Please help is for now :(
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
143
314
14 ⋅ 3
14 ⋅ 14 ⋅ 14
PLEASE ANWSER !!!!!
(100 points given)
Answer: Choice A) [tex]14^3[/tex]
This is the same as writing 14^3
===================================================
Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
length = 14width = 14height = 14The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
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The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.
Answer:A is the answer
Step-by-step explanation:
-3(7+2) Distributive Property
Can someone help me with this please!
Answer:
Maybe 24 ft.......................????
Answer:
24 feet.
Step-by-step explanation:
We can solve this with a proportion.
[tex]\frac{Height}{Shadow}=\frac{Height}{Shadow}\\\frac{Height}{12}=\frac{2}{1}\\Height=\frac{2}{1}(12)\\Height = 24[/tex]
Therefore, the height of the sailboat is 24 feet.
Can someone help me please
Answer: A
Step-by-step explanation:
Please show work thank you
Answer: 70 mph
Step-by-step explanation:
11. Two of every 7 birds landing on
Mischa's feeder are sparrows. Today,
42 birds landed on her feeder. How
many of the birds would you expect to
be sparrows?
A 6
B 12
C 21
D 35
Answer:
B) 12
Step-by-step explanation:
2/7 is the original ratio
7 × 6 = 42
2 × 6 = 12
Given the vector u with magnitude 8 and direction 150° and the vector v with magnitude 3 and direction 115º, find the components of the vector u + v. Round to
four decimal places
======================================================
Explanation:
Vector u has magnitude 8 and direction 150 degrees.
So r = 8 and theta = 150
The polar form
r*(cos(theta)+i*sin(theta))
updates to
8*(cos(150)+i*sin(150))
---------------------
Use your calculator to evaluate that last expression to get it into a+bi form
8*(cos(150)+i*sin(150))
8*(-0.866025 + i*0.5)
-6.9282 + 4i
So this is the a+bi form of vector u. It's a rough approximation of it.
-----------------------
Repeat those steps for vector v
v = r*(cos(theta)+i*sin(theta))
v = 3*(cos(115)+i*sin(115))
v = 3*(-0.422618 + i*0.906308)
v = -1.267854 + 2.718924i
----------------------
We're converting each vector to a+bi form so that we can add the vectors.
The general idea is that if you want to add v = a+bi and w = c+di, then
v+w = (a+c)+(b+d)i
we simply add the corresponding real components together, and the imaginary components are added together as well.
-----------------------
Add up u and v
u+v = (-6.9282 + 4i) + (-1.267854 + 2.718924i)
u+v = (-6.9282 + -1.267854) + (4i + 2.718924i)
u+v = -8.196054 + 6.718924i
When rounding to four decimal places, the real and imaginary components are -8.1961 and 6.7189 respectively. These represent the x and y components of the vector.
So we can say vector u+v is approximately < -8.1961, 6.7189 >
kaylee needs to order some new supplies for the restaurant where she works. The restaurant needs at least 398 spoons. There are currently 263 spoons. If each set on sale contains 10 spoons, write an inequality which can be used to determine x, the number of sets of spoons Kaylee could buy for the restaurant to have enough spoons
Answer:
39.8
Step-by-step explanation:
she has 263 spoons already and needs 398 so if 1 set contains 10 spoons there will be 39.8 sets for 398 spoons
Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. Are you choosing the nine athletes with or without replacement?
Answer:
a) Random Variable - The value of this variable occur according to the frequency distribution
b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots
c) Distribution 1 to 13
d) Without replacement
Step-by-step explanation:
a) Random Variable - The value of this variable occur according to the frequency distribution
b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots
c) Distribution 1 to 13
d) Without replacement
What is the value of the unknown angle (2x)
Answer:
2x = 44
Step-by-step explanation:
115+94+107+2x = 360
2x = 360 -316 = 44
x = 22
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)
2x+316=360
2x=360-316
x=44/2
x=22
substitute the value of x in 2x
=2x
=2*22
=44
The closure property of subtraction of two numbers a and b is possible only if
Answer:
a, b and a - b all come from the same set
Step-by-step explanation:
"Closure" for an operation means that the two numbers and the answer after the operation is done all come from the same set of numbers.
Example: The set of positive integers (counting numbers) is closed under addition -- (positive integer) + (positive integer) = (positive integer)
But the set of positive integers is not closed under subtraction -- 8 - 10 = (not a positive integer)
Evaluate g(n- 7) if g(x) = x^2-6/7x
Step-by-step explanation:
g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55
Answer: A.
The correct answer is actually A.
Step-by-step explanation:
n ^2 - 14n + 43 / 7n - 49
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST
Answer:
The answer is A, the CPI is 25.50, and the rate of inflation is 2%.
Step-by-step explanation:
I took the test and I know the correct answer. :)
Answer:
E) 102 and 2%
Step-by-step explanation:
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
If x = 3, what is the value of x(14 - x)?
Answer:
33
Step-by-step explanation:
x(14 - x)
Step One: Substitute
3(14 - 3)
Step Two: Brackets/Parenthesis
3(11)
Step Three: Multiply
33
Answer:
33
Step-by-step explanation:
1. Subtract the numbers
(14-3)
2. Multiply the numbers
3*11= 33
Find the missing terms of the arithmetic sequence below.
..., 36, , ,21, ...
Answer:
Rule:-15
Step-by-step explanation:
36,21,6,-9,-24,-39,-54,-69...
help jehejeieoeieoeoe
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-6 + k}[/tex]
[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]
[tex]\large\textsf{-6 + 18}[/tex]
[tex]= \boxed{\large\textsf{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Guide}\downarrow[/tex]
[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{SOME values results in the bigger number}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Step-by-step explanation:
Edge 2021
Answer: g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
f(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)
usa pothomath (no me acuerdo como se escribe)
5. If x = 2 + y and x + y = 10, what are the values of x and y?
Answer: x=6 and y=4
Step-by-step explanation:
4 plus 2 equals 6, which is the value of x. 6 plus 4(value of y) is 10.
Find the product of (x − 7)2
Answer:
the answer is 2x-14.
Step-by-step explanation:
because 2 multiply both the number 2 and x
Pllssss helllppppp award 20 points
Answer:11
Step-by-step explanation:
I’ll give brainliest if you answer this correctly
Answer:
B y = (-7/4)x - 7
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope and b is the y-intercept
m = rise/run
m = ∆y/∆x
m = (y₂ - y₁) / (x₂ - x₁)
m = (-7 - 0) / (0 - -4)
m = -7/4
From the graph the y-intercept
b = -7
-------------------------
y = (-7/4)x - 7
78, 68, 75, 65, find the next term
Answer:
73,63
Step-by-step explanation:
it just goes down by 2 everytime
Find f(-2) for f(x) = 5.34.
Answer:
5.34
Step-by-step explanation:
f(-2) requires that we change x with -2 in the f(x) equation, yet the f(x) =5.34 so it has no x, therefore f(-2) =5.34
Peter won £75 as a prize.He gave 4/5 of the prize money as a present to Roger and Bethan.Roger and Bethan shared the present in the ratio 2:3 .work out how much they each got
I need help on this practice question
Answer:
6ft
Step-by-step explanation:
first you need to properly provide your work
Branly and 100 points
f (x) =x² - 3x - f
find the value of f(1) and f-(2)
f (1) = ______
and f (-2) = _____
Answer:
for every x in the domain of f, f -1[f(x)] = x, and
for every x in the domain of f -1, f[f -1(x)] = x
Step-by-step explanation:
f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.
f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f
f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f
A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
1/3
Step-by-step explanation:
Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.
Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.
