Answer:
420 cm^3
Step-by-step explanation:
1. The volume of a rectangular prism is [tex]l * w * h[/tex], where l = length, w = width, and h = height.
2. (Solving)
[tex]6*7*10[/tex] [tex]42*10[/tex] [tex]420[/tex] 420 cm^3Therefore, the volume is 420 cm^3.
How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?
Answer:
BIN
TIC
SIT
BIT
MOB
ROT
SIR
BAN
BAM
TAN
RAT
ROB
theres tons of words you can make, just take a few seconds and find as many as you can
Answer:
720
Step-by-step explanation:
the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:
COMBINATRS
10 unique letters
10! / (10-3)!
10! / 7!
720
A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.
Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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simplify this please
Answer:
0? I tried solving it myself then I put it into my calculator and both times I got 0
Given the relation shown in the table below :
Answer:
domain: -7, -1, 0, 1
Range: -1, 0, 1, 2, 7
Step-by-step explanation:
I don't know the drop-down menu choices so I can't answer that one for you sorry :(
But I hope this helps :)
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
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Helpp i have 12 minutes
Answer:
the answer is 924.8 round it up and you get 925
Step-by-step explanation:
Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth
Answer:
50.4
Step-by-step explanation:
38.12 + 12.24 = 50.36
6 is near 10
50.36 = 50.4
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?
Adult: Child:
Answer:
adult=10
Child=7
One adult and one child=10+7=17
Step-by-step explanation:
Let a be the price of an adult ticket
c = price of the child ticket
2a+4c = 48
5a+2c = 64
Multiply the second equation by -2 and add to the first equation
2a+4c = 48
-10a-4c = -128
---------------------
-8a +0c = -80
Divide by -8
-8a/-8 = -80/-8
a = 10
Now find c
2a+4c=48
2(10)+4c=48
20+4c=48
4c=48-20
4c=28
4c/4=28/4
c=7
Answer:
look at the photo..........
Convert the equation − x − 2 y = 8 from standard to slope-intercept form
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
Use the graph below to find the indicated expression: f(3)-f(-3)
Answer:
f×3-f×(-3)
3f+3f
solution:
6f
Step-by-step explanation:
hope it's can help
The sum of two numbers is −12.6 , identify two negative addends that make the statement true.
Answer:
–7.4 and –5.2
Solution:
–7.4 + –5.2 = –12.6
Message:
I hope this helps
Customer account “numbers” for a certain company consists of 2 letters followed by 2 single-digit numbers. How many different account numbers are possible if repetition of letters and digits are allowed?
Answer:
67600Step-by-step explanation:
Let the format be:
LLDD- where L stands for letter and D- digitFor each L we have 26 (English alphabet) and for each D we have 10 options.
Number of possible accounts:
26*26*10*10 = 67600Select the shapes that are similar to shape A
Answer:
Orange and pink, I'm not too sure
Answer:
Orange and pink.
Step-by-step explanation:
Because there shapes are same.
Six more than a number is 17
The unknown number given from the expression Six more than a number is 17 is 11
How to solve linear equation?let
The unknown number = x
x + 6 = 17
subtract 6 from both sidesx = 17 - 6
x = 11
check:
x + 6 = 17
11 + 6 = 17
Learn more about equation:
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• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m
Answer:
13.66m
Step-by-step explanation:
Help me please help me help please
Answer:
4
Step-by-step explanation:
-4/-1 = 4
HELPPP!!! WILL MARK BRAINLIEST!!! 10 PTS
Find an equation for the graph sketched below:
Answer:
Plot the coordinate points and connect them with a smooth curve.
Hope This Help you po..
pa brainlest?
The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
What are Exponential Equations?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
where a is the initial value
b represents the base of the exponential function
x will represent the input of the function
y = k is the single horizontal asymptote
k is constant
According to the question
The figure in the graph is an exponential graph .
To derive the equation
we will use Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
Now,
There are two points in graph
(0.-3) and (1,1)
k = - 5 ( distance from 0)
now ,
Substituting the values
y = [tex]a(b)^{x} + k[/tex]
y = [tex]a(b)^{x} -5[/tex]
for point (0.-3)
-3 = [tex]a(b)^{0} -5[/tex]
-3 = [tex]a -5[/tex]
a = 2
for point (1,1)
1 = [tex]2(b)^{1} -5[/tex]
1 = 2b - 5
b = 3
Therefore , equation of exponential graph is
y = [tex]2(3)^{x} -5[/tex]
Hence ,The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
To know more about Exponential Equations here:
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Guided Practice
Find the slope of a line parallel to y=1/2x+2.3.
A.
1/2
B.
−1/2
C.
2
Answer:
A. 1/2
Step-by-step explanation:
GradPoint answer
I got it correct on the lesson.
I don’t know how to do this promise or start it
Answer:
Where is the question ?
Step-by-step explanation:
−4 1/3 ÷ (2 3/5)
For brainliest :3
Answer:
lskzjkkzjzbzniziakanzjs
Answer:
-5/3
Step-by-step explanation:
change numbers into fractions
KCF(keep change flip)
simplify
rick haskins is payed $18 an hour as a pastry chef for a regular 35-hour week his over time rate is 1.5 times his regular hourly rate this week he worked his regular 35 hours plus 8 hours of overtime what is ricks total pay
Type the missing number in this sequence:
16, 7, __, -11, -20
-2
The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9
therefore 7-9 is -2
Hope this helped you- have a good day bro cya)
solve pls brainliest
Step-by-step explanation:
a))) -31-71=-102
b)-9+14=+5
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. - 31 - 71 = - 102
B. - 9 + 14 = 5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.
B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Simplify by using the product, quotient, and power rules
Answer:
3y^5
Step-by-step explanation:
1.
D x y
a dxdy
2
S D r 4 .
Answer:
ok
Step-by-step explanation:
ok fjFjxggkgclclcchlclcullcucuclcvuullulj
help me please!!!!!!!!!!!!!!
Answer:
7√ 121
Step-by-step explanation:
Needs to show work.
1. Refer to the equation 2x − 6y = 12.
(a) Write the equation in Slope Intercept Form.
Answer:
y = 1/3x - 2
Step-by-step explanation:
2x − 6y = 12
-6y = -2x + 12
y = 1/3x - 2
what is the first digit in the quotient of 1,898 divided by 9
9514 1404 393
Answer:
0
Step-by-step explanation:
The first digit of the quotient is 0. This is because the first digit of the dividend (1) is less than the divisor (9).
See the attached image for the complete long division.
__
The first non-zero quotient digit is 2 = 18/9.
3 (1 2t) = 3t + 5 !!
Answer:
2/3
Step-by-step explanation:
3+6t=3t+5
like terms together
6t-3t=5-3
3t=2
t=2/3
100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 3(1.09)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Answer:
I hope this helped. Look throught the pictures
Step-by-step explanation:
Answer:
Part A: 0<x<9
Part B: The y-intercept 3 represents how big the fish was when she first started her study.
Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.
I don't know about Part C, but I hope this helps!