MATHEMATICS HIGH SCHOOL

Can someone help me out with this

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50

Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}

b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61

c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴

In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ

d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵

In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ

e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵

Related Questions

the principal likes to keep the ratio of students to teachers at 24:1 if he has hired 32 teachers then how many students are expected to enroll
Wright a trinomial that has 9 x squared as the GCF of its terms
How many solutions does the following system of linear equations have? y=-6x+6 y=5x+1
Write a program that calculates how many days it takes to accumulate at least $1,000,000 if someone deposits one penny on the first day, two pennies the second day, four pennies on the third day and continues to double each day. The output should display the number of days
A graph is constructed such that time (in hours)is the x-variable and distance (in miles) is the y-variable. If you plot the distance that the car travels on the graph traveling at a speed 60 miles per hour, what is the slope of the graph?

What is the value of the expression when a = 5 and b = 3? 4a^2 5b^3a. 55
b. 74
c. 81
d. 145

Answers

$4a^25b^3\n\nsubtitute\ the\ values\ of\ a=5\ and\ b=3\ to\ the\ expression:\n\n4(5^2)\cdot5(3^3)=4(25)\cdot5(27)=100\cdot135=\boxed{13,500}$

Find value of X in the given right triangle.

Answers

Answer:

44.4

Step-by-step explanation:

it is a right angled triangle so

with reference angle x

perpendicular (p) = 7

hypotenuse (h) = 10

so Now

sin x = p/h

sin x = 7 / 10

x = sin^-1( 7/ 10)

x = 44.42°

Rounding to nearest tenth

= 44.4°

Answer:

7.1

Step-by-step explanation:

you use the Pythagorean theorem to solve this problem. a^2+b^2=c^2.

you are finding value of b plug the variables in = 7^2+b^2=10^2

=49+b^2=100

subtract 49 from both sides

b^2=51

Square root of 51 =7.141 round to nearest tenth =7.1

Look down below for question

Answers

the maximum amount of time the skier is in the air would be the time to "fall" the 50 meters.

$distance = 1/2 a t^2$

$50 = 1/2 (9.8) t^2$

$t= 3.2 seconds$

Enter the range of values for x: 48° 2x-12 16 22 AB=AD

Answers

Answer:

6<x<30

Step-by-step explanation:

x is between x and 30

greater than 6 but less than 30

I hope it helps!

Answer:

its 6 I just took the assignment

How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four

Answers

Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

In a train yard, there are 6 flatcars, 7 boxcars, and 3 livestock cars. A train is made up of 9 cars.Which would you use to find the number of ways the train could be made up?

Answers

The number of ways the train could be made up are 4,151,347,200.

What is permutation?

A permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Now the given cars are 6 flatcars, 7 boxcars, and 3 livestock cars.

So the total number of cars, n = 6 + 7 + 3

= 16

Now, a train is made up of 9 cars,

Therefore, r = 9

Hence the required number of ways the train could be made is nPr

nPr = n!/(n-r)!

nPr = 16!/(16-9)!

nPr = 16!/7!

nPr = 16*15*14*13*12*11*10*9*8

nPr = 4,151,347,200

Hence,the number of ways the train could be made up are 4,151,347,200.