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gayaneshka [121]
3 years ago
7

A cyclist travels 4 miles in 15 minutes and then a further 6 miles in 25 minutes without stopping.

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0
What the guy above me said
Tcecarenko [31]3 years ago
7 0

Total distance traveled = 4 + 6 = 10 miles

Total time = 15 + 25 = 40 minutes

Speed = 10 miles ÷ 40 minutes = 0.25 mph

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The function f(x) = 7(1.32)x models the number, in billions, of the DNA sequences in a database x years since 2010. What does th
NikAS [45]

Answer:

The correct option is (A).

Step-by-step explanation:

The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:

f(x)=7\cdot (1.32) x

The general growth function can be represented as:

y=a\cdot (1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time

Com-paring the two functions we get:

1+r=1.32\\r=1.32-1\\r=0.32

This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.

Thus, the correct option is (A).

7 0
3 years ago
What happens to the volume of a rectangular prism if you double the height give an example
kolezko [41]
Let's say the prisms dimensions were 2×2×2 and you doubled the height 4×2×2. 
2×2×2=8 while 4×2×2=16 
another example:
4×3×6=144 while 8×3×6=288
therefor it doubles the volume of the prism
4 0
3 years ago
You are graphing rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:
vampirchik [111]

Answer:

The given coordinates of the vertices of rectangle ABCD are A(−2,2),B(4,2),C(4,−2).

We are to plot D on the graph.

Since ABCD is a rectangle, the abscissa of D will be that of A and the ordinate of D will be that of C.

Step-by-step explanation:

3 0
2 years ago
What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction
Anni [7]

Answer:

1/13

Step-by-step explanation:

There are 4 nines in a deck so the probability is 4/52 = 1/13

3 0
2 years ago
Solve for x and y by substitution<br><br> 2x+5y=7<br> -2x+4y=15
dusya [7]
I first found x using the second equation :

-2x+4y=15
-2x = -4y+15
x =2y-7.5

Then, I substituted this value into the OTHER equation :

2x+5y=7
2(2y-7.5)+5y=7
4y-15+5y=7
9y=22
y=2.444

So you have you y value. Now, input this value into any one of the other equations (it doesn't matter which) to find x.

-2x+4y=15
-2x+4(2.444)=15
-2x+9.776=15
-2x=5.224
x=-2.612.

So the solution for this system of functions is (-2.612, 2.444).
7 0
3 years ago
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