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Tomtit [17]
3 years ago
8

trey went to the batting cages to practice hitting. he rented a helmet for $4 and paid $0.75 for each group of 20 pitches. if he

spent a total of $7 at the batting cages, how many group of pitches did he pay ?
Mathematics
1 answer:
Digiron [165]3 years ago
5 0
First subtract 4 from 7 since they are just asking for the amount he paid for pitches. Then, take the difference (3) and divide it by .75 to get your answer (4 groups).
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During the month of April, Dora kept track of the bogs she saw in her garden. She saw a ladybug on 23 days of the month. What is
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3 years ago
(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla
natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}

    =\sqrt{1+1}\\\\=\sqrt{2}

calculating unit vector:

\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}

the point Q is at a distance h from P(6,6) Here, h=0.1  

a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071

the value of Q= (5.92928 ,6.07071  )

In point b:

Calculating the directional derivative of f (x, y) = \sqrt{x+3y} at P in the direction of \vec{v}

f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\

            =\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557

\vec{v} = 1.97651557

In point C:

Computing the directional derivative using the partial derivatives of f.

f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot   \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}

4 0
2 years ago
(5 4 – 2) × (–2) = ? <br> a. 22 <br> b. –14 <br> c. 14 <br> d. –22
tamaranim1 [39]
The correct answer is b. -14
:)
6 0
3 years ago
2(10 – 24x) + y2<br> What is X equals<br> What is Y equals <br> What is the answer
kakasveta [241]

Answer:

X= 5/12 + 1/24y  

Y= -10 + 29x

Step-by-step explanation:

2(10- 24x)+ 2y                          2(10- 24x)+ 2y

20 - 48x +2y                            20 - 48x +2y

48x =20 +2y                            -2y = 20- 48x

/48   /48  /48                           /-2    /-2    /-2

x= 5/12 + 1/24y                         y= -10 +29x

8 0
2 years ago
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