Answer:
4\(x^{2} - 2x^{2} = 16\\x^{2} - 4 = 16\\ ||||-4 ||-4||\\x^{2} =20\\\\\sqrt{x} ^{2} = \sqrt{16} \\x = 4\)
Step-by-step explanation:
x
. Sonya buys four pairs of shoes on
sale for buy one, get one 50% off.
The sales tax is 6.5%. If the
original price for each pair of shoes
was $35, how much does Sonya
pay for the four pairs altogether?
A. $74.55
B. $105.00
C. $111.83
D. $149.10
________________
Answer:
c
Step-by-step explanation:
35/2=17.5 *2= 35+35+35= 105
6.5% of 105 is 6.83, so 105+ 6.83= 111.83
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax
Answer:
$204.98
Step-by-step explanation:
Step 1: Add both item cost
\(99.90 + 89.90 = 189.80\)
Step 2: Find the sales tax of the result
\(\frac{8}{100}\times 189.8 = 15.184\)
Step 1: Convert 8% to fraction\(8\%= \frac{8}{100}\)Simplify\(\frac{8}{100} = \frac{2}{25}\)Step 2: Convert 189.80 to a fraction\(189.80 = \frac{189.8}{1}\)Step 3: Set it up\(\frac{2}{25}\times \frac{189.8}{1}\)Step 4: Cross divide\(189.80 \div 25 = 7.592\\2 \div 1 = 2\)Step 5: Multiply the result\(7.592 \times 2 = 15.184\)Step 3: Add the result from the total cost of both items
\(189.80 + 15.184 = 204.98\)
The total cost of the hats and boots including sales tax is 204.98 dollars
x
12
11
10
y
10
9
8
Which equation best illustrate the relationship between x and y?
Answer:
x 12, y 10 (I think, I'm not really sure since there is nothing to work out)
The measure of AB is 126º. What is the measure of ABC, the tangent- chord angle?
Ans: B 63 degree
Step-by-step explanation:
Chord
to find the chord
1/2 or either 0.5
0.5 x 126 = 63
Mark me as Brainliest
Ty , hope it helped
Answer:
B
Step-by-step explanation:
is is correct 63 degrees , Hope this helps !!
rand function: to make the value static so that they don't keep changing when we click anywhere in the excel sheet, use copy and then paste as?
In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.
What is function?The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.
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if 28.0% of a sample of copper-64 decays in 6.16 hours, what is the half-life of this isotope (in hours)?
The half-life of this isotope (in hours) is 13.0
Isotopes are variations of chemical elements that have a varied number of neutrons but the same number of protons and electrons. In other words, isotopes are different forms of the same element that have different amounts of nucleons (the sum of protons and neutrons) because of variations in the total number of neutrons in each of their individual nuclei.
An important application of isotopes is in the determination of the isotopic signature of element samples via isotope analysis. This is generally done via the process of isotope ratio mass spectrometry.
28% decay means, 72% remains.
Now,
\(N=N_{n} (\frac{1}{2})^{t/t_{12} } \\72=100(\frac{1}{2} )^{\frac{6.16 hours}{t_{1/2} } } \\(\frac{72}{100} )=(\frac{1}{2} )^{\frac{6.16 hours}{t_{1/2} } } \\\)
Taking long as both sides & solving we get,
\(t_{\frac{1}{2} } = 13.0 hours\)
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Help please :). I hate trigonometry
Answer: You shouldn't hate trig.
Step-by-step explanation:
SinΘ= opposite/hypotenuse
SinΘ=y/x
Sin(16) = 9/x
x = 9/Sin(16)
x= 32.7 cm
Problem 3. Find the mass and center of mass of the lamina that occupies the region bounded by the parabolas y = r² and x = y², and has density function p(x, y) = √√T.
The mass and center of mass of the lamina that occupies the region D and has the given density function p is 57/14 and (14/27, 7/18) respectively.
The center of mass (x―,y―) of a lamina with density function ρ(x,y) is given by
x = M(y)/m, y = M(x)/m
Where, m=∫∫ρ(x,y)dA
Mx=∫∫ yρ(x,y)dA
My=∫∫ xρ(x,y)dA
Given that, D is bounded by y=x^2 and x=y^2
And ρ(x,y)=19√x
Now, for the point of intersection of y=x^2,x=y^2
The lamina is customary, so its focal point of mass is its mathematical focus. Take a lamina with three holes near its perimeter and now suspend it through each hole one at a time.
Here,
The mass density of a lamina is the mass per unit area. Take into consideration the following lamina, whose density varies with the object: On a semicircular lamina D with a radius of three, the density at any point is proportional to the distance from the origin.
We know,
A lamina's centroid is the point at which it would balance on a needle. The point at which a solid would "balance" is called the centroid.
Consider a lamina formed by the intersection of two curves y = f (x) and y = g (x) at points with x-coordinates of x = a and b.
Mass (M) = b a g (x) f (x) d y d x x-coordinate (x) = b a x (x, y) [ g (x) f (x)] d x y-coordinate (y) = b a 1 2 (x, y) [ [ g (x)] 2 [ f (x)] 2] d x.
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Today Nia completed her sixth hour of training which represents her sixth hour of training, which represents 7.5% of the total number of hours in the training. How many hours will Nia spend in training in all?
The times spent in training is an illustration of proportions
The times spent in training is 80 hours
The given parameters are:
Time spent = 6 hours
Time spent as a percentage = 7.5%
Let the total time spent in training be x.
The scenario is represented by the following equation
Time spent = Time spent as a percentage * Total Time
So, we have:
6 = 7.5% * x
Express percentage as decimal
6 = 0.075 * x
Divide both sides by 0.075
80 = x
Rewrite as:
x = 80
Hence, the times spent in training is 80 hours
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Bernice paid $162 in interest on a loan if $1,800 borrowed at 6%. How long did it take her to pay off the loan?
Answer:
1.5 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
t = 162 / ( 1800 × 0.06 ) = 1.5
t = 1.5 years
The time required to
accumulate simple interest of $ 162.00
from a principal of $ 1,800.00
at an interest rate of 6% per year
is 1.5 years (about 1 years 6 months).
What equation models the line that goes through the point (12,3) and has a slope of -1/3
Answer:
y= -1/3x+7
Step-by-step explanation:
Indicate whether the line on the graph is a function
The line on the graph is a function
How to determine if the line is a function?The given parameter is the graph
From the graph, we can see that the curve or the line is a quadratic function
As a general rule, all lines represented by a quadratic function are functions
This implies that the line is a function
It should be noted that:
Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
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Solve the equation w = xyz for z
Answer:
x=\(\frac{x}{yz}\)
(2x + 3)/5 = (x - 2)/3
What is x?
LET f be the function given by f(x) = 4xe^3x
These values were found \(\lim_{x \to -\infty} f(x) = 0\) & \(\lim_{x \to \infty} f(x) = \infty\) from the given equation.
What is the limit?
A limit in mathematics is the value that a function approaches as its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.
We have,
f(x) = 4xe³ˣ / 1
f(x) = 4xe³ˣ
\(\lim_{x \to \infty} f(x) = ?\)l
\(\lim_{x \to -\infty} f(x) = ?\)
\(\lim_{x \to -\infty} f(x) = \lim_{x \to -\infty} 4xe^{3x}\)
It is the form -∞ * 0 which is an undetermined form
Write it has a fraction then apply l'Hospital's Rule
\(\lim_{x \to -\infty} \frac{4x}{1 / e^{3x} } = \lim_{x \to -\infty} \frac{4}{ -3e^{3x} / e^{6x} }\)
\(= \lim_{x \to -\infty} \frac{4}{-3/e^{3x}} } = \lim_{x \to -\infty} \frac{4e^{3x}}{ -3 }\)
\(= \frac{4e^{-x}}{ -3 }\)
\(= \frac{0}{ -3 } = 0\)
\(\lim_{x \to \infty} f(x) = \lim_{x \to \infty} 4xe^{3x}\)
Simply evaluate
\(\lim_{x \to \infty} 4xe^{3x} = \infty * \infty = \infty\)
(∞*∞ is not an undetermined form).
f(x) = 4xe³ˣ
\(\lim_{x \to -\infty} f(x) = 0\)
\(\lim_{x \to \infty} f(x) = \infty\)
Hence, these values were found \(\lim_{x \to -\infty} f(x) = 0\) & \(\lim_{x \to \infty} f(x) = \infty\) from the given equation.
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Write an absolute value inequality to represent each situation.
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15⁰ F to 45⁰F . Let t represent the temperature for which the coat is intended.
Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30
Step-by-step explanation:
To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"
First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15
Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30
Now we can set up our equation,
center (c) = 15
tolerance (t) = 30
|t - 15| ≤ 30
Now that we have our equation, we can set up the inequality
|x - c| ≤ t = -t ≤ x - c ≤ t
so,
-30 ≤ t - 15 ≤ 30
Hope this helps!
(sorry it was so long)
The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.
Which system of equations best represents the situation above?
Answer:
12.5a + 6s = 264.5 and a + s = 30
Step-by-step explanation:
They also intersect at (17, 13)
(17 student tickets, 13 adult tickets)
Good Luck!
what is the axis of symmetry of this quadratic? -5x² + 70x + 3
Answer:
x=7
Step-by-step explanation:
You graph it and find the middle point that would create a line through it and see where it his the x-axis.
Which side of DEF is the longest?
A. DE
B. EF
C. DF
D. Cannot be determined
\( \huge {\tt{Answer:}} \)
A. DE
Option (A) DE side of the triangle DEF is the longest side.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.
The sum of the interior angles of a triangle is equal to 180°.
⇒ \(\angle D+\angle E+\angle F=180\)
⇒ \(65+42+ \angle F=180\)
⇒ \(\angle F=180-107\)
⇒ \(\angle F=73\)
The side corresponding to the ∠D is EF, ∠E is DF, ∠F is DE
The angle which is greater has the longest side.
⇒ \(\angle F > \angle D > \angle E\)
⇒ \(DE > EF > DF\)
Thus the side DE has the longest length.
Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.
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Find the zeros of the following function. List both in the blank below.
f(x) = x^2- 2x-15
Answer:
x=5, -3
Step-by-step explanation:
To find the roots, replace y with 0 and solve for x. Hope this helps!
You receive a bag of 300 gummy bears, 28% of the gummy bears are red. How many gummy bears are red?
Answer:
84 are red
Step-by-step explanation:
DIRECTIONS: Use this diagram to answer Parts A and B. 60° 55° Part A Find the value of x in the diagram.
By using the properties of triangles and straight lines we get the values of x as 65° and the value of y as 115°
A) In the given triangles we know that the sum of all the angles is 180 .
Hence :
60 + 55 + c = 180
or, c = 180° - 115°
or, c = 65°
Now the angle marked x is vertical angle to the angle c , hence the value of x is also 65°.
B) Now we know that the value of x is 65°
Again x + y = 180°
Therefore : 65° + y = 180° or, y = 180° - 65° or, y = 115°
Three vertices, three sides, and three angles make up a closed triangle. PQR serves as the symbol for a triangle with the vertices P, Q, and R.
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can someone please help me with this :( asap
b
こんにちは
mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.30 hours per week playing organized sports. The population's standard deviation is 3.20 hours per week. Based on a sample of 64 students, Healthy Lifestyles incorporated (HLI) Would like to apply the central limit theorem to make various estimates. Compute the standard error of the sample mean. (Round your answer to 2 decimal places.)
What is the chance HLI will find a sample mean between 4.7 and 5.9 hours? (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)
Calculate the probability that the sample mean will be between 5.1 and 5.5 hours. (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.)
a. The standard error of the sample mean is 0.40 hours per week
b. The chance HLI will find a sample mean between 4.7 and 5.9 hours is 86.64%
c. The probability that the sample mean will be between 5.1 and 5.5 hours is 38.30%
a. To compute the standard error of the sample mean, we use the formula:
SE = σ / √(n)
where σ is the population standard deviation and n is the sample size.
Given that σ = 3.20 hours per week and n = 64, we have:
SE = 3.20 / √(64) = 0.40 hours per week
b. To find the chance that HLI will find a sample mean between 4.7 and 5.9 hours, we need to calculate the z-scores for these values:
z1 = (4.7 - 5.30) / 0.40 = -1.50
z2 = (5.9 - 5.30) / 0.40 = 1.50
Using a standard normal distribution table or calculator, we can find the probability of the sample mean falling between these two values:
P(-1.50 < z < 1.50) = P(z < 1.50) - P(z < -1.50) = 0.9332 - 0.0668 = 0.8664
Therefore, there is an 86.64% chance that HLI will find a sample mean between 4.7 and 5.9 hours.
c. To calculate the probability that the sample mean will be between 5.1 and 5.5 hours, we first need to calculate the z-scores for these values:
z1 = (5.1 - 5.30) / 0.40 = -0.50
z2 = (5.5 - 5.30) / 0.40 = 0.50
Using a standard normal distribution table or calculator, we can find the probability of the sample mean falling between these two values:
P(-0.50 < z < 0.50) = P(z < 0.50) - P(z < -0.50) = 0.6915 - 0.3085 = 0.3830
Therefore, there is a 38.30% chance that the sample mean will be between 5.1 and 5.5 hours.
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Suppose there is significant correlation between two variables. Describe two cases under which it might be inappropriate to use the linear regression equation for prediction. Give examples to support these cases.
There are two cases when it might be inappropriate to use a linear regression equation for prediction despite significant correlation between two variables are Non-Linear Relationships , Outliers
1. Non-Linear Relationships: If the relationship between the two variables is non-linear, a linear regression equation will not accurately capture the relationship and should not be used for prediction.
For example, the relationship between the height and weight of a person might follow a quadratic or cubic relationship and thus, a linear regression equation would not provide accurate predictions.
2. Outliers: If there are outliers in the data, a linear regression equation may be inappropriately influenced by them, leading to inaccurate predictions.
For example, in a dataset of the relationship between a person's height and salary, the salary of a CEO might be an outlier and affect the linear regression equation, leading to inaccurate predictions for other employees.
In these cases, alternative regression models or data transformation techniques might be more appropriate.
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Each face of a cube has an area of 25 ft². What is the surface area of the cube?
Answer:
Step-by-step explanation:
Area of each face of a cube = 25 ft²
⇒ Side² = 25
Surface area of cube = 6side²
= 6*25
= 150 ft²
Answer:
For anyone who needs it the answer is 150 ft
Step-by-step explanation:
Find all the numbers such that the sum of twice the number and 8 is greater than or equal to tour times the number
Answer:
Step-by-step explanation:
Let the number = x
2x + 8 ≥ 4x Subtract 2x from both sides.
8 ≥ 4x - 2x Combine
8 ≥ 2x Divide by 2
8/2 ≥ 2x/2 Combine
4 ≥ x
What this means is that the largest value the x can have is 4. Any number greater that 4 will make the use of ≥ incorrect.
how to write this numbers in word 89.04
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
y=-2x+8
y=x-7
solved by graphing
Answer:
See the attached graph
Step-by-step explanation:
The solution is the labelled point of intersection in the graph
solve and get brainliest!!
please be sure of your answer!!!!
Answer:
I think it is supplementary