Answer:
2,000,000 or 2x10^6
Step-by-step explanation: Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
Need help ASAP please give answer in cm squared
Answer:
17×15=255
Step-by-step explanation:
you do base times height
ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)
Answer:
(-3,1)
Step-by-step explanation:
(x,y)---->(x,-y)
(-3,-1)--->(-3,1)
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
So, total number of questions is 40.
One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are
Answer:
1/2, 1/4
Step-by-step explanation:
Let the numbers be x and y.
Given, x=2y
1/x + 1/y = 6
plug in x=2y ,
1/2y+1/y = 6
Taking common denominator ,
(1+2)/2y = 6
2y = 3/6 = 1/2 => y=1/4
x = 2y = 2* 1/4 = 1/2
So, the numbers are 1/2 and 1/4
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation:
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
Which equation is represented by the graph below?
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction
10t-19=7t-14
what does t=
Answer:
t = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
10t - 19 = 7t - 14
Subtract 7t from both sides;
3t - 19 = -14
Add 19 to both sides;
3t = 5
Divide both sides by 3;
t = [tex]\frac{5}{3}[/tex]
SOMEONE PLEASE HELP DUE IN 3 MINS
is this right?
Answer:
YES you are right
Step-by-step explanation:11 squared equals 121
How can we get Equation B from Equation A?
3(x+2)=18
x+2=18
i need them solved aswell
Answer:
x = 4
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
(not my answer)
A number t increased by seventy
Answer: t + 70
Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.
7th grade math help me plzzzzz
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
PLEASE ANSWER AS SOON AS POSSIBLE!
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
geometry unit 3 look at the picture for the question
Answer:
C= 66°
B= 74°
A= 35°
Step-by-step explanation:
sorry I don't have much time to explain- but I hope this answer helps
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please
Answer:
154
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
(9,-8) and (9,6) and determine the equation of the line.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
What is the nth term rule of the linear sequence
6,13,20,27,34?
Answer:
62
Step-by-step explanation:
5 (5) - -2 =
( worth 10 points)
Answer:
I think 27 is the answer
A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?
Answer:
450 Km
Step-by-step explanation:
90 Km/hr x 5 hr = 450 Km
I hope this helped and good luck!
Answer: Distance= 450km
Step-by-step explanation:
90 times 5= 450
give an example of a rational number
Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.
Answer:
Plot it at (4,-0.5)
Step-by-step explanation:
Answer:
-4, -0.5
Step-by-step explanation:
Identify the property on this equation 5(a + 3b) = 5a + 15b
Answer:
??????????????????????
Step-by-step explanation:
Answer: Distributive Property
The term "distribution" is also used in place of "distributive"
This property says
x*(y+z) = x*y + x*z
We multiply the outer term x with each inner term (y and z). Then we add the results.
In this case,
x = 5
y = a
z = 3b
So,
5(a+3b) = 5*a + 5*3b = 5a+15b
Help me if you can please
Answer:
the missing angle is 45
180-135=45