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3 years ago

Nth term of this sequence 5 10 15 20 25

Mathematics

1 answer:

Nady [450]3 years ago

5 0

The Nth term is 5n ie 5 times 1 is 5 : 5*2 is 10 5*3 is 15 therefore the Nth term is 5n

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List all the factors of 16

maksim [4K]

Answer:

1,2,4,8,16

Step-by-step explanation:

7 0

3 years ago

Can someone solve for x please

aleksandrvk [35]

Answer:

x=-4

Step-by-step explanation:

The two lines are parallel, so the two angles, 45 and x+49 are equal too

Lets make the equation

x+49 = 45

x = 45-49

x = -4

If my answer is incorrect, pls correct me!

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-Chetan K

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3 years ago

sam has to climb to the top of the building for his firefighter training. he doesn’t know how high it is. he is 6ft y’all and hi

Virty [35]

The height of building is 35 feet

Solution:

Given that,

Sam is 6 feet tall and his shadow is 3.6 feet tall

The shadow of building is 21 feet long

To find: height of building

We can solve this by setting up a ratio comparing the height of the building to the height of the Sam and shadow of the building to the shadow of the Sam

Let us consider,

$h_b$ = height of building

$h_m$ = height of Sam

$s_b$ = shadow of building

$s_m$ = shadow of Sam

Therefore,

$\frac{\text {height of building}}{\text {shadow of building}}=\frac{\text {height of Sam}}{\text {shadow of Sam}}$

$\frac{h_{b}}{S_{b}}=\frac{h_{m}}{S_{m}}$

Substitute the values,

$\begin{aligned}&\frac{h_{b}}{21}=\frac{6}{3.6}\\\\&h_{b}=\frac{6}{3.6} \times 21\\\\&h_{b}=35\end{aligned}$

Thus height of building is 35 feet

5 0

3 years ago

Find all values of k for which the function y=sin(kt) satisfies the differential equation y′′+16y=0. Separate your answers by co

VashaNatasha [74]

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

4 0

3 years ago

Match the terms to their definition. 1. radical expression eliminate the radical from the denominator of a fraction 2. rationali

Vesnalui [34]

radical expression - an expression that contains a radicalrationalize - eliminate the radical from the denominator of a fractionradicand - the expression under a radical symbolrational number - a number that can be written as a ratio of two integers in the form a/b where b does not equal 0

6 0

3 years ago

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