Answer:
9x3 - 2x - 3.
Step-by-step explanation:
(6x3 − 8x − 5) + (3x3 + 6x +2)
= 6x3 − 8x − 5 + 3x3 + 6x + 2
= 6x3 + 3x3 - 8x + 6x - 5 + 2
= 9x3 - 2x - 3.
Answer:
9x-2x-3
Step-by-step explanation:
I took the test
If 3sinA+4cosA=5 then find the value of cosA
Answer:
Cos A =1.4
Step-by-step explanation:
3sinA=5-4cosA; square both sides: 9sin^2(A)=25-40cosA+16cos^2(A);
9-9cos^2(A)=25-40cosA+16cos^2(A); 25cos^2(A)-40cosA+16=0=(5cosA-4)^2.
cosA=4/5 so sinA=3/5 (√(1-16/25) and sinA+cosA=7/5=1.4.
Is 4.05 repeating equivalent to 405/99
Answer:
No
Step-by-step explanation:
405 repeating is
405/999
not 405/99
405/99=4.090909090909....
4.05 repeating is not equivalent to 405/99.
What is the arithmetic operator?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.
The division is to divide two numbers by each other example 2/4.
The division is a very common phenomenon in mathematics so we need to divide two numbers or expressions.
Subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The most common mathematical operation is multiplication, which involves adding two or more integers to get a new multiplied number.
Given,
405/99
If we divide 405 by 99 then it will go 4 times and leave the remainder as 9.
Further, we make a decimal and again divide it will go 090909091 so it means it is repeating 09 four times.
Hence, 4.05 repeating is not equivalent to 405/99.
To learn more about the arithmetic operator
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i need help please :(
Answer:
-(1/3 · 1/3 · 1/3 · 1/3 )
Step-by-step explanation:
-(3)^-4= -1/3 ^4 = -1/81
-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81
Answer:
Answer:
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
Step-by-step explanation:
[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex][tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex][tex] = - \frac{1}{81} [/tex]
Solve (s)(-3st)(-1/3)
Answer:
Step-by-step explanation
URGENT PLS HELP ASAP! THANK YOU :)
Answer:
box 1 and box2 are correct.
The area of a trapezium is 105cm² and its height is 7 cm. If one of the parallel sides is longer than the other by 6cm, find the lengths of two parallel sides.
Answer:
Step-by-step explanation:
What is difference between internal and external trade
Answer:
Trade which takes place inside a country is known as internal trade. If trade takes place with other countries of the world, it is known as external trade.
Step-by-step explanation:
Answer:Internal refers to trade within the country itself while
External refers to trade with other countries whether foreign or bordering countries
Step-by-step explanation:
''Internal'' trade-Trade within the locals of the country itself
''External'' trade-refers to ;outside of the country...trade with other countries
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation above. Which of the following correctly shows the cylinder's height in terms of its radius and surface area?
Step-by-step explanation:
If r and h are the radius and height of the cylinder, then its surface area A is given by :
[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)
We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :
[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]. So,
[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]
Hence, this is the required solution.
Rejoice bought 600 oranges at 5 for GH¢3.00 to be sold at the market. On her arrival 5% of the oranges got rotten and she sold the rest at one for GH¢1.00...
I) How any oranges did she finally sell?
ii) Find her loss or profit percent.
Answer:
She finally sold 570 oranges
Profit %= 58.33%
Step-by-step explanation:
Quantity bought=600
Price=5 for GH¢3.00
Total cost price=600/5 * GH¢3.00
=120*GH¢3.00
=GH¢360.00
5% of 600 oranges got rotten
=5/100*600
=30 Oranges were rotten
I) How any oranges did she finally sell?
She finally sold
Sold oranges= Total oranges - Rotten oranges
=600-30
=570 oranges
Selling price=GH¢1.00 * 570 oranges
=GH¢570.00
ii) Find her loss or profit percent
Profit or loss percent= Selling price - cost price / cost price * 100
% profit or loss=S.P - C.P / C.P * 100
=GH¢570.00 - GH¢360.00 / GH¢360.00 * 100
=GH¢210.00/GH¢360.00 *100
=0.5833 * 100
=58.33% profit
andy is making floor plans for a tree house using a scale 1in to 2ft he wants to make the floor of the tree house have a length of 8ft. how many inches should he show for this distance on his floor plan
Answer:
Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches
Step-by-step explanation:
The scale of the tree house plan is given as 1 in. to 2 ft,
Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions
Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;
[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]
[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]
Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.
interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________
Answer:
9x + 4y +(-5)
Step-by-step explanation:
Given
9x + 4y - 5
Required
Interpret
Write as a sum
The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.
The terms are the expression being added together and they are 9x, 4y and -5
The variables are the represented with alphabets they change in values; the two variables in the given question are x and y
Constant are numbers standing alone; This is 5
Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4
Writing 9x + 4y - 5 as a sum
The -5 can be written as +(-5); So, we have
9x + 4y +(-5)
Is this answer correct?
Answer:
yes
The statement 'C' explains the difference between a plane and a ray.
i.e. A plane does not have a formal definition, and a ray is described through undefined terms.
Step-by-step explanation:
A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because
A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.
In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.
Therefore, the statement 'C' explains the difference between a plane and a ray.
i.e. A plane does not have a formal definition, and a ray is described through undefined terms.
Keywords: plane, point, line, ray
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Match each expression with its greatest common factor. 4a + 8 2a2 + 8a 12a2 − 8a 4 − 6a Greatest Common Factor Expression 4 : 2 : 2a : 4a :
Answer:
see explanation
Step-by-step explanation:
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
Match each expression with its greatest common factor as follows;
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
What is the greatest common factor?The largest number that is found in the common factors is called the greatest common factor.
The given expression are;
4a + 8
2a² + 8a
12a² - 8a
4 - 6a
The greatest common factor of the expression are as follows;
4a + 8 = 4(a+2) = common factor = 4
2a² + 8a = 2a(a+4a) = common factor = 2a
12a² - 8a = 4a(3a-2) = common factor = 4a
4 - 6a = 2(2-3a) = common factor = 2
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The winning times (in seconds) in a speed-skating event for men can be represented by the formula T = 46.97 - 0.099x, where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be 1992 - 1920 = 72.) According to the formula, what was the winning time in 1997? Round to the nearest hundredth. * 1 point 40.34 sec 39.35 sec 3609.07 sec 41.33 sec
Answer:
39.35 sec
Step-by-step explanation:
Given that:
The winning time is represented by the function:
T = 46.97 - 0.099x
Where x = year ; x = 0 corresponding to 1920
According to the formula, what was the winning time in 1997?
first find the value of x;
x = 1997 - 1920 = 77 years
Nowing plugging the value of x in the function :
T = 46.97 - 0.099(77)
T = 46.97 - 7.623
T = 39.347 seconds
T = 39.35 s
write as an expression: a number that is equal to five less than b
Answer:
[tex]\huge\boxed{a = b-5}[/tex]
Step-by-step explanation:
Let the number be a
So, the given condition is:
a = b-5
Answer:
[tex]\Huge \boxed{a=b-5}[/tex]
Step-by-step explanation:
Let the number be [tex]a[/tex].
[tex]a[/tex] is equal to 5 less than [tex]b[/tex].
5 is subtracted from [tex]b[/tex].
when symplified 9a-6b+a-b
Answer:
10a -7b
Step-by-step explanation:
9a-6b+a-b
Combine like terms
9a+a -6b-b
10a -7b
Answer:
10a-7b
Step-by-step explanation:
[tex]9a - 6b + a - b \\ 9a + a - 6b - b \\ 10a - 7b[/tex]
Can you help me please.
Answer:
option 2.
Step-by-step explanation:
You use the y-intercept form: y=mx+b
mx=slope, and b=y-intercept.
Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.
So now, we can see the only option having the slop -2/3x is option 2.
Evaluate the expression for x= 3 and y= 6.
51x² + y + 3
Answer:
468
Step-by-step explanation:
The equation is: 51x² + y + 3
Let's first find x. It says x= 3, so let's subsitute that in.
51(3)² + y + 3
3² is 9 because 3 times 3 is 9, which means:
51(9) + y + 3.
It is 51 times 9 and not 519 because x was supposed to be squared by itself and 51 was next to it. When a number is close to another number, especially with parentheses, it wants you to multiply the two together.
For example: 3(3) is 9 and 4(5) is 20.
Now that we found x, let's get y. The problem states that y= 6...let's subsitute that in.
51(9) + 6 + 3.
Now that we got all the variables out of the way, we can simplify!
51 times 9= 459
459+6+3 is the same thing as 459+9, since 6+3= 9.
459+15= 468 :)
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
i think 60 parts of blue paint are in the can.
Step-by-step explanation:
ratio should be equal in both cases
therefore,let blue part in second case be x(suppose)
5÷4=75÷x
by equating this we will be able to identify the value of x
and the value of x comes 60 which is the required answer....
hope this will help you..
i try my best to give correct answer..
if i am mistake, i am sorry for that...
In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units and m∠CAB is °.
Applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
The image that shows ΔABC is attached below.
Since AB = BC, therefore, ΔABC is an isosceles triangle.
This implies that, the base angles will be equal.
Thus:
If m∠ABC = 90°, therefore,
m∠CAB = ½(180 - 90)
m∠CAB = 45°.
DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.
Based on the midsegment theorem, we have the following equation:
DE = ½(9)
DE = 4.5 units.
Therefore, applying the midsegment theorem and the definition of isosceles triangle:
DE = 4.5 units
m∠CAB = 45°
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Answer:
4.5
45
Step-by-step explanation:
a red sea urchin grown its entire life, which can last 200 years. An urchin at age 30 has a diameter of 11.9 cm, while an urchin at age 110 has a diameter of 15.5 cm What is the average rate of change over this given period
A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045
Average rate of change = 0.045 cm
The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.
What is Derivative in mathematics?
Derivative in mathematics represent the rate of change of a function with respect to a variable.
Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.
From the question we can write -
Initial age = A[1] = 30
Initial diameter = D[1] = 11.9 cm
Final Age = A[2] = 110
Final diameter = D[2] = 15.5 cm
Average rate [r] = D[2] - D[1] / A[2] - A[1]
r = D[2] - D[1] / A[2] - A[1]
r = 15.5 - 11.9/110 - 30
r = 3.6/80
r = 0.045
Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.
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solve for x 15x + 6 = 10x + 21
Answer:
15x+6=10x+21
15x-10x=21-6
5x=15
divide by 5
5x/5=15/5
x=3
Answer:
x=3
Step-by-step explanation:
15x+6=10x+21
-10x
5x+6=21
-6
5x=15
divided by 5
x=3
line passing through points (-4,2) and (0,3)
Answer:
y-y1=m(x-x1)
or,y-2=1/4(x+4)
or,4y-8=x+4
or,x-4y+12=0 is the required equation.
Step-by-step explanation:
If it helps you, plz mark it as brainliest
1. Find the slope of a line passing through points (0,0) and (4,5)
o 4/5
5/4
4/9
5/9
Option 5
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]
Answer:
The answer is 5/4Step-by-step explanation:
Slope of a line is given by
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]where
m is the slope and
( x1 , y1) and (x2 , y2) are the points of the line
Slope of the line between the points
(0,0) and (4,5) is
[tex]m = \frac{5 - 0}{4 - 0} = \frac{5}{4} [/tex]Hope this helps you
What is the value of m in the equation 1/2m - 3/4n = 16, when n = 8?
Answer: m= 44
Step-by-step explanation:
1/2m - 3/4n = 16 when n is 8 put it into the equation and solve for m.
1/2m - 3/4(8) = 16
1/2m - 6 = 16
+6 +6
1/2m = 22
m = 44
Answer:
44
Step-by-step explanation:
● (1/2 )× m - (3/4) × n = 16
Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)
● 0.5 × m - 0.75 × 8 = 16
● 0.5m - 6 = 16
Add 6 to both sides
● 0.5 m - 6 + 6 = 16+ 6
● 0.5 m = 22
Multiply both sides by 2
● 0.5m × 2 = 22 × 2
● m = 44
3x/4 - 5 = 10
I need help solving this equation someone please help
Answer:
x = 20
Step-by-step explanation:
Hello!
What we do to one side we have to do to the other
3x/4 - 5 = 10
Add 5 to both sides
3x/4 = 15
Multiply both sides by 4
3x = 60
Divide both sides by 3
x = 20
The answer is x = 20
Hope this helps!
Answer:
20
Step-by-step explanation:
3x/4 - 5 = 10
3x/4 = 10 + 5
3x/4 = 15
3x = 15 * 4
3x = 60
x = 60/3
x = 20
how many are 5 raised to 4 ???
Answer:
625
Step-by-step explanation:
5⁴ = 5x5x5x5 = 625
A number rounded to the nearest hundred thousand is 400,00. The same number rounded to the nearest ten thousand is 350,000. What could be the number?
Answer:
the number could be between 350,000 and 354,999
Step-by-step explanation:
when calculating to the nearest hundred thousand
for instance, your number is in this format abc,def, the hundred thousand place is determined by "b".
So if the value of b is over 5, when approximating, 1 is added to a.
if the value of b is below 5, when approximating, 0 is added to a.
Therefore, 354,999 to the nearest hundred thousand is 400,000
when calculating to the nearest ten thousand
for instance, your number is in this format abc,def, the ten thousand place is determined by "c".
So if the value of c is over 5, when approximating, 1 is added to b.
if the value of c is below 5, when approximating, 0 is added to b.
Therefore, 354,999 to the nearest ten thousand is 350,000
Caculate the value of x on the figure below
Answer:
x = 58
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended by the same arc, thus
x + 62 = 2(x + 2)
x + 62 = 2x + 4 ( subtract x from both sides )
62 = x + 4 ( subtract 4 from both sides )
58 = x
A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
Answer:
answer is d
Step-by-step explanation:
