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
Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6
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.
Someone Help Me Please. ?
Answer:
I’m guessing number 3
Step-by-step explanation:
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.
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
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.
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).
Is the answer x=6????
Answer:
x=12
Step-by-step explanation:
5x-2 = 58
5x = 60
x = 12
Which of the following cities does NOT rely on lumber for its economy?
Are these questions different at all? And if so whats the answer to them?
Answer:
i think u got it
Step-by-step explanation:
A sphere has a radius of 6 centimeters.
Find the surface area of the sphere.
PLS HELP I'LL GIVE A LOT OF POINTS
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.
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
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 equationThe 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
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help me please i’ll do anything
Answer:
in the first one, she makes $7.50 per box
Step-by-step explanation:
looking at the graph
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?
DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!
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.
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.
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.
pls help meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
kya pls help meeeeeeeeeeeeeeee.
please thanks and follow me.
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?
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
Help APSP!!!!!!!!!!!!!
Answer:
d
Step-by-step explanation:
Answer
its d
Step-by-step explanation:
Subtract the equation
-7 - 12 =
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
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.
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:
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?
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
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
In the diagram, bisects ABC. Find mABD and mDBC
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
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?
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?
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:
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?
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.
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Determine the intercepts of the graph below please help be sure of your answer
Answer:
y= 0, .4
x= .3, 0
Step-by-step explanation:
and thats the way the cookie crumbles.
What is the interquartile range of the following data set?3,8,14,19,22,29,33,37,43,49
18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.
Answer:
$1.44
Step-by-step explanation:
Answer:
$1.44
Step-by-step explanation:
You divide $25.99 by 18 to get $1.44
10/3 = x/ (-5/2) what does x equal
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]
Plz help help me it’s so hard
Answer:
It's the second answer choice
Step-by-step explanation:
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
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.
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