HELP ASAP When solving the equation which is the best first step to begin to simplify the equation ? -2(×+3)=-10?

Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

[tex]x^2 = y^2 + z^2\\[/tex]

Let's substitute the values and solve

[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]

Fossett's balloon is 180m from the shore

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*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

Answer:

false...I don't think so it's a function.

Answer:

A. dilation by a scale factor of 1/3

B. translation to the left 4 units

C. translation down 3 units

Step-by-step explanation:

On a coordinate plane,

triangle A has points (3, 3), (6, 3), (6, 9).

Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2).

Determine all the transformations needed to transform the pre-image, A, to the image, A'.

Select all that apply, given

A=(3,3),(6,3),(6,9)

A'=(-2,-1),(-2,-2),(-3,-2)  possible typo, should read

A'=(-2,0),(-2,-2),(-3,-2)

dilation by a scale factor of 1/2

dilation by a scale factor of 1/3

reflection over the x-axis

translation to the left 4 units

translation down 3 units

If the typo correction is valid, then the transformatitons are:

A. dilation by a scale factor of 1/3

B. translation to the left 4 units

C. translation down 3 units

Answer:

its actually b d e

Step-by-step explanation:

Answer:

A)n= 703.96

B)n= 602.308

Step by step Explanation:

Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

Then z/2 = 1.645

And M = 3.1% = 0.031

A)Nothing is known therefore,

p = q = 0.50

E=0.031

For 90% confidence, z = 1.645

n = (zα/₂)²(p)(1-p)/M²

n= 1.645²× 0.5 × 0.5/0.031²

n= 703.96

Therefore, 703.96randomly selected air passengers must be​ surveyed to be 99%

B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35

n = (zα/₂)²(p)(1-p)/M²

n= (1.645²× 0.31 × 0.69)/0.031²

n= 602.308

Hence, 602.308 randomly selected air passengers must be​ surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

Answer:

A = 4x^2 + 120x

Step-by-step explanation:

(39+2x)(21+2x)-(39*21) = 819 + 78x + 42x + 4x^2 - 819

A = 4x^2 + 120x

Answer:

a)1280 bacteria

Step-by-step explanation:

We find the function in t hours first

Bacteria in a petri dish doubles every 10 minutes. (Express in exponential function)

a) If there are 10 bacteria initially, how many are there after 120 minutes?

b) If there are 10 bacteria initially, when would there be a million bacteria?

The formula to use is given as

y = Ab^t

Where

y = Total Population of bacteria

B= initial population of the bacteria

r =

t = time in hours

The bacteria doubles in the petri dish every 10 minutes, we have 10 bacteria

10 minutes in hours = 10/60= 1/6 hours

10 × 2 = 10b^10/60

20 = 10b ^1/6

2 = b^1/6

Multiply both sides by Power of 6

2^6 = b

b = 64

Hence, y = 10×(64)^t

a) If there are 10 bacteria initially, how many are there after 120 minutes?

120 minutes in hours = 2

y = 10(64)²

y = 1280

There would be 1280 bacteria after 120 minutes

b) If there are 10 bacteria initially, when would there be a million bacteria?

y= 1,000,000

A = 10 bacteria

b = 64

t = ???

1000000 = 10 × (64)^t

Divide both sides by 10

100000 = (64)^t

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

Together, in 1 minute they can peel:

To peel all the potatoes they need:

So it will take them 18 minutes to peel all the potatoes

Answer:

136 cm^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 12+22) *8

   = 1/2 (34) * 8

   = 136 cm^2

Answer:

144

Step-by-step explanation:

Answer:35 square

Step-by-step explanation:

Answer:

Hope it helps you

Answer: I got it wrong so here's the right answer !!

Step-by-step explanation:

Answer:

The perimeter of the shape is (7x²+10x+81) inches.

Step-by-step explanation:

When finding the perimeter of a shape, you have to add up all the side lengths :

[tex]p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)[/tex]

[tex]p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30 [/tex]

[tex]p =( 7 {x}^{2} + 10x + 81) \: inches[/tex]

Answer:

[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]

Step-by-step explanation:

[tex]x^4+9[/tex]

[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].

Apply the formula for the difference of two squares.

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

[tex]-9=3i^2[/tex]

[tex]x^4=(x^2)^2[/tex]

[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)

Answer:

Step-by-step explanation:

The domain is the horizontal extent: (-∞, ∞).

The range is the vertical extent: (-2, ∞).

__

To find the average rate of change, we first must locate the points on the graph at the ends of the interval:

  (0, -1), (1, 1)

The average rate of change is computed as ...

  (f(0) -f(1))/(0 -1) = (-1 -1)/(-1) = 2

The average rate of change on the interval [1, 0] is 2.

_____

Comment on the problem statement

We usually expect to see an interval designated with the left end first. That is, the interval between 0 and 1 would normally be written as [0, 1].

In the graph the line shifted down by 3 units, so k=3. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph,

The coordinates of line red are (0, 5) and (3, 6)

Here, slope (m) = (6-5)/(3-0)

= 1/3

Substitute m=1/3 and (x, y)=(0, 5) in y=mx+c, we get

5=1/3 (0)+c

c=1/3

Now, g(x)=1/3 x

The coordinates of line blue are (0, 2) and (3, 4)

Here, slope (m) = (4-2)/(3-0)

= 2/3

Substitute m=2/3 and (x, y)=(0, 2) in y=mx+c, we get

2=2/3 (0)+c

c=0

So, f(x)=2/3 x

From the graph the line shifted down by 3 units

Therefore, option B is the correct answer.

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Answer:

7 < x < 34

Step-by-step explanation:

The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

Answer:

7 < x < 34

it just is

Answer:

A.9x – 13.2

Step-by-step explanation:

2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2

Answer:

It is A

Step-by-step explanation:

Answer:

the correct option is A

Step-by-step explanation:

hope this helps

Using the standard normal distribution table, the probability of having a Zscore less than 0.97 would be 0.8340

To obtain the probability z P(Z < 0.97) ; we use a standard normal distribution table or a Z probability calculator ;

Using a normal distribution table :

Therefore, the most appropriate option is 0.8340

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Answer:

Step-by-step explanation:

To evaluate the derivative of this function you need the chain rule. The pattern I teach to my calculus students is to find

u =

u' =

f(u) =

f'(u) =

First pick your "u". u will be the inner function, the one inside the parenthesis.

u' will then be the derivative of u.

f(u) is the function in terms of u, and

f'(u) is the derivative of the function in terms of u.

The derivative then, finally, will be u' * f'(u). Let's begin.

Our u, or the part of the function inside the parenthesis is 3 - 2x; hence,

u = 3 - 2x

The derivative, u', then is

u' = -2

f(u) is the function in terms of u, so

f(u) = [tex]u^{-\frac{1}{2}[/tex] and the derivative in terms of u is

f'(u) = [tex]-\frac{1}{2}u^{-\frac{3}{2}[/tex]

u' * f'(u) then is

[tex]-\frac{1}{2}u^{-\frac{3}{2}*(-2)[/tex] Simplify that by subbing back in for u and multiplying -2 by -1/2 to get

[tex]y'=(3-2x)^{-\frac{3}{2}[/tex]

Answer:

-3/2

Step-by-step explanation:

The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:

slope = m = (4 - (-8)) / (-14 - (-6)) = 12 / (-8) = -3/2

The answer is thus -3/2.

~ an aesthetics lover

Answer:

m= -3/2

I hope this helps.

at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.

step-by-step

since the scale is 1 to 15,000 you simply multiply it by the 12 cm

12cm × 15,000 = 180,000

but you still have to convert it to kilometers (the measurement on the ground).

to go from centimeters to kilometers move the decimal 5 place values to the left.

final answer

1.8 kilometers

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

Answer:

the answer is B. 90°clockwise

Answer:

B. 90 Clockwise

Step-by-step explanation:

1368p3558the 688inches

Step-by-step explanation:

javaowbmwoabm bonds bajan Baum bakka bank hank is the bwbhhsjnijgio he has 5th year in my jailer and hnksksmmnalk JBL 94inches to see 38inches

Answer:

ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent

Step-by-step explanation:

The given parameters are;

The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex],   Given

ΔKLM is isosceles Δ (two equal segments),         Definition of isosceles Δ

∠LKM ≅ ∠LMK,                                                       Base ∠s of isosceles Δ are ≅

Point A is on segment [tex]\overline {KM}[/tex],                                  Given    

Point B is also on segment [tex]\overline {KM}[/tex],                          Given

Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex],                              Given

ΔAKL ≅ ΔBML,                                                       SAS rule of congruency

Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex],                                CPCTC

ΔALB is isosceles (two equal segments),            Definition of isosceles Δ

Where:

SAS = Side Angle Side

CPCTC = Congruent parts of congruent triangles are congruent.

Answer:

m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)

Step-by-step explanation:

KL=LM | Given

A ∈ KM | Given

B ∈ KM | Given

AK=BM | Given

m∠AKL=m∠BML | Base ∠ TH.

Answer:

288 km²

Step-by-step explanation:

are of one side is area of the triangle (10×9.4)/2 = 47

ground plane: 10×10 = 100

sum 4 sides and ground: 47+47+47+47+100

Answer:

Simple Interest for 1 year = 40/2 = 20

CI for 2 years = 20 + 20 + 1

The difference of Re 1 is due to the interest received on this interest.

Hence interest rate = 1/20 * 100 = 5

Interest for 1 year at 5% = 20

Hence principal = 20*100/5 = 400

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

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

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

Answer:

This is False.

Step-by-step explanation:

I hope this helped you! :)

Answer: false

Step-by-step explanation: