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OLEGan [10]
3 years ago
9

Given the following formula,solve for tv=u+at

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

t=v-u/a

Step-by-step explanation:

t= v-u/a

we must move u to the other side and divide over a

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The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?
RideAnS [48]

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

Then factorise completely

Look at the photo above

4 0
3 years ago
Graph a line with a slope of.....
photoshop1234 [79]

Answer:

use google graph:)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

7 0
3 years ago
the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on
lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = M

Let weight on Earth be = E

Its known that:

M ∝ E

Thus

M=kE

where k is constant of proportionality.

when  E=95\ lb, then M=38\ lb

thus, we have

38=k(95)

dividing both sides by 95.

\frac{38}{95}=\frac{k(95)}{95}

∴ k=\frac{38}{95}

Thus when E= 100, M would be calculated as

M=\frac{38}{95}\times 100

M=\frac{3800}{95}

∴ M=40\ lb  (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0
3 years ago
5. Two unbiased dice are rolled. Calculate the probability that the sum of the two dice is:
IceJOKER [234]
The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6

(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12

(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6

(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
5 0
2 years ago
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