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4 years ago

Can someone pease help

Mathematics

1 answer:

Hatshy [7]4 years ago

5 0

ANSWER

$f(1) = - 34$

$f(n) = f(n - 1) + 13$

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

$f(1) = - 34$

The common difference is

$d = 5 - - 8$

$d = 5 + 8 = 13$

The recursive definition is given by;

$f(n) = f(n - 1) + d$

$f(n) = f(n - 1) + 13$

for n=2,3,4,...

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Work out the area of this circle, Take pi to be 3.142 and give your answer to 1 decimal place.

Westkost [7]

Answer:

Step-by-step explanation:

radius (r) = 4 cm

area of the circle

= π * r²

= 3.14 * 4 * 4

=50.24 cm²

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3 years ago

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The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along line segment AB so

bekas [8.4K]

Answer:

(-1,5)

Step-by-step explanation:

When a line segment is divided in the ratio m:n, we use the section formula to determine the point P which divides the line segment:

The coordinates of x and y are:

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

Given:

$A(x_1,y_1)=(-7, 4)\\B(x_2,y_2)=(8, 9)\\AP:PB=m:n=2:3$

The coordinates of P is:

$(x,y)=\left(\dfrac{2*8+3*-7}{2+3}, \dfrac{2*9+3*4}{2+3}\right)\\=\left(\dfrac{-5}{5}, \dfrac{25}{5}\right)\\\\=(-1,5)$

7 0

3 years ago

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring

andre [41]

Answer:

The number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be $x.$

And let the number of sliders in the combination meal be $y.$

So, the total number of onion rings and sliders are:

$x+y=5\\\\y=5-x\ \ \ .....(1)$

Now, the total number of calories each onion rings and sliders has:

$x(65)+y(250)=695$

Substituting the value of $y$ from equation (1) we get:

$x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695$

Subtracting both sides by 1250 we get:

$-185x=-555$

Dividing both sides by -185 we get:

$x=3.$

The number of onion rings in the combination meal = 3.

Now, substituting the value of $x$ in equation (1) we get:

$y=5-x\\\\y=5-3\\\\y=2.$

The number of sliders in the combination meal = 2.

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

8 0

3 years ago

I don’t understand this someone pls help

omeli [17]

To solve this, you need to plug in the numbers for h.

-4(-12) ≥ 8 48 ≥ 8 yes

-4(-7) ≥ 8 28 ≥ 8 yes

-4(-5) ≥ 8 20 ≥ 8 yes

-4(-3) ≥ 8 12 ≥ 8 yes

-4(-2) ≥ 8 8 ≥ 8 yes

-4(-1) ≥ 8 4 ≥ 8 no

-4(1) ≥ 8 -4 ≥ 8 no

-4(3) ≥ 8 -12 ≥ 8 no

-4(8) ≥ 8 -32 ≥ 8 no

Hope this helped!

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3 years ago

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aliina [53]

Answer:90 km

Step-by-step explanation:

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3 years ago

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