Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
Can someone help me PLZ WITH THES TWO ABOVE.
Answer:
a. 100
b. 156
Step-by-step explanation:
a.
(n - 2)180 = (6 - 2)180 = 4(180) = 720
? + 166 + 108 + 121 + 135 + 90 = 720
? = 100
b.
(n - 2)180 = (8 - 2)180 = 6(180) = 1080
? + 128 + 99 + 161 + 113 + 142 + 146 + 135 = 1080
? = 156
Select all the points that are on the graph of the line:
2x + 4y=20
Answer:
B=10
Step-by-step explanation:
worked it out on a graph on the internet
Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 2.
X
y = 3x + 4
(x, y)
0
Answer:
3x+4=3*2+4
3*2+4=6+4
6+4=10
10=10
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
What is the value of |5|+|-2|
Please look at picture
Answer:
This question is so bad but it is most likely 25% or 0. this has no context in the question
Step-by-step explanation:
lena has painted 3/4 of a room she has used 1 1/2 gallons of paint how much paint will she need for the whole room?
This is the second part of that question. What's the answer to this
Answer:
x = -22
Step-by-step explanation:
The given expression is :
-0.57x+0.27x = 6.6
We need to find the value of x.
x(-0.57+0.27) = 6.6
x(-0.3) = 6.6
[tex]x=\dfrac{6.6}{-0.3}\\\\x=-22[/tex]
So, the value of x is -22.
Mary spent a total of $353.86 for a party. She spent $200.51 on food, plus an additional $30.67 for each hour of the party. How long was the party?
Gary can afford a monthly payment of $450 he wants to take out a $20,000 loan at 6.75% interest rate what should the length of the loan be?
Answer:
51 months
explanation
Factor: 4y(3x+2)−2(3x+2)
Step-by-step explanation:
4y(3x+2)–2(3x+2)
(4y–2)(3x+2)
2(2y–1)(3x+2)
The Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex] is [tex](2y-1) (6x+4)[/tex] .
What is Factor ?Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.
We have,
[tex]4y(3x+2)-2(3x+2)[/tex]
So, first simplify the expression,
[tex]12xy+8y -6x-4[/tex]
⇒ [tex]12xy-6x+8y-4[/tex]
⇒ [tex]6x(2y-1)+4(2y-1)[/tex]
From we can see that [tex](2y-1)[/tex] is common in both terms,
Therefore,
⇒ [tex](2y-1) (6x+4)[/tex]
So, [tex](2y-1) (6x+4)[/tex] is the factor of the given expression.
Hence, we can say that the Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex] is [tex](2y-1) (6x+4)[/tex] .
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Please determine x.
Answer:
6
Step-by-step explanation:
Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______
Answer:
b.c
Step-by-step explanation:
You are making a 2 ingredient trail mix with almonds and raisins. There is a 5:7 ratio of almonds to raisins. How many ounces of almonds would be in a 3-pound bag of this trail mix? (There are 16 ounces in 1 pound.) *
Answer:
There would be 20 ounces of almonds in the bag
Step-by-step explanation:
System of Equations
To solve the problem, we'll set up these two variables:
x = ounces of almonds
y = ounces of raisins
The ratio of almonds to raisins in the trail mix is 5:7, thus:
[tex]\displaystyle \frac{x}{y}=\frac{5}{7}[/tex]
Cross-multiplying:
7x=5y [1]
A 3-pound bag of this trail mix contains 3*16=48 ounces that include almonds and raisins, thus:
x + y = 48 [2]
Multiplying [2] by 5:
5x + 5y = 240
Substituting from [1]:
5x + 7x = 240
12x = 240
x = 240/12
x = 20
There would be 20 ounces of almonds in the bag
Task Radioactive isotopes decay by emitting radiation. A scientist just received a sample of two different radioactive isotopes, tellurium-131 and neptunium-240. This equation can be used to determine 70), the number of grams of tellurium-131 that will remain in the sample after minutes. T() = 1000. 25 A. How many grams of tellurium-131 were in the sample the moment the scientist received it? Provide evidence to support your answer. B. How many grams of tellurium-131 will remain in the sample after one hour? Provide evidence to support your answer.
Answer:
Following are the solution to this question:
Step-by-step explanation:
[tex]\to tellurium-131\\\\ \to T(t) =1000 \times e^{\frac{\log(2)}{25}t}[/tex]
where t = in miles
In part A:
When scientists got t=0, therefore the tellurium quantity.
[tex]\to T(t) = 1000 \times e^{0}[/tex]
[tex]= 1000 \times 1 \\\\= 1000 \ grams[/tex]
In part B:
When 1 hours = 60 min
[tex]T(t) = 1000 \times e^{\frac{\log 2}{25} \times 60} \\\\[/tex]
[tex]= 1000 \times e^{\frac{\log 2}{5} \times 12}\\\\= 1000 \times e^{0.72247199}\\\\\= 1000 \times 2.05951803\\\\=2059.51803\\\\=2059.51 \ grams[/tex]
Task Radioactive isotopes decay by emitting radiation is that :
A) The tellurium-131 were in the sample the moment the scientist received are 1000 grams.
B)The grams of tellurium-131 will remain in the sample after one hour is 2059.51.
Given :
Tellurium-131T(t)=100*[tex]e^{log2/25} t[/tex]where t = in milesPart A:
When scientists got t=0,
t=1000*[tex]e^{o}[/tex]
t=1000*1
t=1000 grams
The tellurium-131 were in the sample the moment the scientist received are 1000 grams.
Part B:
The grams of tellurium-131 will remain in the sample after one hour is :
T(t)=1000*[tex]e^{log2/25} t[/tex]T(t)=1000*[tex]e^{0.7224}[/tex]T(t)=1000*2.059T(t)= 2059.51The grams of tellurium-131 will remain in the sample after one hour is 2059.51.
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pls answer asap no trolls!
Find the sum of -1.5 +3.5 + 2
Answer:
4, see below :)
Step-by-step explanation:
We can rewrite the equation into:
3.5 + 2 - 1.5
First we add 3.5 and 2
3 and 2 are in the ones place so:
5, and then you added the .5
5.5
Then:
5.5 - 1.5
First we subtract the tenths place so:
.5 - .5 = 0
Then the ones:
5 - 1 = 4
Answer:
4 all i did was, i used a calculator
How do I solve -7x+9=51
Isabella and Angel are reading the same book. At the beginning of the month, Isabella was on page 35 and Angel was on page 5. Isabella will read 10 pages per day and Angel will read 20 pages per day. Let I represent the page of the book that Isabella is on at the end of t days into the month, and let A represent the page of the book that Angel is on at the end of t days into the month. Graph each function and determine after how many days, t, Isabella and Angel will be on the same page of the book.
Answer:
3 days
Step-by-step explanation: (See Annex)
According to the problem statement, both readings (Isabela and Angel) are models for a straight line:
10 and 20 are the slopes of I and A respectively
I = 35 + 10*t
A = 5 + 20*t
The common point of the two lines will be the day when they both will be on the same page ( see annex)
then:
35 + 10*t = 5 +20*t
35 - 5 = 20*t - 10*t
10*t = 30
t = 3
need the answer please thank you!
Answer:c
Step-by-step explanation:
C
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.
Answer:
13.48
Step-by-step explanation:
What is the surface area of the right cone below?
Answer:
B. 68pi
Step-by-step explanation:
to find the surface area of a right cone given radius and slant height:
let A = surface area
let r = radius
let l = slant height.
A=pi*r*l + pi* r^2
plug in the values
A=pi*52+pi*16= about 213.62
The surface area of the cone is 68π sq. units.
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.
Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,
We need to find the surface area of the cone,
SA = π×r×l + π×r²
SA = π(4×13+16)
SA = 68π
Hence, the surface area of the cone is 68π sq. units.
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The equation for line passing through (6, 3) and (4, 1) could be written in slope-intercept form as 
Answer:
[tex]\boxed {\boxed {\sf E. \ y=x-3}}[/tex]
Step-by-step explanation:
To find the equation of the line, we must first find the slope, then use the point-slope formula.
1. Find the Slope
The slope formula is the change in y over the change in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given in the problem are (6,3) and (4,1). Therefore:
[tex]x_1=6 \\y_1=3 \\x_2=4 \\y_2=1[/tex]
Substitute the values into the formula.
[tex]m=\frac{1-3}{4-6}[/tex]
Solve the numerator.
1-3= -2[tex]m=\frac{-2}{4-6}[/tex]
Solve the denominator.
4-6=-2[tex]m=\frac{-2}{-2}[/tex]
Divide.
[tex]m=1[/tex]
2. Find the Equation of the Line
We have the slope and a point, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).
[tex]y-1=1(x-4)[/tex]
Distribute the 1.
[tex]y-1=(1*x)+(1*-4)\\y-1=x-4[/tex]
We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.
1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.
[tex]y-1+1=x-4+1\\y=x-4+1\\y=x-3[/tex]
In slope-intercept form, the equation of the line is y=x-3
solve for y please refer to image
Answer:
y = 80
Step-by-step explanation:
the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80
HELO ASAP ILL GIVE BRAINLIST
Answer:
Option C is correct
Step-by-step explanation:
Plz help answer my question my lattes question plz
Answer:
C
Step-by-step explanation:
draw a circle.Show at least 4 different lines of symmetry
Solve f(x) for the given domain
F(x) = x2 + 2
F(x + h) =
Answer:
Solution in photo
Step-by-step explanation:
Please help me please I will give brainliest!
Answer:
3) Because the run go by 4 and the rise go up by 2
Step-by-step explanation:
Jan 04, 12:41:42 AM
The measures of the angles of a triangle are shown in the figure below. Solve for x
75°
63°
Answer:
x = 20
Step-by-step explanation:
The sum of angle of a triangle is 180. Taking the sum of the angles and equating to 180 will give:
75 + 63 + 4x+2 = 180
138+2+4x = 180
140+2x = 180
2x = 180=140
2x = 40
x = 20
Hence the value of x is 20
Brainliest to CORRECT answer!
Which of the following is not an example of kinetic energy?
Group of answer choices
chemical energy
sound energy
radiant energy
electrical energy
Answer:
A
Step-by-step explanation: