Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major.
Answer:
[tex]P(Female\ or\ Physics) = 0.38[/tex]
Step-by-step explanation:
Given
[tex]n = 50[/tex] --- total
[tex]Physics =10[/tex]
[tex]Female= 12[/tex]
[tex]Both = 3[/tex]
Required
[tex]P(Female\ or\ Physics)[/tex]
This is calculated as:
[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]
So, we have:
[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]
[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]
[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]
[tex]P(Female\ or\ Physics) = 0.38[/tex]
Cary earned $56 for 7 hours of babysitting.
How much would Cary earn for 55 hours of babysitting?
Answer:
440.
Step-by-step explanation:
56/7=8
8x55=440.
Answer:
440
Step-by-step explanation:
56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.
Need help ASAP! Giving Brainliest!
ok thats cool ig what do you need help with
Answer:
A
Step-by-step explanation:
Have a nice day :)
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
solving quadratic equation using the completing the square method. (a).x²+20x-12=0
Answer:
[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]
[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Emily is going to invest in an ascount paying an interest rate of 4.4% compounded
daily. How much would Emily need to invest, to the nearest hundred dollars, for the
value of the account to reach $31.000 in 8 years?
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
A pie tin has an area of 81 pi square inches. Which choice below is closest to its
circumference?
Answer:
can i have the choices
Step-by-step explanation:
The total cost
of an $82 meal
with a 20% tip
Answer:
$16.40
Step-by-step explanation:
Answer:
98.40
Step-by-step explanation:
First find the tip
82* 20%
82* .20
16.40
Add the tip to the cost of the mean
82+16.40
98.40
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
I really need help or I’m gonna fail the semester
find the value of a and the value of b :
4x2 - 4x - 15 is a factor of 4x3 + ax2 + bx + 30.
Step-by-step explanation:
the answer is in the above image
pls give me BRAINLIEST
The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and
driving it x miles. This equation is in the form y = mx + b.
Identity the slope and write a sentence to describe the meaning of the slope.
Answer:
0.20 dollars/mile
Step-by-step explanation:
The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.
But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.
Find NP from the Rectangle
Answer:
9.16
Step-by-step explanation:
by using pythagorean theorem,
given that PQ=4 and NQ = 2×5 = 10
NP²= NQ²-PQ²
= 10²-4²
= 100-16
= 84
NP = √84 = 9.16
What is Associative property mean?
Find the surface area of each solid figure
Answer:
Step-by-step explanation:
I HAVE ONE WEEK OF SCHOOL CAN SOMEONE HELP?!
9514 1404 393
Answer:
1. 5 seconds
2. 4.5 seconds
Step-by-step explanation:
Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.
__
1) y = -15x(x -5)
x = 5 makes the second factor zero
The golf ball is in the air 5 seconds.
__
2) y = -12x(x -4.5)
x = 4.5 makes the second factor zero
The football is in the air for 4.5 seconds.
_____
Additional comment
The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...
ax+b = 0 ⇒ ax = -b ⇒ x = -b/a
That is, once you have the factored form, you can write the solutions "by inspection."
Siobhan needs to fill her cylindrical shaped fish tank. The base of the fish tank has a diameter of 10 in, and the height of the fish tank is 8 in. Which statement describes how Siobhan can find out how much water she needs to fill the fish tank
Answer:
C = 5^2 * Pi * 8
Step-by-step explanation:
Formula = [tex]r^{2}[/tex]*Pi*h
r = d / 2
d=10, so r=5
h = 8
I would appreciate if someone could answer this:)
Answer:
17
Step-by-step explanation:
4a - 4 = 2a + 30
2a = 34
a = 17
You are painting your house this summer. If the spot you are trying to reach is 15 feet up the side of the house and you can extend a ladder 6 feet from the base of the house, how long must the ladder be?
Answer:
16.2 ft
Step-by-step explanation:
use pythagorean theorem
a² + b² = c²
6² + 15² = c²
36 + 225 = c²
261 = c²
Take ther square root of both sides
16.155494421403512 = c
Rounded
16.2 ft
out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta
Answer:
a) 0.7
b) 0.3
c) 0
d) 1
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
(a) Coke
Out of 10, 7. So
[tex]p = \frac{7}{10} = 0.7[/tex]
(b) fanta
3 out of 10. So
[tex]p = \frac{3}{10} = 0.3[/tex]
(c) neither Coke nor fanta
7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:
[tex]p = \frac{0}{10} = 0[/tex]
(d) either Coke or fanta
All 10. Thus:
[tex]p = \frac{10}{10} = 1[/tex]
A circular piece of thin wire is converted into a square of a side 6.25 if there is no loss or gain in its length find the radius of the circular wire
Answer:
12.5
Step-by-step explanation:
Perimeter of square is equal to the length of wire.
length of wire is 6.25×4radius of wire is 6.25×2that is 12.5Please help!!!! Shsjsjahshsh
Answer:
The answer is b
Step-by-step explanation:
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
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