Answer: $4.40
Step-by-step explanation:
Trust me did the assignment
Answer:
$26.40.
Step-by-step explanation:
Find 20% of 22.
20% x 22 = 22/5 = 4 2/5 = 4.40.
So the tip costs 4.40, so let's add that to 22 to find the total cost. 4.40+22=26.40, so the entire meal costs: $26.40.
3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
A cone has a radius of 3 units and a height of 4 units.
1. What is this volume of this cone?
2. Another cone has quadruple the radius, and the same height. How many times larger is the new cone’s volume?
Answer:
1. V = 37.7
2. V =603.19
Step-by-step explanation:
1. V = (3.14)×3^2 4/3
V =37.7
2. V=(3.14)×(3×4)^2 4/3
V = (3.14)×12^2 4/3
V = 603.19
Nicole is choosing an outfit from the following. Pants: denim, black Shirts: green, yellow Shoes: sandals, tennis shoes She starts a tree diagram: A tree diagram. D branches to G and Y. B branches to G and Y. How many possible combinations are there? There are possible combinations.
Answer:
8 possible outcomes
Step-by-step explanation:
Answer:
8 is correct!!
Step-by-step explanation:
= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?
Answer:
20 m
Step-by-step explanation:
4(3+2) = 20
Which of the following are identities? Check all that apply.
A. cos(x+y)+cos(x-y)=cos^2x-sin^2y
B. sin(x-pi)=-sinx
C. sin(x+y)-sin(x-y)=2cosx siny
D. cos(x+y)+cos(x-y)=2cosx cosy
Answer: B, C, D
Step-by-step explanation:
/\.p.€.x
Since, tigonometric identities are equal on both the sides (left hand side and right hand side) of the equation, Options (B), (C), and (D) represent the dientities.
Identification of the tigonometric identites: Trigonometric identities are the equalities having two trigonometric expressions equal for all values of the variables on both the sides.To prove the expression as identity prove both the sides of the equation are equal.
Option A
cos(x + y) + cos(x - y) = cos²2x - sin²2y
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx. siny + cosx.cosy + sinx.siny
= 2(cosx.cosy)
But the left side of the equation is (cos²2x - sin²2y).
Hence both the sides are not equal and it's not an identity.
OPtion (B).
sin(x - π) = -sinx
Left hand side = sin(x - π)
= -sinx sin(x - π)
= sinx.cosπ - cosx.sinπ
= -sinx - 0
= -sinx [Right hand side]
Since, both the sides are equal, it's an identity.
Option (C).
sin(x + y) - sin(x - y) = 2cosx.siny
Left hand side = sin(x + y) - sin(x - y)
= sinx.cosy + cosx.siny - sinx.cosy + cosx.siny
= 2cosx.siny
= Right hand side
Since, both the sides are equal, it's an identity.
Option (D).
cos(x + y) + cos(x - y) = 2cosx.cosy
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny = 2cosx.cosy
= Right hand side
Since, both the sides of the equation are are equal. It's an identity.
Therefore, Option (B), (C), (D) are the correct options.
Learn more about the trigonometric identities here,
https://brainly.com/question/12526684?referrer=searchResults
The intersection of three lines at one point and the measures of three angles are shown in this figure.
Answer:
D. 2x+71=180
Step-by-step explanation:
Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:
76+(x-5)+x=180
2x+71=180
X < -4.8
Chose 2 Answers:
(A)2
(B)0.9
(C)-2.3
(D)-5
(E)-6.1
Please Help.
Answer:
D & E
Step-by-step explanation:
In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?
Answer:
750
Step-by-step explanation:
150/2=7.5
7.5*100=750
750*0.2=150
): If (6x-3)(6x+3)=ax^2-b, what is the value of a? What is the value of b?
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
Answer:
The area is 13
Step-by-step explanation:
By using the third picture you sent I figured out the area of both the triangle (area: 3) and the square (area: 4) and subtracted that from the area of the whole figure (20) to get the area of the shape.
Jill collected honey from 9 different beehives, and recorded the amount collected, in gallons, from each hive in the line plot shown:
She wants to write the value of each point marked on the number line above (Points A-D) in gallons. What is the value of A using fractions?
My brother needs help I don't remember this devilish stuff
Answer:
A= 6/8 gallons
x^2 - 2x factorise fully
Answer:
(x-2)*x
Step-by-step explanation:
[tex]x^{2}-2x[/tex]
its maximum common divisor is x
[tex]\frac{x^{2}-2x }{x}[/tex]
[tex](x-2)*x[/tex]
50 points Type the correct answer I’m the box
Find the value of 17
33 rounded to the nearest ten-thousandth.
Answer:
0.5152
Step-by-step explanation:
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
4 1/2 flowers
Step-by-step explanation:
2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.
Help pls
What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value
Ik it’s not c!
Help please!!!
The finance charge on your credit card was supposed to be $12.22. Instead you were charged $19.54.
Find the absolute error and the relative error in the finance charge
Answer:The absolute error is that they said that the finance charge will be $12.22 but the charge ends up being $19.54 . As for the relative error is that they said that the charge will be $12.22 but the charge was $19.54 which means they were unsure what the charge was and failed to check what it actually was.
Step-by-step explanation:
How many types of congruence criterion are in total.Name them
Answer:
Various types of Congruency are:
1. ASA (Angle Side Angle)
2. SSS (Side Side Side)
3. SAS (Side-Angle-Side)
4. AAS (Angle-Angle-Side)
5. RHS (Right angle-Hypotenuse-Side)
As of what I had learned (class 9) this is all but I am not sure if there are more
Simplify (3^z)^6 in exponent notation
Answer:
3^6z
Step-by-step explanation:
you multiply 6 and z since they are exponets and one is in a (
Answer:
3 to the power of 6z of 3^6z
Step-by-step explanation:
find the value of 2xy+3yz-xyz, when x=2, y=-2, z=4
Step-by-step explanation:
[tex]x = 2[/tex]
[tex]y = - 2[/tex]
[tex]z = 4[/tex]
[tex] \: [/tex]
[tex] = 2xy + 3yz - xyz[/tex]
[tex] = y.(2x + 3z - xz)[/tex]
[tex] = y.(2x + z.(3 - x))[/tex]
[tex] = - 2.(2.2 + 4.(3 - 2))[/tex]
[tex] = - 2.(4 + 4.1)[/tex]
[tex] = - 2.(4 + 4)[/tex]
[tex] = - 2.8[/tex]
[tex] = - 16[/tex]
estimate 5/8 - 1/10 explain
Answer:
21/40.
Step-by-step explanation:
Find the LCD (Least Common Denominator) of the fractions. The LCD of 5/8 and 1/10 is 40.
Convert both fractions into denominators of 40.
So then we have: 25/40 - 4/40 which is equal to: 21/40.
21/40 is the estimated value of the expression 5/8 -1/10
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 5/8 -1/10
The terms in the expression are in the form of fractions, A fraction represents a part of a whole.
To find the value of expression firstly find the LCM of 8 and 10
40 is the LCM
5(5)-1(4)/40
25-4/40
The value of 25 minus 4 is twenty one.
21/40 is the value of the expression 5/8 -1/10
Hence, 21/40 is the estimated value of the expression 5/8 -1/10
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
which lists the multiple of 8 A. 8,16,24, 46 B.8,16,24,48 C.8,15,32,50 D.8,16,40,63
B. 8, 16, 24, 48
pls mark brainliest if helped c:
On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?
Answer:
10 children
Step-by-step explanation:
Convertion
2 km lh to m/s
Answer:
[tex]\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}[/tex]
Step-by-step explanation:
[tex]1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}[/tex]
Which table or graph shows the value of y going down as the value of x goes up?
Answer:
c.
Step-by-step explanation:
Please help. Thank you I am out of points because people are stealing them.
What is this image - +
Answer:
there is no image
Step-by-step explanation:
Pls help
Identify each angle pair as adjacent, vertical, or neither. Identify Structure Refer to the diagram at the right. Identify each angle pair as adjacent, vertical, or neither.
Answer:
angle 5 and angle 6 are adjacent angles, all adjacent means is directly next to each other, another example would be 6 and 1; 1 and 2; 2 and 3, etc
and example of vertical angles would be 6 and 3, they basically form an x, another example is 5 and 2, 1 and 4, etc
an examples of angles that would qualify as neither would be 1 and 3, they are not next to one another, thus they are not adjacent, and they do not form an x so they are not vertical, another example would be 5 and 3
y = 5x – 2
2x + 9y = 10
Answer:
y= ax+mb
Step-by-step explanation:
(111)-8,5
3.
Write the following integers in ascending order (smallest to biggest).
Do you
(i) -5,2,1,-8
(ii) -4,-3, -5,2
(iii) -10,-15,-7
Answer:
(I) -8, -5, 1, 2
(ii) -5, -4, -3, 2
(iii) -15, -10, -7
Step-by-step explanation:
You can think about what a number line looks like to solve problems like this, for example a number line that goes from -10 to 10 would look something like this, with smaller numbers on the left and bigger on the right
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
