How do you solve this Зп – 1
Answers
Step-by-step explanation:
3n just means 3 × n
To actually solve the equation, the value of n would have to be given.
In some equations, you would have to solve for n and then answer the equation, but that's not possible with this one.
Related Questions
This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?
Answers
Answer: 88 cm^3
Step-by-step explanation:
= 1/2 • bh
= 1/2 • 6 • 8
= 24
= 1/3 • 24 • 11
= 88 cm^3
The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,
Calculate the volume as shown below,
The Volume of the pyramid = 1 / 3 × Area of the triangle × height
The volume of the pyramid = 1 / 3 × 1 / 2 × 6 × 8 × 11
The volume of the pyramid = 528 / 6
The volume of the pyramid = 88
Thus, the volume of the pyramid is 88 cm³.
To know more about volume:
brainly.com/question/13807002
#SPJ2
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
Answers
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
Learn more about inequalities on
https://brainly.com/question/24372553
#SPJ1
Question #9
Solve for x
4
x
Answers
The calculated value of x in the circle is 5
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the intersection of secant and tangent equation, we have
4 * (4 + x) = 6 * 6
This gives
x * (4 + x) = 36
When solved for x, we have
x = 5
Hence, the value of x is 5
Read more about circle at
https://brainly.com/question/32192505
#SPJ1
40 fewer than a number t
0 40-t
Ot+40
O -400
O t-40
Answers
Answer:
The answer is the last one - t-40
Complete the steps in order to write the inverse of f(x) = x + 5
1.
= x + 5
2.
= y + 5
3.
= y
4.
= x – 5
Answers
The complete order of the inverse function of the function f(x) = x + 5 is:
1. y = x + 5
2. x = y + 5
3. x - 5 = y
4. y = x - 5
How to complete the steps in order to write the inverse of f(x) = x + 5?The function is given as:
f(x) = x + 5
The opposite of the function f(x) = x + 5 is the inverse of the function.
So, we have:
f(x) = x + 5
Express f(x) as y
y = x + 5
Swap the positions of x and y
x = y + 5
Make x the subject of the formula
x - 5 = y
Rewrite as:
y = x - 5
Hence, the inverse function of the function f(x) = x + 5 is y = x - 5
Read more about inverse function at
https://brainly.com/question/14391067
#SPJ1
hello I'm stuck on this problem on my homework please help
Answers
Answer:
Given that mary deposits $93 each month in an annuity that pays 7.7% interest compounded montly.
To find the total value of the annuity in 28 years.
we have that,
The annuity formula helps in determining the values for annuity payment and annuity due based on the present value of an annuity due, effective interest rate, and several periods.
Formula for the annuity is,
\(FV=P×\frac{\left(\left(1+r\right)^n−1\right)}{r}\)where
P is the amount, n is the time period, r is the interest rate, FV is future value.
we get that,
P=93
\(r=\frac{7.7\%}{12}=0.641\%\)n=28x12=336
Substitute the values we get,
\(FV=93\times\frac{(1+\frac{0.641}{100})^{336}-1}{0.00641}\)Solving this we get,
\(FV=93\times\frac{(1.00641)^{336}-1}{0.00641}\)\(FV=93\times\frac{8.55817-1}{0.00641}\)\(FV=93\times\frac{7.55817}{0.00641}\)\(FV=93\times1179.1219\)\(FV=109658.339\)Round to nearest cent we get,
\(FV=109658.34\)Answer is: $109658.34
Suppose that 23 of work is needed to stretch a spring from its natural length of 30 cm to a length of 44 cm.
(a) How much work is needed to stretch the spring from 34 cm to 36 cm? (Round your answer to two decimal places.)
(b) How far beyond its natural lehgth will a force of 45 N keep the spring stretched? (Round your answer one decimal place.)
cm
Need Help
Answers
a) The work done is 3.3 J
b) The new force would stretch it 1.9 cm beyond its natural length.
What is Hooke's law?Hooke's law states that, the force of elasticity that tends to stretch a spring is directly proportional to the extension that is caused by the force as long as we do not by any means exceed the elastic limit of the material. This implies that the Hooke's law can only be found to hold when the elastic limit of the material has not been exceeded and the material has not become plastic.
Now;
F = Ke
W =1/2 Fe
F = 2W/e
W = work done
F = force exerted
e = extension
F = 2 * 23 /(44 - 30) * 10^-2
F = 328.6 N
a) To stretch 34 cm to 36 cm;
W = 1/2 * 328.6 N * 2 * 10^-2
W = 3.3 J
The work done is 3.3 J
b) F = Ke
328.6 N/(44 - 30) * 10^-2 = K
K = 2347 N/m
Then;
45 N = 2347 N/m * e
e = 45 N/ 2347 N/m
e = 0.019 m or 1.9 cm
New length = 30 cm + 1.9 cm = 31.9 cm
The new force would stretch it to a distance of 31.9 cm or 1.9 cm beyond its natural length.
Learn more about Hookes law:https://brainly.com/question/13348278
#SPJ1
What is the following product?
√12 √18
O√30
O 5√6
O 6√5
O 6√6
Answers
Answer: \(6\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)
The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.
What is product law for exponent?When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).
Step-by-step explanation:
\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2
\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3
Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.
\(=6\sqrt{6}\)
Hence the product of √12 and √18 is √12√18=6√6
To learn more about exponents click here:
https://brainly.com/question/27938922
#SPJ5
Which of the expressions are equivalent to the one below check all that apply
Answers
Answer:
A , B and C
Step-by-step explanation:
evaluate the expressions following the order of operations as set out in PEMDAS
initial expression
note that • indicates multiplication
3 (2 + 6) + 4 × 5 ← evaluate parenthesis
= 3(8) + 20 = 24 + 20 = 44
A
5 × 4 + 3 × (6 + 2) ← evaluate parenthesis
= 5 × 4 + 3 × 8 ← perform multiplication
= 20 + 24 ← perform addition
= 44
B
(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis
= 8 × 3 + 4 × 5 ← perform multiplication
= 24 + 20 ← perform addition
= 44
C
3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications
= 6 + 18 + 20 ← perform addition
= 44
D
3 × 2 + (6 + 4) × 5 ← evaluate parenthesis
= 3 × 2 + 10 × 5 ← perform multiplication
= 6 + 50 ← perform addition
= 56
the expressions equivalent to the initial expression are A , B and C
Simplify the following expression.
Answers
Answer:
\(\displaystyle \frac{cd^6}{a^4b^2}\)
Step-by-step explanation:
\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)
Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.
Step-by-step explanation:
a‐⁴b‐²cd⁶
_______
e‐⁷
cd⁶e⁷
_____
a⁴b²
peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?
Answers
Answer:
it will take him 30 weeks
Step-by-step explanation:
2 weeks = 1 kilogram lost
105-90=15
1 x 15 = 15
2 x 15 = 30
50 Points! Multiple choice algebra graphing question. Which square root function is represented by the graph? Photo attached. Thank you!
Answers
A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).
What is a square root function?In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.Therefore, the required square root function is given by;
f(x) = √(4x + 8)
Read more on translation here: brainly.com/question/4521517
#SPJ1
What is the surface area?
7 m
7 m
7 m
square meters
Help me plsss
Answers
Answer:
344M
Step-by-step explanation
The formula for solving is length x width x height. So you do 7x7=49 then 49x7=344m
Find the solution to the equation7x + 3 = 9x - 3 - 2x
Answers
7x + 3 = 9x - 3 - 2x
7x - 9x + 2x = -3 - 3
0 = -6
equation doesn't have any solution
Find the solution of the system of equations
shown on the graph.
Answers
Answer:
Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)
Find the area of the figure to the nearest thousandth
Answers
Answer:
\(236.715\:\mathrm{ft^2}\)
Step-by-step explanation:
The area of the figure consists of a rectangle and two half-circles.
Area of rectangle: \(15\cdot 4=60\)
Area of two half-circles: \(2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764\)
Thus, the total area of the figure is
\(60+ 176.714586764\approx \boxed{236.715}\)
What is the volume of the rectangular prism shown?
Answers
Answer:
18 3/64
Step-by-step explanation:
i did test trust me
Consider the line 7x+6y= 8. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answers
Answer:
The slope of a line parallel to this line is -7/6, and the slope of a line perpendicular to this line is 6/7.
Step-by-step explanation:
7x+6y=8
6y=8-7x
6y=-7x+8
y=-7/6x+8/6
y=-7/6x+4/3
Parallel lines have the exact same slopes, but perpendicular lines have negative reciprocal slopes.
Find the area of this problem
Answers
The area of the kite is A = 48 units²
Given data ,
Let the area of the kite be represented as A
Now , the value of A is
Let the first diagonal of the kite be d₁ = 12 units
Let the second diagonal of the kite be d₂ = 8 units
Now , Area of kite = ( 1/2 ) d₁ x d₂
On simplifying , we get
A = ( 1/2 ) ( 12 ) ( 8 )
A = 48 units²
Therefore , the value of A is A = 48 units²
Hence , the area of the kite is A = 48 units²
To learn more about kite click :
https://brainly.com/question/30482906
#SPJ1
Given that Sin ∅ = -4/5 and Tan ∅ > 0, find Cos ∅ and Cot ∅
Answers
We know that
\(\begin{gathered} \tan \phi=\frac{\sin\phi}{\cos\phi}=\frac{1}{\cot\phi} \\ \cot \phi=\frac{\cos\phi}{\sin\phi}=\frac{1}{\tan\phi} \\ \sin ^2\phi+\cos ^2\phi=1 \end{gathered}\)Using the third equation we are going to find cos∅:
\(\begin{gathered} \sin ^2\phi+\cos ^2\phi=1 \\ \cos ^2\phi=1-\sin ^2\phi \\ \cos ^2\phi=1-(-\frac{4}{5})^2 \\ \cos ^2\phi=1-\frac{16}{25} \\ \cos ^2\phi=\frac{9}{25} \\ \cos \phi=\pm\sqrt[]{\frac{9}{25}} \\ \cos \phi=\pm\frac{3}{5} \end{gathered}\)We, have two possibilities cos∅ is positive or cos∅ is negative.
By the first equation and the given information Tan∅ > 0, we know that
\(\frac{\sin \phi}{\cos \phi}>0\)Since sin∅ is negative, and sin∅/cos∅ is positive, cos∅ must be negative so tan∅ > 0. Then
\(\cos \phi=-\frac{3}{5}\)Using the second equation, we have that:
\(\begin{gathered} \cot \phi=\frac{\cos \phi}{\sin \phi} \\ =\frac{-\frac{3}{5}}{-\frac{4}{5}}=\frac{3}{5}\cdot\frac{5}{4} \\ =\frac{3}{4} \end{gathered}\) Answer: cos∅= -3/5 and cot∅ = 3/4
Ron walks 22.5 in 5 hours finds his speed
Answers
Answer:
his speed would be 4.5 miles per hour
Step-by-step explanation:
if you do the distance divided by the hours you will get the answer.
22.5/5=4.5
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
Answers
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
Learn more about idea of proportionality here : brainly.com/question/870035
#SPJ1
4. BOLD all polynomials that are in standard fom.
Help!!! Easy points
Answers
Answer:
b and d
Step-by-step explanation:
on both of those polinomials the terms are in order from the higest degree towards thhe lowest degree
lily cleaned the coin fountain at the mall and found 20 coins consisting of nickels and quarters. Her collection totaled $2.60 . How many quarters did she find
Answers
Answer:
10
Step-by-step explanation:
eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.
PLEASE HELP
5|12-r|>15
Answers
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
what is the z score of 2.13
Answers
Can someone help me with this problem number 4
Answers
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -\(\frac{11}{7}\)x + 2/7
slope is the coefficient of the 'x' term
PLEASE GIVE ANSWER AND EXPLANATION
A dolphin leaped from the
surface of the water at a
speed of 35 feet per second.
After 0.8 seconds, the dolphin
reached a height of 9 feet.
At what angle did the
dolphin leave the water?
A) 41.92
B) 43.40
C) 45.12
D) 46.74
E) 48.28
Answers
Therefore , the solution of the given problem of angles comes out to be 41.92 angles is the correct option.
What exactly is an angle?In Euclidean space, an angle is indeed a construction comprised of two beams that split at the apex & vertex, which are located in the middle of the angle. The side of loops are the name given to these rays. A combination of two rays may result in an angle that is within the planes in that they are located. Two planes can be combined to form an angle as well. They are referred to as dihedral angles. Two line rays with end points can be arranged in a variety of ways to create styles in two dimensions.
Here,
Given :
=> speed = 35 feet per second
=> time = 0.8 second
=> height = 9 feet
Distance covered slantly = 0.8 * 35 = 28 feet
=> Sin x = 9/28
=> x = Sin⁻¹(9/28)
=> x = 41.92
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
Angus earns $8.80 an hour at his Saturday job and $7.50 per hour at his after school job. Last week he earned a total of $127.80. The hours he worked after school were four hours more than he worked on Saturday. How many hours did he work on Saturday?
Answers
Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.
How the hours are determined:The hourly rate at Angus' Saturday job = $8.80
The hourly rate at Angus' after-school job = $7.50
The total earnings last week = $127.80
Let the hours Angus worked at Saturday job = x
Let the hours Angus worked after-school = 4 + x
The total hours worked = x + x + 4
2x + 4
Equations:The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)
127.80 = 8.8x + 7.5x + 30
127.8 - 30 = 16.3x
Hours worked at Saturday Job:x = 6 hours
Hours worked at After-School Job:x + 4 = 10 hours
2x + 4 = 16 (12 + 4)
Check:
Earnings at Saturday job = $52.80 ($8.80 x 6)
Earnings at after-school job = $75.00 ($7.50 x 10)
Total earnings = $127.80
Learn more about equations at https://brainly.com/question/2972832.
#SPJ1
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
Answers
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
To know more about rectangular prism follow
https://brainly.com/question/30799424
#SPJ1