Answer:
Let y = '?'
6(x + y) = 6x + 30
6x +6y = 6x + 30
6x + 6y - 6x = 6x + 30 - 6x
6y = 30
6y / 6 = 30 / 6
y = 5
The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13[tex]\sqrt{x}[/tex] ,
where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?
Answer:
See below ↓
Step-by-step explanation:
a. In the attachmentb. Domain : x ≥ 0, Range : y ≥ 0c. f(x) = 3.13√10 = 9.89 m/sa. Graph shown Below.
b.
domain is in x-axisrange is in y-axisdomain : x ≥ 0
range : f(x) ≥ 0
c.
rate of waves:
[tex]\sf f(x) = 3.13\sqrt{x}[/tex]
the wave is 10 m above the sea
[tex]\sf f(x) = 3.13\sqrt{10}[/tex]
[tex]\sf f(x) = 9.9 \ m/s[/tex]
Which graph shows the line of best fit for the data ?
if the sum of two consecutive even number is 22 , find the number
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
When you do this please show the work
Answer:
2) [tex]\displaystyle -9a^3b^5[/tex]
1) [tex]\displaystyle \frac{x^8}{3}[/tex]
Step-by-step explanation:
2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]
1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]
The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.
I am joyous to assist you at any time.
A cyclist managed to ride 5 miles against the wind in the same time that it took him to ride 10 miles with the wind. If the wind speed is 4 mph, which equation can be used to calculate the cyclist's average rate of speed in miles per hour
Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;
[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
How can the correct equation be found?The distance the cyclist rides against the wind = 5 miles
The distance the cyclist rides with the wind = 10 miLes
Let t represent the time it took the cyclist in both directions, we have;
[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
Where;
v = The cyclist's average rate of speed
Which gives;
10 × (v - 4) = 5 × (v - 4)
10v - 40 = 5v - 20
5v = 20
v = 20 ÷ 5 = 5
The equation that can be used to calculate the cyclist's average rate of speed is therefore;
[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]
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Please help me it’s due today.
Step-by-step explanation:
i) linear
ii)2
iii) 1
iv) 1
v) -1/5
First one can u type the options in the comment
If angle ABC measures 122, what does angle ADC measure?
Answer:
61
Step-by-step explanation:
angle at centre equals twice that at circumference
answer quickly please
The line TU is tangent to the circle whose center is at point S
The measure of angle U is 84 degrees
How to determine angle U?From the question, we understand that:
Angle STV = 84 degreesTU is tangent to circle SThis second highlight means that:
Angle STU = 90 degrees
And:
Angle STU = Angle STV + Angle VTU
This gives
90 = 84 + Angle VTU
Subtract 84 from both sides
Angle VTU = 6
The measure of angle U is then calculated as:
U + Angle VTU + Angle UVT = 180 ------ sum of angles in a triangle
This gives
U + 6 + 90= 180
Evaluate the sum
U + 96 = 180
Subtract 96 from both sides
U = 84
Hence, the measure of angle U is 84 degrees
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Exactly 150 years ago, students planted a tree in front of their school. Since then, the tree has grown 21 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answer: There are 2 different unit rates here:
The increase of the tree's height per year
The increase of the tree's trunk per year
Rate of tree's height per year
= 33m / 150 years = 0.22m per year.
Rate of tree's trunk per year
= 3m / 150 years = 0.02m per year.
what is the common denmoniator of 3/4 2/3
Answer:
9/8
Step-by-step explanation:
3/4 2/3
LCM=12
9/8
Am not sure
Felix’s Feed Mill sells chicken feed for $8. 00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0. Plan B: Raise the price by 10 percent each week until the price reaches $12. 0. Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12. 0. Plan D: Raise the price by $0. 25 each week until the price reaches $12. 0. Which plan will result in the price of the feed reaching $12. 00 fastest? plan A plan B plan C plan D.
The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Felix’s Feed Mill sells chicken feed for $8. 00 per bag.
This price is no longer high enough to create a profit.
Felix decides to raise the price. He is considering four different plans.
The plan will result in the price of the feed reaching $12.00 fastest will be
Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.
⇒ $0.10 × 20 = $2
This plan will take 20 weeks to reach at a price of $12.
Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is
[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]
This plan will take less than 5 weeks.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be
Amount = 2/8 = $0.25
Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.
⇒ 0.25 × 8 = $2
This will take 8 weeks.
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Please Help! Will Give Brainlest!
Answer:
y = 0
Step-by-step explanation:
Midline = the horizontal center line
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31
The quarterly payment will be $1,127.86
What is compound interest?
Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.
The amortization formula is ...
[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have
P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]
[tex]A=$1127.86[/tex]
Hence the quarterly payment amount is $1,127.86.
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Expand the binomial (3x^2+2y^3)^4
Answer:
Hope it helps!!!brainliest pls!!!If X and Y are 2 finite sets such that n() = 9, n( XY) - 4 and n( XY) -15, then n() is
(A) 5
(B) 6
(C) 10
(D) 12
Answer:
I think it's a hope this helps
What is the difference of the solutions to (y-3)(y+3/2)=0?
I got stuck on the last part. Can someone answer this step by step please? And what is 3-3/2?
Answer:
(y-3)(y + 3/2) = 0
y = 3 or y = -3/2
the diff
3 - ( - 3/2 )
3 + 3/2
6/2 + 3/2
9/2 or 4.5
19. Which of the following statements about the number line is true?
A. Numbers get smaller as you move to the left on the number line.
B. Number lines can't help you compare numerals.
O C. Numbers get larger as you move to the left on the number line.
D. Number lines end with the number 10.
Answer:
A. Numbers get smaller as you move to the left on the number line.
Step-by-step explanation:
A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.
__
Numbers get smaller as you move to the left on the number line.
_____
Additional comment
Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.
Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.
HELP ME QUICK PLSSSSSSSS I NEED HELP
Answer:
1.b
2.c
3.a
4.a
5.d
Step-by-step explanation:
yan na po sana maka tolonglast year there were c pies baked for the bake sale this year there were 229 pies baked using c write an expression for the total number of pies baked in the two years
Answer: c+229
Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.
On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the center of dilation. What is the length of the resulting segment ?
A-80
B-100
C-112
D-125
The length of the dilated line segment is 80 units.
What is dilation?Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]
The length of the dilated line segment is 80 units.
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The point (-5, 6) is on a circle with a center (-1, 3).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Step-by-step explanation:
The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.
Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:
(x+5)^2 + (y-6)^2 = 25
Please help i am confused
Answer: (1)
Step-by-step explanation:
The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.
Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
Answer:
8 miles
Step-by-step explanation:
In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes
So multiply 1 mile for 4 to get 4 miles
Matt would walk 4 miles in 1 hour
Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.
Answer:
Matt would walk 8 miles in to hours.
Step-by-step explanation:
15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.
1 mile times 8 = 8 miles
Hope that helps!
1. Which of the following is an example of a system of equations?
x^2 + 5y + 10 = 14
x - y = 12
x+y=12
x – 3y > 23
3x^1/3+ 2y < 100
x+y=12
3x^1/3 + 5y = -19
x + 5y < 55
Answer: (1)
Step-by-step explanation:
A system of equations must have two equations. The first option is the only one that satisfies this.
Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
What information is included in this loan agreement that would NOT be included if Ron had gotten a loan from a bank or credit union?
Can an isosceles triangle be a right triangle? Why or why not?
Answer: Yes
Step-by-step explanation:
It can have angles of 90 degrees, 45 degrees, and 45 degrees.
Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.
What is the isosceles triangle?The Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides, which are equal to each other.
Since the two sides are equal it makes the corresponding angle congruent.
An Isosceles triangle is a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.
Hence, Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.
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Write the expression as a product.
25-(a + 7)^2
pls help
Answer:
-(12+a)(a+2)
Step-by-step explanation:
this is to ez
The expression as a product is (a+12)(-a-2)
What is an expression?An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²
= 25 - (a²+49+14a)
= 25-a²-49-14a
= -a²-14a-24
Factorizing,
= -a²-12a-2a-24
= -a(a+12)-2(a+12)
= (a+12)(-a-2)
Hence, the expression as a product is (a+12)(-a-2)
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Miko and Raj get the same salary. Every month Miko saves
9/11 of her salary while Raj saves
7/9 of his salary. Every year Miko saves $1584 more than Raj. Find the monthly salary of Miko.
Answer:
Step-by-step explanation:
The salaries are the same. Only the fraction of how much is saved is quite different.
Equation
x ( 9/11 - 7/9) = 1584
Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.
The amount that is more is 1584.
Solution
9/11 = 0.8182
7/9 = 0.7778
9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404
Put that into the equation.
x(0.0404) = 1584 Divide by 0.0404)
x(0.0404) = 1584/0.0404
answer:x = 39204