4

hope this helps! have a nice day :)