Answer:
1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]
2) [tex]251502[/tex]
Step-by-step explanation:
a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]
Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
So,
[tex](7a + 4b)(7a - 4b)[/tex]
[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]
[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]
b) Question :- [tex]501 \times 502[/tex]
Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]
So,
[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]
[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]
[tex] = > 250000 + 1500 + 2[/tex]
[tex] = > 251502[/tex]
Find the value of each variable.
x = and y =
Answer:
x = 16
y = 16√3
Step-by-step explanation:
sin(30 degrees) = 1/2
x = 32/2 = 16
cos(30 degrees) = √3/2
y = 16√3
Answer:
x = 16
y = 27.7
Step-by-step explanation:
solving for x: use sine
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 30 = [tex]\frac{x}{32}[/tex]
sine of 30 is 0.50
⇒ 0.50 = [tex]\frac{x}{32}[/tex]
multiply 32 on both sides:
⇒ 0.50 x 32 = [tex]\frac{x}{32}[/tex] x 32
solve:
⇒ 16 = x
solving for y: use cosine
cosine = [tex]\frac{adajcent}{hypotenuse}[/tex]
⇒ cosine 30 = [tex]\frac{y}{32}[/tex]
cosine of 30 is 0.866
⇒ 0.866 = [tex]\frac{y}{32}[/tex]
multiply 32 on both sides
⇒ 0.866 x 32 = [tex]\frac{y}{32}[/tex] x 32
solve:
⇒ 27.7 = y
A high school marching band has 55 male members. It is determined that five-eighths of the band members are Male. Write the equation that represents the total number of members in the band (use the letter n to represent the number)?
Answer:
5/8 * n = 55
Step-by-step explanation:
What would be the coefficient of y in this expression:
2y^2/6 + 5/7 + y/4.
I’m thinking it is 1 or 4 but cannot come to a conclusion, and there is nothing on the internet for this
Thank you.
Answer:
is it written like this?
if so then the coefficient of y is 1
Answer:
¼
Step-by-step explanation:
A coefficient is the number that comes before a variable, including its sign (plus/minus). Thus, the coefficient of y is the number that comes before the variable y.
[tex] \frac{y}{4} [/tex] can also be written as [tex] \frac{1}{4} y[/tex]. Since the sign before ¼ is a plus sign, the coefficient of y can simply be written as ¼.
I need help with this asappp
Answer: D
4x^4 + 3x^3 + 2x^2 - 11x -5
Step-by-step explanantion:
Flip and make the 4x-5 in the front and then multiply all terms by 4x and then all terms by -5 and then add both answers together.
Stress is the body's automatic physical reaction to real or imagined forces.
True or False
Answer:
Its True
Step-by-step explanation:
The signs of stress include feeling of emotional or physical tension, headache, dry mouth, heartburn, constipation, depression, and insomnia. However, stress isn't necessarily a bad thing.
Answer:
True
Step-by-step explanation:
It is
Help please!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Evie is wrapping a gift. The give is 12 inches long, 4 inches wide, and 6 inches tall. How much wrapping paper will Evie need?
Answer:
çevirisi mi lazım sa yazabilirimAnswer:
eEEEeEEEEEEEEEEEeeeEeeeeeeeeErrRrrreeReeReRERer
Step-by-step explanation:
Find the solution to the equation.
x - 62 = 84
Answer:
x = 146
Step-by-step explanation:
x - 62 = 84
+ 62 = + 62 <-- inverse operation on both sides
x = 146
Answer:
x= 146
Step-by-step explanation:
x-62=84
x=84+62
x=146
add 62 to 84 to isolate x while getting the answer
Find the value of the variable. No scams please.
What is the expression in repeated multiplication form of (-8)^3 • (-8)^4
Answer:
(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)
Step-by-step explanation:
What is the solution to this inequality?
-4x > 500
A
x > 125
B
x < 125
C
x > -125
D
x < -125
Answer:
I would say ther ansewrr for this is going to most likely be c
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I did it already
Helpppppp please look at the picture i added
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]
→ [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]
[tex]= 663[/tex]
Thus the approach above is right.
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please help me! this is hard
Answer: 1430 girls
Step-by-step explanation:
In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls
Let's sum up what we learned
1. 12,481 people are at a concert
2. 8906 adults are at this concert
3. 3,575 are children
4. 2145 are boys
5. Which means there are 1430 girls
X is 4 less than a number y. What expression represents the value of x?
Answer:
y - 4 = x
Step-by-step explanation:
4 less than y is y minus four, so therefore y - 4 = x
What is the probability of a face with less than 5 spots turning up when you toss a die?
answer correctly and please explain
Answer:
2/3
Step-by-step explanation:
Probability =
= No. of faces having less than 5 spots / Total no. of faces
= 4/6
=2/3
The probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.
What is probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of a face with less than 5 spots turning up when a die is tossed has to be find out.
Here, in this die, it is known that,
The number of total outcome is 6 {1,2,3,4,5,6}The number of favorable outcome to be a face with less than 5 spots is 4 {1,2,3,4}.Thus, the probability of this event is,
[tex]P=\dfrac{4}{6}\\P=\dfrac{2}{3}\\P=0.667[/tex]
Thus, the probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.
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Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!
The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
What is volume?Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.
How to calculate volume?We have been given two cones. First is having radius of 7 mi and
height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.
Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]
=(49*3.14*14)/3
=708.86
Approximately 709 [tex]mi^{3}[/tex]
Volume of second cone =1/3π[tex]5^{2} *10[/tex]
=(25*3.14*10)/3
=261.67
Approximately 262 [tex]cm^{3}[/tex].
Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
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Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.
Month Vertical Jump in inches
0 16
2 17
4 18
6 19
Answer:
f(x)=1/2x+16
Step-by-step explanation:
what is the circumference of a circle with a radius of 16mm
Answer:
100.48
Step-by-step explanation:
π = 3.14
C = circumference
To find the circumference for a circle you must do 2 times pie times the radius.
(2·π·16)
In this case the radius is 16.
2·π = 6.28
6.28 · 16 = 100.48
I need help on this math question
Answer:
A is correct. :)
Step-by-step explanation:
Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False
Answer:
True.
Step-by-step explanation:
It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.
It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.
For example,
Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32
Let's find image using scale factor 0.4, we get
length =0.4(12)= 4.8
width =0.4(4)=1.6
So, perimeter of image = 4.8+4.8+1.6+1.6=12.8
If we compare the perimeters
0.4(32)=12.8.
So, it is true.
what is the perimeter of this tile pls help..
ill mark brainlist plsshelp
will give brainliest! number 4 it’s the pythagorean theorem
somebody please help im giving 20 points and a brainliest !
Answer:
Price today= 3078
Price 10 years from today= 3877.88
Step-by-step explanation:
Price today= 3000 (1.026)= 3078
Price 10 years from today= 3000 (1.026)^10= 3877.88
What does an exponent do?
Answer:
An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power
Example:
[tex]5^{2}[/tex] = 25
not 5x2
5x5
the numeber times the number itself by how many times the exponet says.
***i hope i was clear! ^^
Answer:
An exponent refers to the number of times a number is multiplied by itself. For example 2 to the 3rd.It means 2*2*2=8.
2 to the third is not the same as 2*3=6
if you want to know what I mean by 2 to the 3rd please take at the picture above
Is this correct? If not please tell me what it is! Thank you <33
Answer:
yes it is correct. good job!
if bob had 5 apples and gave Samatha 2 apples how much does he have
Answer:
3
Step-by-step explanation:
5-2=3
Answer:
According to my calculations...3
Step-by-step explanation:
7 of 10
© Brian invests £990 into his bank account. He receives 2% per year simple interest. How much
will Brian have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1071.61
Step-by-step explanation:
That's how much
Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.
what is the slope?
Answer:
26 min
Step-by-step explanation:
The slope of the data will be equal to 2 for the book reading.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run of the line.
Given that Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.
The slope of the data will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 29 - 3) / ( 37 - 24)
Slope = 2
Therefore, the slope of the data will be equal to 2 for the book reading.
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