Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16

Answers

Answer 1

Answer:

1. 2.328×[tex]10^{22}[/tex]

2. 487

3. 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

1.[tex](25)^{2t}[/tex]

(sub for t=8)

=[tex]25^{2*8}[/tex]

=[tex]25^{16}[/tex]

=2.328×[tex]10^{22}[/tex]

2.[tex]2st^{2} -5^{2}[/tex]

(sub for s=4 and t=8)

=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]

=512-25

=487

3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)

FOR [tex]2s^{2} -t^{3/16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]

=32-32

=0


Related Questions

1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.

Answers

Answer:

Its C

Explanation

c. The atomic number and atomic mass increase from left to right across a period; energy levels

increase from top to bottom down a group.

10/3 = x/ (-5/2) what does x equal

Answers

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

1. The assessed value of the Sanchez house is $485,000. The
annual property tax is rate 2.975% of the assessed value.
What is the annual property tax on the Sanchez house?

Answers

The annual property tax on the Sanchez house is 14,428.75 $
Explication :

Multiply 485,000$ with the annual tax ( which is 2.975%) = 1,442,875 and then divide with 100 ( this is the percent from 2,975) and the result is 14,428.75$

A sphere has a radius of 6 centimeters.

Find the surface area of the sphere.

PLS HELP I'LL GIVE A LOT OF POINTS

Answers

Answer:

A sphere with a radius of 6 cm will have a surface area of about 452.39

Step-by-step explanation:

Answer: 452.39 cm^2.

SA = 4πr^2 = 4π(6)^2 ≅ 452.39 cm^2.

∴ the surface area of the sphere is around 452.39 cm^2.

Which of the following cities does NOT rely on lumber for its economy?​

Answers

Chillicothe Ohio $:&;&383992939:::

help me please i’ll do anything

Answers

Answer:

in the first one, she makes $7.50 per box

Step-by-step explanation:

looking at the graph

A company manufactures and sells x VCRs per month. If the cost and revenue equations are C(x) = 200 + 2x, R(x) = 20x − (x^2/50) , use differentials to estimate the change, ∆P, in profit when the production is increased from 100 to 101.

Answers

Answer:

ΔP  = 14

Step-by-step explanation:

Given

[tex]C(x) = 200 + 2x[/tex]

[tex]R(x) = 20x - \frac{x^2}{50}[/tex]

Required

Determine the change in profit

First, we need to determine the profit

[tex]P(x) = R(x) - C(x)[/tex]

[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]

Collect Like Terms

[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]

[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]

Differentiate wrt x

[tex]P'(x) = -\frac{x}{25} + 18[/tex]

When Profit increases from 100 to 101, the change becomes

ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx

Δx[tex]= (x_2 - x_1)[/tex]

Where

[tex]x_2 = 101[/tex]

[tex]x_1 = x = 100[/tex]

So, the expression: ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx becomes

ΔP  [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]

ΔP  [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]

ΔP  [tex]= (-4+ 18)(1)[/tex]

ΔP  [tex]= (14)(1)[/tex]

ΔP  = 14

Darren and Carl each go for a morning jog before work. Darren's jogging pace
is represented by the equation y = 5x where y is the number of miles he jogs
and x is the number of hours he jogs. Carl's pace is given by the graph.
35
28
Distance (miles)
21
14
2
3
5
Time (hours)
Choose the statement that correctly compares their unit rates.
O A. Carl's unit rate is equal to Darren's unit rate.
O B. Carl's unit rate is 2 fewer miles per hour than Darren's unit rate.
O C. Carl's unit rate is 1 more mile per hour than Darren's unit rate.
D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.

Answers

Answer: d

Step-by-step explanation:

Answer:

D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.

Step-by-step explanation:

DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!

Answers

Answer:

m = -3

Step-by-step explanation:

First, find two clear points:

(1, -2) (0, 1)

Then, use the slope formula:

m = y2 - y1

      x2 - x1

m = 1 - (-2)

       0 - 1

   = 3  = -3

     -1

m = -3

This means that the rise-over-run is -3 over 1, or 3 over -1.

Which means three down and 1 to the right, or 3 up and 1 to the left.

Slope is the steepness of the line.

Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6

Answers

When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.

Are these questions different at all? And if so whats the answer to them?

Answers

Answer:

i think u got it

Step-by-step explanation:

pls help meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

kya pls help meeeeeeeeeeeeeeee.

please thanks and follow me.

Help APSP!!!!!!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

Answer

its d

Step-by-step explanation:

Which number has the same absolute value
as 8

Answers

Answer:8

Step-by-step explanation:

In the diagram, bisects ABC. Find mABD and mDBC

Answers

Answer:

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees

Subtract the equation
-7 - 12 =

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Plz help help me it’s so hard

Answers

Answer:

It's the second answer choice

Step-by-step explanation:

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?

5h+8
8h+5
7h+11.2
11.2h+7

Answers

Answer:

the answer is A.

Step-by-step explanation:

The 7 work days is represented by a linear equation

The expression that represents her gross pay each day is 5h + 8

What are linear equations?

Linear equations are equations that have constant rates

How to determine the linear equation

The earning at the end of 7 work days is represented as:

35h + 56

To calculate the gross pay, each day:

We divided the total earnings by 7

So, we have:

[tex]Gross =\frac{35h + 56}{7}[/tex]

Evaluate the quotient

[tex]Gross =5h + 8[/tex]

Hence, the expression that represents her gross pay each day is 5h + 8

Read more about linear equations at:

https://brainly.com/question/14323743

help bro I give you brailess no cheating
Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours.If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Answers

Answer:

400 calories per hour in the first 3 hours

Step-by-step explanation:

The c.o.p for the first 3 hours is 400

Dexter rode his bike 2 kilometers. Then, he walked 955 meters more to go fishing. How many total meters did Dexter travel to go fishing?

Answers

Answer:

The Answer is 2955.

Step-by-step explanation:

First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.

Answer:

2955

Step-by-step explanation:

Is the answer x=6????

Answers

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

Determine the intercepts of the graph below please help be sure of your answer

Answers

Answer:

y= 0, .4

x= .3, 0

Step-by-step explanation:

and thats the way the cookie crumbles.

Suppose n(t) = -51^2 + 10t + 3 represents the height of a

diver above the water (in meters), 1 seconds after

the diver leaves the springboard. Which of these

statements is true?

(А)

After 1 second, the diver will be 3 feet above

the water.

B

After 5 seconds, the diver will be 25 feet above

the water.

С

After 1 second, the diver will be 8 feet above

the water.

D

After 5 seconds, the diver will be 78 feet above

the water.

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).

What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2

Answers

so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.

12/72= 1/6

the correct answer is c 1/6

The scale factor of triangles ABC and DEF is 6.

Option A is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

From the triangles,

The ratio of the corresponding sides of the two triangles must be equal.

The value of the ratio is the scale factor.

So,

AB/DE = BC/EF = AC/DF

This can be written as,

72/12 = 66/11 = 42/7

6 = 6 = 6

Thus,

The scale factor of triangles ABC and DEF is 6.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ5

18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.

Answers

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

Someone Help Me Please. ?

Answers

Answer:

I’m guessing number 3

Step-by-step explanation:

What is the interquartile range of the following data set?3,8,14,19,22,29,33,37,43,49

Answers

Q1: 14
Q3: 37
Interquartile: 37-14 = 23

THE ANSWER IS 23

(Brainliest please?)

The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?

Answers

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

most ants can lift 50 times their own weight. If an ant weighs 5 milligrams, how many ants would it take to lift a 500 gram bag of sugar?​

Answers

Answer:

2000

Step-by-step explanation:

5*50=250 mg

250*4=1000 mg

1000*500=500 m

4*500=2000

It would take 2,000 ants to hoist a 500-gram bag of sugar.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, most ants can lift 50 times their own weight.

also given every ant has 5 mg weight.

So, 1 ant can lift = 5mg * 50 = 250mg

Since 1 gram has 1000 mg

Ant can lift = 1/4 grams

thus,

1/4 gram of sugar can be lifted by = 1 ant

1 gram of sugar can be lifted by = 4 ant

500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants

Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ2

The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle’s width?

Answers

Answer:

Width = 4 feet

Step-by-step explanation:

Let l = length

Let w = width

l = 3w

l - w = 8

3w - w = 8

2w = 8

w = 4

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