Answers
Answer: The mystery number is 5.5
5.5 converts to the fraction 11/2.
=================================================
Explanation:
The phrasing "subtract 10 from the number, then square the result" leads to the expression [tex](\text{x}-10)^2[/tex]
The phrasing "Square the number, then subtract 10 from the result" means we have [tex]\text{x}^2-10[/tex]
Set those expressions equal to one another so we can solve for x like shown in the steps below.
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\\text{x}^2-20\text{x}+100 = \text{x}^2-10\\\\-20\text{x}+100 = -10\\\\-20\text{x} = -10-100\\\\\text{x} = -110/(-20)\\\\\text{x}=11/2\\\\\text{x} = 5.5[/tex]
The x^2 terms cancel out in the third step (since we subtract x^2 from both sides).
--------------
Check:
[tex](\text{x}-10)^2 = \text{x}^2-10\\\\(5.5-10)^2 = (5.5)^2-10\\\\(-4.5)^2 = (5.5)^2-10\\\\20.25 = 30.25-10\\\\20.25 = 20.25[/tex]
The answer is confirmed.
Related Questions
A pyramid has a base area of 44cm and a height of 12. 6 cm what is the volume of the pyramid ?
Answers
Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.
Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral
The Volume of the Pyramid with base area and height is given by the equation (1)
[tex]Volume = (1/3)Ah....(1)[/tex]
[tex]A = a^{2}[/tex]
[tex]a = Side[/tex]
A = [tex]a^{2}[/tex] = [tex]44cm^{2}[/tex]
[tex]h = 12.6[/tex]
Putting these values in equation (1) we get
[tex]Volume = (1/3)X44X12.6[/tex]
[tex]Volume[/tex] [tex]= 184.8cm^{3}[/tex]
Hence , the volume of the pyramid is 184.8cm³
What is the equation of a circle with endpoints of the diameter at (-8, -5) and (-4, 1) ??
Answers
Answer:(x + 6) + (y + 2)^2 = 13
Step-by-step explanation:
The centre of the circle is halfway along the diameter = (-6, -2)
r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13
So circle equation is (x - -6)^2 + (y - -2)^2 = 13
How do you find the zero’s algebraically?
Answers
To find the zeros of a polynomial algebraically, you can use the following steps:
Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.
Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:
3x^2 - 2x + 5 = 0
Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.
For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:
x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)
x = (2 +/- sqrt(4 - 60)) / 6
x = (2 +/- sqrt(-56)) / 6
Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.
Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.
For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.
To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:
(-6)^3 - 2(-6)^2 + (-6) - 6 = 0
(-216) - (-72) + (-6) - 6 = 0
-144 - 6 - 6 = 0
-156 = 0
This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.
what are the conditions for using the normal approximation for a sampling distribution of proportions g
Answers
The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.
What prerequisites must be met for a sampling distribution of proportions g in order to use the normal approximation?The conditions for using the normal approximation for a sampling distribution of proportions are as follows: The sample size (n) must be sufficiently large (usually 30 or more). The sample proportion (p) should not be close to 0 or 1. The population distribution should be normally distributed.The general rule is that if the sample size (n) is greater than or equal to 30, then the normal approximation can be used. When using the normal approximation for a sampling distribution of proportions, the sample size must be greater than or equal to 30 and the population proportion (p) must be between 5% and 95%. Furthermore, the sample size must be large enough that the expected number of successes (np) and expected number of failures (nq) are both greater than or equal to 10. Finally, the sampling distribution should be approximately normal and the sample should be randomly selected from the population. The normal approximation is a useful tool for estimating confidence intervals and the probability of extreme values, as well as for hypothesis testing. It can be used to estimate the probability of success in a given sample of proportions, which can be helpful when making decisions about a population or understanding the behavior of a system.To learn more about distribution of proportions refer to:
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Fatuma recently hired a roofer to do some necessary work. On the final bill, Fatuma was charged a total of $1449. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $63, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable and express any percents in decimal form in the equation.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was
Answers
(A) The equation is:
$63[tex]x[/tex] = $1449 - $315
(B) The labor hours needed to complete the job was 18 hours.
STEPS TO FIND TIME OF THE COMPLETE JOBS(A) To find the number of labor hours needed to complete the job, we can set up an equation using the information given in the problem.
We know that the total bill was $1449, and $315 of that was for parts. So the remaining amount, $1449 - $315 = $1134, was for labor.We also know that the hourly rate for labor was $63. To find the number of hours needed for labor, we can divide the amount for labor by the hourly rate:$63[tex]x[/tex] = $1449 - $315
[tex]x[/tex] = ($1134 / $63)
Solving this equation gives us the number of hours needed for labor, which is 18 hours. We can check this by multiplying 18 hours by the hourly rate, which should give us the same amount for labor:[tex]x[/tex] = ($1134 / $63)
= 18 hours
Double check for:18 hours × $63 = $1134
This confirms that 18 hours is the correct number of labor hours needed to complete the job.
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I NEED HELP WITH THIS PLEASEEE
Answers
Answer:
The probability of it being greater than 6 is 3/4.
Step-by-step explanation:
there are 4 outcomes, and 6 is only one of them. 3 are greater than 6, so 4 out of the 4 times the number will be greater than 6.
Please answer both! Thanks sm :)
Answers
Answer:
1. C= 2(pi)(d/2)
2. C= 2(pi)r
Step-by-step explanation:
The first answer is where you would have to find the radius of the circle if you know the diameter. And to find the radius, you would have to divide the diameter by 2 to get the radius. Welp.... I wish you luck! ;)
In which pair of numbers does the red number have a greater value?
Circle your answer.
365 or
3,456
Answers
i think the answer is 365 .
Solve the simultaneous equations
5x−y=8
7x+4y=22
Answers
Answer:
5x-8 m=5
m= -7/4
Step-by-step explanation:
What is the quotient of -12 divided (1/6)
Answers
1
8
=
25
8
2
1
6
=
13
6
Giving us
25
8
/
13
6
A rule for dividing fractions is multiplying by the reciprocal so,
25
8
⋅
6
13
=
150
104
150
104
can be simplified to
75
54
Kendra used 6 loaves of bread on an 8 day hiking trip. She wants to know how many loaves of bread she should pack for a 12 day hiking trip if she eats the same amount of bread each day.
Answers
Answer:
9 loaves of bread
Step-by-step explanation:
We know
8 days = 6 loaves of bread
1 day = 0.75 loaves of bread
12 days = 0.75 x 12 = 9 loaves of bread
So, she should pack 9 loaves of bread for a 12-day hiking trip.
Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
Step-by-step explanation:
Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.
Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).
This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.
0.75 * 12 = 9.
Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!
NOW IT HAS TO EQUAL TO 100 WHERE DO YOU PUT THE PARENTHESES!!!! HELP QUICK PLS
4+2•3^2
IT HAS TO EQUAL 100
Answers
Answer: (4+2)•(3^2?
Step-by-step explanation: I hope that helps I don't know how to explain but ya. But that's where u put the parentheses.
Answer:
(4+2×3)^(2)
Step-by-step explanation:
First, because parenthesis are being used, we will start by multiplying 2 by 3, giving us 6
(4+6)^(2)
Then, we add 6 to 4
(10)^2
and we then raise 10 to the 2nd power
100
Please help I need this
Answers
Answer:
[tex]4+2 i[/tex]
Step-by-step explanation:
[tex]i=\sqrt{-1}[/tex]
[tex]4+\sqrt{-4} =4+\sqrt{-1} * \sqrt{4} =4+i2[/tex]
Answer:
the expression of number 4+√(-4) in
a+bi
form is 4+2i
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Answers
So, here’s the equation:
t²+s²=u²
Where t=leg 1, s=leg 3, and u=hypotenuse
Eydin has two strips if stickers,A and B, of the same length.The length of each sticker is 1.2 cm. The stickers in each strip form a repeated patteren as shown below
There are 56 heart stickers all together in both strips of stickers.What is the length of each strip of stickers?
Answers
Answer:
Each strip is 117.6 cm
Step-by-step explanation:
I created a proportion of hearts to others. On strip A there is 1 heart to 2 others and B there is 1 heart to 3 others. I added them and got a proportion of 2 hearts to 5 others for both. With a total of 56 hearts, I set up a proportion to determine the total stickers
2/5=56/x
When I cross multiply, I get 2x=280 and x=140
so for the 56 total hearts, I have 140 others. I added those to get the total stickers and got 196. I multiplied that by 1.2cm and got 235.2 cm for both. Since both are the same size, just divide that by 2 and get 117.6 cm each.
The new athletic
facility on the
downtown campus
measures 0.74 km
by 0.4 km. How
many square
meters is the
facility?
Answers
Answer:
0.296 square km or 296000 square meters
Step-by-step explanation:
first of all to find the area you multiply 0.74 and 0.4 to get 0.296 square kilometers then you multiply by 1 million to convert it to square meters
would be amazing if you marked this as brainliest
А
4 yards
B
С
15 yards
Find the area of AABC.
[?] yd ]
Enter
Answers
answer:
30 yd^2
step-by-step explanation:
in order to find the area of a triangle, we can use: A = 1/2 · b · hA = areab = baseh = heightplug in,
A = 1/2(b)(h)
A = 1/2(15)(4)
A = 1/2(60)
A = 30 yd^2
Please help with this question
Answers
Answer: The answer is 25 then if it asks for the equation it is A=1/2bh
Step-by-step explanation:
The b or base is 10
The height or h is 5
A=1/2bh
A=1/2(10)(5)
A=1/2(50)
A=25
I hope this helps :)
Answer:
25m^2
Step-by-step explanation:
the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.
Work out the area of this shape. Give your answer
in cm².
3 cm
4 cm
10 cm
Answers
The area of the given shape is 46 cm²
Formulas used:
Area of the triangle = (1/2) × Base × Height
Area of rectangle = Base × Width
Here we have
The composite figure with a right-angled triangle and a rectangle
In a right-angled triangle,
The base of the triangle = 3 cm
Height of the triangle = 4 cm
Area of the triangle
= (1/2) × base × height
= (1/2) × 3 × 4
= (1) × 3 cm × 2 cm
= 6 cm²
In rectangle,
Length of the rectangle = 10 cm
Width of the rectangle = 4 cm
Area of the rectangle
= Length × Width
= 10 cm × 4 cm
= 40 cm²
By the above calculations,
Area of the given figure = Area of triangle + Area of rectangle
= 6 cm² + 40 cm² = 46 cm²
Therefore,
The area of the given shape is 46 cm²
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1. What is the distance between the points (4, 5) and (-3, 5)?
Answers
d(A,B) = √(-3 - 4)^2 + (5 - 5)^2
d(A,B) = 7
Fernando is tossing bean bags at a target. He hit the target on 6 out of his last 15 tries. What is the experimental probability that Fernando's next toss will be a hit? Write your answer as a fraction or whole number.
Answers
Answer:
6/15
Step-by-step explanation:
sINCE fERANDO hit 6 times and he had 15 tries it is 6/15
help me find the right angles URGENT !!
Answers
Answer:
q is around 85-89 and S is 91-95
Step-by-step explanation:
sorry i dont have a protractor on me this is the best i can do
HELP PLEASE 100 points for EXPLENTATION and ANSWER!!!!
see screenshot
Answers
Answer:
The screenshot is not included!!
The function y=0.18x+0.15 represents the percent y (in decimal form) of battery power remaining x hours after you plug in a laptop computer. Identify and interpret the slope. \
Answers
Step-by-step explanation:
Given
Function is [tex]y=0.18x+0.15[/tex]
where,
[tex]y=\text{Percent of the battery remaining}\\x=\text{time in hours}[/tex]
Comparing the given function with the standard slope-intercept form of the equation [tex]y=mx+c[/tex]
Here, before plugging into the laptop, the percentage of battery is
[tex]y=0.18\times 0+0.15\\y=0.15\ \text{or}\ 15\%[/tex]
The slope of the given function is [tex]0.18[/tex] i.e. in one hour it charges 18% of battery.
need help asap! will give brainliest!
Answers
Answer:
10.5
Step-by-step explanation:
Find a word problem 4=3/4x+0
Answers
Answer:
x=16/3
Step-by-step explanation:
4=3/4x+0
4=3x/4
4=3x/2square
4times4=16
3x/3=16/3
x=16/3
y-intercept of y=-2x+4
Answers
Answer:
Y=4
Step-by-step explanation:
y intercept means x=0
Y=4
What is the probability that this year's graduation will fall on the birthday of exactly one of the 68 Seniors? What is the probability that there is more than one such Senior?
Answers
The probabilities are given as follows:
Birthday of one student: 0.1550 = 15.50%.Birthday of more than one student: 0.0152 = 1.52%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 68, as the class is composed by 68 Seniors.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.Hence the probability of one senior having the birthday on the same day as the graduation is of:
P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.
The probability of more than one is given as follows:
P(X > 1) = 1 - P(X <= 1).
In which:
P(X <= 1) = P(X = 0) + P(X = 1)
Hence:
P(X = 0) = (364/365)^68 = 0.8298.P(X = 1) = 68 x 1/365 x (364/365)^67 = 0.1550.Finally:
P(X <= 1) = 0.8298 + 0.1550 = 0.9848.P(X > 1) = 1 - P(X <= 1) = 1 - 0.9848 = 0.0152.More can be learned about the binomial distribution at https://brainly.com/question/24756209
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Sunshine Raisin Company sells snack-sized boxes of raisins. Twenty boxes were randomly selected and the raisins we counted. The results are shown in the list below. What frequency table BEST represents the Sunshine Raisin data? Sunshine Raisins
Answers
Answer:
a
Step-by-step explanation:
mrk me brainliest
Answer:
the correct answer is A
Step by step explanation
Write a formula for arc length S in terms of r for the following figure.
1.2
S
The angle in the figure is a central angle in radians.
SE
Answers
Answer:
1.2r
Step-by-step explanation:
The arc length in terms of r will be equal to 1.2r.
What is the arc length of the circle?The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.
It is given that the angle in radians is 1.2 and the radius is r then the arc length will be calculated as below:-
The arc length = Angle x radius
The arc length = 1.2 x r
The arc length = 1.2r
Therefore, the arc length in terms of r will be equal to 1.2r.
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