Write the explicit formula for the sequence.
2, 4, 6, 8, 10, ...
Answer:
a(n) = 2 + 2(n - 1)
Step-by-step explanation:
Since each new term is derived from the previous term by adding 2, this is an arithmetic sequence, and the "common difference" is 2.
Then a(n) = 2 + 2(n - 1)
Help me it’s urgent
Answer:
∠GHJ and ∠IHJ
Answer:
[-10, 10]
This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10 and [10] = 10
Step-by-step explanation:
What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm
Answer:
The answer is 3cm
Step-by-step explanation:
The length of a diagonal of a cube with a side length of 1 cm is,
⇒ √3 cm
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A side length of cube is,
⇒ 1 cm
We know that;
The length of a diagonal of a cube with a side length of a cm is,
⇒ d = √3 × a
Here, a = 1
Hence, The length of a diagonal of a cube with a side length of 1 cm is,
⇒ d = √3 × 1
⇒ d = √3 cm
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He randomly selects a sample of 200 Darwin households. Forty households prefer the new package to all other package designs. The point estimate for this population proportion is
Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
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Pretty please for a homie
Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex
[tex]h = -8(t-0.5)^{2}+2[/tex] h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
3(4x+5)=33 What’s the value of x
Answer:
the answer would be 20
Answer:
x=3/2 or 1.5
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
3(4x+5)=33
First, divide both sides by 3, since 3 is being multiplied by 4x+5
3(4x+5)/3=33/3
4x+5=11
Next, subtract 5 from both sides, since it is being added to 4x
4x+5-5=11-5
4x=6
Divide both sides by 4, since 4 is being multiplied by x
4x/4=6/4
x=6/4
x=3/2 or 1.5
can you please help me out
Answer:
fwefwfwfewfwefwefwfew
Step-by-step fweexplanation:
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Determine the measure of the named angle below.
mZK
K
40°
Step-by-step explanation:
Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u
need help fast!!!!
The graph shows the relationship between the weight of a
box and the number of books added to the box.
What function represents the weight of a box based on x,
the number of books?
Box of Books
10
9
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
O
Weight of box (lbs)
ch
4
w
1
9 10 x
2 3 4 5 6 7 8
Number of books
Answer:
C or option three, f(x) = 1.5x + 0.5
Step-by-step explanation:
HAVE A GREAT DAY AND STAY SAFE!
The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
What is the Equation of straight line?The general equation of a straight line is y = mx + c
What is Slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate
Here,
Consider two points in the lines
(3,5) and (5,8)
Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-5}{5-3}[/tex]
=1.5
From the graph y intercept is 0.5
Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
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Sarah and Gabriela are at a soccer camp. The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice. How many soccer practices can the coaches have?
Answer:
12 soccer practices
Step-by-step explanation:
1 Soccer practice = 2 / 3 hour
We have 8 hours
8 / 2/3
multiply the top and bottom by 3 to get rid of the 3
8 * 3 = 24
2/3 * 3 = 2
24 / 2 = 12
Answer:
One way to answer your problem is by using proportions, and the following method can be done:
Step-by-step explanation:
[tex]\frac{1}{\frac{2}{3}}=\frac{x}{8}[/tex]
Then that reduces to the following:
[tex]\frac{8}{\frac{2}{3}}=x=12[/tex]
So the answer would be 12 practices.
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answer:
0.8
Step-by-step explanation:
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
Could some one plz help me with this question
P.S ignore the answer choices their wrong
25 Points
Answer:
A
Step-by-step explanation:
The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:
[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]
[tex]1800(1.0125)^{24}\approx 2425.23[/tex]
Now, she invests this into a new account, and you can set up the following equation:
[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]
[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.
Hope this helps!
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?
Step-by-step explanation:
An=A1. R raised to the power n-1
Please I need help with this one
Answer:
$0.60
Step-by-step explanation:
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
help plssssssssssssssssss
Answer:
80
Step-by-step explanation:
BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE
BRAINLEST PLEASEThe measure of a straight angle (2x+50) (6x+2)
Answer:
see below
Step-by-step explanation:
If the two angles form a straight angle, their sum is 180
2x+50 + 6x+2 = 180
Combine like terms
8x +52 = 180
Subtract 52 from each side
8x+52-52 = 180-52
8x =128
divide each side by 8
8x/8 = 128/8
x =16
2x+50 = 2(16)+50 = 32+50 = 82
6x+2 = 6(16)+2 =96+2 = 98
The question on the bottom
Answer:
9th grade student=33.3%, unit 7=45%
Step-by-step explanation:
A population of rabbits doubles every 60 days according to the formula P=10(2)^t/60, where P is the population of rabbis on day t. What is the value of t when the population is 320
Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
The position of each boat can be modeled by a first order equation.
I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So
[tex]A(t) = 0 + 3t[/tex]
They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So
[tex]B(t) = 30 - 6t[/tex]
How soon will the boats meet?
This is t when:
[tex]A(t) = B(t)[/tex]
[tex]3t = 30 - 6t[/tex]
[tex]9t = 30[/tex]
[tex]t = \frac{30}{9}[/tex]
[tex]t = 3.33[/tex]
The boats will meet in 3.33 hours.
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
100 PTS:Please help me now plz plz
Answer:
x = 12
Step-by-step explanation:
We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right
We can find the base using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 +8^2 = 10^2
a^2 +64 = 100
Subtract 64 from each side
a^2 = 100 -64
a^2 = 36
Take the square root of each side
a = 6
Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal
x = 2 * a
x = 2*6 = 12
Answer:
x = 12
Step-by-step explanation:
Consider the right angle triangle with
base: x/2
height: 8
hypotenuse: 10
Using pythagoras theorem
10² = 8² + (x/2)²
(x/2)² = 100 - 64
(x/2)² = 36
x/2 = 6
x = 12
Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25