Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
6
9
11
16
Answer:
26.6666666667
Step-by-step explanation:
3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667
at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
order the values from least to greatest
Answer:
1. minus 7 by 8
2.minus 3 by 4
3. minus 1 by 2
4. 5 by 8
5.1 by 4
write a funny statement
Answer:
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?
If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided in the question,
The selling price of the house = $64,900
Profit percent = 25%
The profit price of the house after selling,
64900 × 25/100
= $16225
Now,
The purchase price of the house,
$64900 - $16225 = $48675.
To know more about Percentage:
https://brainly.com/question/29306119
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Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.
Answer:
Raul
Step-by-step explanation:
Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group
What force is required to accelerate a car at a rate of 5 m/s2 if the car has a mass of 35.7 kg?Force Mass Acceleration
30.7 N
7.14 N
178.5 N
0.14 N
Answer:
178.5 N
Step-by-step explanation:
force = mass * acceleration
f = 35.7 * 5
f = 178.5
178.5 Newtons
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)
What is the answer to this?
Answer: -8 -5i
Step-by-step explanation:
(-10 – 6i) +(2+i)
-10 – 6i +2 + i
(-10 +2) + (i – 6i)
-8 -5i
Who Is Nathan Drake?
Answer:
he's the guy from uncharted
Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.
A sink can hold 10 gallons of water.how many quarts of water can the sink hold?
Answer:
40 quarts
Step-by-step explanation:
one gallon is 4 quarts, so ten gallons would be 40.
4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)
What is considered an exponential monthly growth rate.
The Answer equals 1.9%
What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?
Please need help 100 points
Answer:
(29/37)-(48/37i)
Step-by-step explanation:
Use complex arithmetic rule:
a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2
To get: (29-48i)/37
Then rewrite it in standard complex form to get your answer.
Hope that helps!
Math may be hard but you gotta learn to get smarter
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
Answer:
answer=11 cm.
Step-by-step explanation:
Step-by-step explanation:
V = Volume of cube
a = edge
Formula of volume of cube:
V = a³
[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]
The length of each edge is 11 cm.
What is the answer?? I need help!!
NO LINKS!!!
Function
Use "vertical line test"
searched it if you don't know
Step-by-step explanation:
yes, it is a function.
every value of x has exactly one associated (result) value of y.
that several different x have the same result value y, is not a problem.
a problem would be, if there were at least one value of x that would have multiple possible result values. then it would not be a function.
Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .
Answer:
follow the statement below
Step-by-step explanation:
The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.
Equation: y = ax² + bx + c
y intercept (0 , 3): c = 3
axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve
3 = a*(-10)² + b*(-10) + 3
100a - 10b = 0
b = 10a .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function
y = 0.5x² + 5x +3
y = x² + 10x + 3
y = 2x² + 20x +3
........................
Additional questions!!! Please help, due today!!!
Answer:
A.
Step-by-step explanation:
?
What is a limit in calculation.
Answer:
I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value. Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.
Step-by-step explanation:
The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Step-by-step explanat hope that help
The function is
[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]
Graph attached
Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Neither
Step-by-step explanation:
Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour?
Answer:
61 miles in one hour
Step-by-step explanation:
366/6=
6*6=36
366/6=06
6*1=6
366/6=061 miles per hour
Answer: 61 mph
Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.
What is four thirds -2/5
Answer:
14/15
Step-by-step explanation:
You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answer:
5 /12
Step-by-step explanation:
3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.
(EXPLAIN HOW DONE)
Answer:
Step-by-step explanation:
Let R and G stand for the prices of rose bushes and geraniums, respectively.
We are told that:
Abhasra: 30R + 11G = $219
Lisa: 6R + 44G = $420
Two equations and two unknowns. Eliminate one of the variables by substitution:
Let's start with
6R + 44G = $420
and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:
6R + 44G = $420
4*(30R + 11G = $219) = 120R + 44G = 876
Now subtract this equation from the first:
6R + 44G = $420
-120R - 44G = -$876
-114R = -456
R = 4: Rose bushes are $4 each.
Now use R= $4 in either equation to find G:
6R + 44G = $420
6($4) + 44G = $420
$24 + 44G = $420
44G = $396
G = : Geraniums are $9.00 each.
A Create a linear expression
Answer:
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation: