Answer:
Step-by-step explanation:
sqrt(80b^2) can be also written as sqrt(16(5)b^2).
The property sqrt(x*y) = sqrt(x) * sqrt(y) allows us to factor out square root of 16. Thus,
sqrt(16) * sqrt(5) * sqrt (b^2)
4*sqrt(5)*sqrt(b^2)
Sqrt(b^2) is the same as b^2/2, so Sqrt(b^2)= b
final answer 4b * sqrt(5)
Answer
THE GUY IS RIGHT DO WHAT HE SAYS!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
What change would you get from £10 if you spent £9.17? Give your
answer in pence
Answer:
£0.83
Step-by-step explanation:
This is a simple subtraction problem.
You have 10 pence. You buy something with 9.17 pence.
10 - 9.17
0.83
Label your answer in pence.
£0.83
Good luck mate :)
the area of a square with a width of 2√5 in simplest form
Answer:
20
Step-by-step explanation:
(2√5)²=
4*5=20
what is 6 to the second power equal?
Answer: 6 to the second power equals 36.
Step-by-step explanation: Any number to the power of two multiples by itself.
So 6 x 6 = 36
Answer:
36
Step-by-step explanation:
6^2= 36
A recipe for sparkling grape juice calls for quarts of sparkling water and quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Convert 50 m/s to miles/hr
onde step equations (add/subtract)
-6 = t -1 =???
Step-by-step explanation:
If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.
-6 = t - 1 (+1)
-6 = t
But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.
(+1) -6 = t
-6 + 1 = -5
-5 = t
Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)
find the perimeter of rhombus star
Answer:
[tex] 4\sqrt{10} [/tex]
Step-by-step explanation:
Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.
The coordinates of its vertices are given as,
S(-1, 2)
T(2, 3)
A(3, 0)
R(0, -1)
Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.
[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
S(-1, 2) => (x1, y1)
T(2, 3) => (x2, y2)
[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]
[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
T(2, 3) => (x1, y1)
A(3, 0) => (x2, y2)
[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]
[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(3, 0) => (x1, y1)
R(0, -1) => (x2, y2)
[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]
[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
R(0, -1) => (x1, y1)
S(-1, 2) => (x2, y2)
[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]
[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] Perimeter = ST + TA + AR + RS [/tex]
[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]
What is the intersection of AC and plane Q?
4t – 3 – (3t +1) = 5t – 4 can i get some help?
0t
Step-by-step explanation:
4t-3-(3t+1)=5t-4
4t-3-3t-1=5t-4
t-3-1=5t-4
t-4=5t-4
t=5t
0=6t
0=t
(Im not 100% sure about this but i think this is the answer)
PLEASE HELP! (this isn’t math but I really need this in the next few mins) An assignment my gaming and animations teacher gave me said to explain (insert game)’s objectives, operation, obstacles, and outcomes. I don’t know what an operation means here. Please help
Answer:
Gaming Functions
Step-by-step explanation:
I think your teacher is implying for you to explain the function and the "works" behind the game. Maybe talk about the game's programming or the way it's overall structured?
The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number.
*Note: you must use these exact conversion factors to get this question right.
Weight / mass
Volume
1 pound (lb) = 16 ounces (oz)
1 cup (cup) = 8 fluid ounces (fl oz)
i ton (ton) = 2000 pounds (lb)
1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)
i quart (at) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (8)
1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (8)
1 cubic foot (ft") = 7.481 gallons (gal)
1 pound (1b) = 0.454 kilograms (kg) 1 liter (L) = 1000 milliliters (mL)
1 cubic meter (m) = 1000 liters (L)
1 gallon (gal) = 3.785 liters (L)
i fluid ounce (fl oz) = 29.574 milliliters (mL)
Answer:
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L
Step-by-step explanation:
The density of the material is 6 pounds per pint of volume
The given conversion factors are;
1 pint (pt) = 2 cups (cups)
1 cup (cup) = 8 fluid ounces (fl oz)
Therefore;
2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz
Also given;
1 fluid ounce = 29.574 mililiters (mL)
16 fl oz = 16 × 29.574 mL = 473.184 mL
1 liter (L) = 1000 mililiters (mL)
∴ 1 mL = 1/1000 L = 0.001 L
473.184 mL = 473.184 × 0.001 L = 0.473184 L
1 pound (lb) = 0.454 kilograms (kg)
6 lb = 6 × 0.454 kg = 2.724 kg
1 kg = 1000 grams (g)
2.724 kg = 2.724 × 1000 grams (g) = 2724 g
Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;
d = 2724 g/(0.473184 L)= 5756.75 g/L
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.
Help needed ASAP will give brainliest to the person that answers this
Ans option 3? it can be converted to a fraction!
Answer:
it depends on the number of decimals
Step-by-step explanation:
10. What are the x and y intercepts of the equation --30 + 5y = 15
Answer:
i think you had written the formula wrongly
so if it was -30x not -30
Step-by-step explanation:
x intercept when y=0
-30x = 15
x= -0.5
y intercept when x=0
5y= 15
y=3
- if this is the one you want
-30 +5y=15
5y =45
y=9
and there not x intercept { }
The smell of the flowers ____ sweet. 1. was 2. are
Answer:
1. was (but I think it should be is)
Step-by-step explanation:
the smell of flowers was/is sweet
-----------------------
The sentence is referring to the smell, and smell is singular, so we should is or was
Hope this helps!! :)
4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A) True B) False
It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.
Micheal has saved 22.40 cents Kevin saved 3/4 of the amount that micheal saved. Jack saved 5 times as much as kevin. What is the total amount of all three
Answer:
$151.20
Step-by-step explanation:
(22.40x0.75)+(22.40x5)+22.40=151.20
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function.
The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.
The exponential function for the salary will be written as:-
[tex]Salary = 65000(1.02)^n[/tex]
where n is the number of years he has worked for the company.
So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².
Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
To know more about an exponential function follow
https://brainly.com/question/2456547
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4x - 4y = 1 Solve the equation for y. 10 points!
Answer:
infinite solutions
y = x - 1/4
Step-by-step explanation:
4x - 4y = 1
4y = 4x - 1
y = x - 1/4
substitute
4x - 4(x - 1/4) = 1
4x - 4x + 1 = 1
0 = 0
infinite solutions
Please I need help please hurry I will mark brainliest
Step-by-step explanation:
Remember: the formula for solving for volumes:
l • w • h
An easy way to do this is to convert all the numbers to decimals.
3 1/2 = 3.5
5 1/4 = 5.25
4 = 4
Now, we can multiply.
3.5 • 5.25 • 4 = 73.5
Convert 0.5 to a fraction: 1/2
Our final answer: D: [tex]73 \frac{1}{2}[/tex]
I’m desperate for help!!
When we reflect every point over the x axis...
S(2, -4) becomes S ' (2, 4)T(9, -4) becomes T ' (9, 4)U(9, -1) becomes U ' (9, 1)V(2, -1) becomes V ' (2, 1)The rule you use is [tex](x,y) \to (x,-y)[/tex]
The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)
if F is the midpoint of DE, DF =3x+5 and FE = 5x-19, Find DF
Answer:
DF=41
Step-by-step explanation:
It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,
DF=FE
3x+5=5x-19
Subtracting both sides by 3x
3x+5-3x=5x-19-3x
5=2x-19
Subtract both sides by 5
5-5=2x-19-5
0=2x-24
2x=24
x=12
So, the value of x is 12.
Put x = 12 in DF=3x+5
DF=3(12)+5
DF= 36+5
DF = 41
So, the value of DF is 41.
To make five cups of lemonade you mix three cups of water with two cups of lemon juice. If there are sixteen cups in a gallon, how many cups of lemon juice are needed to make ten gallons of lemonade
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
A cylindrical waste can has a volume of 5, 667.7cubic inches and its base has a radius of 9.5 inches. Find the height of the waste can. Round to the nearest tenth .
Answer:
height of the waste is 20.0 inches.
Step-by-step explanation:
given data
volume = 5, 667.7cubic inches
radius = 9.5 inches
solution
we use here volume of a cylinder is express as
V = πr²h .................1
put here value
5667.7 = (3.14) × (9.5²) × h
solve it we get
h = 20 inch
so height of the waste is 20.0 inches.
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her stock in Company B was worth $2980. The stock in Company A has decreased 20% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
14.7 %Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer:
14.7%
Step-by-step explanation:
It’s 14.7%
Pls make me brainliest
The area of a square garden is 9 yd*2..
How long is each side of the garden?
Answer:
18 yards i think
Step-by-step explanation:
Can someone help me please I need to turn this in tomorrow
Answer:
1. 24 different 4-digit numbers can be formed.
Step-by-step explanation:
2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%
3. The probability is 3:1, 3/4, or 75%
4. What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12
A 16-cup bottle of fabric softener costs $16.80. What is the price per pint?
===============================================
Work Shown:
1 pint = 2 cups
8 pints = 16 cups (multiply both sides by 8)
We have an 8 pint bottle costing $16.80, so we can say
8 pints = 16.80 dollars
1 pint = 2.10 dollars (divide both sides by 8)
Answer:
$2.10
Step-by-step explanation:
2 cups in 1 pint
16 cups= 8 pints
16 cups = 16.80
16.80 divided by 8 = 2.1
4. 6t -5+5t = 105 (t = 4; t = 7;t = 10)
Answer:
t = 10.
Step-by-step explanation:
We can combine like terms, getting 11t - 5 = 105.
Add both sides by 5, getting 11t = 105 + 5 = 110.
We can then divide both sides by 11, getting t = 10.
Area of square = 135 mm²
Perimeter of square=
Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
P≈46.48
A= Area
135
Step-by-step explanation:
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator
= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Answer: see proof below
Step-by-step explanation:
* Use the following Co-function Identity: sin A = cos(90 - A)
* Use the following Sum to Product Identities:
cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]
cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]
* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]
[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]
LHS = RHS: tan 35 = tan 35 [tex]\checkmark[/tex]