Answer:
3 × 5 ^ n
Step-by-step explanation:
since the series is exponential, the ratio between adjacent terms is 5.
nth term of geometric/exponential series is given by:
nth term = first term × (ratio)^(n-1)
= 15 × 5^ (n-1)
= 15 × 5^n × 5^-1
= 3× 5^n
Suppose you know the answer to 4/5*(20*1 7/8). Explain how the Commutative and Associative Properties of Multiplication can make the computation easier. Then find the answer
You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.
What distinguishes an associative property from a commutative property?According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.
Explain:
[tex]\frac{4}{5}[/tex] ×(20×17/8)
20×17/8
340÷8
[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]
= [tex]\frac{64}{2}[/tex]
= 32
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Benjamin invested $66,000 in an account paying an interest rate of 63%
compounded annually. Christian invested $66,000 in an account paying an interest
rate of 5% compounded continuously. After 19 years, how much more money would
Benjamin have in his account than Christian, to the nearest dollar?
Answer:
$16,755
Step-by-step explanation:
You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.
Interest formulasThe formula for the account value multiplier when interest is compounded annually is ...
k = (1 +r)^t . . . . . . compounded annually at rate r for t years
When interest is compounded continuously, the multiplier is ...
k = e^(rt)
ApplicationThe difference in account values between the two rates is ...
∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))
∆value ≈ $16,754.70
Benjamin will have about $16,755 more than Christian after 19 years.
In the figure, m∠AOB = m∠COD. Which property of equality will you use to prove m∠AOC = m∠BOD?
A)
Subtraction
B)
Transitive
C)
Addition
D)
Symmetric
Answer:
transitive
.......gguf
Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240
Complete question :
Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240
Let t represent the average weight of tack per horse, which of the following inequalities could be used to determine the weight of the tack cari can allow for each horse
Answer:
t ≤ 352
Step-by-step explanation:
Maximum allowable weight (tack and horse) = 8000 pounds
Combined weight of 5 horses = 6240
Let average weight of tack per horse = t
Average weight of tack for the 5 horses = 5t
Hence, weight of tack + weight of horse ≤ 8000
5t + 6240 ≤ 8000
5t ≤ 8000 - 6240
5t ≤ 1760
t ≤ 352
help please (mhanifa)
For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other.Maximum value on the interval 2 ≤ x ≤ 6
(sort the cards/letters from least to greatest based on Maximum value on the interval 2 ≤ x ≤ 6)
Answer:
u sus imposter
Step-by-step explanation:
How do i solve this? (by factoring)
x(x+3)=x+8
[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]
[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]
It takes a ship three hours to cover 72 km with the current and 4 hrs against the current. Find the speed of the ship in still water and the speed of the current.
Answer:
3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
Answer:
The current is 3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
PEASE HELP RIGHT AWNSER GETS THE CROWN THING
Answer: i believe that the answer is B :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can either use the graph or the chart.
For this question it'll be easier to use the graph.
First find the y-intercept (that were your line meet the y-axis)
y = 4
Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])
Slope = 2
Then plug them into the equation: y = mx + b
m = slope = 2
b = y-intercept = 4
y = 2x + 4
Therefore, the answer is A
Given this equation in slope y - intercept form y=2x+5, the slope, and the y-intercept are represented as ______.
Answer:
slope is 2 ,, y intercept is 5
Step-by-step explanation:
y=mx+c
m represents slope
c represents y intercept
For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet
Answer:
A) 25 feet
Step-by-step explanation:
A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:
15/3 = 5
1 inch represents 5 feet.
Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:
5 x 5 = 25 feet.
5 inches represent 25 feet.
A) 25 feet is our answer.
~
What is the name of the shaded angle
Answer:
That's an acute angle.......
wow i dont know. i hope you figure the answer
URGENT! HOMEWORK DUE TOMORROW MORNING!
Miguel has three times as many dimes as he has quarters. He has as many nickels as he has dimes and quarters combined. The total amount of money he has is $3.00. How many of each coin does Miguel have?
After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.
What is algebra?
One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.
The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x
$3.00 when converted to cents is 300 cents.
The value of nickels is 5 x 4x=20x.
The value of dimes is 10 x 3x=30x.
The value of quarters is 25x.
As the total value of money Miguel has is 300 cents, then the algebraic equation will be -
20x + 30x + 25x = 300
Solve to get the value of x -
75x = 300
x = 4
Therefore, the amount of quarters is x = 4 quarters.
The amount of dimes is x = 3x = 3 x 4 = 12 dimes.
The amount of nickels is 4x = 4 x 4 = 16 nickels.
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5. An adult movie ticket costs $7.50, but a child's ticket is half that price. If a mom takes her two children to see a movie, what will her total cost for admission be?
Answer:
it will be 15 dollars kkkkkkkkkkkkk
Answer:
$15.00
Step-by-step explanation:
An adult ticket is $7.50
A child ticket is half the Price.
So a mom takes Two kids, Which means 7.50/2 which is then 3.75
So for 1 kid— 3.75
Adult - 7.50
The mom takes two kids.
Multiply 3.75 and 2.
You get 7.50.
Add the adult and child tickets, and you would then get $ 15.00
Have wonderful Day!
there can be more than one answer
The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.
What is spring force?The force needed or applied to compress or extend a spring on any attached object is known as the spring force.
A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium.
Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,
First, calculate the spring constant,
F = kx
180 = k x 6
k = 30 N / m
Calculate the deformation,
x = F / k
x = 420 / 30
x = 14 cm
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Each grid square is 1 square unit. Find the area, in square units, of the shape without counting every square. Be prepared to explain your reasoning.
The total area of the two rectangles is given by the equation A = 33 units²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the total area of the 2 rectangles be A
Now , each grid square represents = 1 square unit
Now , let the first rectangle be represented as P
The length of P = 4 grid squares
The width of P = 3 grid squares
Let the second rectangle be represented as Q
The length of Q = 7 grid squares
The width of Q = 3 grid squares
So , Area of Rectangle = Length x Width
The area of rectangle P = 4 x 3
The area of rectangle P = 12 units²
The area of rectangle Q = 7 x 3
The area of rectangle Q = 21 units²
So , the total area of figure A = area of P + area of Q
On simplifying the equation , we get
Total area of figure A = 12 units² + 21 units²
Total area of figure A = 33 units²
Therefore , the value of A is 33 units²
Hence , the area is 33 units²
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A slide reaches a vertical height of 16 feet and makes an angle of 25° with the ground. How long is the slide
Answer:
17.7 feet
Step-by-step explanation:
law of sines:
x = length of slide
base of slide forms a 90 degree angle with the ground
to find the number of degrees in the third angle, subtract 115 from 180
sin 65°/16 = sin 90°/x
16 = sin 65°(x)
x = 16/(sin 65°) ≈ 17.7 feet
Oof I need help again plz people
Answer:
3/10 m^2
Step-by-step explanation:
To find the area of the rectangle
A = l*w
= 2/5 * 3/4
=6/20
Divide the top and bottom by 2
= 3/10 m^2
Answer:
As a decimal it would be 0.3 but as a faction it would be 3/10
Step-by-step explanation:
2/5 times 3/4 = 0.3 or 3/10
Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14
Answer:
x ≈ 18.6
Step-by-step explanation:
using the tangent ratio in the right triangle
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )
x × tan37° = 14 ( divide both sides by tan37° )
x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )
PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.
Rewrite the function in vertex form.
Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405
A small box can hold 94.24 g of candy. If each candy has a mass of 1.52 g, how many candies can fit into each box?
Answer:
62 candies can fit into each box
Step-by-step explanation:
We know
A small box can hold 94.24 g of candy
Each candy has a mass of 1.52 g
How many candies can fit into each box?
To find it we take
94.24 divided 1.52 = 62 candies
So, 62 candies can fit into each box
What is the degree of the polynomial 7x 2y 3z 4?
The degree of a polynomial is the highest power of each variable in the equation. In the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Therefore, the degree of this polynomial is 8.
1. Identify the highest power of each variable.
For 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z.
2. Add the highest powers of each variable.
2 + 3 + 4 = 9
3. Subtract 1 from the sum.
9 - 1 = 8
4. The degree of the polynomial is the result of the subtraction.
Therefore, the degree of the polynomial 7x2y3z4 is 8.
The degree of a polynomial is the highest power of each variable in the equation. To calculate the degree of a polynomial, you must identify the highest power of each variable and add them together. Then, subtract 1 from the sum to get the degree of the polynomial. For example, in the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Adding these powers together gives us 9. Subtracting 1 from this sum gives us 8, which is the degree of the polynomial. Therefore, the degree of the polynomial 7x2y3z4 is 8.
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Anyone pls help :) I'll give brainliest
Answer:
B. -5/2
Step-by-step explanation:
(0, -7) and (-4, 3)
m = 3+7/-4-0
m = 10/-4
m = -10/4
m = -5/2
Answer:
b
Step-by-step explanation:
How do you graph log functions with transformations?
required transformed function will be y = parent function+5⇒y=logx+5.
Since, given function y= logx
According to the graph, the transformed function is getting after shifting the function by 5 unit upward.
Thus, transformed function must be equals to parent function+5.
Therefore, required transformed function will be y = parent function+5⇒y=logx+5.
How to do logarithmic transformations?
Image result for How do you graph log functions with transformations?
Recall the general form of a logarithmic function is: f ( x ) = k + a log b where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log
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In ΔWXY, w = 470 inches, mm∠W=55° and mm∠X=42°. Find the length of y, to the nearest 10th of an inch.
The length of y using sine rule is 6664.2 inches
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
in this case w/sinW = y/sinY
Y = 180-(55+42)
Y = 180-(97)
Y = 83°
Therefore 470/sin55 = y/sin83
470× sin83 = y sin55
= 466.50 = 0.707y
divide both sides by 0.707
y = 466.50/0.707
y = 6664.2 inches
therefore the length of y is 6664.2 inches
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Use the distributive property to write an equivalent expression to 8(7 + 3y). Explain how you know they are equivalent.
Answer:
56 + 24y
Step-by-step explanation:
8(7 + 3y) = 56 + 24y
Because
8 * 7 = 56
8 * 3y = 24y
If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3
Answer: The answer is A and b, the person above me is wrong
Step-by-step explanation: Hope y'all stay safe and healthy! ^^
Find the solution of (x+2)^2 +2=6 by using square roots method
Answer:
(x + 2)² +2 = 6(x + 2)² = 4√(x + 2)² = √4x + 2 = ± 2x = -2 ± 2x = -4, x = 0sharla's batting average is 0.583. what would that be in fraction form
Given:
Sharla's batting average is 0.583.
To find:
The fraction form of the Sharla's batting average.
Solution:
It is given that Sharla's batting average is 0.583. So, it can be written as:
[tex]0.583=0.583\times \dfrac{1000}{1000}[/tex]
[tex]0.583=\dfrac{583}{1000}[/tex]
This fraction can not be simplified further because there is no common factor of 583 and 1000.
Therefore, the fraction form of the Sharla's batting average is [tex]\dfrac{583}{1000}[/tex].
help help help help help help
The equation point slope is y - y1 = m(x - x1)
we got y - (-16)=3(x-7)
what is meant by point of slope?Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-interceptThe slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept pointA simple definition of point-slope form is an equation of a line written using one point on the line and the slope of the line. The point form is written as (x,y) and the slope is the rise over run, or the ratio of the change in the y values over the change in the x valuesThe slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).To learn more about point of slope refers to:
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linear equations with distributing drag and drop
Can someone please help me with these? I'll give you a 5 star rating, and brainliest answer!
Answer:
A.)
distributeadd 7x to both sidesadd 6 to both sidesdivide both sides by 10B.)
distributecombine like termssubtract 12x from both sidesadd 6 to both sidesdivide both sides by 10