Answer:
11
Step-by-step explanation:
Match each poly nominal on the left to its description on the right
Answer:
Fill in the blanks to declare sum equal to a + b (int _ = a __b)An integer data type can hold decimal values.
Answer:
See below
Step-by-step explanation:
See attached pic
Degree refers to the highest exponent
-nomial refers to the number of terms
Question 2 (1 point
There are 4 strawberries, 3 blueberries, 7 bananas and 4 oranges. Find is the ratio of oranges choose the ratio that is the simplest form
The ratio of oranges to the fruits is 2 : 9 in the simplest form.
We are given that we have:
4 strawberries
3 blueberries
7 bananas
and 4 oranges.
So, the total fruits we have are:
Total fruits = 4 + 3 + 7 + 4
Total fruits = 7 + 11
Total fruits = 18 fruits
Now, we need to find the ratio of oranges in these fruits.
Ratio refers to the representation of one number with respect to the other number.
So, the ratio will be:
Ratio = 4 : 18
Simplifying the ratio, we get that:
Ratio = 2 : 9
Therefore, the ratio of oranges to the fruits is 2 : 9 in the simplest form.
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4. A scientist needs 10 liters of a 20% acid solution for an experiment, but she has
only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how
many liters of the 5% and the 40% solutions should she mix to get the solution
she needs? Write and solve an equation to match the situation.
Equation:
The liters of the 5% and the 40% solutions that she should mix to get the solution she needs are 5.7 liters and 4.3 liters respectively.
How to illustrate the information?Let x be the of volume of the 40% solution, then the volume of 5% would be:
10 L = 40% solution volume+ 5% solution volume
10 L= x + 5% solution volume
5% solution volume = 10l-x
Then the volume calculation would be:
10 liter × 20% = x liter × 40% + (10- x) liter × 5% 10l * 20%
= x liter * 35% + 10 liter*5%
x liter *35
= 10l * 20 - 10l *5
= 10l*m × 15x liter
= 10l *15/35
= 4.28 L= 4.3L
The volume of 40% solution= 4.3L
The volume of 5% solution will be:
= 10L- 4.3L
= 5.7L
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Write an equation for the transformation of y=x
vertical compression by a factor of 1/11
An equation for the transformation of y = x vertical compression by a factor of 1/11 is; y = (1/11)x
What is vertical compression in transformation?Vertical compressions in transformations occur when a function is multiplied by a rational scale factor. This means that base of the function's graph would remain unchanged when a graph is compressed vertically because it is only the output values that will be affected.
Now, we are given the equation as; y = x
When it undergoes a vertical compression by a factor of 1/11, we can say that the new equation will be; y = (1/11)x
Thus, we conclude that an equation for the transformation of y=x
vertical compression by a factor of 1/11 is; y = (1/11)x
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Write the formula to calculate the height, h.
Answer:
Full height = present heightpercentage of full height at current age x 100. Q
hope it helps...
please help me, i’ve been stuck on this for a while.
Answer:
x = 29
Step-by-step explanation:
Not sure if they meant actually 61 different numbers or just 2 numbers to make up 61, but I determined that -29 and 29 make up 61 because a negative plus a positive is always positive.
|ax+b| = c
solve for a
-10 2/7 divided (-4 4/11) write fractions in simplest form
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
What exactly is fractional simplification?Simplified fractions are fractions in their simplest, smallest, and most basic form. The fraction's numerator and denominator are reduced to the point where the sole common element between them is 1. For example, 4/6, 8/12, 16/24, and so on are simplified fractions of 2/3.
What exactly do you mean by "simplification"?the process of making anything less complicated and hence easier to do or understand, or the product of such a process: The organization provides advice on how to simplify trade procedures.
According to the given data:-10 2/7 divided (-4 4/11)
This can be written as:
= [tex]\frac{-10\frac{2}{7} }{-4\frac{4}{11} } \\[/tex]
On simplifying we get:
= 68/7 and 40/11
= [tex]\frac{68}{7} /\frac{40}{11}[/tex]
= [tex]$\frac{-68 \times 11}{7 \times-40}$[/tex]
= [tex]$\frac{-748}{-280}$[/tex]
dividing numerator and denominator by 4:
= [tex]$\frac{-748 \div 4}{-280 \div 4}$[/tex]
= [tex]$\frac{187}{70}$[/tex]
= [tex]$2 \frac{47}{70}$\\[/tex]
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
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Simplify the expression
(
7
a
5
b
6
)
4
.
Answer: Simplify the expression ( 7 a 5 b 6 ) 4 is = 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex]
Step-by-step explanation:
Given data,
Expression is = (7 a 5 b 6) 4
So, we can write,
Expression is = (7a^(5)b^(6))^(4)
= [tex][7a^{5} b^{6} ]^{4}[/tex]
Use the power rule [tex](ab)^{n}[/tex] = [tex]a^{n} b^{n}[/tex] to distribute the exponent.
We can use this formula,
Apply the product rule to [tex][7a^{5} b^{6} ]^{4}[/tex]
= [tex][7a^{5} ]^{4}[/tex] [tex][b^{6} ]^{4}[/tex]
Apply the product rule to [tex]7a^{5}[/tex]
= [tex]7^{4} [a^{5} ]^{4} [b^{6} ]^{4}[/tex]
Raise 7 to the power of 4,
= 2401 [tex][a^{5} ]^{4} [b^{6}]^{4}[/tex]
Multiply the exponents in [tex][a^{5} ]^{4}[/tex]
Apply the power rule and multiply exponents, [tex][a^{m} ]^{n}[/tex] = [tex]a^{mn}[/tex]
= 2401 [tex]a^{5*4}[/tex] [tex][b^{6} ]^{4}[/tex]
Multiply 5 by 4,
we can write,
= 2401 [tex]a^{20}[/tex] [tex][b^{6} ]^{4}[/tex]
Multiply the exponents in [tex][b^{6} ]^{4}[/tex]
Apply the power rule and multiply exponents, [tex][a^{m} ]^{n}[/tex] = [tex]a^{mn}[/tex]
= 2401 [tex]a^{20}[/tex] [tex]b^{6*4}[/tex]
Multiply 6 by 4,
we can write,
= 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex]
Therefore,
Simplify the expression ( 7 a 5 b 6 ) 4 is = 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex].
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help pleaseeeeeeeeeeeee
Answer:
1)5n: not balanced
2)1n: Balanced
4)8n: not balaned
Step-by-step explanation:
If y(x) is the solution of the differential equation
[tex] \rm{xdy - ( {y}^{2} - 4y)dy = 0 \: for \: x > 0, \: \: \: \: \: \: \: y(1) = 2,}[/tex]
& the slope of the curve y=y(x) is never zero, then the value of [tex]\rm{10y( \sqrt{2} )}[/tex] is
I assume the equation is
[tex]x \, dy - (y^2 - 4y) \, dx = 0[/tex]
since separating variables leads to
[tex]x\,dy = y(y-4) \, dx[/tex]
[tex]\dfrac{dy}{y(y-4)} = \dfrac{dx}x[/tex]
for which the condition that [tex]x>0[/tex] is actually relevant, as opposed to the simpler differential equation
[tex]x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx[/tex]
(though it's a bit more work to solve for [tex]y(x)[/tex] in this case)
That the slope [tex]\frac{dy}{dx}[/tex] is non-zero tells us that
[tex]\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4[/tex]
Integrate both sides.
[tex]\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x[/tex]
On the left, expand into partial fractions.
[tex]\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x[/tex]
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C[/tex]
With the given initial value, we find
[tex]y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0[/tex]
so the particular solution is
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|[/tex]
By definition of absolute value, with the initial condition of [tex]0 < y=2 < 4[/tex] and the condition [tex]x>0[/tex], we can remove the absolute values.
[tex]\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)[/tex]
Solve for [tex]y[/tex].
[tex]\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)[/tex]
[tex]\dfrac{4-y}y = \dfrac4y - 1 = x^4[/tex]
[tex]\implies y(x) = \dfrac4{1 + x^4}[/tex]
Then
[tex]10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}[/tex]
On the off-chance you meant the other equation I suggested, we find
[tex]\displaystyle \int y(y-4) \, dy = \int x \, dx[/tex]
[tex]\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C[/tex]
[tex]y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6[/tex]
Solving for [tex]y(x)[/tex] involves picking the right branch of the cube root that agrees with [tex]y(1)=2[/tex]. With the cube root formula, we find
[tex]y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)[/tex]
where
[tex]\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}[/tex]
With a calculator, we find
[tex]10y\left(\sqrt2\right) \approx 18.748[/tex]
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
THANK YOU SO MUCH FOR THE HELP!!!!!!!!!!!!!
Answers:
Domain: [tex]-2 \le \text{x} \le 2[/tex]Range: [tex]-2 \le \text{y} \le 2[/tex]The relation is not a function========================================================
Explanation:
The domain is the set of possible x values. The left-most point occurs when x = -2, while the right-most point is when x = 2. Therefore, x is between -2 and 2 in which we write [tex]-2 \le \text{x} \le 2[/tex]. Both endpoints are included.
-----------
The range is the set of possible y values. The possible y values are in the interval [tex]-2 \le \text{y} \le 2[/tex] since y = -2 is the smallest y can get, and y = 2 is the largest it can get. Visually we look at the lowest and highest points respectively to find the span of y values.
-----------
This relation is not a function because it fails the vertical line test.
It is possible to pass a single vertical line through more than one point on the curve. For example, the vertical line through x = -1 goes through the points (-1,1) and (-1,-1)
Phrased another way: The input x = -1 leads to more than one output.
A function is only possible if each input in the domain leads to exactly one output.
21/3 + (3×9) × 9 + 5
Answer:
255
Step-by-step explanation:
Evaluate the following expression when x=2
x3+7x+2=
A.24
B.22
C.10
D.9
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.
What is Expression?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The given expression is x^3+7x+2
Now we have to plug in x value as 2
=(2)^3+7*2+2
The value of 2^3 is 8 and 7*2 is 14
=8+14+2
Add 8, 14 and 2 to get the required solution.
=24
Therefore the expression x3+7x+2 value is 24 when x=2.
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What is 3-5 5-3 additive inverses and their properties to find the equivalent expression?
The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
What is additive inverse?
The Property of Additive Inverse states that the summation of a number and it's Additive inverse is zero.
The expressions are;
3 - 5 and 5 - 3
Now, The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0
And, An Additive inverse of a positive integer is a negative integer and vice versa.
For example: 7 - 7 = 0
Here, The additive inverse of 7 = -7
Since, For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.
a) 3 - 5
Hence, Additive inverse = - 3 - (-5)
= -3 + 5
= 2
b) 5 - 3
Hence, Additive inverse = - 5 - (-3)
= - 5 + 3
= - 2
So, The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
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Answer:
3-5:
3+(-5)
-5+3
5-3:
-3+5
5+(-3)
Step-by-step explanation:
hope this helps ya (☆▽☆)
Write a six-digit number with a 5 in the ten thousands place and a 2 in the ones place?
Answer:
105,342
Step-by-step explanation:
It is valid.
In a particular class of 30 students, 8 are men. What fraction of the students in the class are women?
Answer:
22 students are women.
Step-by-step explanation:
because when the number of students in total is 30 and 8 students are men so the rest of the class are women 30-8=22
Solve the
|2x + 1 ≥-7
I assume you mean
[tex]|2x + 1| \ge -7[/tex]
The absolute value function is non-negative, so
[tex]|2x+1| \ge0 > -7[/tex]
is true for all [tex]x[/tex]; any value of [tex]x[/tex] is a solution to this inequality. (infinitely many solutions)
two number total 64 and have a difference of 30 find the two numbers
Answer:
47, 17
Step-by-step explanation:
Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.
It follows that y=17.
2,553= 2,200(1 + i)²solve the equation
Answer:
The answer is 2553=4400i
Step-by-step explanation:
3+ (2 + 5) = (n + 2) + 5 n=
Answer:
Step-by-step explanation:
the answer is 7
The function f is defined by f(x)=x+5.
Find f(x-1).
The value of f (x -1) is;
f (x - 1) = x + 4
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
Function f (x) = x + 5
Now,
Find the value of f (x - 1), we substitute the value x = x - 1;
f (x) = x + 5
f (x - 1) = (x - 1) + 5
f (x - 1) = x - 1 + 5
f (x - 1) = x + 4
Thus, The value of f (x -1) is;
f (x - 1) = x + 4
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3/4x + 9 = 0
Please help with this
A cooler is filled with four liters of water and it is marked every 0.2 l and each bottle holds 4/9 of a liter for for water bottles are filled how much water is left in the cooler
Complete question :
A cooler contains 4 L of water. The cooler has marks on it at every 0.2 L. Water bottles are filled with water from the cooler, and each bottle holds approximately 4/9L. After 4 water bottles are filled, between which two marks is the water level in the cooler? Show your work.
Answer:
2.2 - 2.4 Litre
Step-by-step explanation:
Capacity of cooler = 4L
Marking on cooler = every 0.2L
Capacity of bottle = 4/9 L
Number of bottles filled = 4
Total volume filled = (4/9) * 4 = 16/9 L = 1.78L
Volume of water left in tank :
(4 - 1.78)Litre
= 2.22 litres
Since, the tank is marked at 0.2 L interval ; the water level will be between 2.20 to 2.40 litres
if Dr. I.M. smart mixes 30mL of acid into 50 ml of a 20% acid solution, what is the quantity and concentration of the final solution?
the final solution is ______ mL with ______ % concentration
thank you so much for the help!
The final solution which Dr. I.M. smart made is 80 ml with 50% acid concentration.
What is concentration ?Concentration determine how much percentage of a certain type of liquid is there in the whole mix of two or more than two liquids.
According to the given question Dr. I.M smart mixes 30ml of acid in 50ml of 20% acid solution.
Let us assume that in 50ml of 20% acid solution x ml is acid
∴ (20/100)×50 = x.
(1000/100) = x
x = 10ml.
Now he adds 30 ml of acid into this so total acid in this concentration is (10+30) ml = 40 ml and remaining concertation has 40 ml of other quantity.
∴ The total solution is now of 80 ml.
So the final solution is 80ml with 50% acid and 50% other concentration.
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solve the linear equation
8-x=26+x
The solution of the linear equation is x = -9
What is a linear equation?A linear equation is an equation in which the highest power of the unknown is one.
How to solve a linear equation?To solve a linear equation, we collect the like terms and them perform operations of addition, subtraction, multiplication and division to simplify the results and get the answer.
How to solve the linear equation?Since we have 8 - x = 26 + x
To solve the linear equation, we add + x to both sides. So,
8 - x + x = 26 + x + x
8 + 0 = 26 + 2x
8 = 26 + 2x
Next, we subtract 26 from both sides.
8 - 26 = 26 - 26 + 2x
-18 = 0 + 2x
-18 = 2x
Next, we divide both sides by 2. So, we have
2x = -18
x = -18/2
x = -9
So, the solution of the linear equation is x = -9
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Is 3.778 a rational number
Answer:
No
Step-by-step explanation:
This is an irrational number... Hope this helps!!
HELP ME PLS 50 POINTS ASAP!!!!!!!!!!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
Write an addition expression to represent the following scenario. Then, determine which level the attendant is on.
A valet attendant parks a car in Parking B, takes the elevator up six levels, and then takes the elevator down three levels.
Answer:
(B+6)- 3
is it correct?
Live Fund are selling their holdings at $5,000 per share. How much would Live Fund receive
if they sold half their holdings in Marks Brother
Harp Pensions: 12%
PRH: 19%
USS Oils: 8%
Live Fund 24%
Marks Family 32 %
Trust
Given data,
Live Fund are selling their holdings at $5,000 per share
Sale price of Live Fund holding = 5000 dollar
To find:
Amount that Live Fund will get if they sell half of their holding in Marks Brothers.
Assume the total number of shares held by Live Fund in Marks Brothers as A
Therefore, half the holdings (or half the number of shares) of Live Fund will be.
= A/2
Thus, if each share is valued at $5000,
Then the total value of the number of shares sold will be as follows,
= 5000 × A/2 dollars
= [tex]\frac{5000*A}{2}[/tex] dollars
= 2500 A dollars
Hence, Live Fund will receive $2500 A
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Solve the following equations, explain and check your solution.
2(x-3) -17=13-3(x+20)
2(x-3)-17=13-3(x+20)
2x-6-17=13-3x-60
2x-23=-3x-47
5x-23=-47
5x= -24
Answer:
x = -4.8
Step-by-step explanation: