Answer:
5
Step-by-step explanation:
8x^2y^3 24
degree of monomial is power of x + power of x
2 + 3= 5
Answer:
5
Step-by-step explanation:
What is that 24 doing there?
If the monomial is
[tex] 8x^2y^3 [/tex]
then the degree is 5.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
Please help me solve my problem!!!
given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]
1) Mrs Tan is 43 years old and her daughter is 17 years old. How many years ago was Mrs Tan 3 times as old as her daughter?
2)Amy is 9 years old younger then her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister?
Answer:
No 1
Here,
Let X be age of daughter
and 3X be age of father
Now,x+17+3 = 20 age
and 3x+43-20 = 7point9x
Step-by-step explanation:
So,
20÷7point9 = 2point8 years ago
Hence,
age of father = 48÷2point8 = 21point5 years
age of daughter = 20÷2point8 = 10 years
so, before 2point8 years ago father was as old as his daughter
The midpoint of two points is (5,4). If one of the points is (3,5), find the other point.
chung minh phan so sau toi gian : 21n+4/14n+3
Step-by-step explanation:
Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i
fine the value for the following
11 -12÷4+3 (6-2)
and
0÷21
Answer:
1. 20
2. 0
Step-by-step explanation:
1. 20
11 -12÷4+3 (6-2)
Brackets first
11-12÷4+3 x 4
Then division and multiplication
11-3+12
Subtraction next
8+12
Now addition
8+12=20
2. Anything divided by 0 is 0
I have no clue Someone Please Help!!!!!
Answer:
D
Step-by-step explanation:
we have to see the value of y on x=-2
which is 2
so g(-2)=2
pls tell the answer by step by step
The point lies in 2nd quadrant.
Answer:
second quadrant
Step-by-step explanation:
here , -2 is x component and y component is 5
since x component is negative and y component is positive it lies on the second quadrant.
Note: if both x and y component are positive then the point lies on first quadrant.
id x component is negative and y component is positive then the point lies on second quadrant.
if x both x and y component are negative then the point lies on third quadrant.
if x component is positive and y component then the point lies on fourth quadrant.
Rachel loaned Adam $8510 at an interest rate of 13 % for 2 years. How much will Adam pay Rachel at the end of 2 years? Round your answer to the nearest cent, if necessary.
Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
Answer:
A. (3,0)
D. (0,-1)
E. (2, 1)
Step-by-step explanation:
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
у< x #############################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
y< 5 ####################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
X<4 ###################
A. (3,0)
D. (0,-1)
E. (2, 1)
7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term
Answer:
(a) The common difference is 4
(b) The 25th term is 108
Step-by-step explanation:
Given
[tex]T_7 = 36[/tex]
[tex]T_{14} = 64[/tex]
Solving (a): The common difference
The nth term of an AP is:
[tex]T_n = a + (n -1)d[/tex]
For the 7th term, we have:
[tex]36 = a + (7 -1)d[/tex]
[tex]36 = a + 6d[/tex]
For the 14th term, we have:
[tex]64 =a + (14 -1)d[/tex]
[tex]64 =a + 13d[/tex]
Subtract both equations
[tex]64 - 36 = a - a +13d-6d[/tex]
[tex]28 = 7d[/tex]
Divide by 7
[tex]d = 4[/tex]
Solving (b): The 25th term
First, we calculate the first term (a)
The 7th term of the progression is:
[tex]36 = a + 6d[/tex]
Substitute [tex]d = 4[/tex]
[tex]36 = a + 6 * 4[/tex]
[tex]36 = a + 24[/tex]
Subtract 24
[tex]a = 36 -24[/tex]
[tex]a = 12[/tex]
The 25th term is:
[tex]T_{25} = a + (25 - 1)d[/tex]
[tex]T_{25} = 12 + (25 - 1)*4[/tex]
[tex]T_{25} = 12 + 24*4[/tex]
[tex]T_{25} = 108[/tex]
HELP PLZZ
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 13
B. 7
C. 1.9
D. 9.5
Answer:
Step-by-step explanation:9.5
Identify the 3 terms by name: 5x2 - 7x + 2
Answer:
5x2-7x-1
Step-by-step explanation:
STEP1:Equation at the end of step 1
((5x2 - 7x) - 3) + 2
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 5x2-7x-1
The first term is, 5x2 its coefficient is 5 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 5 • -1 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -7 .
-5 + 1 = -4 -1 + 5 = 4
Laura bought the apples, bananas, and strawberries shown below to use in a fruit salad. What percent of the fruit is apple?
Answer:
4/12
Step-by-step explanation:
i am not good at this but i will try☺
Answer:
30%
Step-by-step explanation:
To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.
Apple: 4
Total fruit: 12
So,
4/12 = 0.3
The percentage of apples:
30%
Sarah accepted a new job at a company with a contract guaranteeing annual raises. Sarah's salary after working for nn years can be determined using the equation S=90000+3500n.S=90000+3500n. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Slope = 3500
Sarah's salary will increase by 3500 per year
Step-by-step explanation:
Given that Sarah's salary after working n years is given as :
S=90000+3500n
The equation given is similar to a linear equation :
y = bx + c ;
Where, b = slope of the linear equation
Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.
Slope is simply described as the rate of change, the change in y per unit change in x ;
Therefore, this means Sarah's salary will increase by 3500 per year
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
The Eastminster Widget Company has an old machine that can produce 36
widgets in 9 hours, and a newer machine that can produce 40 widgets in 8
hours. Working together, how long would it take to produce 100 widgets?
Answer:
22 hours
Step-by-step explanation:
Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{36}{9}[/tex]
= 4 widgets
New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{40}{5}[/tex]
= 5 widgets
Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;
4x + 5y = 100
(4 * 10) + (5 * 12) = 100
Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.
Working together, it would take both machines 22 hours.
A fishing trawler sails from port P in the direction 024o for 30 km, and then in the direction 114o for 20 km. Calculate: a) the distance and bearing of the trawler from P b) the direction in which the trawler must sail in order to return to P
Please use diagrams to explain.
Answer:
write these time in words 3:45
find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm
Answer:
644 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)
✔️Surface area of the large rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 5 cm
H = 20 cm
Surface area = 2(6*5 + 6*20 + 5*20)
= 500 cm²
✔️Surface area of the small rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 4 cm
H = 12 cm
Surface area = 2(6*4 + 6*12 + 4*12)
= 288 cm²
✔️area of the surface of the small rectangular prism that joins the larger prism = L*W
L = 12 cm
W = 6 cm
Area = 12*6
= 72 cm²
✅Surface area of the composite figure = 500 + 288 - 2(72)
= 644 cm²
the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:
[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]
if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1
Step-by-step explanation:
the answer is in the above image
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]
(a) -3 [tex]\boxed{ > }[/tex] -4
(b) 6 [tex]\boxed{ >}[/tex] -20
(c) -8 [tex]\boxed{ < }[/tex] -2
(d) 5 [tex]\boxed{ > }[/tex] -7
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x=-7/4
Answer:
x = 3/4
Step-by-step explanation:
5/2-3x-5+4x=-7/4
Combine like terms
-10/2 + 5/2 +x = -7/4
-5/2+ x = -7/4
Add 5/2 to each side
-5/2+5/2 +x = -7/4 + 5/2
x = -7/4+5/2
Get a common denominator
x = -7/4 + 10/4
x = 3/4
Can someone pls help me!
Answer: y =2x-5
Work:
2x-y=5
-y=-2x+5
-1y/-1 = -2x+5/-1
y =2x-5
The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?
Answer:
Let length = x
Let width = x + 5
Let Area = A
A = x(x + 5)
A = x2 + 5x
what is the gradient of line Y =-3×+5
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
The answer;
C. y>= 2
The choose ( C)
A right triangle has a height of 22 centimeters and a base of 11 centimeters What is the area of the triangle ?
SOMEONE HELP ASAP !!!
Answer:
121 cm^2
Step-by-step explanation:
area of triangle = base*height/2
=11*22/2
=242/2
=121 cm^2
2 263 *?-90 oy + 2000 y2-5504z -30253 sutry-454)37200
Answer:
hello
Step-by-step explanation:
I did not known your answer
Use the law of sines to find the measure of angle C.
Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.
The measure of the angle C of the given triangle is 43.61°
What is the law of cosines?According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write
AB² = BC² + CA² - 2(BC)(CA)cos C.
How to solve this problem?Here, AB = 16, BC = 22, and AC = 21.
Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C
i.e. 256 = 484 + 441 - 924 * cos C
i.e. 256 - 925 = - 924 * cos C
i.e. - 669 = - 924 * cos C
i.e. cos C = 669/924 = 0.724
i.e. C = cos⁻¹(0.724) = 43.61
Therefore the measure of the angle C of the given triangle is 43.61°
Learn more about law of cosines here -
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