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!
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]
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
Find the area of the rectangle.
Answer: 5.6ft²
Step-by-step explanation:
Area of a rectangle = length x width
= [tex]\frac{4}{5} ft[/tex] (7ft)
= [tex]\frac{28}{5}ft^{2}[/tex]
= 5.6ft²
There are 3 yellow marbles and 4 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble ? Write your answer as a fraction in the simplest form
Answer:
3/7
Step-by-step explanation:
Because there are three yellow marbles and 7 marbles in all
In how many years will $1,000 yield an interest of
$6000 at 60% simple interest?
Answer:
10 years
Step-by-step explanation:
The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.
__
I = Prt . . . interest earned on principal P at rate r for t years
6000 = 1000·0.60·t . . . . use the given values for I, P, r
6000/600 = t = 10 . . . . divide by the coefficient of t
$1000 will yield an interest of $6000 in 10 years.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0. 05m 20, where m is the number of minutes used. What are the domain and range of the function C(m)?.
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
[tex]\rm C(m) = 0.05\ m + 20[/tex]
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.
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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.
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!!!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
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.
Which graph shows the line of best fit for the data ?
The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.
Answer:
c. Town B has a population of approximately 5,138.
Step-by-step explanation:
sorry its late
Based on the population density, town B has a population of approximately 5138; option C
What is population density?Population density is the ratio of the total population of a place and the area of the place.
Population density = population/areaPopulation density of A = 54016/3.89 = 138885.86 per square miles
Population density of B = 138885.86 per square miles
Population of B = 138885.86 × 0.37 = 5138
Therefore, town B has a population of approximately 5138.
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What is the area of ABC?
Answer:
C 10
Step-by-step explanation:
Heron's formula to calculate the area of a triangle based on 3 sides :
p (half the perimeter) = (a+b+c)/2
area = sqrt(p(p-a)(p-b)(p-c))
AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)
AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)
BC = b = sqrt(2² + 4²) = 2×sqrt(5)
p = 2×sqrt(5) + sqrt(10)
area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =
= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =
= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10
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?
Write a numerical expression to represent the phrase.
the difference of 4 cubed and 25
Hello!
First, "the difference" of 2 numbers means you subtract these numbers.
Then, 4 cubed is written as follows:
4³
Subtract:
4³-25
[If necessary] Evaluate:
64-25
39
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66
The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
How to find the net asset value?The net asset value is the difference of total asset value of the company to the total liabilities value of that company.
Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.
Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.
To find the net asset for this case, divide the profit with the number of shares and the higher price in that.
[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]
Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
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Select all the statements that describe the distribution of the data
if the sum of two consecutive even number is 22 , find the number
base radius of 7cm and height of 35cm what is the cylinder's volume
Answer:
5390 cm³Step-by-step explanation:
It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.
We must know this formula :
⇒ Volume(Cylinder) = πr²hWe will take the value of π as 22/7Now substituting the values :
⇒ Volume(Cylinder) = 22/7 × (7)² × 35
⇒ Volume(Cylinder) = 22/7 × 49 × 35
⇒ Volume(Cylinder) = 22 × 7 × 35
⇒ Volume(Cylinder) = 22 × 245
⇒ Volume(Cylinder) = 5390
Therefore,
The volume of the cylinder is 5390 cm³find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
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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.
Read more on isosceles triangle;
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i dont know what to say anymore just help
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
What is the value of k?
60.80
70.80
...... ................ .......
HELP ASAP
(will give brainliest)!
Answer:
42°
Step-by-step explanation:
∠NML = ∠ZYX =88°
Angles in a triangle add up to 180 so ∠ZXY =
180 - (50+88)
180-138
42
∠ZXY = 42°
HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 ft
Step-by-step explanation:
5 1/6 + 4 5/6 = 10
5 + 4 = 9
1/6 + 5/6 = 6/6 = 1
9 + 1 = 10
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
Please Help! Will Give Brainlest!
Answer:
y = 0
Step-by-step explanation:
Midline = the horizontal center line
The zeros of a polynomial are −1/2 and 3/7. Find the polynomial.
___x²+x− ___
Answer:
[tex]y=14x^2+x-3[/tex]
Step-by-step explanation:
If the zeros of the polynomial are -1/2 and 3/7 then:
[tex]\implies x=-\dfrac12[/tex]
Add 1/2 to both sides:
[tex]\implies x+\dfrac12=0[/tex]
Multiply both sides by 2:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=\dfrac37[/tex]
Subtract 3/7 from both sides:
[tex]\implies x-\dfrac37=0[/tex]
Multiply both sides by 7:
[tex]\implies 7x-3=0[/tex]
Therefore, the factored form of the polynomial is [tex]y=(2x+1)(7x-3)[/tex]
Expanding the brackets so that the polynomial is in standard form:
[tex]\implies y=14x^2-6x+7x-3[/tex]
[tex]\implies y=14x^2+x-3[/tex]