MATHEMATICS HIGH SCHOOL

If a basketball travels a distance of 4 meters in 5 seconds, what is its average speed?

Answers

Answer 1

Answer:

Answer:

Average speed, s = 0.8 m/s

Step-by-step explanation:

It is given that,

Distance travelled by a basketball, d = 4 meters

Time taken to cover that distance, t = 5 seconds

We have to find the average speed of the basketball. It is defined as the total distance covered by the basketball divided by total time taken. It can be written as :

$speed=(distance)/(time)$

or $s=(d)/(t)$

Putting the values of d and t. We get :

$s=(4\ meters)/(5\ seconds)$

s = 0.8 m/s

Hence, the average speed of the basketball is 0.8 m/s

Answer 2

Answer: The average speed is 0.8 meters per second.

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Which ordered pairs lie on the graph of the exponential function f(x)=−3^2x+5 ? Select each correct answer. (−2, 76) (3,−724) (0, 4) (1,−4)

Answers

Answer:

(0,4) (1,-4)

Step-by-step explanation:

Plugging in values, we get that (1,-4) works.

$f(1)=-3^(2*1)+5=-3^2+5=-9+5=-4$

You decide to put $175 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?. 8.0111 years.
96.1332 years.
93.2914 years.
94.8377 years

Answers

The correct answer is:

94.8377 years

Explanation:

The formula for compound interest is

$A=p(1+(r)/(n))^(nt)$ , where A is the total amount, p is the amount of principal deposited, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.

For our problem, A = 3000; p = 175; r = 3% = 3/100 = 0.03; n = 12; and t is unknown:

Divide both sides by 175:

We will use logarithms to solve this. The base of the exponent is 1.0025, so this will be the base of the log:

$\log_(1.0025)((120)/(7))=12t$

Divide both sides by 12:

3 % = 0.003 : 12 = 0.0025
175 · ( 1 + 0.0025 )^(12 x) = 3,000
175 · (1.0025)^(12 x) = 3,000
1.0025^(12 x ) = 17.142857
$12 x = log _(1.0025) 17.142857$
12 x = 1138.0524
x = 1138.0524 : 12
x = 94.8377
Answer: D ) 94.8377 years

4. Classify the triangle by its sides. The lengths of the sides are 9, 9, and 9.A) equilateral
B) scalene
C) obtuse
D) isosceles

7. Line a is parallel to line b and m.(Angle 7 ) = 135 Find m(angle 4)
A) 135
B) 145
C) 45
D) 35

8. Find the values of x and y for which the lines are parallel.
A) x = 68, y = 72
B) x = 46, y = 72
C) x = 68, y = 74
D) x = 72, y = 68

11.Look at the figure. If Angle 1 Is Congruent To angle 2 , describe the relationship between lines a and b.
A) The lines are perpendicular.
B) The lines are parallel.
C) The lines intersect.
D) The lines are transversals.

12. Find the value of x for which the lines are parallel.
A) 63
B) 71
C) 64
D) 72

Answers

Answer:

4. Option A is correct.

7. Option C is correct.

8. Option A is correct.

11. Option B is correct.

12. Option C is correct

Step-by-step explanation:

The sides of equilateral triangle are same.

It is given that lengths of the sides are 9, 9, and 9.

Since the side lengths are same, therefore the given triangle is an equilateral triangle.

Option A is correct.

It is given that the line a is parallel to line b and the measure of angle 7 is 135 degree.

$\angle 6+\angle 7=180^(\circ)$ (Supplementary angles)

$\angle 6+135^(\circ)=180^(\circ)$

$\angle 6=45^(\circ)$

$\angle 4=\angle 6$ (Alternative interior angles)

$\angle 4=45^(\circ)$

Option C is correct.

$x-3=65$ (Corresponding angles)

$x=68$

$46+65+y-3=180$ (Supplementary angles)

$y=72$

Option A is correct.

11.

If a transversal line intersect two lines are parallel lines, then their corresponding angles are same.

It is given that

$\angle 1=\angle 2$

Since angle 1 and 2 are corresponding angles, therefore we can say that the lines a and b are parallel.

Option B is correct.

12.

$x-1=63$ (Corresponding angles)

$x=64$

Option C is correct.

The answer to #4 is A equilateral because all the sides are the same. the sides are equal.
# 7 would be c, 45 you have to make sure the sum is 180 #8 is B the same goes for that on fill in x and y. #11 isD And # 12 is c the sum must be 180.

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answers

The future amount of money that is invested currently at a certain interest that is compounded annually is calculated through the equation,
F = P x (1 + i)^n
where F is the future worth, P is the present worth, i is the interest rate, and n is the number of years. Substituting the known values and variables in the given, F = ($360)(1.03)^x

Answer: $y = 360(1.03)^x$

Step-by-step explanation:

Since, the principal amount of the money = $ 360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3 %,

$= 360(1+(3)/(100) )^x$

$= 360(1+0.03 )^x$

$= 360(1.03 )^x$

Since, this amount represented by y,

Thus, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

Jerry ate 1,070 calories total at breakfast. He ate a cup of yogurt that had 150 calories in it and some granola. Each cup of granola has 230 calories. how many cups

Answers

Answer:

4 cups that's how many cups Jerry ate

Choose another correct name for the angle marked L6

Answers

Answer:

it's either llkv or lkvl

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