To convert 1559 cm to inches, divide by 2.54, and the result should be reported with the same number of significant figures as the given measurement, which is four. Thus, 1559 cm is equal to 613.8 inches.
Explanation:To convert 1559 cm to inches using the conversion factor 1 inch = 2.54 cm, we divide 1559 by 2.54. The number 1559 has four significant figures because all non-zero digits are considered significant. Since the conversion factor 2.54 cm per inch is exact and does not limit the number of significant figures, the result should also be reported with four significant figures.
The calculation would be as follows:
1559 cm ÷ 2.54 cm/in = 613.7795 inchesTo match the number of significant figures in 1559, we round the result to four significant figures.So, 1559 cm is equal to 613.8 inches when converted and properly rounded.
If ABC DEC, what is the value of x?
x = 8
x = 5
x = 4
x = 1
x = 2
Answer:
Option D. x = 1
Step-by-step explanation:
If the two triangles Δ ABC and ΔDEC are similar then there corresponding sides will be in the same ratio.
Now using this theorem in these triangles
[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]
Now it has been given
AB = (4x - 1)
BC = 4
EC = 4
DE = x + 2
By putting these values in the formula
[tex]\frac{4x-1}{x+2}=\frac{4}{4}=1[/tex]
We cross multiply on both the sides
(4x - 1) = (x + 2)
4x - x = 1 + 2
3x = 3
x = 1
Option D. x = 1 is the answer.
What is the expression in radical form?
(3p^3q)^3/4
The Expression [tex](3p^{3} q)^{\frac{3}{4} }[/tex] in radical form is [tex]p^{2} \sqrt[4]{27pq^{3} }[/tex]
What is Expression?An expression is a combination of numbers, operator and variables.
The given expression is [tex](3p^{3} q)^{\frac{3}{4} }[/tex]
We know that
[tex]a^{\frac{p}{q} } =\sqrt[q]{a^{p} }[/tex]
So let us use same form to solve the given expression to radical form.
[tex](3p^{3} q)^{\frac{3}{4} }[/tex]=[tex]\sqrt[4]{(3p^{3} q)^{3} }[/tex]
Simplify the terms in root,
=[tex]\sqrt[4]{(3^{3}p^{3.3}q^{3} }[/tex]
=[tex]\sqrt[4]{27p^{9}q^{3} }[/tex]
[tex]\sqrt[4]{27p^{4}p^{4}pq^{3} }[/tex]
=[tex]p.p\sqrt[4]{27pq^{3} }[/tex]
=[tex]p^{2} \sqrt[4]{27pq^{3} }[/tex]
Hence the Expression [tex](3p^{3} q)^{\frac{3}{4} }[/tex] in radical form is [tex]p^{2} \sqrt[4]{27pq^{3} }[/tex]
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What are the domain restrictions of the expression h^2+3h−10/h^2−12h+20 ?
Select each correct answer.
h≠10
h≠5
h≠2
h≠−5
h≠−10
h≠−2
The domain restrictions of the expression (h² + 3h −10) / (h² − 12h + 20) are h≠2 and h≠10. which are the correct answers would be options (A) and (C).
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The expression is given in the question as
(h² + 3h −10) / (h² − 12h + 20)
(h² + 5h - 2h−10) / (h² − 10h - 2h + 20)
(h(h + 5) - 2(h+5)) / (h(h − 10) - 2(h - 10))
(h + 5)(h - 2) / (h − 10)(h - 2)
We know that the denominator cannot be zero
Here (h-2)(h-10)=0
h= 2 or h = 10
Therefore, h cannot be 2 or 10 i.e. in the notation h≠2 and h≠10.
The domain restrictions of the expression (h² + 3h −10) / (h² − 12h + 20) are
h≠2 and h≠10.
Hence, the correct answers would be options (A) and (C).
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I NEED ALGEBRA HELP, QUICK!! PLEASE!!!!!!!
A savings account balance can be modeled by the graph of the linear function shown on the grid.
What is the rate of change of the balance with respect to the number of deposits?
A) $100 per deposit
B) $50 per deposit
C) $0.50 per deposit
D) $2 per deposit
Answer:
Hey I am also taking the k12 interim right now and I also think the answer is a.
Step-by-step explanation:
The starting balance was at $50 then it gradually started to increase by $100 with each deposit. So you're answer is a.
Check it out yourself and see that the balance is increasing by $100 dollars with each deposit.
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You're at a halloween fair with a big ferris wheel. the wheel has ten chairs and people are seated two per chair. every minute a chair passes the exit platorm. the wheel opens at 11 am for thirty minutes -- how many people took a ride in that time?
The number of persons who have taken the ride is 60.
According to the question, a halloween fair with a big ferris wheel. The wheel has 10 chairs and people are seated [tex]2/chair[/tex].
Also, every minute a chair passes the exit platform and the wheel opens at 11 am for thirty minutes so, the rate at which the chair passes the exit platform is [tex]1\;chair\;per\;minute[/tex].
Now, number of persons who have taken the ride is calculated as-
[tex]n= minutes \times (1\;chair\;per\;minute)\times (2\;persons\;per\;chair)\\n=30\times 2\times 1\\n=60[/tex]
Hence, the number of persons who have taken the ride is 60.
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A card is dealt from a 52-card deck. find the probability that it is not a 77. express the probability as a simplified fraction
the length of a rectangle is 2 cm less than 7 times the width.the perimeter is 60 cm. find the width and length
4 and 26 are the width and length
Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best describes the relationship between the polynomial division and the remainder? The quotient has a remainder of zero. Therefore, the divisor is a factor of the dividend. The quotient has a remainder of 9. Therefore, the divisor is not a factor of the dividend. The quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend. The quotient has a remainder of 36. Therefore, the divisor is a factor of the dividend.
Using long division of polynomials, when we divide (x³ - 7x - 6) by (x - 4), the quotient is x² + 4x + 16 with a remainder of -70. This implies that the divisor (x - 4) is not a factor of the dividend (x³ - 7x - 6), since a non-zero remainder exists.
Explanation:To perform the task, we first note down the dividend (x³ - 7x - 6) and divisor (x - 4). We divide the first term of the dividend by the first term of the divisor to find the first term of the quotient and continue this process as required in polynomial division. Solving this using long division of polynomials, we get:
Dividend: x³ - 7x - 6
Divisor: x - 4
The quotient after performing long division is x² + 4x + 16 and the remainder is -70. This shows that the divisor (x - 4) is not a factor of the dividend (x³ - 7x - 6), since a remainder exists after the division is performed.
So, the correct option is: The quotient has a remainder of -70. Therefore, the divisor is not a factor of the dividend.
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Ind the perimeter and area of the sandbox. Make sure your answers have the correct number of significant digits. A children's sandbox measures 7.8 feet by 5.23 feet.
Mt.Whitney in California is 14,492 feet tall. Mt. McKinley in Alaska is 5,826 feet taller than Mt.Whitney. How tall is Mt.Mckinley
Final answer:
Mt. McKinley is 20,318 feet tall. This is found by adding Mt. Whitney's height of 14,492 feet to the additional 5,826 feet that Mt. McKinley is taller by.
Explanation:
The question asks how tall Mt. McKinley is. First, we know Mt. Whitney has a height of 14,492 feet. According to the question, Mt. McKinley is 5,826 feet taller than Mt. Whitney. To find the height of Mt. McKinley, we need to add these two measurements together.
Step 1: Write down the height of Mt. Whitney: 14,492 feet.
Step 2: Add the additional height of Mt. McKinley to Mt. Whitney's height: 14,492 feet + 5,826 feet.
Step 3: Perform the addition: 14,492 + 5,826 = 20,318 feet.
Therefore, Mt. McKinley is 20,318 feet tall.
Which number produces a rational number when added to 1/5?
The temperature dropped 6c every hour for 7 hours. What was the total number of degrees the temperature changed in the 7 hours
Evaluate the expression -6×2×(-2)×(-5)×(-3)
Which of the following is a radical equation?
Answer:
C. [tex]\sqrt{x}+3=13[/tex]
Step-by-step explanation:
We know that,
A radical equation is the equation in which the variable is under the radical.
According to the options, we see that,
In the equation [tex]\sqrt{x}+3=13[/tex], the variable is under the radical.
All other equations have constant number under the radical.
Thus, we get,
Equation C i.e. [tex]\sqrt{x}+3=13[/tex] is a radical equation.
[tex]\fbox{\text{Option C}}[/tex] is correct as [tex]\sqrt x+3 = 13[/tex] is radical equation because the variable is under the radical and the radicand is [tex]x[/tex].
Further explanation:
Radical can be describing as a square root, a cube root, a fourth root or higher root.
Radical equation can be defined as any equation that contains a radical on the variable is known as the radical equation.
The term under the radical symbol is known as radicand.
Option A is not correct.
Here, [tex]x\sqrt 3= 13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.
Option B is not correct.
Here, [tex]x+\sqrt 3=13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.
Option C is correct.
Here, [tex]\sqrt x+3=13[/tex] is radical equation because the variable is under the radical and the radicand is .
Option D is not correct.
Here, [tex]x+3 =\sqrt {13}[/tex] is not radical equation because the variable is not under the radical.
The equation [tex]\sqrt x+3=13[/tex] is a radical equation. Therefore [tex]\fbox{\text{Option C}}[/tex] is correct.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: functions, equation, radical equation, radical, square root, cube root, fourth root, variable, radicand, term, under, contains describe.
) the admission fee at a small fair is $1.50 for children and $4 for adults. on a certain day 2,200 people enter the fair and $5,050 is collected. how many children and how many adults attended?
Jordan is three years older than four times Lily's age. The sum of their age is 68. How old is Jordan?
3 1/3 lb of turkey for 10.50
What is the equation of a line that passes through the points (3,6) and (8,4)
PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Write an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.
PART B: Write the equation obtained in Part A using function notation.
PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
A female grizzly bear weighs 500 pounds. after hibernating for 6 months, she only weighs 200 pounds. what is the mean change in weight per month
Mean change is the average change over an entire data set.
The mean change in weight per month is 50 pounds.
What is mean change?Mean change is the average change over an entire data set.
We have,
The weight of the bear = 500 pounds
After 6 months the weight of the bear = 200 pounds
The change in weight of the bear in 6 months = 300 pounds
We can write it as:
6 months = 300 pounds
We need to find the weight change in one month so we need to make 6 months into 1 month by dividing both sides by 6.
So,
6/6 month = 300/6 pounds
1 month = 50 pounds
Thus the mean change in weight per month is 50 pounds.
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True false to find the midpoint of a segment, first mark a point not on the segment and then fold the paper so that the point you marked and a point on the line are included in the fold
Cafe A offers 2 free bottled waters or juices for every 20 purchased.Cafe B offers 3 bottled waters or juices for every 25 purchased. A) What is Cafe A's ratio of free drinks to purchased drinks? B) What is Cafe B's ratio of free drinks to purchased drinks? C) If you purchased 50 drinks at each cafe how many free drinks would you get?
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In isosceles ∆DEK with base DK, EF is the angle bisector of ∠E, m∠DEF = 43°, and DK = 16cm. Find: KF, m∠DEK, m∠EFD.
The acceleration of an object varies directly with the force acting on it. If a force of 70 newtons causes an acceleration of 6.5 m/s2, what force will cause ann acceleration of 8m/s2? round your answer the hundredths place
Using Newton's Second Law of Motion, and the principle that acceleration is directly proportional to the applied force, a force of approximately 86.15 newtons will cause an acceleration of 8 m/s².
Explanation:The question relates to the principle stated in Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, we can assume the mass of the object remains unchanged.
To find the force that will cause an acceleration of 8 m/s², we can set up a direct proportion based on the given data (70 N correlates with 6.5 m/s²):
70 N / 6.5 m/s² = X N / 8 m/s²
Solving this for X gives X = (70 N * 8 m/s²) / 6.5 m/s². Round your answer to the nearest hundredth, you get approximately 86.15 N.
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The coordinates of the vertices of quadrilateral ABCD are A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2) . Drag and drop the choices into each box to correctly complete the sentences.
Is it possible for two different numbers, when squared, to give the same result? What does this result tell you about solving an equation when the variable is squared? How many solutions will an equation like this have? Will there always be the same number of solutions for any equation with a squared variable? Explain.
find the roots of the quadratic function x^2=100
Find the time in hours and minutes from 09.40 to 13.25
True or false.The GCF of any two odd numbers is always odd