MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 3.6×107(2.5×106)(1.6×103)3

.

6

×

10

7

(

2

.

5

×

10

6

)

(

1

.

6

×

10

3

)

?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

10 -? =3

10-3 =7

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Solve for x and y simultaneously: X-2y=3 4xsquared-5xy+6y=3
A physical fitness association is including the mile run in its secondary- school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.
6 times the sum of a number and 15 is -42
A square has perimeter 12x. Find an expression, in terms of x, for the area of the square. Give your answer in its simplest form.
This dot plot shows the number of cakes sold each day in aunt alice's cake shop last month. what is the median number of cakes sold each day?

Find the slope of the line containing the points (-1,6) and (2,1).

Answers

$(x_1;\ y_1);\ (x_2;\ y_2)\n\nm=(y_2-y_1)/(x_2-x_2)\n==========================\n\n(-1;\ 6);\ (2;\ 1)\n\nm=(1-6)/(2-(-1))=(-5)/(2+1)=(-5)/(3)=-1(2)/(3)$

T multiplied 3/4 for t= 8/9

Answers

Answer: 2/3 or 0.6

Step-by-step explanation:

A car with a cost of $25,000 is decreasing in value at a rate of 10% each year. The function g(t)= 25,000(0.9)^t gives the value of the car after t years. When will the value of the car be about $12,000? A) after 7 years B) after 9 years C) after 13 years Could you also explain how to do it?

Answers

12,000 = 25,000 $(0.9)^(t)$
Divide both sides by 25,000 → 0.48 = $(0.9)^(t)$
Convert to log form → $log_(0.9)$ 0.48 = t
Use the change of base formula → $(log 0.48)/(log 0.9)$ = t
Plug into the calculator → 6.966 = t

Answer: A

For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13 or 0.385.

Answer:

5/13

Step-by-step explanation:

What is -2+6y=18 3y=15 ?

Answers

$-2+6y=18\ \ \ |add\ 2\ to\ both\ sides\n6y=20\ \ \ \ \ |divide\ both\ sides\ by\ 6\ny=(20)/(6)\n\n\boxed{y=(10)/(3)}\n---------------------\n\n3y=15\ \ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{y=5}$

$\left \{ {{-2+6y=18} \atop {3y=15}} \right. \n +2+2 \left \{ {{6y=20} \atop {3y=15}} \right. \n /3/3 \left \{ {{6y=20} \atop {y=5}} \right.\n /6/6 \left \{ {{y=3 (1)/(3) } \atop {y=5}} \right.$

What are the solutions to the equation x-7/x=6? a. x=-7 and x=1
b. x=-6 and x=-1
c. x=-1 and x=7
d. x=1 and x=6

Answers

$x - (7)/(x) = 6$
$(x^(2))/(x) - (7)/(x) = 6$
$(x^(2) - 7)/(x) = 6$
$x^(2) - 7 = 6x$
$x^(2) - 6x - 7 = 0$
$x^(2) - 7x + x - 7 = 0$
$x(x) - x(7) + 1(x) - 1(7) = 0$
$x(x - 7) + 1(x - 7) = 0$
$(x + 1)(x - 7) = 0$
$x + 1 = 0$ $or$ $x - 7 = 0$
$x = -1$ $or$ $x = 7$

Answer:

Step-by-step explanation:

The equation is $x-(7)/(x)=6$

LCM of the denominator on the left side gives us:

$(x^(2)-7)/(x)=6$

Cross multiplying and arranging gives us:

$x^(2)-7=6x\nx^(2)-6x-7=0$

This is a binomial, to factor this, we have to think of 2 numbers that multiplied gives us $-7$ [the constant term] and added gives us $-6$ [the coefficient of x].