The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour
How to calculate the rate?Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the an airplane travels 4720 kilometers in 8 hours. The rate is:
= 4720 / 8
= 590 kilometers per hour
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:
= 4040 / 4
= 1010 kilometers per hour
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Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?
The resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
What are vectors?A vector is an object that has both a magnitude and a direction.
Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.
For the subtraction of vectors, we can write its magnitude as -
|r - s| = √(r² + s² - 2rscos{15})
Therefore, the resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
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You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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value of y please help me
All exponential functions can be written in many forms. Write the function f(t)=90,000(1.3)^t in the form f(t)=ab^t/5. Round all coefficients to four decimal places.
The expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
What is an exponential function?A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given that, we have to express the function [tex]f(t) = 90,000(1.3)^t[/tex] in the form of [tex]f(t) = ab^{\frac{t}{5} }[/tex]
Comparing both the functions,
[tex]b^\frac{t}{5} = (1.3)^t[/tex]
We can write, [tex](1.3)^t[/tex] as
[tex](1.3)^t = (1.3^5)^\frac{t}{5}[/tex]
[tex]= 3.71^\frac{t}{5}[/tex]
Therefore, the equation ca be written as, [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
Hence, the expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-17)®
(7x-3)
56°
The measurement of three angles in the triangle are 43°, 81°, 56°.
What are the angles of a triangle?A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.
Given three angles,
∠A = (5x - 17)°
∠B = (7x - 3)°
∠C = 56°
We know that in a triangle ∠A + ∠B + ∠C = 180°
By substituting values,
(5x - 17) + (7x - 3) + 56 = 180
12x -20 + 56 = 180
12 x + 36 = 180
12x = 180 - 36
12x = 144
x = 144/12
x = 12
By substituting values of x we get,
∠A = (5x - 17)°
= 5 x 12 - 17
= 60 - 17
= 43
∠A = 43°
∠B = (7x - 3)°
= 7 x 12 - 3
= 84 - 3
= 81
∠B = 81°
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HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP
Write a letter to your friend describing your hobbies. (80 words)A2/32, Chengal Nagar
Tambaram
Chennai – 600023
May 5, 2021
Dearest Malu,
I hope this letter finds you in the best of health. I received your letter the other day asking how I am spending my leisure time these days.
I have developed many hobbies over the years but collecting stamps and embroidery have been my favourite so far. Stamp collection is something I started as a kid. I had just taken a few pages off my notebook and made it my stamp book. I get so excited every time I see the postman. I wait to see what kind of stamp I will get. Knowing that I have a liking for collection of stamps, my cousins have been sending it across to me every time they find a different stamp. I can’t wait to show you my collection.
Embroidery is another hobby I picked up recently. I always liked embroidered clothes. I just started trying out different stitching patterns. Slowly, I learned almost everything, and now I am selling embroidered frames and dresses. It is so fulfilling to see a piece of work come out so well. I am sending you a gift along with this letter, something I made, as your birthday is fast approaching.
Hope to meet you soon.
Your dearest friend,
Renitaالسلام عليكماخوي عارض شريطPandemic
Which expression is equivalent to -3(x+4)(x-6)-(x^2+8x-10)?
Answer:-4x^2-2x+46.
Step-by-step explanation:
To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:
(-3)(x+4)(x-6)-(x^2+8x-10)
Then, you can distribute the -3 to the terms inside the first set of parentheses:
(-3x-12)(x-6)-(x^2+8x-10)
Then, you can combine like terms:
-3x^2+6x+36-x^2-8x+10
This simplifies to:
-4x^2-2x+46
Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.
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Here is a graph of the function h.
Use the graph to find the following
If there is more than one answer, separate them with commas
(a)
All local minimum values of
h
(b) All values at which h has a local minimum:
The graph also shows two other local maxima, at x=0.5 and x=1.5.
The local minimum(a) -4, -2, 0, 2 (b) The local minimum values of h occur at x = -4, -2, 0, and 2.These values can be seen on the graph as points at which the graph of h changes from decreasing to increasing.At each of these points, the value of h is at a minimum compared to the values of h on either side of the point.All values at which h has a local maximum: 0.5, 1.5All local maximum values of h: 2.5, 4.5.The graph of the function h is a parabola that opens upwards, with a turning point at x=1.This indicates that the function has a local maximum at this point.The local maximum values of h at these points can be determined by looking at the y-values at these points, which are 2.5 and 4.5 respectively.To learn more about All local minimum values refer to:
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A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.
Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term
Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term
Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)
Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)
Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)
Answer:
To compare the two financing offers, we need to calculate the total cost of each offer.
Part A: What is the total cost of offer 1?
To calculate the total cost of offer 1, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 24.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2490/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,534.89.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,534.89 = $4,509.89.
Therefore, the total cost of offer 1 is $4,509.89.
Part B: What is the total cost of offer 2?
To calculate the total cost of offer 2, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,
To continue the calculation of the total cost of offer 2, we need to calculate the total interest using the formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,405.70.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,405.70 = $4,381.70.
Therefore, the total cost of offer 2 is $4,381.70.
Part C: Which financing offer should the new homeowner choose?
Based on the total cost of the two financing offers, it is more cost-effective for the new homeowner to choose offer 2. Offer 2 has a lower total cost ($4,381.70) compared to offer 1 ($4,509.89), so it would be the better choice for the new homeowner.
Step-by-step explanation:
If the equation of a circle is (x + 5)2+(y-7)2=36, its radius is
06
016
0 36
Therefore , the solution is circle Part 1: The central idea ( -5 , 7 ). 2nd part: Radius is 6 in part 2,3rd part: FALSE and Parts 4. There are 10 miles between A and B.
What is circle?A circular shape called a circle is created by following a moving point in a plane so that its distance from a particular point remains constant. The Greek word kirkos, which means hoop or ring, distance is the source of the English word circle.
Here,
The common circle equation is,
( x - h )² + ( y - k ) ( y - k )
6² = r²
where the circle's radius is r and the center's coordinates are (h, k).
Part 1.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( -5 , 7 )
Consequently, the second choice is the right one.
Part 2.
Using the common circle equation, we obtain,
circle radius is six.
Consequently, the first choice is the right one.
Part 3.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( 2 , 3 )
Therefore False.
Part 1.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( -5 , 7 )
As a result, the second choice is the right one.
Part 2.
In comparison to the common circle equation, we obtain,
circle's diameter is six.
As a result, the first choice is right.
Part 3.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( 2 , 3 )
So, False.
Part 1.
Giving the distance between two points,
Distance between A(-5, 3) and B (5, 3), expressed as:
=> [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} )}[/tex]
= > [tex]\sqrt{(-5-5)^{2} + (3-3)^{2} )}[/tex]
=> 10
Thus, 3rd Option is correct.
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A line passes through the origin (−1, 1) and (4, n). Find the value of n.
The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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Is the set of rational expressions closed under division
Answer:
Step-by-step
Closure property is true for division except for zero.
If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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Graph the linear equation.
4x+6y=−12
Plot two points on the line to graph the line.
Answer: (-3,0) and (0,-2)
Step-by-step explanation:
(5 x 7) + (n x 4) = 5 x (7+ 4) write each missing number
The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).
Now, If we expand the RHS we have,
5×(7 + 4).
= (5 × 7) + (5 × 4).
Now, Writing the obtained RHS with LHS we have,
(5 × 7) + (n × 4) = (5 × 7) + (5 × 4).
So, The missing number is 5.
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draw and divide a rectangle to show each product use a distributive property to find the product 5×14
The product of 5 and 14 using the distributive property is 70.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
For three numbers a, b and c, Distributive property states that,
a (b + c) = a b + a c
We have to find the product 5 × 14 using distributive property.
5 × 14 = 5 (12 + 2)
Using distributive property,
5 × 14 = (5 × 12) + (5 × 2)
= 60 + 10
= 70
Hence using distributive property, we can find the product of 5 and 14 as 70.
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Find the value of x.
30°
105°
xo
Exterior angle of triangle x has a value of 135 in this sentence.
What is the simplest technique to measure angles?A protractor can be used to measure angles precisely. Angles are measured in degrees, hence the term "degree measure." Since one full revolution is equivalent to 360 degrees, it is divided into 360 segments.
What exactly is the triangle rule?According to the "sides of a triangle rule," any two sides of a triangle must add up to be longer than the third side.
By extending one side of the triangle, an external angle is formed. An exterior angle is the angle formed by the stretched side and the side that is immediately adjacent.
Practice. Triangle Angle Measurement
via the triangle's external angle characteristic, x = 105 + 30 = 135.
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Combine the like terms to create an equivalent expression.
4r + 14 - r - 6 =
[tex]4r + 14 - r - 6[/tex]
Combine Like Terms:
[tex](4r-r)+(14-6)[/tex]
[tex]=\fbox{3r + 8}[/tex]
Which of the following points best represents the location of -1;
15.
ос
OD
Ов
ОА
+
-2
в с
0
on the number line?
D
2 +
2
D. Maria collects postcards. The table gives the
number of each type of postcard she has in her
collection. Use the data to write each ratio in
three different ways.
A. U.S. Landmarks to European Landmarks:
Answer: A. U.S. Landmarks to European Landmarks
Maria has 25 U.S. landmark postcards and 20 European landmark postcards. The ratio of U.S. landmarks to European landmarks can be written as 25:20 or as 25/20.
Alternatively, we can express the ratio as a fraction. If we divide the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we get 25/(25+20)=25/45
The last way we can express the ratio as a decimal. By dividing the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we can find that the ratio of U.S. landmarks to European landmarks is 25/45 =0.555 or 55.5%
Step-by-step explanation:
Hannah simplified the radical below and wants someone to check the work (view image)
Answer:
4|x|y²√(3yz)
She forgot the absolute value sign on x, and she left out the exponent on y.
Step-by-step explanation:
Step 1 is correct.
x may be positive, zero, or negative.
√x is always non-negative. To assure that √x² is non-negative, √x² = |x|.
√16 = 4
√3 = √3
√x² = |x|
√y² × √y² = √y^4 = y²
Since y² is always non-negative, there is no need for absolute value sign.
√y^4 = y²
Answer should be
4|x|y²√(3yz)
Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5hello i need help with ym math today please and thanks
The annual cost if she chooses to make monthly payment is $1920 and money saved is $170
How to determine the incomes?The given parameters that will help us to determine the incomes are
Mindley switching to insurance comapnyAnnual premium $1750/ yearMonthly premium $160*12 = $1920a) Annual cost if she chooses to make one annual monthly installment is $1920
b) Money saved is she makes one annual payment is $(1920-1750)= $170
3) Volume of gas = 60 L
Efficiency rating = 10.2km/L
Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L
b) Cost of gas = 149.9⊄⊄/L
Number of liters =60
= 60*149.9
=$8994
c) Constant gas price = $149.9⊄/L
Number of weeks /year = 52
=52*149.9
= $7795
4) Morgan pay $15/hr
Number of hours per week = 40
Gross monthly income = 40*15*4
=$2400
b) Monthly income $2400
Amount left after deduction = 85%
=0.85*2400
Net income = $2040
In conclusion Mindley receives $1920 monthly and saves $170
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On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
She traveled 6.375 miles by train.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here as per question the formula is x × (4+3×4)=34
∴ x×16=34
x= 6.375
Hence, She traveled 6.375 miles by train.
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3 Dylan needs to buy new contact lenses. His ophthalmologist sells 8-lens boxes in
packs of 2 for $52 and 10-lens boxes in packs of 4 for $120. Which option is the
better deal?
Answer:
Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.
Step-by-step explanation:
Answer:
he should buy the 10-lens boxes in packs of 4 for $120
Step-by-step explanation:
list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12
The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
What is a number line?A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.
The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.
Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
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100 POINTS!!! Please help.
Answer:
[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Step-by-step explanation:
Given expression:
[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]
Simplify:
[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]
[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]
[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Find the greatest common factor of the
following monomials:
gh5
OOHO
Clear all
10g5h4
Enter the correct answer.
?
DONE
To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.
What is monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables. Let us consider an expression 6xy2. The variables, the coefficient, and the degree of this monomial are shown in the table given below. Observe the table to learn the various parts of the monomial 6xy2.In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials. In other words, each term in a polynomial is a monomial.To learn more about coefficients refer to:
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factor each square root
0.7 times square root of 300
-0.125 times square root of 192
Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes. You calculate the distance you will run. What mistake did you make in your calculation? [Use the formula S = dt.]
Answer:
Below
Step-by-step explanation:
S = dt S = distance d = rate = 6.5 m/ hr t = time = 30 min = 1/2 hr
S = (6.5 m/hr) *(1/2 hr) = 3.25 miles
The value of distance you will run will be;
⇒ Distance = 3.25 miles
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You are going to run at a constant speed of 6.5 miles per hour for 30 minutes.
Here,
Speed = 6.5 miles per hour
Time = 30 minutes
= 30/60 hour
= 1/2 hour
We know that;
⇒ Speed = Distance / Time
Substitute all the values we get;
⇒ 6.5 = Distance / (1/2)
⇒ 6.5 × 1/2 = Distance
⇒ Distance = 3.25 miles
Thus, We get;
⇒ Distance = 3.25 miles
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