The expression (2/7)x (1.4x² - 3.5y) can be written in the form of a polynomial as 0.4x³ - xy.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The expression is given below
[tex]\rm \dfrac{2x}{7} \times (1.4x^2-3.5y)[/tex]
The expression can be written in the form of the polynomial
[tex]\rightarrow \rm \dfrac{2x}{7} \times (1.4x^2-3.5y)\\\\\\\rightarrow \rm \dfrac{2x \times 1.4x^2}{7} - \dfrac{3.5y\times 2x}{7 }\\\\\\\rightarrow \dfrac{2.8x^3}{7} - \dfrac{7xy}{7 }\\\\\\\rightarrow 0.4x^3 - xy[/tex]
The expression in the form of a polynomial is given as
[tex]\rm \rightarrow 0.4x^3 - xy[/tex]
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can u guys please help a poor soul
1/root 5 - root 3
hope it really helps......!!!!!!
graph the line y= 4/3x
Answer:
RISE/RUN
Step-by-step explanation:
You start at (0,0)move up 4move right 3Segment AB has point A located at (4, 2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B? 3 = square root of the quantity of x minus 2 all squared plus y minus 4 all squared 3 = square root of the quantity of x minus 4 all squared plus y minus 2 all squared 3 = square root of the quantity of x plus 2 all squared plus y plus 4 all squared 3 = square root of the quantity of x plus 4 all squared plus y plus 2 all squared
The equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
For this case, we're specified that:
The coordinates of A are (4,2)
The distance from A to B = 3
Let the coordinates of B be (x,y), and (p,q) = (4,2), then we get;
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\or\\\\3 = \sqrt{(x-4)^2 + (y-2)^2}\\[/tex]
Thus, the equation that can be used to find the coordinates of B given the coordinates of A and the length of the line segment AB is given by: Option B: 3 =√[(x-4)² + (y-2)²]
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A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.
Write the probability as a fraction in simplest form.
6/25 is incorrect
Answer:
18/245.
Step-by-step explanation:
Total number of coins = 12+15+23 = 50.
Prob(Karen chooses a dime) = 15/50 = 3/10.
Prob(Mikah then chooses a quarter) = 12/49. ( Karen has already removed one coin)
Prob(of Karen choosing a dime then Mikah a quarter)
= 3/10 * 12/49
= 36/490
= 18/245.
((454 x 344)/4) + 4854
Solve order of operations
Answer:
43,898
Step-by-step explanation:
1. 454 x 344 = 156,176
2. 156,176 / 4 = 39,044
3. 39,044 + 4,854 = 43,898
I need help with this question really confused
Answer:
7.722[tex]cm^2[/tex]
Step-by-step explanation:
Work out the area of the circle
By the length of the square, you know the diameter of the circle is 12 cm so the radius is 6cm. Then you can calculate the area of the circle by doing
[tex]6^{2}[/tex]π =36π [tex]cm^{2}[/tex]
Work out the area of the square
12 x 12 = 144 [tex]cm^{2}[/tex]
So the bit not occupied by the circle will be 144- 36π = 30.888 [tex]cm^2[/tex]
However, the shaded area is just 1/4 of this bit so 30.888 / 4 = 7.722 [tex]cm^2[/tex]
solve each logarithmic equation. Round your answer to two decimal places.
log4 16 = x
my attempt:
log4 16 (x+x) = x
--
x
log 4 (x+16) = 1
(x + 16) = 1
x + 16/1 =17
x+ 16 = 17
x= 8/9
Answer:
x = 2Step-by-step explanation:
Given equation
[tex]log_416=x[/tex]Use the property of logarithm
[tex]log_ab=c[/tex] ⇒ [tex]b = a^c[/tex]Apply to the given equation
[tex]16 = 4^x[/tex][tex]4^2=4^x[/tex][tex]2 = x[/tex][tex]x=2[/tex]Let's see
[tex]\\ \rm\Rrightarrow log_416=x[/tex]
[tex]\\ \rm\Rrightarrow 16=4^x[/tex]
[tex]\\ \rm\Rrightarrow 4²=4^x[/tex]
[tex]\\ \rm\Rrightarrow x=2[/tex]
Done!
Tulong bwhahahhahahaha
solve for m m/5 + 9 = 11
Answer:
10
Step-by-step explanation:
10
Answer:
10
Step-by-step explanation:
1) -9 on both sides
2) m/5=2
3) multiply both sides by 5
4) m=10
how to graph y = x + 10
Answer:
if you use desmos graphing calculator it will make graphing equations like this easier.
Step-by-step explanation:
by easier i mean it just graphs it for you. hope this helps:)
The diameter of a circle is 8 inches. What is the angle measure of an arc 37 pie inches long?
Answer:
135 degrees.
Step-by-step explanation:
Circumference of the circle
= 8pi inches.
8pi equals 360 degrees
So 3pi = (3pi / 8pi) * 360
= 3/8 * 360
= 135 degrees.
Which of the following numbers is a multiple of 7?
Answer:
You have to share number too
Find the surface area of the prism.
A cube with side edges of 7 yards.
yd2
Answer:
To find the surface area of a cube, use the formula: surface area = 6s^2, where s is the length of one of the sides. If you don't know the length of the sides, you can find the surface area using volume. Just find the cube root of the volume, which is equal to the length of one side of the cube.
Step-by-step explanation:
how many gallons of paint are needed for one coat on the entire exterior of the barn, including roof?
A bran with the dimensions shown is to be painted. One gallon of pain covers 400 square feet. 23 gallons of pain is need for the one coat of the barn. Option B is correct.
Given that,
A bran with the dimensions shown is to be painted.
One gallon of pain covers 400 square feet.
We have to find how much gallon of paint for one coat on the entire external of the bran, including the roof.
So,
We can see in the picture
1 side of the barn is rectangle with length and breath that is 24 feet and 60 feet.
1 side of the barn is square with side 40 feet.
The front upper side has a triangle with height 21 feet.
Now, We find the area of the rectangle.
Area of rectangle is length × breath
=24feet×60 feet
=1440 square feet
1440 square feet divided by 400 square feet
1440/400=3.6
So, the bran has 2 rectangular sides so 3.6+3.6=7.2
Now, we find the area of square.
Area of square is side × side
=40 feet ×40 feet
=1600 square feet
1600 square feet divided by 400 square feet.
1600/400=4
So, the barn has 2 square side so 4+4=8
Now, we find the area of triangle.
Area of triangle is 1/2×breath ×height.
=1/2×40 feet×21 feet
=1/2×840 square feet
=420 square feet
420 square feet divided by 400 square feet.
420/400=1.05
So, the barn has 2 triangles back and front so 1.05+1.05=2.1
Now, we find the area of roof
Roof is in rectangle with breath 60 feet and height 21 feet
Area of rectangle is length × breath
=60 feet ×21 feet
=1260 square feet
1260 square feet divided by 400 square feet.
1260/400=3.15
So, the barn has 2 rectangle roof so 3.15+3.15=6.3
Now, Adding all the areas we get
=7.2+8+2.1+6.3
=23.6
Therefore, approximately 23 gallons of pain is need for the one coat of the barn. Option B is correct.
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Answer: 23 gallons
Step-by-step explanation: ANSWER ON EDMENTUM
write 6.04*10-3 as an ordinary number
Answer:
0.00604
Step-by-step explanation:
the exponent - 3 means move the decimal point 3 places to the left
A positive exponent + 3 means move the decimal point 3 places to the right.
6.04 × [tex]10^{-3}[/tex] = 0.00604
What is the five-number summary of this data set? {403, 276, 649, 786, 274, 189, 654, 652, 572} Drag the numbers into the boxes to correctly complete the five-number summary.
Answer:
Minimum: 189
Maximum: 786
Median: 572
Lower quartile: 275
Upper quartile: 653
Step-by-step explanation:
Listing the numbers in order from least to greatest, we have: 189, 274, 276, 403, 572, 649, 652, 654, 786.
From this, we can see that the smallest (minimum) value is 189, and the largest (maximum) value is 786.
We can find the the median by taking off a number from each side of the number set one by one. When done, we can see that the number in the middle is 572, so that is our median.
To find the upper and lower quartiles, split the number set in half where the median lies and find the median of those two sections.
Q1: 189, 274, 276, 403
274 + 276 = 550
550 ÷ 2 = 275
--------------------------
Q3: 649, 652, 654, 786
652 + 654 = 1306
1306 ÷ 2 = 653
So, the lower quartile range is 275, and the upper quartile range is 653.
hope this helps!
I WILL MARK BRAINLIEST
Answer:
21.5
Step-by-step explanation:
19+24=43
43/2=21.5
What is the value of x in the equation 1/3x − 2/3 =− 18?
Answer:
x = -52
Step-by-step explanation:
[tex]\frac{1}{3}x-\frac{2}{3}=-18[/tex]
Let us solve for x.
[tex]\frac{1}{3}x=-18+\frac{2}{3}[/tex]
[tex]\frac{1}{3}x=-\frac{18*3}{1*3} +\frac{2}{3}[/tex]
[tex]\frac{1}{3}x=-\frac{54}{3} +\frac{2}{3}[/tex]
[tex]\frac{1}{3}x=\frac{-54+2}{3}[/tex]
[tex]\frac{1}{3}x=\frac{-52}{3}[/tex]
Use cross multiplication to find the value of x.
[tex]\frac{1x}{3}=\frac{-52}{3}[/tex]
[tex]3*1x=3*-52[/tex]
[tex]3x=-156[/tex]
Divide both sides by 3.
x = - 52
Rollie borrowed some money from his sister. Their brother wanted to know how much Rollie borrowed, but Rollie wouldn’t tell him. Instead, Rollie gave his brother a riddle.
“Each month, I paid our sister one-third of the amount I still owed her plus an additional $3. At the end of 3 months, I still owed her $3.”
Solve the riddle to find out how much money Rollie borrowed from his sister.
Explain how you arrived at your solution.
By working with fractions, we will see that the amount that Rollie borrowed from his sister is $31.50.
How much Rollie borrowed?Let's say that Rollie borrowed a quantity x.
The first month, Rollie returns one third of x + $3, so now he owes:
x - x/3 - 3 = (2/3)*x - 3
the second month returns another third of what he owes plus $3, so now he returns:
(1/3)*((2/3)*x - 3) + 3 = (2/9)*x + 2
So no he owes:
(2/3)*x - 3 - (2/9)*x - 2 = (4/9)*x - 5
Finally, on the third month he returns:
(1/3)*((4/9)*x - 5) + 3 = (4/27)*x - 5/3 + 3 = (4/27)*x + 4/3
Now he owes:
(4/9)*x - 5 - (4/27)*x - 4/3 = (8/27)*x - 19/3
And that is equal to $3, what he owes at the end of the third month, so we need to solve:
(8/27)*x - 19/3 = 3
(8/27)*x = 3 + 19/3 = 28/3
Solving for x, we get:
x = (27/8)*(28/3) = 31.5
So Rollie borrowed $31.5 from his sister.
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Answer:
the letter d does not have symmetry
Step-by-step explanation:
help thanksSSSSSSSSSS
Answer:
[tex]\boxed{\sf{x=24}}[/tex]Step-by-step explanation:
GIVEN:
To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.
[tex]\sf{\dfrac{8}{7}=\dfrac{x}{21} }[/tex]
First, thing you do is switch sides.
[tex]\sf{\dfrac{x}{21}=\dfrac{8}{7} }[/tex]
Multiply by 21 from both sides.
[tex]\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }[/tex]
Solve.
Multiply the numbers from left to right.
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract[tex]\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }[/tex]
[tex]\Longrightarrow: \boxed{\sf{x=24}}[/tex]
Therefore, the final answer is x=24.I hope this helps. Let me know if you have any questions.
Select the reason that best supports statement both 2 and 8 in the given proof.
Find a polynomial f(x) of degree 3 that has the following zeros. 8 ( multiplicity 2) , -4
Polynomial is an expression that consists of indeterminates(variable) and coefficient. The polynomial f(x) is x³-12x²+256=0.
What are polynomial?
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As the zeros of the polynomial are 8(multiplicity 2), -4. Therefore, the factors of the polynomial can be written as,
[tex]x = 8\\x-8=0[/tex]
[tex]x =-4\\x+4=0[/tex]
Now, the polynomial f(x) which is a third-degree polynomial can be written as,
[tex](x-8)(x-8)(x+4)=0\\\\(x-8)^2(x+4)=0\\\\(x^2-16x+64)(x+4)=0\\\\x^3-16x^2+64x+4x^2-64x+256 = 0\\\\x^3-12x^2+256=0[/tex]
Hence, the polynomial f(x) is x³-12x²+256=0.
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Use a system of equations to solve the following problems
1) Find the value of two numbers if their sum is 11.9 and their difference is 0.5.
Answer:
The answer is x= 6.2 and y= 5.7
Step-by-step explanation:
Let the two numbers be x and y.
1st condition:
x+y= 11.9 --- (1)
2nd condition:
x-y=0.5--- (2)
Solving 1 and 2
x+y= 11.9 --- (1)
x-y=0.5--- (2) (here +y and -y will get cancelled)
_____________
2x= 12.4
x= 12.4/2 = 6.2
∴x= 6.2
Now, put x= 6.2 in equation (1) ( u can put in eqn 2 also)
6.2+y= 11.9
y= 11.9-6.2= 5.7
∴y= 5.7
To recheck you can put the value of x and y in any of the eqns.
The LHS will be equal to RHS if the values we got are correct.
Hope it helps.
Where does most regular lightning occur?
A. The stratosphere
B. The troposphere
C. The Mesosophere
For the transformation to be a translation, which statements must be true? Select four options.
Answer:
A, B, C, and E.
Step-by-step explanation:
I don’t know how to explain what I did very well.
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answer:
£1067.22.
Step-by-step explanation:
Interest I= PRT/100 where P = Initial investment, R = % rate, T = time.
So I = 990*2.6* 3 / 100
= £77.22
So total he will have in the bank
= 990+77.22
= £1067.22.
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98. Which of the following statements
is true?
A) The median of the set of scores is 78.
B) The mean of the set is less than the median.
C) The mode of the set of scores is 93
D) The mean of the set is more than the median.
The mean of the set is less than the median. Option B is correct.
Given that,
Norberto received the following scores on his last five spelling tests 93, 66, 78, 85, and 98.
The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Marks scored by Norberto in 5 spelling tests are 93, 66, 78, 85, and 98.
Mean of marks score = total marks scored / total spelling test
Mean of marks score = (93 + 66 + 78 + 85 + 98) / 5
Mean of marks score = 420 / 5 = 84
Now,
In order to get the median,
Arrange the marks in ascending order,
66, 78, 85, 93, 98
n = 5
median = (n + 1) / 2th term
= (5 + 1) / 2th term
= 6 / 2 = 3 th term
Median = 85
Here, 85 > 84 implies the median is more than the mean.
Thus, the mean of the set is less than the median. Option B is correct.
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only question 5 parts a and b PLEASE HELP!!
someone pls help me
Answer:
It should be
likes dislikes
teens 96% 4%
adults 21% 79%
senior 18% 82%
citizens
Step-by-step explanation:
100 people
100%
so 1 person = 1%
i guess