You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 8x + 7 and the path of the dog is modeled by y = 2x + 7, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?

Yes, they intersect at the coordinates (0, 7) and (3, 13)
Yes, they intersect at the coordinates (0, 7) and (6, 19)
Yes, they intersect at the coordinates (0, 7) and (7, 21)
No, the paths do not cross

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substitute given values into the equation:

[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]

[tex]\implies y=8000(1.045)^x[/tex]

So the graph will have a y-intercept of (0, 8000)

Recall that domain is in x axis

Thus from the graph we can see,

the domain is  x ≥ -1   and x ≤ 3

Thus final domain: -1 ≤ x ≤ 3

Answer:

[tex]\textsf{domain:}\quad-1\leq x\leq 3[/tex]

[tex]\textsf{range:}\quad\dfrac{16}{3}\leq y\leq 27[/tex]

Step-by-step explanation:

Information

Domain of a function: set of all possible input values (x-values)

Range of a function: set of all possible output values (y-values)

Closed circle:  less than or equal to and greater than or equal to (≤ or ≥).

Open circle: less than or greater than (< or >)

Domain

There is a closed dot at x = -1 and x = 3

Therefore, the domain is -1 ≤ x ≤ 3

Range

To calculate the exact range, we need to figure out the equation of the function (as it is difficult to read the exact value of y at x = -1).

From inspection of the graph, we can identify the following ordered pairs:

(1, 12)  (2, 18)  (3, 27)

General form of an exponential equation: [tex]y=ab^x[/tex]

Inputting the first two ordered pairs into the exponential equation:

[tex]\implies ab^1=12[/tex]

[tex]\implies ab^2=18[/tex]

Dividing the equations to find b:
[tex]\implies \dfrac{ab^2}{ab^1}=\dfrac{18}{12}[/tex]

[tex]\implies b=\dfrac32[/tex]

Inputting b into the first equation to find a:

[tex]\implies \dfrac32a=12[/tex]

[tex]\implies a=8[/tex]

Therefore, the equation of the function is: [tex]y=8\left(\dfrac32\right)^x[/tex]

Input  [tex]x = -1[/tex]  into the equation to find y:

[tex]\implies 8\left(\dfrac32\right)^{-1}=\dfrac{16}{3}[/tex]

Therefore, the range is [tex]\dfrac{16}{3}\leq y\leq 27[/tex]

Answer:

How many players in the starting line up ???

If 1 then its 15 ways

If 2 then its 15 × 14 = ___

If 3 then its 15 × 14 × 13 = ___

Answer:

I believe the answer is #3 c=kv because you need to find c and it varies based on k and v.

Step-by-step explanation:

Answer:

0.15 cubic meters

Step-by-step explanation:

Formula volume = π x radius² x height

Answer

πr2h

Step-by-step explanation:

What do 12y and 8y represent?  You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.

Answer:

The answer is 70

Step-by-step explanation

Add 15 by 15 for each side then add 20 by 20 for each other side

Answer:

B   or  C

Step-by-step explanation:

B area =  2 ( 6 x5 + 5 x 4  + 4 x 6) = 148 square feet

C area = 2 ( 8x3 + 3x7 + 7x8) = 202 sq ft

Answer:

12 m

Step-by-step explanation:

3 ⅔

= 3 + 2/3

= 9/3 + 2/3    { LCM = 3 }

= ( 9 + 2 ) / 3

= 11/3

In the diagram,

Length ( l )= x m

Breadth ( b ) = 3 ⅔ m = 11/3 m

Given that area of the rectangle = 44 m²

Formula : -

Area of the rectangle = lb

lb = 44

x * 11/3 = 44

x = ( 44 * 3 ) / 11

x = 4 * 3

x = 12 m

Therefore,

the missing length = 12 m

Answer:

59.55555555555556

Step-by-step explanation:

Answer:

x=11 and t=6

Step-by-step explanation:

If ABC and KLM are approximately equal, 44 degrees=4x and 18 inches=3t.

44/4=11

18/3=6

[tex]\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}[/tex]

Answer:

Step-by-step explanation:

To solve this problem, you need to determine the volume of the prism.

Volume of the prism formula:

[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]

Multiply them all together.

[tex]\sf{8*15.2*5.8=\boxed{\sf{705.3}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Option D, [tex]705.3\ cm^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of a rectangular prism

[tex]V = l * w * h[/tex]

[tex]V = (15.2\ cm) * (8\ cm) * (5.8\ cm)[/tex]

[tex]V = 705.28\ cm^3[/tex]

Answer:  Option D, [tex]705.3\ cm^3[/tex]

Answer:

3 and 7,

7 and 11,

13 and 17

Step-by-step explanation:

Prime numbers have exactly two factors, the number itself and 1. This just means that nothing "goes into" these numbers. Example: 7. 7 is a prime number; the only number that goes into 7 is 7 (and 1)

First, find all the prime numbers that are less than 20:

2, 3, 5, 7, 11, 13, 17, 19

Next find the pairs that are 4 units apart. 3 and 7 works.

7 - 3 is 4

Also, 13 and 17 works, and 7 and 11.

[tex]y=-6x+12\\\\\text{When}~ x = -1\\\\y=-6(-1)+12 = 6+12 = 18[/tex]

Answer:

B

Step-by-step explanation:

45 items is not a reasonable number, as the suitcase itself probably weighs about 20 pounds, and the likeliness of each item weighing about 1/2 a pound is unreasonable.

Answer:

The answer is 31.

Step-by-step explanation:

Since Beau's suitcase weighs 40 pounds he packed at least 35 items. Anything less than 35 items couldn't be possible.

See attachment. I got it right on my quiz:)

Answer:

$ 39,576.93

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

For every two boys, there are three girls, so divide 120 by 2 = 60

Multiply 60 by 3 = 180

Total number of students in school: 120 + 180 = 300

Answer:

The quantity we sold more than the competitors is 161.

What are percentages?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

How much more did we sell?

Quantity sold more = percentage sold more x number sold by competitors

46% x 350

0.46 x 350=161.

Answer:

I try my best to give you answer

Answer:

  A.  -3

Step-by-step explanation:

We recognize the given equation as being in point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

Comparing that to the given equation ...

  y -5 = -3(x -17)

we see that m = -3.

The slope of the line is -3.

Answer:

Rosie has walked 163.8 kilometers by the 10th day,

Step-by-step explanation:

We know that the first day is 18 kilometers.

90% = 0.9

0.9 x 18 = 16.2

There are 9 more days

16.2 x 9 = 145.8

Now we add the first day

145.8 + 18= 163.8

Answer:

C

Step-by-step explanation:

4+(8/2)

Bidmas

4+4 = 8

Answer is C

Ask me for any questinosss

And brainliest would be appreciated :)

Answer:

d=8

8/2

4

4+4=8

the answer is (c) 8

Answer:

102cm^2 - hope this helps

Step-by-step explanation:

find the area of the rectangle first in the middle

which equals 6 x 13 = 78cm^2

then find the traingles on the side

(6 x 4) / 2 = 12

there are 2 traingles so it would be 12 + 12 = 24

so all together the area would be 78 + 24 = 102cm ^2

This is the list of choices that accompany that question:

A) The number is greater than 2. ---> FALSE BECAUSE IT INCLUDES GREATER THAN 10, AND 10 IS THE LAST NUMBER OF THE SET.

B) The number is not divisible by 5. ----> FALSE BECAUSE 10 IS DIVISIBLE BY 5.

C) The number is even or less than 12. ---> THIS CAN BE RIGHT BECAUSE 1) ALL THE NUMBERS SHOWN ARE EITHER EVEN OR LESS THAN 12 AND THE DEFINITION, AND 2) THE DEFINITION DOES NOT INCLUDE A NUMBER OUT OF THE NUMBERS SHOWN.

D) The number is neither prime nor composite. ---> FALSE BECAUSE ANY NUMBER IS EITHER PRIME OR COMPOSITE.

E) The square root of the number is less than 3. ---> FALSE BECAUSE THE SQUARE ROOT OF 10 IS GREATER THAN 2.

Answer:

  (x, y) = (2 35/74, 2 25/74)

Step-by-step explanation:

The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.

__

A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...

  b(x-h) -a(y-k) = 0

For the given line and point, the perpendicular line will be ...

  7(x -2) +5(y -3) = 0

  7x +5y -29 = 0

Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...

  Δ = (-5)(5) -(7)(7) = -74

  Δx = (7)(-29) -(5)(-4) = -183

  Δy = (-4)(7) -(-29)(-5) = -173

  x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730

  y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378

__

For more on the cross multiplication method, you can read ...

https://brainly.com/question/26397343

Answer:

I think it's D.

Step-by-step explanation:

The grid is divided into 100 smaller squares, with 10 squares in each row. 25 squares out of 100 squares are shaded. 25% of the grid is shaded and 25% belongs to 20% so the grid that's 2/5 shaded it's D.

Answer:

11.3 ft

Step-by-step explanation:

[tex]V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)[/tex]

Since, gravel is in the shape of right circular cone.

[tex]\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft[/tex]

Answer:

Step-by-step explanation:

It looks like the solution is the first set of data

{1, 4, 6, 10, 12, 14, 19, 20, 25 }

because: median is 12, Q1 is 6, Q3 is 19, yet the range is from 1 to 25 while the range of the box and whisker plot is 1 to 24.

So theoretically none of those sets represents the box plot.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The conjugate of given complex number is ~

[tex]\qquad \tt \dashrightarrow \: \overline{z} = - 12i[/tex]

Conjugate of a complex number is the same number with its imaginary part having opposite sign.

Eg. if z = a + i b

Then it's Conjugate = a - i b