Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]
Volume of given rectangular prism = [tex]12 in^3[/tex]
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]
[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
3 inches
Step-by-step explanation:
4. Given that a * b = ab- evaluate
(4marks)
(i) 4*8
(ii) 2* (4 * 8)
Answer:
(i) 4*8 = 32
(ii) 2* (4 * 8) = 64
Step-by-step explanation:
(i) 4*8
4 × 8 = 32
(ii) 2* (4 * 8)
2 × (4 × 8)
2 × (32)
2 × 32 = 64
-TheUnknownScientist
Answer:
(i) 4*8 = 32
(ii) 2(4*8) = 2*32 = 64
A college information pamphlet provides some statistics about the students and the professors to help high school seniors decide if they want to attend the college. The pamphlet lists the ratio of students to professors as 18 to 1. If there are 702 students at the college, how many professors are there?
Answer:
39
Step-by-step explanation:
Setting up your problem and solving:
In the question it says the ratio is students to professors right? So 18 to 1.
Write that down: Students to Professors is 18 to 1.
We know that there are 702 students in that college correct?
Write that down: 702 students in the college
We are trying to find how many professors there are so...let's do that.
Number 1:
Set your equation: have your fraction bar and equal sign like this: --- = ---
On the top, we have 1 so... 1/? = ?/?
On the other top we have the x...: 1/? = x/?
Why? Because we do not know the total of professors there are so that is X.
We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.
Number 2:
On the bottom, we will have 18...: 1/18 = x/?
On the other bottom we have 702...: 1/18 = x/702
Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.
Number 3.
Now you have your equation set up: 1/18 = x/702
The next step is yours: cross multiple, divide on the bottom or top or find the comparison.
I'm going to divide by the bottom okay? so.. 18/702
Set that up.
(702/18)
702/18 is 39!
SO in the end there is a total of 39 professors!
'x=39'
Hoped this helped! :)
I NEED HELP PLEASE I WILL MARK!!!!
Answer:
_3/4/_2/3 the first one i hope u will mark me brai list
Given x^2 -4x+4 is a factor of the polynomial 2x^4 - 11x^3 +68x-80, completely factor the polynomial using algebraic methods.
please tell me the answer
Answer:
It shifts leftI hope this helps you with your algebra
Uncle Silas weighs 204.6 pounds, and
Aunt Cora weighs 139.65 pounds. How
much more does Uncle Silas weigh than
Aunt Cora?
The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?
Answer:
D
Step-by-step explanation:
Edge 2021 ;))
what is the measure of <x
Answer:
x = 104°
Step-by-step explanation:
180-76=104
z = 104°
z and x are vertical from each other, therefore, z = x
77th term for -10,-8,-6
9514 1404 393
Answer:
142
Step-by-step explanation:
The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...
an = a1 +d(n -1)
an = -10 +2(n -1) = 2n -12
Then the 77th term is ...
a77 = 2(77) -12 = 154 -12
a77 = 142
The 77th term is 142.
100 writen as a perfect square
Answer:
10^2.
Step-by-step explanation:
100 is a perfect square of 10.
sqrt (100)
= 10.
Hope this helped!
Quadratic functions 2. Did I do it right
find f((1)/(3)) if f(n)=3n
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
What does a equal? (b = 3√2)
9514 1404 393
Answer:
a = √2
Step-by-step explanation:
Triangle EFG is an isosceles right triangle, so the ratios of side lengths are ...
1 : 1 : √2
That is, we have ...
3a/6 = 1/√2
Multiplying by 2 gives ...
a = 2/√2
a = √2
What are the x-intercepts of the polynomial function
g(x) = (2x-8)(x+1)(9 – 3x)2 ?
(Hint: There should be three of them!)
Answer:
The x intercepts are x = 4, x = -1, and x = 3.
Step-by-step explanation:
[tex]g(x)=(2x-8)(x+1)(9-3x)^{2}\\(2x-8)(x+1)(9-3x)^{2}=0\\2x-8-0\\2x=9\\x=4\\x+1=0\\x=-1\\9-3x=0\\3x=9\\x=3\\[/tex]
if a+b=34 then what is 4a-8ba+9a
Answer:
12x:12x=1:
1 TRUE
Step-by-step explanation:
tim bought 3 hat for 120/-. how much can he buy from 180/-
ASAP plz
Answer: 16
Step-by-step explanation:
Tim can buy 4 caps and will left with Rs.20 to spare
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here tim can buy 3 hats from Rs.120 thus each hat cost Rs.40
Thus price of 4 hats is Rs.160 and he will be left with Rs.20 to spare.
Hence, Tim can buy 4 caps and will left with Rs.20 to spare
Learn more about the unitary method here:
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Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT
Answer: See explanation
Step-by-step explanation:
At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:
= $96/12 = $8
At Canine Community Center, 25 lessons cost $125. The unit rate will be:
= $125/25 = $5
The better deal is at Canine Community as it's cheaper.
The unit rate for lessons at Sit and Stay School is $8 per lesson
The unit rate for lessons at Canine Community Center is $5 per lesson
The lower unit rate is $5 which is that of Canine Community.
The lessons at Canine Community are the better deal.
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
7 + 5x = 2x + 25
step by step pls:(
Answer:
x = 6
Step-by-step explanation:
7 + 5x = 2x + 25
first subtract 7 from both sides to isolate 5x on the left
5x = 2x + 18
then subtract 2x from both sides to isolate all of the x terms to one side
3x = 18
then divide 18 by 3 to solve for x
x = 6
hope this helped!! :)
Answer:
i got you, i wrote it out and all gimme brilliantness
Step-by-step explanation:
Find the value of f(-7).
Answer:
f(-7) = -4
Step-by-step explanation:
We want to find the value of the function when x = -7
The y value of the function when x= -7 is -4
f(-7) = -4
Answer:
f(-7)=-4
Step-by-step explanation:
If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.
What is the image of the point (7,-5) after a rotation of 270° counterclockwise
about the origin?
Answer:
(-5, -7)
Step-by-step explanation:
if you rotate the point by 270 degrees counterclockwise, you get (5,-7) and I'm guessing image is another way to say reflection so after it is reflected then the point would be (-5,-7)
Please help
f(x)=1 - 2x g(x)= -x0 h(x)= x + 1
) Find the value of
(i) gf2),
Answer(a)(i)
[2]
Answer:
we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1[/tex]
We need to find value of [tex]gf(2)[/tex]
[tex]gf(2)=g(f(2))[/tex]
First putting f(x) inside of g(x) and then putting x=2
[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]
Now putting x=2 to find [tex]gf(2)[/tex]
[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]
So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
Can some please help I’m stuck :(
Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
I . -10
Putting -10 in the inequality
[tex]-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36[/tex]
The inequality results in true after putting x=-10 so -10 is the solution of inequality.
II. 5
Putting 5 in the inequality
[tex]-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9[/tex]
The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
III. -1
Putting -1 in the equation
[tex]-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9[/tex]
Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
7+3²+(12-8)÷2x4
i really need help
Answer:
3/2 :D have a good day
Step-by-step explanation:
7+9+(-4)÷2(4)
=(7+9-4)/8
=3/2
2 x ² + 16x+63 2x² +19x+a
Answer:
\557
Step-by-step explanation:
Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6 What is the x-intercept of the graph of this function?
Answer:
-2.1
Step-by-step explanation:
The y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The linear function is:
f(x) = 6x + 12.6
To find the y-intercept plug x = 0
f(0) = 0 + 12.6
f(0) = 12.6
Thus, the y-intercept will be (0, 12.6) if Damien graphed the following linear function on an (x, y) coordinate plane f(x) = 6x + 12.6.
Learn more about the function here:
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If a television was 20% off and the amount of the discount was $200 what would the original price be?
Answer:
The original price of the television would be 1000$
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)
Answer:
Expressions C and D correctly determine the markup price.
Step-by-step explanation:
A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.
When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.
[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]
Therefore, with this new decimal, we can add 1 to it.
[tex]1 + 0.32=\small\boxed{1.32}[/tex]
Finally, we multiply this result by the original price.
[tex]1.32 \times 400=\small\boxed{528}[/tex]
Therefore, we can already confirm that Expression C is one way to find the markup price.
We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.Now, we can test the math for expressions D and E to see if either of these will equal $528.
Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.
[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]
Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.
[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]
Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.
The Lopez Family meets with a financial planner who advises them to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Lopez family save each month for future college expenses?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1281.00
Step-by-step explanation:
8540*15%=1281