Answer:
320
Step-by-step explanation:
Use PEMDAS - order of operations
5(2)^2 + 3(10)^2
5 x 4 + 3 x 100
20 + 300
320
What would you do if when you okay so he said yes would go??
2) The area of my best friend's pool is 121ft2. What is the width of the pool if the length is 12ft?
Answer:
10.083333...ft
Step-by-step explanation:
length = 12ft
area = 121sqft
area = length * width
121sqft = 12ft * width
width = 121sqft / 12ft
[tex]width = 10\frac{1}{12}\mathrm{ft}[/tex]
width = 10.08(3)ft
Find the distance.
1. (-2,2) (4, -1)
2. (-3,-5) (2, 5)
3. (-4,0). (2, 3)
Answer:
1)3√5
2)5√5
3)3√5
Bill weighs 53kg.This is more than Juan. How much does Juan weigh
Answer:
Step-by-step explanation:
Answer:
This is more than Juan
Step-by-step explanation:
HELP MEEEEEE ❓❓❓⁉️⁉️⁉️⁉️⁉️
A) two rational roots
B) two unrational roots
C) two equal roots
D) two unequal real roots
E) two non real complex roots
The nature of the roots in the given quadratic equation (x - 3)² + (x - 4)² = 0 is; A: two rational roots
What are the roots of the Quadratic Equation?We are given the quadratic equation;
(x - 3)² + (x - 4)² = 0
Now, some of the rules in naming the roots are;
If b² – 4ac > 0, then the roots are real and unequal
If b² – 4ac = 0, then the roots are real and equal
If b² – 4ac < 0 then the roots are unequal and Imaginary
If b² – 4ac > 0 (is a perfect square), then the roots are real, rational and unequal
If b² – 4ac > 0 (is not a perfect square), then the roots are real, irrational and unequal
From the above rules and comparing to our given equations, it is clear that we have two rational roots which are x = 3 and x = 4.
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Im not sure how to do this one
Answer:
B
Step-by-step explanation:
6x - 8x - 4 = - 2x - 2 , that is
- 2x - 4 = - 2x - 2 ( add 4 to both sides )
- 2x = - 2x + 2 ( add 2x to both sides )
0 = 2 ← not possible
this indicates the equation has no solution
Answer:
6x-8x-4=-2x-2 (group the like terms)
6x-8x+2x= 4-2 (-8x+2x= -6x and 6x-6x=0) (4-2=2)
answer= 0=2
,therefore: it has no solution
Step-by-step explanation:
the answer is 0=2 which mean there is nothing that 2 is equivalent to because when you group the like terms and work out the answer the x in the equation will be canceled.
2/3x - 5/8 = 1
pls help asap
15 A function is graphed on the set of axes below.
State the domain of this function. State the range
of this function.
The domain of the function is: [-1, 10]
And the range of the function is: [-1,0,1,2,3,4,5,6,7,8,,9,10]
According to the question, the intervals can be defined by a common difference of one value.
Therefore, the domain of the function is: [-1, 10]
And the range of the function is: [-1,0,1,2,3,4,5,6,7,8,,9,10]
What is domain and range in the function?
The domain of a function can be defined as the complete set of all the possible values for the dependent variables. Similarly, the range of the function can be expressed as the set of all the values which can be assumed by the expression of the function.
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Divide and simplify. √36 x⁴ / √9 x⁶
The divide and simplify of the equation √36 x⁴ / √9 x⁶ will result to [tex]\frac{2}{x^{2} }[/tex]
Let's begin by simplifying the equation;
Simplify the equation by finding the square root of both 36 and 9
The square root of 36= 6
The square root of 9= 3
= [tex]\frac{6x^{4} }{3x^{6} }[/tex]
The above equation can also be written as;
= [tex]6x^{4} * 3x^{-6}[/tex]
The next step is to solve the powers, that is,
= [tex]\frac{6x^{4} }{3x^{6} }[/tex]
Cancel out 6 by 3 and get 2
The result is,
= [tex]\frac{2}{x^{6-4} }[/tex]
The final submission result is,
= [tex]\frac{2}{x^{2} }[/tex]
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Is y=e (x+7) a natural base exponential function?
We need to know about natural exponential function to solve the problem. The given function is a natural base exponential function.
An exponential function is a function in which x is an exponent. An exponential function has an exponential graph that keeps growing. A natural base exponential function is one where the base of the function is e which is a mathematical constant and is approximately equal to 2.71828. The inverse of a natural exponential function is a logarithmic function. An exponential function is of the form y=[tex]b^{x}[/tex] where b is the base, in a natural base exponential function, the b is replaced by e which means y=[tex]e^{x}[/tex]. In the given question y=[tex]e^{x+7}[/tex] is a natural base exponential function since the base is the natural base.
Therefore we found that the given function is a natural base exponential function.
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Aidan is doing a multiple choice test with 20 questions he scores 3 marks for a correct answer and loses 1 mark if the answer is incorrect he answered all questions and scored 40 marks how many we questions were correct
Answer: 10 answers correct and 10 answers incorrect
Step-by-step explanation:
60 is the highest total assuming every one was correct
20 is the lowest total assuming every one was incorrect
40 is the middle meaning he got half write half wrong
Half of 20 is (10) (10 x 3 = 30 ) + ( 10 x 1 = 10 ) 30 + 10 = 40
Answer: 13.3 repeating is what I got see if it make sense according to my work
Step-by-step explanation: 20x3=60, and one mark per wrong answer, so 60-40=20 wrong. So, 40 divided by 3=13.3 repeating
Solve. Check for extraneous solutions. 3 √2x -3=9
No extraneous solution to the equation.
The equation is:
3[tex]\sqrt{2x}[/tex] - 3= 9
To know whether the equation has an extraneous solution, first we need to find the value of x.
[tex]3\sqrt{2x}[/tex] = 12
[tex]\sqrt{2x}[/tex] = 4
2x = 16
x = 8
Now put the value of x in the equation.
3[tex]\sqrt{2 * 8}[/tex] - 3 = 9
3× 4 - 3 = 9
12 - 3= 9
9 = 9
Therefore there is no extraneous solution to the equation, x = 8 is the solution of the equation.
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I need help with this today please!
Answer:
kevin ate 1/6 more than Kathy or un simplified, 2/12
Step-by-step explanation:
least common denominator
Given the measures of three angles of a triangle, explain how to find the ratio of the lengths of two sides of the triangle.
You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.
what is the gradient
pls help giving brainliest answers!! :)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx}\left(\frac{x}{2}-\frac{1}{3}\right)[/tex]
= [tex]\frac{d}{dx}\left(\frac{x}{2}\right)-\frac{d}{dx}\left(\frac{1}{3}\right)[/tex]
=[tex]\frac{1}{2}\frac{d}{dx}\left(x\right) - 0[/tex]
= [tex]\frac{1}{2} - 0[/tex]
= [tex]\frac{1}{2}[/tex]
Hope this helps! :) please leave a rating and brainliest if this was useful!
Somebody please solve the Absolute Value Inequality.: |-7b+1|-8<-70
Answer: the answer is no solution
Step-by-step explanation:
Answer:
No Solution
Step-by-step explanation:
An absolute value will always have a positive value. If you isolate the absolute value it shows the abs val LESS THAN a negative number. Its not possible to have a positive less than a negative.
If you just go on and do the problem in auto-pilot, the answers don't check. ALSO since it it a LESS THAN inequality statement BOTH of the inequalities have to be true at the same time which is not possible.
See image.
Solve each equation. Check your answers. ln 3 x=6
After solving the equation ln 3x =6, the value of x is equal to [tex]\frac{e^6}{3}[/tex]
We have been asked to find x in ln 3 x=6
⇒ ln 3 x = 6
⇒ 3x = [tex]e^6[/tex]
⇒ x = [tex]\frac{e^6}{3}[/tex]
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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10.
Ginnie and her cousin went to a restaurant for dinner. Ginnie dinner cost
$15 more than her cousin's. If their combined bill was under $65, which
inequality best describes the cost of their dinners?
The cost of the Ginnie's dinner is a $40 and the cost of his cousin's dinner is $25.
According to the statement
We have to find that the cost of their dinners.
So, For this purpose, we all know that the
The cost function may be wont to find the common cost, which is that the average amount of cash it costs to provide a unit.
From the given information:
Ginnie dinner cost $15 over her cousin's. If their combined bill was under $65.
Then
Let Ginnie dinner is x and his cousin's be y.
Then
x+y = 65 And x = y+15
Then
Substitute the values then y+15+y = 652
y+15 = 652
y = 65-152
y = 50
[tex]y = \frac{50}{2}[/tex]
y = 25.
Then x = y+15
x = 25+15
x = 40.
So, The cost of the Ginnie's dinner is a $40 and the cost of his cousin's dinner is $25.
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Solve. Check for extraneous solutions. √-3 x-5=x+3
-7 = extraneous solution
The equation is
[tex]\sqrt{-3x - 5}[/tex] = x + 3
To find the value of x we need to square both sides of the equation
[tex](\sqrt{-3x - 5})^{2}[/tex] = [tex](x + 3)^{2}[/tex]
- 3x -5 = [tex]x^{2}[/tex] + 6x + 9
[tex]x^{2}[/tex] + 9x + 14 = 0
[tex]x^{2}[/tex] + 7x + 2x + 14 =0
x( x + 7) + 2( x + 7) = 0
(x + 7) (x + 2 ) = 0
x = -2, -7
To find the extraneous solution we have to put both the value of x in the equation.
x=-2
[tex]\sqrt{(-3 * -2) - 5}[/tex] = -2 +3
[tex]\sqrt{1}[/tex] = 1
1 = 1
x = -7
[tex]\sqrt{(-3 * -7) - 5}[/tex] = -7 +3
[tex]\sqrt{16}[/tex] = -4
4 = -4
The extraneous solution of the equation is -7 and -2 is the solution of the equation
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show work please
2x + 3(4x – 1)
pls help and show ur work
4/15+1/2?????????????????????????????????????????????????????????????????????????????????????????
Answer:
23/30
Step-by-step explanation:
4/15= 8/30
1/2= 15/30
8/30+15/30= 23/30
Maxwell drives 45 miles/hour for 0.4 hours. Bianca drives 65 miles/hour for 0.25 hours.
Who drove farther?
Answer:
D Maxwell drove further. He drove 18 miles.
Step-by-step explanation:
Distance = Speed × Time
Maxwell:
Distance = 45 × 0.4
Distance = 18 miles
Bianca:
Distance = 65 ×0.25
Distance = 16.25 miles
18 > 16.25
Maxwell drove further. He drove 18 miles.
Answer:
D. Maxwell. He drove 18 miles,
Step-by-step explanation:
Distance = speed * time
Maxwell drives:
45 * 0.4 = 18 miles.
Bianca drove:
65 * 0.25 = 16.25 miles.
Write a polynomial function with rational coefficients and the given roots.
-√7, 1+2 i
The polynomial function is [tex]x^{2}-x-2ix+\sqrt{7}x-\sqrt{7}-2\sqrt{7}i[/tex]
What are polynomial functions ?In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as quadratic equation, cubic equation which has non negative number as their powers are part of polynomial equation.
Types of polynomial equations :
Monomial equationBinomial equationCubic EquationsLinear Polynomial Quadratic PolynomialSome examples of polynomial equation are :
2x+53x = 93x² + 5x+19(x-3)³According to question,
roots are -√7 , 1+2i
Thus the factors are :
(x - (-√7)) (x-(1+2i))
=> (x+√7)(x-1-2i)
=>x²-x-2ix+√7x-√7-√7.2i
Thus polynomial function for given roots is x²-x-2ix+√7x-√7-√7.2i.
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What is a rational number with a diameter of 7 that is between the square root of 7 and the square root of 8? Write your answer as an improper fraction.
The rational number between the square root of 7 and the square root of 8 is 27/10
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to determine the rational number?The features of the rational number are given as
Value = between the square root of 7 and the square root of 8
Rewrite the value properly
So, we have
Value = between √7 and √8
Evaluate the values of √7 and √8
So, we have
√7 = 2.65
√8 = 2.83
This means that the rational number is between 2.65 and 2.83
A number between 2.65 and 2.83 is 2.7
Express as fraction
value = 27/10
Hence, the rational number between the square root of 7 and the square root of 8 is 27/10
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Given the linear function below identify the slope (m).
y=-3x - 5
m=
Answer:
m is always the number in front of x
y=mx+c
so m=-3
Step-by-step explanation:
PLEASE HELP QUICK TYSM
Answer:
Step-by-step explanation:oooooooooooooooooooooooooooooooooooooo
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2(5-8) ³+3(7-10) ²+9-2
Answer:
Brainliest pls
Step-by-step explanation:
-20
Answer:
The answer is -20.
Step-by-step explanation:
REMEMBER THIS:
Please excuse my dear aunt sally…
PLEASE = PARENTHESIS
EXCUSE= EQUATION
MY = MULTIPLICATION
DEAR = DIVISION
AUNT = ADDITION
SALLY = SUBTRACTION
^In that order^
Remember to use this statement to remember how to simplify the expression. PEMDAS.
In holly jewelry box 50% of the jewelry is bracelets and the rest is necklaces.If holly has 30 bracelets,How many pieces of jewelry is in her jewelry box
There are between 50and 60 eggs in a basket when mohammed counts by 3's,there are 2egg left left over when he counts by 5's there are 4 left over how many eggs are there in the basket
Answer: 59 eggs
Step-by-step explanation: Dividing 3 will get you 19 eggs with 2 left over. Dividing 59 by 5 will get you 11 eggs and 4 left over