All categories

3 years ago

Lily model car covers 250 m in 5 minutes. what is the average speed of her car?

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

50m per 1 minute

Step-by-step explanation:

250m/5 min=50/1

pls mark brainliest!! i only need one more!

You might be interested in

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

2 years ago

If f(x) = 5x^2– 3 and f(x + a) = 5x^2+ 30x + 42,<br> what is the value of a ?

Andrei [34K]

Answer:

The zeros are x=0,3,-2

There is a multiplicity of 1 for all of them.

Step-by-step explanation:

8 0

2 years ago

if content settles for 1 1/2 hours before the liquid is remove .You fill the tank at 1:45 a.m when do you remove the liquid

artcher [175]

U fill the tank at 1:45 a.m......then u wait 1 1/2 hrs....

1:45 + 1 hr = 2:45.....2:45 + 30 minutes (because 1/2 hr = 30 minutes) =
3:15.....so u remove the liquid at 3:15 a.m.

3 0

2 years ago

Find the surface area of each figure.<br> 6 yd<br> 9 yd<br> 4.1 yd

Tju [1.3M]

To help find surface area you can add up all of the sides of the shape and multiply it by its height

5 0

2 years ago

What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no sol

tester [92]

Answer:

D. Infinitely many solutions

Step-by-step explanation:

$-\frac{2}{5}x-y=6 | -2x+5y=-30$

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding $\frac{2}{5}x$ to both sides.

Like this: $\frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x$

ending up with $y=6-\frac{2}{5}x$

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this $\frac{-y=6-\frac{2}{5}x }{-y}$

Ending with $y=-6+\frac{2}{5}x$

3.Now, we can plug the expression $-6+\frac{2}{5}x$ into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this $-2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\$

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.

3 0

2 years ago