1 A boat travels at an average speed of 15 km/h for 1 hour.
a Calculate the distance it travels in one hour.
b At what average speed will the boat have to travel to cover the
same distance in 2 hours?

Answer:

a. was incorrect a = -0.109569028 so...

y = -0.109569028(x + 7)² + 54

b. It's been the above vertex equation for a parabola then

set y = 40 equal to the parabolic equation, we get

40 = -0.109569028x² - 1.533966392x + 48.631117628

solve for x we get

x = -18.3036867393939 or ~ 18.3 feet

Step-by-step explanation:

y = a(x - h)² + k

(h, k) = vertex = (-7, 54)

x = h is the axis of symmetry -7

y = a(x -(-7))² + 54

y = a(x + 7)² + 54

solve for a by inputting the point (15.2, 0)

0 = a(15.2 + 7)² + 54

-54 = a(22.2)²

-54 = 492.84a

a = -54/492.84

a = -0.109569028

Answer

I guess so.

To find the LCM you need to know the lowest digit as possible.

For example,

Question: What is the LCM of 8 and 6?

Answer: Table of 8: 8, 16, 24, 32, 40,48

             Table of 6: 6, 12, 18, 24, 30, 36, 42, 48

Now look at the tables again and, did you see the LCM???......

If so your answer would be 24.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

h × b then Divide by 2......

It looks like the given equation says

[tex]xy^8 + e^{y/5} = e[/tex]

When x = 0, you have

[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]

Differentiating both sides with respect to x gives

[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]

That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.

Now plug in x = 0 and y = 5, and solve for y' :

[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]

Answer:

5/12

Step-by-step explanation:

opposite is on the other side of the number line. 5/12 is the answer

Answer:

0.25

Step-by-step explanation:

the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.

Answer:

[tex]q(x) =-5[/tex]

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

[tex]q(x)= \frac{1}{2}x - 3[/tex]

While we are to find:

[tex]q(x) =-4[/tex]

In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.

So, in this case,

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]

Would become

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]

Now we can solve.

[tex]\frac{1}{2}(-4) - 3[/tex]

Use PEMDAS; Parenthesis first;

[tex]\frac{1}{2}(-\frac{4}{1})[/tex]

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

[tex](-2) - 3[/tex]

[tex]-5[/tex]

Therefore, the value of x is -5

Answer:

1491

Step-by-step explanation:

1.75 times 852 equals 1491

3.5 to 2.167

2.80

Step-by-step explanation:

Answer:

I think that the answer is 3/14

Step-by-step explanation:

9/14 - 6/14 = 3/14

Answer:

here

9/14 - 6/14

=(9-6)/14

=3/14

Answer:

D. 7×10-⁷

Step-by-step explanation:

Hope this helps!!!

Answer:

i need a picture

Step-by-step explanation:

Answer:96 green pens

7x ,3x,4x

assume that the  black pens amd red pens  and green pens are sold respictely

7x.2+3x.5+4x.6=212

53x=212

x=4

number  of green pens sold

4x.6=4x4x6=96

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

Answer:

45 :)

Step-by-step explanation:

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Answer:

Step-by-step explanation:

Deposited  60000(debit)

cash 60000(credit)

Deposited 1500(debit)

cash 1500(credit)

debit 61500 credit 61500

Answer:

yes

Step-by-step explanation:

brainliest please

Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right

Answer:

the answer is 1st.

because _ ✖️ _= +

Another way to write above expression is :

Answer:

The vertical change is 1

The horizontal change is =2

The rate of change  .5

Step-by-step explanation:

Point A is at (2,1)

Point B is at (4,2)

The vertical( up and down) change is (2-1) = 1

The horizontal ( left and right) change is (4-2) =2

The rate of change is vertical over horizontal (1/2) = .5

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

1. Vertical change :

2. Horizontal change :

3. Rate of change :

Answer:

There are three answers

Step-by-step explanation:

B is the image of D

B is the image of E

C is the image of D

Answer:

B is the image of D

B is the image of E

C is the image of D

Step-by-step explanation:

Answer: 21 miles

Step-by-step explanation:

Answer: -27

Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27

Answer:

12

Step-by-step explanation:

4(1)+2(1)”3+7(1)”2-1

4+2+7-1

12

wait if x=-1 it’s zero

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]

Answer:

Hello there your answer is 12 x  +  5 y  =  − 10!

The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.

We have,

We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.

Where CE is the hypotenuse and De is the base.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we have:

CD² + DE² = CE²

Plugging in the given lengths:

CD² + 8² = 17²

CD² + 64 = 289

CD² = 289 - 64

CD² = 225

CD = √225

CD = √15²

CD = 15

Thus,

The length of the side CD which is the base of the right triangle CDE is D. 15 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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