Answer:
Use the formula for direct variation, and this will help answer the last part of the question.
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant.
Similarities in arithmetic sequence direct variations.An arithmetic sequence is a linear function. Instead of y=mx+b, we write an=dn+c where d is the common difference and c is a constant (not the first term of the sequence, however).
A recursive definition, since each term is found by adding the common difference to the previous term is ak+1=ak+d.
For any term in the sequence, we've added the difference one less time than the number of the term. For example, for the first term, we haven't added the difference at all (0 times). For the second term, we've added the difference once. For the third term, we've added the difference two times.
The formula for the general term of an arithmetic sequence is: an = a1 + (n-1) d.
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Hey can someone be nice enough to help me
Answer:true
Step-by-step explanation:
Answer:
Its true.
Step-by-step explanation:
You add them
Find the quotient. 4811.2 ÷ 9.7
Answer:
496
Step-by-step explanation:
4811.2 / 9.7
= 496
Best of Luck!
Answer:
sorry this took a moment
I need help with this question. I think the answer is top right.
HELP HELP need this asap
Answer:
(8x7y3)*(2/3*y)^2=32/9x7y5
Step-by-step explanation:
Mount Everest is 29029 feet high.How many meters high is it. Show work
Answer:
8848 meters high 29029ft = 8848meters
Which of the following expressions is equivalent to (x + 5) ^2
The angle shown below is
Answer:
Obtuse
Step-by-step explanation:
You can see visually that it's wider than a right angle, and that's it's more than 90°
The angle is more than 90 degrees, as a result, it is stated as the obtuse angle. Option D is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
We have to state the name type of the angle.
Any angle larger than 90° is considered obtuse. A straight angle is one with a measurement of 180°: Angles equal to 0° are referred to as zero angles. Complementary angles are those whose total of the measurements is exactly 90°: Angles that have supplementary angles are those whose total of the measurements is 180°.
It is observed that the angle is more than 90 degrees.
Thus, the angle is more than 90 degrees, as a result, it is stated as the obtuse angle. Option D is correct.
Learn more about the angle here:
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what is a good math skill number?
It depends on which grade you are in
I'm pretty sure 5.20 means you are in the second level of 5th grade...
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!40 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve for the value of y. (write your answer in the text space as just a number) *
Answer:
15
Step-by-step explanation:
Which number represents the sum of -8 and -i?
Answer:
C (-8-i)
Step-by-step explanation:
The sum of the -8 and -i will be option C. (-8-i).
What is sum?
In mathematics, the sum can be defined as the result or answer we get on adding two or more numbers or term.
So here we need to calculate the sum of -8 and -i. For this, we will do a sum operation.
[tex]Sum = (-8)+(-i)[/tex]
As we know that minus and plus together become minus so
[tex]Sum= -8-i[/tex]
Hence the sum of the -8 and -i will be option C. (-8-i).
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You have $200 in a savings account and $100 in a checking
account. Each week, you add $50 to your savings account and $30 to your
checking account. how much money do you have in both accounts after 5 weeks
Answer:
S= 450 C=250 both=$700
Step-by-step explanation:
S=200+50w
C=100+30w
w=5
Let's assume that bacteria triples every 15 minutes. If a culture begins with exactly 20 bacterial cells, how many bacterial cells will be present after 1 hour?
Answer: 1,620
Step-by-step explanation: 20x3x3x3x3=1,620
Answer:
There will be 300 cells after one hour.
Step-by-step explanation:
20*3 = 60
60 cells per 15 minutes.
15 = 60
30 = 180
45 = 240
60 = 300
Express the following in scientific notation: 10,030,400,000
a. 1.00304 x 109
b. 1.00304 x 1010
c. 1.00403 x 1010
d. 1.00304 x10-10
Answer:
1.00304 x 10^10
plz mark brainliest if helpful
7) Bilangan bilangan kelipatan 40 adalah ... *
80, 120, 160, ...
80, 120, 180, ...
80, 100, 160,
O 80, 120, 140,
Answer:
80, 120, 160, ...
Step-by-step explanation:
Karena semua bilangannya bisa dibagi 40.
what is the distributive property for 49 x 2
Answer:
98.
Step-by-step explanation:
give me brainliest
16.76 divided by 0.2
Answer:
83.8
Step-by-step explanation:
Please someone help and explain them to me. im confused
is there a way i can draw on it to help explain it?
Find the value of x.
Answer:
Step-by-step explanation:
1. The total should be 90 degree so your equation should look like this:
(x + 17)° + 15 = 90
2. Now simplify: (x+17)° = 90 - 15
3. Simplify: x + 17 = 75
4. Simplify: x = 75 - 17
5. Simmplify and celebrate: x = 58
Pls brainliest!
Multiply (-3) by (+1.4).
Answer:
-3*+1.4=-4.2
Step-by-step explanation:
it may help you to understand
the value of a?????????
Answer:
46.5
Step-by-step explanation:
divide
help any tutor help
Enter the exponential decay function using t (for time) as the independent variable to
model the situation. Select the graph of the function. Enter the function's domain and
range. Then complete the explanation of what the y-intercept represents in the context of
the problem. If necessary, round to the nearest penny.
The value of a couch is decreasing at a rate of 6.3% per year. In 2007, the couch was worth
$1,232. Find the value of the couch in 2014.
Answer:
The decay function is [tex]y(t)=a(1-r)^{t}[/tex]
The graph is attached down
The domain is {t: t ≥ 0}
The range is {y: y > 0}
The y-intercept represents the initial value of the couch
The value of the couch in 2014 is $781.25 to the nearest penny
Step-by-step explanation:
The form of the decreasing exponential function is [tex]y=a(1-r)^{x}[/tex], where
a is the y-intercept ⇒ initial amountr is the rate of in decimaly is the dependent amountx is the independent amount∵ The value of a couch is decreasing at a rate of 6.3% per year
∴ [tex]y(t)=a(1-r)^{t}[/tex]
∴ y represents the amount of money
∴ t represents the number of years
∴ r = 6.3% = 6.3/100 = 0.063
∵ In 2007, the couch was worth $1,232
∴ The initial value is $1,232
∴ a = 1,232
∵ We need to find the value of the couch in 2014
∴ t = 2014 - 2007 = 7 years
→ Substitute the values of a, r, and t in the function above
∵ The decay function is [tex]y(t)=1,232(1-0.063)^{t}[/tex]
∵ [tex]y(7)=1,232(1-0.063)^{7}[/tex]
∴ [tex]y(7)=1,232(0.937)^{7}[/tex]
∴ y(7) = 781.2460671
→ Round it to the nearest penny (2 d.p)
∴ y(7) = 781.25
∴ The value of the couch in 2014 is $781.25 to the nearest penny
∵ The y-intercept is the value of y at t = 0
∴ The y-intercept represents the initial value of the couch
→ The graph is attached down
→ The domain is {t: t ≥ 0}
→ The range is {y: y > 0}
Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 4 lb/gal, determine a differential equation for the amount of salt A(t) in the tank at time
t > 0.
(Use A for
A(t).)
I got 6-(2A/t+500) Im not sure if the 6 is right the rate part since on another one the concentration entering was 2 lb/gal not 4 lb/gal
Answer:
The differential equation for the amount of salt A(t) in the tank at a time t > 0 is [tex]\frac{dA}{dt}=12 - \frac{2A(t)}{500+t}[/tex].
Step-by-step explanation:
We are given that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.
The concentration of the solution entering is 4 lb/gal.
Firstly, as we know that the rate of change in the amount of salt with respect to time is given by;
[tex]\frac{dA}{dt}= \text{R}_i_n - \text{R}_o_u_t[/tex]
where, [tex]\text{R}_i_n[/tex] = concentration of salt in the inflow [tex]\times[/tex] input rate of brine solution
and [tex]\text{R}_o_u_t[/tex] = concentration of salt in the outflow [tex]\times[/tex] outflow rate of brine solution
So, [tex]\text{R}_i_n[/tex] = 4 lb/gal [tex]\times[/tex] 3 gal/min = 12 lb/gal
Now, the rate of accumulation = Rate of input of solution - Rate of output of solution
= 3 gal/min - 2 gal/min
= 1 gal/min.
It is stated that a large mixing tank initially holds 500 gallons of water, so after t minutes it will hold (500 + t) gallons in the tank.
So, [tex]\text{R}_o_u_t[/tex] = concentration of salt in the outflow [tex]\times[/tex] outflow rate of brine solution
= [tex]\frac{A(t)}{500+t} \text{ lb/gal } \times 2 \text{ gal/min}[/tex] = [tex]\frac{2A(t)}{500+t} \text{ lb/min }[/tex]
Now, the differential equation for the amount of salt A(t) in the tank at a time t > 0 is given by;
= [tex]\frac{dA}{dt}=12\text{ lb/min } - \frac{2A(t)}{500+t} \text{ lb/min }[/tex]
or [tex]\frac{dA}{dt}=12 - \frac{2A(t)}{500+t}[/tex].
Estimate the area under the graph of f(x)=x^(2)+3x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
Answer:
Rn ≈ 0.6345
Ln ≈ 0.7595
Step-by-step explanation:
The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.
It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:
x = -1, -.25, 0.50, 1.25, 2
Of course, the spreadsheet can easily compute the sum of products for you.
__
The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:
Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)
Rn ≈ 0.6345
__
The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:
Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)
Ln ≈ 0.7595
_____
It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).
Step-by-step explanation:
Rn ≈ 0.6345
Ln ≈ 0.7595
Step-by-step explanation:
The interval from -1 to 2 has a width of (2 -(-1)) = 3. Dividing that into 4 equal intervals means each of those smaller intervals has width 3/4.
It can be useful to use a spreadsheet or graphing calculator to evaluate the function at all of the points that define these intervals:
x = -1, -.25, 0.50, 1.25, 2
Of course, the spreadsheet can easily compute the sum of products for you.
__
The approximation using right end-points will be the sum of products of the interval width (3/4) and the function value at the right end-points:
Rn = (3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25) +(3/4)f(2)
Rn ≈ 0.6345
__
The approximation using left end-points will be the sum of products of the interval width (3/4) and the function value at the left end-points:
Ln = (3/4)f(-1) +(3/4)f(-0.25) +(3/4)f(0.50) +(3/4)f(1.25)
Ln ≈ 0.7595
_____
It is usually convenient to factor out the interval width, so only one multiplication needs to be done: (interval width)(sum of function values).
Please help with finding the measure, pic attached
Answer:
B. 50°
Step-by-step explanation:
∠PLM+ ∠PML =60+70 =130°
So, ∠MPL = 180°-130°=50°
According to the opposite angle theorem,
∠ KPN = ∠MPL which is 50°
Find the linear equations written in standard form. Select all that apply. A. x+y=-1 B. -3x = y C. x + 4y = 0 D. y = 5x - 2 E. x=3 -0.17 F. 8x - 3y = 20
Plz Hurry
Also Thank You
All of these equations are in the form Ax+By = C
An equation like x+y = -1 has A = 1, B = 1, C = -1An equation like x+4y = 0 has A = 1, B = 4, C = 0An equation like 8x-3y = 20 has A = 8, B = -3, C = 20Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y = m x + b represents Dave’s weekly earnings. The y-intercept is Dave’s base salary. The slope of the line is his commission.
Write an equation representing Dave’s weekly earnings.
Answer:
y = 0.1x+200
Step-by-step explanation:
First, let's establish that:
x is independent
y is dependent
Basically, the value of y will depend on what x is.
The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)
The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200
now, the equation is:
y=0.1x+200
Hope this helps!
L
Why are quadratic equations set equal to zero?
Because zero is
an easy number
to work with
Because setting it
equal to zero
helps us find the
y-intercepts.
Because we are
trying to find the
x-intercepts and
that happens
when y=0.
None of the
above
Answer: Because we are trying to find the x-intercepts and the y-intercepts That would be (C)
Step-by-step explanation:
Self explanatory question, you set a quadratic equation to zero
For example: x 2 – 6 x = 16 equals to x 2 – 6 x – 16 = 0
Then, you would factor, that equals to (x – 8)( x + 2) = 0
(X-8)=0 (X+2)=0
X+2=0
-2 =-2
X=-2
X-8=0
+8 =+8
X=-8
To check you would simply plug in the values into the quadratic equation. They would both equal 16=16
:) Multiple choices are difficult but the best answers are C or D GO WITH YOUR GUT!
The sum of two numbers is 10. The difference between the two numbers is 4. What is the smaller number? OA – 1 OB. 3 OC. 7 OD. 9 OE. 11
Answer:
3
Step-by-step explanation:
if you do the math 5+5 is 10 and 3.5 is half of 5 so the answer if you round is 3
Jim drove 455 miles in 7 hours.
At the same rate, how many miles would he drive in 5 hours?
