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2 years ago

Which statements describe an object in motion that has no external force acting on it? Check all that apply.

Mathematics

2 answers:

Step2247 [10]2 years ago

5 0

Answer: it moves at a constant speed and stays in the same direction

Step-by-step explanation:

It does this because there is no friction or nothing pushing on it therefore there is nothing to slow it down or speed it up

Katen [24]2 years ago

3 0

Answer:

2 4

Step-by-step explanation:

You might be interested in

G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared,

RUDIKE [14]

Answer:

Step-by-step explanation:

Given the function $G(x)= -\dfrac{x^2}{4} + 7$ , the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;

Rate of change of the function is expressed as g(b)-g(a)/b-a

where a - -2 and b = 4

$G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\$

$G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6$

average rate of change of g(x) over the interval [-2,4] will be;

$g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2$

6 0

2 years ago

On a map, Cary drew a set of coordinate axes. He noticed that the town of Coyner is located at the point (3, 1) and Woottonville

sp2606 [1]

Answer:

The coordinates of the school should be at (10.5 , 4.25)

Step-by-step explanation:

We are dealing with two points here on a plane. These are:

Town of Coyner, Point A(3,1)

town of Coyner, Point B (18, 7.5)

in coordinate geometry, to get the mid point of two points we simply use the formula:

$(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})$

where x and y are the first and second points respectively

applying this formula, we have that

the mid point of the two towns is

$(\frac{3+18}{2}, \frac{1+7.5}{2})=(10.5 , 4.25)$

Hence the coordinates of the school should be at (10.5 , 4.25)

4 0

2 years ago

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>

4 0

2 years ago

A company sells Apple Cherry mix.They make large batches of the mix that can be used to fill 250 bags each. Determine how many p

Eva8 [605]

<span>Calculating the number of kg of each ingredient required per batch is nothing more than multiplying the number of kg per bag times 250. But the information given is woefully inadequate for answering the second part of the question. All you know is the cost of the ingredients and nothing about the fixed costs of running the factory, nor the company's G&A, nor the desired profit margin. If they sell just for the cost of the ingredients, they would go broke in a month.

</span><span>John
e^i^pie + 1 = 0</span>

5 0

2 years ago

the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place

Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0

2 years ago