Answer:
1. 2268.
2. 12.
Step-by-step explanation:
1. Given the mathematical expression; 2 * 2 * 9 * 7 * 9
We would simplify the expression;
2 * 2 * 9 * 7 * 9 = 4 * 81 * 7
2 * 2 * 9 * 7 * 9 = 28 * 81
2 * 2 * 9 * 7 * 9 = 2268
2. Given the mathematical expression; 2² + 2 * 2²
From BODMAS (Bracket Of Division Multiplication Addition Substraction), we would first of all multiply before performing an addition operation.
Therefore,
2² + 2 * 2² = 4 + 2 * 4
2² + 2 * 2² = 4 + 8
2² + 2 * 2² = 12
Answer:
1. 2268 2. 12
Step-by-step explanation:
The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x
Answer:
y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
mathematically, we have this as;
x/y = 3/1
x = 3y
or y = x/3
So the correct answer is that y is 1/3 of x
20. In the proportion 10:18=35:63, then which of the
following is NOT true
The product of extremes 630
The product of mean 350
The sum of extremes 73
The sum of the mean is 53
Answer:
Step-by-step explanation:
The product of mean is 350 is not true
Option B is the correct answer
The false statement is the product of mean 350.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
10:18=35:63
So, 10/18 = 35/63
Here 10 & 63 -Extremes
and, 18 & 35= mean
so, product of extreme= 10 x 63= 630
and, product of mean= 18 x 35 = 630
Also, sum of Extremes = 10 + 63 = 73
and, sum of mean = 18 + 35= 53
Hence, the product of mean 350 is not true.
Learn more about proportion here:
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A veterinary assistant weighs a dog and records the weight as 64.7 pounds. The scale is accurate within one tenth of a pound. What is the maximum possible actual weight of the dog?
Answer:
64.8 Pounds. Maximum possible weight
Step-by-step explanation:
Find the volume of a cylinder with a radius of 3 inches and a height of 2
Answer:
56.55m³
Step-by-step explanation:
use a calculator, not brainly
What is the area of the circle? Round to the nearest tenth. Use 3.14 for T.
Answer:
c
Step-by-step explanation: since i helped can i have brainlist please :D
list the integers within the interval
[tex] 8 \leqslant x < 16[/tex]
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim( h to 0 )[tex]\frac{x+h+\frac{1}{x+h }-(x+\frac{1}{x} ) }{h}[/tex]
= lim(h to 0) [tex]\frac{x+h+\frac{1}{x+h}-x-\frac{1}{x} }{h}[/tex]
= (lim(h to 0) [tex]\frac{h+\frac{1}{x+h}-\frac{1}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-(x+h)}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-x-h}{hx(x+h)}[/tex]
= lim(h to 0 ) [tex]\frac{hx(x+h)}{hx(x+h)}[/tex] - [tex]\frac{h}{hx(x+h)}[/tex]
Cancel the numerator/denominator of first fraction and h in the second
= lim ( h to 0 ) 1 - [tex]\frac{1}{x(x+h)}[/tex] ( let h go to zero ), then
f'(x) = 1 - [tex]\frac{1}{x^2}[/tex]
PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32
Answer:
D. 32 feet
Step-by-step explanation:
A tree is 12 feet tall and casts a 9-foot shadow.
The shadow is 3/4 the length of the tree (9/12 = 3/4).
We know the shadow of a nearby building is 24 feet long.
That would be 3/4 of the height of the building.
So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.
24/1 * 4/3
Cross-cancellation
8/1 * 4/1
8 * 4
The building is 32 feet tall, which is D.
plssss helppp ok really needed it
Answer:
[tex]y^{6}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]x^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , then
[tex]\frac{y^4 y^7}{^5}[/tex]
= [tex]\frac{y^{(4+7)} }{y^5}[/tex]
= [tex]\frac{y^{11} }{y^5}[/tex]
= [tex]y^{(11-5)}[/tex]
= [tex]y^{6}[/tex]
What is the factored form of n2 - 25?
?
(n-25)(n-1)
(n - 5)(n + 5)
(n + 5)(n + 5)
LO (n - 25)n + 1)
Answer:
(n-5)(n+5)
Step-by-step explanation:
n^2-25
(n-5)(n+5)
PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2
Answer:
1/16m^2 -2*1/4m*2n+4n^2
If you want to write it in more simple picture :
1/16m^2 -mn +4n^2
Answer:
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Step-by-step explanation:
Given the polynomial
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
Expanding and simplifying
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
as 1/4 = 4/m, so
[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]
Apply perfect square formula: [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]
simplifying
[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]
[tex]=\frac{m^2}{16}-mn+4n^2[/tex]
Therefore,
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Mohan walks 5 kilometre per hour. He walks two hours everyday. How many kilometres does he walk in a week?
Answer:
The answer will be 5×24×7=840
Answer:
how walk 20 kilometer
Step-by-step explanation:
one hour he walk 5 kilometer he walk 2 hours so he walk 10 kilometer every day so he walk 70 kilometer every week
Easy Area problem
Need it fast
Answer:
just subtract the area of the rectangle from the area of the carpet
fine I'll do it
Area of a rectangle= lb
Area of a square= a^2
Area of the remaining area= lb - a^2
= (12*4) - (2*2)
= 48-4
= 44 ft^2
what is the surface area in a square of a cube with a side of 7 inches Long
Answer:
294
Step-by-step explanation:
7*7=49
49*6=294
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
Help, please! In the diagram, FH = 1/3AC and 3FG = AB. What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?
1.
2.
3. BC/GH = 3
4. BC/GH = 1/3
Answer: C
Step-by-step explanation: I know I'm late by about 2 weeks but your answer is C.
Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?
Answer:
298
Step-by-step explanation:
given data
total friend = 4
total profit in the first month = 438
two months each friend profit = 184
solution
we consider here total profit second month is = x
so
profit second month = 184 × 4 - 438
x = 736 - 438
x = 298
so that here profit that car wash making the second month is 298
Pls answer this question
9514 1404 393
Answer:
x = 27°
Step-by-step explanation:
The supplements of each angle are complementary:
(180 -6x) +(180 -4x) = 90 . . . . . . . . assumes x is in degrees
270 = 10x . . . . . . add 10x-90
27 = x . . . . . . . . . divide by 10
Which equation shows the commutative property of addition?
2 = 2 + 0
19 = 8 + 7 + 4
0 + 8 = 8
1 + 5 = 5 + 1
Answer: D 1+5=5+1
Step-by-step explanation: Commutative property of addition Changing the order of addends does not change the sum.
Multiply.
(-3) X 8
Enter the answer in the box.
Answer:
If my math is right
is it -24?
Step-by-step explanation:
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x
f(x) = 2.5x − 10.5
g(x) = 64(0.5x)
2
3
4
5
6
Step-by-step explanation:
f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x
When x = 2,
f(x) = 2.5(2) - 10.5 = -5.5,g(x) = 64 * 0.5^(2) = 16.When x = 3,
f(x) = 2.5(3) - 10.5 = -3,g(x) = 64 * 0.5^(3) = 8.When x = 4,
f(x) = 2.5(4) - 10.5 = -0.5,g(x) = 64 * 0.5^(4) = 4.When x = 5,
f(x) = 2.5(5) - 10.5 = 2,g(x) = 64 * 0.5^(5) = 2.When x = 6,
f(x) = 2.5(6) - 10.5 = 4.5,g(x) = 64 * 0.5^(6) = 1.Therefore we can see that f(x) = g(x) = 2 when x = 5.
Hence the solution is x = 5.
Factor completely:
x^2-x^2-3.5(x+y)
Answer:
− 3.5 ( x + y )
Hope this helps
Step-by-step explanation:
Answer:
− 3.5 ( x + y )
brainest please
Step-by-step explanation:
or answer the question
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a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
CAN SOMEONE PLEASE HELP ME???!!!
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Find the slope.....................
WILL MARK BRAINLIEST!! This goes to a part 2 of my last post. Sketch a new graph of this relationship.
Jordan’s family went to dinner and bought four meals for $8.00 each. They had a coupon for 25% off. What was their total bill after the coupon
Answer:
1558.99
Step-by-step explanation:
3x-6=7x-3
3. 6
please help!!!!!!!
Answer:
B. -9
Step-by-step explanation:
3(-9)-6/3=-11
7(-9)-3/6=-11
Identify the imaginary part of this complex number:
(1)/(2)+(-7)/(2)i
Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
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