Answer:
3.6cm cubed
Step-by-step explanation:
First solve for both glasses' volumes.
Use l×w×h to plug in the numbers:
3.1×2×3=18.6
3.7×2×3=22.2
then subtract= 3.6
Answer:
3.6 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume for first container is 3.1 x 2 x 3 = 18.6
Volume for second container is 3.7 x 2 x 3 = 22.2
22.2 - 18.6 = 3.6
PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023
Solve the equation
Use the equation solver to find the value of x that
makes the mathematical statement true.
1. For parentheses:
Distribute
O 0.5
0Bx93 94-03-17
63x93 126-17
• 17x
17x
O 0.5
2 If necessary
Combine Terms
O 0.87
O 1.5
23 Bx9326
-93 -93
2388
- 119
• 238
• 238
2. Apply properties:
Add Subtract
Multiply
Divide
05
To start over
Reset
You have solved the equation
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Previous Activity
1 of 10
Answer:
See explanation
Step-by-step explanation:
The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.
A similar question that can be found online is:
[tex]8x - 8 = 4x + 12[/tex] --- to solve for x
First, collect all like terms
[tex]8x - 4x = 8 + 12[/tex]
Distribute the expression on the left-hand side
[tex]x(8 - 4) = 8 + 12[/tex]
[tex]x * 4 = 8 + 12[/tex]
Simplify like terms
[tex]x * 4 = 20[/tex]
Divide both sides by 4
[tex]x = 5[/tex]
If there were 36 candies and only 12 children, how many candies would each child get?
Answer:
3 each
Step-by-step explanation:
36 / 12 = 3
.................................................
A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?
Answer:
4
Step-by-step explanation:
Four people will play basketball, so 10 - 4 = 6.
Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.
The rest will play soccer, which is 4.
1.
Congruent
Not Congruent
Supplementary
2.
Adjacent
Corresponding
Vertical
Answer:
Congruent
Vertical
Step-by-step explanation:
E and G are vertical angles and vertical angles are equal
They are congruent because they are vertical
Oliver invested $970 in an account paying an interest rate of 7 1/2 % compounded continuously. Carson invested $970 in an account paying an interest rate of 7 3/8% compounded annually. To the nearest of a hundredth of a year, how much longer would it take for Carson's money to double than for Oliver's money to double?
Answer:
0.50 or about half a year longer.
Step-by-step explanation:
We can write an equation to model bot investments.
Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.
Recall that continuous compound is given by the equation:
[tex]A = Pe^{rt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.
Since the initial investment is $970 at a rate of 7.5%:
[tex]A = 970e^{0.075t}[/tex]
Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.
Recall that compound interest is given by the equation:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.
Since the initial investment is $970 at a rate of 7.375% compounded annually:
[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]
When Oliver's money doubles, he will have $1,940 afterwards. Hence:
[tex]1940= 970e^{0.075t}[/tex]
Solve for t:
[tex]\displaystyle 2 = e^{0.075t}[/tex]
Take the natural log of both sides:
[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]
Simplify:
[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]
When Carson's money doubles, he will have $1,940 afterwards. Hence:
[tex]\displaystyle 1940=970(1.07375)^t[/tex]
Solve for t:
[tex]2=(1.07375)^t[/tex]
Take the natural log of both sides:
[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]
Simplify:
[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]
Hence:
[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]
Then it will take Carson's money:
[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]
About 0.50 or half a year longer to double than Oliver's money.
If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
5
c
B
2
-6 -5 -4 -3 -2 -1 0
2
3
4
5
-1
-2
A
D
C' = ([?],[])
--3
i will make you brainliest pls help me
1) 8
2) 6(5x+2y) factor out greatest common factor
3) 10.8 just move over decimal two places to the left.
4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.
HURRY QUICKLY PLEASE William measures the length of three sides of a building. Place the lengths in order from greatest to least.
0.096 kilometers
2,100 cm
104 meters
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600
2100 cm
104m = 10400 cm
10400, 9600, 2100
104m, 0.096km, 2100cm
Answered by Gauthmath
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600cm
2100cm
104m = 10400cm
10400, 9600, 2100
104m, 0.096km, 2100cm
Write the expression as a complex number in standard form.
( 7 - 4i ) + ( 8 + 6i )
(Please don't spam anything for points, and could you leave an explanation as well? Thanks!)
Answer:
15+2i
Step-by-step explanation:
Hi there!
We are given the following expression:
(7-4i) + (8+6i)
And we want to write it as a complex number in standard form
Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.
We can open up the parentheses on the expression
7-4i+8+6i
Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)
15+2i
The complex number is now in standard form
Hope this helps!
Can someone help me with this math homework please!
1st one = Arithmetic (A)
2nd = neither
3rd = Geometric (G)
4th = A
5th = G
Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x
Step-by-step explanation:
None of the options are written as standard except option D.
Answer:
D. y = 6x
Step-by-step explanation:
Edge 2022
I need helppppp!!!!!!!!
Answer:
√124
Step-by-step explanation:
Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2
x^2 + (√101)^2 = 15^2
x^2 = 15^2 - (√101)^2
x^2 = 225 - 101
x^2 = 124
x = √124
The answer is √124
Identifying linear pairs and vertical angles
Answer:
a. <2 and <4
b. <5 and <8
c. <6 and <7
Step-by-step explanation:
a. Vertical angles are pairs of opposite angles formed by intersecting lines (they have congruent angles).
b. Linear pairs are the adjacent angles formed by the intersection of two lines. The sum of linear pairs is always 180 degrees.
c. A pair of angles whose sum is equal to 180 degrees.
hope it helps!
Answer:
a) <7 and <5
b) <2 and <3
c) <6 and <7
Step-by-step explanation:
a) Vertical angles that have the same point, and have the same angle degrees. Such as <7 and <5.
b) A Linear pair is two angles that add up to 180 and are next to each other. Such as <2 and <3.
c) Similar to linear pair, supplementary angles are two that add up to 180. Such as <6 and <7
Hope this helped.
Given: F(x) = 2x^2+ 1, G(x) = 2x - 1, H(x) = x
F-2) =
Answer:
Step-by-step explanation:
Divide
(16x^2 + 16x^3 –6x)➗(6x–2)
ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]
GOOD LUCK, I hope this helped!
Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
see graph (4,4)
to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)
do for both points , and draw al LINE between them...
repeat fore the second equation... the "solution" is where the two lines cross
Step-by-step explanation:
Does the table represent a function? Why or why not?
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
600 in.2
1,038 in.2
1,200 in.2
2,076 in.2
Answer:
B
Step-by-step explanation:
A=(3*sqrt(3)*a^2)/2
A=(3*sqrt(3)*400)/2=1038
Answer:
B. 1,038 in.2
Step-by-step explanation:
Rewrite the expression in the form y^n. y^5/4 / y^1/4
Answer:
y^{n+4}
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{y^n *y^{\frac{5}{4} } }{y^{\frac{1}{4} } } =y^n*y^{\frac{5}{4} } \times y^{-\frac{1}{4} } =y^{n+\frac{5}{4} -\frac{1}{4} } \\=y^{n+\frac{5-1}{4} } \\=y^{n+\frac{4}{4} } \\=y^{n+1}[/tex]
hello, help needed...again. 35 points !!! please show work for both. thank you:)) due today.
Answer:
16 direct
17 indirect
Step-by-step explanation:
16.
If it is a direct variation
y/x = constant
4/-2 -2
-8/4 = -2
-12/6 = -2
This is a direct variation
17.
y/x = -1/2 /-2 = 1/4
y/x = -1/-1 = 1
This is not a direct variation
If it is an indirect variation then
yx = constant
-1/2 * -2 = 1
-1*-1 =1
3 * 1/3 =1
This is an indirect variation
Solve the inequality 12(1/2 x - 1/3) > 8 - 2x
O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2
Answer:
[tex]D. \\x>\frac{3}{2}[/tex]
Step-by-step explanation:
12(1/2x - 1/3) > 8 - 2x
6x - 4 > 8 - 2x
6x + 2x - 4 > 8 - 2x + 2x
8x - 4 > 8
8x - 4 + 4 > 8 + 4
8x > 12
8x ÷ 8 > 12 ÷ 8
x > 1.5
Can someone help me with this math homework please!
Answer:
III (third) quadrant
Step-by-step explanation:
Answer: Choice B
Quadrant II, because the slope is positive and the y intercept is negative.
===============================================================
Explanation:
The y intercept is -6 which places the graph below the x axis when x = 0. The graph will go uphill as we move to the right (since the slope is positive), so we cut through quadrant 4 and move to quadrant 1 at some point. Going in reverse of this, we go through quadrant 3.
Only quadrant 2 is never passed through or touched at all.
------------
Here's another way to see why this is. Notice that x < 0 is the case for quadrant 2 since we're to the left of the vertical y axis. If x is negative, then so is (2/3)x. Recall that negative times positive = negative.
Adding on -6 to any negative value just gets us in even more negative territory. So ultimately, y is always negative when x < 0.
But if x < 0 leads to y < 0, then we're in Q3 and not Q2. In short, x < 0 will never get us to Q2 no matter what negative x value we pick.
The graph below hopefully visually summarizes and confirms what we discussed so far.
4x-2y=10
y=-2x-5
A.(-1,-3)
B.(-1,-6)
C.(3,1)
D.(-3,-1)
Answer:
D.-3,-1 for 4x-2y=10 y=2x-5
8 is added to the queintel of 36 divided by 4
Answer:
[tex](36 \div 4) + 8[/tex]
[tex]9 + 8[/tex]
[tex]17[/tex]
hope this will help youAnswer: 17
Step-by-step explanation:
36/4 = 9
9 + 8 = 17
Need help ASAp plz and thank you
Answer:
pls use calculater
Step-by-step explanation:
because i also dont know now what shall i do so its a good suggestion for you i hope
If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n
[tex]n = \frac{6}{m + 1} [/tex]
Hope it helps you...
The value of n is n= 6/( m+1).
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given:
mn - 3 = 3 - n
mn + n = 6
n(m+ 1) =6
n= 6/( m+1)
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Enter the equation of the line in slope-intercept form.
Slope is 4, and (1,3) is on the line.
The equation of the line is y =
Answer:
y = 4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in and solve for b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 =b
y = 4x-1
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b
y = 4x + b
3 = 4(1) + b
3 = 4 + b
b = -1
y = 4x - 1
Captain Liz is going to load her cruise ship with bags of sugar. She has room for 19 bags of sugar. She has allotted for 121 pounds of sugar on her ship. She can choose from 7-pound bags (the variable s) or 10-pound bags (the variable p). Which equations would be a constraint to Captain Liz maximizing her sugar load?
Correct answers with explanations will earn you brainliest :)
Answer:
[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]
Step-by-step explanation:
First we use constraints given by the problem to set up two equations:
We can only have a total of 19 bags, so:
[tex]19 = s + p[/tex]
Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:
[tex]121 = 7s + 10p[/tex]
Answer:
Step-by-step explanation:
Let the sugar from 7 pound bags be represented by = s
And let the sugar from 10 pound bags be represented by = p
As given, Captain Liz has room for 19 bags of sugar.
This becomes [tex]s+p=19[/tex] .......(1)
Also given is , she has room for 19 bags of sugar, so equation becomes:
[tex]7s+10p=121[/tex] ............(2)
Hence, these are the correct equations.
3) Differentiate with respect to x: a) (x²-3x+5)(2x-7)
Answer:
6x²-26x+31
Step-by-step explanation:
(x²-3x+5)(2x-7)
=2x³-7x²-6x²+21x+10x-35
=2x³-13x²+31x-35
Now to differentiate:
dx=6x²-26x+31
Three red balls, 5 green balls and a number of blue balls are put together in a sac. One ball is picked at random from the sac. If the probability of picking a red ball is 1|6, find the a) The number of blue balls in sac. B) the probability of picking a green ball.
Answer:
a) 10 blue balls, b) 5/18
Step-by-step explanation:
a)
R=3, G=5, B=x (unknown)
probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18
3+5 = 8 so B=18-8 -> B=10
b) total is 18 and G=5 so green probability = 5/18