Answer:
V/3k = t
Step-by-step explanation:
Isolate the variable (t)
V = 3k/t
We have to get rid of 3 and k to isolate t
Since 3 and k are part of a fraction we can multiply it by their reciprocal
V = 3k/t × 1/3k
What we do to one side, we must do to the other
V × 1/3k = 3k/t × 1/3k
The reciprocals equals 1
V × 1/3k = t × 1
Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)
V/3k = t
1.
What is the sum of the two solutions to the equation 3x2 - x = 4?
Answer:
The sum of the two solutions to the given equation is 1/3.
Step-by-step explanation:
Nature of Roots of a Second-Degree Equation
Given a quadratic equation:
[tex]ax^2 + bx + c = 0[/tex]
The roots of the equation are:
[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]
The sum of the roots is:
[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
We are given the equation:
[tex]3x^2 - x = 4[/tex]
Rearranging:
[tex]3x^2 - x - 4=0[/tex]
The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:
[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]
[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]
The sum of the two solutions to the given equation is 1/3.
Correct 25.0457 to 2 significant figure
9514 1404 393
Answer:
25.
Step-by-step explanation:
The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.
If point C is between points A and B, then AC+ blank = AB.
Answer:
AC+CB=AB
Step-by-step explanation:
Let's see.... If you are a visual learner this could help.
[tex]A----------C---------------B[/tex]
So you can see that C is right in between them so the distance between AC and the distance between CB would equal the whole line AB. So if you add AC and CB you would get AB.
what is the volume of a A prism with a base area of 34 m2 and a height of 6 m.
Answer:
34 * 6 = 204
Thank you and please rate me as brainliest as it will help me to level up
The chart shows number of minutes students spent studying for a test and their grade on the test. Draw a scatter plot of the data.
Which equation is closest to the line of best fit?
A) y=-1/3x-52
B) y= 1/3x + 52
C) y=-52x + 1/3
D) y=52x-1/3
Answer:
the answer is A). y=1/3×-52
The total U.S. apple production increased during the 1973-1988 period from 6.2 to 9.l billion pounds. To the nearest tenth of a percent, what was the percent of increase in apple production in the United States from 1973-1988? plzzzzz help
Subtract to find the difference in the amounts:
9.1 - 6.2 = 2.9
Divide the change by the starting amount:
2.9/6.2 = 0.46774
Multiply by 100 to get the percentage and round to the nearest tenth:
0.46774 x 100 = 46.8 %
Answer: 46.8%
Evaluate:
7 - 3 + 10
Answer:
14
Step-by-step explanation:
7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps
Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x + 3y= 29
ОА.
x = 8, y=4
B.
x = 6, y = 6
O C. x = 7, y= 5
OD
x = 9, y = 3
Answer:The answer is C
Step-by-step explanation:
When you plug it in 7*2 is 14+ 5*3 is 15 you add 14+15 you get 29 and then for the other equation you do 12-5 which gives you the x value of 7. Hope this helps.
what's the answer? 4/5×1/3?
Answer:
4/15
Step-by-step explanation:
what's the answer? 4/5×1/3?
Read the problem. Tamir baked cookies for his mother's birthday. He mixed the cookie batter, scooped it into mounds on a cookie sheet, and then put the cookie sheet in the oven. After 20 minutes in the oven, 15 of the 20 cookies were fully baked. Shade the grid to show the fraction of the cookies that were fully baked after 20 minutes in the oven. What percent of the cookies were fully baked? You can use your model to help.
Answer:
Percentage baked= 75%
Step-by-step explanation:
Giving the following information:
After 20 minutes in the oven, 15 of the 20 cookies were fully baked.
First, the fraction of cookies baked:
Fraction of cookies= 15/20= 3/4
Now, to calculate the percentage, we need to use the following formula:
Percentage baked= (15/20)*100
Percentage baked= 75%
Expand and simplify 3(2x + 1) +2(x + 4)
Answer:
8+11
Step-by-step explanation:
Answer:
3(2x + 1) +2(x + 4)
6x + 3 + 2x + 8
8x + 11
Step-by-step explanation:
AB = 3x + 5, AC = 9x - 13
Solve for x . I’ll give brainliest to the first person who answers:)
Answer:
x = 2
Step-by-step explanation:
I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.
pls help!! would be greatly appreciated<3
Answer:
x=7
Step-by-step explanation:
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Answer:
i thin it is 8960
Step-by-step explanation:
44800 divided by five = 8960
quick i need hellppppp!!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A school set a goal to collect at least $360 from a book sale. They have already collected $180. The school receives $3 for each book sold. Write an inequality to show the number of books the school needs to sell to meet their goal.
A math book comprises of two sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?
Answer:
Arithmetic content = 300 pages
Geometric content = 180 pages
Step-by-step explanation:
Arithmetic : Geometry = 5 : 3
Total pages of book = 480
How much of each type of content will be needed to make a book of 480 pages?
Total ratio = arithmetic + geometric
= 5 + 3
= 8
Arithmetic content = 5 / 8 × 480
= 0.625 × 480
= 300
Arithmetic content = 300 pages
Geometric content = 3 / 8 × 480
= 0.375 × 480
= 180
Geometric content = 180 pages
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)
Hello soldier!! The answer is D! Have a great day <3
Answer:
The answer is: D / 1/8(5)
Step-by-step explanation:
simplify (-sqrt of 125)^3
Answer:
5
Step-by-step explanation:
[tex]\sqrt[3]{125} =5*5*5=5[/tex]
The diagram shows a triangle.
3t
2t–50°
2t–50°
What is the value of t?
t =
3(x + 3) – 2 < 4 or 1 – x ≤ –1
Answer:
eu singer nuştiu
terog scuză
Substitute to solve
Brainliest for correct answer
Answer:
4x-1y=3xy
Step-by-step explanation:
because 3-2=1 and add the y on and the do 4x-1y and that will = 3xy
Answer:
x=4, y=6
Step-by-step explanation:
hope that helps :)
what is 2350 million in standard from
Answer:
2350000000
Step-by-step explanation:
How do you solve this problem (3x-2)^3
please help !!!!!!!!
Answer:
Maybe c
Step-by-step explanation:
In the diagram, ABC is a triangle in which AB = 4 cm, BC = 6 cm and angle ABC = 150°. The line CX is perpendicular to the line ABX.
(i) Find the exact length of BX and show that angle CAB = tan^-1 (3/4+3√3)
(ii)
Show that the exact length of AC is √52 + 24√3 cm.
Part (i)
Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,
(angleABC)+(angleCBX) = 180
angle CBX = 180-(angleABC)
angle CBX = 180-150
angle CBX = 30 degrees
Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.
The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.
In summary so far,
CX = 3
BX = 3*sqrt(3)
We have enough information to find the tangent of angle CAB, and then find the actual angle itself.
tan(angle CAB) = opposite/adjacent
tan(angle CAB) = (CX)/(AX)
tan(angle CAB) = 3/(4+3*sqrt(3))
angle CAB = arctan( 3/(4+3*sqrt(3)) )
I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.
========================================================
Part (ii)
Focus on triangle AXC. The legs we found were
AX = 4+3*sqrt(3)
CX = 3
Use the Pythagorean theorem to find the hypotenuse AC
a^2 + b^2 = c^2
(AX)^2 + (CX)^2 = (AC)^2
(AC)^2 = (AX)^2 + (CX)^2
(AC)^2 = (4+3*sqrt(3))^2 + (3)^2
(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9
(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9
(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9
(AC)^2 = 52+24*sqrt(3)
AC = sqrt( 52+24*sqrt(3) )
Note that AC is a length so AC is positive. We don't have to worry about the plus minus.
This is known as a nested radical since one square root is buried in another.
We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.
Using your calculator, you should find that,
[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
20
16
12
Cost (dollars)
8
4
0
4 8 12 16 20
Amount of Tea (ounces)
Which equation models this relationship?
Oy=
Oy = 40
#thisisacryforhelp!!!
Answer:
y=4x
Step-by-step explanation:
you just have to find the slope!
please help meeeeeeeeee
Answer:
37.3% is the take off
Step-by-step explanation:
so an easy route is to subtract the price after the reduction
89.99-56.49= 33.5 that is 37.3 percent
because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work