Answer:
[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]
Step-by-step explanation:
[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]
PLISSSSSS HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.3
Step-by-step explanation:
The Rest Of Them Are Writen As Fractions
Answer:
[tex]\sqrt{10}[/tex]
NOTE: the other answer is WRONG...
irrational means can not be written as a fraction (with whole numbers)
4/3 = 1.33333333333
Step-by-step explanation:
plz help by telling the answer. I will rate u 5 star and give u branist and also like plus I will follow u plz help me
Answer:
The simple answer is we round the square root of the number of data points. For example: 25 data points = 5 bars. 100 data points = 10 bars
find missing side of triangle, help!
Answer:
2√10 km
Step-by-step explanation:
By Pythagoras theorem,
x^2 + 9^2 = 11^2
x^2 + 81 = 121
x^2 = 121 - 81
x^2 = 40
= 4 x 10
x^2 = 2^2 x 10
x = 2√10 km
Use a half angle identity to find the exact value of tan 5pi/12
a. 2+squared3/2
b. 2-squared3/2
C.2+squared 3
D.2-squared3. Please select the best answer from the choices provided
Observe that
5/12 = 1/4 + 1/6
so that
tan(5π/12) = tan(π/4 + π/6)
Then
tan(5π/12) = sin(π/4 + π/6) / cos(π/4 + π/6)
… = (sin(π/4) cos(π/6) + cos(π/4) sin(π/6)) / (cos(π/4) cos(π/6) - sin(π/4) sin(π/6))
… = (cos(π/6) + sin(π/6)) / (cos(π/6) - sin(π/6))
(since sin(π/4) = cos(π/4) = 1/√2)
… = (√3/2 + 1/2) / (√3/2 - 1/2)
… = (√3 + 1) / (√3 - 1)
… = (√3 + 1) / (√3 - 1) × (√3 + 1) / (√3 + 1)
… = (√3 + 1)² / ((√3)² - 1²)
… = ((√3)² + 2√3 + 1²) / (3 - 1)
… = (3 + 2√3 + 1) / 2
… = (4 + 2√3) / 2
… = 2 + √3 … … … (C)
If you insist on using the half-angle identity, recall that
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
==> tan²(x) = (1 - cos(2x)) / (1 + cos(2x))
Let x = 5π/12. The angle x lies in the first quadrant, so we know tan(x) is positive.
==> tan(x) = +√[(1 - cos(2x)) / (1 + cos(2x))]
We also know
cos(2x) = cos(5π/6) = -√3/2
which means
tan(x) = tan(5π/12) = √[(1 - (-√3/2)) / (1 + (-√3/2))]
… = √[(1 + √3/2) / (1 - √3/2)]
… = √[(2 + √3) / (2 - √3)]
… = √[(2 + √3) / (2 - √3) × (2 + √3) / (2 + √3)]
… = √[(2 + √3)² / (2² - (√3)²)]
… = √[(2 + √3)² / (4 - 3)]
… = √[(2 + √3)²]
… = 2 + √3
help please!! first answer gets marked brainliest!
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
Thank you very much you can help me with the others that I am uploading to my profile and there is more in case you can please
Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Because it's time, it don't have to be just integers. Seconds are fractions of minutes.(0,20) is the y-intercept and there will be no smaller y-values because x(time) cannot go negative.He goes at a rate of a problem per 2 minutes, so 2 is his slope.Answer:
The second one is the answer.
Step-by-step explanation:
Objective: Linear Equation Problems.
Let model the equation given to us.
Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as
[tex]y = 2x + 20[/tex]
X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.
Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.
The second one is the answer
What is –70 divided by 700
PLZ HELP ME!!!
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
You bought 4 boxes of facial tissue for $3.79. which is the better buy than the one you made?
A bag of raisins contains 20 oz. If you want to give 25 people equal servings how many ounces should you
give each person? (It says leave your answer as a mixed number) I don’t understand how to do that.
what s the equation of the line through the origin and (-2, 3)
Answer:
y=[tex]\frac{-3x}{2}[/tex]
Step-by-step explanation:
Hi there!
We need to find the equation of the line that passes through the origin (the point (0,0)) and (-2,3)
There are 3 ways to write the equation of the line, although the most common way is slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
So we need to find the slope of the line first
The formula for the slope (m) calculated from two points [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points
We have the needed information to calculate the slope, but let's label the values of the points to avoid any confusion
[tex]x_{1}[/tex]=0
[tex]y_{1}[/tex]=0
[tex]x_{2}[/tex]=-2
[tex]y_{2}[/tex]=3
Now substitute their values into the equation and find m
m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m=[tex]\frac{3-0}{-2-0}[/tex]
subtract
m=[tex]\frac{3}{-2}[/tex]
so the slope of the line is [tex]\frac{3}{-2}[/tex]. It can also be rewritten as [tex]\frac{-3}{2}[/tex]
Here is the equation of the line so far:
y=[tex]\frac{-3x}{2}[/tex]+b
we need to find b
As the equation passes through both (0,0) and (-2,3), we can use either one of them to solve for b
Let's take (0,0) for this case
Substitute 0 as x and 0 as y
0=-[tex]\frac{3}{2}[/tex](0)+b
multiply
0=0+b
add 0 to both sides
0=b
So b is 0
The equation of the line therefore is y=[tex]\frac{-3x}{2}[/tex]
Hope this helps!
Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
Answer:
0.75
Step-by-step explanation:
Given the table :
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
The rate of change :
Rate of change = Rise / Run
Rise = y2 - y1 ; Run = x2 - x1
From the table :
Take number of sodas as X - axis
Total cost as Y - axis
Taking the points :
(24, 18) ;(36, 27)
x1 = 24 ; x2 = 36
y1 = 18 ; y2 = 27
Rise = (y2 - y1) = (27 - 18) = 9
Run = (x2 - x1) = (36 - 24) = 12
Rate of change = 9 / 12 = 0.75
I NEED HELP ASAP HEELP
Answer:
S > 2kg
Step-by-step explanation:
A saline solution has a weight of 1.12 kg per liter. What is the weight of the saline solution of 0.75 l?
Answer:
0.84 kg
Step-by-step explanation:
Given that :
Weight per liter = 1.12kg per liter
That is 1 Litre weighs 1.12 kilogram
The weight of saline solution of 0.75 Litre will be :
1 Litre = 1.12 kg
0.75 Litre = x
Cross multiply :
1 * x = 1.12 * 0.75
x = 0.84 kg
Hence, 0.75 Litre weighs 0.84 kg
A pair of earbuds cost 43$. They are on sale for 20% off. What is the discount and the final price of the earbuds
Answer:
the discount of the earbuds is $8.60
the final price is $34.40
Step-by-step explanation:
1. find 20% of 43:
43 x 0.2 = 8.60
2. subtract that from $43:
$43 - 8.60 = $34.40
the discount of the earbuds is $8.60
the final price is $34.40
[tex]solve \: \\ \\ find \: the \: area \: of \: rectangle \: \\ \\ length = 11cm \\ \\ width = 9cm[/tex]
Area = l ×b
[tex]a = l \times b \\ a = 11 \times 9 \\ a = 99[/tex]
What number line model represents the expression 5 1/2 + (-3)
Answer:
(A)
Step-by-step explanation:
The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.
Hope it helps (●'◡'●)
Work out the area of this circle.
Give your answer in terms ofand state its units.
units:
Submit ANSWEI
6 mm
Plss help due in very soon
Answer:
36π mm²
Step-by-step explanation:
Formula: πr²
r=radius
r=6
π6²=36π
1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}
Answer:
AUBUC= { a,b,c,d,e,f,g,h,i,o,u}
What is the value of x?
Hello,
The sum of the angles of a triangle is equal to 180°.
So :
x = 180 - 40 - 55 = 85°
Have a nice day :)
environment is not ___ uniform all form
environment is not natural uniform all from
graphical representation of the function x = f( y) shows that the zeroes will come on
Answers
The zeros of a function represent the x-intercept(s) when the function is graphed. The zeros of a function represent the root(s) of a function.
how many meters are there in 50 foots
Answer:
15.24m
Step-by-step explanation:
1-foot=0,304m then 50-foot=0,304*50=15,2 m
Two exponential functions are shown in the table.
х
f(x)=2*
g(x)=
1
2
2
4
1
4
Which conclusion about f(x) and g(x) can be drawn from
the table?
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
O The function f(x) has a greater initial value than g(x).
1
2
OT
1
2
1
2
1
1
2
1
4
-2.
4
The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.
The functions are given as:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = (\frac 12)^x[/tex]
Reflect function over the y-axis.
The rule of this transformation is:
[tex](x,y)\to (-x,y)[/tex]
So, we have:
[tex]f(x) = 2^x[/tex]
[tex]f'(x) = 2^{-x}[/tex]
Apply power rule of indices
[tex]f'(x) = (\frac{1}{2})^x[/tex]
By comparison:
[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]
Hence, the functions f(x) and g(x) are reflections over the y-axis.
Read more about function transformation at:
https://brainly.com/question/1548871
Find the number of degrees in the measure of angle x
Answer: x = 82°
Step-by-step explanation:
The angle on the other side of 108° can be calculated as 180° - 108° = 72°
All angles within a triangle add up to 180°, so the x-value can be found as:
x = 180° - 72° - 26° = 82°
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate how many years it will take for the value of the account to reach $600?
Fill in the values of A, b, and c to write the equation modeling this situation.
Answer:
So, you have $400savings, 3%intrest rate, you'll need to have $400 and a 10%intrest rate.
I hope this helps
Step-by-step explanation:
need an answe asap!
Answer:
1. x = 54, y = 114,
missing angles => 66° and 114°
2. x = 42, y = 14,
Missing angles => 84°, 86°
3. x = 40, y = 50
Missing angles => 105°, 75°
Step-by-step explanation:
1. y° = 114° (corresponding angles are congruent)
(x + 12)° + y° = 180° (linear pair angles)
Substitute
x + 12 + 114 = 180
x + 126 = 180
Subtract 126 from each side
x = 180 - 126
x = 54
✔️Find the missing angles by plugging in the values of x and y in each case
(x + 12)° = 54 + 12 = 66°
y = 114°
2. ✔️Find x:
(2x)° + 96° = 180° (consecutive interior angles are supplementary)
Subtract 96 from each side
2x = 180 - 96
2x = 84
x = 84/2
x = 42
✔️Find y:
(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)
3y + 44 + 94 = 180
3y + 138 = 180
3y = 180 - 138
3y = 42
y = 42/3
y = 14
✔️Missing angles:
(2x)°
Plug in the value of x
= 2(42) = 84°
(3y + 44)°
Plug in the value of y
3(14) + 44 = 86°
3.
✔️Find x:
3x - 15 = 105 (corresponding angles are congruent)
3x = 105 + 15
3x = 120
x = 120/3
x = 40
✔️Find y:
(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)
Plug in the value of x to solve for y
3(40) - 15 + y + 25 = 180
120 - 15 + y + 25 = 180
Add like terms
130 + y = 180
y = 180 - 130
y = 50
✔️Missing angles:
(3x - 15)°
Plug in the value of x
3(40) - 15 = 105°
(y + 25)°
Plug in the value of y
50 + 25 = 75°
Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?
Answer:
4 pounds
Step-by-step explanation:
take 20% off the original price. 20(0.20)= 4
So that's a discount of 4 pounds and the sale price is 16 pounds.
The savings is 4 pounds on 1 shirt.
help me brainliest and i willllll
Answer:
1/9
Step-by-step explanation:
You would multiply 1/3 by 1/3 since both of the spins are out of three for the probability of rolling on the same color two times.
PLS HELP (algebra 1)
solve 4( -15x - 2) + 8
Answer:
-60x
Step-by-step explanation:
PLEASE HELP! asap:)
i would really appreciate it
Answer:
[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]