Answer:
[tex]23 L= 23 000ml\\750ml\\50L = 50 000ml\\\\50000=x+23000+750\\x=50000-23000-750\\x=26250ml\\x=26.250L[/tex]
Step-by-step explanation:
Change all the values given to one unit. (Litres to millilitres to avoid working with decimals)
Let x represent the amount of water left to be poured.
Since all will be equal to the volume of the tank, equate all values to the total capacity of the tank.
Change the subject and solve.
Hope you understood.
Have a nice day. :)
3-2(x-4) simplify the expression
Answer:
The answer should be 11-2x because you cannot break this down any further. And since we are not solving for x, we don't do division. Even if so, it would turn out to be a decimal.
What is the general form of the equation of a circle with center at (a, b) and radius of length m? A. X2 y2 − 2ax − 2by (a2 b2 − m2) = 0 B. X2 y2 2ax 2by (a2 b2 − m2) = 0 C. X2 y2 − 2ax − 2by (a b − m2) = 0 D. X2 y2 2ax 2by a2 b2 = -m2.
The general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].
What is the general form of the equation of a circle?The general form of the equation of a circle is written as,
[tex](x-h)^2+(y-k)^2 = R^2[/tex]
where (h, k) is the coordinates of the center of the circle, while R is the radius of the circle.
Equation of circle with center at (a, b) and radius of length mWe have already discussed the general form of the equation of a circle, substituting the values into it,
[tex](x-h)^2+(y-k)^2 = R^2\\\\(x-a)^2+(y-b)^2 = m^2[/tex]
Hence, the general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].
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The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0. 891 is calculated. What would this imply about the football team winning at home? The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined. The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning. The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning. There is no causation and almost no correlation between the football team playing at home and winning.
Skylar is going to invest $69,000 and leave it in an account for 6 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Skylar to end up with $105,000?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$105000\\ P=\textit{original amount deposited}\dotfill & \$69000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases}[/tex]
[tex]105000=69000e^{\frac{r}{100}\cdot 6}\implies \cfrac{105000}{69000}=e^{\frac{3r}{50}}\implies \cfrac{7}{46}=e^{\frac{3r}{50}} \\\\\\ \log_e\left( \cfrac{35}{23} \right)=\log_e\left( e^{\frac{3r}{50}} \right)\implies \ln\left( \cfrac{35}{23} \right)=\cfrac{3r}{50}\implies 50\cdot \ln\left( \cfrac{35}{23} \right)=3r \\\\\\ \cfrac{50\cdot \ln\left( \frac{35}{23} \right)}{3}=r\implies 6.9976\approx r\implies \stackrel{\%}{7.00}\approx r[/tex]
A juice box is four
inches tall, two inches
wide, and one inch
deep. What is the
volume of the juice
box?
4in
Zin
lin
side*otherside*height
4*2*1=
8 inches^3
Please help giving Brainiest!!
Answer:8 shaded in size 1/4 the area 1/2
Step-by-step explanation:if wrong sorry.
the screenshot is below for the question
Simplify.
4+37x−2−27x
6+57x
2+17x
6−17x
2−57x
Answer:
2+1/7x
Step-by-step explanation:
I didn't realize there were fractions in the numbers
The simplification of the expression 4 + 3x/7 -2 - 2x/7 is 2 + x/7.
The correct answer is B.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
We have the expression,
4 + 3x/7 -2 - 2x/7
Simplifying,
4 + 3x/7 -2 - 2x/7
= 3x/7 - 2x/7 + 4 -2
= (3x-2x)/7 + 2
= x/7 + 2
Therefore, 2 + x/7 is the value of the expression.
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The square of a number is added to 6
Find the ratio of 3 km to 3000 m
Answer:
1 : 1
Step-by-step explanation:
Step 1) Convert kilometers to meters.
1 kilometers = 1,000 meters
3 kilometers = 3,000 meters
Step 2) Create the ratio.
The ratio is now 3,000 meters to 3,000 meters, which can be written as 3,000 m : 3,000 m.
Step 3) Simplify the ratio.
By dividing by 3,000 on both sides, 3,000 m : 3,000 m simplifies to 1 meter : 1 meter.
Order the steps to solve the equation log3(x 2) = log3(2x2 − 1) from 1 to 6. 0 = (2x − 3)(x 1) 0 = 2x2 − x −3 Potential solutions are −1 and 3 2. 2x − 3 = 0 or x 1 = 0 x 2 = 2x2 − 1 3log3(x 2) = 3log3(2x2 − 1).
The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
Ordered steps to solve the equation are,
1) [tex]3^{\log_3(x^2) }=3^{\log_3(2x^2 - 1)}[/tex]2) [tex]0=2x^2-x-3[/tex]3) [tex]0=2x^2-x-3[/tex]4) [tex](2x-3)(x+1)=0[/tex]5) [tex]2x-3=0,\;\;\;\;x+1=0[/tex]6) The potential solution are -1 and 3/2.What is exponent of log rule?The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
For example,
Let k is the number and a is the base thus,
[tex]a^{log_a(k)}=k[/tex]
Given information-
The equation given in the problem is,
[tex]\log_3(x^2) =\log_3(2x^2 - 1)[/tex]
Order of steps to solve the equation are-
1) Take the base 3 both the sides as,[tex]3^{\log_3(x^2) }=3^{\log_3(2x^2 - 1)}[/tex]
2)The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number. Thus,[tex]x^2+2=2x^2-1\\[/tex]
3) Take the variable with same power one side and solve them by equating to zero, we get,[tex]0=2x^2-x-3[/tex]
4)Use the split the middle term method to make the group as,[tex](2x-3)(x+1)=0[/tex]
5) Equate the factors to the zero as,[tex]2x-3=0\\x+1=0[/tex]
6) Solve the above factors as, we get the potential solution are -1 and 3/2.Hence, ordered steps to solve the equation are,
1) [tex]3^{\log_3(x^2) }=3^{\log_3(2x^2 - 1)}[/tex]2) [tex]0=2x^2-x-3[/tex]3) [tex]0=2x^2-x-3[/tex]4) [tex](2x-3)(x+1)=0[/tex]5) [tex]2x-3=0,\;\;\;\;x+1=0[/tex]6) The potential solution are -1 and 3/2.Learn more about the rules of logarithmic function here;
https://brainly.com/question/13473114
Answer:
4
3
6
5
2
1
Step-by-step explanation:
Dont know how to do this topic
What is the value of the expression shown? 4(-2) + (-10) + 3(-8)
Answer:
-42
Step-by-step explanation:
1. 4(-2)
2. 3(-8)
3. -8 + -10 + -24
4. cobine like terms
5. -42
The value of the expression shown will be -42.
What is a mathematical expression?A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator
It is given that the expression is, 4(-2) + (-10) + 3(-8)
We have to apply the arithmetic operation, The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics.
=4(-2) + (-10) + 3(-8)
= -5 +-10 +(-240
= -42
Thus, the obtained value of the expression will be -42.
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help help help help plssssss
Answer:
[tex]{ \tt{x + (x + 6) + 114 = 360}} \\ { \tt{ \blue{sum \: of \: exterior \: angles \: is \: 360 \degree}}} \\ { \tt{2x + 120 = 360}} \\ { \tt{2x = 240}} \\ { \tt{x = 120}}[/tex]
Angles are 120°, 126°, and 114°
Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this
data, how many of the first 68 vehicles rented today should you expect to be convertibles?
convertibles
Help it’s for ixl
Answer:
8 convertibles
Step-by-step explanation:
Well, first we are going to assume the ratio for the convertibles and non-convertibles are the same.
So the company rented 4 convertibles and 30 others.
This makes the ratio 4:30
30+4=34 68 is double of 34 so it is logical to double the ratio to get 8:60. So that means there should be 8 convertibles.
I hoped this helped.
8 convertibles are expected in many of the first 68 vehicles rented today should you expect to be convertibles.
What is multiplying?When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.
There is a total number of vehicles is as:
30 other vehicles + 4 convertibles = 34 cars
To find 68 vehicles
34 * 2 = 68
Therefore this implies :
30 * 2 other vehicles + 4 * 2 convertibles
= 68 cars
60 other vehicles and 8 convertibles
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A triangle has sides with lengths of 5 meters, 12 meters, and 13 meters. Is it a right triangle?
Answer:
yes :
use the following formula :
a^2 +b^2 = c^2
now apply it to the problem :
5^2+12^2=13^2
do the exponent :
25 + 144 =169
now add
169 =169
if they are equal , then it is a right triangle .
i need help with this plsssssssssssss i will give brainliest wtv
Answer:
I got 110
Step-by-step explanation:
- 135+19=154
- Turn the percentage 140% into 1.4
- 154 = 1.4x
- Divide both sides by 1.4
- x = 110.
The original price was $110.
For the polynomial 6xy2−5x2y?+9x2 to be a trinomial with a degree of 3 after it has been fully simplified, what is the missing exponent of the y in the second term?
0
1
2
3
Polynomials are expressions that uses variables and numbers to represent its terms
The missing exponent of the y in the second term is 3
How to determine the missing exponentThe polynomial is given as:
[tex]6xy^2-5x^2y^?+9x^2[/tex]
From the question, we understand that the degree of the polynomial is 3
In the equation, the highest exponent of x or y is 2.
This means that, the missing exponent has to be 3.
So, the polynomial becomes
[tex]6xy^2-5x^2y^3+9x^2[/tex]
Hence, the missing exponent of the y in the second term is 3
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Answer:
b
Step-by-step explanation:
in one year the student enrollment increased from 560 to 588 this was an increase of what percent
Answer: 5%
Step-by-step explanation:
so you have to first subtract the numbers 588-560=28
[tex]\frac{28}{560}[/tex] so 28 divided by the old number would be 0.05 and you convert it into a percent so your answer world be 5%Aaaaaaaaaaa hurry please I need help
Solve the following inequality and match the graph.
Answer:
x<4, not sure which graph it is tho, I can't see it clearly
Step-by-step explanation:
-4(-2x+8)-2x<-8
8x-32-2x<-8
8x-2x<-8+32
6x<24
x<4
For the function f(x)=(x+6)^3 find f^-1(x)
PLEASE HELP THANK YOU!
======================================================
Explanation:
Replace f(x) with y.
Swap x and y, then solve for y to get the inverse.
[tex]f(x) = (x+6)^3\\\\y = (x+6)^3\\\\x = (y+6)^3\\\\\sqrt[3]{x} = y+6\\\\y = -6+\sqrt[3]{x}\\\\f^{-1}(x) = -6+\sqrt[3]{x}\\\\[/tex]
To solve for y, I first applied the cube root to both sides. Then I subtracted 6 from both sides.
if a car travels 374 meters in 17 seconds. A bus travels 414 meters in 23 seconds which vehicle is faster how much faster
Answer: Distance traveled by bus in one second=414.23=18 meters. Car travels faster.It travels 4 meter more in one second than bus
Answer:
Step-by-step explanation:
2 + 2 = 5
your friend says the solutions to the unequal 9x -11x > 6 are x> 3
Answer:
x < - 3
Step-by-step explanation:
9x - 11x > 6 , that is
- 2x > 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x < - 3
Find I need answers for 2 questions
Answer:
12.8Step-by-step explanation:
A^2+B^2=C^2
A= x2-x1
B=y2-y1
(3,4) and (6,3)
6-3= 3
3-4=-1
3^2=9
-1^2=1
9+1=10
9+1=C^2
10=C^2
[tex]\sqrt{10}[/tex]=3.16227766
Round up= 3.2
We can tell that this image is, a square, so 3.2*4 sides to get 12.8.
12.8 is the length of all of the sides combined.
how do i find the answer to this expression? x ²+16x-32=-7
Answer:
I dunno
Step-by-step explanation:
maybe it is Solve the equation for xx by finding aa, bb, and cc of the quadratic then applying the quadratic formula.
Spanish class has a total of 30 students. The number of males is 12 more than the number of females. How many males and how many females are in the
class?
Number of males:
Number of females:
Answer:
21, 9
Step-by-step explanation:
If girls are x, then boys are x + 12
x + x + 12 = 30
2x + 12 = 30
2x = 18
x = 9
There are 9 girls and 21 boys
Brainliest and high points, pls help
Answer: x < - 13/4
Step-by-step explanation:
Subtract 1 from both sides then divide both sides by -4, but flip the sing because it’s dividing by a negative.
Answer:
x<-3.25
Step-by-step explanation:
-4x-1>12 1. add 1 on both sides
-4x>13 2. divide -4 on both sides
x<-3.25
What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
a = 2, b = 4, c = 3
a = 2, b = 4, c = –3
a = –2, b = 4, c = 3
a = –2, b = 4, c = – 3
By definition, the correct answer is the last option: a = –2, b = 4, c = – 3
Definition of cuadratic functionA quadratic function is a polynomial function with one or more variables in which the highest degree term is of the second degree.
That is, a quadratic function is a type of function that is characterized by being a second degree polynomial, that is, it has a maximum degree of two, which is why it is also called a second degree function.
The general form of a quadratic function is:
f(x)= ax² +bx +c
where a, b, and c are real numbers and a is nonzero.
The graph of a quadratic function is a curve called a parabola. Parabolas open up or down.
Quadratic equation –2x² + 4x – 3 = 0Comparing with the general form of a quadratic function, you can observe that:
a=-2b=4c=-3Finally, the correct answer is the last option: a = –2, b = 4, c = – 3
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Answer:
D or a= -2, b=4, c = -3
Step-by-step explanation:
i took the test
0.25 divided [tex]\frac{1}{4}[/tex]
Answer:
it equals to 1 ive taken the test multiple times!!!
Find the percent change from the first value to the second.
36; 45
simplify 4(u+5)-2u without any parentheses if you can, please.
Hey there!
4(u + 5) - 2u
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(u) + 4(5) - 2u
= 4u + 20 - 2u
COMBINE the LIKE TERMS
= (4u - 2u) + (20)
= 4u - 2u + 20
= 2u + 20
Therefore, your answer is: 2u + 20
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
