Answer:
The 7th term of given sequence is: 448
Step-by-step explanation:
Given sequence is:
7,-14,28,-56
Here
a1 = 7
a2 = -14
a3 = 28
First of all we have to find the common ratio. The common ration is the ratio between two consecutive terms of a geometric sequence and is same for all consecutive terms of a geometric sequence.
So,
[tex]r = \frac{a_2}{a_1} = \frac{-14}{7} = -2\\r = \frac{a_3}{a_2} = \frac{28}{-14} = -2\\[/tex]
The common ratio is -2.
The general formula for geometric sequence is given as:
[tex]a_n = a_1r^{(n-1)}[/tex]
Putting values
[tex]a_n = 7.(-2)^{n-1}[/tex]
For 7th term, putting n=7
[tex]a_7 = 7*(-2)^{7-1}\\= 7 * (-2)^6\\= 7 *64\\= 448[/tex]
Hence,
The 7th term of given sequence is: 448
Answer:
A
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
can someone please help, don't use this for points pls :/
(I'll give brainly)
Answer:
x = 3
AB = 18
Step-by-step explanation:
Based on the midsegment theorem:
[tex] MN = \frac{1}{2}(AB) [/tex]
MN = 9
AB = x + 15
Plug in the values and solve for x
[tex] 9 = \frac{1}{2}(x + 15) [/tex]
Multiply both sides by 2
[tex] 9 \times 2 = \frac{1}{2}(x + 15) \times 2 [/tex]
[tex] 18 = x + 15 [/tex]
Subtract 15 from each side
[tex] 18 - 15 = x + 15 - 15 [/tex]
[tex] 3 = x [/tex]
x = 3
AB = x + 15
Plug in the value of x
AB = 3 + 15
AB = 18
263/4 plz answer thank you
Answer:
65.75
Step-by-step explanation:
All you do is divide.
Answer:
65.75
Step-by-step explanation:
Please give me Brainlest!
A concession stand sell hot dogs and hamburgers. At a football game, 84 hot dogs and 36 hamburgers were sold for $276. At another football game, 60 hotdogs and 18 hamburgers were sold for $174. Wrote a system of equations to represent this situation. Then solve the system of equations.
Answer:
84x + 36y =$276
60x + 18y =$174
then solve
Step-by-step explanation:
x- hot dogs, y- hamburgers
1st football game- 84x + 36y =$276
2nd football game- 60x + 18y =$174
please help
the answer choices are
8 and 7/13
4 and 28/30
8 and 6/30
8 and 28/30
will give brainlyest
Answer:
answer is 8 and 28/30
Step-by-step explanation:
write 3/5x+1/4y=-1/2 in standard form
Answer:
12 x + 5 y = − 10
Step-by-step explanation:
Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11
Answer:
2; 5; 8
Step-by-step explanation:
To fill in the table, we need to generate an equation to represent the relationship between x and y.
First, find the slope using the two pairs given, (5, -1) and (25, 11):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]
m = ⅗.
Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.
[tex] y - y_1 = m(x - x_1) [/tex]
Where,
[tex] x_1 = 5, y_1 = -1 [/tex]
m = ⅗.
Plug in the values
[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3x}{5} - 3 [/tex]
Subtract 1 from both sides
[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]
[tex] y = \frac{3x}{5} - 4 [/tex]
Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.
✔️When x = 10:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]
[tex] y = 2 [/tex]
✔️When x = 15:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]
[tex] y = 5 [/tex]
✔️When x = 20:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]
[tex] y = 8 [/tex]
Answer:
2,5,8
Step-by-step explanation:
1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10
Answer:
it's a sooooooo it's the first one
Answer:
1/8
Step-by-step explanation:
i used the calculator.
A metalworker has a metal alloy that is 15% copper and another aloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 51% copper alloy?
The metalworker should use ____ kilograms of the metal alloy that is 15% copper and ____ kilograms of the metal alloy that is 60% copper.
which of the following is a UNIT RATE
1box/ $3
10miles/ 2hours
$6 for each hour
15 pounds every 5 servings
Most __ jobs are worked 10 to 20 hours per week
Answer: Most part-time jobs are worked 10 to 20 hours per week.
Answer:
part-time
Step-by-step explanation:
most part time jobs work shorter hours than 40
In factor market of the circular flow, firms receive factors of production
from households in exchange for
Answer:
In exchange for rent/royalty, wages/salaries, interest, and profit. All of which accrue to households, for the FOP they sell.
Step-by-step explanation:
In the Circular Flow of Income model, the movement of money and resources is described/illustrated.
The factor market is the arrangement where factors of production are bought and sold. Remember that factors of production are classified into 4 groups:
- land - labor - capital - entrepreneur
In a 2-sector economy, the players in the circular flow model will be Households & Firms
The factor market of the CFM will have households providing the factors of production and firms purchasing the factors of production.
So in the factor market of the CFM, firms receive factors of production from households, in exchange for payments such as rent (for land), income (for labor), interest (for capital), and profit (for entrepreneurial/management skills).
How Markets Work Unit Test: I just got done with the test
1.In the circular flow diagram, what do households receive from factor markets?
A.income
2.In what form do households receive income from labor within a resource market?
A.wages
3.As the price of a good or service increases, consumers will purchase a lower quantity of that good or service due, in part, to the fact that consumers cannot afford the same quantity of a good or service at a higher price. This concept is known as the _____.
A.income effect
4.An increase or decrease in which of the following factors would cause a shift in the demand curve for a given good? Select the two correct answers.
A.income and price of related goods
5.In a hypothetical country, the population is expected to increase by 25% following recent legislation relaxing the barriers that restrict immigration. It is expected that the new immigrants will purchase the same goods and services as the current population does. If all other economic forces are held constant, how would this increase in population influence demand?
A.shift the demand curves for all goods and services to the right
6.Which of the following satisfy the law of supply? Select the two correct answers.
A.A decrease in price is followed by a decrease in quantity supplied. and An increase in price is followed by an increase in quantity supplied.
7.Calculate the marginal product of labor associated with hiring a third worker.
A.4,000
8.A firm began the year making large profits. As time passed, the firm recorded the highest sales numbers in the history of its existence, but profit began to fall. Which of the following is a good strategy for the firm to follow if it wants to increase profits?
A.reduce output
9.A government official proposes taxing producers of plastic grocery bags at 10 cents per plastic bag. What effect would the tax have on the market for grocery bags?
A.Supply would decrease.
10.Baseball cards are considered to be a normal good. This means that, as incomes rise, consumers are willing and able to purchase greater quantities of baseball cards. How would an increase in incomes be modeled in a graph of the supply and demand curves for baseball cards?
A.The equilibrium point would move upward along the supply curve.
11.Movie tickets and popcorn are complementary goods. The price of corn, a good used in the production of popcorn, has fallen in price. Simultaneously, the rise of at-home streaming services have led movie theaters to decrease the amount of movies they offer. What is the result of these two events on the market for movie tickets?
A.The market equilibrium price of movie tickets will definitely rise.
12.A recent economic event has caused prices for a good to skyrocket. The same day, quantity supplied to the market fell by nearly 50%, and consumers experienced an immediate and significant shortage of the good. Which of the following economic events has most likely occurred?
A.Supply has decreased.
13.Which of the following is generally true of a competitive free market economy?
A.It can run itself without the intervention of government.
14.Within a single day, the popularity of a product rises to such a degree that the inventories of retailers are completely emptied of the product as consumers rush to purchase every available unit. You are the manager of a firm that produces this product, producing at profit-maximizing output prior to the surge in popularity. What would be an economically sound strategy for you to follow if you are acting in your self-interest?
A.Sell your product at a higher price to retailers.
15.What is a disadvantage of a multinational corporation?
A.stifles competition and innovation in host countries
16.How are the International Monetary Fund and the World Bank related?
A.The World Bank and International Monetary Fund both strive to help provide economic stability to countries in need.
17.Match the definition with the type of market structure.
Drag each item to the correct location.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A.A market with no barriers to entry and a large number of price-taking firms. perfect competition
A market with significant barriers to entry and a single price-setting firm. monopoly
A market with no barriers to entry and a large number of price-setting firms. monopolistic competition
A market with significant barriers to entry and a small number of price-setting firms. oliopology
18.The highest degree of product differentiation is found in which of the following types of market structures?
A.monopolistic competition
19. response answers
20. response answers
how do u do math? on my mom
Answer:
well... oop my FIRE ALARM WENT OFF gtg
Step-by-step explanation:
Answer:
1+1=2
Step-by-step explanation:
I need this done like rn so please help!
Answer:
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
Hope this helps!
~PumpkinSpice1
Answer:
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
Step-by-step explanation:
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
1. Most professional athletes are from the ages 25-30.
2. Do people over 40 years of age participate in professional sports?
A Kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables that will operate during the American football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Kamal can stock? Pls I need help. TwT
Answer
15 + 6 = 21 15 - 6 = 9 is the answer
can somone help me pls
Answer:
x = 9
Step-by-step explanation:
First equation = 4x - 8
Second equation = 7x - 35
Seperate the equation with an equal sign to make it an equality equation and solve for X so :
4x - 8 = 7x - 35 (Given)
-3x - 8 = -35 (Subtraction property of equality)
-3x = -27 (Addition property of equality)
x = 9 (Division property of equality)
Solution:
x = 9
22
Solve for x.
3x - 5 = 10
x equals.....
help
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
[tex]3x - 5 = 10[/tex]
We want to isolate the x.
[tex]3x - 5 = 10\\+5\;\;\;\;\;\;\;\;\; +5[/tex]
[tex]3x = 15[/tex]
Now, we want the x not to have a coefficient. We want it just to be x =. We will do this via inverse operations. Since 3 x is 3 multiplied by x, we will divide each side by 3.
[tex]\frac{3x}{3} \;=\;\frac{15}{3}[/tex]
[tex]x = 5[/tex]
~[tex]InLoveWithPugs[/tex]
[tex]Moderator\\Math \ Enthusiast[/tex]
Hii!
_________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
x=5
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
To solve for x, we need to first get it all by itself.
[tex]\twoheadrightarrow\sf3x-5=10[/tex]
[tex]\bullet[/tex] Add 5 to both sides
[tex]\twoheadrightarrow\sf3x=15[/tex]
[tex]\bullet[/tex] Divide by 3 on both sides
[tex]\twoheadrightarrow\sf x=5[/tex]
[tex]\bullet[/tex] Great job! We solved for the variable x
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
plz do this ill mark brainly
Answer:
1. Expression: y = 235x
Answer: 1,175
2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.
Step-by-step explanation:
5. 235 per second
5 x 235 = 1,175
Expression: y = 235x
Charlie T. Mole ate 16 insects. Anabel H. Mole ate 26
insects. How many more insects did Anabel eat
Answer:
10
Step-by-step explanation:
this is easy... subtraction
At a charity fund raiser, adult tickets were sold for $11 each and children’s tickets were sold for $5 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fund raiser sold 247 adult tickets and 390 children’s tickets? Let a= number of adult tickets and c= number of child tickets.
9514 1404 393
Answer:
11a +5c$4667Step-by-step explanation:
If 'a' adult tickets are sold for $11 each, the amount of money they sold for is ...
11a
If 'c' children's tickets are sold for $5 each, the amount of money they sold for is ...
5c
Then the expression for the total amount from the sale of tickets is ...
11a +5c . . . . total of money raised
__
The value of this expression for a=247 and c=390 is ...
11·247 +5·390 = 2717 +1950 = 4667
A total of $4667 was raised by the sale of tickets.
If ex + e*-1= 2, then x =..
Note: Your equation seems a little unclear. But, I am assuming that your equation is:
[tex]e^x\:+\:e^{-1}=\:2[/tex]
Because my solution would still clear your concept about this topic, no matter what the question is.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]e^x\:+\:e^{-1}=\:2[/tex]
subtract [tex]e^{-1}[/tex] from both sides
[tex]e^x+e^{-1}-e^{-1}=2-e^{-1}[/tex]
[tex]e^x=2-\frac{1}{e}[/tex]
[tex]\ln \left(e^x\right)\:=\ln \:\left(2-\frac{1}{e}\right)[/tex]
[tex]\:x\cdot ln\left(e\right)=\ln \:\:\left(2-\frac{1}{e}\right)[/tex]
[tex]\:x\cdot 1=\ln \:\left(2-\frac{1}{e}\right)[/tex] ∵ [tex]\:\:\ln \left(e\right)=1[/tex]
[tex]x=\ln \:\left(2-\frac{1}{e}\right)[/tex]
[tex]x=0.5[/tex]
5 1/4+ 15.5= plz help
Answer:
83/4 or 20 3/4
Step-by-step explanation:
5 1/4 + 15.5
21/4 + 15.5
83/4 or, as a mixed number, 20 3/4
The Center for Science and Industry sells adult tickets for $13 and children's tickets for $3. The expression 13a + 3c represents the total revenue from selling a adult tickets and children's tickets. Evaluate the algebraic expression
13a+3c for a = 135 and 404
Answer:
1)1755+3c
2)5252+3c
Step-by-step explanation:
13*135+3c
which is 1755+3c
and
13*404+3c.
which is 5252+3c
Hope this helps plz hit the crown and friend me :D
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation
Which of the following shows (2x + y) 4 (4 is small) In expanded notation?
Answer:
8x+4y
Step-by-step explanation:
so use the distributive property and multiply 4 into (2x+y), so you get
(2x*4) + (y*4) = 8x + 4y
hope this helped
how many miles are in 50 meters
Answer:
0.0310686
Step-by-step explanation:
ANSWER 0.0310686
Step-by-step explanation:
Eh- :P
Round 61.7625 to the nearest cent hurry! My math is due today!
Answer:to the neareast tenth the answer is 61.8 hope this helped!
Step-by-step explanation:
(4k^4)(-3k)^3
My math teacher gave me this and I don’t know what to do
Answer:
-12k^7
Step-by-step explanation:
Multiply coefficients, then add the exponents
Answer:
-1.03277491 × 10-158 m14 kg7 s-14 K-7
Step-by-step explanation:
here
A particle moves so that its position vector with respect to the origin of a reference frame Oxyz is r(t)=bcos w t+bsin w t+vt k,where i,j and k are unit vectors parallel to the co-ordinates axes Ox,Oy and b&V are positive constants.
(i)Find the velocity and speed of the particle
(ii)Describe the path moved by the particle
(iii)Find the acceleration of the particle
(i) Velocity is the rate of change of position, so if
r(t) = b cos(ω t ) i + b sin(ω t ) j + v t k
then
v(t) = dr/dt
v(t) = -b ω sin(ω t ) i + b ω cos(ω t ) j + v k
The speed of the particle is the magnitude of the velocity, given by
|| v(t) || = √[(-b ω sin(ω t ))² + (b ω cos(ω t ))² + v ²]
… = √[b ²ω ² + v ²]
(ii) The path is a helix. Suppose you zero out the k component. Then the path is a circle of radius b, and the value of ω determines how quickly a particle on the path traverses the circle. Now if you reintroduce the k component, the value of v will determine how far from the plane z = 0 the particle moves in a helical path as t varies.
(iii) Acceleration is the rate of change of velocity, so
a(t) = dv/dt
a(t) = -b ω ² cos(ω t ) i - b ω ² sin(ω t ) j
Two dice are rolled, what is the probability that the sum of the dice is 7, given that exactly one die shows a five?
A. 1/8
B. 1/5
C. 05/36
D. 1/6
Answer
the best answer is D