Pat bounces a basketball 25 times in 30 seconds. At that rate, approxiaetely how many times will Pat bounce the ball in 150 seconds?

Step-by-step explanation:

all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.

the other thing is that the sum of all angles in a triangle is always 180 degrees.

so,

B = 180 - 90 - 20 = 70 degrees

Answer:

I think this is right? hopefully, this helps.

Step-by-step explanation:

Answer:

7th measurement = -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Given

To find

we know that

Inserting the value of radius

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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Answer:

10% ?

Step-by-step explanation:

Answer:3132.9

Step-by-step explanation: you have to multiply 17.7 and 177 you will get 3132.9

Answer:

the solution (x,y) are any x and y that satisfy the equation.

One possible solution is (0,3) or x=0, y=3.

Btw, x(squared) + y(squared) =3(squared)  

is an equation of a circle centre (0,0) radius 3.

Answer:

150 feet

just writing this here bc brainly has that 20 character minimum limit

Answer:

48000

Step-by-step explanation:

After rounding each number to the criteria stated, we get the question 800 * 60. Multiply the 8 and the 6 and add the same number of zeros that are there right now. this is 48 + "000" so 48000.

Solution:

Note that:

Substitute the value of W into the formula (Area = LW).

Option C is correct.

we get htat

having the value of x. We get that

so the answer is 29

Answer:

406.4

Step-by-step explanation:

When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.

Answer:

y = 10

Step-by-step explanation:

calculate the slope m of the 2 points using the slope formula and equate to the given slope.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (10, y )

m = \(\frac{y-6}{10-5}\) = \(\frac{y-6}{5}\)

equate this expression for m to the given m of \(\frac{4}{5}\)

\(\frac{y-6}{5}\) = \(\frac{4}{5}\) ( cross- multiply )

5(y - 6) = 20 ( divide both sides by 5 )

y - 6 = 4 ( add 6 to both sides )

y = 10

Answer:

See Explanation

Step-by-step explanation:

A. f(x) = -16x² +24x + 16

0 = -8(2x² - 3x - 2) ⇒ -8(2x + 1)(x - 2) = 0 ⇒ x = -1/2, 2

B. f'(x) = -32x + 24 ⇒ 0 = -8(4x - 3) ⇒ x = 3/4

f''(x) = -32 ⇒ f''(3/4) = -32 ⇒ concave down ⇒ maximum

f(3/4) = -16(9/16) + 24(3/4) + 16 = -9 + 18 + 16 = 25

By the second derivative test, the point (3/4, 25) is a maximum.

C. 1. Plot the intercepts. 2. Plug in points. 3. Draw the curve.

Answer:coesm

Step-by-step explanation:

A1 = 7

An = 3A(n-1) + 4. According to this, A2 would be= 3*7 + 4 =25

A1 = 7, A2 = 25, then the difference is d = 18

The general formula for an aritmethic progression is An = A1 + (n -1)d

For A4 = 7 + (4-1)*18 = 61

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The point where Andrew stops is (120,0).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the perpendicular line will be,

m × 3 = -1

m = -1/3

Substitute the point in the line,

y = -(1/3)x + C

36 = -(1/3)12 + C

36 = -4 +C

C = 40

Now, the equation of the perpendicular line will be,

y = -(1/3)x + 40

The point will be due east, therefore, the value of y = 0,

0 =  -(1/3)x + 40

-40 = -(1/3)x

x = 120

Hence, the point where Andrew stops is (120,0).

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Answer:

С.

Step-by-step explanation:

From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.

150−28w

i think i dont know

The algebraic rule for the transformation is B' = (Bx + 15, By - 12)

Given data ,

To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.

Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:

B' = (Bx + dx, By + dy)

Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:

dx = 20 - 5 = 15

dy = -16 - (-4) = -12

Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)

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Answer:

$10,212.50

Step-by-step explanation:

We'll use this formula: A = P(1 + rt)

A = Final amount

P = Starting amount (10,000)

r = rate (0.005)

t = time in years (4.25)

A = 10,000(1 + 0.005 x 4.25)

A = 10,000(1 + 0.02125)

A = 10,000(1.02125)

A = 10,212.5

Answer:

26.38°  (nearest hundredth)

30.7960166... hours = 30 hours 47 mins 37 secs

Step-by-step explanation:

one knot = one nautical mile (nm) per hour

Therefore, 15-knot speed for 10 hours = 15 × 10 = 150 nm

Use cosine rule to find the distance between the ship and Barbados (blue dashed line on attached diagram).

Cosine rule:   c² = a² + b² - 2ab cos(C)

Given:

⇒ c² = 150² + 600² - 2(150)(600)cos(20°)

⇒ c² = 213355.3283...

⇒ c = 461.9040249... nm

Use sine rule to calculate smallest missing angle (red on attached diagram)

\(\sf \implies \dfrac{sin(A)}{150}=\dfrac{sin(20)}{461.9040249}\)

\(\sf \implies sin(A)=\dfrac{150sin(20)}{461.9040249}\)

\(\sf \implies A=6.376917848... \textdegree\)

Sum of interior angles of a triangle = 180°

⇒ missing interior angle (green) = 180° - 20° - 6.376917848...° = 153.6230822...°

Angles on a straight line sum to 180°

⇒ x° = 180° - 153.6230822...° = 26.376917848...°

The distance between the Ship and Barbados is 461.9040249 nm

Therefore, to calculate the time, divide the distance by the speed:

t = 461.9040249... ÷ 15 = 30.7960166... hours

Answer:

hmmmmmm c and d?

Step-by-step explanation:

I think? I might be wrong

Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

The car is about a year old if it depreciates exponentially at a rate of 9% per year

In order to know how old the car is, we will use the depreciation formula expressed below:

\(P_t=P_0e^{rt\)

Pt is the final price = 16000

P0  is the initial price = 28000

Given the rate of 0.09

Substitute the given parameters into the formula to get the time "t"

\(16000=28000e^{-0.09t}\\\frac{16000}{28000}=e^{-0.09t}\\ 0.5714=0.9139t\\t =\frac{0.5714}{0.9139} \\t=0.62\)

This shows that the car is about a year old if it depreciates exponentially at a rate of 9% per year

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Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

\(6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } \)

\( \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } \)

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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